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<!DOCTYPE html><html lang='en'><head><title>[defs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='abbr_ref' href='index.html#defs'>[defs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L50'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':definitions'></a>For the purposes of this document,
<!DOCTYPE html><html lang='en'><head><title>[defs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='abbr_ref' href='index.html#defs'>[defs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L50'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':definitions'></a>For the purposes of this document,
the terms and definitions given in
IEC 60050-102:2007/AMD3:2021,
IEC 60050-112:2010/AMD2:2020,
ISO 80000-2:2019,
and
N4971,
and the following apply<a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L61'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases
and the following apply<a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L61'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases
for use in standardization
at the following addresses:
<ul class='itemize'><li id='2.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.1'>(2.1)</a></div>ISO Online browsing platform: available at <a href='https://www.iso.org/obp'>https://www.iso.org/obp</a></li><li id='2.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#2.2'>(2.2)</a></div>IEC Electropedia: available at <a href='http://www.electropedia.org'>http://www.electropedia.org</a></li></ul>

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<!DOCTYPE html><html lang='en'><head><title>[qty.helpers]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref'>[qty.helpers]</a></h2><div class='texpara'><div class='itemdecl' id='itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#itemdecl:1'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>consteval</span> <span class='keyword'>bool</span> <span class='texttt'><i >converts-to-base-subobject-of</i></span><span class='parenthesis'>(</span>std<span class='operator'>::</span>meta type, std<span class='operator'>::</span>meta template_name<span class='parenthesis'>)</span>;
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Preconditions</i>: <span class='texttt'>is_<span class='shy'></span>type<span class='parenthesis'>(</span>type<span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> is_<span class='shy'></span>template<span class='parenthesis'>(</span>template_<span class='shy'></span>name<span class='parenthesis'>)</span></span> is <span class='texttt'><span class='literal'>true</span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'><i >Returns</i>: <span class='texttt'><span class='literal'>true</span></span> if
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Preconditions</i>: <span class='texttt'>is_<span class='shy'></span>type<span class='parenthesis'>(</span>type<span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> is_<span class='shy'></span>template<span class='parenthesis'>(</span>template_<span class='shy'></span>name<span class='parenthesis'>)</span></span> is <span class='texttt'><span class='literal'>true</span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'><i >Returns</i>: <span class='texttt'><span class='literal'>true</span></span> if
<span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>type<span class='operator'>:</span><span class='squarebracket'>]</span></span> has an unambiguous and accessible base
that is a specialization of <span class='texttt'><span class='squarebracket'>[</span><span class='operator'>:</span>template_<span class='shy'></span>name<span class='operator'>:</span><span class='squarebracket'>]</span></span>, and
<span class='texttt'><span class='literal'>false</span></span> otherwise<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></div></body></html>

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<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> Rep<span class='anglebracket'>&gt;</span>
<span class='keyword'>constexpr</span> <span class='keyword'>bool</span> <span id='lib:is_tensor'><a class='hidden_link' href='#lib:is_tensor' title='5.6&emsp;Traits&emsp;[qty.traits]'>is_tensor</a></span> <span class='operator'>=</span> <span class='literal'>false</span>;
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Remarks</i>: Pursuant to <a href="https://wg21.link/namespace.std">N4971, [namespace.std]</a> (<a href='spec.ext.html' title='4.1&emsp;External'>[spec.<span class='shy'></span>ext]</a>),
</code></div></div><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><i >Remarks</i>: Pursuant to <a href="https://wg21.link/namespace.std">N4971, [namespace.std]</a> (<a href='spec.ext.html' title='4.1&emsp;External'>[spec.<span class='shy'></span>ext]</a>),
users may specialize <span class='texttt'>is_<span class='shy'></span>scalar</span>, <span class='texttt'>is_<span class='shy'></span>vector</span>, and <span class='texttt'>is_<span class='shy'></span>tensor</span> to <span class='texttt'><span class='literal'>true</span></span>
for cv-unqualified program-defined types
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<!DOCTYPE html><html lang='en'><head><title>[qty.types.general]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html#general'>[qty.types]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref'>[qty.types.general]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
<!DOCTYPE html><html lang='en'><head><title>[qty.types.general]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html#general'>[qty.types]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref'>[qty.types.general]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
is a type <span class='texttt'><i >Q</i></span>
that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>)
with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number
