File:GauMap.png
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Complex map of the Gauss Distribution density:
\( \displaystyle u + \mathrm i v = \frac{\exp(-(x+\mathrm i y)^2/2)}{\sqrt{2\pi)}} \)
C++ generator of curves
#include <math.h> #include <stdio.h> #include <stdlib.h> #define DB double #define DO(x,y) for(x=0;x<y;x++) //using namespace std; #include<complex> typedef std::complex<double> z_type; #define Re(x) x.real() #define Im(x) x.imag() #define I z_type(0.,1.) #include "conto.cin" #include "fac.cin" z_type Student(z_type n, z_type t){ z_type c,d,e; c=fac((n-1.)/2.); d=fac(.5*n-1.); e=exp(-.5*(n+1.)*log(1.+t*t/n)); return e*c/(sqrt(M_PI*n)*d); } z_type Gau(z_type z){ return exp(-.5*z*z)/sqrt(2*M_PI);} int main(){ int j,k,m,n; DB x1,x,y, p,q, t; z_type z,c,d, cu,cd; int M=800,M1=M+1; int N=800,N1=N+1; DB X[M1],Y[N1]; DB *g, *f, *w; // w is working array. g=(DB *)malloc((size_t)((M1*N1)*sizeof(DB))); f=(DB *)malloc((size_t)((M1*N1)*sizeof(DB))); w=(DB *)malloc((size_t)((M1*N1)*sizeof(DB))); char v[M1*N1]; // v is working array FILE *o;o=fopen("GauMa.eps","w"); ado(o,802,802); fprintf(o,"401 401 translate\n 100 100 scale\n"); fprintf(o,"1 setlinejoin 2 setlinecap\n"); DO(m,M1) X[m]=-4.+.01*(m-.5); DO(n,N1) Y[n]=-4.+.01*(n-.5); for(m=-4;m<5;m++) {M(m,-5)L(m,5)} for(n=-4;n<5;n++) {M( -5,n)L(5,n)} fprintf(o,".006 W 0 0 0 RGB S\n"); DO(m,M1)DO(n,N1){ g[m*N1+n]=999; f[m*N1+n]=999;} DO(m,M1){x=X[m]; if(m/10*10==m) printf("x=%6.3f\n",x); DO(n,N1){y=Y[n]; z=z_type(x,y); //c=zex(z); //c=1./(1.+z*z); //c=Student(20.,z); c=Gau(z); p=Re(c); q=Im(c); // if(p>-19 && p<19 && fabs(q)>1.e-12 && fabs(p)>1.e-12) g[m*N1+n]=p; // if(p>-19 && p<19 && fabs(q)>1.e-12 && fabs(p)>1.e-12) f[m*N1+n]=q; }} fprintf(o,"1 setlinejoin 1 setlinecap\n"); p=20.;q=.3; for(m=-2;m<2;m++)for(n=1;n<10;n+=1)conto(o,f,w,v,X,Y,M,N,(m+.1*n),-q,q);fprintf(o,".007 W 0 .6 0 RGB S\n"); for(m=0;m<2;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q,q);fprintf(o,".007 W .9 0 0 RGB S\n"); for(m=0;m<2;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q,q);fprintf(o,".007 W 0 0 .9 RGB S\n"); for(m= 1;m<5;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p);fprintf(o,".02 W .8 0 0 RGB S\n"); for(m= 1;m<5;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p);fprintf(o,".02 W 0 0 .8 RGB S\n"); conto(o,f,w,v,X,Y,M,N, (0. ),-p,p); fprintf(o,".02 W .5 0 .5 RGB S\n"); for(m=-4;m<5;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".02 W 0 0 0 RGB S\n"); fprintf(o,"showpage\n"); fprintf(o,"%c%cTrailer\n",'%','%'); fclose(o); free(f); free(g); free(w); system("epstopdf GauMa.eps"); system( "open GauMa.pdf"); //for macintosh getchar(); system("killall Preview"); // For macintosh
Keywords
«Gauss», «Normal Distribution»,
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 23:02, 10 May 2024 | 1,706 × 1,690 (264 KB) | T (talk | contribs) | less lines, this corresponds to the updated description | |
08:27, 9 May 2024 | 1,706 × 1,690 (315 KB) | T (talk | contribs) | == Summary == Complex map of the Gauss function Category:Complex map Category:Gauss Category:Student Distribution |
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