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<a href="./Home">MLton 20180207</a>\r
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<div id="header">\r
<h1>TipsForWritingConciseSML</h1>\r
</div>\r
<div id="content">\r
<div id="preamble">\r
<div class="sectionbody">\r
<div class="paragraph"><p>SML is a rich enough language that there are often several ways to\r
express things.  This page contains miscellaneous tips (ideas not\r
rules) for writing concise SML.  The metric that we are interested in\r
here is the number of tokens or words (rather than the number of\r
lines, for example).</p></div>\r
</div>\r
</div>\r
<div class="sect1">\r
<h2 id="_datatypes_in_signatures">Datatypes in Signatures</h2>\r
<div class="sectionbody">\r
<div class="paragraph"><p>A seemingly frequent source of repetition in SML is that of datatype\r
definitions in signatures and structures.  Actually, it isn&#8217;t\r
repetition at all.  A datatype specification in a signature, such as,</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">signature</span><span class="w"> </span><span class="n">EXP</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">sig</span><span class="w"></span>\r
<span class="w">   </span><span class="k">datatype</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">Fn</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">App</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">Var</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>is just a specification of a datatype that may be matched by multiple\r
(albeit identical) datatype declarations.  For example, in</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">structure</span><span class="w"> </span><span class="n">AnExp</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">EXP</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">struct</span><span class="w"></span>\r
<span class="w">   </span><span class="k">datatype</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">Fn</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">App</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">Var</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
\r
<span class="k">structure</span><span class="w"> </span><span class="n">AnotherExp</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">EXP</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">struct</span><span class="w"></span>\r
<span class="w">   </span><span class="k">datatype</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">Fn</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">App</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">Var</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>the types <span class="monospaced">AnExp.exp</span> and <span class="monospaced">AnotherExp.exp</span> are two distinct types.  If\r
such <a href="GenerativeDatatype">generativity</a> isn&#8217;t desired or needed, you\r
can avoid the repetition:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">structure</span><span class="w"> </span><span class="n">Exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">struct</span><span class="w"></span>\r
<span class="w">   </span><span class="k">datatype</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">Fn</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">App</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">Var</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">id</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
\r
<span class="k">signature</span><span class="w"> </span><span class="n">EXP</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">sig</span><span class="w"></span>\r
<span class="w">   </span><span class="k">datatype</span><span class="w"> </span><span class="n">exp</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">datatype</span><span class="w"> </span><span class="n">Exp</span><span class="p">.</span><span class="n">exp</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
\r
<span class="k">structure</span><span class="w"> </span><span class="n">Exp</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">EXP</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">struct</span><span class="w"></span>\r
<span class="w">   </span><span class="k">open</span><span class="w"> </span><span class="n">Exp</span><span class="w"></span>\r
<span class="k">end</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>Keep in mind that this isn&#8217;t semantically equivalent to the original.</p></div>\r
</div>\r
</div>\r
<div class="sect1">\r
<h2 id="_clausal_function_definitions">Clausal Function Definitions</h2>\r
<div class="sectionbody">\r
<div class="paragraph"><p>The syntax of clausal function definitions is rather repetitive.  For\r
example,</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">fun</span><span class="w"> </span><span class="n">isSome</span><span class="w"> </span><span class="n">NONE</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">false</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">isSome</span><span class="w"> </span><span class="p">(</span><span class="n">SOME</span><span class="w"> </span><span class="p">_)</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">true</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>is more verbose than</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">val</span><span class="w"> </span><span class="n">isSome</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r
<span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">NONE</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">false</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">SOME</span><span class="w"> </span><span class="p">_</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">true</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>For recursive functions the break-even point is one clause higher.  For example,</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">fun</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">0</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">1</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="p">(</span><span class="n">n-</span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="n">+</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="p">(</span><span class="n">n-</span><span class="mi">2</span><span class="p">)</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>isn&#8217;t less verbose than</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">val</span><span class="w"> </span><span class="k">rec</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r
