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jiri 2006-09-03 23:31:00 +00:00
parent 9b69ed529f
commit 50dcdd2c17
1 changed files with 42 additions and 3 deletions
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45
nonclass.cc
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@ -30,6 +30,7 @@ INSTANTIZE(short)
INSTANTIZE(char)
INSTANTIZE(unsigned char)
INSTANTIZE(unsigned long)
INSTANTIZE(unsigned int)
#define EPSDET 1e-300
@ -440,6 +441,8 @@ void gdiagonalize(NRMat<double> &a, NRVec<double> &wr, NRVec<double> &wi,
else FORNAME(dgeev)(&jobvr, &jobvl, &n, a, &lda, wr, wi, vr?vr[0]:(double *)0,
&ldvr, vl?vl[0]:(double *)0, &ldvl, work, &lwork, &r);
delete[] work;
//@@@
//cout <<"TEST dgeev\n"<<wr<<wi<<*vr<<*vl<<endl;
if (r < 0) laerror("illegal argument in ggev/geev in gdiagonalize()");
if (r > 0) laerror("convergence problem in ggev/geev in gdiagonalize()");
@ -614,10 +617,20 @@ NRMat<double> matrixfunction(NRMat<double> a, complex<double>
int n = a.nrows();
NRMat< complex<double> > u(n, n), v(n, n);
NRVec< complex<double> > w(n);
gdiagonalize(a, w, &u, &v);
NRMat<complex<double> > a0=complexify(a);
gdiagonalize(a, w, &u, &v);//a gets destroyed, eigenvectors are rows
NRVec< complex<double> > z = diagofproduct(u, v, 1, 1);
/*
cout <<"TEST matrixfunction\n"<<w<<u<<v<<z;
cout <<"TEST matrixfunction1 "<< u*a0 - diagonalmatrix(w)*u<<endl;
cout <<"TEST matrixfunction2 "<< a0*v.transpose(1) - v.transpose(1)*diagonalmatrix(w)<<endl;
cout <<"TEST matrixfunction3 "<< u*v.transpose(1)<<diagonalmatrix(z)<<endl;
NRVec< complex<double> > wz(n);
for (int i=0; i<a.nrows(); i++) wz[i] = w[i]/z[i];
cout <<"TEST matrixfunction4 "<< a0<< v.transpose(true)*diagonalmatrix(wz)*u<<endl;
*/
for (int i=0; i<a.nrows(); i++) w[i] = (*f)(w[i]/z[i]);
for (int i=0; i<a.nrows(); i++) w[i] = (*f)(w[i])/z[i];
u.diagmultl(w);
NRMat< complex<double> > r(n, n);
@ -688,6 +701,12 @@ complex<double> myclog (const complex<double> &x)
return log(x);
}
complex<double> mycexp (const complex<double> &x)
{
return exp(x);
}
complex<double> sqrtinv (const complex<double> &x)
{
return 1./sqrt(x);
@ -704,6 +723,12 @@ NRMat<double> log(const NRMat<double> &a)
return matrixfunction(a, &myclog, 1);
}
NRMat<double> exp0(const NRMat<double> &a)
{
return matrixfunction(a, &mycexp, 1);
}
const NRVec<double> diagofproduct(const NRMat<double> &a, const NRMat<double> &b,
bool trb, bool conjb)
@ -773,10 +798,24 @@ double trace2(const NRSMat<double> &a, const NRSMat<double> &b,
double r = 2.0*cblas_ddot(a.nrows()*(a.nrows()+1)/2, a, 1, b, 1);
if (diagscaled) return r;
for (int i=0; i<a.nrows(); i++) r -= a(i,i)*b(i,i);
//for (int i=0; i<a.nrows(); i++) r -= a(i,i)*b(i,i);
r -= cblas_ddot(a.nrows(),a,a.nrows()+1,b,a.nrows()+1);
return r;
}
double trace2(const NRSMat<double> &a, const NRMat<double> &b, const bool diagscaled)
{
if (a.nrows() != b.nrows()||b.nrows()!=b.ncols()) laerror("incompatible SMats in trace2()");
double r=0;
int i, j, k=0;
for (i=0; i<a.nrows(); i++)
for (j=0; j<=i;j++) r += a[k++] * (b[i][j] + (i!=j||diagscaled ? b[j][i] : 0 ));
return r;
}
#ifdef obsolete
void gendiagonalize(NRMat<double> &a, NRVec<double> &w, NRMat<double> b, int n)