annotate scripts/signal/unwrap.m @ 14868:5d3a684236b0

maint: Use Octave coding conventions for cuddling parentheses in scripts directory * lin2mu.m, loadaudio.m, wavread.m, accumarray.m, bicubic.m, celldisp.m, colon.m, cplxpair.m, dblquad.m, divergence.m, genvarname.m, gradient.m, int2str.m, interp1.m, interp1q.m, interp2.m, interpn.m, loadobj.m, nthargout.m, __isequal__.m, __splinen__.m, quadgk.m, quadl.m, quadv.m, rat.m, rot90.m, rotdim.m, saveobj.m, subsindex.m, triplequad.m, delaunay3.m, griddata.m, inpolygon.m, tsearchn.m, voronoi.m, get_first_help_sentence.m, which.m, gray2ind.m, pink.m, dlmwrite.m, strread.m, textread.m, textscan.m, housh.m, ishermitian.m, issymmetric.m, krylov.m, logm.m, null.m, rref.m, compare_versions.m, copyfile.m, dump_prefs.m, edit.m, fileparts.m, getappdata.m, isappdata.m, movefile.m, orderfields.m, parseparams.m, __xzip__.m, rmappdata.m, setappdata.m, swapbytes.m, unpack.m, ver.m, fminbnd.m, fminunc.m, fsolve.m, glpk.m, lsqnonneg.m, qp.m, sqp.m, configure_make.m, copy_files.m, describe.m, get_description.m, get_forge_pkg.m, install.m, installed_packages.m, is_architecture_dependent.m, load_package_dirs.m, print_package_description.m, rebuild.m, repackage.m, save_order.m, shell.m, allchild.m, ancestor.m, area.m, axes.m, axis.m, clabel.m, close.m, colorbar.m, comet.m, comet3.m, contour.m, cylinder.m, ezmesh.m, ezsurf.m, findobj.m, fplot.m, hist.m, isocolors.m, isonormals.m, isosurface.m, isprop.m, legend.m, mesh.m, meshz.m, pareto.m, pcolor.m, peaks.m, plot3.m, plotmatrix.m, plotyy.m, polar.m, print.m, __add_datasource__.m, __add_default_menu__.m, __axes_limits__.m, __bar__.m, __clabel__.m, __contour__.m, __errcomm__.m, __errplot__.m, __ezplot__.m, __file_filter__.m, __fltk_print__.m, __ghostscript__.m, __gnuplot_print__.m, __go_draw_axes__.m, __go_draw_figure__.m, __interp_cube__.m, __marching_cube__.m, __patch__.m, __pie__.m, __plt__.m, __print_parse_opts__.m, __quiver__.m, __scatter__.m, __stem__.m, __tight_eps_bbox__.m, __uigetdir_fltk__.m, __uigetfile_fltk__.m, __uiputfile_fltk__.m, quiver.m, quiver3.m, rectangle.m, refreshdata.m, ribbon.m, scatter.m, semilogy.m, shading.m, slice.m, subplot.m, surface.m, surfl.m, surfnorm.m, text.m, uigetfile.m, uiputfile.m, whitebg.m, deconv.m, mkpp.m, pchip.m, polyaffine.m, polyder.m, polygcd.m, polyout.m, polyval.m, ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, splinefit.m, addpref.m, getpref.m, setpref.m, ismember.m, setxor.m, arch_fit.m, arch_rnd.m, arch_test.m, autoreg_matrix.m, diffpara.m, fftconv.m, filter2.m, hanning.m, hurst.m, periodogram.m, triangle_sw.m, sinc.m, spectral_xdf.m, spencer.m, stft.m, synthesis.m, unwrap.m, yulewalker.m, bicgstab.m, gmres.m, pcg.m, pcr.m, __sprand_impl__.m, speye.m, spfun.m, sprandn.m, spstats.m, svds.m, treelayout.m, treeplot.m, bessel.m, factor.m, legendre.m, perms.m, primes.m, magic.m, toeplitz.m, corr.m, cov.m, mean.m, median.m, mode.m, qqplot.m, quantile.m, ranks.m, zscore.m, logistic_regression_likelihood.m, bartlett_test.m, chisquare_test_homogeneity.m, chisquare_test_independence.m, kolmogorov_smirnov_test.m, run_test.m, u_test.m, wilcoxon_test.m, z_test.m, z_test_2.m, bin2dec.m, dec2base.m, mat2str.m, strcat.m, strchr.m, strjust.m, strtok.m, substr.m, untabify.m, assert.m, demo.m, example.m, fail.m, speed.m, test.m, now.m: Use Octave coding conventions for cuddling parentheses in scripts directory.
author Rik <octave@nomad.inbox5.com>
date Tue, 17 Jul 2012 07:08:39 -0700
parents f3d52523cde1
children d63878346099
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rev   line source
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1 ## Copyright (C) 2000-2012 Bill Lash
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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{b} =} unwrap (@var{x})
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21 ## @deftypefnx {Function File} {@var{b} =} unwrap (@var{x}, @var{tol})
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22 ## @deftypefnx {Function File} {@var{b} =} unwrap (@var{x}, @var{tol}, @var{dim})
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23 ##
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24 ## Unwrap radian phases by adding multiples of 2*pi as appropriate to
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25 ## remove jumps greater than @var{tol}. @var{tol} defaults to pi.
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26 ##
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27 ## Unwrap will work along the dimension @var{dim}. If @var{dim}
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28 ## is unspecified it defaults to the first non-singleton dimension.
