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maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
parents e81ddf9cacd5
children 11949c9795a0 4d917a6a858b
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14138
72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 2000-2012 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{pp} =} interp1 (@dots{}, 'pp')
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26 ##
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27 ## One-dimensional interpolation. Interpolate @var{y}, defined at the
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28 ## points @var{x}, at the points @var{xi}. The sample points @var{x}
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29 ## must be monotonic. If not specified, @var{x} is taken to be the
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30 ## indices of @var{y}. If @var{y} is an array, treat the columns
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31 ## of @var{y} separately.
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32 ##
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33 ## Method is one of:
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34 ##
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35 ## @table @asis
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36 ## @item 'nearest'
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37 ## Return the nearest neighbor.
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38 ##
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39 ## @item 'linear'
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40 ## Linear interpolation from nearest neighbors
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41 ##
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42 ## @item 'pchip'
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43 ## Piecewise cubic Hermite interpolating polynomial
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44 ##
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45 ## @item 'cubic'
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46 ## Cubic interpolation (same as @code{pchip})
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47 ##
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48 ## @item 'spline'
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49 ## Cubic spline interpolation---smooth first and second derivatives
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50 ## throughout the curve
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51 ## @end table
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52 ##
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53 ## Appending '*' to the start of the above method forces @code{interp1}
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54 ## to assume that @var{x} is uniformly spaced, and only @code{@var{x}
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55 ## (1)} and @code{@var{x} (2)} are referenced. This is usually faster,
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56 ## and is never slower. The default method is 'linear'.
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57 ##
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58 ## If @var{extrap} is the string 'extrap', then extrapolate values beyond
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59 ## the endpoints. If @var{extrap} is a number, replace values beyond the
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60 ## endpoints with that number. If @var{extrap} is missing, assume NA.
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61 ##
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62 ## If the string argument 'pp' is specified, then @var{xi} should not be
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63 ## supplied and @code{interp1} returns the piecewise polynomial that
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64 ## can later be used with @code{ppval} to evaluate the interpolation.
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65 ## There is an equivalence, such that @code{ppval (interp1 (@var{x},
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66 ## @var{y}, @var{method}, 'pp'), @var{xi}) == interp1 (@var{x}, @var{y},
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67 ## @var{xi}, @var{method}, 'extrap')}.
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68 ##
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69 ## Duplicate points in @var{x} specify a discontinuous interpolant. There
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70 ## should be at most 2 consecutive points with the same value.
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71 ## The discontinuous interpolant is right-continuous if @var{x} is increasing,
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72 ## left-continuous if it is decreasing.
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73 ## Discontinuities are (currently) only allowed for "nearest" and "linear"
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74 ## methods; in all other cases, @var{x} must be strictly monotonic.
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75 ##
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76 ## An example of the use of @code{interp1} is
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77 ##
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78 ## @example
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79 ## @group
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80 ## xf = [0:0.05:10];
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81 ## yf = sin (2*pi*xf/5);
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82 ## xp = [0:10];
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83 ## yp = sin (2*pi*xp/5);
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84 ## lin = interp1 (xp, yp, xf);
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85 ## spl = interp1 (xp, yp, xf, "spline");
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86 ## cub = interp1 (xp, yp, xf, "cubic");
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87 ## near = interp1 (xp, yp, xf, "nearest");
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88 ## plot (xf, yf, "r", xf, lin, "g", xf, spl, "b",
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89 ## xf, cub, "c", xf, near, "m", xp, yp, "r*");
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90 ## legend ("original", "linear", "spline", "cubic", "nearest")
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91 ## @end group
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92 ## @end example
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93 ##
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94 ## @seealso{interpft}
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95 ## @end deftypefn
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96
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97 ## Author: Paul Kienzle
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98 ## Date: 2000-03-25
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99 ## added 'nearest' as suggested by Kai Habel
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100 ## 2000-07-17 Paul Kienzle
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101 ## added '*' methods and matrix y
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102 ## check for proper table lengths
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103 ## 2002-01-23 Paul Kienzle
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104 ## fixed extrapolation
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105
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106 function yi = interp1 (x, y, varargin)
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107
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108 if (nargin < 2 || nargin > 6)
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109 print_usage ();
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110 endif
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111
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112 method = "linear";
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113 extrap = NA;
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114 xi = [];
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115 ispp = false;
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116 firstnumeric = true;
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117
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118 if (nargin > 2)
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119 for i = 1:length (varargin)
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120 arg = varargin{i};
