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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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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
which respectively represent

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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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsbda112418a6bff3fd58e435e4e5fafefbcbf7a58/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
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@ -2475,7 +2475,7 @@ This introduces an additional type-safety.</p>
</span><span id="__span-15-7"><a id="__codelineno-15-7" name="__codelineno-15-7" href="#__codelineno-15-7"></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>
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</span><span id="__span-15-9"><a id="__codelineno-15-9" name="__codelineno-15-9" href="#__codelineno-15-9"></a>
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</span><span id="__span-15-11"><a id="__codelineno-15-11" name="__codelineno-15-11" href="#__codelineno-15-11"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;Temperature: {} ({})&quot;</span><span class="p">,</span>
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@ -2494,7 +2494,7 @@ This introduces an additional type-safety.</p>
</span><span id="__span-16-9"><a id="__codelineno-16-9" name="__codelineno-16-9" href="#__codelineno-16-9"></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-16-10"><a id="__codelineno-16-10" name="__codelineno-16-10" href="#__codelineno-16-10"></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">usc</span><span class="o">::</span><span class="nn">unit_symbols</span><span class="p">;</span>
</span><span id="__span-16-11"><a id="__codelineno-16-11" name="__codelineno-16-11" href="#__codelineno-16-11"></a>
</span><span id="__span-16-12"><a id="__codelineno-16-12" name="__codelineno-16-12" href="#__codelineno-16-12"></a><span class="w"> </span><span class="n">quantity_point</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.</span><span class="p">);</span>
</span><span id="__span-16-12"><a id="__codelineno-16-12" name="__codelineno-16-12" href="#__codelineno-16-12"></a><span class="w"> </span><span class="n">quantity_point</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.</span><span class="p">);</span>
</span><span id="__span-16-13"><a id="__codelineno-16-13" name="__codelineno-16-13" href="#__codelineno-16-13"></a><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">println</span><span class="p">(</span><span class="s">&quot;Temperature: {} ({})&quot;</span><span class="p">,</span>
</span><span id="__span-16-14"><a id="__codelineno-16-14" name="__codelineno-16-14" href="#__codelineno-16-14"></a><span class="w"> </span><span class="n">temp</span><span class="p">.</span><span class="n">quantity_from_zero</span><span class="p">(),</span>
</span><span id="__span-16-15"><a id="__codelineno-16-15" name="__codelineno-16-15" href="#__codelineno-16-15"></a><span class="w"> </span><span class="n">temp</span><span class="p">.</span><span class="n">in</span><span class="p">(</span><span class="n">deg_F</span><span class="p">).</span><span class="n">quantity_from_zero</span><span class="p">());</span>

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<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/examples/hw_voltage/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/examples/si_constants/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/character_of_a_quantity/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/concepts/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/design_overview/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/dimensionless_quantities/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/faster_than_lightspeed_constants/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/generic_interfaces/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/interface_introduction/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/obtaining_metadata/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/quantity_arithmetics/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/simple_and_typed_quantities/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/systems_of_quantities/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/systems_of_units/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/text_output/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/the_affine_space/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/framework_basics/value_conversions/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/introduction/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/isq/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/natural_units/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/si/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/systems/strong_angular_system/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/extending_the_library/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/interoperability_with_other_libraries/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/pure_dimensional_analysis/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/using_custom_representation_types/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/wide_compatibility/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/use_cases/working_with_legacy_interfaces/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2023/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/metrology/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/releases/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/category/wg21-updates/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/page/2/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/blog/archive/2024/page/2/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
