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authorGravatar Chen-Pang He <jdh8@ms63.hinet.net>2012-09-08 17:29:44 +0800
committerGravatar Chen-Pang He <jdh8@ms63.hinet.net>2012-09-08 17:29:44 +0800
commite4e7585a24a4ef08742b4c198ab6e37e93eececf (patch)
tree66cdac8952a48b9d6a25e8222b41e0a5b309ba46 /blas/Rank2Update.h
parentb5f9bec8ac2771abbd74e7abd03734d578a88e80 (diff)
Implement rank-2 update for packed matrices.
Diffstat (limited to 'blas/Rank2Update.h')
-rw-r--r--blas/Rank2Update.h54
1 files changed, 48 insertions, 6 deletions
diff --git a/blas/Rank2Update.h b/blas/Rank2Update.h
index e7a5eeaba..0cf3a1961 100644
--- a/blas/Rank2Update.h
+++ b/blas/Rank2Update.h
@@ -28,9 +28,8 @@ struct rank2_update_selector<Scalar,Index,Upper>
for (Index i=0; i<size; ++i)
{
- Map<PlainVector>(mat+stride*i, i+1) +=
- conj(alpha) * conj(_u[i]) * v.head(i+1)
- + alpha * conj(_v[i]) * u.head(i+1);
+ Map<PlainVector>(mat+stride*i, i+1) += conj(alpha) * conj(_u[i]) * v.head(i+1)
+ + alpha * conj(_v[i]) * u.head(i+1);
}
}
};
@@ -45,9 +44,52 @@ struct rank2_update_selector<Scalar,Index,Lower>
for (Index i=0; i<size; ++i)
{
- Map<PlainVector>(mat+(stride+1)*i, size-i) +=
- conj(alpha) * conj(_u[i]) * v.tail(size-i)
- + alpha * conj(_v[i]) * u.tail(size-i);
+ Map<PlainVector>(mat+(stride+1)*i, size-i) += conj(alpha) * conj(_u[i]) * v.tail(size-i)
+ + alpha * conj(_v[i]) * u.tail(size-i);
+ }
+ }
+};
+
+/* Optimized selfadjoint matrix += alpha * uv' + conj(alpha)*vu'
+ * The matrix is in packed form.
+ */
+template<typename Scalar, typename Index, int UpLo>
+struct packed_rank2_update_selector;
+
+template<typename Scalar, typename Index>
+struct packed_rank2_update_selector<Scalar,Index,Upper>
+{
+ static void run(Index size, Scalar* mat, const Scalar* _u, const Scalar* _v, Scalar alpha)
+ {
+ typedef Matrix<Scalar,Dynamic,1> PlainVector;
+ Map<const PlainVector> u(_u, size), v(_v, size);
+ Index offset = 0;
+
+ for (Index i=0; i<size; ++i)
+ {
+ offset += i;
+ Map<PlainVector>(mat+offset, i+1) += conj(alpha) * conj(_u[i]) * v.head(i+1)
+ + alpha * conj(_v[i]) * u.head(i+1);
+ mat[offset+i] = real(mat[offset+i]);
+ }
+ }
+};
+
+template<typename Scalar, typename Index>
+struct packed_rank2_update_selector<Scalar,Index,Lower>
+{
+ static void run(Index size, Scalar* mat, const Scalar* _u, const Scalar* _v, Scalar alpha)
+ {
+ typedef Matrix<Scalar,Dynamic,1> PlainVector;
+ Map<const PlainVector> u(_u, size), v(_v, size);
+ Index offset = 0;
+
+ for (Index i=0; i<size; ++i)
+ {
+ Map<PlainVector>(mat+offset, size-i) += conj(alpha) * conj(_u[i]) * v.tail(size-i)
+ + alpha * conj(_v[i]) * u.tail(size-i);
+ mat[offset] = real(mat[offset]);
+ offset += size-i;
}
}
};