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functions in randfield.i - g
genrandfield1D
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UMENT genrandfield(n);
generates Gaussian Random Field of dims [1,n]
which obeys the power spectrum given by fun (default k^-5/3)
EXAMPLE compute correlation function in 1D
include, "Eric/histo.i";
nm=512; ns=512;
z=genrandfield1D(ns,fun=PS); zr=float(fft(z,-1));
z2=float(fft(z*conj(z),-1));
zc=array(0.,ns); for(i=1;i<=nm;i++){z=genrandfield1D(ns,fun=PS); z2=z*conj(z);zc+=z2/float(nm);};
logxy,1,1;
kk=2*pi*(indgen(ns)-1)/float(ns);
plg,float(zc),kk; plg, PS(kk),kk,color="blue",width=4;
write, " power spectrum slope",(log(float(zc)(5:125))(dif)/log(indgen(ns)(5:125))(dif))(avg)
interpreted function, defined at contrib/randfield.i line 193
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SEE
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ALSO,
fft_indgen,,
fft.
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genrandfield2D
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UMENT genrandfield(n);
generates Gaussian Random Field of dims [2,n,n]
which obeys the power spectrum given by fun (default k^-5/3)
EXAMPLE
include, "Eric/histo.i";
ns=128;
z=genrandfield2D(ns); zr=float(fft(z,[-1,-1])); //pli,zr;
z2=float(fft(z*conj(z),[-1,-1])); // pli,z2;
zc=array(0.,ns,ns); for(i=1;i<=50;i++){z=genrandfield2D(ns); z2=z*conj(z);zc+=float(z2)/50.;}; //fft_pli,zc;
x1=(indgen(ns)-1)*2*pi/float(ns);
y1=(indgen(ns)-1)*2*pi/float(ns);
r1= abs(x1, y1(-,));
py= histo2(r1, px, weight=zc, average=1, interp=1,binsize=r1(dif)(min));
plg, py(2:), px(2:), color="red"; //azimuthal average
plg, PS(px(2:)),px(2:),color="blue",width=4; logxy,1,1;
write," power spectrum slope",(log(py(5:25))(dif)/log(px(5:25))(dif))(2:12:10)(avg)
interpreted function, defined at contrib/randfield.i line 140
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SEE
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ALSO,
fft_indgen,,
fft.
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