<url>
<loc>https://mpusz.github.io/mp-units/HEAD/users_guide/examples/tags_index/</loc>
<lastmod>2024-11-22</lastmod>
<lastmod>2024-11-24</lastmod>
</url>
</urlset>

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@ -2294,7 +2294,7 @@ origin to offset the zero of the sale, and a dedicated quantity point alias usin
<span class="normal"><a href="#__codelineno-3-33">33</a></span>
<span class="normal"><a href="#__codelineno-3-34">34</a></span>
<span class="normal"><a href="#__codelineno-3-35">35</a></span></pre></div></td><td class="code"><div><pre><span></span><code><span id="__span-3-29"><a id="__codelineno-3-29" name="__codelineno-3-29"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">hw_voltage_origin</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span>
</span><span id="__span-3-30"><a id="__codelineno-3-30" name="__codelineno-3-30"></a><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">volt</span><span class="o">&gt;</span><span class="p">(</span><span class="n">min_voltage</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">hw_voltage_origin</span><span class="p">;</span>
</span><span id="__span-3-30"><a id="__codelineno-3-30" name="__codelineno-3-30"></a><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">volt</span><span class="o">&gt;</span><span class="p">(</span><span class="n">min_voltage</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">hw_voltage_origin</span><span class="p">;</span>
</span><span id="__span-3-31"><a id="__codelineno-3-31" name="__codelineno-3-31"></a>
</span><span id="__span-3-32"><a id="__codelineno-3-32" name="__codelineno-3-32"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">hw_voltage_unit</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span>
</span><span id="__span-3-33"><a id="__codelineno-3-33" name="__codelineno-3-33"></a><span class="w"> </span><span class="n">named_unit</span><span class="o">&lt;</span><span class="s">&quot;hwV&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">mag_ratio</span><span class="o">&lt;</span><span class="n">voltage_range</span><span class="p">,</span><span class="w"> </span><span class="n">voltage_hw_range</span><span class="o">&gt;</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">volt</span><span class="p">,</span><span class="w"> </span><span class="n">hw_voltage_origin</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">hw_voltage_unit</span><span class="p">;</span>
@ -2318,7 +2318,7 @@ a helper function that will read the value and construct a quantity point from t
</span><span id="__span-4-40"><a id="__codelineno-4-40" name="__codelineno-4-40"></a><span class="p">{</span>
</span><span id="__span-4-41"><a id="__codelineno-4-41" name="__codelineno-4-41"></a><span class="w"> </span><span class="n">voltage_hw_t</span><span class="w"> </span><span class="n">local_copy</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">hw_voltage_value</span><span class="p">;</span>
</span><span id="__span-4-42"><a id="__codelineno-4-42" name="__codelineno-4-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">local_copy</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">voltage_hw_error</span><span class="p">)</span><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">std</span><span class="o">::</span><span class="n">nullopt</span><span class="p">;</span>
</span><span id="__span-4-43"><a id="__codelineno-4-43" name="__codelineno-4-43"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">hw_voltage_unit</span><span class="o">&gt;</span><span class="p">(</span><span class="n">local_copy</span><span class="p">);</span>
</span><span id="__span-4-43"><a id="__codelineno-4-43" name="__codelineno-4-43"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">hw_voltage_unit</span><span class="o">&gt;</span><span class="p">(</span><span class="n">local_copy</span><span class="p">);</span>
</span><span id="__span-4-44"><a id="__codelineno-4-44" name="__codelineno-4-44"></a><span class="p">}</span>
</span></code></pre></div></td></tr></table></div>
<p>We also provide a simple print helper for our quantity points:</p>

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@ -2458,7 +2458,7 @@ scale zeroth point using the following rules:</p>
<li>otherwise, an instantiation of <code>zeroth_point_origin&lt;QuantitySpec&gt;</code> is being used which
provides a well-established zeroth point for a specific quantity type.</li>
</ul>
<p>Quantity points with default point origins may be constructed with the <code>absolute</code> construction
<p>Quantity points with default point origins may be constructed with the <code>point</code> construction
helper or forcing an explicit conversion from the <code>quantity</code>:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-1-1"><a id="__codelineno-1-1" name="__codelineno-1-1" href="#__codelineno-1-1"></a><span class="c1">// quantity_point qp1 = 42 * m; // Compile-time error</span>
</span><span id="__span-1-2"><a id="__codelineno-1-2" name="__codelineno-1-2" href="#__codelineno-1-2"></a><span class="c1">// quantity_point qp2 = 42 * K; // Compile-time error</span>
@ -2466,9 +2466,9 @@ helper or forcing an explicit conversion from the <code>quantity</code>:</p>
</span><span id="__span-1-4"><a id="__codelineno-1-4" name="__codelineno-1-4" href="#__codelineno-1-4"></a><span class="n">quantity_point</span><span class="w"> </span><span class="nf">qp4</span><span class="p">(</span><span class="mi">42</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
