mlab.griddata错误? [英] mlab.griddata bug?

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问题描述

当我遇到一个奇怪的,看起来像浮点精度错误的问题时,我正在使用mlab.griddata插入一些数据.这是调用顺序:

I'm using mlab.griddata to interpolate some data when I encountered a strange and what looks like floating point precision bug. This is calling sequence:

nvals = matplotlib.mlab.griddata(lon_old.ravel(),
                                 lat_old.ravel(),               
                                 ivals.ravel(),             
                                 lon_new,                      
                                 lat_new,interp='linear').T
lat_old = array([ 19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,
    -2.8037247 ,  19.62606908,  18.50457985,  17.38309053,
    16.26160115,  15.14011169,  14.01862218,  12.8971326 ,
    11.77564298,  10.65415331,   9.53266359,   8.41117384,
     7.28968406,   6.16819425,   5.04670442,   3.92521457,
     2.8037247 ,   1.68223483,   0.56074494,  -0.56074494,
    -1.68223483,  -2.8037247 ,  19.62606908,  18.50457985,
    17.38309053,  16.26160115,  15.14011169,  14.01862218,
    12.8971326 ,  11.77564298,  10.65415331,   9.53266359,
     8.41117384,   7.28968406,   6.16819425,   5.04670442,
     3.92521457,   2.8037247 ,   1.68223483,   0.56074494,
    -0.56074494,  -1.68223483,  -2.8037247 ,  19.62606908,
    18.50457985,  17.38309053,  16.26160115,  15.14011169,
    14.01862218,  12.8971326 ,  11.77564298,  10.65415331,
     9.53266359,   8.41117384,   7.28968406,   6.16819425,
     5.04670442,   3.92521457,   2.8037247 ,   1.68223483,
     0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ,
    19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,
    -2.8037247 ,  19.62606908,  18.50457985,  17.38309053,
    16.26160115,  15.14011169,  14.01862218,  12.8971326 ,
    11.77564298,  10.65415331,   9.53266359,   8.41117384,
     7.28968406,   6.16819425,   5.04670442,   3.92521457,
     2.8037247 ,   1.68223483,   0.56074494,  -0.56074494,
    -1.68223483,  -2.8037247 ,  19.62606908,  18.50457985,
    17.38309053,  16.26160115,  15.14011169,  14.01862218,
    12.8971326 ,  11.77564298,  10.65415331,   9.53266359,
     8.41117384,   7.28968406,   6.16819425,   5.04670442,
     3.92521457,   2.8037247 ,   1.68223483,   0.56074494,
    -0.56074494,  -1.68223483,  -2.8037247 ,  19.62606908,
    18.50457985,  17.38309053,  16.26160115,  15.14011169,
    14.01862218,  12.8971326 ,  11.77564298,  10.65415331,
     9.53266359,   8.41117384,   7.28968406,   6.16819425,
     5.04670442,   3.92521457,   2.8037247 ,   1.68223483,
     0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ,
    19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,
    -2.8037247 ,  19.62606908,  18.50457985,  17.38309053,
    16.26160115,  15.14011169,  14.01862218,  12.8971326 ,
    11.77564298,  10.65415331,   9.53266359,   8.41117384,
     7.28968406,   6.16819425,   5.04670442,   3.92521457,
     2.8037247 ,   1.68223483,   0.56074494,  -0.56074494,
