annotate scripts/general/interp1.m @ 18642:a07814a8ffb0

interp1.m: Small formatting changes only. * interp1.m: Keep line lengths < 80 characters. Use if/elseif to avoid one unnecessary calculation.
author Rik <rik@octave.org>
date Tue, 08 Apr 2014 20:08:27 -0700
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children
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1 ## Copyright (C) 2000-2013 Paul Kienzle
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2 ## Copyright (C) 2009 VZLU Prague
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {@var{yi} =} interp1 (@var{x}, @var{y}, @var{xi})
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22 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@var{y}, @var{xi})
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23 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, @var{method})
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24 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, @var{extrap})
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25 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, "left")
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26 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, "right")
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27 ## @deftypefnx {Function File} {@var{pp} =} interp1 (@dots{}, "pp")
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28 ##
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29 ## One-dimensional interpolation.
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30 ##
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31 ## Interpolate input data to determine the value of @var{yi} at the points
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32 ## @var{xi}. If not specified, @var{x} is taken to be the indices of @var{y}
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33 ## (@code{1:length (@var{y})}). If @var{y} is a matrix or an N-dimensional
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34 ## array, the interpolation is performed on each column of @var{y}.
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35 ##
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36 ## The interpolation @var{method} is one of:
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37 ##
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38 ## @table @asis
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39 ## @item @qcode{"nearest"}
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40 ## Return the nearest neighbor.
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41 ##
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42 ## @item @qcode{"linear"} (default)
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43 ## Linear interpolation from nearest neighbors.
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44 ##
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45 ## @item @qcode{"pchip"}
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46 ## Piecewise cubic Hermite interpolating polynomial---shape-preserving
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47 ## interpolation with smooth first derivative.
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48 ##
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49 ## @item @qcode{"cubic"}
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50 ## Cubic interpolation (same as @qcode{"pchip"}).
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51 ##
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52 ## @item @qcode{"spline"}
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53 ## Cubic spline interpolation---smooth first and second derivatives
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54 ## throughout the curve.
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55 ## @end table
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56 ##
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57 ## Adding '*' to the start of any method above forces @code{interp1}
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58 ## to assume that @var{x} is uniformly spaced, and only @code{@var{x}(1)}
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59 ## and @code{@var{x}(2)} are referenced. This is usually faster,
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60 ## and is never slower. The default method is @qcode{"linear"}.
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61 ##
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62 ## If @var{extrap} is the string @qcode{"extrap"}, then extrapolate values
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63 ## beyond the endpoints using the current @var{method}. If @var{extrap} is a
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64 ## number, then replace values beyond the endpoints with that number. When
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65 ## unspecified, @var{extrap} defaults to @code{NA}.
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66 ##
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67 ## If the string argument @qcode{"pp"} is specified, then @var{xi} should not
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68 ## be supplied and @code{interp1} returns a piecewise polynomial object. This
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69 ## object can later be used with @code{ppval} to evaluate the interpolation.
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70 ## There is an equivalence, such that @code{ppval (interp1 (@var{x},
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71 ## @var{y}, @var{method}, @qcode{"pp"}), @var{xi}) == interp1 (@var{x}, @var{y},
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72 ## @var{xi}, @var{method}, @qcode{"extrap"})}.
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73 ##
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74 ## Duplicate points in @var{x} specify a discontinuous interpolant. There
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75 ## may be at most 2 consecutive points with the same value.
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76 ## If @var{x} is increasing, the default discontinuous interpolant is
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77 ## right-continuous. If @var{x} is decreasing, the default discontinuous
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78 ## interpolant is left-continuous.
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79 ## The continuity condition of the interpolant may be specified by using
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80 ## the options, @qcode{"left"} or @qcode{"right"}, to select a left-continuous
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81 ## or right-continuous interpolant, respectively.
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82 ## Discontinuous interpolation is only allowed for @qcode{"nearest"} and
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83 ## @qcode{"linear"} methods; in all other cases, the @var{x}-values must be
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84 ## unique.