</span><span id="__span-1-5"><a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a><span class="n">quantity_point</span><span class="w"> </span><span class="nf">qp5</span><span class="p">(</span><span class="mi">42</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-1-6"><a id="__codelineno-1-6" name="__codelineno-1-6" href="#__codelineno-1-6"></a><span class="n">quantity_point</span><span class="w"> </span><span class="nf">qp6</span><span class="p">(</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">));</span>
</span><span id="__span-1-7"><a id="__codelineno-1-7" name="__codelineno-1-7" href="#__codelineno-1-7"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp7</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">m</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span><span id="__span-1-8"><a id="__codelineno-1-8" name="__codelineno-1-8" href="#__codelineno-1-8"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp8</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">K</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span><span id="__span-1-9"><a id="__codelineno-1-9" name="__codelineno-1-9" href="#__codelineno-1-9"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp9</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span><span id="__span-1-7"><a id="__codelineno-1-7" name="__codelineno-1-7" href="#__codelineno-1-7"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp7</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">m</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span><span id="__span-1-8"><a id="__codelineno-1-8" name="__codelineno-1-8" href="#__codelineno-1-8"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp8</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">K</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span><span id="__span-1-9"><a id="__codelineno-1-9" name="__codelineno-1-9" href="#__codelineno-1-9"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">qp9</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">42</span><span class="p">);</span>
</span></code></pre></div>
<div class="admonition tip">
<p class="admonition-title">Tip</p>
@ -2481,7 +2481,7 @@ This saves the user from the need to write a boilerplate code that would predefi
for this domain.</p>
<p><img alt="affine_space_1" src="../affine_space_1.svg" style="width:80%;display: block;margin: 0 auto;" /></p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-2-1"><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">distance</span><span class="p">[</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="p">]</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp1</span><span class="p">(</span><span class="mi">100</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
</span><span id="__span-2-2"><a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">distance</span><span class="p">[</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="p">]</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">m</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">120</span><span class="p">);</span>
</span><span id="__span-2-2"><a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">distance</span><span class="p">[</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="p">]</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">m</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">120</span><span class="p">);</span>
</span><span id="__span-2-3"><a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a>
</span><span id="__span-2-4"><a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a><span class="n">assert</span><span class="p">(</span><span class="n">qp1</span><span class="p">.</span><span class="n">quantity_from_zero</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">100</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
</span><span id="__span-2-5"><a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a><span class="n">assert</span><span class="p">(</span><span class="n">qp2</span><span class="p">.</span><span class="n">quantity_from_zero</span><span class="p">()</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">120</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
@ -2505,7 +2505,7 @@ might be surprising that the usage of <code>zeroth_point_origin&lt;QuantitySpec&
point objects compatible as long as quantity types used in the origin and reference are
compatible:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-3-1"><a id="__codelineno-3-1" name="__codelineno-3-1" href="#__codelineno-3-1"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp1</span><span class="p">{</span><span class="n">isq</span><span class="o">::</span><span class="n">distance</span><span class="p">(</span><span class="mi">100</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">)};</span>
</span><span id="__span-3-2"><a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">height</span><span class="p">[</span><span class="n">m</span><span class="p">]</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">120</span><span class="p">);</span>
</span><span id="__span-3-2"><a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">metre</span><span class="o">&gt;</span><span class="w"> </span><span class="n">qp2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">height</span><span class="p">[</span><span class="n">m</span><span class="p">]</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">120</span><span class="p">);</span>
</span><span id="__span-3-3"><a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a>
</span><span id="__span-3-4"><a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a><span class="n">assert</span><span class="p">(</span><span class="n">qp2</span><span class="p">.</span><span class="n">quantity_from</span><span class="p">(</span><span class="n">qp1</span><span class="p">)</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">20</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
