* metafun: circular arc
@ 2021-10-05 14:58 Thomas A. Schmitz via ntg-context
2021-10-05 16:38 ` Hans Hagen via ntg-context
0 siblings, 1 reply; 4+ messages in thread
From: Thomas A. Schmitz via ntg-context @ 2021-10-05 14:58 UTC (permalink / raw)
To: ntg-context; +Cc: Thomas A. Schmitz
Hi all,
I hope the following example is not too convoluted:
\useMPlibrary [txt]
\define\EmpArrow{\getscaledglyph{1.6}{name:dejavumath}{\char"2B05}}
\setupbodyfont [ss,9pt]
\starttext
\startuseMPgraphic{empedocles}
%numeric a ; a = 6.56cm ;
%numeric b ; b = 1.1 ;
save S; path S[] ;
S[1] = fullcircle scaled 8cm rotated 306 ;
S[2] = S[1] scaled 1.1 ;
S[3] = S[1] scaled 1.23 ;
S[4] = S[1] scaled 1.3 ;
S[5] = S[1] scaled 1.43 ;
S[6] = S[1] scaled 1.5 ;
S[7] = S[1] scaled 1.6 ;
z[1] = point 1 along S[7] ;
z[2] = point 1 along S[1] ;
z[3] = point 0.1 along S[7] ;
z[4] = point 0.1 along S[1] ;
z[5] = point 0.2 along S[7] ;
z[6] = point 0.2 along S[1] ;
z[7] = point 0.3 along S[7] ;
z[8] = point 0.3 along S[1] ;
z[9] = point 0.4 along S[7] ;
z[10] = point 0.4 along S[1] ;
z[11] = point 0.5 along S[7] ;
z[12] = point 0.5 along S[1] ;
z[13] = point 0.6 along S[7] ;
z[14] = point 0.6 along S[1] ;
z[15] = point 0.7 along S[7] ;
z[16] = point 0.7 along S[1] ;
z[17] = point 0.8 along S[7] ;
z[18] = point 0.8 along S[1] ;
S[8] = z[1] -- z[2] ;
S[9] = z[3] -- z[4] ;
S[10] = z[5] -- z[6] ;
S[11] = z[7] -- z[8] ;
S[12] = z[9] -- z[10] ;
S[13] = z[11] -- z[12] ;
S[14] = z[13] -- z[14] ;
S[15] = z[15] -- z[16] ;
S[16] = z[17] -- z[18] ;
z[19] = S[3] intersection_point S[8] ;
z[20] = S[3] intersection_point S[16] ;
S[18] = S[3] cutbefore z[20] cutafter z[19] ;
z[21] = S[5] intersection_point S[8] ;
z[22] = S[5] intersection_point S[16] ;
S[19] = S[5] cutbefore z[22] cutafter z[21] ;
z[23] = S[12] intersection_point S[3] ;
S[20] = S[3] cutbefore z[20] cutafter z[23] ;
for i = 1 upto 16:
draw S[i] withcolor 0.7white ;
endfor ;
draw z[23] -- z[20] withcolor red ;
draw S[20] withcolor blue ;
label.bot(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
20.000 = 0}"), z[10]) ;
label.llft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
2.000}"), z[8]) ;
label.lft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
4.000}"), z[6]) ;
label.lft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
6.000}"), z[4]) ;
label.ulft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
8.000}"), z[2]) ;
label.urt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
12.000}"), z[18]) ;
label.rt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
14.000}"), z[16]) ;
label.rt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
16.000}"), z[14]) ;
label.lrt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
18.000}"), z[12]) ;
draw followtext(S[18], "\strut\hbox to 2em{\EmpArrow}\hskip2em
RUHEPAUSE\hskip4em\strut") ;
draw followtext(S[19], "\strut\hbox to 2em{\EmpArrow}EINHEIT
(SPHAIROS)\hskip2em\strut") ;
\stopuseMPgraphic
\useMPgraphic{empedocles}
\stoptext
I have a big problem and some smaller questions, for those who are
better at math and at metafun than I am:
1. The big problem: for the next followtext, I need the circular arc
between points z[23] and z[20]. But however I place the cutbefore and
cutafter, I don't get the proper part of the circle. I'm looking at the
right intersection points, as the red line shows, but the blue line
shows that I'm not getting the right section of the circle. How can I
get this section into the path S[20]?
2. Math... :-) Is there a better way to define three circles that are at
exactly the same distance than my naive "scaled 1.3" and "scaled 1.5"?
3. TeX and metafun: is there a better way to have the followtext exactly
centered between the two circles rather than just fiddle with the scale
factor?
4. Or is there a better approach to my problem altogether? I'm trying to
reproduce an illustration from a book, so I'm very open to suggestions
here. I looked at the example in the metafun manual chapter 10.4, but
I'm not sure if using an overlay and multiple \followtokens would be
easier. Especially since there is the scary remark "This definition is
not the right one!" in this chapter without any further explanation.
