Mercurial > octave-nkf
annotate scripts/general/interp1.m @ 17744:d63878346099
maint: Update copyright notices for release.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 23 Oct 2013 22:09:27 -0400 |
parents | 4448cc742880 |
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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 |
5837 | 3 ## |
4 ## This file is part of Octave. | |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
5837 | 10 ## |
11 ## Octave is distributed in the hope that it will be useful, but | |
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 ## General Public License for more details. | |
15 ## | |
16 ## You should have received a copy of the GNU General Public License | |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
5837 | 19 |
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}) |
5837 | 23 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, @var{method}) |
24 ## @deftypefnx {Function File} {@var{yi} =} interp1 (@dots{}, @var{extrap}) | |
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25 ## @deftypefnx {Function File} {@var{pp} =} interp1 (@dots{}, "pp") |
5837 | 26 ## |
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27 ## One-dimensional interpolation. Interpolates to determine the value of |
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28 ## @var{yi} at the points, @var{xi}. If not specified, @var{x} is taken |
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29 ## to be the indices of @var{y}. If @var{y} is a matrix or an N-dimensional |
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30 ## array, the interpolation is performed on each column of @var{y}. |
5837 | 31 ## |
32 ## Method is one of: | |
33 ## | |
34 ## @table @asis | |
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35 ## @item @qcode{"nearest"} |
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36 ## Return the nearest neighbor. |
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37 ## |
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38 ## @item @qcode{"linear"} |
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39 ## Linear interpolation from nearest neighbors |
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40 ## |
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41 ## @item @qcode{"pchip"} |
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42 ## Piecewise cubic Hermite interpolating polynomial |
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43 ## |
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44 ## @item @qcode{"cubic"} |
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45 ## Cubic interpolation (same as @code{pchip}) |
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46 ## |
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47 ## @item @qcode{"spline"} |
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48 ## Cubic spline interpolation---smooth first and second derivatives |
5837 | 49 ## throughout the curve |
50 ## @end table | |
51 ## | |
52 ## Appending '*' to the start of the above method forces @code{interp1} | |
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53 ## to assume that @var{x} is uniformly spaced, and only @code{@var{x}(1)} |
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54 ## and @code{@var{x}(2)} are referenced. This is usually faster, |
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55 ## and is never slower. The default method is @qcode{"linear"}. |
5837 | 56 ## |
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57 ## If @var{extrap} is the string @qcode{"extrap"}, then extrapolate values |
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58 ## beyond the endpoints. If @var{extrap} is a number, replace values beyond |
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59 ## the endpoints with that number. If @var{extrap} is missing, assume NA. |
5837 | 60 ## |
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61 ## If the string argument @qcode{"pp"} is specified, then @var{xi} should not be |
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62 ## supplied and @code{interp1} returns the piecewise polynomial that |
5837 | 63 ## can later be used with @code{ppval} to evaluate the interpolation. |
64 ## There is an equivalence, such that @code{ppval (interp1 (@var{x}, | |
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65 ## @var{y}, @var{method}, @qcode{"pp"}), @var{xi}) == interp1 (@var{x}, @var{y}, |
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66 ## @var{xi}, @var{method}, @qcode{"extrap"})}. |
5837 | 67 ## |
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68 ## Duplicate points in @var{x} specify a discontinuous interpolant. There |
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69 ## may be at most 2 consecutive points with the same value. |
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70 ## If @var{x} is increasing, the default discontinuous interpolant is |
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71 ## right-continuous. If @var{x} is decreasing, the default discontinuous |
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72 ## interpolant is left-continuous. |
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73 ## The continuity condition of the interpolant may be specified by using |
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74 ## the options, @qcode{"-left"} or @qcode{"-right"}, to select a left-continuous |
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75 ## or right-continuous interpolant, respectively. |
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76 ## Discontinuous interpolation is only allowed for @qcode{"nearest"} and |
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77 ## @qcode{"linear"} methods; in all other cases, the @var{x}-values must be |
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78 ## unique. |
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79 ## |
5837 | 80 ## An example of the use of @code{interp1} is |
81 ## | |
82 ## @example | |
83 ## @group | |
8507 | 84 ## xf = [0:0.05:10]; |
85 ## yf = sin (2*pi*xf/5); | |
86 ## xp = [0:10]; | |
87 ## yp = sin (2*pi*xp/5); | |
88 ## lin = interp1 (xp, yp, xf); | |
89 ## spl = interp1 (xp, yp, xf, "spline"); | |
90 ## cub = interp1 (xp, yp, xf, "cubic"); | |
91 ## near = interp1 (xp, yp, xf, "nearest"); | |
92 ## plot (xf, yf, "r", xf, lin, "g", xf, spl, "b", | |
93 ## xf, cub, "c", xf, near, "m", xp, yp, "r*"); | |
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94 ## legend ("original", "linear", "spline", "cubic", "nearest"); |
5837 | 95 ## @end group |
96 ## @end example | |
97 ## | |
98 ## @seealso{interpft} | |
99 ## @end deftypefn | |
100 | |
5838 | 101 ## Author: Paul Kienzle |
102 ## Date: 2000-03-25 | |
5837 | 103 ## added 'nearest' as suggested by Kai Habel |
104 ## 2000-07-17 Paul Kienzle | |
105 ## added '*' methods and matrix y | |
106 ## check for proper table lengths | |
107 ## 2002-01-23 Paul Kienzle | |
108 ## fixed extrapolation | |
109 | |
5838 | 110 function yi = interp1 (x, y, varargin) |
5837 | 111 |