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29 ## @end deftypefn
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30
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31 ## Author: Bill Lash <lash@tellabs.com>
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32
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33 function retval = unwrap (x, tol, dim)
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34
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35 if (nargin < 1 || nargin > 3)
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36 print_usage ();
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37 endif
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38
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39 if (!isnumeric (x))
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40 error ("unwrap: X must be a numeric matrix or vector");
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41 endif
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42
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43 if (nargin < 2 || isempty (tol))
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44 tol = pi;
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45 endif
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46
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47 ## Don't let anyone use a negative value for TOL.
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48 tol = abs (tol);
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49
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50 nd = ndims (x);
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51 sz = size (x);
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52 if (nargin == 3)
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53 if (!(isscalar (dim) && dim == fix (dim))
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54 || !(1 <= dim && dim <= nd))
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55 error ("unwrap: DIM must be an integer and a valid dimension");
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56 endif
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57 else
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58 ## Find the first non-singleton dimension.
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59 (dim = find (sz > 1, 1)) || (dim = 1);
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60 endif
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61
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62 rng = 2*pi;
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63 m = sz(dim);
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64
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65 ## Handle case where we are trying to unwrap a scalar, or only have
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66 ## one sample in the specified dimension.
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67 if (m == 1)
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68 retval = x;
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69 return;
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70 endif
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71
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72 ## Take first order difference to see so that wraps will show up
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73 ## as large values, and the sign will show direction.
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74 idx = repmat ({':'}, nd, 1);
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75 idx{dim} = [1,1:m-1];
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76 d = x(idx{:}) - x;
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77
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78 ## Find only the peaks, and multiply them by the appropriate amount
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79 ## of ranges so that there are kronecker deltas at each wrap point
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80 ## multiplied by the appropriate amount of range values.
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81 p = ceil (abs (d)./rng) .* rng .* (((d > tol) > 0) - ((d < -tol) > 0));
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82
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83 ## Now need to "integrate" this so that the deltas become steps.
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84 r = cumsum (p, dim);
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85
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86 ## Now add the "steps" to the original data and put output in the
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87 ## same shape as originally.
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88 retval = x + r;
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89
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90 endfunction
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91
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92
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93 %!function t = __xassert (a,b,tol)
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94 %! if (nargin == 1)
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95 %! t = all (a(:));
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96 %! else
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97 %! if (nargin == 2)
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98 %! tol = 0;
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99 %! endif
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100 %! if (any (size (a) != size (b)))
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101 %! t = 0;
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102 %! elseif (any (abs (a(:) - b(:)) > tol))
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103 %! t = 0;
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104 %! else
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105 %! t = 1;
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106 %! endif
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107 %! endif
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108 %!endfunction
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109 %!
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110 %!test
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111 %!
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112 %! i = 0;
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113 %! t = [];
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114 %!
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115 %! r = [0:100]; # original vector
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116 %! w = r - 2*pi*floor ((r+pi)/(2*pi)); # wrapped into [-pi,pi]
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117 %! tol = 1e3*eps; # maximum expected deviation
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118 %!
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119 %! t(++i) = __xassert (r, unwrap (w), tol); #unwrap single row
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120 %! t(++i) = __xassert (r', unwrap (w'), tol); #unwrap single column
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121 %! t(++i) = __xassert ([r',r'], unwrap ([w',w']), tol); #unwrap 2 columns
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122 %! t(++i) = __xassert ([r;r], unwrap ([w;w],[],2), tol); #check that dim works
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123 %! t(++i) = __xassert (r+10, unwrap (10+w), tol); #check r(1)>pi works
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124 %!
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125 %! t(++i) = __xassert (w', unwrap (w',[],2)); #unwrap col by rows should not change it
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126 %! t(++i) = __xassert (w, unwrap (w,[],1)); #unwrap row by cols should not change it
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127 %! t(++i) = __xassert ([w;w], unwrap ([w;w])); #unwrap 2 rows by cols should not change them
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128 %!
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129 %! ## verify that setting tolerance too low will cause bad results.
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130 %! t(++i) = __xassert (any (abs (r - unwrap (w,0.8)) > 100));
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131 %!
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132 %! assert (all (t));
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133 %!
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134 %!test
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135 %! A = [pi*(-4), pi*(-2+1/6), pi/4, pi*(2+1/3), pi*(4+1/2), pi*(8+2/3), pi*(16+1), pi*(32+3/2), pi*64];
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136 %! assert (unwrap (A), unwrap (A, pi));
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137 %! assert (unwrap (A, pi), unwrap (A, pi, 2));
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138 %! assert (unwrap (A', pi), unwrap (A', pi, 1));
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139 %!
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140 %!test
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141 %! A = [pi*(-4); pi*(2+1/3); pi*(16+1)];
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142 %! B = [pi*(-2+1/6); pi*(4+1/2); pi*(32+3/2)];
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143 %! C = [pi/4; pi*(8+2/3); pi*64];
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144 %! D = [pi*(-2+1/6); pi*(2+1/3); pi*(8+2/3)];
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145 %! E(:, :, 1) = [A, B, C, D];
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146 %! E(:, :, 2) = [A+B, B+C, C+D, D+A];
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147 %! F(:, :, 1) = [unwrap(A), unwrap(B), unwrap(C), unwrap(D)];
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148 %! F(:, :, 2) = [unwrap(A+B), unwrap(B+C), unwrap(C+D), unwrap(D+A)];
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149 %! assert (unwrap (E), F);
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150 %!
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151 %!test
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152 %! A = [0, 2*pi, 4*pi, 8*pi, 16*pi, 65536*pi];
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153 %! B = [pi*(-2+1/6), pi/4, pi*(2+1/3), pi*(4+1/2), pi*(8+2/3), pi*(16+1), pi*(32+3/2), pi*64];
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154 %! assert (unwrap (A), zeros (1, length (A)));
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155 %! assert (diff (unwrap (B), 1) < 2*pi, true (1, length (B)-1));
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156
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157 %!error unwrap()
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158