27 Aug 2007

## Asymptote using graph.asy – fig0200

 (Compiled with Asymptote version 1.84svn-r4619)

import graph;

void graphicrules(picture pic=currentpicture, string prefix=defaultfilename, real unit=1cm,
real xunit=unit != 0 ? unit : 0,
real yunit=unit != 0 ? unit : 0,
real xmin, real xmax, real ymin, real ymax)
{
xlimits(xmin, xmax);
ylimits(ymin, ymax);
unitsize(x=xunit, y=yunit);
}

void grid(picture pic=currentpicture,
real xmin=pic.userMin().x, real xmax=pic.userMax().x,
real ymin=pic.userMin().y, real ymax=pic.userMax().y,
real xStep=1, real xstep=.5,
real yStep=1, real ystep=.5,
pen pTick=nullpen, pen ptick=grey, bool above=false)
{
draw(pic,box((xmin,ymin),(xmax,ymax)),invisible);
xaxis(pic, BottomTop, xmin, xmax, Ticks("%",extend=true,Step=xStep,step=xstep,pTick=pTick,ptick=ptick), above=above);
yaxis(pic, LeftRight, ymin, ymax, Ticks("%",extend=true,Step=yStep,step=ystep,pTick=pTick,ptick=ptick), above=above);
}

void cartesianaxis(picture pic=currentpicture,
Label Lx=Label("$x$",align=S),
Label Ly=Label("$y$",align=W),
real xmin=pic.userMin().x, real xmax=pic.userMax().x,
real ymin=pic.userMin().y, real ymax=pic.userMax().y,
real extrawidth=1, real extraheight=extrawidth,
pen p=currentpen,
ticks xticks=Ticks("%",pTick=nullpen, ptick=grey),
ticks yticks=Ticks("%",pTick=nullpen, ptick=grey),
bool above=true,
arrowbar arrow=Arrow)
{
extraheight= cm*extraheight/(2*pic.yunitsize);
extrawidth = cm*extrawidth/(2*pic.xunitsize);
yequals(pic, Lx, 0, xmin-extrawidth, xmax+extrawidth, p, above, arrow=arrow);
xequals(pic, Ly, 0, ymin-extraheight, ymax+extraheight, p, above, arrow=arrow);
yequals(pic, 0, xmin, xmax, p, xticks, above);
xequals(pic, 0, ymin, ymax, p, yticks, above);
}

void labeloij(picture pic=currentpicture,
Label Lo=Label("$O$",NoFill),
Label Li=Label("$\vec{\imath}$",NoFill),
Label Lj=Label("$\vec{\jmath}$",NoFill),
pair diro=SW, pair diri=S, pair dirj=W,
pen p=scale(2)*currentpen,
filltype filltype=NoFill, arrowbar arrow=Arrow(2mm))
{
if (Lo.filltype==NoFill) Lo.filltype=filltype;
if (Li.filltype==NoFill) Li.filltype=filltype;
if (Lj.filltype==NoFill) Lj.filltype=filltype;
labelx(pic, Lo, 0, diro, p);
draw(pic, Li, (0,0)--(1,0), diri, p, arrow);
draw(pic, Lj, (0,0)--(0,1), dirj, p, arrow);
dot(pic, (0,0), dotsize(p)+p);
}

//The figure starts here
graphicrules(yunit=1.5cm, xmin=-3, xmax=3, ymin=-2, ymax=2);
grid();
cartesianaxis(arrow=None);
labeloij(UnFill);



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