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From: Fabrice L <fabrice.alpha@gmail.com>
Newsgroups: gmane.comp.tex.context
Subject: Re: Units of xpart and ypart of a pair in MetaFun
Date: Thu, 26 Nov 2020 10:19:48 -0500
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Hi keith,

> Le 26 nov. 2020 =C3=A0 10:09, Keith McKay <mckaymeister@gmail.com> a =
=C3=A9crit :
>=20
> Hi,
>=20
> I have been using xpart and ypart to extract these values from pairs =
of points in a path but I wasn't getting the correct result. I was =
expecting:
>=20
> pair (2cm, 11cm) to give xpart 2 and ypart 11
>=20
> However I was getting:
>=20
> pair (2cm, 11cm) -> xpart 56.6929 and ypart 311.8096
>=20
> After much head scratching and reading the MetaPost and MetaFun =
manuals, I realised that the units of xpart or ypart are in Postcript =
points or Big Points (bp), and 1 bp is 1/72 of an inch, and thus to get =
the values of xpart or ypart in cm I would have to use a correction =
factor. I had made the assumption that since the x and ypart in the pair =
was in cm that the result would be in cm, but I see now that this is not =
the case. Will I have to continue doing this or is there some magic =
within MetaFun which takes account of the units in a pair and outputs =
the result of x and ypart in the same units?
>=20
> The MWE belows shows what I have been doing.
>=20
> Thanks
>=20
> Keith McKay
>=20
> %%% MWE %%%
> \setuppapersize [A5, landscape][A4, portrait]
> \usecolors[crayola]
> \starttext
> \startMPpage
> StartPage;
> width :=3D PaperWidth ; height :=3D PaperHeight ; unit :=3D cm ;
> numeric squig;
> pair a[]; a0 =3D (2cm,11cm);  a1 =3D (4cm,10cm);  a2 =3D (6cm,9cm);  =
a3 =3D (8cm,8cm);
> show xpart a[0], ypart a[0]; %Example of result from x and ypart =
before applying correction factor (cf) %
> cf :=3D 72/2.54; %Converts points/in to points/cm%
> path pp;
> for i =3D 0 step 1 until 3:
> 	pp :=3D ((xpart a[i])/cf*cm, (ypart a[i])/cf*cm);
> 	for squig =3D 1 step 1 until 15:
> 		xcoord :=3D uniformdeviate(1) - 0.5 + (xpart a[i]/cf);
> 		ycoord :=3D uniformdeviate(1) - 0.5+ (ypart a[i]/cf);
> 		pp :=3D pp  .. {curl 100}(xcoord*cm, ycoord*cm);
> 	endfor;
> 	pp :=3D pp --- cycle;
> 	if i < 3 :
> 		pp :=3D pp --- ((xpart a[i+1]/cf)*cm, (ypart =
a[i+1])/cf*cm);
> 	fi;=09
> 	f :=3D((1.4 - 0.6) * uniformdeviate(1)) + 0.8; % Factor to =
lighten/darken colour %
> 	draw pp withpen pencircle xscaled 0.5mm yscaled .1mm rotated 45 =
withcolor (f[white,\MPcolor{BurntSienna}]);
> endfor;
> StopPage;
> \stopMPpage
> \stoptext
> %%%%%%%%%%%%%%
>=20

MetaPost (MetaFun) is taking care of everything regarding units. As you =
ave discovered, everything is translated to a unique internal dimension. =
So you can write:

 a :=3D (1cm,2in) ;

with no problem. The =C2=AB cm =C2=BB and =C2=AB in =C2=BB parts of the =
expression will become numbers to translate this number on the right =
unit.=20
Fabrice.
> =
__________________________________________________________________________=
_________
> If your question is of interest to others as well, please add an entry =
to the Wiki!
>=20
> maillist : ntg-context@ntg.nl <mailto:ntg-context@ntg.nl> / =
http://www.ntg.nl/mailman/listinfo/ntg-context =
<http://www.ntg.nl/mailman/listinfo/ntg-context>
> webpage  : http://www.pragma-ade.nl <http://www.pragma-ade.nl/> / =
http://context.aanhet.net <http://context.aanhet.net/>
> archive  : https://bitbucket.org/phg/context-mirror/commits/ =
<https://bitbucket.org/phg/context-mirror/commits/>
> wiki     : http://contextgarden.net <http://contextgarden.net/>
> =
__________________________________________________________________________=
_________
>=20


