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annotate scripts/general/interp1.m @ 18486:1ad77b3e6bef stable

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interp1.m: Demote error to warning about multiple discontinuties (bug #41386). * interp1.m: Demote error to warning about multiple discontinuties (bug #41386). Add %!warning test for new behavior.
author Rik <rik@octave.org>
date Fri, 31 Jan 2014 21:08:15 -0800
parents 71d1a1450365
children 0ede4dbb37f1 5fe907167520
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rev   line source
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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 ## If @var{y} is a matrix or an N-dimensional array, the interpolation is
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34 ## performed on each column of @var{y}.
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35 ##
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36 ## 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"}
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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
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47 ##
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48 ## @item @qcode{"cubic"}
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49 ## Cubic interpolation (same as @code{pchip})
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50 ##
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51 ## @item @qcode{"spline"}
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52 ## Cubic spline interpolation---smooth first and second derivatives
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53 ## throughout the curve
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54 ## @end table
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55 ##
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56 ## Adding '*' to the start of any method above forces @code{interp1}
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57 ## to assume that @var{x} is uniformly spaced, and only @code{@var{x}(1)}
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58 ## and @code{@var{x}(2)} are referenced. This is usually faster,
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59 ## and is never slower. The default method is @qcode{"linear"}.
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60 ##
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61 ## If @var{extrap} is the string @qcode{"extrap"}, then extrapolate values
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62 ## beyond the endpoints using the current @var{method}. If @var{extrap} is a
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63 ## number, then replace values beyond the endpoints with that number. When
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64 ## unspecified, @var{extrap} defaults to NA.
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65 ##
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66 ## If the string argument @qcode{"pp"} is specified, then @var{xi} should not
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67 ## be supplied and @code{interp1} returns a piecewise polynomial object. This
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68 ## object can later be used with @code{ppval} to evaluate the interpolation.
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69 ## There is an equivalence, such that @code{ppval (interp1 (@var{x},
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70 ## @var{y}, @var{method}, @qcode{"pp"}), @var{xi}) == interp1 (@var{x}, @var{y},
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71 ## @var{xi}, @var{method}, @qcode{"extrap"})}.
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72 ##
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73 ## Duplicate points in @var{x} specify a discontinuous interpolant. There
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74 ## may be at most 2 consecutive points with the same value.
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75 ## If @var{x} is increasing, the default discontinuous interpolant is
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76 ## right-continuous. If @var{x} is decreasing, the default discontinuous
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77 ## interpolant is left-continuous.
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78 ## The continuity condition of the interpolant may be specified by using
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79 ## the options, @qcode{"left"} or @qcode{"right"}, to select a left-continuous
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80 ## or right-continuous interpolant, respectively.
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81 ## Discontinuous interpolation is only allowed for @qcode{"nearest"} and
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82 ## @qcode{"linear"} methods; in all other cases, the @var{x}-values must be
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83 ## unique.
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84 ##
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85 ## An example of the use of @code{interp1} is
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86 ##
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87 ## @example
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88 ## @group
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89 ## xf = [0:0.05:10];
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90 ## yf = sin (2*pi*xf/5);
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91 ## xp = [0:10];
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92 ## yp = sin (2*pi*xp/5);
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93 ## lin = interp1 (xp, yp, xf);
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94 ## spl = interp1 (xp, yp, xf, "spline");
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95 ## cub = interp1 (xp, yp, xf, "cubic");
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96 ## near = interp1 (xp, yp, xf, "nearest");
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97 ## plot (xf, yf, "r", xf, lin, "g", xf, spl, "b",
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98 ## xf, cub, "c", xf, near, "m", xp, yp, "r*");
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99 ## legend ("original", "linear", "spline", "cubic", "nearest");
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100 ## @end group
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101 ## @end example
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102 ##
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103 ## @seealso{interpft, interp2, interp3, interpn}
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104 ## @end deftypefn
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105
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106 ## Author: Paul Kienzle
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107 ## Date: 2000-03-25
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108 ## added 'nearest' as suggested by Kai Habel
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109 ## 2000-07-17 Paul Kienzle
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110 ## added '*' methods and matrix y
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111 ## check for proper table lengths
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112 ## 2002-01-23 Paul Kienzle
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113 ## fixed extrapolation
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114
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115 function yi = interp1 (x, y, varargin)
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116
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117 if (nargin < 2 || nargin > 6)
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118 print_usage ();
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119 endif
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120
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121 method = "linear";
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122 extrap = NA;
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123 xi = [];
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124 ispp = false;
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125 firstnumeric = true;
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126 rightcontinuous = NaN;
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127
