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comment
xlogplot, xylogplot defined
endcomment
function xticks (aa=0,bb=0)
if argn==2; a=aa; b=bb;
elseif argn==1; a=min(aa); b=max(aa);
else error("Wrong arguments for ticks");
endif;
if (b>1e30); b=1e30; endif;
if (a<-1e30); a=-1e30; endif;
if (a>=b); b=a+1; endif;
tick=10^floor(log(b-a)/log(10)-0.4);
if b-a>10*tick; tick1=tick*2; else; tick1=tick; endif;
if (tick>0.001) && (tick<1000); tick=1; endif;
return (floor(a/tick1))*tick1:tick1:(ceil(b/tick1))*tick1;
endfunction;
function xlogticks(expi,expf,base)
x=[ ];
for k = floor(expi) to floor(expf);
x = x | logbase(1:base,base) + k;
end;
return x;
endfunction;
function xlogplot(x=1,y=0,xbase=10)
## xlogplot draws y(x) in a semilog paper with base xbase
if argn()==0;
p=plot();
else
if !holding();clg;endif;
if iscomplex(x); xe=abs(x); else xe=x; endif;
if iscomplex(y); ye=abs(y); else ye=y; endif;
xl=logbase(xe,xbase);
expi=floor(logbase(min(xe),xbase));
expf=ceil(logbase(max(xe),xbase));
xt=xlogticks(expi,expf,xbase);
yt=xticks(min(ye),max(ye));
p=setplot([expi,expf,min(yt),max(yt)]);
h=textheight();w=textwidth();
hd=holding(1);
ls=linestyle(".");
lw=linewidth(1);
c=color(1);
for i=1 to length(yt);
plot([expi,expf],[yt[i],yt[i]]);
d=toscreen([expi,yt[i]]);
rtext(printf("%g",yt[i]),[d[1]-w,d[2]-h/2]);
end;
for i=1 to length(xt)-10;
plot([xt[i],xt[i]],[p[3],p[4]]);
end;
for i=expi to expf;
d=toscreen([i,p[3]]);
.. ctext(printf("%g",xbase)|"^"|printf("%g",i),[d[1],d[2]+h/2]);
rtext(printf("%g",xbase),[d[1]+w,d[2]+0.75*h]);
text(printf("%g",i),[d[1]+w,d[2]+h/4]);
end;
color(c);
linewidth(lw);
linestyle(ls);
plot(xl,ye);
holding(hd);
endif;
return p;
endfunction;
function ylogplot(x=0,y=1,ybase=10)
## xlogplot draws y(x) in a semilog paper with base ybase
if argn()==0;
p=plot();
else
if !holding();clg;endif;
if iscomplex(x); xe=abs(x); else xe=x; endif;
if iscomplex(y); ye=abs(y); else ye=y; endif;
yl=logbase(ye,ybase);
expi=floor(logbase(min(ye),ybase));
expf=ceil(logbase(max(ye),ybase));
xt=xticks(min(xe),max(xe));
yt=xlogticks(expi,expf,ybase);
p=setplot([min(xt),max(xt),expi,expf]);
h=textheight();w=textwidth();
hd=holding(1);
ls=linestyle(".");
lw=linewidth(1);
c=color(1);
for i=1 to length(yt)-10;
plot([p[1],p[2]],[yt[i],yt[i]]);
end;
for i=expi to expf;
d=toscreen([p[1],i]);
.. rtext(printf("%g",ybase)|"^"|printf("%g",i),[d[1]-w/2,d[2]-h/2]);
rtext(printf("%g",ybase),[d[1]-40,d[2]-h/2]);
text(printf("%g",i),[d[1]-40,d[2]-h]);
end;
for i=1 to length(xt);
plot([xt[i],xt[i]],[p[3],p[4]]);
d=toscreen([xt[i],p[3]]);
ctext(printf("%g",xt[i]),[d[1],d[2]+h/2]);
end;
color(c);
linewidth(lw);
linestyle(ls);
plot(xe,yl);
holding(hd);
endif;
return p;
endfunction;
function xylogplot(x=1,y=1,xbase=10,ybase=10)
## xylogplot draws y(x) in a loglog paper with base xbase and ybase
if argn()==0;
p=plot();
else
if !holding();clg;endif;
if iscomplex(x); xe=abs(x); else xe=x; endif;
if iscomplex(y); ye=abs(y); else ye=y; endif;
xl=logbase(xe,xbase);
yl=logbase(ye,ybase);
expix=floor(logbase(min(xe),xbase));
expfx=ceil(logbase(max(xe),xbase));
expiy=floor(logbase(min(ye),ybase));
expfy=ceil(logbase(max(ye),ybase));
xt=xlogticks(expix,expfx,xbase);
yt=xlogticks(expiy,expfy,ybase);
p=setplot([expix,expfx,expiy,expfy]);
h=textheight();w=textwidth();
hd=holding(1);
ls=linestyle(".");
lw=linewidth(1);
c=color(1);
for i=1 to length(xt)-10;
plot([xt[i],xt[i]],[p[3],p[4]]);
end;
for i=expix to expfx;
d=toscreen([i,p[3]]);
.. ctext(printf("%g",xbase)|"^"|printf("%g",i),[d[1],d[2]+h/2]);
rtext(printf("%g",xbase),[d[1]+w,d[2]+0.75*h]);
text(printf("%g",i),[d[1]+w,d[2]+h/4]);
end;
for i=1 to length(yt)-10;
plot([p[1],p[2]],[yt[i],yt[i]]);
end;
for i=expiy to expfy;
d=toscreen([p[1],i]);
.. rtext(printf("%g",ybase)|"^"|printf("%g",i),[d[1]-w/2,d[2]-h/2]);
rtext(printf("%g",ybase),[d[1]-40,d[2]-h/2]);
text(printf("%g",i),[d[1]-40,d[2]-h]);
end;
color(c);
linewidth(lw);
linestyle(ls);
plot(xl,yl);
holding(hd);
endif;
return p;
endfunction;
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