<div dir="ltr">On Mon, Dec 26, 2016 at 11:43 AM Adam Nemecek via swift-evolution &lt;<a href="mailto:swift-evolution@swift.org">swift-evolution@swift.org</a>&gt; wrote:<br><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr" class="gmail_msg"><div class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg">&gt; </span><span style="font-size:12.8px" class="gmail_msg">For integers, 0 is an additive identity. Is there a reason it should be given special treatment over 1, the multiplicative identity?</span><span style="font-size:12.8px" class="gmail_msg"> </span></div><div class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg"><br class="gmail_msg"></span></div><div class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg">E.g. for statistical reasons. When I have a collection of users with age etc it makes sense to ask what is the combined age of the collection? What is the semantic meaning of multiplying their ages? </span></div></div></blockquote><div><br></div><div>That doesn&#39;t explain why the additive identity is more special than the multiplicative one. It just argues that it&#39;s more convenient for a particular use case.</div><div><br></div><div>I would turn your example around—if you&#39;re interested enough in thorough type design that you feel that a DefaultConstructible protocol would be useful here, then I offer that a better and safer design would be to create an &quot;Age&quot; value type (or, more generally, measurement types with concepts of units) if you want compile-time safety and limiting the supported operations to only those that are sensical. &quot;Int&quot; is arguably too wide a type to represent an age in a public API because it would allow two ages to be multiplied together, as you said.</div><div><br></div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr" class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg"><div class="gmail_msg"><span style="font-size:12.8px">&gt; Mathematically, identities are associated with (type, operation) pairs, not types alone.</span><br></div></span><div class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg"><br class="gmail_msg"></span></div><div class="gmail_msg"><span style="font-size:12.8px" class="gmail_msg">Correct, however we aren&#39;t talking about mathematics, we are talking about the implementation of a language that runs on very concrete architectures where very concrete bit patterns mean very concrete things that are unlikely to change any time soon.</span></div></div></blockquote><div><br></div><div>The all-zero bit pattern represents the integer zero—that&#39;s not the same as whether it represents the best &quot;default&quot; value for an integer as a higher-level concept, or whether such a default should exist in the first place.</div><div> </div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div class="gmail_extra gmail_msg"><br class="gmail_msg"><div class="gmail_quote gmail_msg">On Mon, Dec 26, 2016 at 11:35 AM, Tony Allevato <span dir="ltr" class="gmail_msg">&lt;<a href="mailto:allevato@google.com" class="gmail_msg" target="_blank">allevato@google.com</a>&gt;</span> wrote:<br class="gmail_msg"><blockquote class="gmail_quote gmail_msg" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">For integers, 0 is an additive identity. Is there a reason it should be given special treatment over 1, the multiplicative identity? Historically the only reason is because it has the all-clear bit pattern.<br class="gmail_msg"><br class="gmail_msg">Mathematically, identities are associated with (type, operation) pairs, not types alone.<br class="gmail_msg"><br class="gmail_msg">This conversation has put me in the column of &quot;numeric types shouldn&#39;t have default initializers at all&quot;, personally.<br class="gmail_msg"><div class="gmail_quote gmail_msg"><div class="gmail_msg"><div class="m_2296093129005653840h5 gmail_msg"><div dir="ltr" class="gmail_msg">On Mon, Dec 26, 2016 at 11:27 AM Adam Nemecek via swift-evolution &lt;<a href="mailto:swift-evolution@swift.org" class="gmail_msg" target="_blank">swift-evolution@swift.org</a>&gt; wrote:<br class="gmail_msg"></div></div></div><blockquote class="gmail_quote gmail_msg" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div class="gmail_msg"><div class="m_2296093129005653840h5 gmail_msg"><div dir="ltr" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">The elements already have an Identity, the one that you get when you invoke the default constructor. It&#39;s 0 for Int, &quot;&quot; for String. </div><div class="gmail_extra m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="gmail_quote m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">On Mon, Dec 26, 2016 at 11:24 AM, David Sweeris <span dir="ltr" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">&lt;<a href="mailto:davesweeris@mac.com" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg" target="_blank">davesweeris@mac.com</a>&gt;</span> wrote:<br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><blockquote class="gmail_quote m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="auto" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="m_2296093129005653840m_-5389545831853979663m_7699876098764341631h5 m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">On Dec 26, 2016, at 11:12, Tino Heth via swift-evolution &lt;<a href="mailto:swift-evolution@swift.org" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg" target="_blank">swift-evolution@swift.org</a>&gt; wrote:<br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div><blockquote type="cite" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">There is an older discussion that is somewhat linked to this topic:<div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">&quot;Removing the empty initialiser requirement from RangeReplaceableCollection&quot;<br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><a href="https://lists.swift.org/pipermail/swift-evolution/Week-of-Mon-20160704/023642.html" class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg" target="_blank">https://lists.swift.org/pipermail/swift-evolution/Week-of-Mon-20160704/023642.html</a></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">Imho &quot;DefaultConstructible&quot; types can be very handy, but so far, it seems no one has presented a single use case that is important enough to justify the inclusion in the stdlib.</div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">On the other hand, I&#39;m quite sure that there&#39;s much functionality in the stdlib that many people consider as superfluous…</div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">I guess adding the protocol wouldn&#39;t have a big impact on size, so for for me, the question is &quot;Does this protocol confuse users of Swift?&quot;, which I&#39;d answer with &quot;yes, possibly&quot; (unless someone comes up with a name that is more intuitive).</div></div></blockquote><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">&quot;Identity&quot;, but, at least for many numeric types, you&#39;d need a mechanism for specifying which one you mean.</div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div><div class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg">- Dave Sweeris</div></div></blockquote></div><br class="m_2296093129005653840m_-5389545831853979663gmail_msg gmail_msg"></div></div></div><span class="gmail_msg">
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