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112 if (nargin < 2 || nargin > 6) |
5837 | 113 print_usage (); |
114 endif | |
115 | |
116 method = "linear"; | |
6742 | 117 extrap = NA; |
5837 | 118 xi = []; |
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119 ispp = false; |
5837 | 120 firstnumeric = true; |
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121 rightcontinuous = []; |
5837 | 122 |
123 if (nargin > 2) | |
5838 | 124 for i = 1:length (varargin) |
5837 | 125 arg = varargin{i}; |
5838 | 126 if (ischar (arg)) |
10549 | 127 arg = tolower (arg); |
128 if (strcmp ("extrap", arg)) | |
129 extrap = "extrap"; | |
130 elseif (strcmp ("pp", arg)) | |
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131 ispp = true; |
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132 elseif (any (strcmp ({"right", "-right"}, arg))) |
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133 rightcontinuous = true; |
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134 elseif (any (strcmp ({"left", "-left"}, arg))) |
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135 rightcontinuous = false; |
10549 | 136 else |
137 method = arg; | |
138 endif | |
5837 | 139 else |
10549 | 140 if (firstnumeric) |
141 xi = arg; | |
142 firstnumeric = false; | |
143 else | |
144 extrap = arg; | |
145 endif | |
5837 | 146 endif |
147 endfor | |
148 endif | |
149 | |
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150 if (isempty (xi) && firstnumeric && ! ispp) |
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151 xi = y; |
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152 y = x; |
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153 if (isvector (y)) |
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154 x = 1:numel (y); |
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155 else |
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156 x = 1:rows (y); |
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157 endif |
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158 endif |
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159 |
5837 | 160 ## reshape matrices for convenience |
161 x = x(:); | |
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162 nx = rows (x); |
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163 szx = size (xi); |
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164 if (isvector (y)) |
5838 | 165 y = y(:); |
5837 | 166 endif |
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167 |
5838 | 168 szy = size (y); |
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169 y = y(:,:); |
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170 [ny, nc] = size (y); |
5837 | 171 xi = xi(:); |
172 | |
173 ## determine sizes | |
174 if (nx < 2 || ny < 2) | |
5838 | 175 error ("interp1: table too short"); |
5837 | 176 endif |
177 | |
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178 ## check whether x is sorted; sort if not. |
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179 if (! issorted (x, "either")) |
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180 [x, p] = sort (x); |
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181 y = y(p,:); |
5837 | 182 endif |
5838 | 183 |
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184 if (isempty (rightcontinuous)) |
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185 ## If not specified, set the continuity condition |
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186 if (x(end) < x(1)) |
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187 rightcontinuous = false; |
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188 else |
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189 rightcontinuous = true; |
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190 endif |
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191 endif |
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192 |
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193 if ((rightcontinuous && (x(end) < x(1))) |
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194 || (! rightcontinuous && (x(end) > x(1)))) |
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195 ## Switch between left-continuous and right-continuous |
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196 x = flipud (x); |
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197 y = flipud (y); |
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198 endif |
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199 |
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200 starmethod = method(1) == "*"; |
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201 |
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202 if (starmethod) |
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203 dx = x(2) - x(1); |
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204 else |
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205 jumps = x(1:end-1) == x(2:end); |
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206 have_jumps = any (jumps); |
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207 if (have_jumps) |
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208 if (any (strcmp (method, {"nearest", "linear"}))) |
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209 if (any (jumps(1:nx-2) & jumps(2:nx-1))) |
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210 error ("interp1: extra points in discontinuities"); |
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211 endif |
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212 else |
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213 error ("interp1: discontinuities not supported for method '%s'", method); |
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214 endif |
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216 endif | |
217 | |
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218 ## Proceed with interpolating by all methods. |
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219 switch (method) |
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220 case "nearest" |
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221 pp = mkpp ([x(1); (x(1:nx-1)+x(2:nx))/2; x(nx)], |
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222 shiftdim (y, 1), szy(2:end)); |
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223 pp.orient = "first"; |
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224 |
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225 if (ispp) |
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226 yi = pp; |
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227 else |
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228 yi = ppval (pp, reshape (xi, szx)); |
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229 endif |
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230 case "*nearest" |
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231 pp = mkpp ([x(1), x(1)+[0.5:(nx-1)]*dx, x(nx)], |
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232 shiftdim (y, 1), szy(2:end)); |