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85 ##
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86 ## An example of the use of @code{interp1} is
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87 ##
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88 ## @example
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89 ## @group
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90 ## xf = [0:0.05:10];
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91 ## yf = sin (2*pi*xf/5);
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92 ## xp = [0:10];
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93 ## yp = sin (2*pi*xp/5);
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94 ## lin = interp1 (xp, yp, xf);
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95 ## near = interp1 (xp, yp, xf, "nearest");
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96 ## pch = interp1 (xp, yp, xf, "pchip");
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97 ## spl = interp1 (xp, yp, xf, "spline");
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98 ## plot (xf,yf,"r", xf,near,"g", xf,lin,"b", xf,pch,"c", xf,spl,"m",
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99 ## xp,yp,"r*");
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100 ## legend ("original", "nearest", "linear", "pchip", "spline");
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101 ## @end group
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102 ## @end example
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103 ##
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104 ## @seealso{pchip, spline, interpft, interp2, interp3, interpn}
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105 ## @end deftypefn
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106
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107 ## Author: Paul Kienzle
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108 ## Date: 2000-03-25
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109 ## added 'nearest' as suggested by Kai Habel
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110 ## 2000-07-17 Paul Kienzle
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111 ## added '*' methods and matrix y
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112 ## check for proper table lengths
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113 ## 2002-01-23 Paul Kienzle
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114 ## fixed extrapolation
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115
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116 function yi = interp1 (x, y, varargin)
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117
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118 if (nargin < 2 || nargin > 6)
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119 print_usage ();
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120 endif
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121
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122 method = "linear";
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123 extrap = NA;
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124 xi = [];
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125 ispp = false;
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126 firstnumeric = true;
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127 rightcontinuous = NaN;
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128
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129 if (nargin > 2)
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130 for i = 1:length (varargin)
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131 arg = varargin{i};
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132 if (ischar (arg))
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133 arg = tolower (arg);
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134 switch (arg)
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135 case "extrap"
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
136 extrap = "extrap";
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
137 case "pp"
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
138 ispp = true;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
139 case {"right", "-right"}
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
140 rightcontinuous = true;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
141 case {"left", "-left"}
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
142 rightcontinuous = false;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
143 otherwise
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
144 method = arg;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
145 endswitch
5837
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jwe
parents:
diff changeset
146 else
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
147 if (firstnumeric)
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
148 xi = arg;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
149 firstnumeric = false;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
150 else
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
151 extrap = arg;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
152 endif
5837
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jwe
parents:
diff changeset
153 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
154 endfor
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
155 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
156
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
157 if (isempty (xi) && firstnumeric && ! ispp)
10820
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
158 xi = y;
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
159 y = x;
17088
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
160 if (isvector (y))
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
161 x = 1:numel (y);
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
162 else
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
163 x = 1:rows (y);
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
164 endif
10820
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
165 endif
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
166
5837
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jwe
parents:
diff changeset
167 ## reshape matrices for convenience
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
168 x = x(:);
9754
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Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
169 nx = rows (x);
9769
9a1c4fe44af8 small interp1 simplification
Jaroslav Hajek <highegg@gmail.com>
parents: 9754
diff changeset
170 szx = size (xi);
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
171 if (isvector (y))
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
172 y = y(:);
5837
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jwe
parents:
diff changeset
173 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
174
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
175 szy = size (y);
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
176 y = y(:,:);
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
177 [ny, nc] = size (y);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
178 xi = xi(:);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
179
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
180 ## determine sizes
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
181 if (nx < 2 || ny < 2)
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
182 error ("interp1: minimum of 2 points required in each dimension");
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
183 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
184
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
185 ## check whether x is sorted; sort if not.
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
186 if (! issorted (x, "either"))
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
187 [x, p] = sort (x);
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
188 y = y(p,:);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
189 endif
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
190
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
191 if (isnan (rightcontinuous))
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
192 ## If not specified, set the continuity condition
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
193 if (x(end) < x(1))
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
194 rightcontinuous = false;
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
195 else
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
196 rightcontinuous = true;
17306
09543e9c8f40 Use explicit form of end (endif, endfor, etc.) in core m-files.