and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>)
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#1.sentence-3'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>Each class template defined in subclause <a href='qty.types.html' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a>
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#1.sentence-3'>.</a></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>Each class template defined in subclause <a href='qty.types.html' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a>
has data members and special members specified below, and
has no base classes or members other than those specified<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[qty.types]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref'>[qty.types]</a></h2><div id='general' class='section'><h3 ><a class='secnum' href='#general' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref' href='qty.types.general.html'>[qty.types.general]</a></h3><div class='para' id='general-1'><div class='marginalizedparent'><a class='marginalized' href='#general-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='general-1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
<!DOCTYPE html><html lang='en'><head><title>[qty.types]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref'>[qty.types]</a></h2><div id='general' class='section'><h3 ><a class='secnum' href='#general' style='min-width:80pt'>5.8.1</a> General <a class='abbr_ref' href='qty.types.general.html'>[qty.types.general]</a></h3><div class='para' id='general-1'><div class='marginalizedparent'><a class='marginalized' href='#general-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='general-1.sentence-1' class='sentence'>A <a class='hidden_link' href='#def:type,quantity' title='5.8.1&emsp;General&emsp;[qty.types.general]'><span id='def:type,quantity'><i >quantity type</i></span></a>
is a type <span class='texttt'><i >Q</i></span>
that is a specialization of <span class='texttt'>quantity</span> or <span class='texttt'>quantity_<span class='shy'></span>point</span><a class='hidden_link' href='#general-1.sentence-1'>.</a></div> <div id='general-1.sentence-2' class='sentence'><span class='texttt'><i >Q</i></span> represents a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-01">IEC 60050, 112-01-01</a>)
with <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> as its number
and <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>reference</span> as its reference<a class='hidden_link' href='#general-1.sentence-2'>.</a></div> <div id='general-1.sentence-3' class='sentence'><span class='texttt'><i >Q</i></span> is a structural type (<a href="https://wg21.link/temp.paramterm.structural.type">N4971, [temp.param]</a>)
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#general-1.sentence-3'>.</a></div></div></div><div class='para' id='general-2'><div class='marginalizedparent'><a class='marginalized' href='#general-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='general-2.sentence-1' class='sentence'>Each class template defined in subclause [qty.<span class='shy'></span>types]
if <span class='texttt'><i >Q</i><span class='operator'>&#x200b;::&#x200b;</span>rep</span> is a structural type<a class='hidden_link' href='#general-1.sentence-3'>.</a></div></div></div><div class='para' id='general-2'><div class='marginalizedparent'><a class='marginalized' href='#general-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='general-2.sentence-1' class='sentence'>Each class template defined in subclause [qty.<span class='shy'></span>types]
has data members and special members specified below, and
has no base classes or members other than those specified<a class='hidden_link' href='#general-2.sentence-1'>.</a></div></div></div></div><div id='qty.type' class='section'><h3 ><a class='secnum' href='#qty.type' style='min-width:80pt'>5.8.2</a> Class template <span class='texttt'>quantity</span> <a class='abbr_ref' href='qty.type.html'>[qty.type]</a></h3><div class='texpara'><span class='codeblock'><span class='keyword'>namespace</span> mp_units <span class='curlybracket'>{</span>

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<!DOCTYPE html><html lang='en'><head><title>[refs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='abbr_ref' href='index.html#refs'>[refs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L14'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':references'></a>The following documents are referred to in the text
<!DOCTYPE html><html lang='en'><head><title>[refs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='abbr_ref' href='index.html#refs'>[refs]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L14'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':references'></a>The following documents are referred to in the text
in such a way that some or all of their content
constitutes requirements of this document<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='1.sentence-2' class='sentence'>For dated references, only the edition cited applies<a class='hidden_link' href='#1.sentence-2'>.</a></div> <div id='1.sentence-3' class='sentence'>For undated references,
the latest edition of the referenced document

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<!DOCTYPE html><html lang='en'><head><title>[scope]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='abbr_ref' href='index.html#scope'>[scope]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':scope'></a>This document describes the contents of the <a class='hidden_link' href='#def:mp-units_library' title='1&emsp;Scope&emsp;[scope]'><span id='def:mp-units_library'><i >mp-units library</i></span></a><a class='hidden_link' href='#1.sentence-1'>.</a></div> </div></div></div></body></html>
