dmakessfigure13.m

来自「beamlet变化的工具箱」· M 代码 · 共 15 行 · 第 1/2 页

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function MakeSSFigure13(varargin)
% MakeSSFigure13.m -- Figure 13 of Slant Stack Paper
% Usage: MAKESSFIGURE13 will start a new figure window and plot Figure 13 of Slant Stack Paper.
%        MAKESSFIGURE13(n) for any argument type n will plot the figure on the current figure 
%        window and plot Figure 13 of Slant Stack Paper.
if nargin == 0
	 figure;
else
     gcf;
end
% MakehnkFig -- Process output of RefinedBiDensityPartEvals
%               for n=16,32,64,128,256

%  *** n = 16 ***
% 
% k=  lambdamin lambdamax ratio  Norm hnk^ext
hn16 = [ ...
  1    3.785    5.658    1.495     0.806   ... 
  2    3.867    5.657    1.463     0.772   ... 
  3    3.937    5.657    1.437     0.742   ... 
  4    3.966    5.657    1.426     0.727   ... 
  5    3.982    5.657    1.420     0.702   ... 
  6    3.997    5.657    1.415     0.695   ... 
  7    4.000    5.657    1.414     0.669   ... 
  8    4.000    5.657    1.414     0.667   ... 
  9    4.000    5.657    1.414     0.635   ... 
 10    4.000    5.657    1.414     0.639   ... 
 11    3.999    5.657    1.414     0.594   ... 
 12    3.999    5.657    1.415     0.605   ... 
 13    3.983    5.654    1.420     0.526   ... 
 14    3.966    5.633    1.420     0.556   ... 
 15    3.968    5.528    1.393     0.000   ... 
];

Q16 = hn16( 5:5:(15*5) );
A16 = (1:15)./16;
%figure
plot(A16,Q16,'r');
hold on;
axis([0 1 0 1]);
xlabel('\alpha = k/n')
ylabel('||H_{n,k}^{ext}||')
plot([.5 .6],[.85 .85],'-r');
th = text(.65,.85,'n=16')
set(th,'Color',[1 0 0]);  % red
set(th,'FontSize',12);
% 
%  *** n = 32 ***
% 
% k=  lambdamin lambdamax ratio  Norm hnk^ext
hn32 = [ ...
  1    5.310    8.002    1.507     0.819   ... 
  2    5.389    8.000    1.484     0.790   ... 
  3    5.458    8.000    1.466     0.771   ... 
  4    5.512    8.000    1.451     0.759   ... 
  5    5.552    8.000    1.441     0.746   ... 
  6    5.568    8.000    1.437     0.738   ... 
  7    5.585    8.000    1.432     0.727   ... 
  8    5.602    8.000    1.428     0.721   ... 
  9    5.620    8.000    1.424     0.710   ... 
 10    5.635    8.000    1.420     0.705   ... 
 11    5.647    8.000    1.417     0.695   ... 
 12    5.652    8.000    1.415     0.692   ... 
 13    5.655    8.000    1.415     0.681   ... 
 14    5.657    8.000    1.414     0.679   ... 
 15    5.657    8.000    1.414     0.667   ... 
 16    5.657    8.000    1.414     0.667   ... 
 17    5.657    8.000    1.414     0.654   ... 
 18    5.657    8.000    1.414     0.655   ... 
 19    5.657    8.000    1.414     0.640   ... 
 20    5.657    8.000    1.414     0.642   ... 
 21    5.657    8.000    1.414     0.625   ... 
 22    5.657    8.000    1.414     0.629   ... 
 23    5.656    8.000    1.414     0.607   ... 
 24    5.655    8.000    1.415     0.614   ... 
 25    5.654    8.000    1.415     0.585   ... 
 26    5.654    8.000    1.415     0.595   ... 
 27    5.642    8.000    1.418     0.553   ... 
 28    5.621    8.000    1.423     0.569   ... 
