METAPOST equivalent to TikZ polar coordinates?










5















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



documentclassarticle
usepackagetikz

begindocument
begintikzpicture
[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;
endtikzpicture
enddocument


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 '18 at 20:21
















5















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



documentclassarticle
usepackagetikz

begindocument
begintikzpicture
[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;
endtikzpicture
enddocument


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 '18 at 20:21














5












5








5


1






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



documentclassarticle
usepackagetikz

begindocument
begintikzpicture
[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;
endtikzpicture
enddocument


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



documentclassarticle
usepackagetikz

begindocument
begintikzpicture
[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;
endtikzpicture
enddocument


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






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Nov 15 '18 at 20:02









sztrukssztruks

1,6541817




1,6541817












  • 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 '18 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 '18 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 '18 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 '18 at 20:21











1 Answer
1






active

oldest

votes


















7














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 '18 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 '18 at 21:42











  • As a matter of style you could also write 3 dir 60 scaled u.

    – Thruston
    Nov 15 '18 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 '18 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 '18 at 21:55










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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









7














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 '18 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 '18 at 21:42











  • As a matter of style you could also write 3 dir 60 scaled u.

    – Thruston
    Nov 15 '18 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 '18 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 '18 at 21:55















7














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 '18 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 '18 at 21:42











  • As a matter of style you could also write 3 dir 60 scaled u.

    – Thruston
    Nov 15 '18 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 '18 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 '18 at 21:55













7












7








7







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 '18 at 20:16









Henri MenkeHenri Menke

76.9k8168283




76.9k8168283












  • 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 '18 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 '18 at 21:42











  • As a matter of style you could also write 3 dir 60 scaled u.

    – Thruston
    Nov 15 '18 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 '18 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 '18 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 '18 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 '18 at 21:42











  • As a matter of style you could also write 3 dir 60 scaled u.

    – Thruston
    Nov 15 '18 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 '18 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 '18 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 '18 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 '18 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 '18 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 '18 at 21:42













As a matter of style you could also write 3 dir 60 scaled u.

– Thruston
Nov 15 '18 at 21:47





As a matter of style you could also write 3 dir 60 scaled u.

– Thruston
Nov 15 '18 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 '18 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 '18 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 '18 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 '18 at 21:55

















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