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128 if (nargin > 2)
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129 for i = 1:length (varargin)
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130 arg = varargin{i};
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131 if (ischar (arg))
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132 arg = tolower (arg);
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133 if (strcmp ("extrap", arg))
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134 extrap = "extrap";
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135 elseif (strcmp ("pp", arg))
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136 ispp = true;
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71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
137 elseif (strcmp (arg, "right") || strcmp (arg, "-right"))
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
138 rightcontinuous = true;
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
139 elseif (strcmp (arg, "left") || strcmp (arg, "-left"))
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
140 rightcontinuous = false;
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
141 else
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
142 method = arg;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
143 endif
5837
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jwe
parents:
diff changeset
144 else
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
145 if (firstnumeric)
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
146 xi = arg;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
147 firstnumeric = false;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
148 else
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
149 extrap = arg;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
150 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
151 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
152 endfor
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
153 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
154
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
155 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
156 xi = y;
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
157 y = x;
17088
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
158 if (isvector (y))
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
159 x = 1:numel (y);
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
160 else
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
161 x = 1:rows (y);
c8586e6fc60d interp1.m: Fix interpolation on ND-arrays (bug #35860)
Mike Miller <mtmiller@ieee.org>
parents: 17087
diff changeset
162 endif
10820
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
163 endif
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
164
5837
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jwe
parents:
diff changeset
165 ## reshape matrices for convenience
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
166 x = x(:);
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
167 nx = rows (x);
9769
9a1c4fe44af8 small interp1 simplification
Jaroslav Hajek <highegg@gmail.com>
parents: 9754
diff changeset
168 szx = size (xi);
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
169 if (isvector (y))
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
170 y = y(:);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
171 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
172
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
173 szy = size (y);
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
174 y = y(:,:);
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
175 [ny, nc] = size (y);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
176 xi = xi(:);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
177
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
178 ## determine sizes
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
179 if (nx < 2 || ny < 2)
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
180 error ("interp1: table too short");
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
181 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
182
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
183 ## check whether x is sorted; sort if not.
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
184 if (! issorted (x, "either"))
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
185 [x, p] = sort (x);
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
186 y = y(p,:);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
187 endif
5838
376e02b2ce70 [project @ 2006-06-01 20:23:53 by jwe]
jwe
parents: 5837
diff changeset
188
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
189 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
190 ## 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
191 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
192 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
193 else
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 = true;
17306
09543e9c8f40 Use explicit form of end (endif, endfor, etc.) in core m-files.
Rik <rik@octave.org>
parents: 17281
diff changeset
195 endif
15193
2d5e4d283688 Modified interp1.m file to check whether X has distinct values or not.
Vivek Dogra <vivek.dogra.iitd@gmail.com>
parents: 14868
diff changeset
196 endif
2d5e4d283688 Modified interp1.m file to check whether X has distinct values or not.
Vivek Dogra <vivek.dogra.iitd@gmail.com>
parents: 14868
diff changeset
197
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
198 if ((rightcontinuous && (x(end) < x(1)))
17307
4448cc742880 Use '!' not operator rather than '~' in core m-files.
Rik <rik@octave.org>
parents: 17306
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)
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
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)))
18486
1ad77b3e6bef interp1.m: Demote error to warning about multiple discontinuties (bug #41386).
Rik <rik@octave.org>
parents: 18485
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
15468
6437fa7263dd use ' instead of ` in error messages, warnings and most comments
John W. Eaton <jwe@octave.org>
parents: 15218
diff changeset
218 error ("interp1: discontinuities not supported for method '%s'", method);
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
219 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
220 endif
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
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
223 ## Proceed with interpolating by all methods.
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
224 switch (method)
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
225
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
226 case "nearest"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
227 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
228 shiftdim (y, 1), szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
229 pp.orient = "first";
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
230
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
231 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
232 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
233 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
234 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
235 endif
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
236
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
237 case "*nearest"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
238 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
239 shiftdim (y, 1), szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
240 pp.orient = "first";
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
241 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
242 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
243 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
244 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
245 endif
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
246
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
247 case "linear"
18483
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
248
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
249 xx = x;
18483
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
250 yy = y;
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
251 nxx = nx;
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
252 if (have_jumps)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
253 ## Omit zero-size intervals.
