Mercurial > hg > octave-nkf
annotate scripts/polynomial/ppval.m @ 17336:b81b9d079515
Use '##' for comments which stand alone on a line.
* libinterp/corefcn/besselj.cc, libinterp/corefcn/conv2.cc,
libinterp/corefcn/pinv.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/sqrtm.cc,
libinterp/dldfcn/qr.cc, libinterp/parse-tree/pt-eval.cc,
scripts/general/cplxpair.m, scripts/general/repmat.m, scripts/help/doc.m,
scripts/help/doc_cache_create.m, scripts/image/colorcube.m,
scripts/image/hsv2rgb.m, scripts/image/image.m, scripts/io/strread.m,
scripts/io/textscan.m, scripts/miscellaneous/bzip2.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/gzip.m,
scripts/optimization/__all_opts__.m, scripts/optimization/fminbnd.m,
scripts/optimization/sqp.m, scripts/pkg/private/get_forge_pkg.m,
scripts/plot/area.m, scripts/plot/stemleaf.m, scripts/plot/surfc.m,
scripts/plot/uiresume.m, scripts/plot/zlabel.m, scripts/polynomial/mkpp.m,
scripts/polynomial/ppval.m, scripts/set/intersect.m, scripts/signal/freqz.m,
scripts/sparse/pcg.m, scripts/sparse/pcr.m, scripts/sparse/svds.m,
scripts/sparse/treelayout.m, scripts/specfun/ellipke.m,
scripts/special-matrix/toeplitz.m, scripts/strings/dec2base.m,
scripts/strings/strsplit.m, scripts/testfun/test.m, test/build-sparse-tests.sh,
test/index.tst, test/system.tst:
Use '##' for comments which stand alone on a line.
author | Rik <rik@octave.org> |
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date | Wed, 28 Aug 2013 08:27:38 -0700 |
parents | 5d3a684236b0 |
children | 1c89599167a6 |
rev | line source |
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1 ## Copyright (C) 2000-2012 Paul Kienzle |
5824 | 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. | |
5824 | 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/>. | |
5824 | 18 |
19 ## -*- texinfo -*- | |
5831 | 20 ## @deftypefn {Function File} {@var{yi} =} ppval (@var{pp}, @var{xi}) |
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21 ## Evaluate the piecewise polynomial structure @var{pp} at the points @var{xi}. |
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22 ## If @var{pp} describes a scalar polynomial function, the result is an |
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23 ## array of the same shape as @var{xi}. |
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24 ## Otherwise, the size of the result is @code{[pp.dim, length(@var{xi})]} if |
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25 ## @var{xi} is a vector, or @code{[pp.dim, size(@var{xi})]} if it is a |
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26 ## multi-dimensional array. |
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27 ## @seealso{mkpp, unmkpp, spline, pchip} |
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28 ## @end deftypefn |
5824 | 29 |
30 function yi = ppval (pp, xi) | |
31 | |
32 if (nargin != 2) | |
6046 | 33 print_usage (); |
5824 | 34 endif |
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35 if (! (isstruct (pp) && strcmp (pp.form, "pp"))) |
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36 error ("ppval: first argument must be a pp-form structure"); |
5824 | 37 endif |
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38 |
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39 ## Extract info. |
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40 [x, P, n, k, d] = unmkpp (pp); |
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41 |
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42 ## dimension checks |
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43 sxi = size (xi); |
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44 if (isvector (xi)) |
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45 xi = xi(:).'; |
5824 | 46 endif |
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47 |
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48 nd = length (d); |
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49 |
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50 ## Determine intervals. |
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51 xn = numel (xi); |
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52 idx = lookup (x, xi, "lr"); |
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53 |
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54 P = reshape (P, [d, n * k]); |
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55 P = shiftdim (P, nd); |
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56 P = reshape (P, [n, k, d]); |
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57 Pidx = P(idx(:), :);#2d matrix size x: coefs*prod(d) y: prod(sxi) |
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58 |
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59 if (isvector (xi)) |
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60 Pidx = reshape (Pidx, [xn, k, d]); |
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61 Pidx = shiftdim (Pidx, 1); |
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62 dimvec = [d, xn]; |
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63 else |
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64 Pidx = reshape (Pidx, [sxi, k, d]); |
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65 Pidx = shiftdim (Pidx, length (sxi)); |
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66 dimvec = [d, sxi]; |
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67 endif |
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68 ndv = length (dimvec); |
