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+/*
+ Copyright (c) 2011, Intel Corporation. All rights reserved.
+
+ Redistribution and use in source and binary forms, with or without modification,
+ are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+ list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ this list of conditions and the following disclaimer in the documentation
+ and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors may
+ be used to endorse or promote products derived from this software without
+ specific prior written permission.
+
+ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+ WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+ (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+ ********************************************************************************
+ * Content : Eigen bindings to Intel(R) MKL
+ * Complex Schur needed to complex unsymmetrical eigenvalues/eigenvectors.
+ ********************************************************************************
+*/
+
+#ifndef EIGEN_COMPLEX_SCHUR_MKL_H
+#define EIGEN_COMPLEX_SCHUR_MKL_H
+
+#include "Eigen/src/Core/util/MKL_support.h"
+
+/** \internal Specialization for the data types supported by MKL */
+
+#define EIGEN_MKL_SCHUR_COMPLEX(EIGTYPE, MKLTYPE, MKLPREFIX, MKLPREFIX_U, EIGCOLROW, MKLCOLROW) \
+template<> \
+ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >& \
+ComplexSchur<Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> >::compute(const Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW>& matrix, bool computeU) \
+{ \
+ typedef Matrix<EIGTYPE, Dynamic, Dynamic, EIGCOLROW> MatrixType; \
+ typedef MatrixType::Scalar Scalar; \
+ typedef MatrixType::RealScalar RealScalar; \
+ typedef std::complex<RealScalar> ComplexScalar; \
+\
+ assert(matrix.cols() == matrix.rows()); \
+\
+ m_matUisUptodate = false; \
+ if(matrix.cols() == 1) \
+ { \
+ m_matT = matrix.cast<ComplexScalar>(); \
+ if(computeU) m_matU = ComplexMatrixType::Identity(1,1); \
+ m_info = Success; \
+ m_isInitialized = true; \
+ m_matUisUptodate = computeU; \
+ return *this; \
+ } \
+ lapack_int n = matrix.cols(), sdim, info; \
+ lapack_int lda = matrix.outerStride(); \
+ lapack_int matrix_order = MKLCOLROW; \
+ char jobvs, sort='N'; \
+ LAPACK_##MKLPREFIX_U##_SELECT1 select; \
+ jobvs = (computeU) ? 'V' : 'N'; \
+ m_matU.resize(n, n); \
+ lapack_int ldvs = m_matU.outerStride(); \
+ m_matT = matrix; \
+ Matrix<EIGTYPE, Dynamic, Dynamic> w; \
+ w.resize(n, 1);\
+ info = LAPACKE_##MKLPREFIX##gees( matrix_order, jobvs, sort, select, n, (MKLTYPE*)m_matT.data(), lda, &sdim, (MKLTYPE*)w.data(), (MKLTYPE*)m_matU.data(), ldvs ); \
+ if(info == 0) \
+ m_info = Success; \
+ else \
+ m_info = NoConvergence; \
+\
+ m_isInitialized = true; \
+ m_matUisUptodate = computeU; \
+ return *this; \
+\
+}
+
+EIGEN_MKL_SCHUR_COMPLEX(dcomplex, MKL_Complex16, z, Z, ColMajor, LAPACK_COL_MAJOR)
+EIGEN_MKL_SCHUR_COMPLEX(scomplex, MKL_Complex8, c, C, ColMajor, LAPACK_COL_MAJOR)
+EIGEN_MKL_SCHUR_COMPLEX(dcomplex, MKL_Complex16, z, Z, RowMajor, LAPACK_ROW_MAJOR)
+EIGEN_MKL_SCHUR_COMPLEX(scomplex, MKL_Complex8, c, C, RowMajor, LAPACK_ROW_MAJOR)
+
+#endif // EIGEN_COMPLEX_SCHUR_MKL_H