<!DOCTYPE html><html lang='en'><head><title>[scope]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='abbr_ref' href='index.html#scope'>[scope]</a></h1><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'><a class='index' id=':scope'></a>This document describes the contents of the <a class='hidden_link' href='#def:mp-units_library' title='1&emsp;Scope&emsp;[scope]'><span id='def:mp-units_library'><i >mp-units library</i></span></a><a class='hidden_link' href='#1.sentence-1'>.</a></div> </div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.cats]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref'>[spec.cats]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<!DOCTYPE html><html lang='en'><head><title>[spec.cats]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref'>[spec.cats]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>–<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>,
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.ext]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref'>[spec.ext]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<!DOCTYPE html><html lang='en'><head><title>[spec.ext]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref'>[spec.ext]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8,
all assumingly amended for the context of this library<a class='hidden_link' href='#1.sentence-1'>.</a></div> <div id='note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#note-1'>1</a></i>:&ensp;<div id='1.sentence-2' class='sentence'>This means that, non exhaustively,
<ul class='itemize'><li id='1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span>
is a program-defined specialization and a library-defined specialization
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='2'><div class='marginalizedparent'><a class='marginalized' href='#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='ext' class='section'><h2 ><a class='secnum' href='#ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para' id='ext-1'><div class='marginalizedparent'><a class='marginalized' href='#ext-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='ext-1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<!DOCTYPE html><html lang='en'><head><title>[spec]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='ext' class='section'><h2 ><a class='secnum' href='#ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para' id='ext-1'><div class='marginalizedparent'><a class='marginalized' href='#ext-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='ext-1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
<a href="https://wg21.link/description">N4971, [description]</a>, <a href="https://wg21.link/requirements">N4971, [requirements]</a>, <a href="https://wg21.link/concepts.equality">N4971, [concepts.equality]</a>, and SD-8,
all assumingly amended for the context of this library<a class='hidden_link' href='#ext-1.sentence-1'>.</a></div> <div id='ext-note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#ext-note-1'>1</a></i>:&ensp;<div id='ext-1.sentence-2' class='sentence'>This means that, non exhaustively,
<ul class='itemize'><li id='ext-1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.1'>(1.1)</a></div><span class='texttt'><span class='operator'>&#x200b;::&#x200b;</span>mp_<span class='shy'></span>units2</span> is a reserved namespace, and</li><li id='ext-1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#ext-1.2'>(1.2)</a></div><span class='texttt'>std<span class='operator'>&#x200b;::&#x200b;</span>vector<span class='anglebracket'>&lt;</span>mp_<span class='shy'></span>units<span class='operator'>&#x200b;::&#x200b;</span><i >type</i><span class='anglebracket'>&gt;</span></span>
is a program-defined specialization and a library-defined specialization
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#ext-1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='ext-2'><div class='marginalizedparent'><a class='marginalized' href='#ext-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#ext-2.sentence-1'>.</a></div></div></div></div><div id='cats' class='section'><h2 ><a class='secnum' href='#cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para' id='cats-1'><div class='marginalizedparent'><a class='marginalized' href='#cats-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='cats-1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
from the point of view of the C++ standard library and the mp-units library, respectively<a class='hidden_link' href='#ext-1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para' id='ext-2'><div class='marginalizedparent'><a class='marginalized' href='#ext-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#ext-2.sentence-1'>.</a></div></div></div></div><div id='cats' class='section'><h2 ><a class='secnum' href='#cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para' id='cats-1'><div class='marginalizedparent'><a class='marginalized' href='#cats-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='cats-1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>–<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>,
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#cats-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='cats-2'><div class='marginalizedparent'><a class='marginalized' href='#cats-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='cats-2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#cats-2.sentence-1'>.</a></div></div></div></div><div id='mods' class='section'><h2 ><a class='secnum' href='#mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para' id='mods-1'><div class='marginalizedparent'><a class='marginalized' href='#mods-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='mods-1.sentence-1' class='sentence'>The mp-units library provides the