Rik <rik@octave.org>
parents: 17281
diff changeset
197 endif
18642
a07814a8ffb0 interp1.m: Small formatting changes only.
Rik <rik@octave.org>
parents: 18635
diff changeset
198 elseif ((rightcontinuous && (x(end) < x(1)))
a07814a8ffb0 interp1.m: Small formatting changes only.
Rik <rik@octave.org>
parents: 18635
diff changeset
199 || (! rightcontinuous && (x(end) > x(1))))
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
200 ## Switch between left-continuous and right-continuous
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
201 x = flipud (x);
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
202 y = flipud (y);
17306
09543e9c8f40 Use explicit form of end (endif, endfor, etc.) in core m-files.
Rik <rik@octave.org>
parents: 17281
diff changeset
203 endif
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
204
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
205 starmethod = method(1) == "*";
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
206
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
207 if (starmethod)
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
208 dx = x(2) - x(1);
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
209 else
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
210 jumps = x(1:end-1) == x(2:end);
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
211 have_jumps = any (jumps);
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
212 if (have_jumps)
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
213 if (strcmp (method, "linear") || strcmp (method, ("nearest")))
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
214 if (any (jumps(1:nx-2) & jumps(2:nx-1)))
18418
1ad77b3e6bef interp1.m: Demote error to warning about multiple discontinuties (bug #41386).
Rik <rik@octave.org>
parents: 18417
diff changeset
215 warning ("interp1: multiple discontinuities at the same X value");
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
216 endif
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
217 else
18642
a07814a8ffb0 interp1.m: Small formatting changes only.
Rik <rik@octave.org>
parents: 18635
diff changeset
218 error ("interp1: discontinuities not supported for method '%s'",
a07814a8ffb0 interp1.m: Small formatting changes only.
Rik <rik@octave.org>
parents: 18635
diff changeset
219 method);
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
220 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
221 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
222 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
223
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
224 ## Proceed with interpolating by all methods.
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
225 switch (method)
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
226
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
227 case "nearest"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
228 pp = mkpp ([x(1); (x(1:nx-1)+x(2:nx))/2; x(nx)],
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
229 shiftdim (y, 1), szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
230 pp.orient = "first";
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
231
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
232 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
233 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
234 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
235 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
236 endif
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
237
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
238 case "*nearest"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
239 pp = mkpp ([x(1), x(1)+[0.5:(nx-1)]*dx, x(nx)],
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
240 shiftdim (y, 1), szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
241 pp.orient = "first";
18642
a07814a8ffb0 interp1.m: Small formatting changes only.
Rik <rik@octave.org>
parents: 18635
diff changeset
242
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
243 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
244 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
245 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
246 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
247 endif
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
248
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
249 case "linear"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
250 xx = x;
18633
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
251 nxx = nx;
18415
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
252 yy = y;
18633
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
253 dy = diff (yy);
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
254 if (have_jumps)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
255 ## Omit zero-size intervals.
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
256 xx(jumps) = [];
18415
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
257 nxx = rows (xx);
18633
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
258 yy(jumps, :) = [];
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
259 dy(jumps, :) = [];
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
260 endif
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
261
18415
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
262 dx = diff (xx);
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
263 dx = repmat (dx, [1 size(dy)(2:end)]);
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
264
18633
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
265 coefs = [(dy./dx).', yy(1:nxx-1, :).'];
18415
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
266
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
267 pp = mkpp (xx, coefs, szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
268 pp.orient = "first";
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
269
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
270 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
271 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
272 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
273 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
274 endif
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
275
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
276 case "*linear"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
277 dy = diff (y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
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diff changeset
278 coefs = [(dy/dx).'(:), y(1:nx-1, :).'(:)];
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
279 pp = mkpp (x, coefs, szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
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parents: 17088
diff changeset
280 pp.orient = "first";
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
281
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
282 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
283 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
284 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
285 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
286 endif
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diff changeset
287
17174
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Rik <rik@octave.org>
parents: 17088
diff changeset
288 case {"pchip", "*pchip", "cubic", "*cubic"}
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
289 if (nx == 2 || starmethod)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
290 x = linspace (x(1), x(nx), ny);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
291 endif
13141
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John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
292
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
293 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
294 y = shiftdim (reshape (y, szy), 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
295 yi = pchip (x, y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
296 yi.orient = "first";
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
297 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
298 y = shiftdim (y, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
299 yi = pchip (x, y, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
300 if (! isvector (y))
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
301 yi = shiftdim (yi, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
302 endif
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
303 endif
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
304
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
305 case {"spline", "*spline"}
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
306 if (nx == 2 || starmethod)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
307 x = linspace (x(1), x(nx), ny);
14492
7ce925166af6 Fix inconsistent orientation of output matrix for interp1.
