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mpusz/mp-units
HEAD/api_reference/gen/defs.html
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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-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,
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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>
HEAD/api_reference/gen/full.html
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<!DOCTYPE html><html lang='en'><head><title>14882</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'><div id='scope' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='scope.html#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='scope-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='#scope-1.sentence-1'>.</a></div> </div></div></div><div id='refs' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='refs.html#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='refs-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>14882</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'><div id='scope' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='scope.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L6'>#</a></div><div class='texpara'><div id='scope-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='#scope-1.sentence-1'>.</a></div> </div></div></div><div id='refs' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='refs.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L14'>#</a></div><div class='texpara'><div id='refs-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='#refs-1.sentence-1'>.</a></div> <div id='refs-1.sentence-2' class='sentence'>For dated references, only the edition cited applies<a class='hidden_link' href='#refs-1.sentence-2'>.</a></div> <div id='refs-1.sentence-3' class='sentence'>For undated references,
the latest edition of the referenced document
@@ -6,29 +6,29 @@ the latest edition of the referenced document
<i >Amendment 3 — International Electrotechnical Vocabulary (IEV) —
Part 102: Mathematics — General concepts and linear algebra</i></div></div></li><li id='refs-1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.2'>(1.2)</a></div><div class='texpara'><div id='refs-1.2.sentence-1' class='sentence'>IEC 60050-112:2010/AMD2:2020,
<i >Amendment 2 — International Electrotechnical Vocabulary (IEV) —
Part 112: Quantities and units</i></div></div></li><li id='refs-1.3'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.3'>(1.3)</a></div><div class='texpara'><div id='refs-1.3.sentence-1' class='sentence'>ISO 80000 (all parts), <i >Quantities and units</i></div></div></li><li id='refs-1.4'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.4'>(1.4)</a></div><div class='texpara'><div id='refs-1.4.sentence-1' class='sentence'>The C++ Standards Committee<a class='hidden_link' href='#refs-1.4.sentence-1'>.</a></div> <div id='refs-1.4.sentence-2' class='sentence'>N4971: <i >Working Draft, Standard for Programming Language C++</i><a class='hidden_link' href='#refs-1.4.sentence-2'>.</a></div> <div id='refs-1.4.sentence-3' class='sentence'>Edited by Thomas Köppe<a class='hidden_link' href='#refs-1.4.sentence-3'>.</a></div> <div id='refs-1.4.sentence-4' class='sentence'>Available from: <a href='https://wg21.link/N4971'>https://wg21.link/N4971</a></div></div></li><li id='refs-1.5'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.5'>(1.5)</a></div><div class='texpara'><div id='refs-1.5.sentence-1' class='sentence'>The C++ Standards Committee<a class='hidden_link' href='#refs-1.5.sentence-1'>.</a></div> <div id='refs-1.5.sentence-2' class='sentence'>SD-8: <i >Standard Library Compatibility</i><a class='hidden_link' href='#refs-1.5.sentence-2'>.</a></div> <div id='refs-1.5.sentence-3' class='sentence'>Edited by Bryce Lelbach<a class='hidden_link' href='#refs-1.5.sentence-3'>.</a></div> <div id='refs-1.5.sentence-4' class='sentence'>Available from: <a href='https://wg21.link/SD8'>https://wg21.link/SD8</a></div></div></li></ul> </div></div></div><div id='defs' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='defs.html#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='defs-1.sentence-1' class='sentence'><a class='index' id=':definitions'></a>For the purposes of this document,
Part 112: Quantities and units</i></div></div></li><li id='refs-1.3'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.3'>(1.3)</a></div><div class='texpara'><div id='refs-1.3.sentence-1' class='sentence'>ISO 80000 (all parts), <i >Quantities and units</i></div></div></li><li id='refs-1.4'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.4'>(1.4)</a></div><div class='texpara'><div id='refs-1.4.sentence-1' class='sentence'>The C++ Standards Committee<a class='hidden_link' href='#refs-1.4.sentence-1'>.</a></div> <div id='refs-1.4.sentence-2' class='sentence'>N4971: <i >Working Draft, Standard for Programming Language C++</i><a class='hidden_link' href='#refs-1.4.sentence-2'>.</a></div> <div id='refs-1.4.sentence-3' class='sentence'>Edited by Thomas Köppe<a class='hidden_link' href='#refs-1.4.sentence-3'>.</a></div> <div id='refs-1.4.sentence-4' class='sentence'>Available from: <a href='https://wg21.link/N4971'>https://wg21.link/N4971</a></div></div></li><li id='refs-1.5'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#refs-1.5'>(1.5)</a></div><div class='texpara'><div id='refs-1.5.sentence-1' class='sentence'>The C++ Standards Committee<a class='hidden_link' href='#refs-1.5.sentence-1'>.</a></div> <div id='refs-1.5.sentence-2' class='sentence'>SD-8: <i >Standard Library Compatibility</i><a class='hidden_link' href='#refs-1.5.sentence-2'>.</a></div> <div id='refs-1.5.sentence-3' class='sentence'>Edited by Bryce Lelbach<a class='hidden_link' href='#refs-1.5.sentence-3'>.</a></div> <div id='refs-1.5.sentence-4' class='sentence'>Available from: <a href='https://wg21.link/SD8'>https://wg21.link/SD8</a></div></div></li></ul> </div></div></div><div id='defs' class='section'><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'><div class='marginalizedparent'><a class='marginalized' href='defs.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L50'>#</a></div><div class='texpara'><div id='defs-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='#defs-1.sentence-1'>.</a></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='defs.html#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='defs-2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases
and the following apply<a class='hidden_link' href='#defs-1.sentence-1'>.</a></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='defs.html#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L61'>#</a></div><div class='texpara'><div id='defs-2.sentence-1' class='sentence'>ISO and IEC maintain terminology databases
for use in standardization
at the following addresses:
<ul class='itemize'><li id='defs-2.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#defs-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='defs-2.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#defs-2.2'>(2.2)</a></div>IEC Electropedia: available at <a href='http://www.electropedia.org'>http://www.electropedia.org</a></li></ul>
</div></div></div></div><div id='spec' class='section'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='spec.ext' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.ext.html#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='spec.ext-1.sentence-1' class='sentence'>The specification of the mp-units library subsumes
</div></div></div></div><div id='spec' class='section'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><div id='spec.ext' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.ext]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.ext.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L76'>#</a></div><div class='texpara'><div id='spec.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='#spec.ext-1.sentence-1'>.</a></div> <div id='spec.ext-note-1' class='note'><div class='texpara'>[<i>Note&nbsp;<a href='#spec.ext-note-1'>1</a></i>:&ensp;<div id='spec.ext-1.sentence-2' class='sentence'>This means that, non exhaustively,
<ul class='itemize'><li id='spec.ext-1.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#spec.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='spec.ext-1.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#spec.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='#spec.ext-1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.ext.html#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='spec.ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#spec.ext-2.sentence-1'>.</a></div></div></div></div><div id='spec.cats' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.cats.html#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='spec.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='#spec.ext-1.sentence-2'>.</a></li></ul></div> —&nbsp;<i>end note</i>]</div></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.ext.html#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L91'>#</a></div><div class='texpara'><div id='spec.ext-2.sentence-1' class='sentence'>The mp-units library is not part of the C++ implementation<a class='hidden_link' href='#spec.ext-2.sentence-1'>.</a></div></div></div></div><div id='spec.cats' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.cats]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.cats.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L96'>#</a></div><div class='texpara'><div id='spec.cats-1.sentence-1' class='sentence'>Detailed specifications for each of the components in the library are in
<a href='#qties' title='5&emsp;Quantities library'>[qties]</a>–<a href='#qties' 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='#spec.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' 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'><div class='marginalizedparent'><a class='marginalized' href='spec.cats.html#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='spec.cats-2.sentence-1' class='sentence'>The quantities library (<a href='#qties' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#spec.cats-2.sentence-1'>.</a></div></div></div></div><div id='spec.mods' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.mods.html#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='spec.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='#spec.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' 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'><div class='marginalizedparent'><a class='marginalized' href='spec.cats.html#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L108'>#</a></div><div class='texpara'><div id='spec.cats-2.sentence-1' class='sentence'>The quantities library (<a href='#qties' title='5&emsp;Quantities library'>[qties]</a>)
