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<div id="content" class="content">
<h1 class="title">Structure and Interpretation of Computer Programs</h1>
<div id="table-of-contents" role="doc-toc">
<h2>Table of Contents</h2>
<div id="text-table-of-contents" role="doc-toc">
<ul>
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<li><a href="#org65e2102">1. Foreword and Preface</a></li>
<li><a href="#orgd844a85">2. 1. Grajenje abstrakcij s procedurami</a>
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<ul>
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<li><a href="#org9cc9e23">2.1. Elementi programiranja</a></li>
<li><a href="#orgc38e99e">2.2. Izvajanje kombinacij(e)</a></li>
<li><a href="#org4561884">2.3. 1.1.4 Sestavljene procedure</a></li>
<li><a href="#org5a7e4a4">2.4. 1.1.5 Substitucijski model za izvajanje procedur</a></li>
<li><a href="#org4f92eb8">2.5. meta</a>
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<ul>
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<li><a href="#org0b39e3d">2.5.1. video lekcije</a></li>
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</ul>
</li>
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<li><a href="#org56f8627">2.6. vaje</a>
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<ul>
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<li><a href="#org26ed807">2.6.1. 1.3</a></li>
<li><a href="#org5917931">2.6.2. 1.5</a></li>
<li><a href="#org46d6002">2.6.3. 1.6</a></li>
<li><a href="#org752ea5e">2.6.4. 1.7</a></li>
<li><a href="#org5fba44a">2.6.5. 1.8</a></li>
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</ul>
</li>
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<li><a href="#orgdf856c9">2.7. 1.1.8 Procedure kot crne skatle abstrakcij</a></li>
<li><a href="#orgc1bedf1">2.8. 1.2.2 Drevesna rekurzija</a></li>
<li><a href="#orga7e8396">2.9. 1.2.3 Redi rasti</a></li>
<li><a href="#orgf79e38f">2.10. 1.2.4 Eksponentna funkcija</a></li>
<li><a href="#org8125de0">2.11. 1.2.5 Najvecji skupni deljitel</a></li>
<li><a href="#orge8e49b3">2.12. 1.2.6 Primer: Iskanje prastevil</a></li>
<li><a href="#org6c46b7b">2.13. 1.3 Sestavljanje abstrakcij s procedurami visjega reda</a></li>
<li><a href="#orga8cba41">2.14. 1.3.1 Procedure kot argumenti</a></li>
<li><a href="#orgb6993b9">2.15. 1.3.2 Sestavljanje procedur z Lambda</a></li>
<li><a href="#org5ea790c">2.16. 1.3.3 Procedure kot splosne metode</a></li>
<li><a href="#org0a1c5a7">2.17. 1.3.4 Procedure kot vrnjene vrednosti</a></li>
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</ul>
</li>
</ul>
</div>
</div>
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<div id="outline-container-org65e2102" class="outline-2">
<h2 id="org65e2102"><span class="section-number-2">1.</span> Foreword and Preface</h2>
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<div class="outline-text-2" id="text-1">
<blockquote>
<p>
Lisp je preživeli, v uporabi je že "polovico stoletja".
</p>
</blockquote>
<blockquote>
<p>
The discretionary exportable functionality entrusted to the individual Lisp programmer
is more than an order of magniture greater than that to be found within Pascal enterprises.
</p>
</blockquote>
<blockquote>
<p>
Želimo vzpostaviti idejo, da programski jezik ni samo način, da računalnik izvaja operacije,
ampak da je predvsem nov formalni medij za izražanje idej o metodologiji. Zato morajo biti
programi napisani predvsem zato, da jih ljudje berejo, in slučajno, da jih izvajajo računalniki.
</p>
<p>
Bistvena tema ni sintaksa določenih struktur v programskem jeziku, niti &#x2026;, temveč tehnike
nadzora intelektualne kompleksnosti veliki programskih sistemov.
</p>
</blockquote>
<blockquote>
<p>
Naš pristop k temi izvira iz prepričanja, da "computer science" ni znanost in da ima njen
pomen bolj malo opraviti z računalniki. Računalniška revolucija je revolucija v načinu
mišljenja in izražanju idej. Bistvo teh sprememb najbolše opiše pojem
<span class="underline">proceduralne epistemologije</span>, ki se ukvarja s strukturo vednosti z imperativnega stališča
za razliko od klasične matematike, ki je bolj deklerativna. Matematika postavi okvir za
natančno spoprijemanje s pojmovanjem "kaj je". Računanje pa ponudi okvir za natančno
ukvarjanje s pojmovanjem "kako".
