Mercurial > octave-libtiff
annotate scripts/general/sph2cart.m @ 28171:a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
* cart2pol.m, cart2sph.m, pol2cart.m, sph2cart.m: Modified to allow row or
column vector inputs, remove full matrix single output argument option, and
clarified coordinate definitions in help text.
* lightangle.m, surfl.m: Fix existing instances where single output was used
and a matrix was expected.
* NEWS: Added coordinate transform changes to Matlab compatibility section.
author | Nicholas R. Jankowski <jankowskin@asme.org> |
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date | Sun, 16 Feb 2020 20:19:05 -0500 |
parents | a4268efb7334 |
children | e82484e1b2f6 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2000-2020 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/>. |
3803 | 7 ## |
8 ## This file is part of Octave. | |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
3803 | 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. |
3803 | 14 ## |
15 ## Octave is distributed in the hope that it will be useful, but | |
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. |
3803 | 19 ## |
20 ## You should have received a copy of the GNU General Public License | |
7016 | 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 ######################################################################## |
3803 | 25 |
26 ## -*- texinfo -*- | |
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27 ## @deftypefn {} {[@var{x}, @var{y}, @var{z}] =} sph2cart (@var{theta}, @var{phi}, @var{r}) |
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28 ## @deftypefnx {} {[@var{x}, @var{y}, @var{z}] =} sph2cart (@var{S}) |
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29 ## Transform spherical coordinates to Cartesian coordinates. |
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30 ## |
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31 ## The inputs @var{theta}, @var{phi}, and @var{r} must be the same shape, or |
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32 ## scalar. If called with a single matrix argument then each row of @var{S} |
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33 ## must represent a spherical coordinate triplet (@var{theta}, @var{phi}, |
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34 ## @var{r}). |
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35 ## |
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36 ## The outputs @var{x}, @var{y}, @var{z} match the shape of the inputs. For a |
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37 ## matrix input @var{S} the outputs are column vectors with rows corresponding |
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38 ## to the rows of the input matrix. |
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39 ## |
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40 ## @var{theta} describes the azimuth angle relative to the positive x-axis |
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41 ## measured in the xy-plane. |
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42 ## |
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43 ## @var{phi} is the elevation angle measured relative to the xy-plane. |
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44 ## |
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45 ## @var{r} is the distance to the origin @w{(0, 0, 0)}. |
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46 ## |
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47 ## The coordinate transformation is computed using: |
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48 ## |
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49 ## @tex |
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50 ## $$ x = r \cos \phi \cos \theta $$ |
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51 ## $$ y = r \cos \phi \sin \theta $$ |
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52 ## $$ z = r \sin \phi $$ |
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53 ## @end tex |
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54 ## @ifnottex |
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55 ## |
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56 ## @example |
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57 ## @var{x} = r * cos (@var{phi}) * cos (@var{theta}) |
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58 ## @var{y} = r * cos (@var{phi}) * sin (@var{theta}) |
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59 ## @var{z} = r * sin (@var{phi}) |
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60 ## @end example |
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61 ## |
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62 ## @end ifnottex |
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63 ## @c FIXME: Remove this note in Octave 9.1 (two releases after 7.1). |
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64 ## Note: For @sc{matlab} compatibility, this function no longer returns a full |
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65 ## coordinate matrix when called with a single return argument. |
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66 ## @seealso{cart2sph, pol2cart, cart2pol} |
3803 | 67 ## @end deftypefn |
68 | |
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69 function [x, y, z] = sph2cart (theta, phi, r) |
3803 | 70 |
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71 if (nargin != 1 && nargin != 3) |
6046 | 72 print_usage (); |
3803 | 73 endif |
74 | |
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75 if (nargin == 1) |
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76 if (! (isnumeric (theta) && ismatrix (theta))) |
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77 error ("sph2cart: matrix input must be a 2-D numeric array"); |
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78 endif |
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79 if (columns (theta) != 3 && numel (theta) != 3) |
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80 error ("sph2cart: matrix input must be a 3-element vector or 3-column array"); |
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81 endif |
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82 |
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83 if (numel (theta) == 3) |
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84 r = theta(3); |
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85 phi = theta(2); |
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86 theta = theta(1); |
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87 else |
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88 r = theta(:,3); |
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89 phi = theta(:,2); |
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90 theta = theta(:,1); |
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91 endif |
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92 |
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93 else |
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94 if (! (isnumeric (theta) && isnumeric (phi) && isnumeric (r))) |
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95 error ("sph2cart: THETA, PHI, R must be numeric arrays or scalars"); |
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96 endif |
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97 [err, theta, phi, r] = common_size (theta, phi, r); |
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98 if (err) |
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99 error ("sph2cart: THETA, PHI, R must be the same size or scalars"); |
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100 endif |
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101 endif |
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102 |
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103 x = r .* cos (phi) .* cos (theta); |
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104 y = r .* cos (phi) .* sin (theta); |
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105 z = r .* sin (phi); |
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106 |
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107 endfunction |
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108 |
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109 |
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110 %!test |
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111 %! t = [0, 0, 0]; |
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112 %! p = [0, 0, 0]; |
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113 %! r = [0, 1, 2]; |
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114 %! [x, y, z] = sph2cart (t, p, r); |
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115 %! assert (x, r); |
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116 %! assert (y, [0, 0, 0]); |
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117 %! assert (z, [0, 0, 0]); |
3803 | 118 |
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119 %!test |
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120 %! t = [0; 0; 0]; |
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121 %! p = [0; 0; 0]; |
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122 %! r = [0; 1; 2]; |
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123 %! [x, y, z] = sph2cart (t, p, r); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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parents:
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124 %! assert (x, [0; 1; 2]); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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125 %! assert (y, [0; 0; 0]); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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126 %! assert (z, [0; 0; 0]); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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127 |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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128 %!test |
8533
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129 %! t = 0; |
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130 %! p = [0, 0, 0]; |
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131 %! r = [0, 1, 2]; |
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132 %! [x, y, z] = sph2cart (t, p, r); |
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133 %! assert (x, [0, 1, 2]); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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134 %! assert (y, [0, 0, 0]); |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
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135 %! assert (z, [0, 0, 0]); |
8533
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136 |
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137 %!test |
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138 %! t = [0, 0, 0]; |
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139 %! p = 0; |
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Permit scalars when transforming coordinates.
