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<h2 class="anchor anchorWithStickyNavbar_LWe7" id="1811-hash">18.1.1 Hash<a href="bi-b-hash-table-concepts.html#1811-hash" class="hash-link" aria-label="Direct link to 18.1.1 Hash" title="Direct link to 18.1.1 Hash">​</a></h2>
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<p>Figure 18–1 lists some <span><i>defined names</i></span> that are applicable to <span><i>hash tables</i></span>. The following rules apply to <span><i>hash tables</i></span>.</p>
<p>– A <span><i>hash table</i></span> can only associate one value with a given key. If an attempt is made to add a second value for a given key, the second value will replace the first. Thus, adding a value to a <span><i>hash table</i></span> is a destructive operation; the <span><i>hash table</i></span> is modified.</p>
<p>– There are four kinds of <span><i>hash tables</i></span>: those whose keys are compared with <span><b>eq</b></span>, those whose keys are compared with <span><b>eql</b></span>, those whose keys are compared with <span><b>equal</b></span>, and those whose keys are compared with <span><b>equalp</b></span>.</p>
<p>– <span><i>Hash tables</i></span> are created by <span><b>make-hash-table</b></span>. <span><b>gethash</b></span> is used to look up a key and find the associated value. New entries are added to <span><i>hash tables</i></span> using <span><b>setf</b></span> with <span><b>gethash</b></span>. <span><b>remhash</b></span> is used to remove an entry. For example:</p>
<div class="language-lisp codeBlockContainer_Ckt0 theme-code-block" style="--prism-color:#393A34;--prism-background-color:#f6f8fa"><div class="codeBlockContent_biex"><pre tabindex="0" class="prism-code language-lisp codeBlock_bY9V thin-scrollbar" style="color:#393A34;background-color:#f6f8fa"><code class="codeBlockLines_e6Vv"><span class="token-line" style="color:#393A34"><span class="token punctuation" style="color:#393A34">(</span><span class="token keyword" style="color:#00009f">setq</span><span class="token plain"> a </span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">make-hash-table</span><span class="token punctuation" style="color:#393A34">)</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → #&lt;HASH-TABLE EQL 0/120 32536573&gt;</span><br></span><span class="token-line" style="color:#393A34"><span class="token plain"></span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">setf</span><span class="token plain"> </span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">gethash</span><span class="token plain"> ’color a</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> ’brown</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → BROWN</span><br></span><span class="token-line" style="color:#393A34"><span class="token plain"></span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">setf</span><span class="token plain"> </span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">gethash</span><span class="token plain"> ’name a</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> ’fred</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → FRED</span><br></span><span class="token-line" style="color:#393A34"><span class="token plain"></span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">gethash</span><span class="token plain"> ’color a</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → BROWN, *true*</span><br></span><span class="token-line" style="color:#393A34"><span class="token plain"></span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">gethash</span><span class="token plain"> ’name a</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → FRED, *true*</span><br></span><span class="token-line" style="color:#393A34"><span class="token plain"></span><span class="token punctuation" style="color:#393A34">(</span><span class="token