as shown in Table <a href='#tab:lib.cats' title='Table 1: Library categories'>1</a><a class='hidden_link' href='#cats-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:lib.cats'>Table <a href='#tab:lib.cats'>1</a>: Library categories&emsp;<a href='./tab:lib.cats.html'>[tab:lib.cats]</a><br><table ><tr id='tab:lib.cats-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-1-sentence-1' class='sentence'><b>Clause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-1-column-2-sentence-1' class='sentence'><b>Category</b></div></div></td></tr><tr id='tab:lib.cats-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:lib.cats-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-1-sentence-1' class='sentence'><a href='qties.html' title='5&emsp;Quantities library'>[qties]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:lib.cats-row-2-column-2-sentence-1' class='sentence'>Quantities library</div></div></td></tr></table></div></div></div><div class='para' id='cats-2'><div class='marginalizedparent'><a class='marginalized' href='#cats-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='cats-2.sentence-1' class='sentence'>The quantities library (<a href='qties.html' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#cats-2.sentence-1'>.</a></div></div></div></div><div id='mods' class='section'><h2 ><a class='secnum' href='#mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para' id='mods-1'><div class='marginalizedparent'><a class='marginalized' href='#mods-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='mods-1.sentence-1' class='sentence'>The mp-units library provides the
<a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>,
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#mods-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div><div id='reqs' class='section'><h2 ><a class='secnum' href='#reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='res.names' class='section'><h3 ><a class='secnum' href='#res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#mods-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div><div id='reqs' class='section'><h2 ><a class='secnum' href='#reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='res.names' class='section'><h3 ><a class='secnum' href='#res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#res.names-1.sentence-1'>.</a></div></div></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.mods]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref'>[spec.mods]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library provides the
<!DOCTYPE html><html lang='en'><head><title>[spec.mods]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref'>[spec.mods]</a></h2><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library provides the
<a class='hidden_link' href='#def:module,mp-units' title='4.3&emsp;Modules&emsp;[spec.mods]'><span id='def:module,mp-units'><i >mp-units modules</i></span></a>,
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:modules'>Table <a href='#tab:modules'>2</a>: mp-units modules&emsp;<a href='./tab:modules.html'>[tab:modules]</a><br><table ><tr id='tab:modules-row-1'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:modules-row-1'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-1-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-2-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td><td class='left'><div class='texpara'><div id='tab:modules-row-1-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>systems</span></div></div></td></tr></table></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.reqs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' href='#spec.res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='spec.res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#spec.res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='spec.res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<!DOCTYPE html><html lang='en'><head><title>[spec.reqs]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' href='#spec.res.names' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.res.names]</a></h3><div class='para' id='spec.res.names-1'><div class='marginalizedparent'><a class='marginalized' href='#spec.res.names-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='spec.res.names-1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#spec.res.names-1.sentence-1'>.</a></div></div></div></div></div></body></html>

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<!DOCTYPE html><html lang='en'><head><title>[spec.res.names]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html#spec.res.names'>[spec.reqs]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref'>[spec.res.names]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units123b4c0f140a2d9b67d89230209e488889931198/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<!DOCTYPE html><html lang='en'><head><title>[spec.res.names]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html#spec.res.names'>[spec.reqs]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref'>[spec.res.names]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-units520610ab2f91e9ecbfcbc19f754bfc4767936616/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div></body></html>

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@@ -2242,78 +2242,69 @@ work in practice.</p>
</span><span id="__span-0-12"><a id="__codelineno-0-12" name="__codelineno-0-12"></a><span class="cp">#include</span><span class="w"> </span><span class="cpf">&lt;mp-units/systems/si.h&gt;</span>
</span><span id="__span-0-13"><a id="__codelineno-0-13" name="__codelineno-0-13"></a><span class="cp">#endif</span>
</span></code></pre></div></td></tr></table></div>
<p>As always, we start with the inclusion of all the needed header files. After that, for
the simplicity of this example, we
<a href="../../framework_basics/character_of_a_quantity/#hacking-the-character">hack the character of quantities</a>
to be able to express vector quantities with simple scalar types.</p>
<p>As always, we start with the inclusion of all the needed header files.