describes components for dealing with quantities<a class='hidden_link' href='#spec.cats-2.sentence-1'>.</a></div></div></div></div><div id='spec.mods' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.mods]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='spec.mods.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L114'>#</a></div><div class='texpara'><div id='spec.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='#spec.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='spec.reqs' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' 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'><div class='marginalizedparent'><a class='marginalized' href='spec.res.names.html#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></div><div id='qties' class='section'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><div id='qties.summary' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.summary]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qties.summary.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsb77aa52355715d292a0fc15e3b3084281f01f844/source/quantities.tex#L6'>#</a></div><div class='texpara'><div id='qties.summary-1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
shown in Table <a href='#tab:modules' title='Table 2: mp-units modules'>2</a><a class='hidden_link' href='#spec.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='spec.reqs' class='section'><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.reqs]</a></h2><div id='spec.res.names' class='section'><h3 ><a class='secnum' 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'><div class='marginalizedparent'><a class='marginalized' href='spec.res.names.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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></div><div id='qties' class='section'><h1 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='abbr_ref' href='index.html#qties'>[qties]</a></h1><div id='qties.summary' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.summary]</a></h2><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qties.summary.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L6'>#</a></div><div class='texpara'><div id='qties.summary-1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
as summarized in Table <a href='#tab:qties.summary' title='Table 3: Quantities library summary'>3</a><a class='hidden_link' href='#qties.summary-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:qties.summary'>Table <a href='#tab:qties.summary'>3</a>: Quantities library summary&emsp;<a href='./tab:qties.summary.html'>[tab:qties.summary]</a><br><table ><tr id='tab:qties.summary-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-1'>🔗</a></div></td><td class='empty left'></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-2-sentence-1' class='sentence'><b>Subclause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-3-sentence-1' class='sentence'><b>Module</b></div></div></td></tr><tr id='tab:qties.summary-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-1-sentence-1' class='sentence'><a href='#qty.helpers' title='5.5&emsp;Helpers'>[qty.<span class='shy'></span>helpers]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-2-sentence-1' class='sentence'>Helpers</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td></tr><tr id='tab:qties.summary-row-3'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-3'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-1-sentence-1' class='sentence'><a href='#qty.traits' title='5.6&emsp;Traits'>[qty.<span class='shy'></span>traits]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-2-sentence-1' class='sentence'>Traits</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-4'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-4'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-1-sentence-1' class='sentence'><a href='#qty.concepts' title='5.7&emsp;Concepts'>[qty.<span class='shy'></span>concepts]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-2-sentence-1' class='sentence'>Concepts</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-5'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-5'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-1-sentence-1' class='sentence'><a href='#qty.types' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-2-sentence-1' class='sentence'>Types</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-6'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-6'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-1-sentence-1' class='sentence'><a href='#qty.compat' title='5.9&emsp;Compatibility'>[qty.<span class='shy'></span>compat]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-2-sentence-1' class='sentence'>Compatibility</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-7'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-7'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-1-sentence-1' class='sentence'><a href='#qty.one' title='5.10&emsp;Dimension one'>[qty.<span class='shy'></span>one]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-2-sentence-1' class='sentence'>Dimension one</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-8' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-8'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-1-sentence-1' class='sentence'><a href='#qty.systems' title='5.11&emsp;Systems'>[qty.<span class='shy'></span>systems]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-2-sentence-1' class='sentence'>Systems</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<Line truncated
<span class='keyword'>export</span> <span class='keyword'>import</span> mp_units<span class='operator'>.</span>core;
@@ -109,7 +109,7 @@ as summarized in Table <a href='#tab:qties.summary' title='Table 3: Quantities l
<span class='curlybracket'>}</span>
</span></span></div></div><div id='qty.helpers' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.helpers]</a></h2><div class='texpara'><div class='itemdecl' id='qty.helpers-itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#qty.helpers-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'><div class='marginalizedparent'><a class='marginalized' href='qty.helpers.html#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='qty.helpers-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='#qty.helpers-1.sentence-1'>.</a></div></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.helpers.html#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='qty.helpers-2.sentence-1' class='sentence'><i >Returns</i>: <span class='texttt'><span class='literal'>true</span></span> if
</code></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.helpers.html#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='qty.helpers-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='#qty.helpers-1.sentence-1'>.</a></div></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.helpers.html#2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='qty.helpers-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='#qty.helpers-2.sentence-1'>.</a></div></div></div></div></div><div id='qty.traits' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.traits]</a></h2><div class='texpara'><div class='itemdecl' id='qty.traits-itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#qty.traits-itemdecl:1'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> Rep<span class='anglebracket'>&gt;</span>
@@ -121,7 +121,7 @@ that is a specialization of <span class='texttt'><span class='squarebracket'>[</
<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'><div class='marginalizedparent'><a class='marginalized' href='qty.traits.html#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='qty.traits-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' title='4.1&emsp;External'>[spec.<span class='shy'></span>ext]</a>),
</code></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.traits.html#1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='qty.traits-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' 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
@@ -145,12 +145,12 @@ and <span class='texttt'><span class='literal'>false</span></span> for types whi
<a class='index' id='conceptref:named-quantity-spec'></a><span class='texttt'><i >named-quantity-spec</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span>
detail<span class='operator'>::</span>IntermediateDerivedQuantitySpec<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span>
template_of<span class='parenthesis'>(</span><span class='operator'>^</span>T<span class='parenthesis'>)</span> <span class='operator'>=</span><span class='operator'>=</span> <span class='operator'>^</span>kind_of;
</code></div></div></div><div id='qty.types' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html'>[qty.types]</a></h2><div id='qty.types.general' class='section'><h3 ><a class='secnum' 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'><div class='marginalizedparent'><a class='marginalized' href='qty.types.general.html#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='qty.types.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>
