AnalyticTetrationBaseSqrt2v00/code
Jump to navigation
Jump to search
//// In order to generate the figure above, you need // the plotter routines // ContourPlot/code/ado.cin , than makes the header of the eps file, and // ContourPlot/code/conto.cin, that draws there the contour lines. // With these routines, you may compile and execute the source below // // Copyleft 2008 by Dmitrii Kouznetsov // #include <math.h> #include <stdio.h> #include <stdlib.h> #define DB double #define DO(x,y) for(x=0;x<y;x++) #include <complex.h> #define z_type complex<double> #define Re(x) x.real() #define Im(x) x.imag() #define I z_type(0.,1.) #include "conto.cin" main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d, cu,cd; int M=300,M1=M+1; int N=300,N1=N+1; int K=15; x=K; DB Q=-0.36651292058166432701; DB R=-0.45871; DB X[M1],Y[N1], g[M1*N1],f[M1*N1], w[M1*N1]; // w is working array. char v[M1*N1]; // v is working array printf("Output sqrt2a.eps ; copyleft 2008 by Dmitrii Kouznetsov\n"); FILE *o;o=fopen("sqrt2a.eps","w");ado(o,0,0,304,404); fprintf(o,"152 202 translate\n 10 10 scale\n"); DB sy=20./(N/2.); DO(m,M1) X[m]=-15+.1*m; DO(n,N1) Y[n]=sy*(n-N/2.+.5); for(m=-10;m<11;m++) {M(m,-10)L(m,10)} for(n=-10;n<11;n++) {M( -10,n)L(10,n)} fprintf(o,".006 W 0 0 0 RGB S\n"); fprintf(o,"/adobe-Roman findfont 1 scalefont setfont\n"); for(m=-8;m<0;m+=2) {M(-11.2,m-.3) fprintf(o,"(%1d)s\n",m);} for(m=0;m<9;m+=2) {M(-10.7,m-.3) fprintf(o,"(%1d)s\n",m);} for(m=-8;m<0;m+=4) {M(m-.6,-10.8) fprintf(o,"(%1d)s\n",m);} for(m= 0;m<9;m+=4) {M(m-.3,-10.8) fprintf(o,"(%1d)s\n",m);} fprintf(o,"/Times-Italic findfont 1 scalefont setfont\n"); M(-10.7, 9.5) fprintf(o,"(y)s\n"); M( 9.6,-10.8) fprintf(o,"(x)s\n"); M(-11,0)L(11,0) M(0,-19)L(0,19) fprintf(o,".01 W 1 0 1 RGB S\n"); z_type tm,tp,F[M1*N1];; DO(m,M1)DO(n,N1){ g[m*N1+n]=9999; f[m*N1+n]=9999; } for(m=M-10;m<M1;m++){ x=X[m]; int m1; DO(n,N1){y=Y[n]; z=z_type(x,y); c=2.-exp(Q*z+R); m1=m; for(;m1>0;){ F[m1*N1+n]=c; p=Re(c); q=Im(c); if(p>-999 && p<999) g[m1*N1+n]=p; if(q>-999 && q<999) f[m1*N1+n]=q; c=log(c)/log(sqrt(2.)); m1-=10; } } } p=.8;
conto(o,f,w,v,X,Y,M,N, (-8. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-7. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-6. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-5. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-4. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-4.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-3. ),-p,p); fprintf(o,".05 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-3.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-2. ),-2,2); fprintf(o,".05 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-2.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-1. ),-p,p); fprintf(o,".05 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-1.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (0. ),-p,p); fprintf(o,".05 W 0 .8 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( .1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 1. ),-p,p); fprintf(o,".05 W 0 0 1 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( 1.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 2. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( 2.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 3. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( 3.+.1*n),-p,p); fprintf(o,".01 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 4. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 5. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 6. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (-2. ),-3,3); fprintf(o,".04 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (-2.+.1*n),-p,p); fprintf(o,".01 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (-1. ),-3,3); fprintf(o,".04 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (-1.+.1*n),-p,p); fprintf(o,".006 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (0. ),-3,3); fprintf(o,".03 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( .1*n),-p,p); fprintf(o,".006 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 1. ),-3,3); fprintf(o,".03 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( 1.+.1*n),-p,p); fprintf(o,".006 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 2. ),-3,3); fprintf(o,".03 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( 2.+.1*n),-p,p); fprintf(o,".01 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 3. ),-3,3); fprintf(o,".05 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( 3.+.1*n),-p,p); fprintf(o,".01 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 4. ),-3,3); fprintf(o,".05 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( 4.+.1*n),-p,p); fprintf(o,".01 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 5. ),-2,2); fprintf(o,".05 W 0 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 7. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 8. ),-2,2); fprintf(o,".05 W 0 0 1 RGB S\n");
fprintf(o,"showpage\n\%\%\%Trailer"); fclose(o);
//system( "ggv sqrt2a.eps");
// system("open sqrt2a.eps");
//system("ps2pdf sqrt2a.eps");
//getchar(); system("killall Preview");
}
// end of plotting program
//