September 2017 Update

This commit is contained in:
Ingy döt Net 2017-09-23 10:01:46 +02:00
parent bba7bfd280
commit ba8067c3b7
14570 changed files with 153136 additions and 63871 deletions

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var [const] GSL=Import("zklGSL"); // libGSL (GNU Scientific Library)
fcn dconv1D(f,g){
fsz,hsz:=f.len(), g.len() - fsz +1;
A:=GSL.Matrix(g.len(),hsz);
foreach n,fn in ([0..].zip(f)){ foreach rc in (hsz){ A[rc+n,rc]=fn } }
h:=A.AxEQb(g);
h
}

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f:=GSL.VectorFromData(-3,-6,-1,8,-6,3,-1,-9,-9,3,-2,5,2,-2,-7,-1);
g:=GSL.VectorFromData(24,75,71,-34,3,22,-45,23,245,25,52,25,-67,-96,96,31,55,36,29,-43,-7);
h:=dconv1D(f,g);
h.format().println();
f:=dconv1D(h,g);
f.format().println();

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fcn deconv(g,f){
flen, glen, delta:=f.len(), g.len(), glen - flen + 1;
result:=List.createLong(delta); // allocate list with space for items
foreach n in (delta){
e:=g[n];
lowerBound:=(if (n>=flen) n - flen + 1 else 0);
foreach i in ([lowerBound .. n-1]){ e-=result[i]*f[n - i]; }
result.append(e/f[0]);
}
result;
}

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h:=T(-8,-9,-3,-1,-6,7);
f:=T(-3,-6,-1,8,-6,3,-1,-9,-9,3,-2,5,2,-2,-7,-1);
g:=T(24,75,71,-34,3,22,-45,23,245,25,52,25,-67,
-96,96,31,55,36,29,-43,-7);
println(deconv(g, f) == h, " ", deconv(g, f));
println(deconv(g, h) == f, " ", deconv(g, h));