--Apple-Mail=_FC573245-CA81-4CD3-84BD-2629F5976800
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<html><head><meta http-equiv=3D"Content-Type" content=3D"text/html; =
charset=3Dutf-8"></head><body style=3D"word-wrap: break-word; =
-webkit-nbsp-mode: space; line-break: after-white-space;" class=3D"">Hi =
keith,<br class=3D""><div><br class=3D""><blockquote type=3D"cite" =
class=3D""><div class=3D"">Le 26 nov. 2020 =C3=A0 10:09, Keith McKay =
&lt;<a href=3D"mailto:mckaymeister@gmail.com" =
class=3D"">mckaymeister@gmail.com</a>&gt; a =C3=A9crit :</div><br =
class=3D"Apple-interchange-newline"><div class=3D""><meta =
charset=3D"UTF-8" class=3D""><p style=3D"white-space: pre-wrap;" =
class=3D"">Hi,</p><p style=3D"white-space: pre-wrap;" class=3D"">I have =
been using xpart and ypart to extract these values from pairs of points =
in a path but I wasn't getting the correct result. I was =
expecting:</p><p style=3D"white-space: pre-wrap;" class=3D"">pair (2cm, =
11cm) to give xpart 2 and ypart 11</p><p style=3D"white-space: =
pre-wrap;" class=3D"">However I was getting:</p><p style=3D"white-space: =
pre-wrap;" class=3D"">pair (2cm, 11cm) -&gt; xpart 56.6929 and ypart =
311.8096</p><p style=3D"white-space: pre-wrap;" class=3D"">After much =
head scratching and reading the MetaPost and MetaFun manuals, I realised =
that the units of xpart or ypart are in Postcript points or Big Points =
(bp), and 1 bp is 1/72 of an inch, and thus to get the values of xpart =
or ypart in cm I would have to use a correction factor. I had made the =
assumption that since the x and ypart in the pair was in cm that the =
result would be in cm, but I see now that this is not the case. Will I =
have to continue doing this or is there some magic within MetaFun which =
takes account of the units in a pair and outputs the result of x and =
ypart in the same units?</p><p style=3D"white-space: pre-wrap;" =
class=3D"">The MWE belows shows what I have been doing.</p><p =
style=3D"white-space: pre-wrap;" class=3D"">Thanks</p><p =
style=3D"white-space: pre-wrap;" class=3D"">Keith McKay
</p><div style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">%%% MWE %%%</div><div style=3D"white-space:=
 pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" =
class=3D"">\setuppapersize [A5, landscape][A4, portrait]</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">\usecolors[crayola]</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">\starttext</div><div style=3D"white-space: =
pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" =
class=3D"">\startMPpage</div><div style=3D"white-space: pre-wrap; =
margin: 0px; text-indent: 0px; line-height: 12px;" =
class=3D"">StartPage;</div><div style=3D"white-space: pre-wrap; margin: =
0px; text-indent: 0px; line-height: 12px;" class=3D"">width :=3D =
PaperWidth ; height :=3D PaperHeight ; unit :=3D cm ;</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">numeric squig;</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">pair a[]; a0 =3D (2cm,11cm);  a1 =3D =
(4cm,10cm);  a2 =3D (6cm,9cm);  a3 =3D (8cm,8cm);</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">show xpart a[0], ypart a[0]; %Example of =
result from x and ypart before applying correction factor (cf) =
%</div><div style=3D"white-space: pre-wrap; margin: 0px; text-indent: =
0px; line-height: 12px;" class=3D"">cf :=3D 72/2.54; %Converts points/in =
to points/cm%</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">path pp;</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">for i =3D 0 step 1 until 3:</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">	pp :=3D ((xpart a[i])/cf*cm, (ypart =
a[i])/cf*cm);</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">	for squig =3D 1 =
step 1 until 15:</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">		xcoord =
:=3D uniformdeviate(1) - 0.5 + (xpart a[i]/cf);</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">		ycoord :=3D uniformdeviate(1) - =
