C++ SymmetricMatrix::Store方法代码示例

static void tred3(const SymmetricMatrix& X, DiagonalMatrix& D,
   DiagonalMatrix& E, SymmetricMatrix& A)
{
   Tracer et("Evalue(tred3)");
   Real tol =
      FloatingPointPrecision::Minimum()/FloatingPointPrecision::Epsilon();
   int n = X.Nrows(); A = X; D.ReSize(n); E.ReSize(n);
   Real* ei = E.Store() + n;
   for (int i = n-1; i >= 0; i--)
   {
      Real h = 0.0; Real f;
      Real* d = D.Store(); Real* a = A.Store() + (i*(i+1))/2; int k = i;
      while (k--) { f = *a++; *d++ = f; h += square(f); }
      if (h <= tol) { *(--ei) = 0.0; h = 0.0; }
      else
      {
	 Real g = sign(-sqrt(h), f); *(--ei) = g; h -= f*g;
         f -= g; *(d-1) = f; *(a-1) = f; f = 0.0;
         Real* dj = D.Store(); Real* ej = E.Store(); int j;
         for (j = 0; j < i; j++)
         {
            Real* dk = D.Store(); Real* ak = A.Store()+(j*(j+1))/2;
            Real g = 0.0; k = j;
            while (k--)  g += *ak++ * *dk++;
            k = i-j; int l = j; 
            while (k--) { g += *ak * *dk++; ak += ++l; }
	    g /= h; *ej++ = g; f += g * *dj++;
         }  
	 Real hh = f / (2 * h); Real* ak = A.Store();
         dj = D.Store(); ej = E.Store();
         for (j = 0; j < i; j++)
         {
	    f = *dj++; g = *ej - hh * f; *ej++ = g;
            Real* dk = D.Store(); Real* ek = E.Store(); k = j+1;
	    while (k--) { *ak++ -= (f * *ek++ + g * *dk++); }
	 }
      }
      *d = *a; *a = h;
   }
}

ReturnMatrix Cholesky(const SymmetricMatrix& S)
{
   REPORT
   Tracer trace("Cholesky");
   int nr = S.Nrows();
   LowerTriangularMatrix T(nr);
   Real* s = S.Store(); Real* t = T.Store(); Real* ti = t;
   for (int i=0; i<nr; i++)
   {
      Real* tj = t; Real sum; int k;
      for (int j=0; j<i; j++)
      {
         Real* tk = ti; sum = 0.0; k = j;
         while (k--) { sum += *tj++ * *tk++; }
         *tk = (*s++ - sum) / *tj++;
      }
      sum = 0.0; k = i;
      while (k--) { sum += square(*ti++); }
      Real d = *s++ - sum;
      if (d<=0.0)  Throw(NPDException(S));
      *ti++ = sqrt(d);
   }
   T.release(); return T.for_return();
}

void Jacobi(const SymmetricMatrix& X, DiagonalMatrix& D, SymmetricMatrix& A,
   Matrix& V, bool eivec)
{
   Real epsilon = FloatingPointPrecision::Epsilon();
   Tracer et("Jacobi");
   REPORT
   int n = X.Nrows(); DiagonalMatrix B(n), Z(n); D.resize(n); A = X;
   if (eivec) { REPORT V.resize(n,n); D = 1.0; V = D; }
   B << A; D = B; Z = 0.0; A.Inject(Z);
   bool converged = false;
   for (int i=1; i<=50; i++)
   {
      Real sm=0.0; Real* a = A.Store(); int p = A.Storage();
      while (p--) sm += fabs(*a++);            // have previously zeroed diags
      if (sm==0.0) { REPORT converged = true; break; }
      Real tresh = (i<4) ? 0.2 * sm / square(n) : 0.0; a = A.Store();
      for (p = 0; p < n; p++)
      {
         Real* ap1 = a + (p*(p+1))/2;
         Real& zp = Z.element(p); Real& dp = D.element(p);
         for (int q = p+1; q < n; q++)
         {
            Real* ap = ap1; Real* aq = a + (q*(q+1))/2;
            Real& zq = Z.element(q); Real& dq = D.element(q);
            Real& apq = A.element(q,p);
            Real g = 100 * fabs(apq); Real adp = fabs(dp); Real adq = fabs(dq);

            if (i>4 && g < epsilon*adp && g < epsilon*adq) { REPORT apq = 0.0; }
            else if (fabs(apq) > tresh)
            {
               REPORT
               Real t; Real h = dq - dp; Real ah = fabs(h);
               if (g < epsilon*ah) { REPORT t = apq / h; }
               else
               {
                  REPORT
                  Real theta = 0.5 * h / apq;
                  t = 1.0 / ( fabs(theta) + sqrt(1.0 + square(theta)) );
                  if (theta<0.0) { REPORT t = -t; }
               }
               Real c = 1.0 / sqrt(1.0 + square(t)); Real s = t * c;
               Real tau = s / (1.0 + c); h = t * apq;
               zp -= h; zq += h; dp -= h; dq += h; apq = 0.0;
               int j = p;
               while (j--)
               {
                  g = *ap; h = *aq;
                  *ap++ = g-s*(h+g*tau); *aq++ = h+s*(g-h*tau);
               }
               int ip = p+1; j = q-ip; ap += ip++; aq++;
               while (j--)
               {
                  g = *ap; h = *aq;
                  *ap = g-s*(h+g*tau); *aq++ = h+s*(g-h*tau);
                  ap += ip++;
               }
               if (q < n-1)             // last loop is non-empty
               {
                  int iq = q+1; j = n-iq; ap += ip++; aq += iq++;
                  for (;;)
                  {
                     g = *ap; h = *aq;
                     *ap = g-s*(h+g*tau); *aq = h+s*(g-h*tau);
                     if (!(--j)) break;
                     ap += ip++; aq += iq++;
                  }
               }
               if (eivec)
               {
                  REPORT
                  RectMatrixCol VP(V,p); RectMatrixCol VQ(V,q);
                  Rotate(VP, VQ, tau, s);
               }
            }
         }
      }
      B = B + Z; D = B; Z = 0.0;
   }
   if (!converged) Throw(ConvergenceException(X));
   if (eivec) SortSV(D, V, true);
   else SortAscending(D);
}