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140 %! r = [0, 1, 2]; |
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141 %! [x, y, z] = sph2cart (t, p, r); |
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142 %! assert (x, r); |
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Permit scalars when transforming coordinates.
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143 %! assert (y, [0, 0, 0]); |
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Permit scalars when transforming coordinates.
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144 %! assert (z, [0, 0, 0]); |
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Permit scalars when transforming coordinates.
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145 |
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146 %!test |
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147 %! t = [0, 0.5, 1]*pi; |
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148 %! p = [0, 0, 0]; |
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149 %! r = 1; |
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150 %! [x, y, z] = sph2cart (t, p, r); |
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151 %! assert (x, [1, 0, -1], eps); |
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152 %! assert (y, [0, 1, 0], eps); |
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153 %! assert (z, [0, 0, 0], eps); |
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154 |
10688
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coordinate transforms: add option to operate on column matrix of coordinates.
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155 %!test |
22432
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Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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156 %! [x, y, z] = sph2cart ([0 0 0], 0, 1); |
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Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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157 %! assert (x, [1, 1, 1], eps); |
1e88747417e6
Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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158 %! assert (y, [0, 0, 0], eps); |
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Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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159 %! assert (z, [0, 0, 0], eps); |
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Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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160 |
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Allow mixed scalar/array inputs to cart2pol, cart2sph, pol2cart, sph2cart (bug #48950).
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parents:
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161 %!test |
10688
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coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
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162 %! S = [ 0, 0, 1; 0.5*pi, 0, 1; pi, 0, 1]; |
28171
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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163 %! [x, y, z] = sph2cart (S); |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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164 %! assert (x, [1; 0; -1], eps); |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
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parents:
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165 %! assert (y, [0; 1; 0], eps); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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166 %! assert (z, [0; 0; 0], eps); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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167 |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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168 %!test |
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169 %! S = [ 0, 0, 1; 0.5*pi, 0, 1; pi, 0, 1; pi, pi, 1]; |
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170 %! [x, y, z] = sph2cart (S); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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parents:
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171 %! assert (x, [1; 0; -1; 1], eps); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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172 %! assert (y, [0; 1; 0; 0], eps); |
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
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173 %! assert (z, [0; 0; 0; 0], eps); |
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174 |
10688
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coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
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175 |
21172
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents:
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176 %!test |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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177 %! [t, p, r] = meshgrid ([0, pi/2], [0, pi/2], [0, 1]); |
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Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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178 %! [x, y, z] = sph2cart (t, p, r); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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179 %! X = zeros(2, 2, 2); |
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Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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180 %! X(1, 1, 2) = 1; |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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181 %! Y = zeros(2, 2, 2); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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182 %! Y(1, 2, 2) = 1; |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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parents:
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183 %! Z = zeros(2, 2, 2); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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184 %! Z(2, :, 2) = [1 1]; |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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parents:
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185 %! assert (x, X, eps); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents:
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186 %! assert (y, Y, eps); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents:
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187 %! assert (z, Z); |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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188 |
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Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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189 ## Test input validation |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
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190 %!error sph2cart () |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents:
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191 %!error sph2cart (1,2) |
5f62b5dae8b1
Fix regression for coordinate transforms on 3-D arrays (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents:
20158
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192 %!error sph2cart (1,2,3,4) |
28171
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Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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193 %!error <matrix input must be a 2-D numeric array> sph2cart ({1,2,3}) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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194 %!error <matrix input must be a 2-D numeric array> sph2cart (ones (3,3,2)) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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195 %!error <matrix input must be a 3-element> sph2cart ([1,2,3,4]) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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196 %!error <matrix input must be a 3-element> sph2cart ([1,2,3,4; 1,2,3,4; 1,2,3,4]) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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197 %!error <must be numeric arrays or scalars> sph2cart ({1,2,3}, [1,2,3], [1,2,3]) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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198 %!error <must be numeric arrays or scalars> sph2cart ([1,2,3], {1,2,3}, [1,2,3]) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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199 %!error <must be numeric arrays or scalars> sph2cart ([1,2,3], [1,2,3], {1,2,3}) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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200 %!error <must be the same size or scalars> sph2cart ([1,2,3], [1,2,3], [1,2,3]') |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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201 %!error <must be the same size or scalars> sph2cart (ones (3,3,3), 1, ones (3,2,3)) |
a23da76e0693
Matlab compatibility fixes for coordinate transform functions (bug #57794).
Nicholas R. Jankowski <jankowskin@asme.org>
parents:
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202 %!error <must be the same size or scalars> sph2cart (ones (3,3,3), ones (3,2,3), 1) |