</code></div></div></div><div id='qty.types' class='section'><h2 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html'>[qty.types]</a></h2><div id='qty.types.general' class='section'><h3 ><a class='secnum' 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'><div class='marginalizedparent'><a class='marginalized' href='qty.types.general.html#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='qty.types.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='#qty.types.general-1.sentence-1'>.</a></div> <div id='qty.types.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='#qty.types.general-1.sentence-2'>.</a></div> <div id='qty.types.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='#qty.types.general-1.sentence-3'>.</a></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.types.general.html#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='qty.types.general-2.sentence-1' class='sentence'>Each class template defined in subclause <a href='#qty.types' 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='#qty.types.general-1.sentence-3'>.</a></div></div></div><div class='para'><div class='marginalizedparent'><a class='marginalized' href='qty.types.general.html#2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='qty.types.general-2.sentence-1' class='sentence'>Each class template defined in subclause <a href='#qty.types' 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='#qty.types.general-2.sentence-1'>.</a></div></div></div></div><div id='qty.type' class='section'><h3 ><a class='secnum' 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>
HEAD/api_reference/gen/fulltoc.html
+1 -1
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@@ -11,4 +11,4 @@ h4 { margin: 0.1em 5pt 0.1em 5pt; border-bottom: 1px dashed rgba(0, 0, 0, 0.2);
h3 { border-bottom-color: #b0b0b05a; }
h4 { border-bottom-color: #b0b0b05a; }
}
</style></head><body><div class='wrapper'><h1 style='text-align:center; hyphens:none; margin: 1cm'>mp-units Library Reference Documentations</h1><div class='tocHeader'>(Generated on 2024-11-24 from the <a href='https://github.com/mpusz/mp-unitsb77aa52355715d292a0fc15e3b3084281f01f844'>LaTeX sources</a> by <a href='https://github.com/Eelis/cxxdraft-htmlgen'>cxxdraft-htmlgen</a>. This is <em>not</em> an ISO publication.)<br><br><b>Note: this is an early draft. It's known to be incomplet and incorrekt, and it has lots of b<span style='position:relative;left:-1.2pt'>a</span><span style='position:relative;left:1pt'>d</span> for<span style='position:relative;left:-3pt'>matti<span style='position:relative;bottom:0.15ex'>n</span>g.</span></b></div><br><h1>Contents</h1><div id='scope'><h2 ><a class='secnum' href='#scope' style='min-width:50pt'>1</a> Scope <a class='folded_abbr_ref' href='scope.html'>[scope]</a></h2><div class='tocChapter'></div></div><div id='refs'><h2 ><a class='secnum' href='#refs' style='min-width:50pt'>2</a> References <a class='folded_abbr_ref' href='refs.html'>[refs]</a></h2><div class='tocChapter'></div></div><div id='defs'><h2 ><a class='secnum' href='#defs' style='min-width:50pt'>3</a> Terms and definitions <a class='folded_abbr_ref' href='defs.html'>[defs]</a></h2><div class='tocChapter'></div></div><div id='spec'><h2 ><a class='secnum' href='#spec' style='min-width:50pt'>4</a> Specification <a class='folded_abbr_ref' href='spec.html'>[spec]</a></h2><div class='tocChapter'><div id='spec.ext'><h3 ><a class='secnum' href='#spec.ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.<span class='shy'></span>ext]</a><div style='clear:right'></div></h3></div><div id='spec.cats'><h3 ><a class='secnum' href='#spec.cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.<span class='shy'></span>cats]</a><div style='clear:right'></div></h3></div><div id='spec.mods'><h3 ><a class='secnum' href='#spec.mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.<span class='shy'></span>mods]</a><div style='clear:right'></div></h3></div><div id='spec.reqs'><h3 ><a class='secnum' href='#spec.reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.<span class='shy'></span>reqs]</a><div style='clear:right'></div></h3><div id='spec.res.names'><h4 ><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.<span class='shy'></span>res.<span class='shy'></span>names]</a><div style='clear:right'></div></h4></div></div></div></div><div id='qties'><h2 ><a class='secnum' href='#qties' style='min-width:50pt'>5</a> Quantities library <a class='folded_abbr_ref' href='qties.html'>[qties]</a></h2><div class='tocChapter'><div id='qties.summary'><h3 ><a class='secnum' href='#qties.summary' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.<span class='shy'></span>summary]</a><div style='clear:right'></div></h3></div><div id='mp.units.syn'><h3 ><a class='secnum' href='#mp.units.syn' style='min-width:65pt'>5.2</a> Module <span class='texttt'>mp_<span class='shy'></span>units</span> synopsis <a class='abbr_ref' href='mp.units.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.core.syn'><h3 ><a class='secnum' href='#mp.units.core.syn' style='min-width:65pt'>5.3</a> Module <span class='texttt'>mp_<span class='shy'></span>units.core</span> synopsis <a class='abbr_ref' href='mp.units.core.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>core.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.systems.syn'><h3 ><a class='secnum' href='#mp.units.systems.syn' style='min-width:65pt'>5.4</a> Module <span class='texttt'>mp_<span class='shy'></span>units.systems</span> synopsis <a class='abbr_ref' href='mp.units.systems.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>systems.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='qty.helpers'><h3 ><a class='secnum' href='#qty.helpers' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.<span class='shy'></span>helpers]</a><div style='clear:right'></div></h3></div><div id='qty.traits'><h3 ><a class='secnum' href='#qty.traits' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.<span class='shy'></span>traits]</a><div style='clear:right'></div></h3></div><div id='qty.concepts'><h3 ><a class='secnum' href='#qty.concepts' style='min-width:65pt'>5.7</a> Concepts <a class='abbr_ref' href='qty.concepts.html'>[qty.<span class='shy'></span>concepts]</a><div style='clear:right'></div></h3></div><div id='qty.types'><h3 ><a class='secnum' href='Line truncated
</style></head><body><div class='wrapper'><h1 style='text-align:center; hyphens:none; margin: 1cm'>mp-units Library Reference Documentations</h1><div class='tocHeader'>(Generated on 2024-11-28 from the <a href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99'>LaTeX sources</a> by <a href='https://github.com/Eelis/cxxdraft-htmlgen'>cxxdraft-htmlgen</a>. This is <em>not</em> an ISO publication.)<br><br><b>Note: this is an early draft. It's known to be incomplet and incorrekt, and it has lots of b<span style='position:relative;left:-1.2pt'>a</span><span style='position:relative;left:1pt'>d</span> for<span style='position:relative;left:-3pt'>matti<span style='position:relative;bottom:0.15ex'>n</span>g.</span></b></div><br><h1>Contents</h1><div id='scope'><h2 ><a class='secnum' href='#scope' style='min-width:50pt'>1</a> Scope <a class='folded_abbr_ref' href='scope.html'>[scope]</a></h2><div class='tocChapter'></div></div><div id='refs'><h2 ><a class='secnum' href='#refs' style='min-width:50pt'>2</a> References <a class='folded_abbr_ref' href='refs.html'>[refs]</a></h2><div class='tocChapter'></div></div><div id='defs'><h2 ><a class='secnum' href='#defs' style='min-width:50pt'>3</a> Terms and definitions <a class='folded_abbr_ref' href='defs.html'>[defs]</a></h2><div class='tocChapter'></div></div><div id='spec'><h2 ><a class='secnum' href='#spec' style='min-width:50pt'>4</a> Specification <a class='folded_abbr_ref' href='spec.html'>[spec]</a></h2><div class='tocChapter'><div id='spec.ext'><h3 ><a class='secnum' href='#spec.ext' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.<span class='shy'></span>ext]</a><div style='clear:right'></div></h3></div><div id='spec.cats'><h3 ><a class='secnum' href='#spec.cats' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.<span class='shy'></span>cats]</a><div style='clear:right'></div></h3></div><div id='spec.mods'><h3 ><a class='secnum' href='#spec.mods' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.<span class='shy'></span>mods]</a><div style='clear:right'></div></h3></div><div id='spec.reqs'><h3 ><a class='secnum' href='#spec.reqs' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.<span class='shy'></span>reqs]</a><div style='clear:right'></div></h3><div id='spec.res.names'><h4 ><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.<span class='shy'></span>res.<span class='shy'></span>names]</a><div style='clear:right'></div></h4></div></div></div></div><div id='qties'><h2 ><a class='secnum' href='#qties' style='min-width:50pt'>5</a> Quantities library <a class='folded_abbr_ref' href='qties.html'>[qties]</a></h2><div class='tocChapter'><div id='qties.summary'><h3 ><a class='secnum' href='#qties.summary' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.<span class='shy'></span>summary]</a><div style='clear:right'></div></h3></div><div id='mp.units.syn'><h3 ><a class='secnum' href='#mp.units.syn' style='min-width:65pt'>5.2</a> Module <span class='texttt'>mp_<span class='shy'></span>units</span> synopsis <a class='abbr_ref' href='mp.units.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.core.syn'><h3 ><a class='secnum' href='#mp.units.core.syn' style='min-width:65pt'>5.3</a> Module <span class='texttt'>mp_<span class='shy'></span>units.core</span> synopsis <a class='abbr_ref' href='mp.units.core.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>core.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.systems.syn'><h3 ><a class='secnum' href='#mp.units.systems.syn' style='min-width:65pt'>5.4</a> Module <span class='texttt'>mp_<span class='shy'></span>units.systems</span> synopsis <a class='abbr_ref' href='mp.units.systems.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>systems.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='qty.helpers'><h3 ><a class='secnum' href='#qty.helpers' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.<span class='shy'></span>helpers]</a><div style='clear:right'></div></h3></div><div id='qty.traits'><h3 ><a class='secnum' href='#qty.traits' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.<span class='shy'></span>traits]</a><div style='clear:right'></div></h3></div><div id='qty.concepts'><h3 ><a class='secnum' href='#qty.concepts' style='min-width:65pt'>5.7</a> Concepts <a class='abbr_ref' href='qty.concepts.html'>[qty.<span class='shy'></span>concepts]</a><div style='clear:right'></div></h3></div><div id='qty.types'><h3 ><a class='secnum' href='Line truncated
