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annotate scripts/general/cart2pol.m @ 20798:128414587af2

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don't print additional error message in argument list evaluation * pt-arg-list.cc (tree_argument_list::convert_to_const_vector): Don't call error for for failed argument evaluation.
author John W. Eaton <jwe@octave.org>
date Fri, 09 Oct 2015 16:52:49 -0400
parents 7503499a252b
children
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19898
4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 2000-2015 Kai Habel
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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} {[@var{theta}, @var{r}] =} cart2pol (@var{x}, @var{y})
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21 ## @deftypefnx {Function File} {[@var{theta}, @var{r}, @var{z}] =} cart2pol (@var{x}, @var{y}, @var{z})
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22 ## @deftypefnx {Function File} {[@var{theta}, @var{r}] =} cart2pol (@var{C})
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23 ## @deftypefnx {Function File} {[@var{theta}, @var{r}, @var{z}] =} cart2pol (@var{C})
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24 ## @deftypefnx {Function File} {@var{P} =} cart2pol (@dots{})
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25 ##
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26 ## Transform Cartesian coordinates to polar or cylindrical coordinates.
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27 ##
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28 ## The inputs @var{x}, @var{y} (, and @var{z}) must be the same shape, or
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29 ## scalar. If called with a single matrix argument then each row of @var{C}
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30 ## represents the Cartesian coordinate (@var{x}, @var{y} (, @var{z})).
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31 ##
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32 ## @var{theta} describes the angle relative to the positive x-axis.
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33 ##
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34 ## @var{r} is the distance to the z-axis @w{(0, 0, z)}.
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35 ##
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36 ## If only a single return argument is requested then return a matrix @var{P}
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37 ## where each row represents one polar/(cylindrical) coordinate
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38 ## (@var{theta}, @var{phi} (, @var{z})).
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39 ## @seealso{pol2cart, cart2sph, sph2cart}
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40 ## @end deftypefn
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41
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42 ## Author: Kai Habel <kai.habel@gmx.de>
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43 ## Adapted-by: jwe
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44
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45 function [theta, r, z] = cart2pol (x, y, z = [])
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46
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47 if (nargin < 1 || nargin > 3)
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48 print_usage ();
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49 endif
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50
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51 if (nargin == 1)
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52 if (ismatrix (x) && (columns (x) == 2 || columns (x) == 3))
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53 if (columns (x) == 3)
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54 z = x(:,3);
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55 endif
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56 y = x(:,2);
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57 x = x(:,1);
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58 else
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59 error ("cart2pol: matrix input must have 2 or 3 columns [X, Y (, Z)]");
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60 endif
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61 elseif (nargin == 2)
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62 if (! ((ismatrix (x) && ismatrix (y))
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63 && (size_equal (x, y) || isscalar (x) || isscalar (y))))
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64 error ("cart2pol: arguments must be matrices of same size, or scalar");
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65 endif
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66 elseif (nargin == 3)
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67 if (! ((ismatrix (x) && ismatrix (y) && ismatrix (z))
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68 && (size_equal (x, y) || isscalar (x) || isscalar (y))
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69 && (size_equal (x, z) || isscalar (x) || isscalar (z))
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70 && (size_equal (y, z) || isscalar (y) || isscalar (z))))
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71 error ("cart2pol: arguments must be matrices of same size, or scalar");
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72 endif
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73 endif
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74
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75 theta = atan2 (y, x);
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76 r = sqrt (x .^ 2 + y .^ 2);
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77
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78 if (nargout <= 1)
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79 theta = [theta(:), r(:), z(:)];
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80 endif
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81
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82 endfunction
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83
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84
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85 %!test
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86 %! x = [0, 1, 2];
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87 %! y = 0;
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88 %! [t, r] = cart2pol (x, y);
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89 %! assert (t, [0, 0, 0]);
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90 %! assert (r, x);
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91
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92 %!test
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93 %! x = [0, 1, 2];
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94 %! y = [0, 1, 2];
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95 %! P = cart2pol (x, y);
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96 %! assert (P(:,1), [0; pi/4; pi/4], sqrt (eps));
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97 %! assert (P(:,2), sqrt (2)*[0; 1; 2], sqrt (eps));
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98
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99 %!test
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100 %! x = [0, 1, 2];
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101 %! y = [0, 1, 2];
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102 %! z = [0, 1, 2];
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103 %! [t, r, z2] = cart2pol (x, y, z);
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104 %! assert (t, [0, pi/4, pi/4], sqrt (eps));
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105 %! assert (r, sqrt (2)*[0, 1, 2], sqrt (eps));
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106 %! assert (z, z2);
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107
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108 %!test
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109 %! x = [0, 1, 2];
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110 %! y = 0;
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111 %! z = 0;
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112 %! [t, r, z2] = cart2pol (x, y, z);
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113 %! assert (t, [0, 0, 0], eps);
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114 %! assert (r, x, eps);
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115 %! assert (z, z2);
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116
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117 %!test
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118 %! x = 0;
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119 %! y = [0, 1, 2];
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120 %! z = 0;
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121 %! [t, r, z2] = cart2pol (x, y, z);
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122 %! assert (t, [0, 1, 1]*pi/2, eps);
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123 %! assert (r, y, eps);
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124 %! assert (z, z2);
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125
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126 %!test
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127 %! x = 0;
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128 %! y = 0;
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129 %! z = [0, 1, 2];
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130 %! [t, r, z2] = cart2pol (x, y, z);
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131 %! assert (t, 0);
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132 %! assert (r, 0);
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133 %! assert (z, z2);
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134
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135 %!test
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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136 %! C = [0, 0; 1, 1; 2, 2];
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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137 %! P = [0, 0; pi/4, sqrt(2); pi/4, 2*sqrt(2)];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
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138 %! assert (cart2pol (C), P, sqrt (eps));
10688
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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139
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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140 %!test
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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141 %! C = [0, 0, 0; 1, 1, 1; 2, 2, 2];
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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142 %! P = [0, 0, 0; pi/4, sqrt(2), 1; pi/4, 2*sqrt(2), 2];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14138
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143 %! assert (cart2pol (C), P, sqrt (eps));
10688
7357e37f34fa coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents: 10687
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144