</p>
</blockquote>
</div>
</div>
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<div id="outline-container-orgd844a85" class="outline-2">
<h2 id="orgd844a85"><span class="section-number-2">2.</span> 1. Grajenje abstrakcij s procedurami</h2>
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<div class="outline-text-2" id="text-2">
</div>
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<div id="outline-container-org9cc9e23" class="outline-3">
<h3 id="org9cc9e23"><span class="section-number-3">2.1.</span> Elementi programiranja</h3>
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<div class="outline-text-3" id="text-2-1">
<dl class="org-dl">
<dt>Primitivni izrazi</dt><dd>predstavtljajo najpreprostejše gradnike (entitete)
programskega jezika</dd>
<dt>Načini kombinacije,</dt><dd>s katerimi so sestavljeni elementi zgrajeni iz
preprostejših</dd>
<dt>Načini abstrakcije,</dt><dd>s katerimi so lahko sestavljeni elementi poimenovani in
omogočajo upravljanje z njimii kot enotami</dd>
</dl>
</div>
</div>
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<div id="outline-container-orgc38e99e" class="outline-3">
<h3 id="orgc38e99e"><span class="section-number-3">2.2.</span> Izvajanje kombinacij(e)</h3>
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<div class="outline-text-3" id="text-2-2">
<p>
Postopek za izvajanje kombinacij:
</p>
<ol class="org-ol">
<li>Izvedi podizraz kombinacije.</li>
<li>Uporabi/uveljavi proceduro, ki je najbolje levi podizraz (operator) z
argumenti, ki so vrednosti drugih podizrazov (operandi).</li>
</ol>
<p>
Postopek evalvacije je rekurziven, saj drugi korak v sebi vključuje prvega,
oziroma vključuje svojo definicijo.
</p>
<p>
Tako se zgradi akumulacijsko drevo. Na koncu vedno prideš do točke, ko izvajaš
primitivne izraze, ki so:
</p>
<ul class="org-ul">
<li>vrednosti numeričnih števk, ki jo označujejo.</li>
<li>vrednosti vgrajenih operatorjev so strojni ukazi sekvenc, ki izvedejo te
operacije.</li>
<li>vrednosti drugih imen so objekti asociirani s temi imeni v okolju.</li>
</ul>
<p>
Drugo pravilo je poseben primer tretjega pravila. Simboli + in * so tudi
vključeni v globalno okolje in so asociirani s strojnimi ukazi, ki so njihove
vrednosti. <b>Pomembno je prepoznati vlogo okolja pri določanju pomena simbolov v
izrazih.</b>
</p>
<p>
To pravilo se ne nanaša na <span class="underline">posebne oblike (special forms)</span>. <code>define</code> je posebna
oblika.
</p>
</div>
</div>
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<div id="outline-container-org4561884" class="outline-3">
<h3 id="org4561884"><span class="section-number-3">2.3.</span> 1.1.4 Sestavljene procedure</h3>
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<div class="outline-text-3" id="text-2-3">
<ul class="org-ul">
<li>Številke in aritmetične operacije so primitivni podatki in procedure.</li>
<li>Gnezdenje kombinacij omogoča način za združevanje operacij.</li>
<li>Definicije, ki asociirajo imena z vrednostmi omogočajo omejene načine
abstrakcije.</li>
</ul>
<p>
<code>(define (square x) (* x x))</code>
</p>
<p>
<code>(define square (lambda (x) (* x x)))</code>
</p>
</div>
</div>
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<div id="outline-container-org5a7e4a4" class="outline-3">
<h3 id="org5a7e4a4"><span class="section-number-3">2.4.</span> 1.1.5 Substitucijski model za izvajanje procedur</h3>
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<div class="outline-text-3" id="text-2-4">
<p>
Za izvajanje sestavljenih procedur z argumenti, izvedeš telo procedure z vsakim
formalnim parametrom, ki ga nadomestiš s pripadajočim argumentom.
