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    <description>This file is an XML representation of an issue</description>
    <language>en-us</language>    <build-info>
        <version>9.7.1</version>
        <build-number>970001</build-number>
        <build-date>13-04-2023</build-date>
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<item>
            <title>[SERVER-20975] Aggregation $sum has some odd rounding erorrs.</title>
                <link>https://jira.mongodb.org/browse/SERVER-20975</link>
                <project id="10000" key="SERVER">Core Server</project>
                    <description>&lt;p&gt;If I use $sum to add some simple floating point numbers together in MongoDB 2.6 or 3.2 I see really odd rounding.&lt;/p&gt;

&lt;p/&gt;
&lt;div id=&quot;syntaxplugin&quot; class=&quot;syntaxplugin&quot; style=&quot;border: 1px dashed #bbb; border-radius: 5px !important; overflow: auto; max-height: 30em;&quot;&gt;
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					&lt;pre style=&quot;font-size: 1em; margin: 0 10px;   width: auto; padding: 0;&quot;&gt;&lt;span style=&quot;color: black; font-family: &apos;Consolas&apos;, &apos;Bitstream Vera Sans Mono&apos;, &apos;Courier New&apos;, Courier, monospace !important;&quot;&gt;db.b.insert({a:0.1})&lt;/span&gt;&lt;/pre&gt;
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					&lt;pre style=&quot;font-size: 1em; margin: 0 10px;   width: auto; padding: 0;&quot;&gt;&lt;span style=&quot;color: black; font-family: &apos;Consolas&apos;, &apos;Bitstream Vera Sans Mono&apos;, &apos;Courier New&apos;, Courier, monospace !important;&quot;&gt;db.b.aggregate({$group:{_id:true,t:{$sum:&quot;$a&quot;}}})&lt;/span&gt;&lt;/pre&gt;
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					&lt;pre style=&quot;font-size: 1em; margin: 0 10px;   margin-bottom: 10px;  width: auto; padding: 0;&quot;&gt;&lt;span style=&quot;color: black; font-family: &apos;Consolas&apos;, &apos;Bitstream Vera Sans Mono&apos;, &apos;Courier New&apos;, Courier, monospace !important;&quot;&gt;{ &quot;_id&quot; : true, &quot;t&quot; : 1.2000000000000002 }&lt;/span&gt;&lt;/pre&gt;
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&lt;p/&gt;

&lt;p&gt;Same applies to 3.3 + 3.9 = 7.199999999999999 &lt;/p&gt;


</description>
                <environment></environment>
        <key id="234787">SERVER-20975</key>
            <summary>Aggregation $sum has some odd rounding erorrs.</summary>
                <type id="1" iconUrl="https://jira.mongodb.org/secure/viewavatar?size=xsmall&amp;avatarId=14703&amp;avatarType=issuetype">Bug</type>
                                            <priority id="3" iconUrl="https://jira.mongodb.org/images/icons/priorities/major.svg">Major - P3</priority>
                        <status id="6" iconUrl="https://jira.mongodb.org/images/icons/statuses/closed.png" description="The issue is considered finished, the resolution is correct. Issues which are closed can be reopened.">Closed</status>
                    <statusCategory id="3" key="done" colorName="success"/>
                                    <resolution id="9">Done</resolution>
                                        <assignee username="-1">Unassigned</assignee>
                                    <reporter username="john.page@mongodb.com">John Page</reporter>
                        <labels>
                    </labels>
                <created>Fri, 16 Oct 2015 16:50:37 +0000</created>
                <updated>Sat, 17 Oct 2015 03:19:01 +0000</updated>
                            <resolved>Fri, 16 Oct 2015 17:28:07 +0000</resolved>
                                    <version>2.6.10</version>
                    <version>3.2.0-rc0</version>
                                                    <component>Aggregation Framework</component>
                                        <votes>0</votes>
                                    <watches>8</watches>
                                                                                                                <comments>
                            <comment id="1063044" author="charlie.swanson" created="Fri, 16 Oct 2015 17:28:07 +0000"  >&lt;p&gt;I don&apos;t think there&apos;s anything reasonable we can do about this. In the future, the new Decimal data type could be used if you wanted to represent decimals precisely.&lt;/p&gt;</comment>
                            <comment id="1063020" author="adam.midvidy" created="Fri, 16 Oct 2015 17:03:22 +0000"  >&lt;p&gt;This seems like expected IEEE-754 behavior: e.g. 3.3 + 3.9 will give you 7.19999999999 ... in Python or any other environment that uses binary floats. &lt;/p&gt;</comment>
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&lt;div id=&quot;syntaxplugin&quot; class=&quot;syntaxplugin&quot; style=&quot;border: 1px dashed #bbb; border-radius: 5px !important; overflow: auto; max-height: 30em;&quot;&gt;
&lt;table cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; border=&quot;0&quot; width=&quot;100%&quot; style=&quot;font-size: 1em; line-height: 1.4em !important; font-weight: normal; font-style: normal; color: black;&quot;&gt;
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					&lt;pre style=&quot;font-size: 1em; margin: 0 10px;  margin-top: 10px;   width: auto; padding: 0;&quot;&gt;&lt;span style=&quot;color: black; font-family: &apos;Consolas&apos;, &apos;Bitstream Vera Sans Mono&apos;, &apos;Courier New&apos;, Courier, monospace !important;&quot;&gt;db.b.insert({a:1.1})&lt;/span&gt;&lt;/pre&gt;
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						&lt;td  style=&quot; line-height: 1.4em !important; padding: 0em; vertical-align: top;&quot;&gt;
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