Topic: Proposal for <numeric>: rounded-up integral division,


Author: "'Walt Karas' via ISO C++ Standard - Future Proposals" <std-proposals@isocpp.org>
Date: Thu, 8 Dec 2016 10:39:54 -0800 (PST)
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#include <type_traits>


template <typename I>
struct mround_type
  {
    static_assert(
      std::is_integral<I>::value, "mround_type requires integral type");


    const I value;


    constexpr explicit mround_type(I v) : value(v) { }
  };


template <typename I>
constexpr auto mround(I i)
  {
    static_assert(
      std::is_integral<I>::value,
      "mround() parameter must be of integral type");


    return(mround_type<I>(i));
  }


// Rounded-up integral division.
template <typename I>
constexpr I operator / (I i, mround_type<I> factor)
  {
    return((i + factor.value - 1) / factor.value);
  }


// Round up integer to multiple.
template <typename I>
constexpr I operator + (I i, mround_type<I> factor)
  {
    return((i / factor) * factor.value);
  }


// Round down integer to multiple.
template <typename I>
constexpr I operator - (I i, mround_type<I> factor)
  {
    return(i - (i % factor.value));
  }


static_assert(9 / mround(5) == 2, "");
static_assert(10 / mround(5) == 2, "");
static_assert(11 / mround(5) == 3, "");


static_assert(9 + mround(5) == 10, "");
static_assert(10 + mround(5) == 10, "");
static_assert(11 + mround(5) == 15, "");


static_assert(9 - mround(5) == 5, "");
static_assert(10 - mround(5) == 10, "");
static_assert(11 - mround(5) == 10, "");