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121 if (ischar (arg))
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122 arg = tolower (arg);
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123 if (strcmp ("extrap", arg))
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124 extrap = "extrap";
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125 elseif (strcmp ("pp", arg))
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126 ispp = true;
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127 else
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128 method = arg;
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129 endif
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130 else
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131 if (firstnumeric)
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132 xi = arg;
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133 firstnumeric = false;
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134 else
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135 extrap = arg;
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136 endif
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137 endif
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138 endfor
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139 endif
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140
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141 if (isempty (xi) && firstnumeric && ! ispp)
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142 xi = y;
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Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
143 y = x;
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
144 x = 1:numel(y);
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
145 endif
c44c786f87ba interp1.m: When absent set X equal to the inices of Y.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
146
5837
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147 ## reshape matrices for convenience
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diff changeset
148 x = x(:);
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diff changeset
149 nx = rows (x);
9769
9a1c4fe44af8 small interp1 simplification
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diff changeset
150 szx = size (xi);
9754
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diff changeset
151 if (isvector (y))
5838
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152 y = y(:);
5837
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153 endif
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diff changeset
154
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jwe
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155 szy = size (y);
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diff changeset
156 y = y(:,:);
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diff changeset
157 [ny, nc] = size (y);
5837
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diff changeset
158 xi = xi(:);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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parents:
diff changeset
159
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
160 ## determine sizes
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
161 if (nx < 2 || ny < 2)
5838
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162 error ("interp1: table too short");
5837
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163 endif
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diff changeset
164
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diff changeset
165 ## check whether x is sorted; sort if not.
9929
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diff changeset
166 if (! issorted (x, "either"))
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diff changeset
167 [x, p] = sort (x);
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diff changeset
168 y = y(p,:);
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169 endif
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170
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diff changeset
171 starmethod = method(1) == "*";
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172
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diff changeset
173 if (starmethod)
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diff changeset
174 dx = x(2) - x(1);
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175 else
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diff changeset
176 jumps = x(1:nx-1) == x(2:nx);
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diff changeset
177 have_jumps = any (jumps);
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diff changeset
178 if (have_jumps)
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diff changeset
179 if (any (strcmp (method, {"nearest", "linear"})))
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parents: 9769
diff changeset
180 if (any (jumps(1:nx-2) & jumps(2:nx-1)))
45c08d7c2c79 allow discontinuous interpolant in interp1
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diff changeset
181 warning ("interp1: extra points in discontinuities");
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parents: 9769
diff changeset
182 endif
45c08d7c2c79 allow discontinuous interpolant in interp1
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parents: 9769
diff changeset
183 else
45c08d7c2c79 allow discontinuous interpolant in interp1
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diff changeset
184 error ("interp1: discontinuities not supported for method %s", method);
45c08d7c2c79 allow discontinuous interpolant in interp1
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parents: 9769
diff changeset
185 endif
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186 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
187 endif
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
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diff changeset
188
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189 ## Proceed with interpolating by all methods.
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190
4219e5cf773d improve interp1 and pchip
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diff changeset
191 switch (method)
4219e5cf773d improve interp1 and pchip
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diff changeset
192 case "nearest"
12608
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diff changeset
193 pp = mkpp ([x(1); (x(1:nx-1)+x(2:nx))/2; x(nx)], shiftdim (y, 1), szy(2:end));
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diff changeset
194 pp.orient = "first";
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diff changeset
195
12608
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diff changeset
196 if (ispp)
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diff changeset
197 yi = pp;
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198 else
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diff changeset
199 yi = ppval (pp, reshape (xi, szx));
5837
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200 endif
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diff changeset
201 case "*nearest"
12608
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diff changeset
202 pp = mkpp ([x(1), x(1)+[0.5:(nx-1)]*dx, x(nx)], shiftdim (y, 1), szy(2:end));
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diff changeset
203 pp.orient = "first";
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diff changeset
204 if (ispp)
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diff changeset
205 yi = pp;
5837
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206 else
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
207 yi = ppval(pp, reshape (xi, szx));
5837
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208 endif
9754
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diff changeset
209 case "linear"
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diff changeset
210 dy = diff (y);
13141
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parents: 12608
diff changeset
211 dx = diff (x);
12608
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diff changeset
212 dx = repmat (dx, [1 size(dy)(2:end)]);
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
213 coefs = [(dy./dx).'(:), y(1:nx-1, :).'(:)];
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parents: 12459
diff changeset
214 xx = x;
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
215
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
216 if (have_jumps)
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parents: 12459
diff changeset
217 ## Omit zero-size intervals.
