METAPOST equivalent to TikZ polar coordinates?











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down vote

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When drawing with TikZ, I find sometime convenient to use polar coordinates (angle:distance), as in this MWE



documentclass{article}
usepackage{tikz}

begin{document}
begin{tikzpicture}
[pole/.style={circle,draw=gray,fill=gray,thick,text width=2cm, align=center}]
node[pole] (eur) at (60:3cm) {Europe};
node[pole] (afr) at (300:3cm) {Afrique};
node[pole] (amq) at (180:3cm) {Amérique};
end{tikzpicture}
end{document}


How can I get a similar effect using METAPOST ? I could'nt find direct answer in the manual. I am quite sure one can achieve the same with a good knowledge of geometry. It would be good for scripting.



So far, my METAPOST equivalent would be



beginfig(1);
u:=1cm ;
label(btex Amérique etex, (-3u,0) ) ;
label(btex Europe etex, (u,2u) ) ;
label(btex Afrique etex, (u,-2u) ) ;
endfig ;
end


Of course this are not polar coordinates and I am even not sure angles are the same as in TikZ.
Since I am not a scientist, I would be glad to have some explanation if some geometry knowledge is required.










share|improve this question






















  • You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
    – Henri Menke
    Nov 15 at 20:21

















up vote
5
down vote

favorite
1












When drawing with TikZ, I find sometime convenient to use polar coordinates (angle:distance), as in this MWE



documentclass{article}
usepackage{tikz}

begin{document}
begin{tikzpicture}
[pole/.style={circle,draw=gray,fill=gray,thick,text width=2cm, align=center}]
node[pole] (eur) at (60:3cm) {Europe};
node[pole] (afr) at (300:3cm) {Afrique};
node[pole] (amq) at (180:3cm) {Amérique};
end{tikzpicture}
end{document}


How can I get a similar effect using METAPOST ? I could'nt find direct answer in the manual. I am quite sure one can achieve the same with a good knowledge of geometry. It would be good for scripting.



So far, my METAPOST equivalent would be



beginfig(1);
u:=1cm ;
label(btex Amérique etex, (-3u,0) ) ;
label(btex Europe etex, (u,2u) ) ;
label(btex Afrique etex, (u,-2u) ) ;
endfig ;
end


Of course this are not polar coordinates and I am even not sure angles are the same as in TikZ.
Since I am not a scientist, I would be glad to have some explanation if some geometry knowledge is required.










share|improve this question






















  • You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
    – Henri Menke
    Nov 15 at 20:21















up vote
5
down vote

favorite
1









up vote
5
down vote

favorite
1






1





When drawing with TikZ, I find sometime convenient to use polar coordinates (angle:distance), as in this MWE



documentclass{article}
usepackage{tikz}

begin{document}
begin{tikzpicture}
[pole/.style={circle,draw=gray,fill=gray,thick,text width=2cm, align=center}]
node[pole] (eur) at (60:3cm) {Europe};
node[pole] (afr) at (300:3cm) {Afrique};
node[pole] (amq) at (180:3cm) {Amérique};
end{tikzpicture}
end{document}


How can I get a similar effect using METAPOST ? I could'nt find direct answer in the manual. I am quite sure one can achieve the same with a good knowledge of geometry. It would be good for scripting.



So far, my METAPOST equivalent would be



beginfig(1);
u:=1cm ;
label(btex Amérique etex, (-3u,0) ) ;
label(btex Europe etex, (u,2u) ) ;
label(btex Afrique etex, (u,-2u) ) ;
endfig ;
end


Of course this are not polar coordinates and I am even not sure angles are the same as in TikZ.
Since I am not a scientist, I would be glad to have some explanation if some geometry knowledge is required.










share|improve this question













When drawing with TikZ, I find sometime convenient to use polar coordinates (angle:distance), as in this MWE



documentclass{article}
usepackage{tikz}

begin{document}
begin{tikzpicture}
[pole/.style={circle,draw=gray,fill=gray,thick,text width=2cm, align=center}]
node[pole] (eur) at (60:3cm) {Europe};
node[pole] (afr) at (300:3cm) {Afrique};
node[pole] (amq) at (180:3cm) {Amérique};
end{tikzpicture}
end{document}


How can I get a similar effect using METAPOST ? I could'nt find direct answer in the manual. I am quite sure one can achieve the same with a good knowledge of geometry. It would be good for scripting.



So far, my METAPOST equivalent would be



beginfig(1);
u:=1cm ;
label(btex Amérique etex, (-3u,0) ) ;
label(btex Europe etex, (u,2u) ) ;
label(btex Afrique etex, (u,-2u) ) ;
endfig ;
end


Of course this are not polar coordinates and I am even not sure angles are the same as in TikZ.
Since I am not a scientist, I would be glad to have some explanation if some geometry knowledge is required.







metapost






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share|improve this question











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share|improve this question










asked Nov 15 at 20:02









sztruks

1,383717




1,383717












  • You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
    – Henri Menke
    Nov 15 at 20:21




















  • You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
    – Henri Menke
    Nov 15 at 20:21


















You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
– Henri Menke
Nov 15 at 20:21