car">gethash</span><span class="token plain"> ’pointy a</span><span class="token punctuation" style="color:#393A34">)</span><span class="token plain"> → NIL, *false*</span><br></span></code></pre><div class="buttonGroup__atx"><button type="button" aria-label="Copy code to clipboard" title="Copy" class="clean-btn"><span class="copyButtonIcons_eSgA" aria-hidden="true"><svg viewBox="0 0 24 24" class="copyButtonIcon_y97N"><path fill="currentColor" d="M19,21H8V7H19M19,5H8A2,2 0 0,0 6,7V21A2,2 0 0,0 8,23H19A2,2 0 0,0 21,21V7A2,2 0 0,0 19,5M16,1H4A2,2 0 0,0 2,3V17H4V3H16V1Z"></path></svg><svg viewBox="0 0 24 24" class="copyButtonSuccessIcon_LjdS"><path fill="currentColor" d="M21,7L9,19L3.5,13.5L4.91,12.09L9,16.17L19.59,5.59L21,7Z"></path></svg></span></button></div></div></div>
<p>In this example, the symbols color and name are being used as keys, and the symbols brown and fred are being used as the associated values. The <span><i>hash table</i></span> has two items in it, one of which associates from color to brown, and the other of which associates from name to fred.</p>
<p>– A key or a value may be any <span><i>object</i></span>.</p>
<p>– The existence of an entry in the <span><i>hash table</i></span> can be determined from the <span><i>secondary value</i></span> returned by <span><b>gethash</b></span>.</p>
<p>|</p><p><strong>clrhash hash-table-p remhash gethash make-hash-table sxhash</strong> </p>
<p><strong>hash-table-count maphash</strong></p>|<p></p>
<p>| :- |</p>
<p><strong>Figure 18–1. Hash-table defined names</strong></p>
<p>Hash</p>
<h2 class="anchor anchorWithStickyNavbar_LWe7" id="1812-modifying-hash-table-keys">18.1.2 Modifying Hash Table Keys<a href="bi-b-hash-table-concepts.html#1812-modifying-hash-table-keys" class="hash-link" aria-label="Direct link to 18.1.2 Modifying Hash Table Keys" title="Direct link to 18.1.2 Modifying Hash Table Keys">​</a></h2>
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<p>The function supplied as the <!-- -->:test<!-- --> argument to <span><b>make-hash-table</b></span> specifies the ‘equivalence test’ for the <span><i>hash table</i></span> it creates.</p>
<p>An <span><i>object</i></span> is ‘visibly modified’ with regard to an equivalence test if there exists some set of <span><i>objects</i></span> (or potential <span><i>objects</i></span>) which are equivalent to the <span><i>object</i></span> before the modification but are no longer equivalent afterwards.</p>
<p>If an <em>object O</em><sub>1</sub> is used as a key in a <em>hash table H</em> and is then visibly modified with regard to the equivalence test of <em>H</em>, then the consequences are unspecified if <em>O</em><sub>1</sub>, or any <em>object O</em><sub>2</sub> equivalent to <em>O</em><sub>1</sub> under the equivalence test (either before or after the modification), is used as a key in further operations on <em>H</em>. The consequences of using <em>O</em><sub>1</sub> as a key are unspecified even if <em>O</em><sub>1</sub> is visibly</p>
<p>modified and then later modified again in such a way as to undo the visible modification.</p>
<p>Following are specifications of the modifications which are visible to the equivalence tests which must be supported by <span><i>hash tables</i></span>. The modifications are described in terms of modification of components, and are defined recursively. Visible modifications of components of the <span><i>object</i></span> are visible modifications of the <span><i>object</i></span>.</p>
<h3 class="anchor anchorWithStickyNavbar_LWe7" id="18121-visible-modification-of-objects-with-respect-to-eq-and-eql">18.1.2.1 Visible Modification of Objects with respect to EQ and EQL<a href="bi-b-hash-table-concepts.html#18121-visible-modification-of-objects-with-respect-to-eq-and-eql" class="hash-link" aria-label="Direct link to 18.1.2.1 Visible Modification of Objects with respect to EQ and EQL" title="Direct link to 18.1.2.1 Visible Modification of Objects with respect to EQ and EQL">​</a></h3>