18483
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
254 yy(jumps, :) = [];
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
255 xx(jumps) = [];
18483
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
256 nxx = rows (xx);
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
257 endif
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
258
18483
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
259 dy = diff (yy);
b06675ef40f2 interp1.m: Fix handling multi-column y-input with jumps (bug #40825).
Juan Pablo Carbajal <ajuanpi+dev@gmail.com>
parents: 17744
diff changeset
260 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
261 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
262
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 coefs = [(dy./dx).'(:), yy(1:nxx-1, :).'(:)];
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
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
265 pp = mkpp (xx, coefs, szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
266 pp.orient = "first";
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
267
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
268 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
269 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
270 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
271 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
272 endif
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
273
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
274 case "*linear"
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
275 dy = diff (y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
276 coefs = [(dy/dx).'(:), y(1:nx-1, :).'(:)];
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
277 pp = mkpp (x, coefs, szy(2:end));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
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diff changeset
278 pp.orient = "first";
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
279
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
280 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
281 yi = pp;
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
282 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
283 yi = ppval (pp, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
284 endif
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diff changeset
285
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
286 case {"pchip", "*pchip", "cubic", "*cubic"}
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
287 if (nx == 2 || starmethod)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
288 x = linspace (x(1), x(nx), ny);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
289 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
290
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
291 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
292 y = shiftdim (reshape (y, szy), 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
293 yi = pchip (x, y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
294 yi.orient = "first";
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
295 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
296 y = shiftdim (y, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
297 yi = pchip (x, y, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
298 if (! isvector (y))
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
299 yi = shiftdim (yi, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
300 endif
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
301 endif
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
302
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
303 case {"spline", "*spline"}
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
304 if (nx == 2 || starmethod)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
305 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
306 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
307
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
308 if (ispp)
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
309 y = shiftdim (reshape (y, szy), 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
310 yi = spline (x, y);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
311 yi.orient = "first";
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
312 else
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
313 y = shiftdim (y, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
314 yi = spline (x, y, reshape (xi, szx));
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
315 if (! isvector (y))
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
316 yi = shiftdim (yi, 1);
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
317 endif
14492
7ce925166af6 Fix inconsistent orientation of output matrix for interp1.
Olaf Till <i7tiol@t-online.de>
parents: 14363
diff changeset
318 endif
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
319
17174
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
320 otherwise
c3c1ebfaa7dc maint: Use common indentation for switch statement.
Rik <rik@octave.org>
parents: 17088
diff changeset
321 error ("interp1: invalid method '%s'", method);
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
322
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
323 endswitch
5837
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jwe
parents:
diff changeset
324
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
325 if (! ispp && ! ischar (extrap))
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
326 ## determine which values are out of range and set them to extrap,
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
327 ## unless extrap == "extrap".
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
328 minx = min (x(1), x(nx));
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
329 maxx = max (x(1), x(nx));
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
330
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
331 outliers = xi < minx | ! (xi <= maxx); # this even catches NaNs
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
332 if (size_equal (outliers, yi))
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
333 yi(outliers) = extrap;
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
334 yi = reshape (yi, szx);
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
335 elseif (! isvector (yi))
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
336 yi(outliers, :) = extrap;
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
337 else
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
338 yi(outliers.') = extrap;
9754
4219e5cf773d improve interp1 and pchip
Jaroslav Hajek <highegg@gmail.com>
parents: 9070
diff changeset
339 endif
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
340 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
341
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
342 endfunction
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
343
14237
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Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
344
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
345 %!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
346 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
347 %! 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
348 %! xp = 0:10; yp = sin (2*pi*xp/5);
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
349 %! lin = interp1 (xp,yp,xf, "linear");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
350 %! spl = interp1 (xp,yp,xf, "spline");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
351 %! cub = interp1 (xp,yp,xf, "pchip");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
352 %! near= interp1 (xp,yp,xf, "nearest");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