 29    5.602    7.997    1.427     0.496   ... 
 30    5.596    7.981    1.426     0.532   ... 
 31    5.618    7.903    1.407     0.000   ... 
 ];
Q32 = hn32( 5:5:(31*5) );
A32 = (1:31)./32;
plot(A32,Q32,'b');
height = .80
plot([.5 .6],[height height],'-b');
th = text(.65,height,'n=32')
set(th,'Color',[0 0 1]);  % blue
set(th,'FontSize',12);

% 
%  *** n = 64 ***
% 
% k=  lambdamin lambdamax ratio  Norm hnk^ext
hn64 = [ ...
  1    7.478    11.316    1.513     0.825   ... 
  2    7.561    11.314    1.496     0.800   ... 
  3    7.632    11.314    1.482     0.786   ... 
  4    7.686    11.314    1.472     0.776   ... 
  5    7.729    11.314    1.464     0.768   ... 
  6    7.763    11.314    1.457     0.761   ... 
  7    7.789    11.314    1.453     0.755   ... 
  8    7.802    11.314    1.450     0.750   ... 
  9    7.817    11.314    1.447     0.744   ... 
 10    7.832    11.314    1.445     0.740   ... 
 11    7.848    11.314    1.442     0.735   ... 
 12    7.864    11.314    1.439     0.731   ... 
 13    7.880    11.314    1.436     0.726   ... 
 14    7.896    11.314    1.433     0.723   ... 
 15    7.912    11.314    1.430     0.718   ... 
 16    7.926    11.314    1.427     0.716   ... 
 17    7.940    11.314    1.425     0.711   ... 
 18    7.953    11.314    1.423     0.708   ... 
 19    7.964    11.314    1.421     0.704   ... 
 20    7.972    11.314    1.419     0.702   ... 
 21    7.978    11.314    1.418     0.697   ... 
 22    7.984    11.314    1.417     0.695   ... 
 23    7.989    11.314    1.416     0.691   ... 
 24    7.993    11.314    1.415     0.689   ... 
 25    7.996    11.314    1.415     0.684   ... 
 26    7.998    11.314    1.415     0.683   ... 
 27    7.999    11.314    1.414     0.678   ... 
 28    8.000    11.314    1.414     0.678   ... 
 29    8.000    11.314    1.414     0.673   ... 
 30    8.000    11.314    1.414     0.672   ... 
 31    8.000    11.314    1.414     0.667   ... 
 32    8.000    11.314    1.414     0.667   ... 
 33    8.000    11.314    1.414     0.661   ... 
 34    8.000    11.314    1.414     0.661   ... 
 35    8.000    11.314    1.414     0.656   ... 
 36    8.000    11.314    1.414     0.656   ... 
 37    8.000    11.314    1.414     0.650   ... 
 38    8.000    11.314    1.414     0.651   ... 
 39    8.000    11.314    1.414     0.644   ... 
 40    8.000    11.314    1.414     0.645   ... 
 41    8.000    11.314    1.414     0.638   ... 
 42    8.000    11.314    1.414     0.640   ... 
 43    8.000    11.314    1.414     0.631   ... 
 44    8.000    11.314    1.414     0.634   ... 
 45    8.000    11.314    1.414     0.625   ... 
 46    7.999    11.314    1.414     0.627   ... 
 47    7.999    11.314    1.414     0.617   ... 
 48    7.999    11.314    1.414     0.621   ... 
 49    7.999    11.314    1.414     0.609   ... 
 50    7.999    11.314    1.414     0.613   ... 
 51    7.998    11.314    1.415     0.599   ... 
 52    7.997    11.314    1.415     0.604   ... 
 53    7.996    11.314    1.415     0.587   ... 
 54    7.995    11.314    1.415     0.594   ... 
 55    7.995    11.314    1.415     0.575   ... 
 56    7.993    11.314    1.415     0.581   ... 
 57    7.974    11.314    1.419     0.567   ... 