</span><span id="__span-3-5"><a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a><span class="n">assert</span><span class="p">(</span><span class="n">qp1</span><span class="p">.</span><span class="n">quantity_from</span><span class="p">(</span><span class="n">qp2</span><span class="p">)</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">-20</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">m</span><span class="p">);</span>
@ -2697,7 +2697,7 @@ point origins for this purpose:</p>
</span><span id="__span-11-3"><a id="__codelineno-11-3" name="__codelineno-11-3" href="#__codelineno-11-3"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">absolute_zero</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">absolute_point_origin</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">thermodynamic_temperature</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">absolute_zero</span><span class="p">;</span>
</span><span id="__span-11-4"><a id="__codelineno-11-4" name="__codelineno-11-4" href="#__codelineno-11-4"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="n">zeroth_kelvin</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute_zero</span><span class="p">;</span>
</span><span id="__span-11-5"><a id="__codelineno-11-5" name="__codelineno-11-5" href="#__codelineno-11-5"></a>
</span><span id="__span-11-6"><a id="__codelineno-11-6" name="__codelineno-11-6" href="#__codelineno-11-6"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">ice_point</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">milli</span><span class="o">&lt;</span><span class="n">kelvin</span><span class="o">&gt;&gt;</span><span class="p">(</span><span class="mi">273&#39;150</span><span class="p">)}</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">ice_point</span><span class="p">;</span>
</span><span id="__span-11-6"><a id="__codelineno-11-6" name="__codelineno-11-6" href="#__codelineno-11-6"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">ice_point</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">point</span><span class="o">&lt;</span><span class="n">milli</span><span class="o">&lt;</span><span class="n">kelvin</span><span class="o">&gt;&gt;</span><span class="p">(</span><span class="mi">273&#39;150</span><span class="p">)}</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">ice_point</span><span class="p">;</span>
</span><span id="__span-11-7"><a id="__codelineno-11-7" name="__codelineno-11-7" href="#__codelineno-11-7"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="n">zeroth_degree_Celsius</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">ice_point</span><span class="p">;</span>
</span><span id="__span-11-8"><a id="__codelineno-11-8" name="__codelineno-11-8" href="#__codelineno-11-8"></a>
</span><span id="__span-11-9"><a id="__codelineno-11-9" name="__codelineno-11-9" href="#__codelineno-11-9"></a><span class="p">}</span>
@ -2705,7 +2705,7 @@ point origins for this purpose:</p>
</span><span id="__span-11-11"><a id="__codelineno-11-11" name="__codelineno-11-11" href="#__codelineno-11-11"></a><span class="k">namespace</span><span class="w"> </span><span class="nn">usc</span><span class="w"> </span><span class="p">{</span>
</span><span id="__span-11-12"><a id="__codelineno-11-12" name="__codelineno-11-12" href="#__codelineno-11-12"></a>
</span><span id="__span-11-13"><a id="__codelineno-11-13" name="__codelineno-11-13" href="#__codelineno-11-13"></a><span class="kr">inline</span><span class="w"> </span><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">zeroth_degree_Fahrenheit</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span>
</span><span id="__span-11-14"><a id="__codelineno-11-14" name="__codelineno-11-14" href="#__codelineno-11-14"></a><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">mag_ratio</span><span class="o">&lt;</span><span class="mi">5</span><span class="p">,</span><span class="w"> </span><span class="mi">9</span><span class="o">&gt;</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">-32</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">zeroth_degree_Fahrenheit</span><span class="p">;</span>
</span><span id="__span-11-14"><a id="__codelineno-11-14" name="__codelineno-11-14" href="#__codelineno-11-14"></a><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">point</span><span class="o">&lt;</span><span class="n">mag_ratio</span><span class="o">&lt;</span><span class="mi">5</span><span class="p">,</span><span class="w"> </span><span class="mi">9</span><span class="o">&gt;</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">-32</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">zeroth_degree_Fahrenheit</span><span class="p">;</span>
</span><span id="__span-11-15"><a id="__codelineno-11-15" name="__codelineno-11-15" href="#__codelineno-11-15"></a>
</span><span id="__span-11-16"><a id="__codelineno-11-16" name="__codelineno-11-16" href="#__codelineno-11-16"></a><span class="p">}</span>
</span></code></pre></div>
@ -2751,7 +2751,7 @@ choose from here. Depending on our needs or tastes, we can:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-13-1"><a id="__codelineno-13-1" name="__codelineno-13-1" href="#__codelineno-13-1"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-13-2"><a id="__codelineno-13-2" name="__codelineno-13-2" href="#__codelineno-13-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q2</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">),</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="p">};</span>
</span><span id="__span-13-3"><a id="__codelineno-13-3" name="__codelineno-13-3" href="#__codelineno-13-3"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q3</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">)};</span>