Olaf Till <i7tiol@t-online.de>
parents: 14363
diff changeset
308 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
309
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
310 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
311 y = shiftdim (reshape (y, szy), 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
312 yi = spline (x, y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
313 yi.orient = "first";
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
314 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
315 y = shiftdim (y, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
316 yi = spline (x, y, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
317 if (! isvector (y))
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
318 yi = shiftdim (yi, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
319 endif
14492
7ce925166af6 Fix inconsistent orientation of output matrix for interp1.
Olaf Till <i7tiol@t-online.de>
parents: 14363
diff changeset
320 endif
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
321
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
322 otherwise
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
323 error ("interp1: invalid method '%s'", method);
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
324
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
325 endswitch
5837
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jwe
parents:
diff changeset
326
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
327 if (! ispp && isnumeric (extrap))
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
328 ## determine which values are out of range and set them to extrap,
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
329 ## unless extrap == "extrap".
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
330 minx = min (x(1), x(nx));
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
331 maxx = max (x(1), x(nx));
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
332
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
333 outliers = xi < minx | ! (xi <= maxx); # this even catches NaNs
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
334 if (size_equal (outliers, yi))
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
335 yi(outliers) = extrap;
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
336 yi = reshape (yi, szx);
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
337 elseif (! isvector (yi))
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
338 yi(outliers, :) = extrap;
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
339 else
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
340 yi(outliers.') = extrap;
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
341 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
342 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
343
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
344 endfunction
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
345
14237
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Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
346
5837
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jwe
parents:
diff changeset
347 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
348 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
349 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
350 %! xp = 0:10; yp = sin (2*pi*xp/5);
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
351 %! lin = interp1 (xp,yp,xf, 'linear');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
352 %! spl = interp1 (xp,yp,xf, 'spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
353 %! pch = interp1 (xp,yp,xf, 'pchip');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
354 %! near= interp1 (xp,yp,xf, 'nearest');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
355 %! plot (xf,yf,'r',xf,near,'g',xf,lin,'b',xf,pch,'c',xf,spl,'m',xp,yp,'r*');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
356 %! legend ('original', 'nearest', 'linear', 'pchip', 'spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
357 %! title ('Interpolation of continuous function sin (x) w/various methods');
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
358 %! %--------------------------------------------------------
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
359 %! % confirm that interpolated function matches the original
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
360
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
361 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
362 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
363 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
364 %! xp = 0:10; yp = sin (2*pi*xp/5);
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
365 %! lin = interp1 (xp,yp,xf, '*linear');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
366 %! spl = interp1 (xp,yp,xf, '*spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
367 %! pch = interp1 (xp,yp,xf, '*pchip');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
368 %! near= interp1 (xp,yp,xf, '*nearest');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
369 %! plot (xf,yf,'r',xf,near,'g',xf,lin,'b',xf,pch,'c',xf,spl,'m',xp,yp,'r*');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
370 %! legend ('*original', '*nearest', '*linear', '*pchip', '*spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
371 %! title ('Interpolation of continuous function sin (x) w/various *methods');
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
372 %! %--------------------------------------------------------
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
373 %! % confirm that interpolated function matches the original
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
374
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
375 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
376 %! clf;
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
377 %! fstep = @(x) x > 1;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
378 %! xf = 0:0.05:2; yf = fstep (xf);
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
379 %! xp = linspace (0,2,10); yp = fstep (xp);
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
380 %! pch = interp1 (xp,yp,xf, 'pchip');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
381 %! spl = interp1 (xp,yp,xf, 'spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
382 %! plot (xf,yf,'r',xf,pch,'b',xf,spl,'m',xp,yp,'r*');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
383 %! title ({'Interpolation of step function with discontinuity at x==1', ...
