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binoinv.m: Implement binary search algorithm for 28X performance increase (bug #34363). * binoinv.m: Call new functions scalar_binoinv or vector_binoinv to calculate binoinv. If there are still uncalculated values then call bin_search_binoinv to perform binary search for remaining values. Add more BIST tests. * binoinv.m (scalar_binoinv): New subfunction to calculate binoinv for scalar x. Stops when x > 1000. * binoinv.m (vector_binoinv): New subfunction to calculate binoinv for scalar x. Stops when x > 1000.
author Lachlan Andrew <lachlanbis@gmail.com>
date Sun, 11 Oct 2015 19:49:40 -0700
parents f1d0f506ee78
children
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4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 2000-2015 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 remove
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25 ## jumps greater than @var{tol}.
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26 ##
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27 ## @var{tol} defaults to pi.
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28 ##
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29 ## Unwrap will work along the dimension @var{dim}. If @var{dim}
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30 ## is unspecified it defaults to the first non-singleton dimension.
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31 ## @end deftypefn
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32
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33 ## Author: Bill Lash <lash@tellabs.com>
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34
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35 function retval = unwrap (x, tol, dim)
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36
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37 if (nargin < 1 || nargin > 3)
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38 print_usage ();
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39 endif
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40
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41 if (! isnumeric (x))
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42 error ("unwrap: X must be a numeric matrix or vector");
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43 endif
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44
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45 if (nargin < 2 || isempty (tol))
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46 tol = pi;
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47 endif
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48
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49 ## Don't let anyone use a negative value for TOL.
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50 tol = abs (tol);
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51
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52 nd = ndims (x);
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53 sz = size (x);
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54 if (nargin == 3)
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55 if (!(isscalar (dim) && dim == fix (dim))
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56 || !(1 <= dim && dim <= nd))
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57 error ("unwrap: DIM must be an integer and a valid dimension");
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58 endif
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59 else
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60 ## Find the first non-singleton dimension.
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61 (dim = find (sz > 1, 1)) || (dim = 1);
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62 endif
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63
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64 rng = 2*pi;
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65 m = sz(dim);
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66
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67 ## Handle case where we are trying to unwrap a scalar, or only have
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68 ## one sample in the specified dimension.
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69 if (m == 1)
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70 retval = x;
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71 return;
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72 endif
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73
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74 ## Take first order difference to see so that wraps will show up
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75 ## as large values, and the sign will show direction.
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76 idx = repmat ({':'}, nd, 1);
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77 idx{dim} = [1,1:m-1];
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78 d = x(idx{:}) - x;
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79
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80 ## Find only the peaks, and multiply them by the appropriate amount
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81 ## of ranges so that there are kronecker deltas at each wrap point
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82 ## multiplied by the appropriate amount of range values.
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83 p = ceil (abs (d)./rng) .* rng .* (((d > tol) > 0) - ((d < -tol) > 0));
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84
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85 ## Now need to "integrate" this so that the deltas become steps.
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86 r = cumsum (p, dim);
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87
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88 ## Now add the "steps" to the original data and put output in the
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89 ## same shape as originally.
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90 retval = x + r;
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91
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92 endfunction
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93
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94
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95 %!function t = __xassert (a,b,tol)
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96 %! if (nargin == 1)
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97 %! t = all (a(:));
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98 %! else
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99 %! if (nargin == 2)
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100 %! tol = 0;
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101 %! endif
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102 %! if (any (size (a) != size (b)))
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103 %! t = 0;
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104 %! elseif (any (abs (a(:) - b(:)) > tol))
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105 %! t = 0;
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106 %! else
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107 %! t = 1;
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108 %! endif
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109 %! endif
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110 %!endfunction
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111 %!
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112 %!test
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113 %!
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114 %! i = 0;
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115 %! t = [];
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116 %!
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117 %! r = [0:100]; # original vector
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118 %! w = r - 2*pi*floor ((r+pi)/(2*pi)); # wrapped into [-pi,pi]
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119 %! tol = 1e3*eps; # maximum expected deviation
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120 %!
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121 %! t(++i) = __xassert (r, unwrap (w), tol); #unwrap single row
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122 %! t(++i) = __xassert (r', unwrap (w'), tol); #unwrap single column
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123 %! t(++i) = __xassert ([r',r'], unwrap ([w',w']), tol); #unwrap 2 columns
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124 %! t(++i) = __xassert ([r;r], unwrap ([w;w],[],2), tol); #check that dim works
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125 %! t(++i) = __xassert (r+10, unwrap (10+w), tol); #check r(1)>pi works
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126 %!
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127 %! t(++i) = __xassert (w', unwrap (w',[],2)); #unwrap col by rows should not change it
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128 %! t(++i) = __xassert (w, unwrap (w,[],1)); #unwrap row by cols should not change it
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129 %! t(++i) = __xassert ([w;w], unwrap ([w;w])); #unwrap 2 rows by cols should not change them
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130 %!
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jwe
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131 %! ## verify that setting tolerance too low will cause bad results.
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Rik <octave@nomad.inbox5.com>
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132 %! t(++i) = __xassert (any (abs (r - unwrap (w,0.8)) > 100));
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John W. Eaton <jwe@octave.org>
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133 %!
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134 %! assert (all (t));
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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135 %!
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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136 %!test
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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137 %! 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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Rik <octave@nomad.inbox5.com>
parents: 14138
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138 %! assert (unwrap (A), unwrap (A, pi));
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139 %! assert (unwrap (A, pi), unwrap (A, pi, 2));
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140 %! assert (unwrap (A', pi), unwrap (A', pi, 1));
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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141 %!
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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142 %!test
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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143 %! A = [pi*(-4); pi*(2+1/3); pi*(16+1)];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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144 %! B = [pi*(-2+1/6); pi*(4+1/2); pi*(32+3/2)];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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145 %! C = [pi/4; pi*(8+2/3); pi*64];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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146 %! D = [pi*(-2+1/6); pi*(2+1/3); pi*(8+2/3)];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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147 %! E(:, :, 1) = [A, B, C, D];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
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148 %! E(:, :, 2) = [A+B, B+C, C+D, D+A];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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149 %! F(:, :, 1) = [unwrap(A), unwrap(B), unwrap(C), unwrap(D)];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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150 %! F(:, :, 2) = [unwrap(A+B), unwrap(B+C), unwrap(C+D), unwrap(D+A)];
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Rik <octave@nomad.inbox5.com>
parents: 14138
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151 %! assert (unwrap (E), F);
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parents: 12676
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152 %!
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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153 %!test
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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154 %! A = [0, 2*pi, 4*pi, 8*pi, 16*pi, 65536*pi];
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Andriy Shinkarchuck <adriano32.gnu@gmail.com>
parents: 12676
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155 %! 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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Rik <octave@nomad.inbox5.com>
parents: 14138
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156 %! assert (unwrap (A), zeros (1, length (A)));
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Rik <octave@nomad.inbox5.com>
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157 %! assert (diff (unwrap (B), 1) < 2*pi, true (1, length (B)-1));
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158
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parents: 12676
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159 %!error unwrap()
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