annotate scripts/general/idivide.m @ 14138:72c96de7a403 stable

maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
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1 ## Copyright (C) 2008-2012 David Bateman
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} idivide (@var{x}, @var{y}, @var{op})
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21 ## Integer division with different rounding rules.
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22 ##
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23 ## The standard behavior of integer division such as @code{@var{a} ./ @var{b}}
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24 ## is to round the result to the nearest integer. This is not always the
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25 ## desired behavior and @code{idivide} permits integer element-by-element
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26 ## division to be performed with different treatment for the fractional
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27 ## part of the division as determined by the @var{op} flag. @var{op} is
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28 ## a string with one of the values:
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29 ##
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30 ## @table @asis
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31 ## @item "fix"
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32 ## Calculate @code{@var{a} ./ @var{b}} with the fractional part rounded
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33 ## towards zero.
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34 ##
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35 ## @item "round"
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36 ## Calculate @code{@var{a} ./ @var{b}} with the fractional part rounded
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37 ## towards the nearest integer.
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38 ##
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39 ## @item "floor"
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40 ## Calculate @code{@var{a} ./ @var{b}} with the fractional part rounded
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41 ## towards negative infinity.
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42 ##
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43 ## @item "ceil"
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44 ## Calculate @code{@var{a} ./ @var{b}} with the fractional part rounded
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45 ## towards positive infinity.
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46 ## @end table
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47 ##
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48 ## @noindent
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49 ## If @var{op} is not given it defaults to @code{"fix"}.
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50 ## An example demonstrating these rounding rules is
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51 ##
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52 ## @example
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53 ## @group
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54 ## idivide (int8 ([-3, 3]), int8 (4), "fix")
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55 ## @result{} int8 ([0, 0])
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56 ## idivide (int8 ([-3, 3]), int8 (4), "round")
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57 ## @result{} int8 ([-1, 1])
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58 ## idivide (int8 ([-3, 3]), int8 (4), "floor")
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59 ## @result{} int8 ([-1, 0])
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60 ## idivide (int8 ([-3, 3]), int8 (4), "ceil")
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61 ## @result{} int8 ([0, 1])
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62 ## @end group
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63 ## @end example
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64 ##
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65 ## @seealso{ldivide, rdivide}
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66 ## @end deftypefn
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67
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68 function z = idivide (x, y, op)
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69 if (nargin < 2 || nargin > 3)
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70 print_usage ();
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71 elseif (nargin == 2)
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72 op = "fix";
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73 else
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74 op = tolower (op);
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75 endif
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76
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77 if (strcmp (op, "round"))
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78 z = x ./ y;
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79 else
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80 if (isfloat (x))
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81 typ = class (y);
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82 elseif (isfloat (y))
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83 typ = class (x);
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84 else
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85 typ = class (x);
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86 if (!strcmp (class (x), class (y)))
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87 error ("idivide: incompatible types");
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88 endif
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89 endif
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90
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91 if (strcmp (op, "fix"))
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92 z = cast (fix (double (x) ./ double (y)), typ);
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93 elseif (strcmp (op, "floor"))
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94 z = cast (floor (double (x) ./ double (y)), typ);
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95 elseif (strcmp (op, "ceil"))
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96 z = cast (ceil (double (x) ./ double (y)), typ);
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97 else
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98 error ("idivide: unrecognized rounding type");
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99 endif
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100 endif
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101 endfunction
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102
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103 %!shared a, af, b, bf
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104 %! a = int8(3);
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105 %! af = 3;
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106 %! b = int8([-4, 4]);
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107 %! bf = [-4, 4];
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108
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109 %!assert (idivide (a, b), int8 ([0, 0]))
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110 %!assert (idivide (a, b, "floor"), int8([-1, 0]))
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111 %!assert (idivide (a, b, "ceil"), int8 ([0, 1]))
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112 %!assert (idivide (a, b, "round"), int8 ([-1, 1]))
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113
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114 %!assert (idivide (af, b), int8 ([0, 0]))
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115 %!assert (idivide (af, b, "floor"), int8([-1, 0]))
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116 %!assert (idivide (af, b, "ceil"), int8 ([0, 1]))
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117 %!assert (idivide (af, b, "round"), int8 ([-1, 1]))
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118
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119 %!assert (idivide (a, bf), int8 ([0, 0]))
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120 %!assert (idivide (a, bf, "floor"), int8([-1, 0]))
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121 %!assert (idivide (a, bf, "ceil"), int8 ([0, 1]))
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122 %!assert (idivide (a, bf, "round"), int8 ([-1, 1]))
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123
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124 %!error (idivide (uint8(1), int8(1)))