    -1.68223483,  -2.8037247 ,  19.62606908,  18.50457985,
    17.38309053,  16.26160115,  15.14011169,  14.01862218,
    12.8971326 ,  11.77564298,  10.65415331,   9.53266359,
     8.41117384,   7.28968406,   6.16819425,   5.04670442,
     3.92521457,   2.8037247 ,   1.68223483,   0.56074494,
    -0.56074494,  -1.68223483,  -2.8037247 ,  19.62606908,
    18.50457985,  17.38309053,  16.26160115,  15.14011169,
    14.01862218,  12.8971326 ,  11.77564298,  10.65415331,
     9.53266359,   8.41117384,   7.28968406,   6.16819425,
     5.04670442,   3.92521457,   2.8037247 ,   1.68223483,
     0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ,
    19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,
    -2.8037247 ,  19.62606908,  18.50457985,  17.38309053,
    16.26160115,  15.14011169,  14.01862218,  12.8971326 ,
    11.77564298,  10.65415331,   9.53266359,   8.41117384,
     7.28968406,   6.16819425,   5.04670442,   3.92521457,
     2.8037247 ,   1.68223483,   0.56074494,  -0.56074494,
    -1.68223483,  -2.8037247 ,  19.62606908,  18.50457985,
    17.38309053,  16.26160115,  15.14011169,  14.01862218,
    12.8971326 ,  11.77564298,  10.65415331,   9.53266359,
     8.41117384,   7.28968406,   6.16819425,   5.04670442,
     3.92521457,   2.8037247 ,   1.68223483,   0.56074494,
    -0.56074494,  -1.68223483,  -2.8037247 ,  19.62606908,
    18.50457985,  17.38309053,  16.26160115,  15.14011169,
    14.01862218,  12.8971326 ,  11.77564298,  10.65415331,
     9.53266359,   8.41117384,   7.28968406,   6.16819425,
     5.04670442,   3.92521457,   2.8037247 ,   1.68223483,
     0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ,
    19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,
    -2.8037247 ,  19.62606908,  18.50457985,  17.38309053,
    16.26160115,  15.14011169,  14.01862218,  12.8971326 ,
    11.77564298,  10.65415331,   9.53266359,   8.41117384,
     7.28968406,   6.16819425,   5.04670442,   3.92521457,
     2.8037247 ,   1.68223483,   0.56074494,  -0.56074494,
    -1.68223483,  -2.8037247 ,  19.62606908,  18.50457985,
    17.38309053,  16.26160115,  15.14011169,  14.01862218,
    12.8971326 ,  11.77564298,  10.65415331,   9.53266359,
     8.41117384,   7.28968406,   6.16819425,   5.04670442,
     3.92521457,   2.8037247 ,   1.68223483,   0.56074494,
    -0.56074494,  -1.68223483,  -2.8037247 ,  19.62606908,
    18.50457985,  17.38309053,  16.26160115,  15.14011169,
    14.01862218,  12.8971326 ,  11.77564298,  10.65415331,
     9.53266359,   8.41117384,   7.28968406,   6.16819425,
     5.04670442,   3.92521457,   2.8037247 ,   1.68223483,
     0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ,
    19.62606908,  18.50457985,  17.38309053,  16.26160115,
    15.14011169,  14.01862218,  12.8971326 ,  11.77564298,
    10.65415331,   9.53266359,   8.41117384,   7.28968406,
     6.16819425,   5.04670442,   3.92521457,   2.8037247 ,
     1.68223483,   0.56074494,  -0.56074494,  -1.68223483,  -2.8037247 ])