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
384 %! 'Note: "pchip" is shape-preserving, "spline" (continuous 1st, 2nd derivatives) is not'});
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
385 %! legend ('original', 'pchip', 'spline');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
386
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
387 %!demo
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
388 %! clf;
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
389 %! t = 0 : 0.3 : pi; dt = t(2)-t(1);
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
390 %! n = length (t); k = 100; dti = dt*n/k;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
391 %! ti = t(1) + [0 : k-1]*dti;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
392 %! y = sin (4*t + 0.3) .* cos (3*t - 0.1);
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
393 %! ddys = diff (diff (interp1 (t,y,ti, 'spline'))./dti)./dti;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
394 %! ddyp = diff (diff (interp1 (t,y,ti, 'pchip')) ./dti)./dti;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
395 %! ddyc = diff (diff (interp1 (t,y,ti, 'cubic')) ./dti)./dti;
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
396 %! plot (ti(2:end-1),ddys,'b*', ti(2:end-1),ddyp,'c^', ti(2:end-1),ddyc,'g+');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
397 %! title ({'Second derivative of interpolated "sin (4*t + 0.3) .* cos (3*t - 0.1)"', ...
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
398 %! 'Note: "spline" has continous 2nd derivative, others do not'});
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
399 %! legend ('spline', 'pchip', 'cubic');
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
400
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
401 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
402 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
403 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5) - (xf >= 5);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
404 %! xp = [0:.5:4.5,4.99,5:.5:10]; yp = sin (2*pi*xp/5) - (xp >= 5);
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
405 %! lin = interp1 (xp,yp,xf, 'linear');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
406 %! near= interp1 (xp,yp,xf, 'nearest');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
407 %! plot (xf,yf,'r', xf,near,'g', xf,lin,'b', xp,yp,'r*');
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
408 %! legend ('original', 'nearest', 'linear');
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409 %! %--------------------------------------------------------
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410 %! % confirm that interpolated function matches the original
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411
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412 %!demo
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413 %! clf;
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414 %! x = 0:0.5:3;
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415 %! x1 = [3 2 2 1];
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416 %! x2 = [1 2 2 3];
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417 %! y1 = [1 1 0 0];
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418 %! y2 = [0 0 1 1];
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419 %! h = plot (x, interp1 (x1, y1, x), 'b', x1, y1, 'sb');
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420 %! hold on
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421 %! g = plot (x, interp1 (x2, y2, x), 'r', x2, y2, '*r');
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422 %! axis ([0.5 3.5 -0.5 1.5])
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423 %! legend ([h(1), g(1)], {'left-continuous', 'right-continuous'}, ...
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424 %! 'location', 'northwest')
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425 %! legend boxoff
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426 %! %--------------------------------------------------------
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427 %! % red curve is left-continuous and blue is right-continuous at x = 2
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428
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429 ##FIXME: add test for N-d arguments here
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430
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431 ## For each type of interpolated test, confirm that the interpolated
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432 ## value at the knots match the values at the knots. Points away
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433 ## from the knots are requested, but only "nearest" and "linear"
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434 ## confirm they are the correct values.
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435
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436 %!shared xp, yp, xi, style
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437 %! xp = 0:2:10;
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438 %! yp = sin (2*pi*xp/5);
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439 %! xi = [-1, 0, 2.2, 4, 6.6, 10, 11];
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440
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441 ## The following BLOCK/ENDBLOCK section is repeated for each style
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442 ## nearest, linear, cubic, spline, pchip
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443 ## The test for ppval of cubic has looser tolerance, but otherwise
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444 ## the tests are identical.