 58    7.951    11.314    1.423     0.564   ... 
 59    7.930    11.314    1.427     0.555   ... 
 60    7.913    11.314    1.430     0.543   ... 
 61    7.907    11.311    1.431     0.519   ... 
 62    7.919    11.300    1.427     0.517   ... 
 63    7.959    11.243    1.413     0.000   ... 
  ];
Q64 = hn64( 5:5:(63*5) );
A64 = (1:63)./64;
plot(A64,Q64,'c');
height = .75
plot([.5 .6],[height height],'-c');
th = text(.65,height,'n=64')
set(th,'Color',[0 1 1]);  % yellow
set(th,'FontSize',12);


%  *** n = 128 ***
% 
% k=  lambdamin lambdamax ratio  Norm hnk^ext ...
hn128 = [ ...
   1    10.552    16.004    1.517     0.828   ... 
  2    10.649    16.000    1.503     0.805   ... 
  3    10.729    16.000    1.491     0.793   ... 
  4    10.787    16.000    1.483     0.785   ... 
  5    10.830    16.000    1.477     0.779   ... 
  6    10.865    16.000    1.473     0.774   ... 
  7    10.893    16.000    1.469     0.770   ... 
  8    10.917    16.000    1.466     0.766   ... 
  9    10.934    16.000    1.463     0.762   ... 
 10    10.944    16.000    1.462     0.759   ... 
 11    10.955    16.000    1.461     0.756   ... 
 12    10.967    16.000    1.459     0.753   ... 
 13    10.979    16.000    1.457     0.750   ... 
 14    10.992    16.000    1.456     0.748   ... 
 15    11.005    16.000    1.454     0.745   ... 
 16    11.018    16.000    1.452     0.743   ... 
 17    11.032    16.000    1.450     0.741   ... 
 18    11.045    16.000    1.449     0.739   ... 
 19    11.059    16.000    1.447     0.736   ... 
 20    11.072    16.000    1.445     0.734   ... 
 21    11.086    16.000    1.443     0.732   ... 
 22    11.099    16.000    1.442     0.730   ... 
 23    11.112    16.000    1.440     0.728   ... 
 24    11.125    16.000    1.438     0.726   ... 
 25    11.137    16.000    1.437     0.724   ... 
 26    11.149    16.000    1.435     0.722   ... 
 27    11.161    16.000    1.434     0.720   ... 
 28    11.173    16.000    1.432     0.719   ... 
 29    11.184    16.000    1.431     0.717   ... 
 30    11.195    16.000    1.429     0.715   ... 
 31    11.206    16.000    1.428     0.713   ... 
 32    11.216    16.000    1.427     0.712   ... 
 33    11.225    16.000    1.425     0.710   ... 
 34    11.232    16.000    1.424     0.708   ... 
 35    11.240    16.000    1.424     0.706   ... 
 36    11.247    16.000    1.423     0.705   ... 
 37    11.253    16.000    1.422     0.703   ... 
 38    11.260    16.000    1.421     0.702   ... 
 39    11.266    16.000    1.420     0.700   ... 
 40    11.272    16.000    1.419     0.699   ... 
 41    11.277    16.000    1.419     0.697   ... 
 42    11.283    16.000    1.418     0.696   ... 
 43    11.287    16.000    1.418     0.694   ... 
 44    11.292    16.000    1.417     0.693   ... 
 45    11.296    16.000    1.416     0.691   ... 
 46    11.299    16.000    1.416     0.690   ... 
 47    11.302    16.000    1.416     0.688   ... 
 48    11.304    16.000    1.415     0.687   ... 
 49    11.306    16.000    1.415     0.685   ... 
 50    11.308    16.000    1.415     0.685   ... 
 51    11.310    16.000    1.415     0.682   ... 
 52    11.311    16.000    1.415     0.682   ... 
 53    11.312    16.000    1.414     0.680   ... 