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diff changeset
218 coefs(jumps, :) = [];
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
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diff changeset
219 xx(jumps) = [];
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
220 endif
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
221
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
222 pp = mkpp (xx, coefs, szy(2:end));
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
223 pp.orient = "first";
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
224
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
225 if (ispp)
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
226 yi = pp;
5837
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jwe
parents:
diff changeset
227 else
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
228 yi = ppval(pp, reshape (xi, szx));
5837
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parents:
diff changeset
229 endif
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
230
9754
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diff changeset
231 case "*linear"
4219e5cf773d improve interp1 and pchip
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diff changeset
232 dy = diff (y);
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
233 coefs = [(dy/dx).'(:), y(1:nx-1, :).'(:)];
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
234 pp = mkpp (x, coefs, szy(2:end));
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
235 pp.orient = "first";
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
236
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
237 if (ispp)
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
238 yi = pp;
5837
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jwe
parents:
diff changeset
239 else
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
240 yi = ppval(pp, reshape (xi, szx));
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
241 endif
5837
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jwe
parents:
diff changeset
242
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
243 case {"pchip", "*pchip", "cubic", "*cubic"}
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11536
diff changeset
244 if (nx == 2 || starmethod)
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
245 x = linspace (x(1), x(nx), ny);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
246 endif
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
247
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
248 if (ispp)
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
249 y = shiftdim (reshape (y, szy), 1);
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
250 yi = pchip (x, y);
9754
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diff changeset
251 else
12608
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diff changeset
252 y = shiftdim (y, 1);
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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diff changeset
253 yi = pchip (x, y, reshape (xi, szx));
9754
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diff changeset
254 endif
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parents: 9070
diff changeset
255 case {"spline", "*spline"}
11587
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John W. Eaton <jwe@octave.org>
parents: 11536
diff changeset
256 if (nx == 2 || starmethod)
c792872f8942 all script files: untabify and strip trailing whitespace
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parents: 11536
diff changeset
257 x = linspace(x(1), x(nx), ny);
5837
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parents:
diff changeset
258 endif
13141
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John W. Eaton <jwe@octave.org>
parents: 12608
diff changeset
259
12608
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diff changeset
260 if (ispp)
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diff changeset
261 y = shiftdim (reshape (y, szy), 1);
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diff changeset
262 yi = spline (x, y);
5837
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jwe
parents:
diff changeset
263 else
12608
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diff changeset
264 y = shiftdim (y, 1);
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diff changeset
265 yi = spline (x, y, reshape (xi, szx));
5837
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diff changeset
266 endif
9754
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diff changeset
267 otherwise
5838
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diff changeset
268 error ("interp1: invalid method '%s'", method);
9754
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diff changeset
269 endswitch
5837
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diff changeset
270
12608
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diff changeset
271 if (! ispp)
9754
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diff changeset
272 if (! ischar (extrap))
4219e5cf773d improve interp1 and pchip
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diff changeset
273 ## determine which values are out of range and set them to extrap,
4219e5cf773d improve interp1 and pchip
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diff changeset
274 ## unless extrap == "extrap".