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250, 250, 250); border-color: rgb(187, 187, 187); border-style: solid; bord=
er-width: 1px; word-wrap: break-word;"><code class=3D"prettyprint"><div cla=
ss=3D"subprettyprint"><span style=3D"color: #800;" class=3D"styled-by-prett=
ify">#include</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #080;" class=3D"styled-by-prettify">&lt;ty=
pe_traits&gt;</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"><br><br><br></span><span style=3D"color: #008;" class=3D"styled-by-prett=
ify">template</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
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span><span style=3D"color: #008;" class=3D"styled-by-prettify">typename</sp=
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style=3D"color: #660;" class=3D"styled-by-prettify">(</span><span style=3D"=
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y-prettify">&quot;mround_type requires integral type&quot;</span><span styl=
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pan style=3D"color: #008;" class=3D"styled-by-prettify">const</span><span s=
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pan style=3D"color: #008;" class=3D"styled-by-prettify">constexpr</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=
=3D"color: #008;" class=3D"styled-by-prettify">explicit</span><span style=
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le=3D"color: #660;" class=3D"styled-by-prettify">(</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify">I v</span><span style=3D"color: #66=
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d-by-prettify">:</span><span style=3D"color: #000;" class=3D"styled-by-pret=
tify"> value</span><span style=3D"color: #660;" class=3D"styled-by-prettify=
">(</span><span style=3D"color: #000;" class=3D"styled-by-prettify">v</span=
><span style=3D"color: #660;" class=3D"styled-by-prettify">)</span><span st=
yle=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"co=
lor: #660;" class=3D"styled-by-prettify">{</span><span style=3D"color: #000=
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d-by-prettify"><br>=C2=A0 </span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">};</span><span style=3D"color: #000;" class=3D"styled-by-pr=
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prettify">template</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">&=
lt;</span><span style=3D"color: #008;" class=3D"styled-by-prettify">typenam=
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style=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=
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: #008;" class=3D"styled-by-prettify">auto</span><span style=3D"color: #000=
;" class=3D"styled-by-prettify"> mround</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">(</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify">I i</span><span style=3D"color: #660;" class=3D"styled-=
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fy"><br>=C2=A0 </span><span style=3D"color: #660;" class=3D"styled-by-prett=
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=C2=A0 =C2=A0 </span><span style=3D"color: #008;" class=3D"styled-by-pretti=
fy">static_assert</span><span style=3D"color: #660;" class=3D"styled-by-pre=
ttify">(</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><b=
r>=C2=A0 =C2=A0 =C2=A0 std</span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">::</span><span style=3D"color: #000;" class=3D"styled-by-pr=
ettify">is_integral</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">&lt;</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y">I</span><span style=3D"color: #660;" class=3D"styled-by-prettify">&gt;::=
</span><span style=3D"color: #000;" class=3D"styled-by-prettify">value</spa=
n><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span s=
tyle=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 =C2=A0 =C2=A0=
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und() parameter must be of integral type&quot;</span><span style=3D"color: =
#660;" class=3D"styled-by-prettify">);</span><span style=3D"color: #000;" c=
lass=3D"styled-by-prettify"><br><br><br>=C2=A0 =C2=A0 </span><span style=3D=
"color: #008;" class=3D"styled-by-prettify">return</span><span style=3D"col=
or: #660;" class=3D"styled-by-prettify">(</span><span style=3D"color: #000;=
" class=3D"styled-by-prettify">mround_type</span><span style=3D"color: #660=
;" class=3D"styled-by-prettify">&lt;</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify">I</span><span style=3D"color: #660;" class=3D"sty=
led-by-prettify">&gt;(</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify">i</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">));</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br>=
=C2=A0 </span><span style=3D"color: #660;" class=3D"styled-by-prettify">}</=
span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br><br><br>=
</span><span style=3D"color: #800;" class=3D"styled-by-prettify">// Rounded=
-up integral division.</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"><br></span><span style=3D"color: #008;" class=3D"styled-by-pret=
tify">template</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">&lt;<=
/span><span style=3D"color: #008;" class=3D"styled-by-prettify">typename</s=
pan><span style=3D"color: #000;" class=3D"styled-by-prettify"> I</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify">&gt;</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=3D"c=
olor: #008;" class=3D"styled-by-prettify">constexpr</span><span style=3D"co=
lor: #000;" class=3D"styled-by-prettify"> I </span><span style=3D"color: #0=
08;" class=3D"styled-by-prettify">operator</span><span style=3D"color: #000=
;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">/</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify">(</span><span style=3D"color: #000;" class=3D"styled-by-prettify">I i=