 54    11.313    16.000    1.414     0.679   ... 
 55    11.313    16.000    1.414     0.677   ... 
 56    11.313    16.000    1.414     0.677   ... 
 57    11.314    16.000    1.414     0.674   ... 
 58    11.314    16.000    1.414     0.674   ... 
 59    11.314    16.000    1.414     0.672   ... 
 60    11.314    16.000    1.414     0.672   ... 
 61    11.314    16.000    1.414     0.669   ... 
 62    11.314    16.000    1.414     0.669   ... 
 63    11.314    16.000    1.414     0.667   ... 
 64    11.314    16.000    1.414     0.667   ... 
 65    11.314    16.000    1.414     0.664   ... 
 66    11.314    16.000    1.414     0.664   ... 
 67    11.314    16.000    1.414     0.662   ... 
 68    11.314    16.000    1.414     0.662   ... 
 69    11.314    16.000    1.414     0.659   ... 
 70    11.314    16.000    1.414     0.659   ... 
 71    11.314    16.000    1.414     0.657   ... 
 72    11.314    16.000    1.414     0.657   ... 
 73    11.314    16.000    1.414     0.654   ... 
 74    11.314    16.000    1.414     0.655   ... 
 75    11.314    16.000    1.414     0.652   ... 
 76    11.314    16.000    1.414     0.652   ... 
 77    11.314    16.000    1.414     0.649   ... 
 78    11.314    16.000    1.414     0.650   ... 
 79    11.314    16.000    1.414     0.647   ... 
 80    11.314    16.000    1.414     0.648   ... 
 81    11.314    16.000    1.414     0.644   ... 
 82    11.314    16.000    1.414     0.645   ... 
 83    11.314    16.000    1.414     0.642   ... 
 84    11.314    16.000    1.414     0.643   ... 
 85    11.314    16.000    1.414     0.639   ... 
 86    11.313    16.000    1.414     0.640   ... 
 87    11.313    16.000    1.414     0.636   ... 
 88    11.313    16.000    1.414     0.638   ... 
 89    11.313    16.000    1.414     0.634   ... 
 90    11.313    16.000    1.414     0.635   ... 
 91    11.313    16.000    1.414     0.631   ... 
 92    11.313    16.000    1.414     0.632   ... 
 93    11.313    16.000    1.414     0.628   ... 
 94    11.313    16.000    1.414     0.629   ... 
 95    11.313    16.000    1.414     0.625   ... 
 96    11.313    16.000    1.414     0.627   ... 
 97    11.313    16.000    1.414     0.621   ... 
 98    11.312    16.000    1.414     0.623   ... 
 99    11.312    16.000    1.414     0.618   ... 
100    11.312    16.000    1.414     0.620   ... 
101    11.312    16.000    1.414     0.616   ... 
102    11.311    16.000    1.415     0.616   ... 
103    11.311    16.000    1.415     0.613   ... 
104    11.311    16.000    1.415     0.613   ... 
105    11.311    16.000    1.415     0.611   ... 
106    11.310    16.000    1.415     0.608   ... 
107    11.310    16.000    1.415     0.608   ... 
108    11.310    16.000    1.415     0.604   ... 
109    11.309    16.000    1.415     0.606   ... 
110    11.308    16.000    1.415     0.598   ... 
111    11.307    16.000    1.415     0.604   ... 
112    11.306    16.000    1.415     0.593   ... 
113    11.305    16.000    1.415     0.602   ... 
114    11.305    16.000    1.415     0.588   ... 
115    11.305    16.000    1.415     0.600   ... 
116    11.306    16.000    1.415     0.584   ... 
117    11.298    16.000    1.416     0.598   ... 
118    11.277    16.000    1.419     0.577   ... 
119    11.254    16.000    1.422     0.596   ... 
120    11.231    16.000    1.425     0.567   ... 
121    11.209    16.000    1.427     0.594   ... 
122    11.191    16.000    1.430     0.547   ... 
