158 lines
5.0 KiB
C++
158 lines
5.0 KiB
C++
/*
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* Copyright © 2006-2019 Dynare Team
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*
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* This file is part of Dynare.
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*
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* Dynare is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* Dynare is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with Dynare. If not, see <http://www.gnu.org/licenses/>.
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*/
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#include <cmath>
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#include <algorithm>
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#include <memory>
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#include <dynmex.h>
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#include <dynlapack.h>
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double criterium;
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lapack_int
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my_criteria(const double *alpha_r, const double *alpha_i, const double *beta)
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{
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return *alpha_r * *alpha_r + *alpha_i * *alpha_i < criterium * criterium * *beta * *beta;
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}
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/* MATLAB interface */
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void
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mexFunction(int nlhs, mxArray *plhs[],
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int nrhs, const mxArray *prhs[])
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{
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/* Check for proper number of arguments */
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if (nrhs < 2 || nrhs > 4 || nlhs == 0 || nlhs > 7)
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DYN_MEX_FUNC_ERR_MSG_TXT("MJDGGES: takes 2, 3 or 4 input arguments and between 1 and 7 output arguments.");
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/* Check that A and B are real matrices of the same dimension.*/
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size_t m1 = mxGetM(prhs[0]);
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size_t n1 = mxGetN(prhs[0]);
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size_t m2 = mxGetM(prhs[1]);
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size_t n2 = mxGetN(prhs[1]);
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if (!mxIsDouble(prhs[0]) || mxIsComplex(prhs[0])
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|| !mxIsDouble(prhs[1]) || mxIsComplex(prhs[1])
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|| m1 != n1 || m2 != n1 || m2 != n2)
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DYN_MEX_FUNC_ERR_MSG_TXT("MJDGGES requires two square real matrices of the same dimension.");
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/* Create a matrix for the return argument */
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plhs[1] = mxCreateDoubleMatrix(n1, n1, mxREAL);
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plhs[2] = mxCreateDoubleMatrix(n1, n1, mxREAL);
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plhs[3] = mxCreateDoubleMatrix(n1, n1, mxREAL);
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plhs[4] = mxCreateDoubleMatrix(1, 1, mxREAL);
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plhs[5] = mxCreateDoubleMatrix(n1, 1, mxCOMPLEX);
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plhs[6] = mxCreateDoubleMatrix(1, 1, mxREAL);
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/* Assign pointers to the various parameters */
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double *s = mxGetPr(plhs[1]);
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double *t = mxGetPr(plhs[2]);
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double *z = mxGetPr(plhs[3]);
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double *sdim = mxGetPr(plhs[4]);
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#if MX_HAS_INTERLEAVED_COMPLEX
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mxComplexDouble *gev = mxGetComplexDoubles(plhs[5]);
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#else
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double *gev_r = mxGetPr(plhs[5]);
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double *gev_i = mxGetPi(plhs[5]);
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#endif
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double *info = mxGetPr(plhs[6]);
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const double *a = mxGetPr(prhs[0]);
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const double *b = mxGetPr(prhs[1]);
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/* set criterium for stable eigenvalues */
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if (nrhs >= 3 && mxGetM(prhs[2]) > 0)
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criterium = *mxGetPr(prhs[2]);
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else
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criterium = 1+1e-6;
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/* set criterium for 0/0 generalized eigenvalues */
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double zhreshold;
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if (nrhs == 4 && mxGetM(prhs[3]) > 0)
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zhreshold = *mxGetPr(prhs[3]);
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else
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zhreshold = 1e-6;
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/* keep a and b intact */
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std::copy_n(a, n1*n1, s);
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std::copy_n(b, n1*n1, t);
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lapack_int i_n = static_cast<lapack_int>(n1);
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auto alpha_r = std::make_unique<double[]>(n1);
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auto alpha_i = std::make_unique<double[]>(n1);
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auto beta = std::make_unique<double[]>(n1);
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lapack_int lwork = 16*i_n+16;
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auto work = std::make_unique<double[]>(lwork);
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auto bwork = std::make_unique<lapack_int[]>(i_n);
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lapack_int i_info, i_sdim;
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#if defined(MATLAB_MEX_FILE) && MATLAB_VERSION < 0x0904
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/* The left Schur vectors (VSL) are normally not computed, since JOBVSL="N".
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But old MKL versions (at least the one shipped with MATLAB R2009b/7.9, which
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is MKL 10.1) are
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buggy, and passing nullptr for VSL leads to a crash. Hence we need to
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allocate space for it.
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The bug seems to be fixed in MATLAB R2010a/7.10 (MKL 10.2), but we use the
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workaround for all versions < R2018a/9.4, since those share the same
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ABI and hence the same executables. */
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auto vsl = std::make_unique<double[]>(n1*n1);
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#endif
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dgges("N", "V", "S", my_criteria, &i_n, s, &i_n, t, &i_n, &i_sdim, alpha_r.get(), alpha_i.get(),
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beta.get(),
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#if defined(MATLAB_MEX_FILE) && MATLAB_VERSION < 0x0904
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vsl.get(),
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#else
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nullptr,
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#endif
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&i_n, z, &i_n, work.get(), &lwork, bwork.get(), &i_info);
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*sdim = static_cast<double>(i_sdim);
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*info = static_cast<double>(i_info);
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for (size_t i = 0; i < n1; i++)
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{
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if (std::abs(alpha_r[i]) > zhreshold || std::abs(beta[i]) > zhreshold)
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#if MX_HAS_INTERLEAVED_COMPLEX
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gev[i].real = alpha_r[i] / beta[i];
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#else
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gev_r[i] = alpha_r[i] / beta[i];
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#endif
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else
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{
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/* the ratio is too close to 0/0;
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returns specific error number only if no other error */
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if (*info == 0)
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*info = -30;
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}
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if (alpha_i[i] == 0.0 && beta[i] == 0.0)
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#if MX_HAS_INTERLEAVED_COMPLEX
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gev[i].imag = 0.0;
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#else
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gev_i[i] = 0.0;
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#endif
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else
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#if MX_HAS_INTERLEAVED_COMPLEX
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gev[i].imag = alpha_i[i] / beta[i];
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#else
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gev_i[i] = alpha_i[i] / beta[i];
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#endif
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}
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plhs[0] = mxCreateDoubleScalar(0);
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}
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