You can easily convert r and φ to cartesian coordinates using the prescription (x,y) = (r*cos(φ),r*sin(φ))
– Henri Menke
Nov 15 at 20:21












1 Answer
1






active

oldest

votes

















up vote
7
down vote



accepted










Use the dir operator. From the MetaPost manual:



enter image description here



Here with MetaFun in ConTeXt:



startMPpage
u:=1cm ;
label(btex Amérique etex, 3u*dir 60) ;
label(btex Europe etex, 3u*dir 300) ;
label(btex Afrique etex, 3u*dir 180) ;
stopMPpage





share|improve this answer





















  • Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
    – sztruks
    Nov 15 at 21:24










  • There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
    – Thruston
    Nov 15 at 21:42










  • As a matter of style you could also write 3 dir 60 scaled u.
    – Thruston
    Nov 15 at 21:47










  • @Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
    – Henri Menke
    Nov 15 at 21:50












  • Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
    – Thruston
    Nov 15 at 21:55











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1 Answer
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active

oldest

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1 Answer
1






active

oldest

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active

oldest

votes








up vote
7
down vote



accepted










Use the dir operator. From the MetaPost manual:



enter image description here



Here with MetaFun in ConTeXt:



startMPpage
u:=1cm ;
label(btex Amérique etex, 3u*dir 60) ;
label(btex Europe etex, 3u*dir 300) ;
label(btex Afrique etex, 3u*dir 180) ;
stopMPpage





share|improve this answer





















  • Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
    – sztruks
    Nov 15 at 21:24










  • There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
    – Thruston
    Nov 15 at 21:42










  • As a matter of style you could also write 3 dir 60 scaled u.
    – Thruston
    Nov 15 at 21:47










  • @Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
    – Henri Menke
    Nov 15 at 21:50












  • Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
    – Thruston
    Nov 15 at 21:55















up vote
7
down vote



accepted










Use the dir operator. From the MetaPost manual:



enter image description here



Here with MetaFun in ConTeXt:



startMPpage
u:=1cm ;
label(btex Amérique etex, 3u*dir 60) ;
label(btex Europe etex, 3u*dir 300) ;
label(btex Afrique etex, 3u*dir 180) ;
stopMPpage





share|improve this answer





















  • Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
    – sztruks
    Nov 15 at 21:24










  • There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
    – Thruston
    Nov 15 at 21:42










  • As a matter of style you could also write 3 dir 60 scaled u.
    – Thruston
    Nov 15 at 21:47










  • @Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
    – Henri Menke
    Nov 15 at 21:50












  • Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
    – Thruston
    Nov 15 at 21:55













up vote
7
down vote



accepted







up vote
7
down vote



accepted






Use the dir operator. From the MetaPost manual:



enter image description here



Here with MetaFun in ConTeXt:



startMPpage
u:=1cm ;
label(btex Amérique etex, 3u*dir 60) ;
label(btex Europe etex, 3u*dir 300) ;
label(btex Afrique etex, 3u*dir 180) ;
stopMPpage





share|improve this answer












Use the dir operator. From the MetaPost manual:



enter image description here



Here with MetaFun in ConTeXt:



startMPpage
u:=1cm ;
label(btex Amérique etex, 3u*dir 60) ;
label(btex Europe etex, 3u*dir 300) ;
label(btex Afrique etex, 3u*dir 180) ;
stopMPpage






share|improve this answer












share|improve this answer



share|improve this answer










answered Nov 15 at 20:16









Henri Menke

67.6k7150255




67.6k7150255












  • Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
    – sztruks
    Nov 15 at 21:24










  • There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
    – Thruston
    Nov 15 at 21:42










  • As a matter of style you could also write 3 dir 60 scaled u.
    – Thruston
    Nov 15 at 21:47










  • @Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
    – Henri Menke
    Nov 15 at 21:50












  • Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
    – Thruston
    Nov 15 at 21:55


















  • Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
    – sztruks
    Nov 15 at 21:24










  • There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
    – Thruston
    Nov 15 at 21:42










  • As a matter of style you could also write 3 dir 60 scaled u.
    – Thruston
    Nov 15 at 21:47










  • @Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
    – Henri Menke
    Nov 15 at 21:50












  • Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
    – Thruston
    Nov 15 at 21:55
















Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
– sztruks
Nov 15 at 21:24




Thanks. I wouldn't have been able to find this on my own. It's been too long since I learnt what does cos and sin reflect… But now I see the point.
– sztruks
Nov 15 at 21:24












There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
– Thruston
Nov 15 at 21:42




There is also an operator angle that does the opposite, so that angle dir 60 should return 60. A bit like atan2 in other languages.
– Thruston
Nov 15 at 21:42












As a matter of style you could also write 3 dir 60 scaled u.
– Thruston
Nov 15 at 21:47




As a matter of style you could also write 3 dir 60 scaled u.
– Thruston
Nov 15 at 21:47












@Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
– Henri Menke
Nov 15 at 21:50






@Thruston angle does exactly perform atan2 (at least in double and decimal mode) github.com/TeX-Live/texlive-source/blob/…
– Henri Menke
Nov 15 at 21:50














Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
– Thruston
Nov 15 at 21:55




Yes quite right. In my old-fashioned British way, when I say “a bit like” I mean “exactly the same as”…
– Thruston
Nov 15 at 21:55


















 

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