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	<id>https://wiki.openssl.org/index.php?action=history&amp;feed=atom&amp;title=Multiprecision_arithmetic_internals</id>
	<title>Multiprecision arithmetic internals - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.openssl.org/index.php?action=history&amp;feed=atom&amp;title=Multiprecision_arithmetic_internals"/>
	<link rel="alternate" type="text/html" href="https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;action=history"/>
	<updated>2026-05-12T18:05:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.13</generator>
	<entry>
		<id>https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2824&amp;oldid=prev</id>
		<title>Jflopezfernandez: Added a second broken link note</title>
		<link rel="alternate" type="text/html" href="https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2824&amp;oldid=prev"/>
		<updated>2019-07-29T06:16:45Z</updated>

		<summary type="html">&lt;p&gt;Added a second broken link note&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:16, 29 July 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot; &gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn.html &amp;quot;bn(3) overview&amp;quot;]{{Broken Link}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn.html &amp;quot;bn(3) overview&amp;quot;]{{Broken Link}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn_internal.html &amp;quot;bn_internal(3)&amp;quot;],&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn_internal.html &amp;quot;bn_internal(3)&amp;quot;]&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{Broken Link}}&lt;/ins&gt;,&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;BIGNUM library internal functions &amp;quot;to facilitate debugging and extending the library.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;BIGNUM library internal functions &amp;quot;to facilitate debugging and extending the library.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;They are not to be used by applications.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;They are not to be used by applications.&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jflopezfernandez</name></author>
	</entry>
	<entry>
		<id>https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2822&amp;oldid=prev</id>
		<title>Jflopezfernandez: Added broken link note to bn(3) overview</title>
		<link rel="alternate" type="text/html" href="https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2822&amp;oldid=prev"/>
		<updated>2019-07-29T05:57:34Z</updated>

		<summary type="html">&lt;p&gt;Added broken link note to bn(3) overview&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 05:57, 29 July 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot; &gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn.html &amp;quot;bn(3) overview&amp;quot;]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn.html &amp;quot;bn(3) overview&amp;quot;]&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;{{Broken Link}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn_internal.html &amp;quot;bn_internal(3)&amp;quot;],&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[http://www.openssl.org/docs/crypto/bn_internal.html &amp;quot;bn_internal(3)&amp;quot;],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jflopezfernandez</name></author>
	</entry>
	<entry>
		<id>https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2028&amp;oldid=prev</id>
		<title>DavidCary: rough draft.</title>
		<link rel="alternate" type="text/html" href="https://wiki.openssl.org/index.php?title=Multiprecision_arithmetic_internals&amp;diff=2028&amp;oldid=prev"/>
		<updated>2014-11-09T06:08:03Z</updated>

		<summary type="html">&lt;p&gt;rough draft.&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;OpenSSL includes an implementation of multiprecision arithmetic,&lt;br /&gt;
used for dealing with the large numbers used in public-key cryptography and a few other cryptographic algorithms.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[http://www.openssl.org/docs/crypto/bn.html &amp;quot;bn(3) overview&amp;quot;]&lt;br /&gt;
&lt;br /&gt;
[http://www.openssl.org/docs/crypto/bn_internal.html &amp;quot;bn_internal(3)&amp;quot;],&lt;br /&gt;
BIGNUM library internal functions &amp;quot;to facilitate debugging and extending the library.&lt;br /&gt;
They are not to be used by applications.&amp;quot;&lt;br /&gt;
&lt;br /&gt;
Other popular [http://en.wikipedia.org/wiki/Arbitrary-precision_arithmetic multiprecision libraries and tools] that perhaps might be useful for testing OpenSSL's multiprecision implementation include:&lt;br /&gt;
[http://gmplib.org/ GMP],&lt;br /&gt;
the [http://en.wikipedia.org/wiki/bc_(programming_language) bc programming language],&lt;br /&gt;
etc.&lt;/div&gt;</summary>
		<author><name>DavidCary</name></author>
	</entry>
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