</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"> mround_type</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify">&lt;</span><span =
style=3D"color: #000;" class=3D"styled-by-prettify">I</span><span style=3D"=
color: #660;" class=3D"styled-by-prettify">&gt;</span><span style=3D"color:=
 #000;" class=3D"styled-by-prettify"> factor</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">)</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"><br>=C2=A0 </span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">{</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"><br>=C2=A0 =C2=A0 </span><span style=3D"color: #008;" clas=
s=3D"styled-by-prettify">return</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">((</span><span style=3D"color: #000;" class=3D"styled-=
by-prettify">i </span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">+</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> fac=
tor</span><span style=3D"color: #660;" class=3D"styled-by-prettify">.</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify">value </span><sp=
an style=3D"color: #660;" class=3D"styled-by-prettify">-</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color=
: #066;" class=3D"styled-by-prettify">1</span><span style=3D"color: #660;" =
class=3D"styled-by-prettify">)</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by=
-prettify">/</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> factor</span><span style=3D"color: #660;" class=3D"styled-by-prettify">.=
</span><span style=3D"color: #000;" class=3D"styled-by-prettify">value</spa=
n><span style=3D"color: #660;" class=3D"styled-by-prettify">);</span><span =
style=3D"color: #000;" class=3D"styled-by-prettify"><br>=C2=A0 </span><span=
 style=3D"color: #660;" class=3D"styled-by-prettify">}</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"><br><br><br></span><span style=
=3D"color: #800;" class=3D"styled-by-prettify">// Round up integer to multi=
ple.</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br></=
span><span style=3D"color: #008;" class=3D"styled-by-prettify">template</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">&lt;</span><span style=
=3D"color: #008;" class=3D"styled-by-prettify">typename</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> I</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">&gt;</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"><br></span><span style=3D"color: #008;" cl=
ass=3D"styled-by-prettify">constexpr</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> I </span><span style=3D"color: #008;" class=3D"s=
tyled-by-prettify">operator</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pr=
ettify">+</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> =
</span><span style=3D"color: #660;" class=3D"styled-by-prettify">(</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify">I i</span><span sty=
le=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> mround_type</span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify">&lt;</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify">I</span><span style=3D"color: #660;" cl=
ass=3D"styled-by-prettify">&gt;</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"> factor</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify">)</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"><br>=C2=A0 </span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">{</span><span style=3D"color: #000;" class=3D"styled-by-prettify"=
><br>=C2=A0 =C2=A0 </span><span style=3D"color: #008;" class=3D"styled-by-p=
rettify">return</span><span style=3D"color: #660;" class=3D"styled-by-prett=
ify">((</span><span style=3D"color: #000;" class=3D"styled-by-prettify">i <=
/span><span style=3D"color: #660;" class=3D"styled-by-prettify">/</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> factor</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">)</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">*</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"> factor</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">.</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify">value</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">);</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"><br>=C2=A0 </span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">}</span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br><b=
r><br></span><span style=3D"color: #800;" class=3D"styled-by-prettify">// R=
ound down integer to multiple.</span><span style=3D"color: #000;" class=3D"=
styled-by-prettify"><br></span><span style=3D"color: #008;" class=3D"styled=
-by-prettify">template</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">&lt;</span><span style=3D"color: #008;" class=3D"styled-by-prettify">typ=
ename</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> I</s=
pan><span style=3D"color: #660;" class=3D"styled-by-prettify">&gt;</span><s=
pan style=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span st=
yle=3D"color: #008;" class=3D"styled-by-prettify">constexpr</span><span sty=
le=3D"color: #000;" class=3D"styled-by-prettify"> I </span><span style=3D"c=
olor: #008;" class=3D"styled-by-prettify">operator</span><span style=3D"col=
or: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;=
" class=3D"styled-by-prettify">-</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"style=
d-by-prettify">(</span><span style=3D"color: #000;" class=3D"styled-by-pret=
tify">I i</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,=
</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> mround_ty=
pe</span><span style=3D"color: #660;" class=3D"styled-by-prettify">&lt;</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify">I</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">&gt;</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> factor</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">)</span><span style=3D"color: #=