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</style></head><body><div class='wrapper'><h1 style='text-align:center; hyphens:none; margin: 1cm'>mp-units Library Reference Documentations</h1><div class='tocHeader'>(Generated on 2024-11-24 from the <a href='https://github.com/mpusz/mp-unitsb77aa52355715d292a0fc15e3b3084281f01f844'>LaTeX sources</a> by <a href='https://github.com/Eelis/cxxdraft-htmlgen'>cxxdraft-htmlgen</a>. This is <em>not</em> an ISO publication.)<br><br><b>Note: this is an early draft. It's known to be incomplet and incorrekt, and it has lots of b<span style='position:relative;left:-1.2pt'>a</span><span style='position:relative;left:1pt'>d</span> for<span style='position:relative;left:-3pt'>matti<span style='position:relative;bottom:0.15ex'>n</span>g.</span></b></div><br><h1>Contents</h1><div id='scope'><h2 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='folded_abbr_ref' href='scope.html'>[scope]</a><a class='unfolded_abbr_ref' href='scope.html'>[scope]</a></h2><div class='tocChapter'></div></div><div id='refs'><h2 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='folded_abbr_ref' href='refs.html'>[refs]</a><a class='unfolded_abbr_ref' href='refs.html'>[refs]</a></h2><div class='tocChapter'></div></div><div id='defs'><h2 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='folded_abbr_ref' href='defs.html'>[defs]</a><a class='unfolded_abbr_ref' href='defs.html'>[defs]</a></h2><div class='tocChapter'></div></div><div id='spec'><h2 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='folded_abbr_ref' href='#spec'>[spec]</a><a class='unfolded_abbr_ref' href='spec.html'>[spec]</a></h2><div class='tocChapter'><div id='spec.ext'><h3 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.<span class='shy'></span>ext]</a><div style='clear:right'></div></h3></div><div id='spec.cats'><h3 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.<span class='shy'></span>cats]</a><div style='clear:right'></div></h3></div><div id='spec.mods'><h3 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.<span class='shy'></span>mods]</a><div style='clear:right'></div></h3></div><div id='spec.reqs'><h3 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.<span class='shy'></span>reqs]</a><div style='clear:right'></div></h3><div id='spec.res.names'><h4 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.<span class='shy'></span>res.<span class='shy'></span>names]</a><div style='clear:right'></div></h4></div></div></div></div><div id='qties'><h2 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='folded_abbr_ref' href='#qties'>[qties]</a><a class='unfolded_abbr_ref' href='qties.html'>[qties]</a></h2><div class='tocChapter'><div id='qties.summary'><h3 ><a class='secnum' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.<span class='shy'></span>summary]</a><div style='clear:right'></div></h3></div><div id='mp.units.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.2</a> Module <span class='texttt'>mp_<span class='shy'></span>units</span> synopsis <a class='abbr_ref' href='mp.units.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.core.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.3</a> Module <span class='texttt'>mp_<span class='shy'></span>units.core</span> synopsis <a class='abbr_ref' href='mp.units.core.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>core.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.systems.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.4</a> Module <span class='texttt'>mp_<span class='shy'></span>units.systems</span> synopsis <a class='abbr_ref' href='mp.units.systems.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>systems.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='qty.helpers'><h3 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.<span class='shy'></span>helpers]</a><div style='clear:right'></div></h3></div><div id='qty.traits'><h3 ><a class='secnum' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.<span class='shy'></span>traits]</a><div style='clear:right'></div></h3></div><div id='qty.concepts'><h3 ><a class='secnum' style='min-width:65pt'>5.7</a> Concepts <a class='abbr_ref' href='qty.concepts.html'>[qty.<span class='shy'></span>concepts]</a><div style='clear:right'></div></h3></div><div id='qty.types'><h3 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abLine truncated
</style></head><body><div class='wrapper'><h1 style='text-align:center; hyphens:none; margin: 1cm'>mp-units Library Reference Documentations</h1><div class='tocHeader'>(Generated on 2024-11-28 from the <a href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99'>LaTeX sources</a> by <a href='https://github.com/Eelis/cxxdraft-htmlgen'>cxxdraft-htmlgen</a>. This is <em>not</em> an ISO publication.)<br><br><b>Note: this is an early draft. It's known to be incomplet and incorrekt, and it has lots of b<span style='position:relative;left:-1.2pt'>a</span><span style='position:relative;left:1pt'>d</span> for<span style='position:relative;left:-3pt'>matti<span style='position:relative;bottom:0.15ex'>n</span>g.</span></b></div><br><h1>Contents</h1><div id='scope'><h2 ><a class='secnum' style='min-width:50pt'>1</a> Scope <a class='folded_abbr_ref' href='scope.html'>[scope]</a><a class='unfolded_abbr_ref' href='scope.html'>[scope]</a></h2><div class='tocChapter'></div></div><div id='refs'><h2 ><a class='secnum' style='min-width:50pt'>2</a> References <a class='folded_abbr_ref' href='refs.html'>[refs]</a><a class='unfolded_abbr_ref' href='refs.html'>[refs]</a></h2><div class='tocChapter'></div></div><div id='defs'><h2 ><a class='secnum' style='min-width:50pt'>3</a> Terms and definitions <a class='folded_abbr_ref' href='defs.html'>[defs]</a><a class='unfolded_abbr_ref' href='defs.html'>[defs]</a></h2><div class='tocChapter'></div></div><div id='spec'><h2 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='folded_abbr_ref' href='#spec'>[spec]</a><a class='unfolded_abbr_ref' href='spec.html'>[spec]</a></h2><div class='tocChapter'><div id='spec.ext'><h3 ><a class='secnum' style='min-width:65pt'>4.1</a> External <a class='abbr_ref' href='spec.ext.html'>[spec.<span class='shy'></span>ext]</a><div style='clear:right'></div></h3></div><div id='spec.cats'><h3 ><a class='secnum' style='min-width:65pt'>4.2</a> Categories <a class='abbr_ref' href='spec.cats.html'>[spec.<span class='shy'></span>cats]</a><div style='clear:right'></div></h3></div><div id='spec.mods'><h3 ><a class='secnum' style='min-width:65pt'>4.3</a> Modules <a class='abbr_ref' href='spec.mods.html'>[spec.<span class='shy'></span>mods]</a><div style='clear:right'></div></h3></div><div id='spec.reqs'><h3 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html'>[spec.<span class='shy'></span>reqs]</a><div style='clear:right'></div></h3><div id='spec.res.names'><h4 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref' href='spec.res.names.html'>[spec.<span class='shy'></span>res.<span class='shy'></span>names]</a><div style='clear:right'></div></h4></div></div></div></div><div id='qties'><h2 ><a class='secnum' style='min-width:50pt'>5</a> Quantities library <a class='folded_abbr_ref' href='#qties'>[qties]</a><a class='unfolded_abbr_ref' href='qties.html'>[qties]</a></h2><div class='tocChapter'><div id='qties.summary'><h3 ><a class='secnum' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.<span class='shy'></span>summary]</a><div style='clear:right'></div></h3></div><div id='mp.units.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.2</a> Module <span class='texttt'>mp_<span class='shy'></span>units</span> synopsis <a class='abbr_ref' href='mp.units.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.core.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.3</a> Module <span class='texttt'>mp_<span class='shy'></span>units.core</span> synopsis <a class='abbr_ref' href='mp.units.core.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>core.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='mp.units.systems.syn'><h3 ><a class='secnum' style='min-width:65pt'>5.4</a> Module <span class='texttt'>mp_<span class='shy'></span>units.systems</span> synopsis <a class='abbr_ref' href='mp.units.systems.syn.html'>[mp.<span class='shy'></span>units.<span class='shy'></span>systems.<span class='shy'></span>syn]</a><div style='clear:right'></div></h3></div><div id='qty.helpers'><h3 ><a class='secnum' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.<span class='shy'></span>helpers]</a><div style='clear:right'></div></h3></div><div id='qty.traits'><h3 ><a class='secnum' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.<span class='shy'></span>traits]</a><div style='clear:right'></div></h3></div><div id='qty.concepts'><h3 ><a class='secnum' style='min-width:65pt'>5.7</a> Concepts <a class='abbr_ref' href='qty.concepts.html'>[qty.<span class='shy'></span>concepts]</a><div style='clear:right'></div></h3></div><div id='qty.types'><h3 ><a class='secnum' style='min-width:65pt'>5.8</a> Types <a class='abLine truncated
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<!DOCTYPE html><html lang='en'><head><title>[qties]</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><div id='summary' class='section'><h2 ><a class='secnum' href='#summary' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.summary]</a></h2><div class='para' id='summary-1'><div class='marginalizedparent'><a class='marginalized' href='#summary-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsb77aa52355715d292a0fc15e3b3084281f01f844/source/quantities.tex#L6'>#</a></div><div class='texpara'><div id='summary-1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
<!DOCTYPE html><html lang='en'><head><title>[qties]</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><div id='summary' class='section'><h2 ><a class='secnum' href='#summary' style='min-width:65pt'>5.1</a> Summary <a class='abbr_ref' href='qties.summary.html'>[qties.summary]</a></h2><div class='para' id='summary-1'><div class='marginalizedparent'><a class='marginalized' href='#summary-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L6'>#</a></div><div class='texpara'><div id='summary-1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