0.5+ (ypart a[i]/cf);</div><div style=3D"white-space: pre-wrap; margin: =
0px; text-indent: 0px; line-height: 12px;" class=3D"">		pp :=3D =
pp  .. {curl 100}(xcoord*cm, ycoord*cm);</div><div style=3D"white-space: =
pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" class=3D"">	=
endfor;</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">	pp :=3D pp --- =
cycle;</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">	if i &lt; 3 =
:</div><div style=3D"white-space: pre-wrap; margin: 0px; text-indent: =
0px; line-height: 12px;" class=3D"">		pp :=3D pp --- ((xpart =
a[i+1]/cf)*cm, (ypart a[i+1])/cf*cm);</div><div style=3D"white-space: =
pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" class=3D"">	=
fi;	</div><div style=3D"white-space: pre-wrap; margin: 0px; =
text-indent: 0px; line-height: 12px;" class=3D"">	f :=3D((1.4 - =
0.6) * uniformdeviate(1)) + 0.8; % Factor to lighten/darken colour =
%</div><div style=3D"white-space: pre-wrap; margin: 0px; text-indent: =
0px; line-height: 12px;" class=3D"">	draw pp withpen pencircle =
xscaled 0.5mm yscaled .1mm rotated 45 withcolor =
(f[white,\MPcolor{BurntSienna}]);</div><div style=3D"white-space: =
pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" =
class=3D"">endfor;</div><div style=3D"white-space: pre-wrap; margin: =
0px; text-indent: 0px; line-height: 12px;" class=3D"">StopPage;</div><div =
style=3D"white-space: pre-wrap; margin: 0px; text-indent: 0px; =
line-height: 12px;" class=3D"">\stopMPpage</div><div style=3D"white-space:=
 pre-wrap; margin: 0px; text-indent: 0px; line-height: 12px;" =
class=3D"">\stoptext</div><div style=3D"white-space: pre-wrap; margin: =
0px; text-indent: 0px; line-height: 12px;" =
class=3D"">%%%%%%%%%%%%%%</div><p style=3D"white-space: pre-wrap; =
margin: 0px; text-indent: 0px; line-height: 12px;" class=3D"">
</p></div></blockquote><div><br class=3D""></div>MetaPost (MetaFun) is =
taking care of everything regarding units. As you ave discovered, =
everything is translated to a unique internal dimension. So you can =
write:</div><div><br class=3D""></div><div>&nbsp;a :=3D (1cm,2in) =
;</div><div><br class=3D""></div><div>with no problem. The =
=C2=AB&nbsp;cm&nbsp;=C2=BB and =C2=AB in&nbsp;=C2=BB parts of the =
expression will become numbers to translate this number on the right =
unit.&nbsp;</div><div>Fabrice.</div><div><blockquote type=3D"cite" =
class=3D""><div class=3D""><p style=3D"white-space: pre-wrap;" =
class=3D"">_______________________________________________________________=
____________________<br class=3D"">If your question is of interest to =
others as well, please add an entry to the Wiki!<br class=3D""><br =
class=3D"">maillist :<span class=3D"Apple-converted-space">&nbsp;</span><a=
 href=3D"mailto:ntg-context@ntg.nl" class=3D"">ntg-context@ntg.nl</a><span=
 class=3D"Apple-converted-space">&nbsp;</span>/<span =
class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"http://www.ntg.nl/mailman/listinfo/ntg-context" =
class=3D"">http://www.ntg.nl/mailman/listinfo/ntg-context</a><br =
class=3D"">webpage &nbsp;:<span =
class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"http://www.pragma-ade.nl/" =
class=3D"">http://www.pragma-ade.nl</a><span =
class=3D"Apple-converted-space">&nbsp;</span>/<span =
class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"http://context.aanhet.net/" =
class=3D"">http://context.aanhet.net</a><br class=3D"">archive =
&nbsp;:<span class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"https://bitbucket.org/phg/context-mirror/commits/" =
class=3D"">https://bitbucket.org/phg/context-mirror/commits/</a><br =
class=3D"">wiki &nbsp;&nbsp;&nbsp;&nbsp;:<span =
class=3D"Apple-converted-space">&nbsp;</span><a =
href=3D"http://contextgarden.net/" =
class=3D"">http://contextgarden.net</a><br =
class=3D"">_______________________________________________________________=
____________________</p></div></blockquote></div><br =
class=3D""></body></html>=

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