Mercurial > octave
view liboctave/array/dDiagMatrix.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | 0a5b15007766 |
children | 597f3ee61a48 |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 1994-2022 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // 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 // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if defined (HAVE_CONFIG_H) # include "config.h" #endif #include <ostream> #include "Array-util.h" #include "lo-error.h" #include "mx-base.h" #include "mx-inlines.cc" #include "oct-cmplx.h" // Diagonal Matrix class. bool DiagMatrix::operator == (const DiagMatrix& a) const { if (rows () != a.rows () || cols () != a.cols ()) return 0; return mx_inline_equal (length (), data (), a.data ()); } bool DiagMatrix::operator != (const DiagMatrix& a) const { return !(*this == a); } DiagMatrix& DiagMatrix::fill (double val) { for (octave_idx_type i = 0; i < length (); i++) elem (i, i) = val; return *this; } DiagMatrix& DiagMatrix::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; } DiagMatrix& DiagMatrix::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; } DiagMatrix& DiagMatrix::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; } DiagMatrix& DiagMatrix::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; } DiagMatrix& DiagMatrix::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; } DiagMatrix DiagMatrix::abs (void) const { return DiagMatrix (extract_diag ().abs (), rows (), columns ()); } DiagMatrix real (const ComplexDiagMatrix& a) { return DiagMatrix (real (a.extract_diag ()), a.rows (), a.cols ()); } DiagMatrix imag (const ComplexDiagMatrix& a) { return DiagMatrix (imag (a.extract_diag ()), a.rows (), a.cols ()); } Matrix DiagMatrix::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; Matrix 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. RowVector DiagMatrix::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"); RowVector retval (c, 0.0); if (r <= c || i < c) retval.elem (i) = elem (i, i); return retval; } RowVector DiagMatrix::row (char *s) const { if (! s) (*current_liboctave_error_handler) ("invalid row selection"); char c = s[0]; 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"); } ColumnVector DiagMatrix::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"); ColumnVector retval (r, 0.0); if (r >= c || i < r) retval.elem (i) = elem (i, i); return retval; } ColumnVector DiagMatrix::column (char *s) const { if (! s) (*current_liboctave_error_handler) ("invalid column selection"); char c = s[0]; 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"); } DiagMatrix DiagMatrix::inverse (void) const { octave_idx_type info; return inverse (info); } DiagMatrix DiagMatrix::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"); DiagMatrix retval (r, c); info = 0; octave_idx_type len = r; // alias for readability octave_idx_type z_count = 0; // zeros octave_idx_type nz_count = 0; // non-zeros for (octave_idx_type i = 0; i < len; i++) { if (xelem (i, i) == 0.0) { z_count++; if (nz_count > 0) break; } else { nz_count++; if (z_count > 0) break; retval.elem (i, i) = 1.0 / xelem (i, i); } } if (nz_count == 0) { (*current_liboctave_error_handler) ("inverse of the null matrix not defined"); } else if (z_count > 0) { info = -1; element_type *data = retval.fortran_vec (); std::fill (data, data + len, octave::numeric_limits<double>::Inf ()); } return retval; } DiagMatrix DiagMatrix::pseudo_inverse (double tol) const { octave_idx_type r = rows (); octave_idx_type c = cols (); octave_idx_type len = length (); DiagMatrix 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; } // diagonal matrix by diagonal matrix -> diagonal matrix operations // diagonal matrix by diagonal matrix -> diagonal matrix operations DiagMatrix operator * (const DiagMatrix& 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) octave::err_nonconformant ("operator *", a_nr, a_nc, b_nr, b_nc); DiagMatrix 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; } // other operations DET DiagMatrix::determinant (void) const { DET 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 DiagMatrix::rcond (void) const { ColumnVector av = extract_diag (0).map<double> (fabs); double amx = av.max (); double amn = av.min (); return amx == 0 ? 0.0 : amn / amx; } std::ostream& operator << (std::ostream& os, const DiagMatrix& a) { // 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) */ << 0.0; } os << "\n"; } return os; }