4219e5cf773d improve interp1 and pchip
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diff changeset
275 minx = min (x(1), x(nx));
4219e5cf773d improve interp1 and pchip
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diff changeset
276 maxx = max (x(1), x(nx));
4219e5cf773d improve interp1 and pchip
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diff changeset
277
4219e5cf773d improve interp1 and pchip
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parents: 9070
diff changeset
278 outliers = xi < minx | ! (xi <= maxx); # this catches even NaNs
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
279 if (size_equal (outliers, yi))
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diff changeset
280 yi(outliers) = extrap;
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diff changeset
281 yi = reshape (yi, szx);
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
282 elseif (!isvector (yi))
59e2460acae1 make piecewise polynomial (pp) functions more compatible
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parents: 12459
diff changeset
283 if (strcmp (method, "pchip") || strcmp (method, "*pchip")
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284 ||strcmp (method, "cubic") || strcmp (method, "*cubic")
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285 ||strcmp (method, "spline") || strcmp (method, "*spline"))
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286 yi(:, outliers) = extrap;
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287 yi = shiftdim(yi, 1);
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288 else
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289 yi(outliers, :) = extrap;
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290 endif
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291 else
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292 yi(outliers.') = extrap;
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293 endif
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294 endif
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295 else
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296 yi.orient = "first";
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297 endif
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298
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299 endfunction
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300
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301 %!demo
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302 %! xf=0:0.05:10; yf = sin(2*pi*xf/5);
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303 %! xp=0:10; yp = sin(2*pi*xp/5);
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304 %! lin=interp1(xp,yp,xf,"linear");
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305 %! spl=interp1(xp,yp,xf,"spline");
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306 %! cub=interp1(xp,yp,xf,"pchip");
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307 %! near=interp1(xp,yp,xf,"nearest");
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308 %! plot(xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*");
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309 %! legend ("original","nearest","linear","pchip","spline")
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310 %! %--------------------------------------------------------
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311 %! % confirm that interpolated function matches the original
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312
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313 %!demo
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314 %! xf=0:0.05:10; yf = sin(2*pi*xf/5);
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315 %! xp=0:10; yp = sin(2*pi*xp/5);
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316 %! lin=interp1(xp,yp,xf,"*linear");
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317 %! spl=interp1(xp,yp,xf,"*spline");
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318 %! cub=interp1(xp,yp,xf,"*cubic");
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319 %! near=interp1(xp,yp,xf,"*nearest");
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320 %! plot(xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*");
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321 %! legend ("*original","*nearest","*linear","*cubic","*spline")
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322 %! %--------------------------------------------------------
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323 %! % confirm that interpolated function matches the original
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324
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325 %!demo
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326 %! t = 0 : 0.3 : pi; dt = t(2)-t(1);
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327 %! n = length (t); k = 100; dti = dt*n/k;
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328 %! ti = t(1) + [0 : k-1]*dti;
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329 %! y = sin (4*t + 0.3) .* cos (3*t - 0.1);
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330 %! ddyc = diff(diff(interp1(t,y,ti,'cubic'))./dti)./dti;
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331 %! ddys = diff(diff(interp1(t,y,ti,'spline'))./dti)./dti;
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332 %! ddyp = diff(diff(interp1(t,y,ti,'pchip'))./dti)./dti;
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333 %! plot (ti(2:end-1), ddyc,'g+',ti(2:end-1),ddys,'b*', ...
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334 %! ti(2:end-1),ddyp,'c^');
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335 %! legend('cubic','spline','pchip');
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336 %! title("Second derivative of interpolated 'sin (4*t + 0.3) .* cos (3*t - 0.1)'");
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337
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338 %!demo
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339 %! xf=0:0.05:10; yf = sin(2*pi*xf/5) - (xf >= 5);
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340 %! xp=[0:.5:4.5,4.99,5:.5:10]; yp = sin(2*pi*xp/5) - (xp >= 5);
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341 %! lin=interp1(xp,yp,xf,"linear");
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342 %! near=interp1(xp,yp,xf,"nearest");
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343 %! plot(xf,yf,"r",xf,near,"g",xf,lin,"b",xp,yp,"r*");
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344 %! legend ("original","nearest","linear")
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345 %! %--------------------------------------------------------
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346 %! % confirm that interpolated function matches the original
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347
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348 ##FIXME: add test for n-d arguments here
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349
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350 ## For each type of interpolated test, confirm that the interpolated
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351 ## value at the knots match the values at the knots. Points away
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352 ## from the knots are requested, but only 'nearest' and 'linear'
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353 ## confirm they are the correct values.
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354
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355 %!shared xp, yp, xi, style
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356 %! xp=0:2:10; yp = sin(2*pi*xp/5);
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357 %! xi = [-1, 0, 2.2, 4, 6.6, 10, 11];
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358
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359
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360 ## The following BLOCK/ENDBLOCK section is repeated for each style
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361 ## nearest, linear, cubic, spline, pchip
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362 ## The test for ppval of cubic has looser tolerance, but otherwise
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363 ## the tests are identical.