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<p>No <em>standardized function</em> is provided that is capable of visibly modifying an <span><i>object</i></span> with regard to <span><b>eq</b></span> or <span><b>eql</b></span>.</p>
<h3 class="anchor anchorWithStickyNavbar_LWe7" id="18122-visible-modification-of-objects-with-respect-to-equal">18.1.2.2 Visible Modification of Objects with respect to EQUAL<a href="bi-b-hash-table-concepts.html#18122-visible-modification-of-objects-with-respect-to-equal" class="hash-link" aria-label="Direct link to 18.1.2.2 Visible Modification of Objects with respect to EQUAL" title="Direct link to 18.1.2.2 Visible Modification of Objects with respect to EQUAL">​</a></h3>
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<p>As a consequence of the behavior for <span><b>equal</b></span>, the rules for visible modification of <span><i>objects</i></span> not explicitly mentioned in this section are inherited from those in Section 18.1.2.1 (Visible Modification of Objects with respect to EQ and EQL).</p>
<h4 class="anchor anchorWithStickyNavbar_LWe7" id="181221-visible-modification-of-conses-with-respect-to-equal">18.1.2.2.1 Visible Modification of Conses with respect to EQUAL<a href="bi-b-hash-table-concepts.html#181221-visible-modification-of-conses-with-respect-to-equal" class="hash-link" aria-label="Direct link to 18.1.2.2.1 Visible Modification of Conses with respect to EQUAL" title="Direct link to 18.1.2.2.1 Visible Modification of Conses with respect to EQUAL">​</a></h4>
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<p>Any visible change to the <span><i>car</i></span> or the <span><i>cdr</i></span> of a <span><i>cons</i></span> is considered a visible modification with regard to <span><b>equal</b></span>.</p>
<h4 class="anchor anchorWithStickyNavbar_LWe7" id="181222-visible-modification-of-bit-vectors-and-strings-with-respect-to-equal">18.1.2.2.2 Visible Modification of Bit Vectors and Strings with respect to EQUAL<a href="bi-b-hash-table-concepts.html#181222-visible-modification-of-bit-vectors-and-strings-with-respect-to-equal" class="hash-link" aria-label="Direct link to 18.1.2.2.2 Visible Modification of Bit Vectors and Strings with respect to EQUAL" title="Direct link to 18.1.2.2.2 Visible Modification of Bit Vectors and Strings with respect to EQUAL">​</a></h4>
<!-- -->
<p>For a <span><i>vector</i></span> of <span><i>type</i></span> <span><b>bit-vector</b></span> or of <span><i>type</i></span> <span><b>string</b></span>, any visible change to an <em>active element</em> of the <span><i>vector</i></span> , or to the <span><i>length</i></span> of the <span><i>vector</i></span> (if it is <span><i>actually adjustable</i></span> or has a <span><i>fill pointer</i></span> ) is considered a visible modification with regard to <span><b>equal</b></span>.</p>
<h3 class="anchor anchorWithStickyNavbar_LWe7" id="18123-visible-modification-of-objects-with-respect-to-equalp">18.1.2.3 Visible Modification of Objects with respect to EQUALP<a href="bi-b-hash-table-concepts.html#18123-visible-modification-of-objects-with-respect-to-equalp" class="hash-link" aria-label="Direct link to 18.1.2.3 Visible Modification of Objects with respect to EQUALP" title="Direct link to 18.1.2.3 Visible Modification of Objects with respect to EQUALP">​</a></h3>
<!-- -->
<p>As a consequence of the behavior for <span><b>equalp</b></span>, the rules for visible modification of <span><i>objects</i></span> not explicitly mentioned in this section are inherited from those in Section 18.1.2.2 (Visible Modification of Objects with respect to EQUAL).</p>