<span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="mi">0</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="mi">1</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="p">(</span><span class="n">n-</span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="n">+</span><span class="w"> </span><span class="n">fib</span><span class="w"> </span><span class="p">(</span><span class="n">n-</span><span class="mi">2</span><span class="p">)</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>It is quite often the case that a curried function primarily examines\r
just one of its arguments.  Such functions can be written particularly\r
concisely by making the examined argument last.  For example, instead\r
of</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">fun</span><span class="w"> </span><span class="n">eval</span><span class="w"> </span><span class="p">(</span><span class="n">Fn</span><span class="w"> </span><span class="p">(</span><span class="n">v</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">))</span><span class="w"> </span><span class="n">env</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">eval</span><span class="w"> </span><span class="p">(</span><span class="n">App</span><span class="w"> </span><span class="p">(</span><span class="n">f</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="p">)</span><span class="w"> </span><span class="n">env</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">eval</span><span class="w"> </span><span class="p">(</span><span class="n">Var</span><span class="w"> </span><span class="n">v</span><span class="p">)</span><span class="w"> </span><span class="n">env</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>consider writing</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">fun</span><span class="w"> </span><span class="n">eval</span><span class="w"> </span><span class="n">env</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r
<span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">Fn</span><span class="w"> </span><span class="p">(</span><span class="n">v</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">)</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">App</span><span class="w"> </span><span class="p">(</span><span class="n">f</span><span class="p">,</span><span class="w"> </span><span class="n">a</span><span class="p">)</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w">  </span><span class="p">|</span><span class="w"> </span><span class="n">Var</span><span class="w"> </span><span class="n">v</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
</div>\r
</div>\r
<div class="sect1">\r
<h2 id="_parentheses">Parentheses</h2>\r
<div class="sectionbody">\r
<div class="paragraph"><p>It is a good idea to avoid using lots of irritating superfluous\r
parentheses.  An important rule to know is that prefix function\r
application in SML has higher precedence than any infix operator.  For\r
example, the outer parentheses in</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="p">(</span><span class="n">square</span><span class="w"> </span><span class="p">(</span><span class="mi">5</span><span class="w"> </span><span class="n">+</span><span class="w"> </span><span class="mi">1</span><span class="p">))</span><span class="w"> </span><span class="n">+</span><span class="w"> </span><span class="p">(</span><span class="n">square</span><span class="w"> </span><span class="p">(</span><span class="mi">5</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="mi">2</span><span class="p">))</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>are superfluous.</p></div>\r
<div class="paragraph"><p>People trained in other languages often use superfluous parentheses in\r
a number of places.  In particular, the parentheses in the following\r
examples are practically always superfluous and are best avoided:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">condition</span><span class="p">)</span><span class="w"> </span><span class="k">then</span><span class="w"> </span><span class="p">...</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">condition</span><span class="p">)</span><span class="w"> </span><span class="k">do</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>The same basically applies to case expressions:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">case</span><span class="w"> </span><span class="p">(</span><span class="n">expression</span><span class="p">)</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>It is not uncommon to match a tuple of two or more values:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">case</span><span class="w"> </span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">)</span><span class="w"> </span><span class="k">of</span><span class="w"></span>\r
<span class="w">   </span><span class="p">(</span><span class="n">A1</span><span class="p">,</span><span class="w"> </span><span class="n">B1</span><span class="p">)</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="p">(</span><span class="n">A2</span><span class="p">,</span><span class="w"> </span><span class="n">B2</span><span class="p">)</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>Such case expressions can be written more concisely with an\r
<a href="ProductType">infix product constructor</a>:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">case</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="n">&amp;</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="k">of</span><span class="w"></span>\r
<span class="w">   </span><span class="n">A1</span><span class="w"> </span><span class="n">&amp;</span><span class="w"> </span><span class="n">B1</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">A2</span><span class="w"> </span><span class="n">&amp;</span><span class="w"> </span><span class="n">B2</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
</div>\r
</div>\r
<div class="sect1">\r
<h2 id="_conditionals">Conditionals</h2>\r
<div class="sectionbody">\r
