Files
mp-units/HEAD/api_reference/gen/qty.rep.concepts.html
T

88 lines
32 KiB
HTML

<!DOCTYPE html><html lang='en'><head><title>[qty.rep.concepts]</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 and units library <a class='abbr_ref' href='index.html#quantities'>[quantities]</a></h1><h2 ><a class='secnum' style='min-width:65pt'>5.5</a> Representation <a class='abbr_ref' href='qty.rep.html#concepts'>[qty.rep]</a></h2><h3 ><a class='secnum' style='min-width:80pt'>5.5.4</a> Concepts <a class='abbr_ref'>[qty.rep.concepts]</a></h3><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'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >WeaklyRegular</i></span><a class='index' id='concept:WeaklyRegular'></a> <span class='operator'>=</span> std<span class='operator'>::</span>copyable<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> std<span class='operator'>::</span>equality_comparable<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>; <span class='comment'>// <i >exposition only</i></span>
<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >Scalar</i></span><a class='index' id='concept:Scalar'></a> <span class='operator'>=</span> <span class='parenthesis'>(</span><span class='operator'>!</span>disable_scalar<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:WeaklyRegular'></a><span class='texttt'><i >WeaklyRegular</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <span class='keyword'>requires</span><span class='parenthesis'>(</span>T a, T b<span class='parenthesis'>)</span> <span class='curlybracket'>{</span> <span class='comment'>// <i >exposition only</i></span>
<span class='comment'>// scalar operations</span>
<span class='curlybracket'>{</span> <span class='operator'>-</span>a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>+</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>-</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>*</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>}</span>;
</code></div></div><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-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L3932'>#</a></div><div class='texpara'><div id='1.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#1.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:Complex'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:Complex'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>using</span> <span class='texttt'><i >value-type-t</i></span> <span class='operator'>=</span> <span class='texttt'><i >actual-value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>; <span class='comment'>// <i >exposition only</i>, see <a href='qty.fp.traits.html' title='5.5.2.1&emsp;Floating-point'>[qty.<span class='shy'></span>fp.<span class='shy'></span>traits]</a></span>
<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >Complex</i></span><a class='index' id='concept:Complex'></a> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span><span class='operator'>!</span>disable_complex<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:WeaklyRegular_'></a><span class='texttt'><i >WeaklyRegular</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Scalar'></a><span class='texttt'><i >Scalar</i></span><span class='anglebracket'>&lt;</span><span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
std<span class='operator'>::</span>constructible_from<span class='anglebracket'>&lt;</span>T, <span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>, <span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
<span class='keyword'>requires</span><span class='parenthesis'>(</span>T a, T b, <span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> s<span class='parenthesis'>)</span> <span class='curlybracket'>{</span>
<span class='comment'>// complex operations</span>
<span class='curlybracket'>{</span> <span class='operator'>-</span>a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>+</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>-</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>*</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>*</span> s <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> s <span class='operator'>*</span> a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> s <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='operator'>::</span>mp_units<span class='operator'>::</span>real<span class='parenthesis'>(</span>a<span class='parenthesis'>)</span>;
<span class='operator'>::</span>mp_units<span class='operator'>::</span>imag<span class='parenthesis'>(</span>a<span class='parenthesis'>)</span>;
<span class='operator'>::</span>mp_units<span class='operator'>::</span>modulus<span class='parenthesis'>(</span>a<span class='parenthesis'>)</span>;
<span class='curlybracket'>}</span>;
</code></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-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L3959'>#</a></div><div class='texpara'><div id='2.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#2.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:Vector'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:Vector'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >Vector</i></span><a class='index' id='concept:Vector'></a> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span><span class='operator'>!</span>disable_vector<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:WeaklyRegular__'></a><span class='texttt'><i >WeaklyRegular</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Scalar_'></a><span class='texttt'><i >Scalar</i></span><span class='anglebracket'>&lt;</span><span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
<span class='keyword'>requires</span><span class='parenthesis'>(</span>T a, T b, <span class='texttt'><i >value-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> s<span class='parenthesis'>)</span> <span class='curlybracket'>{</span>
<span class='comment'>// vector operations</span>
<span class='curlybracket'>{</span> <span class='operator'>-</span>a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>+</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>-</span> b <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>*</span> s <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> s <span class='operator'>*</span> a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> s <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='operator'>::</span>mp_units<span class='operator'>::</span>magnitude<span class='parenthesis'>(</span>a<span class='parenthesis'>)</span>;