000;" class=3D"styled-by-prettify"><br>=C2=A0 </span><span style=3D"color: =
#660;" class=3D"styled-by-prettify">{</span><span style=3D"color: #000;" cl=
ass=3D"styled-by-prettify"><br>=C2=A0 =C2=A0 </span><span style=3D"color: #=
008;" class=3D"styled-by-prettify">return</span><span style=3D"color: #660;=
" class=3D"styled-by-prettify">(</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify">i </span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">-</span><span style=3D"color: #000;" class=3D"styled-by-pre=
ttify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">(<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify">i </span><s=
pan style=3D"color: #660;" class=3D"styled-by-prettify">%</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"> factor</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">.</span><span style=3D"color: #=
000;" class=3D"styled-by-prettify">value</span><span style=3D"color: #660;"=
 class=3D"styled-by-prettify">));</span><span style=3D"color: #000;" class=
=3D"styled-by-prettify"><br>=C2=A0 </span><span style=3D"color: #660;" clas=
s=3D"styled-by-prettify">}</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"><br><br><br></span><span style=3D"color: #008;" class=3D"st=
yled-by-prettify">static_assert</span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">(</span><span style=3D"color: #066;" class=3D"styled-b=
y-prettify">9</span><span style=3D"color: #000;" class=3D"styled-by-prettif=
y"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">/</spa=
n><span style=3D"color: #000;" class=3D"styled-by-prettify"> mround</span><=
span style=3D"color: #660;" class=3D"styled-by-prettify">(</span><span styl=
e=3D"color: #066;" class=3D"styled-by-prettify">5</span><span style=3D"colo=
r: #660;" class=3D"styled-by-prettify">)</span><span style=3D"color: #000;"=
 class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">=3D=3D</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #066;" class=3D"styled-by-pr=
ettify">2</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,=
</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><s=
pan style=3D"color: #080;" class=3D"styled-by-prettify">&quot;&quot;</span>=
<span style=3D"color: #660;" class=3D"styled-by-prettify">);</span><span st=
yle=3D"color: #000;" class=3D"styled-by-prettify"><br></span><span style=3D=
"color: #008;" class=3D"styled-by-prettify">static_assert</span><span style=
=3D"color: #660;" class=3D"styled-by-prettify">(</span><span style=3D"color=
: #066;" class=3D"styled-by-prettify">10</span><span style=3D"color: #000;"=
 class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D=
"styled-by-prettify">/</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> mround</span><span style=3D"color: #660;" class=3D"styled-by-p=
rettify">(</span><span style=3D"color: #066;" class=3D"styled-by-prettify">=
5</span><span style=3D"color: #660;" class=3D"styled-by-prettify">)</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #660;" class=3D"styled-by-prettify">=3D=3D</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #=
066;" class=3D"styled-by-prettify">2</span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D"sty=
led-by-prettify"> </span><span style=3D"color: #080;" class=3D"styled-by-pr=
ettify">&quot;&quot;</span><span style=3D"color: #660;" class=3D"styled-by-=
prettify">);</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"><br></span><span style=3D"color: #008;" class=3D"styled-by-prettify">stat=
ic_assert</span><span style=3D"color: #660;" class=3D"styled-by-prettify">(=
</span><span style=3D"color: #066;" class=3D"styled-by-prettify">11</span><=
span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span styl=
e=3D"color: #660;" class=3D"styled-by-prettify">/</span><span style=3D"colo=
r: #000;" class=3D"styled-by-prettify"> mround</span><span style=3D"color: =
#660;" class=3D"styled-by-prettify">(</span><span style=3D"color: #066;" cl=
ass=3D"styled-by-prettify">5</span><span style=3D"color: #660;" class=3D"st=
yled-by-prettify">)</span><span style=3D"color: #000;" class=3D"styled-by-p=
rettify"> </span><span style=3D"color: #660;" class=3D"styled-by-prettify">=
=3D=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </s=
pan><span style=3D"color: #066;" class=3D"styled-by-prettify">3</span><span=
 style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #=
080;" class=3D"styled-by-prettify">&quot;&quot;</span><span style=3D"color:=
 #660;" class=3D"styled-by-prettify">);</span><span style=3D"color: #000;" =
class=3D"styled-by-prettify"><br><br><br></span><span style=3D"color: #008;=
" class=3D"styled-by-prettify">static_assert</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">(</span><span style=3D"color: #066;" clas=
s=3D"styled-by-prettify">9</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pre=
ttify">+</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> m=
round</span><span style=3D"color: #660;" class=3D"styled-by-prettify">(</sp=
an><span style=3D"color: #066;" class=3D"styled-by-prettify">5</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">)</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">=3D=3D</span><span style=3D"color: #000;"=
 class=3D"styled-by-prettify"> </span><span style=3D"color: #066;" class=3D=
"styled-by-prettify">10</span><span style=3D"color: #660;" class=3D"styled-=
by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"> </span><span style=3D"color: #080;" class=3D"styled-by-prettify">&quot=
;&quot;</span><span style=3D"color: #660;" class=3D"styled-by-prettify">);<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br></span>=
<span style=3D"color: #008;" class=3D"styled-by-prettify">static_assert</sp=
an><span style=3D"color: #660;" class=3D"styled-by-prettify">(</span><span =
style=3D"color: #066;" class=3D"styled-by-prettify">10</span><span style=3D=
"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #=
660;" class=3D"styled-by-prettify">+</span><span style=3D"color: #000;" cla=