</p>
<p>
<span class="underline">ergh, tukaj se zapletam s slovenskimi prevodi</span>
</p>
<p>
<span class="underline">kaj je application in kaj evaluation?</span>
</p>
<p>
Načini, na katere deluje interpreter (prevajalnik):
</p>
<dl class="org-dl">
<dt>Aplikativni vrstni red</dt><dd>Najprej evalviraj operator in operande, potem pa
izvedi proizvedeno proceduro s pridobljenimi argumenti.</dd>
<dt>Normalni vrstni red</dt><dd>Ne izvajaj operandov dokler njihove vrednost niso
potrebne. Najprej zamenjaj izraze operandov s parametri, dokler ne pride do
izraza, ki vsebuje zgolj primitivne izraze in potem izvedi (vso) evalvacijo.</dd>
</dl>
</div>
</div>
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<div id="outline-container-org4f92eb8" class="outline-3">
<h3 id="org4f92eb8"><span class="section-number-3">2.5.</span> meta</h3>
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<div class="outline-text-3" id="text-2-5">
<p>
Linki:
<a href="https://develop.spacemacs.org/layers/+lang/scheme/README.html">https://develop.spacemacs.org/layers/+lang/scheme/README.html</a>
<a href="https://www.nongnu.org/geiser/">https://www.nongnu.org/geiser/</a>
<a href="https://www.gnu.org/software/guile/learn/">https://www.gnu.org/software/guile/learn/</a>
<a href="https://spritely.institute/static/papers/scheme-primer.html#introduction">https://spritely.institute/static/papers/scheme-primer.html#introduction</a>
</p>
<p>
Kako nastavit spacemacs, in malo o guile-u.
</p>
</div>
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<div id="outline-container-org0b39e3d" class="outline-4">
<h4 id="org0b39e3d"><span class="section-number-4">2.5.1.</span> video lekcije</h4>
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<div class="outline-text-4" id="text-2-5-1">
<p>
<a href="https://yewtu.be/channel/UCEBb1b_L6zDS3xTUrIALZOw">https://yewtu.be/channel/UCEBb1b_L6zDS3xTUrIALZOw</a> (6.001 SICP: Structure and Interpretation of Computer Programs (2004))
<a href="https://yewtu.be/playlist?list=PL7BcsI5ueSNFPCEisbaoQ0kXIDX9rR5FF">https://yewtu.be/playlist?list=PL7BcsI5ueSNFPCEisbaoQ0kXIDX9rR5FF</a> (MIT 6.001 Structure and Interpretation, 1986)
</p>
</div>
</div>
</div>
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<div id="outline-container-org56f8627" class="outline-3">
<h3 id="org56f8627"><span class="section-number-3">2.6.</span> vaje</h3>
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<div class="outline-text-3" id="text-2-6">
</div>
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<div id="outline-container-org26ed807" class="outline-4">
<h4 id="org26ed807"><span class="section-number-4">2.6.1.</span> 1.3</h4>
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<div class="outline-text-4" id="text-2-6-1">
</div>
<ol class="org-ol">
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<li><a id="orgffab77a"></a>najprej narobe<br />
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<div class="outline-text-5" id="text-2-6-1-1">
<p>
Define a procedure that takes three numbers as arguments and returns the sum of
the squares of the two larger numbers.