</span><span id="__span-13-4"><a id="__codelineno-13-4" name="__codelineno-13-4" href="#__codelineno-13-4"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q4</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-13-4"><a id="__codelineno-13-4" name="__codelineno-13-4" href="#__codelineno-13-4"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="p">,</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q4</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span></code></pre></div>
</li>
<li>
@ -2759,7 +2759,7 @@ choose from here. Depending on our needs or tastes, we can:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-14-1"><a id="__codelineno-14-1" name="__codelineno-14-1" href="#__codelineno-14-1"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q5</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-14-2"><a id="__codelineno-14-2" name="__codelineno-14-2" href="#__codelineno-14-2"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q6</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">),</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="p">};</span>
</span><span id="__span-14-3"><a id="__codelineno-14-3" name="__codelineno-14-3" href="#__codelineno-14-3"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q7</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">)};</span>
</span><span id="__span-14-4"><a id="__codelineno-14-4" name="__codelineno-14-4" href="#__codelineno-14-4"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q8</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-14-4"><a id="__codelineno-14-4" name="__codelineno-14-4" href="#__codelineno-14-4"></a><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">si</span><span class="o">::</span><span class="n">degree_Celsius</span><span class="o">&gt;</span><span class="w"> </span><span class="n">q8</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span></code></pre></div>
</li>
<li>
@ -2767,7 +2767,7 @@ choose from here. Depending on our needs or tastes, we can:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-15-1"><a id="__codelineno-15-1" name="__codelineno-15-1" href="#__codelineno-15-1"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">q9</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-15-2"><a id="__codelineno-15-2" name="__codelineno-15-2" href="#__codelineno-15-2"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">q10</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">),</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">zeroth_degree_Celsius</span><span class="p">};</span>
</span><span id="__span-15-3"><a id="__codelineno-15-3" name="__codelineno-15-3" href="#__codelineno-15-3"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">q11</span><span class="p">{</span><span class="n">delta</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">)};</span>
</span><span id="__span-15-4"><a id="__codelineno-15-4" name="__codelineno-15-4" href="#__codelineno-15-4"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">q12</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span><span id="__span-15-4"><a id="__codelineno-15-4" name="__codelineno-15-4" href="#__codelineno-15-4"></a><span class="n">quantity_point</span><span class="w"> </span><span class="n">q12</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mf">20.5</span><span class="p">);</span>
</span></code></pre></div>
</li>
</ul>
@ -2775,7 +2775,7 @@ choose from here. Depending on our needs or tastes, we can:</p>
<p>To play a bit more with temperatures, we can implement a simple room AC temperature controller in
the following way:</p>
<p><img alt="affine_space_6" src="../affine_space_6.svg" style="width:80%;display: block;margin: 0 auto;" /></p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-16-1"><a id="__codelineno-16-1" name="__codelineno-16-1" href="#__codelineno-16-1"></a><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">room_reference_temp</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">absolute</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">21</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">room_reference_temp</span><span class="p">;</span>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-16-1"><a id="__codelineno-16-1" name="__codelineno-16-1" href="#__codelineno-16-1"></a><span class="k">constexpr</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">room_reference_temp</span><span class="w"> </span><span class="k">final</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">relative_point_origin</span><span class="o">&lt;</span><span class="n">point</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;</span><span class="p">(</span><span class="mi">21</span><span class="p">)</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">room_reference_temp</span><span class="p">;</span>
</span><span id="__span-16-2"><a id="__codelineno-16-2" name="__codelineno-16-2" href="#__codelineno-16-2"></a><span class="k">using</span><span class="w"> </span><span class="n">room_temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">quantity_point</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">Celsius_temperature</span><span class="p">[</span><span class="n">deg_C</span><span class="p">],</span><span class="w"> </span><span class="n">room_reference_temp</span><span class="o">&gt;</span><span class="p">;</span>
</span><span id="__span-16-3"><a id="__codelineno-16-3" name="__codelineno-16-3" href="#__codelineno-16-3"></a>
</span><span id="__span-16-4"><a id="__codelineno-16-4" name="__codelineno-16-4" href="#__codelineno-16-4"></a><span class="k">constexpr</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="n">step_delta</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">delta</span><span class="o">&lt;</span><span class="n">isq</span><span class="o">::</span><span class="n">Celsius_temperature</span><span class="o">&lt;</span><span class="n">deg_C</span><span class="o">&gt;&gt;</span><span class="p">(</span><span class="mf">0.5</span><span class="p">);</span>