I hope you all had a wonderful meeting last week. I was sad I couldn't
come, I was in Paris for a conference, the first after 18 months, so I
couldn't skip this one.
Thanks and best wishes
Thomas
___________________________________________________________________________________
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maillist : ntg-context@ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
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___________________________________________________________________________________
^ permalink raw reply [flat|nested] 4+ messages in thread* Re: metafun: circular arc
2021-10-05 14:58 metafun: circular arc Thomas A. Schmitz via ntg-context
@ 2021-10-05 16:38 ` Hans Hagen via ntg-context
2021-10-05 21:32 ` Thomas A. Schmitz via ntg-context
0 siblings, 1 reply; 4+ messages in thread
From: Hans Hagen via ntg-context @ 2021-10-05 16:38 UTC (permalink / raw)
To: mailing list for ConTeXt users; +Cc: Hans Hagen, Thomas A. Schmitz
On 10/5/2021 4:58 PM, Thomas A. Schmitz via ntg-context wrote:
>
> Hi all,
>
> I hope the following example is not too convoluted:
>
> \useMPlibrary [txt]
>
> \define\EmpArrow{\getscaledglyph{1.6}{name:dejavumath}{\char"2B05}}
>
> \setupbodyfont [ss,9pt]
>
> \starttext
>
> \startuseMPgraphic{empedocles}
> %numeric a ; a = 6.56cm ;
> %numeric b ; b = 1.1 ;
> save S; path S[] ;
> S[1] = fullcircle scaled 8cm rotated 306 ;
> S[2] = S[1] scaled 1.1 ;
> S[3] = S[1] scaled 1.23 ;
> S[4] = S[1] scaled 1.3 ;
> S[5] = S[1] scaled 1.43 ;
> S[6] = S[1] scaled 1.5 ;
> S[7] = S[1] scaled 1.6 ;
> z[1] = point 1 along S[7] ;
> z[2] = point 1 along S[1] ;
> z[3] = point 0.1 along S[7] ;
> z[4] = point 0.1 along S[1] ;
> z[5] = point 0.2 along S[7] ;
> z[6] = point 0.2 along S[1] ;
> z[7] = point 0.3 along S[7] ;
> z[8] = point 0.3 along S[1] ;
> z[9] = point 0.4 along S[7] ;
> z[10] = point 0.4 along S[1] ;
> z[11] = point 0.5 along S[7] ;
> z[12] = point 0.5 along S[1] ;
> z[13] = point 0.6 along S[7] ;
> z[14] = point 0.6 along S[1] ;
> z[15] = point 0.7 along S[7] ;
> z[16] = point 0.7 along S[1] ;
> z[17] = point 0.8 along S[7] ;
> z[18] = point 0.8 along S[1] ;
> S[8] = z[1] -- z[2] ;
> S[9] = z[3] -- z[4] ;
> S[10] = z[5] -- z[6] ;
> S[11] = z[7] -- z[8] ;
> S[12] = z[9] -- z[10] ;
> S[13] = z[11] -- z[12] ;
> S[14] = z[13] -- z[14] ;
> S[15] = z[15] -- z[16] ;
> S[16] = z[17] -- z[18] ;
> z[19] = S[3] intersection_point S[8] ;
> z[20] = S[3] intersection_point S[16] ;
> S[18] = S[3] cutbefore z[20] cutafter z[19] ;
> z[21] = S[5] intersection_point S[8] ;
> z[22] = S[5] intersection_point S[16] ;
> S[19] = S[5] cutbefore z[22] cutafter z[21] ;
> z[23] = S[12] intersection_point S[3] ;
> S[20] = S[3] cutbefore z[20] cutafter z[23] ;
> for i = 1 upto 16:
> draw S[i] withcolor 0.7white ;
> endfor ;
> draw z[23] -- z[20] withcolor red ;
> draw S[20] withcolor blue ;
> label.bot(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 20.000 = 0}"), z[10]) ;
> label.llft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 2.000}"), z[8]) ;
> label.lft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 4.000}"), z[6]) ;
> label.lft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 6.000}"), z[4]) ;
> label.ulft(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 8.000}"), z[2]) ;
> label.urt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 12.000}"), z[18]) ;
> label.rt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 14.000}"), z[16]) ;
> label.rt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 16.000}"), z[14]) ;
> label.lrt(textext("\noexpand\framed[align=middle,frame=off]{Jahr \crlf
> 18.000}"), z[12]) ;
> draw followtext(S[18], "\strut\hbox to 2em{\EmpArrow}\hskip2em
> RUHEPAUSE\hskip4em\strut") ;
> draw followtext(S[19], "\strut\hbox to 2em{\EmpArrow}EINHEIT
> (SPHAIROS)\hskip2em\strut") ;
> \stopuseMPgraphic
>
> \useMPgraphic{empedocles}
>
> \stoptext
>
> I have a big problem and some smaller questions, for those who are
> better at math and at metafun than I am:
>
> 1. The big problem: for the next followtext, I need the circular arc
> between points z[23] and z[20]. But however I place the cutbefore and
> cutafter, I don't get the proper part of the circle. I'm looking at the
> right intersection points, as the red line shows, but the blue line
> shows that I'm not getting the right section of the circle. How can I
> get this section into the path S[20]?
