Figure Asymptote graph -- 023
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Categories : Examples 2D | Graph.asy
Tags : #Graph | #Function (drawing) | #Fraction | #Label | #Tex/latex features | #Struct
import graph; // public real xunit=1cm,yunit=1cm; 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); } struct rational { int p; int q; real ep=1/10^5; }; rational operator init() {return new rational;} rational rational(real x, real ep=1/10^5) { rational orat; int q=1; while (abs(round(q*x)-q*x)>ep) { ++q; } orat.p=round(q*x); orat.q=q; orat.ep=ep; return orat; } int pgcd(int a, int b) { int a_=abs(a), b_=abs(b), r=a_; if (b_>a_) {a_=b_; b_=r; r=a_;} while (r>0) { r=a_%b_; a_=b_; b_=r; } return a_; } string texfrac(int p, int q, string factor="", bool signin=false, bool factorin=true, bool displaystyle=false, bool zero=true) { if (p==0) return (zero ? "$0$" : ""); string disp= displaystyle ? "$\displaystyle " : "$"; int pgcd=pgcd(p,q); int num= round(p/pgcd), den= round(q/pgcd); string nums; if (num==1) if (factor=="" || (!factorin && (den !=1))) nums="1"; else nums=""; else if (num==-1) if (factor=="" || (!factorin && (den !=1))) nums="-1"; else nums="-"; else nums= (string) num; if (den==1) return "$" + nums + factor + "$"; else { string dens= (den==1) ? "" : (string) den; if (signin || num>0) if (factorin) return disp + "\frac{" + nums + factor + "}{" + (string) dens + "}$"; else return disp + "\frac{" + nums + "}{" + (string) dens + "}"+ factor + "$"; else { if (num==-1) if (factor=="" || !factorin) nums="1"; else nums=""; else nums=(string)(abs(num)); if (factorin) return disp + "-\frac{" + nums + factor + "}{" + (string) dens + "}$"; else return disp + "-\frac{" + nums + "}{" + (string) dens + "}"+ factor + "$"; } } } string texfrac(rational x, string factor="", bool signin=false, bool factorin=true, bool displaystyle=false, bool zero=true) { return texfrac(x.p, x.q, factor, signin, factorin, displaystyle, zero); } ticklabel labelfrac(real ep=1/10^5, real factor=1.0, string symbol="", bool signin=false, bool symbolin=true, bool displaystyle=false, bool zero=true) { return new string(real x) { return texfrac(rational(x/factor), symbol, signin, symbolin, displaystyle, zero); }; } ticklabel labelfrac=labelfrac(); 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=true) { 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); yequals(pic, 0, xmin, xmax, p, xticks, above); xequals(pic, Ly, 0, ymin-extraheight, ymax+extraheight, p, above, arrow=arrow); 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); } void labeloIJ(picture pic=currentpicture, Label Lo=Label("$O$",NoFill), Label LI=Label("$I$",NoFill), Label LJ=Label("$J$",NoFill), pair diro=SW, pair dirI=S, pair dirJ=W, pen p=currentpen, filltype filltype=NoFill, arrowbar arrow=Arrow) { if (Lo.filltype==NoFill) Lo.filltype=filltype; if (LI.filltype==NoFill) LI.filltype=filltype; if (LJ.filltype==NoFill) LJ.filltype=filltype; labelx(pic, LI, 1, dirI, p); labely(pic, LJ, 1, dirJ, p); labelx(pic, Lo, 0, diro, p); dot(pic, (0,0), dotsize(p)+p); } graphicrules(xunit=1cm, yunit=3cm, xmin=-2pi, xmax=2pi, ymin=-1, ymax=1); grid(xStep=pi/2, xstep=pi/4, yStep=.5, ystep=.25); cartesianaxis(xticks=Ticks(Label(UnFill),labelfrac(factor=pi,symbol="\pi",symbolin=true, zero=false),Step=pi/2, step=pi/4, ptick=grey), yticks=Ticks(Label(UnFill),labelfrac(zero=false),Step=.5,step=.25, ptick=grey), arrow=None); dot("$O$",(0,0),2SW);