</p>
<div class="org-src-container">
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<pre class="src src-scheme"><span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum-of-large</span> x y z<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>+
<span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>&gt; x y<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>* x x<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>* y y<span style="color: #67b11d;">)</span><span style="color: #2d9574;">)</span>
<span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>&gt; y z<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>* y y<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>* z z<span style="color: #67b11d;">)</span><span style="color: #2d9574;">)</span>
<span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span>sum-of-large <span style="color: #4e3163;">3</span> <span style="color: #4e3163;">8</span> <span style="color: #4e3163;">5</span><span style="color: #3a81c3;">)</span>
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</pre>
</div>
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<pre class="src src-scheme"><span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum-of-larger</span> x y z<span style="color: #6c3163;">)</span> <span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">let*</span>
<span style="color: #2d9574;">(</span><span style="color: #67b11d;">(</span>s <span style="color: #b1951d;">(</span><span style="color: #3a81c3; font-weight: bold;">lambda</span> <span style="color: #3a81c3;">(</span>a<span style="color: #3a81c3;">)</span> <span style="color: #3a81c3;">(</span>* a a<span style="color: #3a81c3;">)</span><span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>sl <span style="color: #b1951d;">(</span><span style="color: #3a81c3; font-weight: bold;">lambda</span> <span style="color: #3a81c3;">(</span>b c<span style="color: #3a81c3;">)</span> <span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #6c3163;">(</span>&gt; b c<span style="color: #6c3163;">)</span> <span style="color: #6c3163;">(</span>s b<span style="color: #6c3163;">)</span> <span style="color: #6c3163;">(</span>s c<span style="color: #6c3163;">)</span><span style="color: #3a81c3;">)</span><span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
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<span style="color: #2d9574;">)</span>
<span style="color: #2d9574;">(</span>+ <span style="color: #67b11d;">(</span>sl x y<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>sl y z<span style="color: #67b11d;">)</span><span style="color: #2d9574;">)</span>
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<span style="color: #6c3163;">)</span><span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span>sum-of-larger <span style="color: #4e3163;">3</span> <span style="color: #4e3163;">8</span> <span style="color: #4e3163;">5</span><span style="color: #3a81c3;">)</span>
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</pre>
</div>
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</li>
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<li><a id="orgb84d327"></a>pravilno<br />
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<div class="outline-text-5" id="text-2-6-1-2">
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tretje srecanje
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<pre class="src src-scheme"><span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum-squares-of-larger</span> x y z<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #2d9574;">(</span>&gt; x y<span style="color: #2d9574;">)</span>
<span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>&gt; y z<span style="color: #67b11d;">)</span>
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<span style="color: #67b11d;">(</span>+ <span style="color: #b1951d;">(</span>* x x<span style="color: #b1951d;">)</span> <span style="color: #b1951d;">(</span>* y y<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>+ <span style="color: #b1951d;">(</span>* x x<span style="color: #b1951d;">)</span> <span style="color: #b1951d;">(</span>* z z<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span>
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<span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>&gt; x z<span style="color: #67b11d;">)</span>
Linkanje liotovih izpiskov.
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<span style="color: #67b11d;">(</span>+ <span style="color: #b1951d;">(</span>* y y<span style="color: #b1951d;">)</span> <span style="color: #b1951d;">(</span>* x x<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>+ <span style="color: #b1951d;">(</span>* y y<span style="color: #b1951d;">)</span> <span style="color: #b1951d;">(</span>* z z<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span>
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<span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span>sum-squares-of-larger <span style="color: #4e3163;">9</span> <span style="color: #4e3163;">10</span> <span style="color: #4e3163;">8</span><span style="color: #3a81c3;">)</span>
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</pre>
</div>
</div>
</li>
</ol>
</div>
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<div id="outline-container-org5917931" class="outline-4">
<h4 id="org5917931"><span class="section-number-4">2.6.2.</span> 1.5</h4>
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<div class="outline-text-4" id="text-2-6-2">
<p>
Aplikativni vrstni red: pade takoj v neskoncno zanko.
Normalni vrstni red: izvrsi test in pride v if, ki ne izvrsi drugega dela.