as summarized in Table <a href='#tab:qties.summary' title='Table 3: Quantities library summary'>3</a><a class='hidden_link' href='#summary-1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:qties.summary'>Table <a href='#tab:qties.summary'>3</a>: Quantities library summary&emsp;<a href='./tab:qties.summary.html'>[tab:qties.summary]</a><br><table ><tr id='tab:qties.summary-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-1'>🔗</a></div></td><td class='empty left'></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-2-sentence-1' class='sentence'><b>Subclause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-3-sentence-1' class='sentence'><b>Module</b></div></div></td></tr><tr id='tab:qties.summary-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-1-sentence-1' class='sentence'><a href='#qty.helpers' title='5.5&emsp;Helpers'>[qty.<span class='shy'></span>helpers]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-2-sentence-1' class='sentence'>Helpers</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td></tr><tr id='tab:qties.summary-row-3'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-3'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-1-sentence-1' class='sentence'><a href='#qty.traits' title='5.6&emsp;Traits'>[qty.<span class='shy'></span>traits]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-2-sentence-1' class='sentence'>Traits</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-4'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-4'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-1-sentence-1' class='sentence'><a href='#qty.concepts' title='5.7&emsp;Concepts'>[qty.<span class='shy'></span>concepts]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-2-sentence-1' class='sentence'>Concepts</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-5'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-5'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-1-sentence-1' class='sentence'><a href='#qty.types' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-2-sentence-1' class='sentence'>Types</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-6'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-6'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-1-sentence-1' class='sentence'><a href='#qty.compat' title='5.9&emsp;Compatibility'>[qty.<span class='shy'></span>compat]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-2-sentence-1' class='sentence'>Compatibility</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-7'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-7'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-1-sentence-1' class='sentence'><a href='#qty.one' title='5.10&emsp;Dimension one'>[qty.<span class='shy'></span>one]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-2-sentence-1' class='sentence'>Dimension one</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-8' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-8'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-1-sentence-1' class='sentence'><a href='#qty.systems' title='5.11&emsp;Systems'>[qty.<span class='shy'></span>systems]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-2-sentence-1' class='sentence'>Systems</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span cLine truncated
<span class='keyword'>export</span> <span class='keyword'>import</span> mp_units<span class='operator'>.</span>core;
@@ -79,7 +79,7 @@ as summarized in Table <a href='#tab:qties.summary' title='Table 3: Quantities l
<span class='curlybracket'>}</span>
</span></span></div></div><div id='qty.helpers' class='section'><h2 ><a class='secnum' href='#qty.helpers' style='min-width:65pt'>5.5</a> Helpers <a class='abbr_ref' href='qty.helpers.html'>[qty.helpers]</a></h2><div class='texpara'><div class='itemdecl' id='qty.helpers-itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#qty.helpers-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='qty.helpers-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.helpers-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='qty.helpers-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='#qty.helpers-1.sentence-1'>.</a></div></div></div></div><div class='para' id='qty.helpers-2'><div class='marginalizedparent'><a class='marginalized' href='#qty.helpers-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='qty.helpers-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='qty.helpers-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.helpers-1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L122'>#</a></div><div class='texpara'><div id='qty.helpers-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='#qty.helpers-1.sentence-1'>.</a></div></div></div></div><div class='para' id='qty.helpers-2'><div class='marginalizedparent'><a class='marginalized' href='#qty.helpers-2'>2</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L126'>#</a></div><div class='texpara'><div id='qty.helpers-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='#qty.helpers-2.sentence-1'>.</a></div></div></div></div></div><div id='qty.traits' class='section'><h2 ><a class='secnum' href='#qty.traits' style='min-width:65pt'>5.6</a> Traits <a class='abbr_ref' href='qty.traits.html'>[qty.traits]</a></h2><div class='texpara'><div class='itemdecl' id='qty.traits-itemdecl:1'><div class='marginalizedparent'><a class='itemDeclLink' href='#qty.traits-itemdecl:1'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> Rep<span class='anglebracket'>&gt;</span>
@@ -91,7 +91,7 @@ that is a specialization of <span class='texttt'><span class='squarebracket'>[</
<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='qty.traits-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.traits-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='qty.traits-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='qty.traits-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.traits-1'>1</a></div><div class='itemdescr'><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L149'>#</a></div><div class='texpara'><div id='qty.traits-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
@@ -115,12 +115,12 @@ and <span class='texttt'><span class='literal'>false</span></span> for types whi
<a class='index' id='conceptref:named-quantity-spec'></a><span class='texttt'><i >named-quantity-spec</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span>
detail<span class='operator'>::</span>IntermediateDerivedQuantitySpec<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span>
template_of<span class='parenthesis'>(</span><span class='operator'>^</span>T<span class='parenthesis'>)</span> <span class='operator'>=</span><span class='operator'>=</span> <span class='operator'>^</span>kind_of;
</code></div></div></div><div id='qty.types' class='section'><h2 ><a class='secnum' href='#qty.types' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html'>[qty.types]</a></h2><div id='qty.types.general' class='section'><h3 ><a class='secnum' href='#qty.types.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='qty.types.general-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.types.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='qty.types.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>
</code></div></div></div><div id='qty.types' class='section'><h2 ><a class='secnum' href='#qty.types' style='min-width:65pt'>5.8</a> Types <a class='abbr_ref' href='qty.types.html'>[qty.types]</a></h2><div id='qty.types.general' class='section'><h3 ><a class='secnum' href='#qty.types.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='qty.types.general-1'><div class='marginalizedparent'><a class='marginalized' href='#qty.types.general-1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L196'>#</a></div><div class='texpara'><div id='qty.types.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='#qty.types.general-1.sentence-1'>.</a></div> <div id='qty.types.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='#qty.types.general-1.sentence-2'>.</a></div> <div id='qty.types.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='#qty.types.general-1.sentence-3'>.</a></div></div></div><div class='para' id='qty.types.general-2'><div class='marginalizedparent'><a class='marginalized' href='#qty.types.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='qty.types.general-2.sentence-1' class='sentence'>Each class template defined in subclause <a href='#qty.types' 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='#qty.types.general-1.sentence-3'>.</a></div></div></div><div class='para' id='qty.types.general-2'><div class='marginalizedparent'><a class='marginalized' href='#qty.types.general-2'>2</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L206'>#</a></div><div class='texpara'><div id='qty.types.general-2.sentence-1' class='sentence'>Each class template defined in subclause <a href='#qty.types' 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='#qty.types.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>
HEAD/api_reference/gen/qties.summary.html
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@@ -1,2 +1,2 @@
<!DOCTYPE html><html lang='en'><head><title>[qties.summary]</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'>5.1</a> Summary <a class='abbr_ref'>[qties.summary]</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/quantities.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
<!DOCTYPE html><html lang='en'><head><title>[qties.summary]</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'>5.1</a> Summary <a class='abbr_ref'>[qties.summary]</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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/quantities.tex#L6'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>This Clause describes components for dealing with quantities,