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364 ## Note that the block checks style and *style; if you add more tests
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365 ## before to add them to both sections of each block. One test,
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366 ## style vs. *style, occurs only in the first section.
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367 ## There is an ENDBLOCKTEST after the final block
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368 %!test style = "nearest";
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369 ## BLOCK
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370 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
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371 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
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372 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
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373 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
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374 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
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375 %!assert (isempty(interp1(xp',yp',[],style)));
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376 %!assert (isempty(interp1(xp,yp,[],style)));
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377 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
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378 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
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379 %!assert (interp1(xp,yp,xi,style),...
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380 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
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381 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
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382 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
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383 %!error interp1(1,1,1, style);
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384 %!assert (interp1(xp,[yp',yp'],xi,style),
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385 %! interp1(xp,[yp',yp'],xi,["*",style]),100*eps);
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386 %!test style=['*',style];
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387 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
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388 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
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389 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
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390 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
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391 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
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392 %!assert (isempty(interp1(xp',yp',[],style)));
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393 %!assert (isempty(interp1(xp,yp,[],style)));
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394 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
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395 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
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396 %!assert (interp1(xp,yp,xi,style),...
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397 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
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398 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
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399 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
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400 %!error interp1(1,1,1, style);
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401 ## ENDBLOCK
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402 %!test style='linear';
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403 ## BLOCK
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404 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
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405 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
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406 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
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407 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
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408 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
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409 %!assert (isempty(interp1(xp',yp',[],style)));
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410 %!assert (isempty(interp1(xp,yp,[],style)));
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411 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
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412 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
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413 %!assert (interp1(xp,yp,xi,style),...
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95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
414 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
415 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
416 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
417 %!error interp1(1,1,1, style);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
418 %!assert (interp1(xp,[yp',yp'],xi,style),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
419 %! interp1(xp,[yp',yp'],xi,["*",style]),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
420 %!test style=['*',style];
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
421 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
422 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
423 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
424 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
425 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
426 %!assert (isempty(interp1(xp',yp',[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
427 %!assert (isempty(interp1(xp,yp,[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
428 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
429 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
430 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
431 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
432 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
433 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
434 %!error interp1(1,1,1, style);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
435 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
436 %!test style='cubic';
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
437 ## BLOCK
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
438 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
439 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
440 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
441 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
442 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
443 %!assert (isempty(interp1(xp',yp',[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
444 %!assert (isempty(interp1(xp,yp,[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
445 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
446 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
447 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
448 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
449 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
450 %! interp1(xp,yp,xi,style,"extrap"),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
451 %!error interp1(1,1,1, style);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
452 %!assert (interp1(xp,[yp',yp'],xi,style),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
453 %! interp1(xp,[yp',yp'],xi,["*",style]),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
454 %!test style=['*',style];
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
455 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
456 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
457 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
458 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
459 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
460 %!assert (isempty(interp1(xp',yp',[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
461 %!assert (isempty(interp1(xp,yp,[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
462 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
463 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
464 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
465 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
466 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
467 %! interp1(xp,yp,xi,style,"extrap"),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
468 %!error interp1(1,1,1, style);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
469 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
470 %!test style='pchip';
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
471 ## BLOCK
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
472 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
473 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
474 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
475 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
476 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
477 %!assert (isempty(interp1(xp',yp',[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
478 %!assert (isempty(interp1(xp,yp,[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
479 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
480 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
481 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
482 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
483 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
484 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
485 %!error interp1(1,1,1, style);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
486 %!assert (interp1(xp,[yp',yp'],xi,style),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
487 %! interp1(xp,[yp',yp'],xi,["*",style]),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
488 %!test style=['*',style];
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
489 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
490 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
491 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
492 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
493 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
494 %!assert (isempty(interp1(xp',yp',[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
495 %!assert (isempty(interp1(xp,yp,[],style)));
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
496 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
497 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
498 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
499 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
500 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
501 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
502 %!error interp1(1,1,1, style);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
503 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
504 %!test style='spline';
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
505 ## BLOCK
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
506 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
507 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
508 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
509 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
510 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
511 %!assert (isempty(interp1(xp',yp',[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
512 %!assert (isempty(interp1(xp,yp,[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
513 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
514 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
515 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
516 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
517 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
518 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
519 %!error interp1(1,1,1, style);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
520 %!assert (interp1(xp,[yp',yp'],xi,style),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
521 %! interp1(xp,[yp',yp'],xi,["*",style]),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
522 %!test style=['*',style];
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
523 %!assert (interp1(xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
524 %!assert (interp1(xp,yp,xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
525 %!assert (interp1(xp,yp,xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
526 %!assert (interp1(xp',yp',xp',style), yp', 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
527 %!assert (interp1(xp',yp',xp,style), yp, 100*eps);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
528 %!assert (isempty(interp1(xp',yp',[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
529 %!assert (isempty(interp1(xp,yp,[],style)));
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
530 %!assert (interp1(xp,[yp',yp'],xi(:),style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
531 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
532 %!assert (interp1(xp,yp,xi,style),...