>
> 2. Math... :-) Is there a better way to define three circles that are at
> exactly the same distance than my naive "scaled 1.3" and "scaled 1.5"?
>
> 3. TeX and metafun: is there a better way to have the followtext exactly
> centered between the two circles rather than just fiddle with the scale
> factor?
>
> 4. Or is there a better approach to my problem altogether? I'm trying to
> reproduce an illustration from a book, so I'm very open to suggestions
> here. I looked at the example in the metafun manual chapter 10.4, but
> I'm not sure if using an overlay and multiple \followtokens would be
> easier. Especially since there is the scary remark "This definition is
> not the right one!" in this chapter without any further explanation.
>
> I hope you all had a wonderful meeting last week. I was sad I couldn't
> come, I was in Paris for a conference, the first after 18 months, so I
> couldn't skip this one.
Because you know how to rotate and scale:
\startuseMPgraphic{empedocless}
path p, q, r ;
pair a ;
p := fullcircle scaled 10cm ;
drawarrow p withpen pencircle scaled 1mm withcolor red ;
draw point 0 of p withpen pencircle scaled 1mm withcolor blue ;
q := p cutafter (point .4 along p) ;
drawarrow q withpen pencircle scaled .5mm withcolor green ;
draw followtext(q, "\strut TEXT ONE") ;
p := fullcircle scaled 8cm ;
drawarrow p withpen pencircle scaled 1mm withcolor cyan ;
draw point 0 of p withpen pencircle scaled 1mm withcolor magenta ;
q := p cutafter (point .3 along p) ;
q := q rotated 120 ;
drawarrow q withpen pencircle scaled .5mm withcolor yellow ;
draw followtext(q, "\strut TEXT TWO") ;
% the real deal: best make a macro for this
p := fullcircle scaled 6cm ;
draw point 0 of p withpen pencircle scaled 5mm withcolor blue ;
drawarrow p withpen pencircle scaled 1mm withcolor red ;
a := (point eps of p) rotated 45 ;
draw a withpen pencircle scaled 2mm;
q := p cutafter a ;
q := q rotated 20 ;
drawarrow q withpen pencircle scaled .5mm withcolor green ;
draw followtext(q, "\strut TEXT TWO") ;
\stopuseMPgraphic
\useMPgraphic{empedocless}
So, just always start at point 0 and then just rotate the cutof piece
over the angle that you want. The eps in the last case makes that we
actually have a cut off piece (zero fails here).
So ... solution 4. best suits non math gurus (like you and me).
Hans
-----------------------------------------------------------------
Hans Hagen | PRAGMA ADE
Ridderstraat 27 | 8061 GH Hasselt | The Netherlands
tel: 038 477 53 69 | www.pragma-ade.nl | www.pragma-pod.nl
-----------------------------------------------------------------
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!
maillist : ntg-context@ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
webpage : http://www.pragma-ade.nl / http://context.aanhet.net
archive : https://bitbucket.org/phg/context-mirror/commits/
wiki : http://contextgarden.net
___________________________________________________________________________________
^ permalink raw reply [flat|nested] 4+ messages in thread* Re: metafun: circular arc
2021-10-05 16:38 ` Hans Hagen via ntg-context
@ 2021-10-05 21:32 ` Thomas A. Schmitz via ntg-context
2021-10-06 5:36 ` Floris van Manen via ntg-context
0 siblings, 1 reply; 4+ messages in thread
From: Thomas A. Schmitz via ntg-context @ 2021-10-05 21:32 UTC (permalink / raw)
To: Hans Hagen, ntg-context; +Cc: Thomas A. Schmitz
Thank you so much, Hans, that's a neat solution! I was banging my head
against the wall, but this makes sense.