The main part of the example prints all of the SI-defining constants:</p>
<div class="language-cpp highlight"><table class="highlighttable"><tr><th colspan="2" class="filename"><span class="filename">si_constants.cpp</span></th></tr><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"><a href="#__codelineno-1-14">14</a></span>
<span class="normal"><a href="#__codelineno-1-15">15</a></span>
<span class="normal"><a href="#__codelineno-1-16">16</a></span></pre></div></td><td class="code"><div><pre><span></span><code><span id="__span-1-14"><a id="__codelineno-1-14" name="__codelineno-1-14"></a><span class="k">template</span><span class="o">&lt;</span><span class="k">class</span><span class="w"> </span><span class="nc">T</span><span class="o">&gt;</span>
</span><span id="__span-1-15"><a id="__codelineno-1-15" name="__codelineno-1-15"></a><span class="w"> </span><span class="k">requires</span><span class="w"> </span><span class="n">mp_units</span><span class="o">::</span><span class="n">is_scalar</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span>
</span><span id="__span-1-16"><a id="__codelineno-1-16" name="__codelineno-1-16"></a><span class="k">constexpr</span><span class="w"> </span><span class="kt">bool</span><span class="w"> </span><span class="n">mp_units</span><span class="o">::</span><span class="n">is_vector</span><span class="o">&lt;</span><span class="n">T</span><span class="o">&gt;</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">true</span><span class="p">;</span>
</span></code></pre></div></td></tr></table></div>
<p>The main part of the example prints all of the SI-defining constants:</p>
<div class="language-cpp highlight"><table class="highlighttable"><tr><th colspan="2" class="filename"><span class="filename">si_constants.cpp</span></th></tr><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"><a href="#__codelineno-2-17">17</a></span>
<span class="normal"><a href="#__codelineno-2-18">18</a></span>
<span class="normal"><a href="#__codelineno-2-19">19</a></span>
<span class="normal"><a href="#__codelineno-2-20">20</a></span>
<span class="normal"><a href="#__codelineno-2-21">21</a></span>
<span class="normal"><a href="#__codelineno-2-22">22</a></span>
<span class="normal"><a href="#__codelineno-2-23">23</a></span>
<span class="normal"><a href="#__codelineno-2-24">24</a></span>
<span class="normal"><a href="#__codelineno-2-25">25</a></span>
<span class="normal"><a href="#__codelineno-2-26">26</a></span>
<span class="normal"><a href="#__codelineno-2-27">27</a></span>
<span class="normal"><a href="#__codelineno-2-28">28</a></span>
<span class="normal"><a href="#__codelineno-2-29">29</a></span>
<span class="normal"><a href="#__codelineno-2-30">30</a></span>
<span class="normal"><a href="#__codelineno-2-31">31</a></span>
<span class="normal"><a href="#__codelineno-2-32">32</a></span>
<span class="normal"><a href="#__codelineno-2-33">33</a></span>
<span class="normal"><a href="#__codelineno-2-34">34</a></span>
<span class="normal"><a href="#__codelineno-2-35">35</a></span>
<span class="normal"><a href="#__codelineno-2-36">36</a></span>
<span class="normal"><a href="#__codelineno-2-37">37</a></span>
<span class="normal"><a href="#__codelineno-2-38">38</a></span>
<span class="normal"><a href="#__codelineno-2-39">39</a></span>
<span class="normal"><a href="#__codelineno-2-40">40</a></span></pre></div></td><td class="code"><div><pre><span></span><code><span id="__span-2-17"><a id="__codelineno-2-17" name="__codelineno-2-17"></a><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">()</span>
</span><span id="__span-2-18"><a id="__codelineno-2-18" name="__codelineno-2-18"></a><span class="p">{</span>
</span><span id="__span-2-19"><a id="__codelineno-2-19" name="__codelineno-2-19"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="p">;</span>
</span><span id="__span-2-20"><a id="__codelineno-2-20" name="__codelineno-2-20"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="o">::</span><span class="nn">si</span><span class="p">;</span>
</span><span id="__span-2-21"><a id="__codelineno-2-21" name="__codelineno-2-21"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="o">::</span><span class="nn">si</span><span class="o">::</span><span class="nn">unit_symbols</span><span class="p">;</span>
</span><span id="__span-2-22"><a id="__codelineno-2-22" name="__codelineno-2-22"></a>
</span><span id="__span-2-23"><a id="__codelineno-2-23" name="__codelineno-2-23"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="s">&quot;The seven defining constants of the SI and the seven corresponding units they define:</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">;</span>
</span><span id="__span-2-24"><a id="__codelineno-2-24" name="__codelineno-2-24"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- hyperfine transition frequency of Cs: {} = {::N[.0]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-25"><a id="__codelineno-2-25" name="__codelineno-2-25"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">hyperfine_structure_transition_frequency_of_cs</span><span class="p">,</span>