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445 ## Note that the block checks style and *style; if you add more tests
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446 ## be sure to add them to both sections of each block. One test,
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447 ## style vs. *style, occurs only in the first section.
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448 ## There is an ENDBLOCKTEST after the final block
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449
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450 %!test style = "nearest";
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451 ## BLOCK
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452 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
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453 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
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454 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
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455 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
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456 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
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457 %!assert (isempty (interp1 (xp',yp',[],style)))
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458 %!assert (isempty (interp1 (xp,yp,[],style)))
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459 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
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460 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
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461 %!assert (interp1 (xp,yp,xi,style),...
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462 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
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463 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
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464 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
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465 %!error interp1 (1,1,1, style)
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466 %!assert (interp1 (xp,[yp',yp'],xi,style),
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467 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
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468 %!test style = ["*",style];
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469 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
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470 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
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471 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
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472 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
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473 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
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474 %!assert (isempty (interp1 (xp',yp',[],style)))
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475 %!assert (isempty (interp1 (xp,yp,[],style)))
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476 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
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477 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
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478 %!assert (interp1 (xp,yp,xi,style),...
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479 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
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480 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
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481 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
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482 %!error interp1 (1,1,1, style)
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483 ## ENDBLOCK
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484
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485 %!test style = "linear";
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486 ## BLOCK
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487 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
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488 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
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489 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
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490 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
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491 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
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492 %!assert (isempty (interp1 (xp',yp',[],style)))
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493 %!assert (isempty (interp1 (xp,yp,[],style)))
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494 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
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495 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
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496 %!assert (interp1 (xp,yp,xi,style),...
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497 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
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498 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
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499 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
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500 %!error interp1 (1,1,1, style)
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501 %!assert (interp1 (xp,[yp',yp'],xi,style),
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502 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
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503 %!test style = ['*',style];
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504 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
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505 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
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506 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
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507 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
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508 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
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509 %!assert (isempty (interp1 (xp',yp',[],style)))
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510 %!assert (isempty (interp1 (xp,yp,[],style)))
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511 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
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512 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
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513 %!assert (interp1 (xp,yp,xi,style),...
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514 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
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515 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
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516 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
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517 %!assert (interp1 ([1 2 2 3], [1 2 3 4], 2), 3);
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518 %!assert (interp1 ([3 2 2 1], [4 3 2 1], 2), 2);
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519 %!error interp1 (1,1,1, style)
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520 ## ENDBLOCK
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521
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522 %!test style = "cubic";
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523 ## BLOCK
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524 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
525 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
526 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
527 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
528 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
529 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
530 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
531 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
532 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
533 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
534 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
535 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
536 %! interp1 (xp,yp,xi,style,"extrap"),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
537 %!error interp1 (1,1,1, style)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
538 %!assert (interp1 (xp,[yp',yp'],xi,style),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
539 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
540 %!test style = ["*",style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
541 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
542 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
543 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
544 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
545 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
546 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
