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// demo pour visualisation des fonctions elementaires
// complexe - Bruno Pincon
getf("SCI/demos/cmplxfunc/MacCmplx.sci") // les macros utilisees ici
my_win = max(winsid())+1;
xset("window", my_win);
xset("default")
xset("wdim",700,450)
items = ["log" ; "exp" ;
"tan" ; "atan" ;
"sin" ; "asin" ;
"cos" ; "acos" ;
"sinh" ; "asinh";
"cosh" ; "acosh";
"tanh" ; "atanh"; "custom"];
Title = ["visualisation of complex";
"elementary functions on";
"a centered disk or square";
" ";
" Choose a function "];
title_custom = ["---BE CAREFUL NOTHING IS PROTECTED---";
" ";
" To draw your own complex function :";
" ";
"1/ define the function by a correct ";
" string where the complex var must";
" be z ; also as the function will";
" be evaluated on a matrix don''t ";
" forget the . to operate in element";
" wize meaning ; examples : ";
" z.^2 (z+1).*(z-1) (1)./(z+2)";
" sqrt(z) (z+%i).*(z-%i) 1+2*z+z.^2";
" ";
"2/ define the type of the domain ";
" string Square or Disk ";
" ";
"3/ define the ""radius"" R of the domain";
" ";
"4/ may be your function has a kind of";
" discontinuity on Ox or Oy => put";
" the string Ox or Oy or No if not "];
title_items_custom = ["1/ string ";
"2/ Type Domain";
"3/ R ";
"4/ Cut on Axe "];
rep_init = ["(1)./((z+2).*(2-z))";"Disk";"1.9";"No"];
rep = rep_init;
while %t
[num]=x_choose(items,Title);
if num == 0 then , xdel(my_win) , break , end
xbasc()
select items(num)
// PlotCmplxFunc(R,e,TypeDomain,TypeCut,n,StrFunc,theta,alpha,DomReal)
case "log"
R = 4; e = 0.001; theta = 30; alpha = 60;
PlotCmplxFunc(R,e,"Disk","Ox",[40 20],"log",theta,alpha,[e,R])
case "exp"
R = 2; theta = -130; alpha = 73;
PlotCmplxFunc(R,0,"Disk","Ox",[40 20],"exp",theta,alpha,[-R,R])
case "tan"
R = %pi/2-0.15; theta = -130; alpha = 73;
PlotCmplxFunc(R,0,"Square","Ox",41,"tan",theta,alpha,[-R,R])
case "atan"
R = 2 ; theta = -110; alpha = 75;
PlotCmplxFunc(R,0.001,"Square","Oy",41,"atan",theta,alpha,[-R,R])
case "cos"
R = %pi; theta = 18; alpha = 43;
PlotCmplxFunc(R,0,"Disk","Ox",[40 20],"cos",theta,alpha,[-R,R])
case "acos"
theta = -110; alpha = 75;
PlotCmplxFunc(2,%eps,"Square","Ox",41,"acos",theta,alpha,[-1,1])
case "sin"
R = %pi; theta = -130; alpha = 73;
PlotCmplxFunc(R,e,"Disk","Ox",[40 20],"sin",theta,alpha,[-R,R])
case "asin"
theta = -110; alpha = 75;
PlotCmplxFunc(2,%eps,"Square","Ox",41,"asin",theta,alpha,[-1,1])
case "sinh"
R = %pi; e = 0; theta = -148; alpha = 60;
PlotCmplxFunc(R,0,"Disk","Ox",[40 20],"sinh",theta,alpha,[-R,R])
case "asinh"
R = 2; theta = -110; alpha = 75;
PlotCmplxFunc(2,%eps,"Square","Oy",41,"asinh",theta,alpha,[-R,R])
case "cosh"
R = %pi; e = 0; theta = -130; alpha = 56;
PlotCmplxFunc(R,0,"Disk","Ox",[40 20],"cosh",theta,alpha,[-R,R])
case "acosh"
R = 2; theta = -110; alpha = 75;
PlotCmplxFunc(R,%eps,"Square","Ox",41,"acosh",theta,alpha,[1,R])
case "tanh"
R = %pi/2-0.2; theta = -130; alpha = 73;
PlotCmplxFunc(R,0,"Square","Ox",41,"tanh",theta,alpha,[-R,R])
case "atanh"
R = 2 ; theta = -110; alpha = 75;
PlotCmplxFunc(R,0.001,"Square","Ox",41,"atanh",theta,alpha,[-0.99,0.99])
case "custom" // a voir !!!
rep = x_mdialog(title_custom,title_items_custom, rep);
if rep == [] then
rep = rep_init
else
select rep(4)
case "Ox" ; e = 0.001; TypeCut = "Ox";
case "Oy" ; e = 0.001; TypeCut = "Oy";
else e=0 ; TypeCut = "Ox" ; rep(4) = "No" ;
end
deff("Z=f(z)","Z="+rep(1))
theta = -110; alpha = 75;
R = evstr(rep(3));
select rep(2)
case "Square"
PlotCmplxFunc(R,e,"Square",TypeCut,41,"f",theta,alpha,[0;0])
case "Disk"
PlotCmplxFunc(R,e,"Disk",TypeCut,[40 20],"f",theta,alpha,[0;0])
end
end
end
end
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