ss=3D"styled-by-prettify"> mround</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">(</span><span style=3D"color: #066;" class=3D"style=
d-by-prettify">5</span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify">)</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> </=
span><span style=3D"color: #660;" class=3D"styled-by-prettify">=3D=3D</span=
><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span st=
yle=3D"color: #066;" class=3D"styled-by-prettify">10</span><span style=3D"c=
olor: #660;" class=3D"styled-by-prettify">,</span><span style=3D"color: #00=
0;" class=3D"styled-by-prettify"> </span><span style=3D"color: #080;" class=
=3D"styled-by-prettify">&quot;&quot;</span><span style=3D"color: #660;" cla=
ss=3D"styled-by-prettify">);</span><span style=3D"color: #000;" class=3D"st=
yled-by-prettify"><br></span><span style=3D"color: #008;" class=3D"styled-b=
y-prettify">static_assert</span><span style=3D"color: #660;" class=3D"style=
d-by-prettify">(</span><span style=3D"color: #066;" class=3D"styled-by-pret=
tify">11</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> <=
/span><span style=3D"color: #660;" class=3D"styled-by-prettify">+</span><sp=
an style=3D"color: #000;" class=3D"styled-by-prettify"> mround</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">(</span><span style=3D"=
color: #066;" class=3D"styled-by-prettify">5</span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">)</span><span style=3D"color: #000;" clas=
s=3D"styled-by-prettify"> </span><span style=3D"color: #660;" class=3D"styl=
ed-by-prettify">=3D=3D</span><span style=3D"color: #000;" class=3D"styled-b=
y-prettify"> </span><span style=3D"color: #066;" class=3D"styled-by-prettif=
y">15</span><span style=3D"color: #660;" class=3D"styled-by-prettify">,</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span =
style=3D"color: #080;" class=3D"styled-by-prettify">&quot;&quot;</span><spa=
n style=3D"color: #660;" class=3D"styled-by-prettify">);</span><span style=
=3D"color: #000;" class=3D"styled-by-prettify"><br><br><br></span><span sty=
le=3D"color: #008;" class=3D"styled-by-prettify">static_assert</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">(</span><span style=3D"=
color: #066;" class=3D"styled-by-prettify">9</span><span style=3D"color: #0=
00;" class=3D"styled-by-prettify"> </span><span style=3D"color: #660;" clas=
s=3D"styled-by-prettify">-</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> mround</span><span style=3D"color: #660;" class=3D"styled-=
by-prettify">(</span><span style=3D"color: #066;" class=3D"styled-by-pretti=
fy">5</span><span style=3D"color: #660;" class=3D"styled-by-prettify">)</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">=3D=3D</span><span styl=
e=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"colo=
r: #066;" class=3D"styled-by-prettify">5</span><span style=3D"color: #660;"=
 class=3D"styled-by-prettify">,</span><span style=3D"color: #000;" class=3D=
"styled-by-prettify"> </span><span style=3D"color: #080;" class=3D"styled-b=
y-prettify">&quot;&quot;</span><span style=3D"color: #660;" class=3D"styled=
-by-prettify">);</span><span style=3D"color: #000;" class=3D"styled-by-pret=
tify"><br></span><span style=3D"color: #008;" class=3D"styled-by-prettify">=
static_assert</span><span style=3D"color: #660;" class=3D"styled-by-prettif=
y">(</span><span style=3D"color: #066;" class=3D"styled-by-prettify">10</sp=
an><span style=3D"color: #000;" class=3D"styled-by-prettify"> </span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">-</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> mround</span><span style=3D"col=
or: #660;" class=3D"styled-by-prettify">(</span><span style=3D"color: #066;=
" class=3D"styled-by-prettify">5</span><span style=3D"color: #660;" class=
=3D"styled-by-prettify">)</span><span style=3D"color: #000;" class=3D"style=
d-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pret=
tify">=3D=3D</span><span style=3D"color: #000;" class=3D"styled-by-prettify=
"> </span><span style=3D"color: #066;" class=3D"styled-by-prettify">10</spa=
n><span style=3D"color: #660;" class=3D"styled-by-prettify">,</span><span s=
tyle=3D"color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"c=
olor: #080;" class=3D"styled-by-prettify">&quot;&quot;</span><span style=3D=
"color: #660;" class=3D"styled-by-prettify">);</span><span style=3D"color: =
#000;" class=3D"styled-by-prettify"><br></span><span style=3D"color: #008;"=
 class=3D"styled-by-prettify">static_assert</span><span style=3D"color: #66=
0;" class=3D"styled-by-prettify">(</span><span style=3D"color: #066;" class=
=3D"styled-by-prettify">11</span><span style=3D"color: #000;" class=3D"styl=
ed-by-prettify"> </span><span style=3D"color: #660;" class=3D"styled-by-pre=
ttify">-</span><span style=3D"color: #000;" class=3D"styled-by-prettify"> m=
round</span><span style=3D"color: #660;" class=3D"styled-by-prettify">(</sp=
an><span style=3D"color: #066;" class=3D"styled-by-prettify">5</span><span =
style=3D"color: #660;" class=3D"styled-by-prettify">)</span><span style=3D"=
color: #000;" class=3D"styled-by-prettify"> </span><span style=3D"color: #6=
60;" class=3D"styled-by-prettify">=3D=3D</span><span style=3D"color: #000;"=
 class=3D"styled-by-prettify"> </span><span style=3D"color: #066;" class=3D=
"styled-by-prettify">10</span><span style=3D"color: #660;" class=3D"styled-=
by-prettify">,</span><span style=3D"color: #000;" class=3D"styled-by-pretti=
fy"> </span><span style=3D"color: #080;" class=3D"styled-by-prettify">&quot=
;&quot;</span><span style=3D"color: #660;" class=3D"styled-by-prettify">);<=
/span><span style=3D"color: #000;" class=3D"styled-by-prettify"><br></span>=
<span style=3D"color: #000;" class=3D"styled-by-prettify"><br></span></div>=
</code></div><div><br><br></div></div>

<p></p>

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------=_Part_296_797881276.1481222394270--

.