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233 pp.orient = "first"; |
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234 if (ispp) |
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235 yi = pp; |
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236 else |
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237 yi = ppval (pp, reshape (xi, szx)); |
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238 endif |
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239 case "linear" |
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240 dy = diff (y); |
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241 dx = diff (x); |
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242 dx = repmat (dx, [1 size(dy)(2:end)]); |
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243 coefs = [(dy./dx).'(:), y(1:nx-1, :).'(:)]; |
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244 xx = x; |
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245 |
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246 if (have_jumps) |
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247 ## Omit zero-size intervals. |
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248 coefs(jumps, :) = []; |
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249 xx(jumps) = []; |
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250 endif |
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251 |
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252 pp = mkpp (xx, coefs, szy(2:end)); |
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253 pp.orient = "first"; |
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254 |
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255 if (ispp) |
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256 yi = pp; |
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257 else |
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258 yi = ppval (pp, reshape (xi, szx)); |
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259 endif |
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260 |
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261 case "*linear" |
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262 dy = diff (y); |
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263 coefs = [(dy/dx).'(:), y(1:nx-1, :).'(:)]; |
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264 pp = mkpp (x, coefs, szy(2:end)); |
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265 pp.orient = "first"; |
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266 |
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267 if (ispp) |
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268 yi = pp; |
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269 else |
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270 yi = ppval (pp, reshape (xi, szx)); |
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271 endif |
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273 case {"pchip", "*pchip", "cubic", "*cubic"} |
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274 if (nx == 2 || starmethod) |
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275 x = linspace (x(1), x(nx), ny); |
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276 endif |
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277 |
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278 if (ispp) |
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279 y = shiftdim (reshape (y, szy), 1); |
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280 yi = pchip (x, y); |
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281 yi.orient = "first"; |
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282 else |
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283 y = shiftdim (y, 1); |
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284 yi = pchip (x, y, reshape (xi, szx)); |
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285 if (! isvector (y)) |
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286 yi = shiftdim (yi, 1); |
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287 endif |
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288 endif |
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289 case {"spline", "*spline"} |
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290 if (nx == 2 || starmethod) |
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291 x = linspace (x(1), x(nx), ny); |
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292 endif |
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293 |
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294 if (ispp) |
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295 y = shiftdim (reshape (y, szy), 1); |
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296 yi = spline (x, y); |
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297 yi.orient = "first"; |
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298 else |
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299 y = shiftdim (y, 1); |
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300 yi = spline (x, y, reshape (xi, szx)); |
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301 if (! isvector (y)) |
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302 yi = shiftdim (yi, 1); |
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303 endif |
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304 endif |
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305 otherwise |
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306 error ("interp1: invalid method '%s'", method); |
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307 endswitch |
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309 if (! ispp) |
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310 if (! ischar (extrap)) |
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311 ## determine which values are out of range and set them to extrap, |
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312 ## unless extrap == "extrap". |
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313 minx = min (x(1), x(nx)); |
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314 maxx = max (x(1), x(nx)); |
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315 |
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316 outliers = xi < minx | ! (xi <= maxx); # this catches even NaNs |
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317 if (size_equal (outliers, yi)) |
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318 yi(outliers) = extrap; |
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319 yi = reshape (yi, szx); |
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320 elseif (!isvector (yi)) |
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321 yi(outliers, :) = extrap; |
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322 else |
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323 yi(outliers.') = extrap; |
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324 endif |
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325 endif |
5837 | 326 endif |