</p>
</div>
</div>
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<div id="outline-container-org46d6002" class="outline-4">
<h4 id="org46d6002"><span class="section-number-4">2.6.3.</span> 1.6</h4>
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<div class="outline-text-4" id="text-2-6-3">
<p>
<a href="sqrt-newton.scm">sqrt-newton.scm</a>
</p>
</div>
</div>
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<div id="outline-container-org752ea5e" class="outline-4">
<h4 id="org752ea5e"><span class="section-number-4">2.6.4.</span> 1.7</h4>
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<div class="outline-text-4" id="text-2-6-4">
<ul class="org-ul">
<li><code>good-enough?</code> ni vredu za iskanje korenov majhnih stevil.</li>
<li>pravtako za zelo velika stevila</li>
<li>napisi alternativno <code>good-enough?</code> proceduro, ki bo gledala, kdaj so spremembe
dovolj majhne in takrat prekini funkcijo.</li>
</ul>
<p>
// Poglej v sqrt-newton.scm
</p>
</div>
</div>
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<div id="outline-container-org5fba44a" class="outline-4">
<h4 id="org5fba44a"><span class="section-number-4">2.6.5.</span> 1.8</h4>
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<div class="outline-text-4" id="text-2-6-5">
<p>
// Glej v sqrt-newton.sqm
</p>
</div>
</div>
</div>
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<div id="outline-container-orgdf856c9" class="outline-3">
<h3 id="orgdf856c9"><span class="section-number-3">2.7.</span> 1.1.8 Procedure kot crne skatle abstrakcij</h3>
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<div class="outline-text-3" id="text-2-7">
<ul class="org-ul">
<li>block structure</li>
<li>lexical scoping</li>
</ul>
</div>
</div>
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<div id="outline-container-orgc1bedf1" class="outline-3">
<h3 id="orgc1bedf1"><span class="section-number-3">2.8.</span> 1.2.2 Drevesna rekurzija</h3>
</div>
<div id="outline-container-orga7e8396" class="outline-3">
<h3 id="orga7e8396"><span class="section-number-3">2.9.</span> 1.2.3 Redi rasti</h3>
</div>
<div id="outline-container-orgf79e38f" class="outline-3">
<h3 id="orgf79e38f"><span class="section-number-3">2.10.</span> 1.2.4 Eksponentna funkcija</h3>
</div>
<div id="outline-container-org8125de0" class="outline-3">
<h3 id="org8125de0"><span class="section-number-3">2.11.</span> 1.2.5 Najvecji skupni deljitel</h3>
</div>
<div id="outline-container-orge8e49b3" class="outline-3">
<h3 id="orge8e49b3"><span class="section-number-3">2.12.</span> 1.2.6 Primer: Iskanje prastevil</h3>
</div>
<div id="outline-container-org6c46b7b" class="outline-3">
<h3 id="org6c46b7b"><span class="section-number-3">2.13.</span> 1.3 Sestavljanje abstrakcij s procedurami visjega reda</h3>
</div>
<div id="outline-container-orga8cba41" class="outline-3">
<h3 id="orga8cba41"><span class="section-number-3">2.14.</span> 1.3.1 Procedure kot argumenti</h3>
<div class="outline-text-3" id="text-2-14">
<p>
//exercise 1.29
#name: simpson
</p>
<div class="org-src-container">
<pre class="src src-scheme"><span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum</span> term a next b<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #2d9574;">(</span>&gt; a b<span style="color: #2d9574;">)</span>
<span style="color: #4e3163;">0</span>
<span style="color: #2d9574;">(</span>+ <span style="color: #67b11d;">(</span>term a<span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>sum term <span style="color: #b1951d;">(</span>next a<span style="color: #b1951d;">)</span> next b<span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span>
<span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">integral</span> f a b dx<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #2d9574;">(</span><span style="color: #6c3163; font-weight: bold;">add-dx</span> x<span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span>+ x dx<span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>* <span style="color: #2d9574;">(</span>sum f <span style="color: #67b11d;">(</span>+ a <span style="color: #b1951d;">(</span>/ dx <span style="color: #4e3163;">2.0</span><span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span> add-dx b<span style="color: #2d9574;">)</span> dx<span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum-s</span> term a next b fact<span style="color: #6c3163;">)</span>
<span style="color: #2aa1ae; background-color: #ecf3ec;">;; </span><span style="color: #2aa1ae; background-color: #ecf3ec;">fact is altering between 4 and 2</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #2d9574;">(</span><span style="color: #6c3163; font-weight: bold;">check-fact</span> fact<span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>= fact <span style="color: #4e3163;">4</span><span style="color: #67b11d;">)</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">4</span><span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #2d9574;">(</span>&gt; a b<span style="color: #2d9574;">)</span>
<span style="color: #4e3163;">0</span>
<span style="color: #2d9574;">(</span>+ <span style="color: #67b11d;">(</span>* fact <span style="color: #b1951d;">(</span>term a<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>sum-s term <span style="color: #b1951d;">(</span>next a<span style="color: #b1951d;">)</span> next b <span style="color: #b1951d;">(</span>check-fact fact<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span>
