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<ol class="chapter"><li class="chapter-item expanded "><a href="../intro.html"><strong aria-hidden="true">1.</strong> Introduction</a></li><li class="chapter-item expanded "><a href="../idioms/index.html"><strong aria-hidden="true">2.</strong> Idioms</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../idioms/coercion-arguments.html"><strong aria-hidden="true">2.1.</strong> Use borrowed types for arguments</a></li><li class="chapter-item expanded "><a href="../idioms/concat-format.html"><strong aria-hidden="true">2.2.</strong> Concatenating Strings with format!</a></li><li class="chapter-item expanded "><a href="../idioms/ctor.html"><strong aria-hidden="true">2.3.</strong> Constructor</a></li><li class="chapter-item expanded "><a href="../idioms/default.html"><strong aria-hidden="true">2.4.</strong> The Default Trait</a></li><li class="chapter-item expanded "><a href="../idioms/deref.html"><strong aria-hidden="true">2.5.</strong> Collections Are Smart 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Patterns</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../patterns/behavioural/intro.html"><strong aria-hidden="true">3.1.</strong> Behavioural</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../patterns/behavioural/command.html"><strong aria-hidden="true">3.1.1.</strong> Command</a></li><li class="chapter-item expanded "><a href="../patterns/behavioural/interpreter.html"><strong aria-hidden="true">3.1.2.</strong> Interpreter</a></li><li class="chapter-item expanded "><a href="../patterns/behavioural/newtype.html"><strong aria-hidden="true">3.1.3.</strong> Newtype</a></li><li class="chapter-item expanded "><a href="../patterns/behavioural/RAII.html"><strong aria-hidden="true">3.1.4.</strong> RAII Guards</a></li><li class="chapter-item expanded "><a href="../patterns/behavioural/strategy.html"><strong aria-hidden="true">3.1.5.</strong> Strategy</a></li><li class="chapter-item expanded "><a href="../patterns/behavioural/visitor.html"><strong aria-hidden="true">3.1.6.</strong> Visitor</a></li></ol></li><li class="chapter-item expanded "><a href="../patterns/creational/intro.html"><strong aria-hidden="true">3.2.</strong> Creational</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../patterns/creational/builder.html"><strong aria-hidden="true">3.2.1.</strong> Builder</a></li><li class="chapter-item expanded "><a href="../patterns/creational/fold.html"><strong aria-hidden="true">3.2.2.</strong> Fold</a></li></ol></li><li class="chapter-item expanded "><a href="../patterns/structural/intro.html"><strong aria-hidden="true">3.3.</strong> Structural</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../patterns/structural/compose-structs.html"><strong aria-hidden="true">3.3.1.</strong> Compose Structs</a></li><li class="chapter-item expanded "><a href="../patterns/structural/small-crates.html"><strong aria-hidden="true">3.3.2.</strong> Prefer Small Crates</a></li><li class="chapter-item expanded "><a href="../patterns/structural/unsafe-mods.html"><strong aria-hidden="true">3.3.3.</strong> Contain unsafety in small modules</a></li></ol></li><li class="chapter-item expanded "><a href="../patterns/ffi/intro.html"><strong aria-hidden="true">3.4.</strong> Foreign function interface (FFI)</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../patterns/ffi/export.html"><strong aria-hidden="true">3.4.1.</strong> Object-Based APIs</a></li><li class="chapter-item expanded "><a href="../patterns/ffi/wrappers.html"><strong aria-hidden="true">3.4.2.</strong> Type Consolidation into Wrappers</a></li></ol></li></ol></li><li class="chapter-item expanded "><a href="../anti_patterns/index.html"><strong aria-hidden="true">4.</strong> Anti-patterns</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../anti_patterns/borrow_clone.html"><strong aria-hidden="true">4.1.</strong> Clone to satisfy the borrow checker</a></li><li class="chapter-item expanded "><a href="../anti_patterns/deny-warnings.html"><strong aria-hidden="true">4.2.</strong> #[deny(warnings)]</a></li><li class="chapter-item expanded "><a href="../anti_patterns/deref.html"><strong aria-hidden="true">4.3.</strong> Deref Polymorphism</a></li></ol></li><li class="chapter-item expanded "><a href="../functional/index.html"><strong aria-hidden="true">5.</strong> Functional Programming</a></li><li><ol class="section"><li class="chapter-item expanded "><a href="../functional/paradigms.html" class="active"><strong aria-hidden="true">5.1.</strong> Programming paradigms</a></li><li class="chapter-item expanded "><a href="../functional/generics-type-classes.html"><strong aria-hidden="true">5.2.</strong> Generics as Type Classes</a></li></ol></li><li class="chapter-item expanded "><a href="../additional_resources/index.html"><strong aria-hidden="true">6.</strong> Additional 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<h1 id="programming-paradigms"><a class="header" href="#programming-paradigms">Programming paradigms</a></h1>
<p>One of the biggest hurdles to understanding functional programs when coming
from an imperative background is the shift in thinking. Imperative programs
describe <strong>how</strong> to do something, whereas declarative programs describe
<strong>what</strong> to do. Let's sum the numbers from 1 to 10 to show this.</p>
<h2 id="imperative"><a class="header" href="#imperative">Imperative</a></h2>
<pre><pre class="playground"><code class="language-rust edition2018">
<span class="boring">#![allow(unused)]
</span><span class="boring">fn main() {
</span>let mut sum = 0;
for i in 1..11 {
sum += i;
}
println!(&quot;{}&quot;, sum);
<span class="boring">}
</span></code></pre></pre>
<p>With imperative programs, we have to play compiler to see what is happening.