547 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
548 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
549 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
550 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
551 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
552 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
553 %! interp1 (xp,yp,xi,style,"extrap"),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
554 %!error interp1 (1,1,1, style)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
555 ## ENDBLOCK
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
556
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
557 %!test style = "pchip";
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
558 ## BLOCK
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
559 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
560 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
561 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
562 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
563 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
564 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
565 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
566 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
567 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
568 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
569 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
570 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
571 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
572 %!error interp1 (1,1,1, style)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
573 %!assert (interp1 (xp,[yp',yp'],xi,style),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
574 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
575 %!test style = ["*",style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
576 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
577 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
578 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
579 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
580 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
581 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
582 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
583 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
584 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
585 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
586 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
587 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
588 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
589 %!error interp1 (1,1,1, style)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
590 ## ENDBLOCK
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
591
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
592 %!test style = "spline";
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
593 ## BLOCK
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
594 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
595 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
596 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
597 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
598 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
599 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
600 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
601 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
602 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
603 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
604 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
605 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
606 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
607 %!error interp1 (1,1,1, style)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
608 %!assert (interp1 (xp,[yp',yp'],xi,style),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
609 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
610 %!test style = ["*",style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
611 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
612 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
613 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
614 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
615 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
616 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
617 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
618 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
619 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
620 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
621 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
622 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
623 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
624 %!error interp1 (1,1,1, style)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
625 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
626 ## ENDBLOCKTEST
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
627
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
628 ## test extrapolation (linear)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
629 %!assert (interp1 ([1:5],[3:2:11],[0,6],"linear","extrap"), [1, 13], eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
630 %!assert (interp1 (xp, yp, [-1, max(xp)+1],"linear",5), [5, 5])
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
631
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
632 ## Basic sanity checks
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
633 %!assert (interp1 (1:2,1:2,1.4,"nearest"), 1)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
634 %!assert (interp1 (1:2,1:2,1.4,"linear"), 1.4)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
635 %!assert (interp1 (1:4,1:4,1.4,"cubic"), 1.4)
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
636 %!assert (interp1 (1:2,1:2,1.1,"spline"), 1.1)
14363
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parents: 14359
diff changeset
637 %!assert (interp1 (1:3,1:3,1.4,"spline"), 1.4)
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
638
14363
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Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
639 %!assert (interp1 (1:2:4,1:2:4,1.4,"*nearest"), 1)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
640 %!assert (interp1 (1:2:4,1:2:4,[0,1,1.4,3,4],"*linear"), [NA,1,1.4,3,NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
641 %!assert (interp1 (1:2:8,1:2:8,1.4,"*cubic"), 1.4)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
642 %!assert (interp1 (1:2,1:2,1.3, "*spline"), 1.3)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
643 %!assert (interp1 (1:2:6,1:2:6,1.4,"*spline"), 1.4)
7671
4fbaba9abec1 implement compiled binary lookup
Jaroslav Hajek <highegg@gmail.com>
parents: 7017
diff changeset
644
14363
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Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
645 %!assert (interp1 ([3,2,1],[3,2,2],2.5), 2.5)
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
646
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
647 %!assert (interp1 ([4,4,3,2,0],[0,1,4,2,1],[1.5,4,4.5], "linear"), [1.75,1,NA])
10820
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
648 %!assert (interp1 (0:4, 2.5), 1.5)
14363
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Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
649
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
650 ## Left and Right discontinuities
18633
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
651 %!assert (interp1 ([1,2,2,3,4],[0,1,4,2,1],[-1,1.5,2,2.5,3.5], "linear", "extrap", "right"), [-2,0.5,4,3,1.5])
5fe907167520 interp1.m: fix function for inputs w/multiple discontinuities (bug #41980).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 18418
diff changeset
652 %!assert (interp1 ([1,2,2,3,4],[0,1,4,2,1],[-1,1.5,2,2.5,3.5], "linear", "extrap", "left"), [-2,0.5,1,3,1.5])
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
653
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
654 %% Test input validation
14363
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Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
655 %!error interp1 ()
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
656 %!error interp1 (1,2,3,4,5,6,7)
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
657 %!error <minimum of 2 points required> interp1 (1,1,1, "linear")
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
658 %!error <minimum of 2 points required> interp1 (1,1,1, "*nearest")
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
659 %!error <minimum of 2 points required> interp1 (1,1,1, "*linear")
18418
1ad77b3e6bef interp1.m: Demote error to warning about multiple discontinuties (bug #41386).
Rik <rik@octave.org>
parents: 18417
diff changeset
660 %!warning <multiple discontinuities> interp1 ([1 1 1 2], [1 2 3 4], 1);
18417
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
661 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "pchip")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
662 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "cubic")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18415
diff changeset
663 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "spline")
18606
0ede4dbb37f1 Overhaul interp1, interp2, interp3 functions.
Rik <rik@octave.org>
parents: 18418
diff changeset
664 %!error <invalid method 'bogus'> interp1 (1:2,1:2,1, "bogus")
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
665