<span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">simpson</span> f a b dx<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #2d9574;">(</span><span style="color: #6c3163; font-weight: bold;">add-dx</span> x<span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span>+ x dx<span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>* <span style="color: #2d9574;">(</span>+ <span style="color: #67b11d;">(</span>f a<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>f b<span style="color: #67b11d;">)</span> <span style="color: #67b11d;">(</span>sum-s f <span style="color: #b1951d;">(</span>add-dx a<span style="color: #b1951d;">)</span> add-dx <span style="color: #b1951d;">(</span>- b dx<span style="color: #b1951d;">)</span> <span style="color: #4e3163;">4</span><span style="color: #67b11d;">)</span> <span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span>/ dx <span style="color: #4e3163;">3.0</span><span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">simpson-gizmo</span> f a b dx<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #2d9574;">(</span><span style="color: #6c3163; font-weight: bold;">add-dxdx</span> x<span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span>+ x dx dx<span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>* <span style="color: #2d9574;">(</span>+
<span style="color: #67b11d;">(</span>* <span style="color: #4e3163;">4</span> <span style="color: #b1951d;">(</span>sum f <span style="color: #3a81c3;">(</span>+ a dx<span style="color: #3a81c3;">)</span> add-dxdx b<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>* <span style="color: #4e3163;">2</span> <span style="color: #b1951d;">(</span>sum f a add-dxdx b<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>- <span style="color: #b1951d;">(</span>f a<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #67b11d;">(</span>- <span style="color: #b1951d;">(</span>f b<span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span> <span style="color: #2d9574;">(</span>/ dx <span style="color: #4e3163;">3.0</span><span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">cube</span> x<span style="color: #6c3163;">)</span> <span style="color: #6c3163;">(</span>* x x x<span style="color: #6c3163;">)</span><span style="color: #3a81c3;">)</span>
<span style="color: #3a81c3;">(</span>list
<span style="color: #6c3163;">(</span>integral cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.01</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>integral cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.001</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.01</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.001</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #2d9574;">(</span>/ <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">1000</span><span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson-gizmo cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.01</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson-gizmo cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #2d9574;">(</span>/ <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">10000</span><span style="color: #2d9574;">)</span><span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>simpson-gizmo cube <span style="color: #4e3163;">1</span> <span style="color: #4e3163;">2</span> <span style="color: #4e3163;">0.00001</span><span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
</pre>
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<p>
// exercise 1.30
</p>
<div class="org-src-container">
<pre class="src src-scheme"><span style="color: #3a81c3;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #6c3163;">(</span><span style="color: #6c3163; font-weight: bold;">sum-i</span> term a next b<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span><span style="color: #3a81c3; font-weight: bold;">define</span> <span style="color: #2d9574;">(</span><span style="color: #6c3163; font-weight: bold;">iter</span> a result<span style="color: #2d9574;">)</span>
<span style="color: #2d9574;">(</span><span style="color: #3a81c3; font-weight: bold;">if</span> <span style="color: #67b11d;">(</span>&gt; a b<span style="color: #67b11d;">)</span>
result
<span style="color: #67b11d;">(</span>iter <span style="color: #b1951d;">(</span>next a<span style="color: #b1951d;">)</span> <span style="color: #b1951d;">(</span>+ result <span style="color: #3a81c3;">(</span>term a<span style="color: #3a81c3;">)</span><span style="color: #b1951d;">)</span><span style="color: #67b11d;">)</span>
<span style="color: #2d9574;">)</span>
<span style="color: #6c3163;">)</span>
<span style="color: #6c3163;">(</span>iter a <span style="color: #4e3163;">0</span><span style="color: #6c3163;">)</span>
<span style="color: #3a81c3;">)</span>
</pre>
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</div>
</div>
<div id="outline-container-orgb6993b9" class="outline-3">
<h3 id="orgb6993b9"><span class="section-number-3">2.15.</span> 1.3.2 Sestavljanje procedur z Lambda</h3>
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<div id="outline-container-org5ea790c" class="outline-3">
<h3 id="org5ea790c"><span class="section-number-3">2.16.</span> 1.3.3 Procedure kot splosne metode</h3>
</div>
<div id="outline-container-org0a1c5a7" class="outline-3">
<h3 id="org0a1c5a7"><span class="section-number-3">2.17.</span> 1.3.4 Procedure kot vrnjene vrednosti</h3>
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Linkanje liotovih izpiskov.
2024-04-30 19:33:52 +02:00
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