annotate scripts/special-matrix/magic.m @ 33624:e0c037a01fde default tip

redirect stdout and stderr into experimental terminal widget * command-widget.cc (command_widget): open temp files for redirecting stdout and stderr, setup a file system watcher for signals on changes to these files; (~command_widget): close and remove the temp. files; (insert_interpreter_output): use the style as second argument (print_stream): add new contents of temp. files for stdout and stderr to the end of the terminal contents; (notice_settings): set the terminal preferences to the new lexer of the console; (console): create and set new lexer; (new_command_line): use prompt style for the prompt; (execute_command): use second command line argument for the style; (append_string): use style as second argument and style the added text accordingly; * command-widget.h (console) append_string with second argument for style, (command_widget): now with destructor, new method print_stream, insert_interpreter_output with second argument for style, new class variables for temp. file descriptors and file system watcher * console-lexer.cc/h: new lexer derived from QScintillas default lexer for styling the terminal output, styles used so far: Default, Error, and Prompt * gui-preferences-cs.h: new constants for error and prompt colors * libgui/src/module.mk: new files console_lexer.cc/h * qt-interpreter-events.cc (display_exception): interpreter_output_signal with second argument for the style, here Error style * qt-interpreter-events.h: interpreter_output_signal with second argument for the style * terminal-dock-widget.h: interpreter_output_signal with second argument for the style
author Torsten Lilge <ttl-octave@mailbox.org>
date Sat, 25 May 2024 14:36:01 +0200
parents 2e484f9f1f18
children
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1999-2024 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{M} =} magic (@var{n})
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28 ##
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29 ## Create an @var{n}-by-@var{n} magic square.
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30 ##
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31 ## A magic square is an arrangement of the integers @code{1:n^2} such that the
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32 ## row sums, column sums, and diagonal sums are all equal to the same value.
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33 ##
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34 ## Note: @var{n} must be a scalar greater than or equal to 3. If you supply
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35 ## @var{n} less than 3, magic returns either a nonmagic square, or else the
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36 ## degenerate magic squares 1 and [].
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37 ## @end deftypefn
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38
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39 function M = magic (n)
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40
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41 if (nargin < 1)
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42 print_usage ();
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43 endif
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44
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45 n = fix (n);
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46 if (n < 0)
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47 error ("magic: N must be non-negative");
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48 elseif (n < 1)
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49 M = [];
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50 elseif (mod (n, 2) == 1)
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51
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52 shift = floor ((0:n*n-1)/n);
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53 c = mod ([1:n*n] - shift + (n-3)/2, n);
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54 r = mod ([n*n:-1:1] + 2*shift, n);
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55 M(c*n+r+1) = 1:n*n;
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56 M = reshape (M, n, n);
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57
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58 elseif (mod (n, 4) == 0)
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59
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60 M = reshape (1:n*n, n, n)';
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61 I = [1:4:n, 4:4:n];
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62 J = fliplr (I);
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63 M(I,I) = M(J,J);
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64 I = [2:4:n, 3:4:n];
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65 J = fliplr (I);
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66 M(I,I) = M(J,J);
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67
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68 elseif (mod (n, 4) == 2)
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69
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70 m = n/2;
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71 M = magic (m);
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72 M = [M, M+2*m*m; M+3*m*m, M+m*m];
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73 k = (m-1)/2;
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74 if (k > 1)
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75 I = 1:m;
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76 J = [2:k, n-k+2:n];
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77 M([I,I+m],J) = M([I+m,I],J);
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78 endif
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79 I = [1:k, k+2:m];
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80 M([I,I+m],1) = M([I+m,I],1);
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81 I = k + 1;
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82 M([I,I+m],I) = M([I+m,I],I);
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83
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84 endif
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85
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86 endfunction
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87
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88
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89 %!test
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90 %! for i = 3:30
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91 %! A = magic (i);
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92 %! assert (norm(diff([sum(diag(A)),sum(diag(flipud(A))),sum(A),sum(A')])),0);
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93 %! endfor
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94
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95 ## Not a magic square but we must return something (bug #46672).
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96 ## While one day we may change the actual return of magic (2),
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97 ## this properties still must be true.
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98 %!test <*46672>
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99 %! m = magic (2);
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100 %! assert (size (m), [2 2]);
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101 %! assert (m, [4 3; 1 2]);
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102
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103 %!assert (isempty (magic (0)))
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104 %!assert (magic (1), 1)
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105 %!assert (magic (1.5), 1)
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106
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107 ## Test input validation
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108 %!error <Invalid call> magic ()
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109 %!error <N must be non-negative> magic (-5)