327 | |
328 endfunction | |
329 | |
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330 |
5837 | 331 %!demo |
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332 %! clf; |
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333 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5); |
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334 %! xp = 0:10; yp = sin (2*pi*xp/5); |
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335 %! lin = interp1 (xp,yp,xf, "linear"); |
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336 %! spl = interp1 (xp,yp,xf, "spline"); |
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337 %! cub = interp1 (xp,yp,xf, "pchip"); |
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338 %! near= interp1 (xp,yp,xf, "nearest"); |
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339 %! plot (xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*"); |
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340 %! legend ("original", "nearest", "linear", "pchip", "spline"); |
5837 | 341 %! %-------------------------------------------------------- |
342 %! % confirm that interpolated function matches the original | |
343 | |
344 %!demo | |
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345 %! clf; |
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346 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5); |
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347 %! xp = 0:10; yp = sin (2*pi*xp/5); |
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348 %! lin = interp1 (xp,yp,xf, "*linear"); |
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349 %! spl = interp1 (xp,yp,xf, "*spline"); |
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350 %! cub = interp1 (xp,yp,xf, "*cubic"); |
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351 %! near= interp1 (xp,yp,xf, "*nearest"); |
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352 %! plot (xf,yf,"r",xf,near,"g",xf,lin,"b",xf,cub,"c",xf,spl,"m",xp,yp,"r*"); |
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353 %! legend ("*original", "*nearest", "*linear", "*cubic", "*spline"); |
5837 | 354 %! %-------------------------------------------------------- |
355 %! % confirm that interpolated function matches the original | |
356 | |
6721 | 357 %!demo |
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358 %! clf; |
6721 | 359 %! t = 0 : 0.3 : pi; dt = t(2)-t(1); |
360 %! n = length (t); k = 100; dti = dt*n/k; | |
361 %! ti = t(1) + [0 : k-1]*dti; | |
362 %! y = sin (4*t + 0.3) .* cos (3*t - 0.1); | |
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363 %! ddyc = diff (diff (interp1 (t,y,ti, "cubic")) ./dti)./dti; |
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364 %! ddys = diff (diff (interp1 (t,y,ti, "spline"))./dti)./dti; |
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365 %! ddyp = diff (diff (interp1 (t,y,ti, "pchip")) ./dti)./dti; |
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366 %! plot (ti(2:end-1),ddyc,'g+', ti(2:end-1),ddys,'b*', ti(2:end-1),ddyp,'c^'); |
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367 %! legend ("cubic", "spline", "pchip"); |
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368 %! title ("Second derivative of interpolated 'sin (4*t + 0.3) .* cos (3*t - 0.1)'"); |
6721 | 369 |
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370 %!demo |
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371 %! clf; |
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372 %! xf = 0:0.05:10; yf = sin (2*pi*xf/5) - (xf >= 5); |
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373 %! xp = [0:.5:4.5,4.99,5:.5:10]; yp = sin (2*pi*xp/5) - (xp >= 5); |
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374 %! lin = interp1 (xp,yp,xf, "linear"); |
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375 %! near= interp1 (xp,yp,xf, "nearest"); |
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376 %! plot (xf,yf,"r", xf,near,"g", xf,lin,"b", xp,yp,"r*"); |
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377 %! legend ("original", "nearest", "linear"); |
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378 %! %-------------------------------------------------------- |
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379 %! % confirm that interpolated function matches the original |
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380 |
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381 %!demo |
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382 %! clf; |
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383 %! x = 0:0.5:3; |
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384 %! x1 = [3 2 2 1]; |
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385 %! x2 = [1 2 2 3]; |
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386 %! y1 = [1 1 0 0]; |
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387 %! y2 = [0 0 1 1]; |
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388 %! h = plot (x, interp1 (x1, y1, x), 'b', x1, y1, 'sb'); |
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389 %! hold on |
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390 %! g = plot (x, interp1 (x2, y2, x), 'r', x2, y2, '*r'); |
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391 %! xlim ([1 3]) |
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392 %! legend ([h(1), g(1)], {'left-continous', 'right-continuous'}, ... |
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393 %! 'location', 'east') |
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394 %! legend boxoff |
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395 %! %-------------------------------------------------------- |
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396 %! % red curve is left-continuos and blue is right-continuous at x = 2 |
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397 |
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398 ##FIXME: add test for n-d arguments here |
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399 |
6374 | 400 ## For each type of interpolated test, confirm that the interpolated |
401 ## value at the knots match the values at the knots. Points away | |
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402 ## from the knots are requested, but only "nearest" and "linear" |
6374 | 403 ## confirm they are the correct values. |
404 | |
5837 | 405 %!shared xp, yp, xi, style |
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406 %! xp = 0:2:10; |
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407 %! yp = sin (2*pi*xp/5); |
6374 | 408 %! xi = [-1, 0, 2.2, 4, 6.6, 10, 11]; |
409 | |
410 ## The following BLOCK/ENDBLOCK section is repeated for each style | |
411 ## nearest, linear, cubic, spline, pchip | |
412 ## The test for ppval of cubic has looser tolerance, but otherwise | |
413 ## the tests are identical. | |
414 ## Note that the block checks style and *style; if you add more tests | |
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415 ## be sure to add them to both sections of each block. One test, |
