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HelloHaskell.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>HelloHaskell</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
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<h1 id="하스켈-첫걸음">하스켈 첫걸음<a class="anchor-link" href="#하스켈-첫걸음">¶</a></h1><h2 id="Haskell을-람다식-계산기로-사용해보자">Haskell을 람다식 계산기로 사용해보자<a class="anchor-link" href="#Haskell을-람다식-계산기로-사용해보자">¶</a></h2><p>우선 정수(integer)나 진리값(boolean) 상수 등이 전혀 없는 순수한 람다식으로 조건문과 진리값을 만들어 쓰던 예제를 하스켈 프로그램으로 실행해보자. 함수 적용은 람다계산법의 문법 그대로이고 $(\lambda x.x)$와 같은 함수 정의는 하스켈 코드로는 <code>(\x -> x)</code>로 나타낸다. 즉 람다계산법에서 $\lambda$와 $.$이 하스켈에서는 <code>\</code>와 <code>-></code>에 해당한다.</p>
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<div class=" highlight hl-haskell"><pre><span class="nf">if_then_else</span> <span class="n">c</span> <span class="n">e1</span> <span class="n">e2</span> <span class="ow">=</span> <span class="p">((</span><span class="n">c</span> <span class="n">e1</span><span class="p">)</span> <span class="n">e2</span><span class="p">)</span>
<span class="nf">true</span> <span class="ow">=</span> <span class="p">(</span><span class="nf">\</span><span class="n">x</span> <span class="ow">-></span> <span class="p">(</span><span class="nf">\</span><span class="n">y</span> <span class="ow">-></span> <span class="n">x</span><span class="p">))</span>
<span class="nf">false</span> <span class="ow">=</span> <span class="p">(</span><span class="nf">\</span><span class="n">x</span> <span class="ow">-></span> <span class="p">(</span><span class="nf">\</span> <span class="n">y</span> <span class="ow">-></span> <span class="n">y</span><span class="p">))</span>
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<div class=" highlight hl-haskell"><pre><span class="nf">if_then_else</span> <span class="n">true</span> <span class="mi">1</span> <span class="mi">2</span>
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<div class=" highlight hl-haskell"><pre><span class="nf">if_then_else</span> <span class="n">false</span> <span class="mi">1</span> <span class="mi">2</span>
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<h2 id="Haskell의-문법을-조금-더-알아보자">Haskell의 문법을 조금 더 알아보자<a class="anchor-link" href="#Haskell의-문법을-조금-더-알아보자">¶</a></h2><p>괄호를 쓰지 않더라도 함수 적용은 왼쪽에서부터 묶이며 람다계산법에서의 $\lambda$에 해당하는
<code>\</code>로 정의하는 이름없는 함수는 오른쪽에서부터 묶인다.
그래서 아래와 같이 정의하더라도 위에서 정의한 것과 똑같다.
한줄 주석은 <code>--</code>로 시작하며 여러 줄 주석은 <code>{-</code>로 시작해서 <code>-}</code>로 끝마친다.</p>
<p><code>if_then_else</code>의 경우처럼 함수 이름과 인자들을 <code>=</code> 왼쪽에 쓰고 오른쪽에 계산식을 쓰면 그것이 정의이다. <code>true</code>나 <code>false</code>의 경우처럼 함수 인자 없이 바로 이름만 써서 정의할 수도 있다.</p>
<p>IHaskell 환경에서는 <code>=</code> 없이 계산식만 나오면 계산식을 실행시켜 준다.</p>
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<div class=" highlight hl-haskell"><pre><span class="nf">if_then_else</span> <span class="n">c</span> <span class="n">e1</span> <span class="n">e2</span> <span class="ow">=</span> <span class="n">c</span> <span class="n">e1</span> <span class="n">e2</span> <span class="c1">-- ((c e1) e2) 와 같다</span>
<span class="nf">true</span> <span class="ow">=</span> <span class="nf">\</span><span class="n">x</span> <span class="ow">-></span> <span class="nf">\</span><span class="n">y</span> <span class="ow">-></span> <span class="n">x</span> <span class="c1">-- (\x -> (\y -> x)) 와 같다</span>
