imported>Dmitrii Kouznetsov |
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| == Summary == | | == Summary == |
| {{Image_Details|user
| | Importing file |
| |description = [[Complex map]] of the [[Hankel function]] of zero order, <math> u+\mathrm i v = H_0(x+\mathrm i y)</math>
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| |author = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
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| |date-created = 2012.07.30.
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| |pub-country = Japan
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| |notes = This is copy from http://tori.ils.uec.ac.jp/TORI/index.php/File:Besselh0mapT100.png
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| |versions = http://tori.ils.uec.ac.jp/TORI/images/0/08/Besselh0mapT100.png
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| }}
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| == Licensing ==
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| {{CC|by|3.0}}
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| ==C++ generator of curves==
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| Files
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| [[besselj0.cin]],
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| [[bessely0.cin]],
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| [[ado.cin]],
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| [[conto.cin]]
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| should be loaded to the working directory in order to compile the [[C++]] code below.
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| | |
| #include <stdio.h>
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| #include <stdlib.h>
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| #define DB double
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| #define DO(x,y) for(x=0;x<y;x++)
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| using namespace std;
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| #include <complex>
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| typedef complex<double> z_type;
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| #define Re(x) x.real()
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| #define Im(x) x.imag()
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| #define I z_type(0.,1.)
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| #include "conto.cin"
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| #include "besselj0.cin"
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| #include "bessely0.cin"
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| main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
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| int M=801,M1=M+1;
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| int N=401,N1=N+1;
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| DB X[M1],Y[N1], g[M1*N1],f[M1*N1], w[M1*N1]; // w is working array.
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| char v[M1*N1]; // v is working array
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| FILE *o;o=fopen("besselh0map.eps","w");ado(o,162,82);
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| fprintf(o,"81 41 translate\n 10 10 scale\n");
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| DO(m,400) X[m]=-8.+.02*m;
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| X[400]=-.004;
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| X[401]= .004;
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| for(m=402;m<M1;m++) X[m]=-8.+.02*(m-1.);
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| DO(n,200)Y[n]=-4.+.02*n;
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| Y[200]=-.001;
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| Y[201]= .001;
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| for(n=202;n<N1;n++) Y[n]=-4.+.02*(n-1.);
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| //DO(m,M1)X[m]=Y[m];
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| for(m=-8;m<9;m++){if(m==0){M(m,-4.1)L(m,4.1)} else{M(m,-4)L(m,4)}}
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| for(n=-4;n<5;n++){ M( -8,n)L(8,n)}
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| fprintf(o,".01 W 0 0 0 RGB S\n");
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| DO(m,M1)DO(n,N1){g[m*N1+n]=9999; f[m*N1+n]=9999;}
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| DO(m,M1){x=X[m]; //printf("%5.2f\n",x);
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| DO(n,N1){y=Y[n]; z=z_type(x,y);
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| c=BesselJ0(z)+ I*BesselY0(z);
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| p=Re(c); q=Im(c);
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| if(p>-99. && p<99.
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| && q>-99. && q<99
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| )
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| {g[m*N1+n]=p;
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| f[m*N1+n]=q;
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| }
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| }}
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| //#include "plodi.cin"
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| fprintf(o,"1 setlinejoin 1 setlinecap\n"); p=1.5;q=.5;
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| for(m=-5;m<5;m++)for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N,(m+.1*n),-q, q); fprintf(o,".01 W 0 .6 0 RGB S\n");
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| for(m=0;m<5;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q, q); fprintf(o,".01 W .9 0 0 RGB S\n");
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| for(m=0;m<5;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q, q); fprintf(o,".01 W 0 0 .9 RGB S\n");
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| for(m=1;m<25;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p); fprintf(o,".02 W .9 0 0 RGB S\n");
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| for(m=1;m<25;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".02 W 0 0 .9 RGB S\n");
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| conto(o,f,w,v,X,Y,M,N, (0. ),-2*p,2*p); fprintf(o,".02 W .6 0 .6 RGB S\n");
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| for(m=-24;m<0;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".02 W 0 0 0 RGB S\n");
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| m=0; conto(o,g,w,v,X,Y,M,N, (0.+m),-2*p,2*p); fprintf(o,".02 W 0 0 0 RGB S\n");
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| for(m=1;m<25;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".02 W 0 0 0 RGB S\n");
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| //#include "plofu.cin"
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| M(0,0)L(-8,0) fprintf(o,"0 setlinecap 0.023 W 1 1 1 RGB S\n");
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| DO(m,32) { x=-.25*m; M(x-.1,0)L(x-.2,0) } fprintf(o,"0 setlinecap 0.03 W 0 0 0 RGB S\n");
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| fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o);
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| system("epstopdf besselh0map.eps");
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| system( "open besselh0map.pdf");
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| getchar(); system("killall Preview");//for mac
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| }
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| // Copyleft 2012 by Dmitrii Kouznetsov
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