<h4 class="anchor anchorWithStickyNavbar_LWe7" id="181231-visible-modification-of-structures-with-respect-to-equalp">18.1.2.3.1 Visible Modification of Structures with respect to EQUALP<a href="bi-b-hash-table-concepts.html#181231-visible-modification-of-structures-with-respect-to-equalp" class="hash-link" aria-label="Direct link to 18.1.2.3.1 Visible Modification of Structures with respect to EQUALP" title="Direct link to 18.1.2.3.1 Visible Modification of Structures with respect to EQUALP">​</a></h4>
<!-- -->
<p>Any visible change to a <span><i>slot</i></span> of a <span><i>structure</i></span> is considered a visible modification with regard to <span><b>equalp</b></span>.</p>
<h4 class="anchor anchorWithStickyNavbar_LWe7" id="181232-visible-modification-of-arrays-with-respect-to-equalp">18.1.2.3.2 Visible Modification of Arrays with respect to EQUALP<a href="bi-b-hash-table-concepts.html#181232-visible-modification-of-arrays-with-respect-to-equalp" class="hash-link" aria-label="Direct link to 18.1.2.3.2 Visible Modification of Arrays with respect to EQUALP" title="Direct link to 18.1.2.3.2 Visible Modification of Arrays with respect to EQUALP">​</a></h4>
<!-- -->
<p>In an <span><i>array</i></span>, any visible change to an <em>active element</em>, to the <span><i>fill pointer</i></span> (if the <span><i>array</i></span> can and does have one), or to the <span><i>dimensions</i></span> (if the <span><i>array</i></span> is <span><i>actually adjustable</i></span>) is considered a visible modification with regard to <span><b>equalp</b></span>.</p>
<h4 class="anchor anchorWithStickyNavbar_LWe7" id="181233-visible-modification-of-hash-tables-with-respect-to-equalp">18.1.2.3.3 Visible Modification of Hash Tables with respect to EQUALP<a href="bi-b-hash-table-concepts.html#181233-visible-modification-of-hash-tables-with-respect-to-equalp" class="hash-link" aria-label="Direct link to 18.1.2.3.3 Visible Modification of Hash Tables with respect to EQUALP" title="Direct link to 18.1.2.3.3 Visible Modification of Hash Tables with respect to EQUALP">​</a></h4>
<!-- -->
<p>In a <span><i>hash table</i></span>, any visible change to the count of entries in the <span><i>hash table</i></span>, to the keys, or to the values associated with the keys is considered a visible modification with regard to <span><b>equalp</b></span>.</p>
<p>Note that the visibility of modifications to the keys depends on the equivalence test of the <span><i>hash table</i></span>, not on the specification of <span><b>equalp</b></span>.</p>
<h3 class="anchor anchorWithStickyNavbar_LWe7" id="18124-visible-modifications-by-language-extensions">18.1.2.4 Visible Modifications by Language Extensions<a href="bi-b-hash-table-concepts.html#18124-visible-modifications-by-language-extensions" class="hash-link" aria-label="Direct link to 18.1.2.4 Visible Modifications by Language Extensions" title="Direct link to 18.1.2.4 Visible Modifications by Language Extensions">​</a></h3>
<!-- -->
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<p><span><i>Implementations</i></span> that extend the language by providing additional mutator functions (or additional behavior for existing mutator functions) must document how the use of these extensions interacts with equivalence tests and <span><i>hash table</i></span> searches.</p>
<p><span><i>Implementations</i></span> that extend the language by defining additional acceptable equivalence tests for <span><i>hash tables</i></span> (allowing additional values for the <!-- -->:test<!-- --> argument to <span><b>make-hash-table</b></span>) must document the visible components of these tests.</p>