<span class="nf">false</span> <span class="ow">=</span> <span class="nf">\</span><span class="n">x</span> <span class="ow">-></span> <span class="nf">\</span><span class="n">y</span> <span class="ow">-></span> <span class="n">y</span> <span class="c1">-- (\x -> (\y -> y)) 와 같다</span>
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<div class=" highlight hl-haskell"><pre><span class="cm">{- 한번에 여러 개의 계산식을 실행해 보려면</span>
<span class="cm"> 아래와 같이 여러 줄에 써주면 한줄씩 처리한다.</span>
<span class="cm"> 자 이것이 여러 줄을 주석처리하는 방법이다! -}</span>
<span class="nf">if_then_else</span> <span class="n">true</span> <span class="mi">1</span> <span class="mi">2</span>
<span class="nf">if_then_else</span> <span class="n">false</span> <span class="mi">1</span> <span class="mi">2</span>
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<p>인자가 여러 개인 이름없는 함수를 정의할 때 여러 번 <code>\</code>를 쓰는 것이 번거로우므로 더욱 줄여 다음과 같이 써도 된다.</p>
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<div class=" highlight hl-haskell"><pre><span class="nf">true</span> <span class="ow">=</span> <span class="nf">\</span><span class="n">x</span> <span class="n">y</span> <span class="ow">-></span> <span class="n">x</span> <span class="c1">-- \x -> \y -> x 와 같다</span>
<span class="nf">false</span> <span class="ow">=</span> <span class="nf">\</span><span class="n">x</span> <span class="n">y</span> <span class="ow">-></span> <span class="n">y</span> <span class="c1">-- \x -> \y -> y 와 같다</span>
<span class="c1">-- 이렇게 정의와 계산식을 하나의 셀에 같이 포함해도 된다 </span>
<span class="nf">if_then_else</span> <span class="n">true</span> <span class="mi">1</span> <span class="mi">2</span>
<span class="nf">if_then_else</span> <span class="n">false</span> <span class="mi">1</span> <span class="mi">2</span>
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<p>위의 <code>if_then_else</code>도 함수 이름 다음에 인자를 써주는 대신에 람다식의 형태로도 정의할 수도 있으며 반대로 람다식으로 정의된 <code>true</code>와 <code>false</code>도 <code>=</code>왼쪽으로 인자를 넘겨서 정의할 수 있다.</p>
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<div class=" highlight hl-haskell"><pre><span class="nf">if_then_else</span> <span class="ow">=</span> <span class="nf">\</span><span class="n">c</span> <span class="n">e1</span> <span class="n">e2</span> <span class="ow">-></span> <span class="n">c</span> <span class="n">e1</span> <span class="n">e2</span>
<span class="nf">true</span> <span class="n">x</span> <span class="n">y</span> <span class="ow">=</span> <span class="n">x</span>
<span class="nf">false</span> <span class="n">x</span> <span class="n">y</span> <span class="ow">=</span> <span class="n">y</span>
<span class="nf">if_then_else</span> <span class="n">true</span> <span class="mi">1</span> <span class="mi">2</span>
<span class="nf">if_then_else</span> <span class="n">false</span> <span class="mi">1</span> <span class="mi">2</span>
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<p>위의 예제는 하스켈을 람다식 계산기로 활용할 수 있다는 것을 보여주기 위한 것이고
실제로 프로그램을 작성할 때 자주 쓰는 조건문과 진리값은
하스켈에서 이미 기본적으로 제공하고 있다.</p>
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<div class=" highlight hl-haskell"><pre><span class="kr">if</span> <span class="kt">True</span> <span class="kr">then</span> <span class="mi">1</span> <span class="kr">else</span> <span class="mi">2</span>
<span class="kr">if</span> <span class="kt">False</span> <span class="kr">then</span> <span class="mi">1</span> <span class="kr">else</span> <span class="mi">2</span>
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<p>하스켈 컴파일러에 어떤 정보를 문의해 알아본다거나 설정값을 바꾸거나 하는 등의
특별한 명령들은 <code>:</code>로 시작한다.
