Mercurial > octave
view liboctave/array/CDiagMatrix.cc @ 21301:40de9f8f23a6
Use '#include "config.h"' rather than <config.h>.
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CNDArray.cc, CRowVector.cc, CSparse.cc, DiagArray2.cc, MArray-C.cc,
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Range.cc, Sparse-C.cc, Sparse-b.cc, Sparse-d.cc, Sparse.cc, boolMatrix.cc,
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dim-vector.cc, fCColVector.cc, fCDiagMatrix.cc, fCMatrix.cc, fCNDArray.cc,
fCRowVector.cc, fColVector.cc, fDiagMatrix.cc, fMatrix.cc, fNDArray.cc,
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octave-config.in.cc:
Use '#include "config.h"' rather than <config.h>.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 18 Feb 2016 13:34:50 -0800 |
parents | f7121e111991 |
children | aba2e6293dd8 |
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// DiagMatrix manipulations. /* Copyright (C) 1994-2015 John W. Eaton Copyright (C) 2009 VZLU Prague This file is part of Octave. Octave is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. Octave is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with Octave; see the file COPYING. If not, see <http://www.gnu.org/licenses/>. */ #ifdef HAVE_CONFIG_H # include "config.h" #endif #include <iostream> #include "Array-util.h" #include "lo-error.h" #include "lo-ieee.h" #include "mx-base.h" #include "mx-inlines.cc" #include "oct-cmplx.h" // Complex Diagonal Matrix class ComplexDiagMatrix::ComplexDiagMatrix (const DiagMatrix& a) : MDiagArray2<Complex> (a.rows (), a.cols ()) { for (octave_idx_type i = 0; i < length (); i++) elem (i, i) = a.elem (i, i); } bool ComplexDiagMatrix::operator == (const ComplexDiagMatrix& a) const { if (rows () != a.rows () || cols () != a.cols ()) return 0; return mx_inline_equal (length (), data (), a.data ()); } bool ComplexDiagMatrix::operator != (const ComplexDiagMatrix& a) const { return !(*this == a); } ComplexDiagMatrix& ComplexDiagMatrix::fill (double val) { for (octave_idx_type i = 0; i < length (); i++) elem (i, i) = val; return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const Complex& val) { for (octave_idx_type i = 0; i < length (); i++) elem (i, i) = val; return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (double val, octave_idx_type beg, octave_idx_type end) { if (beg < 0 || end >= length () || end < beg) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = beg; i <= end; i++) elem (i, i) = val; return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const Complex& val, octave_idx_type beg, octave_idx_type end) { if (beg < 0 || end >= length () || end < beg) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = beg; i <= end; i++) elem (i, i) = val; return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ColumnVector& a) { octave_idx_type len = length (); if (a.numel () != len) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < len; i++) elem (i, i) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ComplexColumnVector& a) { octave_idx_type len = length (); if (a.numel () != len) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < len; i++) elem (i, i) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const RowVector& a) { octave_idx_type len = length (); if (a.numel () != len) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < len; i++) elem (i, i) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ComplexRowVector& a) { octave_idx_type len = length (); if (a.numel () != len) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < len; i++) elem (i, i) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ColumnVector& a, octave_idx_type beg) { octave_idx_type a_len = a.numel (); if (beg < 0 || beg + a_len >= length ()) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < a_len; i++) elem (i+beg, i+beg) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ComplexColumnVector& a, octave_idx_type beg) { octave_idx_type a_len = a.numel (); if (beg < 0 || beg + a_len >= length ()) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < a_len; i++) elem (i+beg, i+beg) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const RowVector& a, octave_idx_type beg) { octave_idx_type a_len = a.numel (); if (beg < 0 || beg + a_len >= length ()) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < a_len; i++) elem (i+beg, i+beg) = a.elem (i); return *this; } ComplexDiagMatrix& ComplexDiagMatrix::fill (const ComplexRowVector& a, octave_idx_type beg) { octave_idx_type a_len = a.numel (); if (beg < 0 || beg + a_len >= length ()) (*current_liboctave_error_handler) ("range error for fill"); for (octave_idx_type i = 0; i < a_len; i++) elem (i+beg, i+beg) = a.elem (i); return *this; } DiagMatrix ComplexDiagMatrix::abs (void) const { return DiagMatrix (extract_diag ().abs (), rows (), columns ()); } ComplexDiagMatrix conj (const ComplexDiagMatrix& a) { return ComplexDiagMatrix (conj (a.extract_diag ()), a.rows (), a.columns ()); } // resize is the destructive analog for this one ComplexMatrix ComplexDiagMatrix::extract (octave_idx_type r1, octave_idx_type c1, octave_idx_type r2, octave_idx_type c2) const { if (r1 > r2) { std::swap (r1, r2); } if (c1 > c2) { std::swap (c1, c2); } octave_idx_type new_r = r2 - r1 + 1; octave_idx_type new_c = c2 - c1 + 1; ComplexMatrix result (new_r, new_c); for (octave_idx_type j = 0; j < new_c; j++) for (octave_idx_type i = 0; i < new_r; i++) result.elem (i, j) = elem (r1+i, c1+j); return result; } // extract row or column i. ComplexRowVector ComplexDiagMatrix::row (octave_idx_type i) const { octave_idx_type r = rows (); octave_idx_type c = cols (); if (i < 0 || i >= r) (*current_liboctave_error_handler) ("invalid row selection"); ComplexRowVector retval (c, 0.0); if (r <= c || (r > c && i < c)) retval.elem (i) = elem (i, i); return retval; } ComplexRowVector ComplexDiagMatrix::row (char *s) const { if (! s) (*current_liboctave_error_handler) ("invalid row selection"); char c = *s; if (c == 'f' || c == 'F') return row (static_cast<octave_idx_type>(0)); else if (c == 'l' || c == 'L') return row (rows () - 1); else (*current_liboctave_error_handler) ("invalid row selection"); } ComplexColumnVector ComplexDiagMatrix::column (octave_idx_type i) const { octave_idx_type r = rows (); octave_idx_type c = cols (); if (i < 0 || i >= c) (*current_liboctave_error_handler) ("invalid column selection"); ComplexColumnVector retval (r, 0.0); if (r >= c || (r < c && i < r)) retval.elem (i) = elem (i, i); return retval; } ComplexColumnVector ComplexDiagMatrix::column (char *s) const { if (! s) (*current_liboctave_error_handler) ("invalid column selection"); char c = *s; if (c == 'f' || c == 'F') return column (static_cast<octave_idx_type>(0)); else if (c == 'l' || c == 'L') return column (cols () - 1); else (*current_liboctave_error_handler) ("invalid column selection"); } ComplexDiagMatrix ComplexDiagMatrix::inverse (void) const { octave_idx_type info; return inverse (info); } ComplexDiagMatrix ComplexDiagMatrix::inverse (octave_idx_type& info) const { octave_idx_type r = rows (); octave_idx_type c = cols (); if (r != c) (*current_liboctave_error_handler) ("inverse requires square matrix"); ComplexDiagMatrix retval (r, c); info = 0; for (octave_idx_type i = 0; i < length (); i++) { if (elem (i, i) == 0.0) { info = -1; return *this; } else retval.elem (i, i) = 1.0 / elem (i, i); } return retval; } ComplexDiagMatrix ComplexDiagMatrix::pseudo_inverse (double tol) const { octave_idx_type r = rows (); octave_idx_type c = cols (); octave_idx_type len = length (); ComplexDiagMatrix retval (c, r); for (octave_idx_type i = 0; i < len; i++) { double val = std::abs (elem (i, i)); if (val < tol || val == 0.0) retval.elem (i, i) = 0.0; else retval.elem (i, i) = 1.0 / elem (i, i); } return retval; } bool ComplexDiagMatrix::all_elements_are_real (void) const { return mx_inline_all_real (length (), data ()); } // diagonal matrix by diagonal matrix -> diagonal matrix operations ComplexDiagMatrix& ComplexDiagMatrix::operator += (const DiagMatrix& a) { octave_idx_type r = rows (); octave_idx_type c = cols (); octave_idx_type a_nr = a.rows (); octave_idx_type a_nc = a.cols (); if (r != a_nr || c != a_nc) err_nonconformant ("operator +=", r, c, a_nr, a_nc); if (r == 0 || c == 0) return *this; Complex *d = fortran_vec (); // Ensures only one reference to my privates! mx_inline_add2 (length (), d, a.data ()); return *this; } ComplexDiagMatrix operator * (const ComplexDiagMatrix& a, const DiagMatrix& b) { octave_idx_type a_nr = a.rows (); octave_idx_type a_nc = a.cols (); octave_idx_type b_nr = b.rows (); octave_idx_type b_nc = b.cols (); if (a_nc != b_nr) err_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); ComplexDiagMatrix c (a_nr, b_nc); octave_idx_type len = c.length (); octave_idx_type lenm = len < a_nc ? len : a_nc; for (octave_idx_type i = 0; i < lenm; i++) c.dgxelem (i) = a.dgelem (i) * b.dgelem (i); for (octave_idx_type i = lenm; i < len; i++) c.dgxelem (i) = 0.0; return c; } ComplexDiagMatrix operator * (const DiagMatrix& a, const ComplexDiagMatrix& b) { octave_idx_type a_nr = a.rows (); octave_idx_type a_nc = a.cols (); octave_idx_type b_nr = b.rows (); octave_idx_type b_nc = b.cols (); if (a_nc != b_nr) err_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); if (a_nr == 0 || a_nc == 0 || b_nc == 0) return ComplexDiagMatrix (a_nr, a_nc, 0.0); ComplexDiagMatrix c (a_nr, b_nc); octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; for (octave_idx_type i = 0; i < len; i++) { double a_element = a.elem (i, i); Complex b_element = b.elem (i, i); c.elem (i, i) = a_element * b_element; } return c; } ComplexDiagMatrix operator * (const ComplexDiagMatrix& a, const ComplexDiagMatrix& b) { octave_idx_type a_nr = a.rows (); octave_idx_type a_nc = a.cols (); octave_idx_type b_nr = b.rows (); octave_idx_type b_nc = b.cols (); if (a_nc != b_nr) err_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); if (a_nr == 0 || a_nc == 0 || b_nc == 0) return ComplexDiagMatrix (a_nr, a_nc, 0.0); ComplexDiagMatrix c (a_nr, b_nc); octave_idx_type len = a_nr < b_nc ? a_nr : b_nc; for (octave_idx_type i = 0; i < len; i++) { Complex a_element = a.elem (i, i); Complex b_element = b.elem (i, i); c.elem (i, i) = a_element * b_element; } return c; } // other operations ComplexDET ComplexDiagMatrix::determinant (void) const { ComplexDET det (1.0); if (rows () != cols ()) (*current_liboctave_error_handler) ("determinant requires square matrix"); octave_idx_type len = length (); for (octave_idx_type i = 0; i < len; i++) det *= elem (i, i); return det; } double ComplexDiagMatrix::rcond (void) const { ColumnVector av = extract_diag (0).map<double> (std::abs); double amx = av.max (); double amn = av.min (); return amx == 0 ? 0.0 : amn / amx; } // i/o std::ostream& operator << (std::ostream& os, const ComplexDiagMatrix& a) { Complex ZERO (0.0); // int field_width = os.precision () + 7; for (octave_idx_type i = 0; i < a.rows (); i++) { for (octave_idx_type j = 0; j < a.cols (); j++) { if (i == j) os << " " /* setw (field_width) */ << a.elem (i, i); else os << " " /* setw (field_width) */ << ZERO; } os << "\n"; } return os; }