lon_old = array([ 228.375,  228.375,  228.375,  228.375,  228.375,  228.375,
    228.375,  228.375,  228.375,  228.375,  228.375,  228.375,
    228.375,  228.375,  228.375,  228.375,  228.375,  228.375,
    228.375,  228.375,  228.375,  229.5  ,  229.5  ,  229.5  ,
    229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,
    229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,
    229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,  229.5  ,
    230.625,  230.625,  230.625,  230.625,  230.625,  230.625,
    230.625,  230.625,  230.625,  230.625,  230.625,  230.625,
    230.625,  230.625,  230.625,  230.625,  230.625,  230.625,
    230.625,  230.625,  230.625,  231.75 ,  231.75 ,  231.75 ,
    231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,
    231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,
    231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,  231.75 ,
    232.875,  232.875,  232.875,  232.875,  232.875,  232.875,
    232.875,  232.875,  232.875,  232.875,  232.875,  232.875,
    232.875,  232.875,  232.875,  232.875,  232.875,  232.875,
    232.875,  232.875,  232.875,  234.   ,  234.   ,  234.   ,
    234.   ,  234.   ,  234.   ,  234.   ,  234.   ,  234.   ,
    234.   ,  234.   ,  234.   ,  234.   ,  234.   ,  234.   ,
    234.   ,  234.   ,  234.   ,  234.   ,  234.   ,  234.   ,
    235.125,  235.125,  235.125,  235.125,  235.125,  235.125,
    235.125,  235.125,  235.125,  235.125,  235.125,  235.125,
    235.125,  235.125,  235.125,  235.125,  235.125,  235.125,
    235.125,  235.125,  235.125,  236.25 ,  236.25 ,  236.25 ,
    236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,
    236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,
    236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,  236.25 ,
    237.375,  237.375,  237.375,  237.375,  237.375,  237.375,
    237.375,  237.375,  237.375,  237.375,  237.375,  237.375,
    237.375,  237.375,  237.375,  237.375,  237.375,  237.375,
    237.375,  237.375,  237.375,  238.5  ,  238.5  ,  238.5  ,
    238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,
    238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,
    238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,  238.5  ,
    239.625,  239.625,  239.625,  239.625,  239.625,  239.625,
    239.625,  239.625,  239.625,  239.625,  239.625,  239.625,
    239.625,  239.625,  239.625,  239.625,  239.625,  239.625,
    239.625,  239.625,  239.625,  240.75 ,  240.75 ,  240.75 ,
    240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,
    240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,
    240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,  240.75 ,
    241.875,  241.875,  241.875,  241.875,  241.875,  241.875,
    241.875,  241.875,  241.875,  241.875,  241.875,  241.875,
    241.875,  241.875,  241.875,  241.875,  241.875,  241.875,
    241.875,  241.875,  241.875,  243.   ,  243.   ,  243.   ,
    243.   ,  243.   ,  243.   ,  243.   ,  243.   ,  243.   ,
    243.   ,  243.   ,  243.   ,  243.   ,  243.   ,  243.   ,
    243.   ,  243.   ,  243.   ,  243.   ,  243.   ,  243.   ,
    244.125,  244.125,  244.125,  244.125,  244.125,  244.125,
    244.125,  244.125,  244.125,  244.125,  244.125,  244.125,
    244.125,  244.125,  244.125,  244.125,  244.125,  244.125,
    244.125,  244.125,  244.125,  245.25 ,  245.25 ,  245.25 ,
    245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,
    245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,
    245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,  245.25 ,
    246.375,  246.375,  246.375,  246.375,  246.375,  246.375,
    246.375,  246.375,  246.375,  246.375,  246.375,  246.375,
    246.375,  246.375,  246.375,  246.375,  246.375,  246.375,
    246.375,  246.375,  246.375,  247.5  ,  247.5  ,  247.5  ,
    247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,
    247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,
    247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,  247.5  ,
    248.625,  248.625,  248.625,  248.625,  248.625,  248.625,
    248.625,  248.625,  248.625,  248.625,  248.625,  248.625,
    248.625,  248.625,  248.625,  248.625,  248.625,  248.625,
    248.625,  248.625,  248.625,  249.75 ,  249.75 ,  249.75 ,
    249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,
    249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,
    249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,  249.75 ,
    250.875,  250.875,  250.875,  250.875,  250.875,  250.875,
    250.875,  250.875,  250.875,  250.875,  250.875,  250.875,
    250.875,  250.875,  250.875,  250.875,  250.875,  250.875,
    250.875,  250.875,  250.875])