<p>Hash</p></div><footer class="theme-doc-footer docusaurus-mt-lg"><div class="theme-doc-footer-edit-meta-row row"><div class="col"><a href="https://github.com/lisp-docs/cl-language-reference/tree/main/docs/chap-18/bi-b-hash-table-concepts.md" target="_blank" rel="noopener noreferrer" class="theme-edit-this-page"><svg fill="currentColor" height="20" width="20" viewBox="0 0 40 40" class="iconEdit_Z9Sw" aria-hidden="true"><g><path d="m34.5 11.7l-3 3.1-6.3-6.3 3.1-3q0.5-0.5 1.2-0.5t1.1 0.5l3.9 3.9q0.5 0.4 0.5 1.1t-0.5 1.2z m-29.5 17.1l18.4-18.5 6.3 6.3-18.4 18.4h-6.3v-6.2z"></path></g></svg>Edit this page</a></div><div class="col lastUpdated_vwxv"><span class="theme-last-updated">Last updated<!-- --> by <b>daninus14</b></span></div></div></footer></article><nav class="pagination-nav docusaurus-mt-lg" aria-label="Docs pages"><a class="pagination-nav__link pagination-nav__link--prev" href="../chap-17/bh-d-dictionary/subseq_accessor.html"><div class="pagination-nav__sublabel">Previous</div><div class="pagination-nav__label">subseq</div></a><a class="pagination-nav__link pagination-nav__link--next" href="../category/182-hash-tables-dictionary.html"><div class="pagination-nav__sublabel">Next</div><div class="pagination-nav__label">18.2 Hash Tables Dictionary</div></a></nav></div></div><div class="col col--3"><div class="tableOfContents_bqdL thin-scrollbar theme-doc-toc-desktop"><ul class="table-of-contents table-of-contents__left-border"><li><a href="bi-b-hash-table-concepts.html#1811-hash" class="table-of-contents__link toc-highlight">18.1.1 Hash</a></li><li><a href="bi-b-hash-table-concepts.html#1812-modifying-hash-table-keys" class="table-of-contents__link toc-highlight">18.1.2 Modifying Hash Table Keys</a><ul><li><a href="bi-b-hash-table-concepts.html#18121-visible-modification-of-objects-with-respect-to-eq-and-eql" class="table-of-contents__link toc-highlight">18.1.2.1 Visible Modification of Objects with respect to EQ and EQL</a></li><li><a href="bi-b-hash-table-concepts.html#18122-visible-modification-of-objects-with-respect-to-equal" class="table-of-contents__link toc-highlight">18.1.2.2 Visible Modification of Objects with respect to EQUAL</a><ul><li><a href="bi-b-hash-table-concepts.html#181221-visible-modification-of-conses-with-respect-to-equal" class="table-of-contents__link toc-highlight">18.1.2.2.1 Visible Modification of Conses with respect to EQUAL</a></li><li><a href="bi-b-hash-table-concepts.html#181222-visible-modification-of-bit-vectors-and-strings-with-respect-to-equal" class="table-of-contents__link toc-highlight">18.1.2.2.2 Visible Modification of Bit Vectors and Strings with respect to EQUAL</a></li></ul></li><li><a href="bi-b-hash-table-concepts.html#18123-visible-modification-of-objects-with-respect-to-equalp" class="table-of-contents__link toc-highlight">18.1.2.3 Visible Modification of Objects with respect to EQUALP</a><ul><li><a href="bi-b-hash-table-concepts.html#181231-visible-modification-of-structures-with-respect-to-equalp" class="table-of-contents__link toc-highlight">18.1.2.3.1 Visible Modification of Structures with respect to EQUALP</a></li><li><a href="bi-b-hash-table-concepts.html#181232-visible-modification-of-arrays-with-respect-to-equalp" class="table-of-contents__link toc-highlight">18.1.2.3.2 Visible Modification of Arrays with respect to EQUALP</a></li><li><a href="bi-b-hash-table-concepts.html#181233-visible-modification-of-hash-tables-with-respect-to-equalp" class="table-of-contents__link toc-highlight">18.1.2.3.3 Visible Modification of Hash Tables with respect to EQUALP</a></li></ul></li><li><a href="bi-b-hash-table-concepts.html#18124-visible-modifications-by-language-extensions" class="table-of-contents__link toc-highlight">18.1.2.4 Visible Modifications by Language Extensions</a></li></ul></li></ul></div></div></div></div></main></div></div></div><footer class="footer footer--dark"><div class="container container-fluid"><div class="row footer__links"><div class="col footer__col"><div class="footer__title">Docs</div><ul class="footer__items clean-list"><li class="footer__item
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