<div dir="ltr">Think about what the possible values of "xs" might be, and trace through the next call to "plusplus xs ys".<div><br></div><div>It would help if I didn't name the variables stupidly... here is a slightly better version:</div><div><br></div><div>plusplus [] ys = ys</div><div>plusplus (x:xs) ys = x : plusplus xs ys</div><div><br></div><div>If it helps, try tracing through the steps required to evaluate "plusplus [1, 2] [3, 4]" manually (using a pen and paper, not on the computer)</div></div><div class="gmail_extra"><br><div class="gmail_quote">2015-05-13 15:55 GMT+09:00 Roelof Wobben <span dir="ltr"><<a href="mailto:r.wobben@home.nl" target="_blank">r.wobben@home.nl</a>></span>:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
  
    
  
  <div bgcolor="#FFFFFF" text="#000000">
    <div>Thanks, <br>
      <br>
      So the answer is x and the rest of xs and ys. <br>
      How do x then get added to ys. <br>
      <br>
      Roelof<br>
      <br>
      Daniel P. Wright schreef op 13-5-2015 om 8:52:<br>
    </div><div><div class="h5">
    <blockquote type="cite">
      <div dir="ltr">Ah, that's just a small syntactic issue -- in
        Haskell, operators are infix (go between the arguments) by
        default, but named functions are not.  So you would have to
        write it:
        <div><br>
        </div>
        <div>plusplus [] xs = xs</div>
        <div>plusplus (x:xs) ys = x : plusplus xs ys</div>
        <div><br>
        </div>
      </div>
      <div class="gmail_extra"><br>
        <div class="gmail_quote">2015-05-13 15:39 GMT+09:00 Roelof
          Wobben <span dir="ltr"><<a href="mailto:r.wobben@home.nl" target="_blank">r.wobben@home.nl</a>></span>:<br>
          <blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
            <div bgcolor="#FFFFFF" text="#000000">
              <div>Thanks, <br>
                <br>
                If I re-implement it like this : <br>
                <span> <br>
                  plusplus :: [a] -> [a] -> [a]<br>
                  plusplus [] (xs) = xs <br>
                </span> plusplus (x:xs) yx = x : xs plusplus yx<br>
                 <br>
                main = print $ ["a","b"] plusplus ["c","d"]<br>
                <br>
                <br>
                I see this error appear : <br>
                <br>
                <div>src/Main.hs@3:26-3:40 </div>
                <div><span>Couldn't match expected type ‘([a0] ->
                    [a0] -> [a0]) -> [a] -> [a]’ with actual
                    type </span>
                  <div style="font-size:14px">[<span>a</span>]</div>
                  <span> Relevant bindings include yx :: [a] (bound at
                    /home/app/isolation-runner-work/projects/112825/session.207/src/src/Main.hs:3:17)


                    xs :: [a] (bound at
                    /home/app/isolation-runner-work/projects/112825/session.207/src/src/Main.hs:3:13)


                    x :: a (bound at
                    /home/app/isolation-runner-work/projects/112825/session.207/src/src/Main.hs:3:11)


                    plusplus :: [a] -> [a] -> [a] (bound at
                    /home/app/isolation-runner-work/projects/112825/session.207/src/src/Main.hs:2:1)
The