6374 | 416 ## style vs. *style, occurs only in the first section. |
417 ## There is an ENDBLOCKTEST after the final block | |
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418 |
5837 | 419 %!test style = "nearest"; |
6374 | 420 ## BLOCK |
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421 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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422 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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423 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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424 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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425 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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426 %!assert (isempty (interp1 (xp',yp',[],style))) |
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427 %!assert (isempty (interp1 (xp,yp,[],style))) |
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428 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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429 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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430 %!assert (interp1 (xp,yp,xi,style),... |
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431 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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432 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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433 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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434 %!error interp1 (1,1,1, style) |
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435 %!assert (interp1 (xp,[yp',yp'],xi,style), |
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436 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps) |
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437 %!test style = ["*",style]; |
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438 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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439 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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440 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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441 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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442 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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443 %!assert (isempty (interp1 (xp',yp',[],style))) |
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444 %!assert (isempty (interp1 (xp,yp,[],style))) |
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445 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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446 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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447 %!assert (interp1 (xp,yp,xi,style),... |
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448 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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449 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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450 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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451 %!error interp1 (1,1,1, style) |
6374 | 452 ## ENDBLOCK |
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453 |
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454 %!test style = "linear"; |
6374 | 455 ## BLOCK |
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456 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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457 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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458 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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459 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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460 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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461 %!assert (isempty (interp1 (xp',yp',[],style))) |
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462 %!assert (isempty (interp1 (xp,yp,[],style))) |
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463 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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464 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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465 %!assert (interp1 (xp,yp,xi,style),... |
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466 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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467 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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468 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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469 %!error interp1 (1,1,1, style) |
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470 %!assert (interp1 (xp,[yp',yp'],xi,style), |
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471 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps) |
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472 %!test style = ['*',style]; |
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473 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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474 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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475 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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476 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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477 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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478 %!assert (isempty (interp1 (xp',yp',[],style))) |
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479 %!assert (isempty (interp1 (xp,yp,[],style))) |
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480 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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481 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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482 %!assert (interp1 (xp,yp,xi,style),... |
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483 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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484 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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485 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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486 %!assert (interp1 ([1 2 2 3], [1 2 3 4], 2), 3); |