353 %! plot (xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
354 %! legend ("original", "nearest", "linear", "pchip", "spline");
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
355 %! %--------------------------------------------------------
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
356 %! % confirm that interpolated function matches the original
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
357
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
358 %!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
359 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
360 %! 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
361 %! xp = 0:10; yp = sin (2*pi*xp/5);
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 %! lin = interp1 (xp,yp,xf, "*linear");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
363 %! spl = interp1 (xp,yp,xf, "*spline");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
364 %! cub = interp1 (xp,yp,xf, "*cubic");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
365 %! near= interp1 (xp,yp,xf, "*nearest");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
366 %! plot (xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
367 %! legend ("*original", "*nearest", "*linear", "*cubic", "*spline");
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
368 %! %--------------------------------------------------------
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
369 %! % confirm that interpolated function matches the original
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
370
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
371 %!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
372 %! clf;
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
373 %! 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
374 %! n = length (t); k = 100; dti = dt*n/k;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
375 %! ti = t(1) + [0 : k-1]*dti;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
376 %! y = sin (4*t + 0.3) .* cos (3*t - 0.1);
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
377 %! ddyc = diff (diff (interp1 (t,y,ti, "cubic")) ./dti)./dti;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
378 %! ddys = diff (diff (interp1 (t,y,ti, "spline"))./dti)./dti;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
379 %! ddyp = diff (diff (interp1 (t,y,ti, "pchip")) ./dti)./dti;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
380 %! plot (ti(2:end-1),ddyc,'g+', ti(2:end-1),ddys,'b*', ti(2:end-1),ddyp,'c^');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
381 %! legend ("cubic", "spline", "pchip");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
382 %! title ("Second derivative of interpolated 'sin (4*t + 0.3) .* cos (3*t - 0.1)'");
6721
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
diff changeset
383
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
384 %!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
385 %! clf;
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
386 %! 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
387 %! xp = [0:.5:4.5,4.99,5:.5:10]; yp = sin (2*pi*xp/5) - (xp >= 5);
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
388 %! lin = interp1 (xp,yp,xf, "linear");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
389 %! near= interp1 (xp,yp,xf, "nearest");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
390 %! plot (xf,yf,"r", xf,near,"g", xf,lin,"b", xp,yp,"r*");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
391 %! legend ("original", "nearest", "linear");
9929
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
392 %! %--------------------------------------------------------
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
393 %! % confirm that interpolated function matches the original
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
394
15218
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
395 %!demo
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
396 %! clf;
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
397 %! x = 0:0.5:3;
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
398 %! x1 = [3 2 2 1];
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
399 %! x2 = [1 2 2 3];
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
400 %! y1 = [1 1 0 0];
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
401 %! y2 = [0 0 1 1];
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
402 %! h = plot (x, interp1 (x1, y1, x), 'b', x1, y1, 'sb');
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
403 %! hold on
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
Ben Abbott <bpabbott@mac.com>
parents: 15193
diff changeset
404 %! g = plot (x, interp1 (x2, y2, x), 'r', x2, y2, '*r');
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
405 %! axis ([0.5 3.5 -0.5 1.5])
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
406 %! legend ([h(1), g(1)], {'left-continuous', 'right-continuous'}, ...
71d1a1450365 interp1.m: Clean up function
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407 %! 'location', 'northwest')
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408 %! legend boxoff
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409 %! %--------------------------------------------------------
18485
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diff changeset
410 %! % red curve is left-continuous and blue is right-continuous at x = 2
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parents: 15193
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411
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Kai Habel <kai.habel@gmx.de>
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diff changeset
412 ##FIXME: add test for n-d arguments here
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413
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414 ## For each type of interpolated test, confirm that the interpolated
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415 ## value at the knots match the values at the knots. Points away
14359
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416 ## from the knots are requested, but only "nearest" and "linear"
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417 ## confirm they are the correct values.
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418
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419 %!shared xp, yp, xi, style
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420 %! xp = 0:2:10;
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421 %! yp = sin (2*pi*xp/5);
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422 %! xi = [-1, 0, 2.2, 4, 6.6, 10, 11];
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423
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
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424 ## The following BLOCK/ENDBLOCK section is repeated for each style
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
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425 ## nearest, linear, cubic, spline, pchip
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
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426 ## The test for ppval of cubic has looser tolerance, but otherwise
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
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427 ## the tests are identical.
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
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diff changeset
428 ## Note that the block checks style and *style; if you add more tests
14237
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429 ## be sure to add them to both sections of each block. One test,
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430 ## style vs. *style, occurs only in the first section.