as summarized in Table <a href='#tab:qties.summary' title='Table 3: Quantities library summary'>3</a><a class='hidden_link' href='#1.sentence-1'>.</a></div></div><div class='texpara'><div class='numberedTable' id='tab:qties.summary'>Table <a href='#tab:qties.summary'>3</a>: Quantities library summary&emsp;<a href='./tab:qties.summary.html'>[tab:qties.summary]</a><br><table ><tr id='tab:qties.summary-row-1' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-1'>🔗</a></div></td><td class='empty left'></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-2-sentence-1' class='sentence'><b>Subclause</b></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-1-column-3-sentence-1' class='sentence'><b>Module</b></div></div></td></tr><tr id='tab:qties.summary-row-2' class='capsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-2'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-1-sentence-1' class='sentence'><a href='qty.helpers.html' title='5.5&emsp;Helpers'>[qty.<span class='shy'></span>helpers]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-2-sentence-1' class='sentence'>Helpers</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-2-column-3-sentence-1' class='sentence'><span class='texttt'>mp_<span class='shy'></span>units<span class='operator'>.</span>core</span></div></div></td></tr><tr id='tab:qties.summary-row-3'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-3'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-1-sentence-1' class='sentence'><a href='qty.traits.html' title='5.6&emsp;Traits'>[qty.<span class='shy'></span>traits]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-3-column-2-sentence-1' class='sentence'>Traits</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-4'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-4'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-1-sentence-1' class='sentence'><a href='qty.concepts.html' title='5.7&emsp;Concepts'>[qty.<span class='shy'></span>concepts]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-4-column-2-sentence-1' class='sentence'>Concepts</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-5'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-5'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-1-sentence-1' class='sentence'><a href='qty.types.html' title='5.8&emsp;Types'>[qty.<span class='shy'></span>types]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-5-column-2-sentence-1' class='sentence'>Types</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-6'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-6'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-1-sentence-1' class='sentence'><a href='qty.compat.html' title='5.9&emsp;Compatibility'>[qty.<span class='shy'></span>compat]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-6-column-2-sentence-1' class='sentence'>Compatibility</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-7'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-7'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-1-sentence-1' class='sentence'><a href='qty.one.html' title='5.10&emsp;Dimension one'>[qty.<span class='shy'></span>one]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-7-column-2-sentence-1' class='sentence'>Dimension one</div></div></td><td class='empty left'></td></tr><tr id='tab:qties.summary-row-8' class='rowsep'><td class='hidden'><div class='marginalizedparent'><a class='itemDeclLink' href='#tab:qties.summary-row-8'>🔗</a></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-1-sentence-1' class='sentence'><a href='qty.systems.html' title='5.11&emsp;Systems'>[qty.<span class='shy'></span>systems]</a></div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-2-sentence-1' class='sentence'>Systems</div></div></td><td class='left'><div class='texpara'><div id='tab:qties.summary-row-8-column-3-sentence-1' class='sentence'><span classLine truncated
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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-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
</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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>),
</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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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]
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>)
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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>
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-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
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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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>
HEAD/api_reference/gen/spec.reqs.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-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
<!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-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/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>
HEAD/api_reference/gen/spec.res.names.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-unitsb77aa52355715d292a0fc15e3b3084281f01f844/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<!DOCTYPE html><html lang='en'><head><title>[spec.res.names]</title><meta charset='UTF-8'/><link rel='stylesheet' type='text/css' href='14882.css'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Serif'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans'/><link rel='stylesheet' type='text/css' href='https://fonts.googleapis.com/css2?family=Noto+Sans+Mono'/><link rel='icon' href='icon.png'/><link rel='stylesheet' type='text/css' href='expanded.css' title='Normal'/><link rel='alternate stylesheet' type='text/css' href='colored.css' title='Notes and examples colored'/><link rel='alternate stylesheet' type='text/css' href='normative-only.css' title='Notes and examples hidden'/></head><body><div class='wrapper'><h1 ><a class='secnum' style='min-width:50pt'>4</a> Specification <a class='abbr_ref' href='index.html#spec'>[spec]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>4.4</a> Library-wide requirements <a class='abbr_ref' href='spec.reqs.html#spec.res.names'>[spec.reqs]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>4.4.1</a> Reserved names <a class='abbr_ref'>[spec.res.names]</a></h3><div class='para' id='1'><div class='marginalizedparent'><a class='marginalized' href='#1'>1</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitsa223c08a39ff583a87898c926c9a6d712f8b5f99/source/intro.tex#L132'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>The mp-units library reserves macro names that start with
<span class='texttt'>MP_<span class='shy'></span>UNITS<span class='textsf'><i >digit-sequence</i></span><span class="mjx-chtml"><span class="mjx-math"><span class="mjx-mrow" aria-hidden="true"><span class="mjx-msubsup"><span class="mjx-base"><span class="mjx-mi"><span class="mjx-char"></span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span class="mjx-texatom"><span class="mjx-mrow"><span class="mjx-mstyle" style="font-size: 113.1%; color: black;"><span class="mjx-mrow" style="font-size: 88.4%;"><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">o</span></span></span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.225em; padding-bottom: 0.446em;">p</span></span><span class="mjx-mi"><span class="mjx-char MJXc-TeX-main-I" style="padding-top: 0.372em; padding-bottom: 0.298em;">t</span></span></span></span></span></span></span></span></span>_<span class='shy'></span></span><a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div></div></body></html>
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HEAD/appendix/glossary/index.html
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<div class="md-source__repository">
mpusz/mp-units
@@ -2608,7 +2608,7 @@ where the exponents, named dimensional exponents, are positive, negative, or zer
<dd>
<ul>
<li>A <a href="#dimension">dimension</a> of a <a href="#derived-quantity">derived quantity</a>.</li>
<li>Implemented as an expression template being the result of the
<li>Implemented as an symbolic expression being the result of the
<a href="#dimension-equation">dimension equation</a> on <a href="#base-dimension">base dimensions</a>.</li>
</ul>
</dd>
HEAD/appendix/references/index.html
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mpusz/mp-units
@@ -426,7 +426,7 @@ You're not viewing the latest version.
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mpusz/mp-units
@@ -426,7 +426,7 @@ You're not viewing the latest version.
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mpusz/mp-units
@@ -426,7 +426,7 @@ You're not viewing the latest version.
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mpusz/mp-units
@@ -2420,7 +2420,7 @@ of components in the derived unit. Let's try the following example:</p>
</span></code></pre></div>
<p>Some users could expect to see <code>42 kWh</code> or <code>42 kW h</code> in the output. It is not the case and for
a very good reason. As stated in
<a href="../../users_guide/framework_basics/interface_introduction/#simplifying-the-resulting-expression-templates">Simplifying the resulting expression templates</a>,
<a href="../../users_guide/framework_basics/interface_introduction/#simplifying-the-resulting-symbolic-expressions">Simplifying the resulting symbolic expressions</a>,
to be able to reason about and simplify units, the library needs to order them in an appropriate
order.</p>
<p>Maybe this default order could be improved a bit, but according to international standards,
HEAD/getting_started/installation_and_usage/index.html
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mpusz/mp-units
@@ -2274,7 +2274,7 @@ errors and debugging as easy and user-friendly as possible.</p>
compile-times and the readability of error messages when compared to the traditional template
metaprogramming with <a href="https://en.cppreference.com/w/cpp/language/sfinae">SFINAE</a>,</li>
<li><a href="../../users_guide/framework_basics/interface_introduction/#strong-types-instead-of-aliases">usage of strong types for framework entities</a> (instead of type aliases),</li>
<li><a href="../../users_guide/framework_basics/interface_introduction/#expression-templates">usage of expression templates</a> to improve the readability of generated types,</li>
<li><a href="../../users_guide/framework_basics/interface_introduction/#symbolic-expressions">usage of symbolic expressions</a> to improve the readability of generated types,</li>
<li>limiting the number of template arguments to the bare minimum.</li>
</ul>
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HEAD/getting_started/look_and_feel/index.html
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mpusz/mp-units