</span><span id="__span-2-26"><a id="__codelineno-2-26" name="__codelineno-2-26"></a><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">hyperfine_structure_transition_frequency_of_cs</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">Hz</span><span class="p">));</span>
</span><span id="__span-2-27"><a id="__codelineno-2-27" name="__codelineno-2-27"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- speed of light in vacuum: {} = {::N[.0]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-28"><a id="__codelineno-2-28" name="__codelineno-2-28"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">speed_of_light_in_vacuum</span><span class="p">,</span>
</span><span id="__span-2-29"><a id="__codelineno-2-29" name="__codelineno-2-29"></a><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">speed_of_light_in_vacuum</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">m</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">s</span><span class="p">));</span>
</span><span id="__span-2-30"><a id="__codelineno-2-30" name="__codelineno-2-30"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Planck constant: {} = {::N[.8e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-31"><a id="__codelineno-2-31" name="__codelineno-2-31"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">planck_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">planck_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">J</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">s</span><span class="p">));</span>
</span><span id="__span-2-32"><a id="__codelineno-2-32" name="__codelineno-2-32"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- elementary charge: {} = {::N[.9e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-33"><a id="__codelineno-2-33" name="__codelineno-2-33"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">elementary_charge</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">elementary_charge</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">C</span><span class="p">));</span>
</span><span id="__span-2-34"><a id="__codelineno-2-34" name="__codelineno-2-34"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Boltzmann constant: {} = {::N[.6e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-35"><a id="__codelineno-2-35" name="__codelineno-2-35"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">boltzmann_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">boltzmann_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">J</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">K</span><span class="p">));</span>
</span><span id="__span-2-36"><a id="__codelineno-2-36" name="__codelineno-2-36"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Avogadro constant: {} = {::N[.8e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-37"><a id="__codelineno-2-37" name="__codelineno-2-37"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">avogadro_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">avogadro_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">one</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">mol</span><span class="p">));</span>
</span><span id="__span-2-38"><a id="__codelineno-2-38" name="__codelineno-2-38"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- luminous efficacy: {} = {}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-2-39"><a id="__codelineno-2-39" name="__codelineno-2-39"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">luminous_efficacy</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">luminous_efficacy</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">lm</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">W</span><span class="p">));</span>
</span><span id="__span-2-40"><a id="__codelineno-2-40" name="__codelineno-2-40"></a><span class="p">}</span>
<span class="normal"><a href="#__codelineno-1-16">16</a></span>
<span class="normal"><a href="#__codelineno-1-17">17</a></span>
<span class="normal"><a href="#__codelineno-1-18">18</a></span>
<span class="normal"><a href="#__codelineno-1-19">19</a></span>
<span class="normal"><a href="#__codelineno-1-20">20</a></span>
<span class="normal"><a href="#__codelineno-1-21">21</a></span>
<span class="normal"><a href="#__codelineno-1-22">22</a></span>
<span class="normal"><a href="#__codelineno-1-23">23</a></span>
<span class="normal"><a href="#__codelineno-1-24">24</a></span>
<span class="normal"><a href="#__codelineno-1-25">25</a></span>
<span class="normal"><a href="#__codelineno-1-26">26</a></span>
<span class="normal"><a href="#__codelineno-1-27">27</a></span>
<span class="normal"><a href="#__codelineno-1-28">28</a></span>