<span class='curlybracket'>}</span>;
</code></div></div><div class='para' id='3'><div class='marginalizedparent'><a class='marginalized' href='#3'>3</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L3978'>#</a></div><div class='texpara'><div id='3.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#3.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:ScalarRepresentation'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:ScalarRepresentation'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>using</span> <span class='texttt'><i >scaling-factor-type-t</i></span> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
std<span class='operator'>::</span>conditional_t<span class='anglebracket'>&lt;</span>treat_as_floating_point<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>, <span class='keyword'>long</span> <span class='keyword'>double</span>, std<span class='operator'>::</span>intmax_t<span class='anglebracket'>&gt;</span>;
<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >ScalarRepresentation</i></span><a class='index' id='concept:ScalarRepresentation'></a> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span><span class='operator'>!</span><span class='texttt'><i >is-specialization-of</i></span><span class='anglebracket'>&lt;</span>T, quantity<span class='anglebracket'>&gt;</span><span class='parenthesis'>(</span><span class='parenthesis'>)</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Scalar__'></a><span class='texttt'><i >Scalar</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
<span class='keyword'>requires</span><span class='parenthesis'>(</span>T a, T b, <span class='texttt'><i >scaling-factor-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> f<span class='parenthesis'>)</span> <span class='curlybracket'>{</span>
<span class='comment'>// scaling</span>
<span class='curlybracket'>{</span> a <span class='operator'>*</span> f <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> f <span class='operator'>*</span> a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> f <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>}</span>;
</code></div></div><div class='para' id='4'><div class='marginalizedparent'><a class='marginalized' href='#4'>4</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L3997'>#</a></div><div class='texpara'><div id='4.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#4.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:ComplexRepresentation'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:ComplexRepresentation'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >ComplexRepresentation</i></span><a class='index' id='concept:ComplexRepresentation'></a> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span><span class='operator'>!</span><span class='texttt'><i >is-specialization-of</i></span><span class='anglebracket'>&lt;</span>T, quantity<span class='anglebracket'>&gt;</span><span class='parenthesis'>(</span><span class='parenthesis'>)</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Complex'></a><span class='texttt'><i >Complex</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
<span class='keyword'>requires</span><span class='parenthesis'>(</span>T a, T b, <span class='texttt'><i >scaling-factor-type-t</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> f<span class='parenthesis'>)</span> <span class='curlybracket'>{</span>
<span class='comment'>// scaling</span>
<span class='curlybracket'>{</span> a <span class='operator'>*</span> T<span class='parenthesis'>(</span>f<span class='parenthesis'>)</span> <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> T<span class='parenthesis'>(</span>f<span class='parenthesis'>)</span> <span class='operator'>*</span> a <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>{</span> a <span class='operator'>/</span> T<span class='parenthesis'>(</span>f<span class='parenthesis'>)</span> <span class='curlybracket'>}</span> <span class='operator'>-</span><span class='anglebracket'>&gt;</span> std<span class='operator'>::</span>common_with<span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
<span class='curlybracket'>}</span>;
</code></div></div><div class='para' id='5'><div class='marginalizedparent'><a class='marginalized' href='#5'>5</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L4012'>#</a></div><div class='texpara'><div id='5.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#5.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:VectorRepresentation'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:VectorRepresentation'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >VectorRepresentation</i></span><a class='index' id='concept:VectorRepresentation'></a> <span class='operator'>=</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span><span class='operator'>!</span><span class='texttt'><i >is-specialization-of</i></span><span class='anglebracket'>&lt;</span>T, quantity<span class='anglebracket'>&gt;</span><span class='parenthesis'>(</span><span class='parenthesis'>)</span><span class='parenthesis'>)</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Vector'></a><span class='texttt'><i >Vector</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
</code></div></div><div class='para' id='6'><div class='marginalizedparent'><a class='marginalized' href='#6'>6</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L4021'>#</a></div><div class='texpara'><div id='6.sentence-1' class='sentence'>TBD<a class='hidden_link' href='#6.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='concept:Representation'><div class='marginalizedparent'><a class='itemDeclLink' href='#concept:Representation'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <a class='hidden_link' href='#concept:Representation' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='concept:Representation'><span id='lib:Representation'><span class='texttt'>Representation</span></span></span></a> <span class='operator'>=</span> <a class='index' id='conceptref:ScalarRepresentation'></a><span class='texttt'><i >ScalarRepresentation</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span> <a class='index' id='conceptref:ComplexRepresentation'></a><span class='texttt'><i >ComplexRepresentation</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span>
<a class='index' id='conceptref:VectorRepresentation'></a><span class='texttt'><i >VectorRepresentation</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span>;