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
533 %! interp1(fliplr(xp),fliplr(yp),xi,style),100*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
534 %!assert (ppval(interp1(xp,yp,style,"pp"),xi),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 9929
diff changeset
535 %! interp1(xp,yp,xi,style,"extrap"),10*eps);
6374
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
536 %!error interp1(1,1,1, style);
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
537 ## ENDBLOCK
419017274c1e [project @ 2007-03-01 15:57:50 by jwe]
jwe
parents: 6366
diff changeset
538 ## ENDBLOCKTEST
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
539
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
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540 %!# test linear extrapolation
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
541 %!assert (interp1([1:5],[3:2:11],[0,6],"linear","extrap"), [1, 13], eps);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
542 %!assert (interp1(xp, yp, [-1, max(xp)+1],"linear",5), [5, 5]);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
543
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
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544 %!error interp1
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
545 %!error interp1(1:2,1:2,1,"bogus")
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
546
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
547 %!assert (interp1(1:2,1:2,1.4,"nearest"),1);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
548 %!error interp1(1,1,1, "linear");
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
549 %!assert (interp1(1:2,1:2,1.4,"linear"),1.4);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
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550 %!assert (interp1(1:4,1:4,1.4,"cubic"),1.4);
12459
b3f9f98e7640 Fix interp1 tests according to spline update of 07e102029d2a
Thorsten Meyer <thorsten.meyier@gmx.de>
parents: 12175
diff changeset
551 %!assert (interp1(1:2,1:2,1.1, "spline"), 1.1);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
552 %!assert (interp1(1:3,1:3,1.4,"spline"),1.4);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
553
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
554 %!error interp1(1,1,1, "*nearest");
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
555 %!assert (interp1(1:2:4,1:2:4,1.4,"*nearest"),1);
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
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556 %!error interp1(1,1,1, "*linear");
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6721
diff changeset
557 %!assert (interp1(1:2:4,1:2:4,[0,1,1.4,3,4],"*linear"),[NA,1,1.4,3,NA]);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
558 %!assert (interp1(1:2:8,1:2:8,1.4,"*cubic"),1.4);
12459
b3f9f98e7640 Fix interp1 tests according to spline update of 07e102029d2a
Thorsten Meyer <thorsten.meyier@gmx.de>
parents: 12175
diff changeset
559 %!assert (interp1(1:2,1:2,1.3, "*spline"), 1.3);
5837
55404f3b0da1 [project @ 2006-06-01 19:05:31 by jwe]
jwe
parents:
diff changeset
560 %!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
561
4fbaba9abec1 implement compiled binary lookup
Jaroslav Hajek <highegg@gmail.com>
parents: 7017
diff changeset
562 %!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
563
45c08d7c2c79 allow discontinuous interpolant in interp1
Jaroslav Hajek <highegg@gmail.com>
parents: 9769
diff changeset
564 %!assert (interp1 ([1,2,2,3,4],[0,1,4,2,1],[-1,1.5,2,2.5,3.5], "linear", "extrap"), [-2,0.5,4,3,1.5])
12608
59e2460acae1 make piecewise polynomial (pp) functions more compatible
Kai Habel <kai.habel@gmx.de>
parents: 12459
diff changeset
565 %!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
566 %!assert (interp1 (0:4, 2.5), 1.5)