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431 ## There is an ENDBLOCKTEST after the final block
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432
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433 %!test style = "nearest";
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434 ## BLOCK
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435 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
436 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
437 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
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parents: 14359
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438 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
439 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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440 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
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441 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
442 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
443 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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444 %!assert (interp1 (xp,yp,xi,style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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445 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
446 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
447 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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448 %!error interp1 (1,1,1, style)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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449 %!assert (interp1 (xp,[yp',yp'],xi,style),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
450 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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451 %!test style = ["*",style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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452 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
453 %!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
454 %!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
455 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
456 %!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
457 %!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
458 %!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
459 %!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
460 %! [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
461 %!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
462 %! 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
463 %!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
464 %! 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
465 %!error interp1 (1,1,1, style)
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466 ## ENDBLOCK
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diff changeset
467
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468 %!test style = "linear";
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469 ## BLOCK
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470 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
471 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
472 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
473 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
474 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
475 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
476 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
477 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
478 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
479 %!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
480 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
481 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
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parents: 14359
diff changeset
482 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
483 %!error interp1 (1,1,1, style)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
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484 %!assert (interp1 (xp,[yp',yp'],xi,style),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
485 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
486 %!test style = ['*',style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
487 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
488 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
489 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
490 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
491 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
492 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
493 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
494 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
495 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
496 %!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
497 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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diff changeset
498 %!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
499 %! interp1 (xp,yp,xi,style,"extrap"),10*eps)
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500 %!assert (interp1 ([1 2 2 3], [1 2 3 4], 2), 3);
94d512d712e3 Modified interp1.m file to check whether X has distinct values or not.
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parents: 15193
diff changeset
501 %!assert (interp1 ([3 2 2 1], [4 3 2 1], 2), 2);
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diff changeset
502 %!error interp1 (1,1,1, style)
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503 ## ENDBLOCK
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diff changeset
504
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505 %!test style = "cubic";
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506 ## BLOCK
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diff changeset
507 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
508 %!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
509 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
510 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
511 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps)
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
512 %!assert (isempty (interp1 (xp',yp',[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
513 %!assert (isempty (interp1 (xp,yp,[],style)))
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
514 %!assert (interp1 (xp,[yp',yp'],xi(:),style),...
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
515 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)])
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
516 %!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
517 %! 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
518 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi),
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
519 %! 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
520 %!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
521 %!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
522 %! 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
523 %!test style = ["*",style];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
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)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
538 ## 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
539
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
540 %!test style = "pchip";
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
541 ## BLOCK
14363
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, [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
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 (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
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 (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
549 %!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
550 %! [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
551 %!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
552 %! 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
553 %!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
554 %! 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
555 %!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
556 %!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
557 %! 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
558 %!test style = ["*",style];
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)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
573 ## 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
574
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
575 %!test style = "spline";
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
576 ## BLOCK
14363
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, [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
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 (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
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 (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
584 %!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
585 %! [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
586 %!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
587 %! 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
588 %!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
589 %! 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
590 %!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
591 %!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
592 %! 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
593 %!test style = ["*",style];
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)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
608 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
609 ## ENDBLOCKTEST
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
610
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
611 ## test extrapolation (linear)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
612 %!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
613 %!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
614
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
615 ## Basic sanity checks
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
616 %!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
617 %!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
618 %!assert (interp1 (1:4,1:4,1.4,"cubic"), 1.4)
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
619 %!assert (interp1 (1:2,1:2,1.1,"spline"), 1.1)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
620 %!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
621
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
622 %!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
623 %!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
624 %!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
625 %!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
626 %!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
627
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
628 %!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
629
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
630 %!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
631 %!assert (interp1 (0:4, 2.5), 1.5)
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
632
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
633 ## Left and Right discontinuities
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
634 %!assert (interp1 ([1,2,2,3,4],[0,1,4,2,1],[-1,1.5,2,2.5,3.5], "linear", "extrap", "right"), [-8,2,4,3,1.5])
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
635 %!assert (interp1 ([1,2,2,3,4],[0,1,4,2,1],[-1,1.5,2,2.5,3.5], "linear", "extrap", "left"), [-2,0.5,1,1.5,1.5])
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
636
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
637 %% Test input validation
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
638 %!error interp1 ()
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
639 %!error interp1 (1,2,3,4,5,6,7)
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
640 %!error <table too short> interp1 (1,1,1, "linear")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
641 %!error <table too short> interp1 (1,1,1, "*nearest")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
642 %!error <table too short> interp1 (1,1,1, "*linear")
18486
1ad77b3e6bef interp1.m: Demote error to warning about multiple discontinuties (bug #41386).
Rik <rik@octave.org>
parents: 18485
diff changeset
643 %!warning <multiple discontinuities> interp1 ([1 1 1 2], [1 2 3 4], 1);
18485
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
644 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "pchip")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
645 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "cubic")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
646 %!error <discontinuities not supported> interp1 ([1 1],[1 2],1, "spline")
71d1a1450365 interp1.m: Clean up function
Rik <rik@octave.org>
parents: 18483
diff changeset
647 %!error <invalid method> 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
648