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487 %!assert (interp1 ([3 2 2 1], [4 3 2 1], 2), 2); |
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488 %!error interp1 (1,1,1, style) |
6374 | 489 ## ENDBLOCK |
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490 |
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491 %!test style = "cubic"; |
6374 | 492 ## BLOCK |
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493 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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494 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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495 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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496 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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497 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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498 %!assert (isempty (interp1 (xp',yp',[],style))) |
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499 %!assert (isempty (interp1 (xp,yp,[],style))) |
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500 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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501 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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502 %!assert (interp1 (xp,yp,xi,style),... |
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503 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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504 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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505 %! interp1 (xp,yp,xi,style,"extrap"),100*eps) |
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506 %!error interp1 (1,1,1, style) |
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507 %!assert (interp1 (xp,[yp',yp'],xi,style), |
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508 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps) |
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509 %!test style = ["*",style]; |
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510 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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511 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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512 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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513 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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514 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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515 %!assert (isempty (interp1 (xp',yp',[],style))) |
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516 %!assert (isempty (interp1 (xp,yp,[],style))) |
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517 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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518 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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519 %!assert (interp1 (xp,yp,xi,style),... |
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520 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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521 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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522 %! interp1 (xp,yp,xi,style,"extrap"),100*eps) |
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523 %!error interp1 (1,1,1, style) |
6374 | 524 ## ENDBLOCK |
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525 |
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526 %!test style = "pchip"; |
6374 | 527 ## BLOCK |
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528 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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529 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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parents:
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530 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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531 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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532 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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Rik <octave@nomad.inbox5.com>
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533 %!assert (isempty (interp1 (xp',yp',[],style))) |
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534 %!assert (isempty (interp1 (xp,yp,[],style))) |
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535 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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Rik <octave@nomad.inbox5.com>
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536 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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parents:
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537 %!assert (interp1 (xp,yp,xi,style),... |
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538 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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parents:
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539 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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540 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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parents:
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|
541 %!error interp1 (1,1,1, style) |
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parents:
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542 %!assert (interp1 (xp,[yp',yp'],xi,style), |
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parents:
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543 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps) |
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parents:
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|
544 %!test style = ["*",style]; |
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Rik <octave@nomad.inbox5.com>
parents:
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545 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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parents:
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546 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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547 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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548 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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549 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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550 %!assert (isempty (interp1 (xp',yp',[],style))) |