Here, we start with a <code>sum</code> of <code>0</code>.
Next, we iterate through the range from 1 to 10.
Each time through the loop, we add the corresponding value in the range.
Then we print it out.</p>
<table><thead><tr><th align="center"><code>i</code></th><th align="center"><code>sum</code></th></tr></thead><tbody>
<tr><td align="center">1</td><td align="center">1</td></tr>
<tr><td align="center">2</td><td align="center">3</td></tr>
<tr><td align="center">3</td><td align="center">6</td></tr>
<tr><td align="center">4</td><td align="center">10</td></tr>
<tr><td align="center">5</td><td align="center">15</td></tr>
<tr><td align="center">6</td><td align="center">21</td></tr>
<tr><td align="center">7</td><td align="center">28</td></tr>
<tr><td align="center">8</td><td align="center">36</td></tr>
<tr><td align="center">9</td><td align="center">45</td></tr>
<tr><td align="center">10</td><td align="center">55</td></tr>
</tbody></table>
<p>This is how most of us start out programming. We learn that a program is a set
of steps.</p>
<h2 id="declarative"><a class="header" href="#declarative">Declarative</a></h2>
<pre><pre class="playground"><code class="language-rust edition2018">
<span class="boring">#![allow(unused)]
</span><span class="boring">fn main() {
</span>println!(&quot;{}&quot;, (1..11).fold(0, |a, b| a + b));
<span class="boring">}
</span></code></pre></pre>
<p>Whoa! This is really different! What's going on here?
Remember that with declarative programs we are describing <strong>what</strong> to do,
rather than <strong>how</strong> to do it. <code>fold</code> is a function that <a href="https://en.wikipedia.org/wiki/Function_composition">composes</a>
functions. The name is a convention from Haskell.</p>
<p>Here, we are composing functions of addition (this closure: <code>|a, b| a + b</code>)
with a range from 1 to 10. The <code>0</code> is the starting point, so <code>a</code> is <code>0</code> at
first. <code>b</code> is the first element of the range, <code>1</code>. <code>0 + 1 = 1</code> is the result.
So now we <code>fold</code> again, with <code>a = 1</code>, <code>b = 2</code> and so <code>1 + 2 = 3</code> is the next
result. This process continues until we get to the last element in the range,
<code>10</code>.</p>
<table><thead><tr><th align="center"><code>a</code></th><th align="center"><code>b</code></th><th align="center">result</th></tr></thead><tbody>
<tr><td align="center">0</td><td align="center">1</td><td align="center">1</td></tr>
<tr><td align="center">1</td><td align="center">2</td><td align="center">3</td></tr>
<tr><td align="center">3</td><td align="center">3</td><td align="center">6</td></tr>
<tr><td align="center">6</td><td align="center">4</td><td align="center">10</td></tr>
<tr><td align="center">10</td><td align="center">5</td><td align="center">15</td></tr>
<tr><td align="center">15</td><td align="center">6</td><td align="center">21</td></tr>
<tr><td align="center">21</td><td align="center">7</td><td align="center">28</td></tr>
<tr><td align="center">28</td><td align="center">8</td><td align="center">36</td></tr>
<tr><td align="center">36</td><td align="center">9</td><td align="center">45</td></tr>
<tr><td align="center">45</td><td align="center">10</td><td align="center">55</td></tr>
</tbody></table>
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