From 9d92e2d6c894d5efcd2e08ecf94f93a81d605cbc Mon Sep 17 00:00:00 2001 From: Yann Esposito Date: Tue, 20 Nov 2012 14:45:45 +0100 Subject: [PATCH] added morphisms for Hask Functors --- .../img/mp/hask-endofunctor-morphisms.mp | 103 ++++++++++++++++++ .../img/mp/hask-endofunctor-morphisms.png | Bin 0 -> 188293 bytes categories/img/mp/hask-endofunctor-objects.mp | 16 +-- .../img/mp/hask-endofunctor-objects.png | Bin 170848 -> 186564 bytes categories/img/mp/hask-endofunctor.mp | 12 +- categories/img/mp/hask-endofunctor.png | Bin 66268 -> 73988 bytes 6 files changed, 117 insertions(+), 14 deletions(-) create mode 100644 categories/img/mp/hask-endofunctor-morphisms.mp create mode 100644 categories/img/mp/hask-endofunctor-morphisms.png diff --git a/categories/img/mp/hask-endofunctor-morphisms.mp b/categories/img/mp/hask-endofunctor-morphisms.mp new file mode 100644 index 0000000..9b6e8c7 --- /dev/null +++ b/categories/img/mp/hask-endofunctor-morphisms.mp @@ -0,0 +1,103 @@ +pair int,bool,func,intlist,list; +resize(.8cm); +int=origin; +% drawoptions (withcolor baseOne withpen pencircle scaled 1.2); + +intlist=int shifted (gu,0); +func=int shifted (0,-.6gu); +bool=func shifted (gu,0); +list=func shifted (2u,0); + + + +pair decal; +pair fint,fbool,ffunc,fintlist,flist; +decal := (1.7gu,0); +fint=int shifted decal; +fintlist=intlist shifted decal; +ffunc= func shifted decal; +fbool= bool shifted decal; +flist= list shifted decal; + +drawoptions(withcolor yellow withpen pencircle scaled 1); +drawLoopPoint(int,int shifted (0,1.6u),"\mathtt{sqrt}"); +drawLoopPoint(fint,fint shifted (0,1.9u),"\scriptstyle\mathtt{fmap\ sqrt}"); + +drawoptions(withcolor green withpen pencircle scaled 1); +drawEdge(int,int,"\mathtt{id}"); +drawEdge(fint,fint,"\scriptstyle\mathtt{fmap\ id}"); + +drawoptions(withcolor red withpen pencircle scaled 1); +drawEdgeAngle(int,bool,"\mathtt{odd}",-30); +drawEdgeAngle(fint,fbool,"\scriptstyle\mathtt{fmap\ odd}",-30); + +drawoptions(withcolor magenta withpen pencircle scaled 1); +drawEdgeAngle(int,bool,"\mathtt{even}",30); +drawEdgeAngle(fint,fbool,"\scriptstyle\mathtt{fmap\ even}",30); + +drawoptions(withcolor violet withpen pencircle scaled 1); +drawEdge(intlist,intlist,"\mathtt{tail}"); +drawEdge(fintlist,fintlist,"\scriptstyle\mathtt{fmap\ tail}"); + +drawoptions(withcolor blue withpen pencircle scaled 1); +drawEdge(intlist,int,"\mathtt{head}"); +drawEdge(fintlist,fint,"\scriptstyle\mathtt{fmap\ head}"); + +drawoptions(withcolor base1); +drawState(int,"\mathtt{Int}"); +drawState(fint,"\mathtt{F\ Int}"); +drawState(intlist,"\mathtt{[Int]}"); +drawState(fintlist,"\mathtt{F\ [Int]}"); +drawState(func,"\mathtt{a\rightarrow b}"); +drawState(ffunc,"\mathtt{F\ a\rightarrow b}"); +drawState(list,"\mathtt{[a]}"); +drawState(flist,"\mathtt{F\ [a]}"); +drawState(bool,"\mathtt{Bool}"); +drawState(fbool,"\mathtt{F\ Bool}"); + +drawblock(fint,fbool,"\mathtt{F}"); + +% Draw blocks +pair ff; +ff = .5[fint,fintlist] shifted (0,u); +path b; +b := block(origin,origin); +draw b scaled .5 shifted ff; +label.top(btex $\mathtt{F\ F}$ etex, blockLabelPosition(b)) scaled .5 shifted ff; +draw b scaled .25 shifted ff; +label.top(btex $\mathtt{F\ F\ F}$ etex, blockLabelPosition(b)) scaled .25 shifted ff; + +pair psqrt,pid,phead,podd,peven,ptail; +pair pfsqrt,pfid,pfhead,pfodd,pfeven,pftail; + +psqrt := midpoint(loopPoint(int,int shifted (0,1.6u))); +pid := midpoint(edge(int,int)); +podd := midpoint(edgeAngle(int,bool,-30)); +peven := midpoint(edgeAngle(int,bool,30)); +ptail := midpoint(edge(intlist,intlist)); +phead := midpoint(edge(intlist,int)); +pfsqrt := midpoint(loopPoint(fint,fint shifted (0,1.9u))); +pfid := midpoint(edge(fint,fint)); +pfodd := midpoint(edgeAngle(fint,fbool,-30)); +pfeven := midpoint(edgeAngle(fint,fbool,30)); +pftail := midpoint(edge(fintlist,fintlist)); +pfhead := midpoint(edge(fintlist,fint)); + +nodespace := 6bp; +drawoptions(withcolor yellow withpen pencircle scaled 1); +drawarrow edgeAngle(psqrt,pfsqrt,20) dashed evenly; + +drawoptions(withcolor green withpen pencircle scaled 1); +drawarrow edgeAngle(pid,pfid,20) dashed evenly; + +drawoptions(withcolor blue withpen pencircle scaled 1); +drawarrow edgeAngle(phead,pfhead,-20) dashed evenly; + +drawoptions(withcolor red withpen pencircle scaled 1); +drawarrow edgeAngle(podd,pfodd,0) dashed evenly; + +drawoptions(withcolor magenta withpen pencircle scaled 1); +drawarrow edgeAngle(peven,pfeven,-20) dashed evenly; + +drawoptions(withcolor violet withpen pencircle scaled 1); +drawarrow edgeAngle(ptail,pftail,-5) dashed evenly; diff --git a/categories/img/mp/hask-endofunctor-morphisms.png b/categories/img/mp/hask-endofunctor-morphisms.png new file mode 100644 index 0000000000000000000000000000000000000000..2906ec437b4a2d2842dc6edeee4336833c07c516 GIT binary patch literal 188293 zcmcG0c|6o>8~3!JWN9jtwMIqRT5K^$S(1V-P7yanySod_%yN}WZrkxZV&A8f*2nI z>`AAIJS*%L#wTtc?9INDzs9P_UlzBjJ@&xvm3S&%v$-WoP!Q31ceFA1p~YrtZ~h=R 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a/categories/img/mp/hask-endofunctor-objects.mp b/categories/img/mp/hask-endofunctor-objects.mp index b4bd5a8..e287ebb 100644 --- a/categories/img/mp/hask-endofunctor-objects.mp +++ b/categories/img/mp/hask-endofunctor-objects.mp @@ -25,13 +25,13 @@ ffunc= func shifted decal; fbool= bool shifted decal; flist= list shifted decal; +drawLoopPoint(fint,fint shifted (0,1.9u),"\scriptstyle\mathtt{fmap\ sqrt}"); +drawEdge(fint,fint,"\scriptstyle\mathtt{fmap\ id}"); +drawEdgeAngle(fint,fbool,"\scriptstyle\mathtt{fmap\ odd}",-30); +drawEdgeAngle(fint,fbool,"\scriptstyle\mathtt{fmap\ even}",30); +drawEdge(fintlist,fintlist,"\scriptstyle\mathtt{fmap\ tail}"); +drawEdge(fintlist,fint,"\scriptstyle\mathtt{fmap\ head}"); -drawLoopPoint(fint,fint shifted (0,1.6u),"\mathtt{sqrt}"); -drawEdge(fint,fint,"\mathtt{id}"); -drawEdgeAngle(fint,fbool,"\mathtt{odd}",-30); -drawEdgeAngle(fint,fbool,"\mathtt{even}",30); -drawEdge(fintlist,fintlist,"\mathtt{tail}"); -drawEdge(intlist,int,"\mathtt{head}"); drawblock(fint,fbool,"\mathtt{F}"); @@ -55,7 +55,7 @@ drawState(intlist,"\mathtt{[Int]}"); drawState(fintlist,"\mathtt{F\ [Int]}"); drawoptions(withcolor blue withpen pencircle scaled 1); -drawarrow edgeAngle(func,ffunc,-25) dashed evenly; +drawarrow edgeAngle(func,ffunc,-20) dashed evenly; drawState(func,"\mathtt{a\rightarrow b}"); drawState(ffunc,"\mathtt{F\ a\rightarrow b}"); @@ -65,6 +65,6 @@ drawState(list,"\mathtt{[a]}"); drawState(flist,"\mathtt{F\ [a]}"); drawoptions(withcolor magenta withpen pencircle scaled 1); -drawarrow edgeAngle(bool,fbool,-25) dashed evenly; +drawarrow edgeAngle(bool,fbool,-20) dashed evenly; drawState(bool,"\mathtt{Bool}"); drawState(fbool,"\mathtt{F\ Bool}"); diff --git a/categories/img/mp/hask-endofunctor-objects.png b/categories/img/mp/hask-endofunctor-objects.png index b6f87562a0b146355fad6a28243507754350e3a4..8843390170528e6d9e00fdb54d0b74cd4d2c559d 100644 GIT binary patch literal 186564 zcmc$`2T)U86fPP>K~d09M5!87ib$8jf&>gzkzSQ5 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