Mercurial > hg > octave-nkf
annotate scripts/general/cart2pol.m @ 11587:c792872f8942
all script files: untabify and strip trailing whitespace
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Thu, 20 Jan 2011 17:35:29 -0500 |
parents | fd0a3ac60b0e |
children | 72c96de7a403 |
rev | line source |
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11523 | 1 ## Copyright (C) 2000-2011 Kai Habel |
3803 | 2 ## |
3 ## This file is part of Octave. | |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3803 | 9 ## |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
14 ## | |
15 ## You should have received a copy of the GNU General Public License | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3803 | 18 |
19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {[@var{theta}, @var{r}] =} cart2pol (@var{x}, @var{y}) |
5610 | 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 to polar or cylindrical coordinates. |
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27 ## |
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28 ## @var{theta} describes the angle relative to the positive x-axis. |
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29 ## @var{r} is the distance to the z-axis @w{(0, 0, z)}. |
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30 ## @var{x}, @var{y} (and @var{z}) must be the same shape, or scalar. |
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31 ## If called with a single matrix argument then each row of @var{c} |
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32 ## represents the Cartesian coordinate (@var{x}, @var{y} (, @var{z})). |
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33 ## |
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34 ## If only a single return argument is requested then return a matrix |
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35 ## @var{p} where each row represents one polar/(cylindrical) coordinate |
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36 ## (@var{theta}, @var{phi} (, @var{z})). |
5642 | 37 ## @seealso{pol2cart, cart2sph, sph2cart} |
3803 | 38 ## @end deftypefn |
39 | |
40 ## Author: Kai Habel <kai.habel@gmx.de> | |
41 ## Adapted-by: jwe | |
42 | |
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43 function [theta, r, z] = cart2pol (x, y, z) |
3803 | 44 |
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45 if (nargin < 1 || nargin > 3) |
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46 print_usage (); |
3803 | 47 endif |
48 | |
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49 if (nargin == 1) |
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50 if (ismatrix (x) && (columns (x) == 2 || columns (x) == 3)) |
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51 if (columns (x) == 3) |
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52 z = x(:,3); |
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53 else |
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54 z = []; |
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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]; |
3803 | 80 endif |
81 | |
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82 endfunction |
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83 |
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84 %!test |
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85 %! x = [0, 1, 2]; |
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86 %! y = 0; |
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87 %! [t, r] = cart2pol (x, y); |
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88 %! assert (t, [0, 0, 0]); |
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89 %! assert (r, x); |
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90 |
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91 %!test |
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92 %! x = [0, 1, 2]; |
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93 %! y = [0, 1, 2]; |
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94 %! [t, r] = cart2pol (x, y); |
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95 %! assert (t, [0, pi/4, pi/4], sqrt(eps)); |
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96 %! assert (r, sqrt(2)*[0, 1, 2], sqrt(eps)); |
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97 |
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98 %!test |
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99 %! x = [0, 1, 2]; |
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100 %! y = [0, 1, 2]; |
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101 %! z = [0, 1, 2]; |
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102 %! [t, r, z2] = cart2pol (x, y, z); |
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103 %! assert (t, [0, pi/4, pi/4], sqrt(eps)); |
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104 %! assert (r, sqrt(2)*[0, 1, 2], sqrt(eps)); |
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105 %! assert (z, z2); |
3803 | 106 |
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107 %!test |
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108 %! x = [0, 1, 2]; |
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109 %! y = 0; |
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110 %! z = 0; |
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111 %! [t, r, z2] = cart2pol (x, y, z); |
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112 %! assert (t, [0, 0, 0], eps); |
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113 %! assert (r, x, eps); |
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114 %! assert (z, z2); |
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115 |
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116 %!test |
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117 %! x = 0; |
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118 %! y = [0, 1, 2]; |
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119 %! z = 0; |
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120 %! [t, r, z2] = cart2pol (x, y, z); |
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121 %! assert (t, [0, 1, 1]*pi/2, eps); |
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122 %! assert (r, y, eps); |
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123 %! assert (z, z2); |
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124 |
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125 %!test |
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126 %! x = 0; |
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127 %! y = 0; |
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128 %! z = [0, 1, 2]; |
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129 %! [t, r, z2] = cart2pol (x, y, z); |
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130 %! assert (t, 0); |
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131 %! assert (r, 0); |
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132 %! assert (z, z2); |
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133 |
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134 %!test |
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135 %! C = [0, 0; 1, 1; 2, 2]; |
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136 %! P = [0, 0; pi/4, sqrt(2); pi/4, 2*sqrt(2)]; |
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137 %! assert (cart2pol (C), P, sqrt(eps)); |
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138 |
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139 %!test |
7357e37f34fa
coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
10687
diff
changeset
|
140 %! 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
diff
changeset
|
141 %! P = [0, 0, 0; pi/4, sqrt(2), 1; pi/4, 2*sqrt(2), 2]; |
7357e37f34fa
coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
10687
diff
changeset
|
142 %! assert (cart2pol (C), P, sqrt(eps)); |
7357e37f34fa
coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
10687
diff
changeset
|
143 |