<span class="normal"><a href="#__codelineno-1-29">29</a></span>
<span class="normal"><a href="#__codelineno-1-30">30</a></span>
<span class="normal"><a href="#__codelineno-1-31">31</a></span>
<span class="normal"><a href="#__codelineno-1-32">32</a></span>
<span class="normal"><a href="#__codelineno-1-33">33</a></span>
<span class="normal"><a href="#__codelineno-1-34">34</a></span>
<span class="normal"><a href="#__codelineno-1-35">35</a></span>
<span class="normal"><a href="#__codelineno-1-36">36</a></span>
<span class="normal"><a href="#__codelineno-1-37">37</a></span></pre></div></td><td class="code"><div><pre><span></span><code><span id="__span-1-14"><a id="__codelineno-1-14" name="__codelineno-1-14"></a><span class="kt">int</span><span class="w"> </span><span class="nf">main</span><span class="p">()</span>
</span><span id="__span-1-15"><a id="__codelineno-1-15" name="__codelineno-1-15"></a><span class="p">{</span>
</span><span id="__span-1-16"><a id="__codelineno-1-16" name="__codelineno-1-16"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="p">;</span>
</span><span id="__span-1-17"><a id="__codelineno-1-17" name="__codelineno-1-17"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="o">::</span><span class="nn">si</span><span class="p">;</span>
</span><span id="__span-1-18"><a id="__codelineno-1-18" name="__codelineno-1-18"></a><span class="w"> </span><span class="k">using</span><span class="w"> </span><span class="k">namespace</span><span class="w"> </span><span class="nn">mp_units</span><span class="o">::</span><span class="nn">si</span><span class="o">::</span><span class="nn">unit_symbols</span><span class="p">;</span>
</span><span id="__span-1-19"><a id="__codelineno-1-19" name="__codelineno-1-19"></a>
</span><span id="__span-1-20"><a id="__codelineno-1-20" name="__codelineno-1-20"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="s">&quot;The seven defining constants of the SI and the seven corresponding units they define:</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">;</span>
</span><span id="__span-1-21"><a id="__codelineno-1-21" name="__codelineno-1-21"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- hyperfine transition frequency of Cs: {} = {::N[.0]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-22"><a id="__codelineno-1-22" name="__codelineno-1-22"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">hyperfine_structure_transition_frequency_of_cs</span><span class="p">,</span>
</span><span id="__span-1-23"><a id="__codelineno-1-23" name="__codelineno-1-23"></a><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">hyperfine_structure_transition_frequency_of_cs</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">Hz</span><span class="p">));</span>
</span><span id="__span-1-24"><a id="__codelineno-1-24" name="__codelineno-1-24"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- speed of light in vacuum: {} = {::N[.0]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-25"><a id="__codelineno-1-25" name="__codelineno-1-25"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">speed_of_light_in_vacuum</span><span class="p">,</span>
</span><span id="__span-1-26"><a id="__codelineno-1-26" name="__codelineno-1-26"></a><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">speed_of_light_in_vacuum</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">m</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">s</span><span class="p">));</span>
</span><span id="__span-1-27"><a id="__codelineno-1-27" name="__codelineno-1-27"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Planck constant: {} = {::N[.8e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-28"><a id="__codelineno-1-28" name="__codelineno-1-28"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">planck_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">planck_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">J</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">s</span><span class="p">));</span>
</span><span id="__span-1-29"><a id="__codelineno-1-29" name="__codelineno-1-29"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- elementary charge: {} = {::N[.9e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-30"><a id="__codelineno-1-30" name="__codelineno-1-30"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">elementary_charge</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">elementary_charge</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">C</span><span class="p">));</span>
</span><span id="__span-1-31"><a id="__codelineno-1-31" name="__codelineno-1-31"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Boltzmann constant: {} = {::N[.6e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-32"><a id="__codelineno-1-32" name="__codelineno-1-32"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">boltzmann_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">boltzmann_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">J</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">K</span><span class="p">));</span>