                    function </span>
                  <div style="font-size:14px"><span>xs</span></div>
                  <span> is applied to two arguments, but its type </span>
                  <div style="font-size:14px">[<span>a</span>]</div>
                  <span> has none</span><span title="Click to show/hide
                    extra information"> …<br>
                    <br>
                    So for me not a aha moment.  I was hoping I would
                    get it <br>
                    <br>
                    Roelof</span><br>
                </div>
                <br>
                Daniel P. Wright schreef op 13-5-2015 om 8:27:<br>
              </div>
              <div>
                <div>
                  <blockquote type="cite">
                    <div dir="ltr">Hi Roelof,
                      <div><br>
                      </div>
                      <div>If you don't consider it cheating (and I
                        suggest you shouldn't, having had a stab at the
                        answers), you will find great enlightenment
                        looking at how these functions are *actually*
                        implemented in the wild.  Did you know that
                        there is a "source" link for each function on
                        Hackage?  By clicking on that, for your first
                        example, you can compare the actual
                        implementation of (++) with your "plusplus"
                        function:</div>
                      <div><br>
                      </div>
                      <div><a href="http://hackage.haskell.org/package/base-4.8.0.0/docs/src/GHC-Base.html#%2B%2B" target="_blank">http://hackage.haskell.org/package/base-4.8.0.0/docs/src/GHC-Base.html#%2B%2B</a><br>
                      </div>
                      <div><br>
                      </div>
                      <div>(By the way, it's that function in particular
                        that gave me one of my first "Aha!" moments in
                        Haskell... it's quite beautiful in its
                        simplicity).</div>
                      <div><br>
                      </div>
                      <div>One thing with viewing the source on Hackage
                        is that sometimes it can be a little more
                        confusing than it needs to be for the sake of
                        efficiency.  A really good source for good,
                        readable examples of Prelude functions in
                        Haskell is the Haskell Report:</div>
                      <div><br>
                      </div>
                      <div><a href="https://www.haskell.org/onlinereport/standard-prelude.html" target="_blank">https://www.haskell.org/onlinereport/standard-prelude.html</a></div>
                      <div><br>
                      </div>
                      <div>(In this case, though, the implementation is
                        the same).</div>
                      <div><br>
                      </div>
                      <div>Having a shot at defining these library
                        functions yourself, as you have done, and then
                        comparing your version with the "official"
                        version in the prelude is a great way to learn
                        good style!</div>
                      <div><br>
                      </div>
                      <div>-Dani. </div>
                    </div>
                    <div class="gmail_extra"><br>
                      <div class="gmail_quote">2015-05-13 15:10
                        GMT+09:00 Roelof Wobben <span dir="ltr"><<a href="mailto:r.wobben@home.nl" target="_blank">r.wobben@home.nl</a>></span>:<br>
                        <blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">Hello,<br>
                          <br>
                          For practising pattern matching and recursion
                          I did recreate some commands of Data,list.<br>
                          <br>
                          My re-implementation of ++ :<br>
                          <br>
                          plusplus :: [a] -> [a] -> [a]<br>
                          plusplus [] [] = [] ;<br>
                          plusplus [] (xs) = xs<br>
                          plusplus (xs) [] = xs<br>
                          plusplus (xs) yx = plusplus' (reverse xs) yx<br>
                          <br>
                          plusplus' :: [a] -> [a] -> [a]<br>
                          plusplus' [] (xs) = xs<br>
                          plusplus' (x:xs) yx = plusplus' xs (x:yx)<br>
                          <br>
                          main = print $ plusplus ["a","b"] ["c","d"]<br>
                          <br>
                          my re-implementation of init :<br>
                          <br>
                          import Data.Maybe<br>
                          <br>
                          -- | The main entry point.<br>
                          init' :: [a] -> Maybe [a]<br>
                          init' [] = Nothing<br>
                          init' [x] = Just []<br>
                          init' (x:xs) = Just (x:fromMaybe xs (init'
                          xs))<br>
                          <br>
                          main = print . init' $ [1,3]<br>
                          <br>
                          <br>
                          my re-implementation of last :<br>
                          <br>
                          -- | The main entry point.<br>
                          last' :: [a] -> Maybe a<br>
                          last' [] = Nothing<br>
                          last' [x] = Just x<br>
                          last' (_:xs) = last' xs<br>
                          <br>
                          main = print . last' $ []<br>
                          <br>
                          Now I wonder if these solutions are the
                          haskell way ? if not so, how can I improve
                          them ,<br>
                          <br>
                          Roelof<br>
                          <br>
                          <br>
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