On 10/5/21 6:38 PM, Hans Hagen wrote:
> Because you know how to rotate and scale:
>
> \startuseMPgraphic{empedocless}
> path p, q, r ;
> pair a ;
>
> p := fullcircle scaled 10cm ;
> drawarrow p withpen pencircle scaled 1mm withcolor red ;
> draw point 0 of p withpen pencircle scaled 1mm withcolor blue ;
> q := p cutafter (point .4 along p) ;
> drawarrow q withpen pencircle scaled .5mm withcolor green ;
> draw followtext(q, "\strut TEXT ONE") ;
>
> p := fullcircle scaled 8cm ;
> drawarrow p withpen pencircle scaled 1mm withcolor cyan ;
> draw point 0 of p withpen pencircle scaled 1mm withcolor magenta ;
> q := p cutafter (point .3 along p) ;
> q := q rotated 120 ;
> drawarrow q withpen pencircle scaled .5mm withcolor yellow ;
> draw followtext(q, "\strut TEXT TWO") ;
>
> % the real deal: best make a macro for this
>
> p := fullcircle scaled 6cm ;
> draw point 0 of p withpen pencircle scaled 5mm withcolor blue ;
> drawarrow p withpen pencircle scaled 1mm withcolor red ;
> a := (point eps of p) rotated 45 ;
> draw a withpen pencircle scaled 2mm;
> q := p cutafter a ;
> q := q rotated 20 ;
> drawarrow q withpen pencircle scaled .5mm withcolor green ;
> draw followtext(q, "\strut TEXT TWO") ;
>
> \stopuseMPgraphic
>
> \useMPgraphic{empedocless}
>
> So, just always start at point 0 and then just rotate the cutof piece
> over the angle that you want. The eps in the last case makes that we
> actually have a cut off piece (zero fails here).
>
> So ... solution 4. best suits non math gurus (like you and me).
This is the part of your reply that fails to convince. You don't even
know how bad I am at math...
Thanks, and all best
Thomas
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!
maillist : ntg-context@ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
webpage : http://www.pragma-ade.nl / http://context.aanhet.net
archive : https://bitbucket.org/phg/context-mirror/commits/
wiki : http://contextgarden.net
___________________________________________________________________________________
^ permalink raw reply [flat|nested] 4+ messages in thread* Re: metafun: circular arc
2021-10-05 21:32 ` Thomas A. Schmitz via ntg-context
@ 2021-10-06 5:36 ` Floris van Manen via ntg-context
0 siblings, 0 replies; 4+ messages in thread
From: Floris van Manen via ntg-context @ 2021-10-06 5:36 UTC (permalink / raw)
To: ntg-context; +Cc: Floris van Manen
In the example the text is drawn as:
draw followtext(q, "\strut TEXT ONE")
it looks as if the \strut generates a space before the text.
e.g. if you omit the \strut, the text will align at the start point.
In my perception, the \strut is a zero width box, so it should not
generate the space before.
But I might be wrong here (most likely ;-)
.F
On 05/10/2021 23:32, Thomas A. Schmitz via ntg-context wrote:
>
> \startuseMPgraphic{empedocless}
> path p, q, r ;
> pair a ;
>
> p := fullcircle scaled 10cm ;
> drawarrow p withpen pencircle scaled 1mm withcolor red ;
> draw point 0 of p withpen pencircle scaled 1mm withcolor blue ;
> q := p cutafter (point .4 along p) ;
> drawarrow q withpen pencircle scaled .5mm withcolor green ;
> draw followtext(q, "\strut TEXT ONE") ;
>
> p := fullcircle scaled 8cm ;
> drawarrow p withpen pencircle scaled 1mm withcolor cyan ;
> draw point 0 of p withpen pencircle scaled 1mm withcolor magenta ;
> q := p cutafter (point .3 along p) ;
> q := q rotated 120 ;
> drawarrow q withpen pencircle scaled .5mm withcolor yellow ;
> draw followtext(q, "\strut TEXT TWO") ;
>
> % the real deal: best make a macro for this
>
> p := fullcircle scaled 6cm ;
> draw point 0 of p withpen pencircle scaled 5mm withcolor blue ;
> drawarrow p withpen pencircle scaled 1mm withcolor red ;
> a := (point eps of p) rotated 45 ;
> draw a withpen pencircle scaled 2mm;
> q := p cutafter a ;
> q := q rotated 20 ;
> drawarrow q withpen pencircle scaled .5mm withcolor green ;
> draw followtext(q, "\strut TEXT TWO") ;
>
> \stopuseMPgraphic
>
> \useMPgraphic{empedocless}
___________________________________________________________________________________
If your question is of interest to others as well, please add an entry to the Wiki!
maillist : ntg-context@ntg.nl / http://www.ntg.nl/mailman/listinfo/ntg-context
webpage : http://www.pragma-ade.nl / http://context.aanhet.net
archive : https://bitbucket.org/phg/context-mirror/commits/
wiki : http://contextgarden.net
___________________________________________________________________________________
^ permalink raw reply [flat|nested] 4+ messages in thread
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2021-10-05 14:58 metafun: circular arc Thomas A. Schmitz via ntg-context
2021-10-05 16:38 ` Hans Hagen via ntg-context
2021-10-05 21:32 ` Thomas A. Schmitz via ntg-context
2021-10-06 5:36 ` Floris van Manen via ntg-context
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