예를 들면 다음과 같이 <code>:type</code>이라는 명령으로 어떤 계산식의 타입이 무엇인지
하스켈 컴파일러에게 물어볼 수 있다.</p>
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<div class=" highlight hl-haskell"><pre><span class="kt">:</span><span class="kr">type</span> <span class="kt">True</span>
<span class="kt">:</span><span class="kr">type</span> <span class="kt">False</span>
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</style><span class='get-type'>True :: Bool</span>
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</style><span class='get-type'>False :: Bool</span>
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<p>진리값 상수인 <code>True</code>와 <code>False</code>의 타입은 <code>Bool</code>이라는 것을 알 수 있다. <code>::</code> 기호는 오른쪽의 계산식이 왼쪽에 있는 타입을 갖는다는 의미이다. 여태까지 타입을 하나도 적어주지 않아서 하스켈이 마치 Python이나 JavaScript 등의 동적 스크립트 언어와 같이 타입에 별로 신경쓰지 않는 언어로 오해했을 수도 있는데, 하스켈은 처음 설계할 때부터 정적으로 (즉, 프로그램 실행 전에) 엄격하게 타입을 검사하는 언어이다. 다만 타입을 프로그래머가 직접 적어주지 않더라도 알아서 유추하는 타입 유추 기능이 강력하기 때문에 여태까지의 프로그램에서는 타입을 전혀 표시하지 않아도 되었던 것 뿐이다. 방금 소개한 <code>if ... then ... else</code>문도 타입을 엄격하게 검사하기 때문에 <code>then</code>과 <code>else</code>다음에 오는 식의 타입이 일치하지 않으면 다음과 같이 타입 오류가 발생한다.</p>
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<div class=" highlight hl-haskell"><pre><span class="kr">if</span> <span class="kt">True</span> <span class="kr">then</span> <span class="s">"hello"</span> <span class="kr">else</span> <span class="p">(</span><span class="nf">\</span><span class="n">x</span> <span class="n">y</span> <span class="ow">-></span> <span class="n">y</span><span class="p">)</span>
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</style><span class='err-msg'>Couldn't match expected type `t0 -> t1 -> t1' with actual type `String'<br/>The lambda expression `\ x y -> y' has two arguments,<br/>but its type `String' has none<br/>In the expression: (\ x y -> y)<br/>In the expression: if True then "hello" else (\ x y -> y)</span>
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<p>위 오류 메시지는 대략 then 다음에 오는 <code>"hello"</code>가 문자열 타입(<code>String</code>)이므로 else 다음에 오는 식도 문자열이어야 하는데 <code>(\x y -> y)</code>는 인자를 두 개 받는 함수 타입(<code>t0 -> t1 -> t1</code>)이라서 문자열 타입(<code>String</code>)과 맞아떨어지지 않는다는 뜻이다.</p>
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<p>수의 사칙연산 등도 물론 지원한다.</p>
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<div class=" highlight hl-haskell"><pre><span class="mi">2</span> <span class="o">+</span> <span class="mi">3</span> <span class="c1">-- 덧셈</span>
<span class="mi">2</span> <span class="o">-</span> <span class="mi">3</span> <span class="c1">-- 뺄셈</span>
<span class="mi">2</span> <span class="o">*</span> <span class="mi">3</span> <span class="c1">-- 곱셈</span>
<span class="mi">2</span> <span class="o">/</span> <span class="mi">3</span> <span class="c1">-- 소수 나눗셈</span>
<span class="mi">2</span> <span class="p">`</span><span class="n">div</span><span class="p">`</span> <span class="mi">3</span> <span class="c1">-- 정수 나눗셈</span>
<span class="mi">2</span> <span class="p">`</span><span class="n">rem</span><span class="p">`</span> <span class="mi">3</span> <span class="c1">-- 정수 나머지</span>
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<pre>5</pre>
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<pre>-1</pre>
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<pre>6</pre>
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<pre>0.6666666666666666</pre>
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<pre>0</pre>
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<pre>2</pre>
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<p>하스켈에서 수와 관련된 타입은 약간 복잡한 나름 이유가 있는 사정이 있다. 일단 이 과목에서 Haskell을 활용하기 시작할 때는 굳이 그것까지 알아야 할 필요는 없지만 그래도 궁금한 사람들은 아래를 실행해 보고 이게 무엇을 뜻하는지 하스켈 관련 책이나 자료를 스스로 찾아보거나 찾아봐도 잘 이해가 안되면 개인적으로 문의하시길. 나중에 관련된 사항에 대해서 한번 정리해서 설명할 예정이다.</p>
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<div class=" highlight hl-haskell"><pre><span class="kt">:</span><span class="kr">type</span> <span class="p">(</span><span class="o">+</span><span class="p">)</span>
<span class="kt">:</span><span class="kr">type</span> <span class="p">(</span><span class="o">-</span><span class="p">)</span>
<span class="kt">:</span><span class="kr">type</span> <span class="p">(</span><span class="o">*</span><span class="p">)</span>
<span class="kt">:</span><span class="kr">type</span> <span class="p">(</span><span class="o">/</span><span class="p">)</span>
<span class="kt">:</span><span class="kr">type</span> <span class="n">div</span>
<span class="kt">:</span><span class="kr">type</span> <span class="n">rem</span>
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