<div class="paragraph"><p>Repeated sequences of conditionals such as</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">if</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n">&lt;</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="k">then</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="k">else</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="k">then</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="k">else</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>can often be written more concisely as case expressions such as</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">case</span><span class="w"> </span><span class="n">Int</span><span class="p">.</span><span class="n">compare</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"> </span><span class="k">of</span><span class="w"></span>\r
<span class="w">   </span><span class="n">LESS</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">EQUAL</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">GREATER</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>For a custom comparison, you would then define an appropriate datatype\r
and a reification function.  An alternative to using datatypes is to\r
use dispatch functions</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="n">comparing</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"></span>\r
<span class="p">{</span><span class="n">lt</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="p">()</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...,</span><span class="w"></span>\r
<span class="w"> </span><span class="n">eq</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="p">()</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...,</span><span class="w"></span>\r
<span class="w"> </span><span class="n">gt</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="p">()</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...}</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>where</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">fun</span><span class="w"> </span><span class="n">comparing</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="n">lt</span><span class="p">,</span><span class="w"> </span><span class="n">eq</span><span class="p">,</span><span class="w"> </span><span class="n">gt</span><span class="p">}</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r
<span class="w">    </span><span class="p">(</span><span class="k">case</span><span class="w"> </span><span class="n">Int</span><span class="p">.</span><span class="n">compare</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"> </span><span class="k">of</span><span class="w"></span>\r
<span class="w">        </span><span class="n">LESS</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">lt</span><span class="w"></span>\r
<span class="w">      </span><span class="p">|</span><span class="w"> </span><span class="n">EQUAL</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">eq</span><span class="w"></span>\r
<span class="w">      </span><span class="p">|</span><span class="w"> </span><span class="n">GREATER</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="n">gt</span><span class="p">)</span><span class="w"> </span><span class="p">()</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>An advantage is that no datatype definition is needed.  A disadvantage\r
is that you can&#8217;t combine multiple dispatch results easily.</p></div>\r
</div>\r
</div>\r
<div class="sect1">\r
<h2 id="_command_query_fusion">Command-Query Fusion</h2>\r
<div class="sectionbody">\r
<div class="paragraph"><p>Many are familiar with the\r
<a href="http://en.wikipedia.org/wiki/Command-Query_Separation">Command-Query\r
Separation Principle</a>.  Adhering to the principle, a signature for an\r
imperative stack might contain specifications</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">val</span><span class="w"> </span><span class="n">isEmpty</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">&#39;a</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="n">bool</span><span class="w"></span>\r
<span class="k">val</span><span class="w"> </span><span class="n">pop</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">&#39;a</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="n">&#39;a</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>and use of a stack would look like</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">if</span><span class="w"> </span><span class="n">isEmpty</span><span class="w"> </span><span class="n">stack</span><span class="w"></span>\r
<span class="k">then</span><span class="w"> </span><span class="p">...</span><span class="w"> </span><span class="n">pop</span><span class="w"> </span><span class="n">stack</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="k">else</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>or, when the element needs to be named,</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">if</span><span class="w"> </span><span class="n">isEmpty</span><span class="w"> </span><span class="n">stack</span><span class="w"></span>\r
<span class="k">then</span><span class="w"> </span><span class="k">let</span><span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">elem</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">pop</span><span class="w"> </span><span class="n">stack</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="p">...</span><span class="w"> </span><span class="k">end</span><span class="w"></span>\r
<span class="k">else</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>For efficiency, correctness, and conciseness, it is often better to\r
combine the query and command and return the result as an option:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">val</span><span class="w"> </span><span class="n">pop</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">&#39;a</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="n">&#39;a</span><span class="w"> </span><span class="n">option</span><span class="w"></span>\r
</pre></div></div></div>\r
<div class="paragraph"><p>A use of a stack would then look like this:</p></div>\r
<div class="listingblock">\r
<div class="content"><div class="highlight"><pre><span class="k">case</span><span class="w"> </span><span class="n">pop</span><span class="w"> </span><span class="n">stack</span><span class="w"> </span><span class="k">of</span><span class="w"></span>\r
<span class="w">   </span><span class="n">NONE</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
<span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">SOME</span><span class="w"> </span><span class="n">elem</span><span class="w"> </span><span class="p">=&gt;</span><span class="w"> </span><span class="p">...</span><span class="w"></span>\r
</pre></div></div></div>\r
</div>\r
</div>\r
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