</span><span id="__span-1-33"><a id="__codelineno-1-33" name="__codelineno-1-33"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- Avogadro constant: {} = {::N[.8e]}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-34"><a id="__codelineno-1-34" name="__codelineno-1-34"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">avogadro_constant</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">avogadro_constant</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">one</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">mol</span><span class="p">));</span>
</span><span id="__span-1-35"><a id="__codelineno-1-35" name="__codelineno-1-35"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">cout</span><span class="w"> </span><span class="o">&lt;&lt;</span><span class="w"> </span><span class="n">MP_UNITS_STD_FMT</span><span class="o">::</span><span class="n">format</span><span class="p">(</span><span class="s">&quot;- luminous efficacy: {} = {}</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span>
</span><span id="__span-1-36"><a id="__codelineno-1-36" name="__codelineno-1-36"></a><span class="w"> </span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">luminous_efficacy</span><span class="p">,</span><span class="w"> </span><span class="p">(</span><span class="mf">1.</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si2019</span><span class="o">::</span><span class="n">luminous_efficacy</span><span class="p">).</span><span class="n">in</span><span class="p">(</span><span class="n">lm</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">W</span><span class="p">));</span>
</span><span id="__span-1-37"><a id="__codelineno-1-37" name="__codelineno-1-37"></a><span class="p">}</span>
</span></code></pre></div></td></tr></table></div>
<p>While analyzing the output of this program (provided below), we can easily notice that a direct
printing of the quantity provides just a value <code>1</code> with a proper constant symbol. This is the main
power of the <a href="../../framework_basics/faster_than_lightspeed_constants/">Faster-than-lightspeed Constants</a>
feature. Only after we explicitly convert the unit of a quantity to proper SI units we get an
actual numeric value of the constant.</p>
<div class="language-text highlight"><pre><span></span><code><span id="__span-3-1"><a id="__codelineno-3-1" name="__codelineno-3-1" href="#__codelineno-3-1"></a>The seven defining constants of the SI and the seven corresponding units they define:
</span><span id="__span-3-2"><a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a>- hyperfine transition frequency of Cs: 1 Δν_Cs = 9192631770 Hz
</span><span id="__span-3-3"><a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a>- speed of light in vacuum: 1 c = 299792458 m/s
</span><span id="__span-3-4"><a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a>- Planck constant: 1 h = 6.62607015e-34 J s
</span><span id="__span-3-5"><a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a>- elementary charge: 1 e = 1.602176634e-19 C
</span><span id="__span-3-6"><a id="__codelineno-3-6" name="__codelineno-3-6" href="#__codelineno-3-6"></a>- Boltzmann constant: 1 k = 1.380649e-23 J/K
</span><span id="__span-3-7"><a id="__codelineno-3-7" name="__codelineno-3-7" href="#__codelineno-3-7"></a>- Avogadro constant: 1 N_A = 6.02214076e+23 1/mol
</span><span id="__span-3-8"><a id="__codelineno-3-8" name="__codelineno-3-8" href="#__codelineno-3-8"></a>- luminous efficacy: 1 K_cd = 683 lm/W
<div class="language-text highlight"><pre><span></span><code><span id="__span-2-1"><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a>The seven defining constants of the SI and the seven corresponding units they define:
</span><span id="__span-2-2"><a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a>- hyperfine transition frequency of Cs: 1 Δν_Cs = 9192631770 Hz
</span><span id="__span-2-3"><a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a>- speed of light in vacuum: 1 c = 299792458 m/s
</span><span id="__span-2-4"><a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a>- Planck constant: 1 h = 6.62607015e-34 J s
</span><span id="__span-2-5"><a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a>- elementary charge: 1 e = 1.602176634e-19 C
</span><span id="__span-2-6"><a id="__codelineno-2-6" name="__codelineno-2-6" href="#__codelineno-2-6"></a>- Boltzmann constant: 1 k = 1.380649e-23 J/K
</span><span id="__span-2-7"><a id="__codelineno-2-7" name="__codelineno-2-7" href="#__codelineno-2-7"></a>- Avogadro constant: 1 N_A = 6.02214076e+23 1/mol
</span><span id="__span-2-8"><a id="__codelineno-2-8" name="__codelineno-2-8" href="#__codelineno-2-8"></a>- luminous efficacy: 1 K_cd = 683 lm/W
</span></code></pre></div>