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{"config":{"lang":["en"],"separator":"[\\s\\-]+","pipeline":["stopWordFilter"]},"docs":[{"location":"","title":"Welcome to mp-units!","text":"<p>mp-units is a compile-time enabled feature-rich Modern C++ modular/header-only library that provides compile-time dimensional analysis and unit/quantity manipulation. Its key strengths include safety, performance, and developer experience.</p> <p>The library source code is hosted on GitHub with a permissive MIT license.</p> Supported compilers <p>This library tries to provide the best user experience possible with the C++ language. To achieve that, it extensively uses the latest C++ language features.</p> <p>Even though the library benefits from the latest C++ versions (if available), C++20 is enough to compile and use all of the library's functionality.</p> <p>Please refer to C++ compiler support chapter for more details.</p> C++ modulesHeader files <pre><code>#include &lt;iostream&gt;\n#include &lt;print&gt;\nimport mp_units;\n\nusing namespace mp_units;\n\ninline constexpr struct smoot final : named_unit&lt;\"smoot\", mag&lt;67&gt; * usc::inch&gt; {} smoot;\n\nint main()\n{\n constexpr quantity dist = 364.4 * smoot;\n std::println(\"Harvard Bridge length = {::N[.1f]} ({::N[.1f]}, {::N[.2f]}) \u00b1 1 \u03b5ar\",\n dist, dist.in(usc::foot), dist.in(si::metre));\n}\n</code></pre> <pre><code>#include &lt;mp-units/format.h&gt;\n#include &lt;mp-units/systems/si.h&gt;\n#include &lt;mp-units/systems/usc.h&gt;\n#include &lt;print&gt;\n\nusing namespace mp_units;\n\ninline constexpr struct smoot final : named_unit&lt;\"smoot\", mag&lt;67&gt; * usc::inch&gt; {} smoot;\n\nint main()\n{\n constexpr quantity dist = 364.4 * smoot;\n std::println(\"Harvard Bridge length = {::N[.1f]} ({::N[.1f]}, {::N[.2f]}) \u00b1 1 \u03b5ar\",\n dist, dist.in(usc::foot), dist.in(si::metre));\n}\n</code></pre> <p>Output:</p> <pre><code>Harvard Bridge length = 364.4 smoot (2034.6 ft, 620.14 m) \u00b1 1 \u03b5ar\n</code></pre> <p>Try it on Compiler Explorer</p> What is <code>smoot</code>? <p>The smoot (/\u02c8smu\u02d0t/) is a nonstandard unit of length created as part of an MIT fraternity prank. It is named after Oliver R. Smoot, a fraternity pledge to Lambda Chi Alpha, who, in October 1958, lay on the Harvard Bridge (between Boston and Cambridge, Massachusetts) and was used by his fraternity brothers to measure the length of the bridge.</p> <p>One smoot equals Oliver Smoot's height at the time of the prank (five feet and seven inches). The bridge's length was measured to be 364.4 smoots plus or minus one ear, with the \"plus or minus\" intended to express the measurement uncertainty.</p> <p>Oliver Smoot graduated from MIT with the class of 1962, became a lawyer, and later became chairman of the American National Standards Institute (ANSI) and president of the International Organization for Standardization (ISO).</p> <p>More on the smoot unit of length can be found at https://en.wikipedia.org/wiki/Smoot.</p> <p>Important: Help needed!</p> <p>The mp-units library might be the subject of ISO standardization for C++29. More on this can be found in the following ISO C++ proposals:</p> <ul> <li>P1935: A C++ Approach to Physical Units,</li> <li>P2980: A motivation, scope, and plan for a physical quantities and units library,</li> <li>P3045: Quantities and units library.</li> </ul> <p>We are actively looking for parties interested in field-trialing the library.</p>"},{"location":"api_reference/","title":"API Reference - mp-units","text":""},{"location":"release_notes/","title":"Release Notes","text":""},{"location":"release_notes/#mp-units","title":"mp-units","text":""},{"location":"release_notes/#2.5.0","title":"2.5.0 WIP","text":""},{"location":"release_notes/#2.4.0","title":"2.4.0 November 5, 2024","text":"<ul> <li>(!) feat: <code>phase_velocity</code> and <code>group_velocity</code> aliases removed from ISQ by ISO</li> <li>feat: <code>iec::bit</code> using-declared in <code>iec::unit_symbols</code></li> <li>feat: common unit symbols now use <code>EQUIV{u1, u2, ...}</code> syntax</li> <li>feat: <code>scaled_unit</code> symbol printing improved (<code>[]</code> around the entire unit, small magnitude values do not use a power of <code>10</code> anymore)</li> <li>feat: <code>scaled_unit</code> does not have a priority over <code>derived_unit</code> anymore</li> <li>feat: fractional exponents support added to <code>mag_power</code></li> <li>feat: tag types are now required to be empty</li> <li>feat: magnitude text now obeys formatting parameters and knows how to print constants</li> <li>feat: added support for printing powers of magnitude constants</li> <li>feat: <code>SymbolicConstant</code> concept added</li> <li>feat: <code>common_unit</code> selection algorithm improved to make <code>rev + rad</code> return <code>rad</code></li> <li>feat: litre text symbol changed from <code>l</code> to <code>L</code> to avoid ambiguity with <code>1</code></li> <li>feat: alternativLine truncated
{"config":{"lang":["en"],"separator":"[\\s\\-]+","pipeline":["stopWordFilter"]},"docs":[{"location":"","title":"Welcome to mp-units!","text":"<p>mp-units is a compile-time enabled feature-rich Modern C++ modular/header-only library that provides compile-time dimensional analysis and unit/quantity manipulation. Its key strengths include safety, performance, and developer experience.</p> <p>The library source code is hosted on GitHub with a permissive MIT license.</p> Supported compilers <p>This library tries to provide the best user experience possible with the C++ language. To achieve that, it extensively uses the latest C++ language features.</p> <p>Even though the library benefits from the latest C++ versions (if available), C++20 is enough to compile and use all of the library's functionality.</p> <p>Please refer to C++ compiler support chapter for more details.</p> C++ modulesHeader files <pre><code>#include &lt;iostream&gt;\n#include &lt;print&gt;\nimport mp_units;\n\nusing namespace mp_units;\n\ninline constexpr struct smoot final : named_unit&lt;\"smoot\", mag&lt;67&gt; * usc::inch&gt; {} smoot;\n\nint main()\n{\n constexpr quantity dist = 364.4 * smoot;\n std::println(\"Harvard Bridge length = {::N[.1f]} ({::N[.1f]}, {::N[.2f]}) \u00b1 1 \u03b5ar\",\n dist, dist.in(usc::foot), dist.in(si::metre));\n}\n</code></pre> <pre><code>#include &lt;mp-units/format.h&gt;\n#include &lt;mp-units/systems/si.h&gt;\n#include &lt;mp-units/systems/usc.h&gt;\n#include &lt;print&gt;\n\nusing namespace mp_units;\n\ninline constexpr struct smoot final : named_unit&lt;\"smoot\", mag&lt;67&gt; * usc::inch&gt; {} smoot;\n\nint main()\n{\n constexpr quantity dist = 364.4 * smoot;\n std::println(\"Harvard Bridge length = {::N[.1f]} ({::N[.1f]}, {::N[.2f]}) \u00b1 1 \u03b5ar\",\n dist, dist.in(usc::foot), dist.in(si::metre));\n}\n</code></pre> <p>Output:</p> <pre><code>Harvard Bridge length = 364.4 smoot (2034.6 ft, 620.14 m) \u00b1 1 \u03b5ar\n</code></pre> <p>Try it on Compiler Explorer</p> What is <code>smoot</code>? <p>The smoot (/\u02c8smu\u02d0t/) is a nonstandard unit of length created as part of an MIT fraternity prank. It is named after Oliver R. Smoot, a fraternity pledge to Lambda Chi Alpha, who, in October 1958, lay on the Harvard Bridge (between Boston and Cambridge, Massachusetts) and was used by his fraternity brothers to measure the length of the bridge.</p> <p>One smoot equals Oliver Smoot's height at the time of the prank (five feet and seven inches). The bridge's length was measured to be 364.4 smoots plus or minus one ear, with the \"plus or minus\" intended to express the measurement uncertainty.</p> <p>Oliver Smoot graduated from MIT with the class of 1962, became a lawyer, and later became chairman of the American National Standards Institute (ANSI) and president of the International Organization for Standardization (ISO).</p> <p>More on the smoot unit of length can be found at https://en.wikipedia.org/wiki/Smoot.</p> <p>Important: Help needed!</p> <p>The mp-units library might be the subject of ISO standardization for C++29. More on this can be found in the following ISO C++ proposals:</p> <ul> <li>P1935: A C++ Approach to Physical Units,</li> <li>P2980: A motivation, scope, and plan for a physical quantities and units library,</li> <li>P3045: Quantities and units library.</li> </ul> <p>We are actively looking for parties interested in field-trialing the library.</p>"},{"location":"api_reference/","title":"API Reference - mp-units","text":""},{"location":"release_notes/","title":"Release Notes","text":""},{"location":"release_notes/#mp-units","title":"mp-units","text":""},{"location":"release_notes/#2.5.0","title":"2.5.0 WIP","text":""},{"location":"release_notes/#2.4.0","title":"2.4.0 November 5, 2024","text":"<ul> <li>(!) feat: <code>phase_velocity</code> and <code>group_velocity</code> aliases removed from ISQ by ISO</li> <li>feat: <code>iec::bit</code> using-declared in <code>iec::unit_symbols</code></li> <li>feat: common unit symbols now use <code>EQUIV{u1, u2, ...}</code> syntax</li> <li>feat: <code>scaled_unit</code> symbol printing improved (<code>[]</code> around the entire unit, small magnitude values do not use a power of <code>10</code> anymore)</li> <li>feat: <code>scaled_unit</code> does not have a priority over <code>derived_unit</code> anymore</li> <li>feat: fractional exponents support added to <code>mag_power</code></li> <li>feat: tag types are now required to be empty</li> <li>feat: magnitude text now obeys formatting parameters and knows how to print constants</li> <li>feat: added support for printing powers of magnitude constants</li> <li>feat: <code>SymbolicConstant</code> concept added</li> <li>feat: <code>common_unit</code> selection algorithm improved to make <code>rev + rad</code> return <code>rad</code></li> <li>feat: litre text symbol changed from <code>l</code> to <code>L</code> to avoid ambiguity with <code>1</code></li> <li>feat: alternativLine truncated
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HEAD/users_guide/framework_basics/design_overview/index.html
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HEAD/users_guide/framework_basics/dimensionless_quantities/index.html
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mpusz/mp-units
@@ -2428,7 +2428,7 @@ ratio of <code>1</code> and does not output any textual symbol.</p>
<div class="admonition important">
<p class="admonition-title">Important: <code>one</code> is an identity</p>
<p>A unit <code>one</code> is special in the entire type system of units as it is considered to be
<a href="../interface_introduction/#identities">an identity operand in the unit expression templates</a>.
<a href="../interface_introduction/#identities">an identity operand in the unit symbolic expressions</a>.