</code></div></div><div class='para' id='7'><div class='marginalizedparent'><a class='marginalized' href='#7'>7</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L4030'>#</a></div><div class='texpara'><div id='7.sentence-1' class='sentence'>A type <span class='texttt'>T</span> models <a href='#concept:Representation' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='conceptref:Representation'><span class='texttt'>Representation</span></span></a> if
it represents the numerical value of a quantity (<a href="https://www.electropedia.org/iev/iev.nsf/display?openform&ievref=112-01-29">IEC 60050, 112-01-29</a>)<a class='hidden_link' href='#7.sentence-1'>.</a></div></div></div><div class='texpara'><div class='itemdecl' id='itemdecl:8'><div class='marginalizedparent'><a class='itemDeclLink' href='#itemdecl:8'>🔗</a></div><code class='itemdeclcode'><span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T, quantity_character Ch<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <span class='texttt'><i >IsOfCharacter</i></span><a class='index' id='concept:IsOfCharacter'></a> <span class='operator'>=</span> <span class='parenthesis'>(</span>Ch <span class='operator'>=</span><span class='operator'>=</span> quantity_character<span class='operator'>::</span>real_scalar <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Scalar___'></a><span class='texttt'><i >Scalar</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span> <span class='operator'>|</span><span class='operator'>|</span> <span class='comment'>// <i >exposition only</i></span>
<span class='parenthesis'>(</span>Ch <span class='operator'>=</span><span class='operator'>=</span> quantity_character<span class='operator'>::</span>complex_scalar <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Complex_'></a><span class='texttt'><i >Complex</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span> <span class='operator'>|</span><span class='operator'>|</span>
<span class='parenthesis'>(</span>Ch <span class='operator'>=</span><span class='operator'>=</span> quantity_character<span class='operator'>::</span>vector <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:Vector_'></a><span class='texttt'><i >Vector</i></span><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span>;
<span class='keyword'>template</span><span class='anglebracket'>&lt;</span><span class='keyword'>typename</span> T, <span class='keyword'>auto</span> V<span class='anglebracket'>&gt;</span>
<span class='keyword'>concept</span> <a class='hidden_link' href='#concept:RepresentationOf' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='concept:RepresentationOf'><span id='lib:RepresentationOf'><span class='texttt'>RepresentationOf</span></span></span></a> <span class='operator'>=</span>
<a href='#concept:Representation' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='conceptref:Representation_'><span class='texttt'>Representation</span></span></a><span class='anglebracket'>&lt;</span>T<span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <span class='parenthesis'>(</span><span class='parenthesis'>(</span><a href='qty.spec.concepts.html#concept:QuantitySpec' title='5.4.3.2&emsp;Concepts&emsp;[qty.spec.concepts]'><span id='conceptref:QuantitySpec'><span class='texttt'>QuantitySpec</span></span></a><span class='anglebracket'>&lt;</span><span class='keyword'>decltype</span><span class='parenthesis'>(</span>V<span class='parenthesis'>)</span><span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span>
<span class='parenthesis'>(</span><a class='index' id='conceptref:QuantityKindSpec'></a><span class='texttt'><i >QuantityKindSpec</i></span><span class='anglebracket'>&lt;</span><span class='keyword'>decltype</span><span class='parenthesis'>(</span>V<span class='parenthesis'>)</span><span class='anglebracket'>&gt;</span> <span class='operator'>|</span><span class='operator'>|</span> <a class='index' id='conceptref:IsOfCharacter'></a><span class='texttt'><i >IsOfCharacter</i></span><span class='anglebracket'>&lt;</span>T, V<span class='operator'>.</span>character<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span><span class='parenthesis'>)</span> <span class='operator'>|</span><span class='operator'>|</span>
<span class='parenthesis'>(</span>std<span class='operator'>::</span>same_as<span class='anglebracket'>&lt;</span>quantity_character, <span class='keyword'>decltype</span><span class='parenthesis'>(</span>V<span class='parenthesis'>)</span><span class='anglebracket'>&gt;</span> <span class='operator'>&amp;</span><span class='operator'>&amp;</span> <a class='index' id='conceptref:IsOfCharacter_'></a><span class='texttt'><i >IsOfCharacter</i></span><span class='anglebracket'>&lt;</span>T, V<span class='anglebracket'>&gt;</span><span class='parenthesis'>)</span><span class='parenthesis'>)</span>;
</code></div></div><div class='para' id='8'><div class='marginalizedparent'><a class='marginalized' href='#8'>8</a></div><div class='sourceLinkParent'><a class='sourceLink' href='https://github.com/mpusz/mp-unitse9c5f7236ebfe1b287a5a4a49aaf57fbefa87233/source/quantities.tex#L4047'>#</a></div><div class='texpara'><div id='8.sentence-1' class='sentence'>A type <span class='texttt'>T</span> models <span class='texttt'><a href='#concept:RepresentationOf' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='conceptref:RepresentationOf'><span class='texttt'>RepresentationOf</span></span></a><span class='anglebracket'>&lt;</span>V<span class='anglebracket'>&gt;</span></span> if
<span class='texttt'>T</span> models <a href='#concept:Representation' title='5.5.4&emsp;Concepts&emsp;[qty.rep.concepts]'><span id='conceptref:Representation__'><span class='texttt'>Representation</span></span></a> and
<ul class='itemize'><li id='8.1'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#8.1'>(8.1)</a></div><span class='texttt'>V</span> is a kind of quantity, or</li><li id='8.2'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#8.2'>(8.2)</a></div>if <span class='texttt'>V</span> is a quantity, then <span class='texttt'>T</span> represents a value of its character, or</li><li id='8.3'><div class='marginalizedparent' style='left:-27mm'><a class='marginalized' href='#8.3'>(8.3)</a></div>if <span class='texttt'>V</span> is a quantity character, then <span class='texttt'>T</span> represents a value of <span class='texttt'>V</span><a class='hidden_link' href='#8.sentence-1'>.</a></li></ul></div></div></div></div></body></html>