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551 %!assert (isempty (interp1 (xp,yp,[],style))) |
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552 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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553 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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554 %!assert (interp1 (xp,yp,xi,style),... |
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555 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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556 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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557 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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558 %!error interp1 (1,1,1, style) |
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560 |
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561 %!test style = "spline"; |
6374 | 562 ## BLOCK |
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563 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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564 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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565 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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566 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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567 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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568 %!assert (isempty (interp1 (xp',yp',[],style))) |
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569 %!assert (isempty (interp1 (xp,yp,[],style))) |
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570 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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571 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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572 %!assert (interp1 (xp,yp,xi,style),... |
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573 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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574 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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575 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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576 %!error interp1 (1,1,1, style) |
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577 %!assert (interp1 (xp,[yp',yp'],xi,style), |
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578 %! interp1 (xp,[yp',yp'],xi,["*",style]),100*eps) |
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579 %!test style = ["*",style]; |
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580 %!assert (interp1 (xp, yp, [min(xp)-1, max(xp)+1],style), [NA, NA]) |
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581 %!assert (interp1 (xp,yp,xp,style), yp, 100*eps) |
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582 %!assert (interp1 (xp,yp,xp',style), yp', 100*eps) |
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583 %!assert (interp1 (xp',yp',xp',style), yp', 100*eps) |
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584 %!assert (interp1 (xp',yp',xp,style), yp, 100*eps) |
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585 %!assert (isempty (interp1 (xp',yp',[],style))) |
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586 %!assert (isempty (interp1 (xp,yp,[],style))) |
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587 %!assert (interp1 (xp,[yp',yp'],xi(:),style),... |
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588 %! [interp1(xp,yp,xi(:),style),interp1(xp,yp,xi(:),style)]) |
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589 %!assert (interp1 (xp,yp,xi,style),... |
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590 %! interp1 (fliplr (xp),fliplr (yp),xi,style),100*eps) |
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591 %!assert (ppval (interp1 (xp,yp,style,"pp"),xi), |
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592 %! interp1 (xp,yp,xi,style,"extrap"),10*eps) |
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593 %!error interp1 (1,1,1, style) |
6374 | 594 ## ENDBLOCK |
595 ## ENDBLOCKTEST | |
5837 | 596 |
597 %!# test linear extrapolation | |
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598 %!assert (interp1 ([1:5],[3:2:11],[0,6],"linear","extrap"), [1, 13], eps) |
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599 %!assert (interp1 (xp, yp, [-1, max(xp)+1],"linear",5), [5, 5]) |
5837 | 600 |
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601 %!assert (interp1 (1:2,1:2,1.4,"nearest"), 1) |
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602 %!assert (interp1 (1:2,1:2,1.4,"linear"), 1.4) |
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603 %!assert (interp1 (1:4,1:4,1.4,"cubic"), 1.4) |
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604 %!assert (interp1 (1:2,1:2,1.1, "spline"), 1.1) |
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605 %!assert (interp1 (1:3,1:3,1.4,"spline"), 1.4) |
5837 | 606 |
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607 %!assert (interp1 (1:2:4,1:2:4,1.4,"*nearest"), 1) |
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608 %!assert (interp1 (1:2:4,1:2:4,[0,1,1.4,3,4],"*linear"), [NA,1,1.4,3,NA]) |
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609 %!assert (interp1 (1:2:8,1:2:8,1.4,"*cubic"), 1.4) |
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610 %!assert (interp1 (1:2,1:2,1.3, "*spline"), 1.3) |
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611 %!assert (interp1 (1:2:6,1:2:6,1.4,"*spline"), 1.4) |
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4fbaba9abec1
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613 %!assert (interp1 ([3,2,1],[3,2,2],2.5), 2.5) |
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45c08d7c2c79
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614 |
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615 %!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]) |
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616 %!assert (interp1 ([4,4,3,2,0],[0,1,4,2,1],[1.5,4,4.5], "linear"), [1.75,1,NA]) |
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c44c786f87ba
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617 %!assert (interp1 (0:4, 2.5), 1.5) |
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618 |
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619 %!error interp1 () |
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620 %!error interp1 (1,1,1, "linear") |
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621 %!error interp1 (1,1,1, "*nearest") |
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622 %!error interp1 (1,1,1, "*linear") |
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623 %!error interp1 (1:2,1:2,1, "bogus") |
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624 |