This means that, for example:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-8-1"><a id="__codelineno-8-1" name="__codelineno-8-1" href="#__codelineno-8-1"></a><span class="k">static_assert</span><span class="p">(</span><span class="n">one</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">one</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">one</span><span class="p">);</span>
</span><span id="__span-8-2"><a id="__codelineno-8-2" name="__codelineno-8-2" href="#__codelineno-8-2"></a><span class="k">static_assert</span><span class="p">(</span><span class="n">one</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">si</span><span class="o">::</span><span class="n">metre</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">metre</span><span class="p">);</span>
HEAD/users_guide/framework_basics/faster_than_lightspeed_constants/index.html
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HEAD/users_guide/framework_basics/interface_introduction/index.html
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@@ -926,13 +926,13 @@ You're not viewing the latest version.
</li>
<li class="md-nav__item">
<a href="#expression-templates" class="md-nav__link">
<a href="#symbolic-expressions" class="md-nav__link">
<span class="md-ellipsis">
Expression templates
Symbolic expressions
</span>
</a>
<nav class="md-nav" aria-label="Expression templates">
<nav class="md-nav" aria-label="Symbolic expressions">
<ul class="md-nav__list">
<li class="md-nav__item">
@@ -954,9 +954,9 @@ You're not viewing the latest version.
</li>
<li class="md-nav__item">
<a href="#simplifying-the-resulting-expression-templates" class="md-nav__link">
<a href="#simplifying-the-resulting-symbolic-expressions" class="md-nav__link">
<span class="md-ellipsis">
Simplifying the resulting expression templates
Simplifying the resulting symbolic expressions
</span>
</a>
@@ -2327,7 +2327,7 @@ a user's written code, a new idiom in the library is to use the same identifier
a type and its instance.</p>
<p>Also, to prevent possible issues in compile-time logic, all of the library's entities must be
marked <code>final</code>. This prevents the users to derive own strong types from them, which would
prevent expression template simplification of equivalent entities.</p>
prevent symbolic expressions simplification of equivalent entities.</p>
</div>
<h2 id="strong-types-instead-of-aliases">Strong types instead of aliases<a class="headerlink" href="#strong-types-instead-of-aliases" title="Permanent link">&para;</a></h2>
<p>Let's look again at the above units definitions. Another important point to notice is that
@@ -2382,12 +2382,12 @@ definition:</p>
</span><span id="__span-4-2"><a id="__codelineno-4-2" name="__codelineno-4-2" href="#__codelineno-4-2"></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">pascal</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">named_unit</span><span class="o">&lt;</span><span class="s">&quot;Pa&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">newton</span><span class="w"> </span><span class="o">/</span><span class="w"> </span><span class="n">square</span><span class="p">(</span><span class="n">metre</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">pascal</span><span class="p">;</span>
</span><span id="__span-4-3"><a id="__codelineno-4-3" name="__codelineno-4-3" href="#__codelineno-4-3"></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">joule</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">named_unit</span><span class="o">&lt;</span><span class="s">&quot;J&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">newton</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">metre</span><span class="o">&gt;</span><span class="w"> </span><span class="p">{}</span><span class="w"> </span><span class="n">joule</span><span class="p">;</span>
</span></code></pre></div>
<h2 id="expression-templates">Expression templates<a class="headerlink" href="#expression-templates" title="Permanent link">&para;</a></h2>
<h2 id="symbolic-expressions">Symbolic expressions<a class="headerlink" href="#symbolic-expressions" title="Permanent link">&para;</a></h2>
<p>The previous chapter provided a rationale for not having predefined types for derived entities.
In many libraries, such an approach results in long and unreadable compilation errors, as
framework-generated types are typically far from being easy to read and understand.</p>
<p>The <strong>mp-units</strong> library greatly improves the user experience by extensively using
expression templates. Such expressions are used consistently throughout the entire library
symbolic expressions. Such expressions are used consistently throughout the entire library
to describe the results of:</p>
<ul>
<li><a href="../../../appendix/glossary/#dimension-equation">dimension equation</a> - the result is put into
@@ -2445,7 +2445,7 @@ identities used in the library:</p>
<p>Another way to achieve the same result is to call an <code>inverse()</code> function:</p>
<div class="language-cpp highlight"><pre><span></span><code><span id="__span-8-1"><a id="__codelineno-8-1" name="__codelineno-8-1" href="#__codelineno-8-1"></a><span class="k">constexpr</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="n">my_unit</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">inverse</span><span class="p">(</span><span class="n">second</span><span class="p">);</span>
</span></code></pre></div>
<p>Both cases will result in the same expression template being generated and put into the wrapper
<p>Both cases will result in the same symbolic expression being generated and put into the wrapper
class template.</p>
</div>
<h3 id="supported-operations-and-their-results">Supported operations and their results<a class="headerlink" href="#supported-operations-and-their-results" title="Permanent link">&para;</a></h3>
@@ -2513,9 +2513,9 @@ its unique representation in the library:</p>
</tr>
</tbody>
</table>
<h3 id="simplifying-the-resulting-expression-templates">Simplifying the resulting expression templates<a class="headerlink" href="#simplifying-the-resulting-expression-templates" title="Permanent link">&para;</a></h3>
<h3 id="simplifying-the-resulting-symbolic-expressions">Simplifying the resulting symbolic expressions<a class="headerlink" href="#simplifying-the-resulting-symbolic-expressions" title="Permanent link">&para;</a></h3>
<p>To limit the length and improve the readability of generated types, there are many rules to simplify
the resulting expression template.</p>
the resulting symbolic expression.</p>
<ol>
<li>
<p><strong>Ordering</strong></p>
@@ -2596,7 +2596,7 @@ such behavior. For example, the Hubble constant is expressed in <code>km⋅s⁻
<code>km</code> and <code>Mpc</code> are units of <em>length</em>.</p>
<p>Also, to prevent possible issues in compile-time logic, all of the library's entities must be
marked <code>final</code>. This prevents the users to derive own strong types from them, which would
prevent expression template simplification of equivalent entities.</p>
prevent symbolic expression simplification of equivalent entities.</p>
</li>
<li>
<p><strong>Repacking</strong></p>
HEAD/users_guide/framework_basics/obtaining_metadata/index.html
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HEAD/users_guide/framework_basics/quantity_arithmetics/index.html
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HEAD/users_guide/framework_basics/simple_and_typed_quantities/index.html
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mpusz/mp-units
HEAD/users_guide/framework_basics/systems_of_quantities/index.html
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mpusz/mp-units
HEAD/users_guide/framework_basics/systems_of_units/index.html
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mpusz/mp-units
@@ -2361,7 +2361,7 @@ the following:</p>
<p class="admonition-title">Note</p>
<p>The above code example may give the impression that the order of components in a derived
unit is determined by the multiplication order. This is not the case. As stated in
<a href="../interface_introduction/#simplifying-the-resulting-expression-templates">Simplifying the resulting expression templates</a>,
<a href="../interface_introduction/#simplifying-the-resulting-symbolic-expressions">Simplifying the resulting symbolic expressions</a>,
to be able to reason about and simplify units, the library needs to order them in an
appropriate order. This will affect the order of components in a resulting type and
text output.</p>
HEAD/users_guide/framework_basics/text_output/index.html
+4 -4
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mpusz/mp-units
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mpusz/mp-units
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HEAD/users_guide/systems/natural_units/index.html
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mpusz/mp-units
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mpusz/mp-units
HEAD/users_guide/systems/si/index.html
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mpusz/mp-units
HEAD/users_guide/systems/strong_angular_system/index.html
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HEAD/users_guide/terms_and_definitions/index.html
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mpusz/mp-units
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mpusz/mp-units
HEAD/users_guide/use_cases/extending_the_library/index.html
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mpusz/mp-units
@@ -421,7 +421,7 @@ You're not viewing the latest version.
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mpusz/mp-units
HEAD/users_guide/use_cases/interoperability_with_other_libraries/index.html
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mpusz/mp-units
@@ -426,7 +426,7 @@ You're not viewing the latest version.
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mpusz/mp-units
HEAD/users_guide/use_cases/pure_dimensional_analysis/index.html
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mpusz/mp-units
@@ -421,7 +421,7 @@ You're not viewing the latest version.
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mpusz/mp-units
HEAD/users_guide/use_cases/using_custom_representation_types/index.html
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mpusz/mp-units
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mpusz/mp-units
HEAD/users_guide/use_cases/wide_compatibility/index.html
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mpusz/mp-units
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mpusz/mp-units
HEAD/users_guide/use_cases/working_with_legacy_interfaces/index.html
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@@ -25,7 +25,7 @@
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mpusz/mp-units
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