lon_new = array([ 229.078125,  229.78125 ,  230.484375,  231.1875  ,  231.890625,
    232.59375 ,  233.296875,  234.      ,  234.703125,  235.40625 ,
    236.109375,  236.8125  ,  237.515625,  238.21875 ,  238.921875,
    239.625   ,  240.328125,  241.03125 ,  241.734375,  242.4375  ,
    243.140625,  243.84375 ,  244.546875,  245.25    ,  245.953125,
    246.65625 ,  247.359375,  248.0625  ,  248.765625,  249.46875 ,
    250.171875])
lat_new = array([ 18.95804884,  18.25492384,  17.55179884,  16.84867384,
    16.14554884,  15.44242384,  14.73929884,  14.03617384,
    13.33304884,  12.62992384,  11.92679884,  11.22367384,
    10.52054884,   9.81742384,   9.11429884,   8.41117384,
     7.70804884,   7.00492384,   6.30179884,   5.59867384,
     4.89554884,   4.19242384,   3.48929884,   2.78617384,
     2.08304884,   1.37992384,   0.67679884,  -0.02632616,
    -0.72945116,  -1.43257616,  -2.13570116])

dlon_new = dx = array([-0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7,
   -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7,
   -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7, -0.7])
dlat_new = dy = array([ 0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,
    0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,
    0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7,  0.7])
epsy = 1.0000000000000001e-15
epsx = 1.0000000000000001e-15

ivals = array([[  1.51914963e-03,   4.84249834e-03,   1.24178734e-02,
      1.78842712e-02,   2.73387861e-02,   3.49708572e-02,
      3.76453847e-02,   3.83761562e-02,   3.42653096e-02,
      2.37101801e-02,   1.05387643e-02,   6.25021639e-04,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  2.35232967e-03,   6.95531536e-03,   1.20530156e-02,
      1.50254052e-02,   2.06609517e-02,   2.70908102e-02,
      2.68270355e-02,   1.82730909e-02,   1.43693918e-02,
      1.78140309e-02,   1.54578537e-02,   4.77255462e-03,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  5.49260434e-03,   1.21264756e-02,   1.16909835e-02,
      1.09791821e-02,   1.34972855e-02,   1.25683891e-02,
      7.35369883e-03,   5.41831227e-03,   4.72079264e-05,
      6.89811632e-03,   7.71775097e-03,   2.97224917e-03,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  1.13926865e-02,   1.21114589e-02,   8.51153489e-03,
      5.64892637e-03,   4.42338269e-03,   2.71651126e-03,
      6.50693983e-05,   1.18285546e-03,   1.15790730e-03,
      1.27750791e-05,   1.16404856e-03,   3.87609383e-04,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  9.99477133e-03,   7.84504320e-03,   4.12580743e-03,
      1.95651152e-03,   6.27938076e-04,   3.64340417e-06,
      0.00000000e+00,   5.80144624e-05,   9.30973620e-05,
      6.09520539e-05,   3.19228930e-05,   2.95944778e-06,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
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      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
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      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00],
   [  0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00,
      0.00000000e+00,   0.00000000e+00,   0.00000000e+00]], dtype=float32)

这是mlab代码中标记错误的部分:

This is the part of the mlab code that flags the error:

dx.max()-dx.min() = 1.7763568394002505e-15
dy.max()-dy.min() = 0.0
epsy = np.finfo(yi.dtype).resolution 
if dx.max()-dx.min() > epsx or dy.max()-dy.min() > epsy:
   raise ValueError("output grid must have constant spacing"
                    " when using interp='linear'")

我很想知道如何解决这个问题.我不拥有此python安装,因此无法修改if语句.有时这可行,有时却不可行,这似乎取决于数据输入,但是在这种情况下,当它确实中断时,dy和dy都相同. 这是mlab中的错误吗?如果我改为"nn"而不是线性,问题就解决了,但是我需要线性"插值.

I would love to know how to get around this problem. I don't own this python installation so I cannot modify the if statement. Sometimes this works and sometimes it doesn't, it seems to depend on the data input but in this case when it does break, the dy and dy are all the same. Is this a bug in mlab? If I change to 'nn' instead of linear, the problem goes away but I need the 'linear' interpolation.

谢谢, /Shejo284

Thanks, /Shejo284

推荐答案

我对mlab没有任何运气.改为改为scipy.interpolate.griddata.看来可行,结果看起来不错.

I've had no luck with mlab. Switched to scipy.interpolate.griddata instead. It seems to work and the results look good.

nvals = scipy.interpolate.griddata((lon_old.ravel(),     
                                   lat_old.ravel()),    
                                   tmp.ravel(),          
                                   (lon_new,lat_new),    
                                   method='linear')

感谢您的贡献.

这篇关于mlab.griddata错误?的文章就介绍到这了,希望我们推荐的答案对大家有所帮助,也希望大家多多支持IT屋!

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