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69 |
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70 ## Offsets. |
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71 dx = (xi - x(idx))(:)'; |
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72 dx = repmat (dx, [prod(d), 1]); |
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73 dx = reshape (dx, dimvec); |
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74 dx = shiftdim (dx, ndv - 1); |
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75 |
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76 ## Use Horner scheme. |
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77 yi = Pidx; |
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78 if (k > 1) |
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79 yi = shiftdim (reshape (Pidx(1,:), dimvec), ndv - 1); |
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80 endif |
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81 |
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82 for i = 2 : k; |
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83 yi .*= dx; |
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84 yi += shiftdim (reshape (Pidx(i,:), dimvec), ndv - 1); |
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85 endfor |
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86 |
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87 ## Adjust shape. |
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88 if ((numel (xi) > 1) || (length (d) == 1)) |
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89 yi = reshape (shiftdim (yi, 1), dimvec); |
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90 endif |
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91 |
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92 if (isvector (xi) && (d == 1)) |
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93 yi = reshape (yi, sxi); |
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94 elseif (isfield (pp, "orient") && strcmp (pp.orient, "first")) |
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95 yi = shiftdim (yi, nd); |
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96 endif |
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97 |
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98 ## FIXME: Why is this commented out, rather than just removed? |
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99 #if (d == 1) |
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100 # yi = reshape (yi, sxi); |
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101 #endif |
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102 |
5824 | 103 endfunction |
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104 |
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105 |
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106 %!shared b, c, pp, pp2, xi, abserr |
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107 %! b = 1:3; |
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108 %! c = ones (2); |
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109 %! pp = mkpp (b, c); |
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110 %! abserr = 1e-14; |
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111 %! pp2 = mkpp (b, [c;c], 2); |
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112 %! xi = [1.1 1.3 1.9 2.1]; |
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113 %!assert (ppval (pp, 1.1), 1.1, abserr) |
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114 %!assert (ppval (pp, 2.1), 1.1, abserr) |
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115 %!assert (ppval (pp, xi), [1.1 1.3 1.9 1.1], abserr) |
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116 %!assert (ppval (pp, xi.'), [1.1 1.3 1.9 1.1].', abserr) |
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117 %!assert (ppval (pp2, 1.1), [1.1;1.1], abserr) |
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118 %!assert (ppval (pp2, 2.1), [1.1;1.1], abserr) |
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119 %!assert (ppval (pp2, xi), [1.1 1.3 1.9 1.1;1.1 1.3 1.9 1.1], abserr) |
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120 %!assert (ppval (pp2, xi'), [1.1 1.3 1.9 1.1;1.1 1.3 1.9 1.1], abserr) |
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121 %!assert (size (ppval (pp2, [xi;xi])), [2 2 4]) |
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14364
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122 %!test |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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123 %! breaks = [0, 1, 2, 3]; |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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124 %! coefs = rand (6, 4); |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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125 %! pp = mkpp (breaks, coefs, 2); |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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126 %! ret = zeros (2, 4, 2); |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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127 %! ret(:,:,1) = ppval (pp, breaks'); |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
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128 %! ret(:,:,2) = ppval (pp, breaks'); |
e437bacb3ef6
Fix ppval when pp.dim > 1 and xi is an array (bug #36665)
Marco Caliari <marco.caliari@univr.it>
parents:
14364
diff
changeset
|
129 %! assert (ppval (pp, [breaks',breaks']), ret) |