123    11.180    16.000    1.431     0.584   ... 
124    11.178    16.000    1.431     0.525   ... 
125    11.191    15.997    1.429     0.542   ... 
126    11.224    15.990    1.425     0.509   ... 
127    11.275    15.949    1.414     0.000 ];
 
Q128 = hn128( 5:5:(127*5) );
A128 = (1:127)./128;
plot(A128,Q128,'g');
height = .70
plot([.5 .6],[height height],'-g');
th = text(.65,height,'n=128')
set(th,'Color',[0 1 0]);  % green
set(th,'FontSize',12);


%  hn256 = [ ...
%   1    5.602    16.732  2.987     0.413 ... 
%   2    5.953    16.918  2.842     0.465 ... 
%   3    6.124    17.016  2.779     0.485 ... 
%   4    6.237    17.079  2.739     0.494 ... 
%   5    6.322    17.125  2.709     0.497 ... 
%   6    6.393    17.160  2.684     0.499 ... 
%   7    6.453    17.188  2.664     0.498 ... 
%   8    6.507    17.212  2.645     0.496 ... 
%   9    6.556    17.231  2.628     0.494 ... 
%  10    6.601    17.248  2.613     0.492 ... 
%  11    6.644    17.263  2.598     0.489 ... 
%  12    6.684    17.276  2.585     0.485 ... 
%  13    6.722    17.287  2.572     0.482 ... 
%  14    6.759    17.298  2.559     0.478 ... 
%  15    6.794    17.307  2.547     0.475 ... 
%  16    6.828    17.316  2.536     0.471 ... 
%  17    6.861    17.324  2.525     0.467 ... 
%  18    6.894    17.331  2.514     0.464 ... 
%  19    6.925    17.338  2.504     0.460 ... 
%  20    6.956    17.344  2.493     0.456 ... 
%  21    6.986    17.349  2.483     0.452 ... 
%  22    7.016    17.355  2.474     0.448 ... 
%  23    7.045    17.360  2.464     0.445 ... 
%  24    7.074    17.364  2.455     0.441 ... 
%  25    7.102    17.369  2.446     0.437 ... 
%  26    7.130    17.373  2.437     0.434 ... 
%  27    7.157    17.376  2.428     0.430 ... 
%  28    7.184    17.380  2.419     0.426 ... 
%  29    7.211    17.383  2.411     0.423 ... 
%  30    7.237    17.386  2.402     0.419 ... 
%  31    7.263    17.389  2.394     0.416 ... 
%  32    7.289    17.392  2.386     0.412 ... 
%  33    7.314    17.395  2.378     0.409 ... 
%  34    7.339    17.397  2.370     0.405 ... 
%  35    7.364    17.399  2.363     0.402 ... 
%  36    7.388    17.401  2.355     0.398 ... 
%  37    7.413    17.403  2.348     0.395 ... 
%  38    7.437    17.405  2.340     0.391 ... 
%  39    7.461    17.407  2.333     0.388 ... 
%  40    7.484    17.408  2.326     0.385 ... 
%  41    7.508    17.410  2.319     0.382 ... 
%  42    7.531    17.411  2.312     0.378 ... 
%  43    7.554    17.413  2.305     0.375 ... 
%  44    NaN      NaN     NaN       0.372 ... 
%  45    7.600    17.415  2.292     0.369 ... 
%  46    7.622    17.416  2.285     0.366 ... 
%  47    7.644    17.417  2.278     0.362 ... 
%  48    7.666    17.418  2.272     0.359 ... 
%  49    7.688    17.418  2.266     0.356 ... 
%  50    7.710    17.419  2.259     0.353 ... 
%  51    7.732    17.419  2.253     0.350 ... 
%  52    7.753    17.420  2.247     0.347 ... 
%  53    7.774    17.420  2.241     0.344 ... 
%  54    7.796    17.420  2.235     0.341 ... 
%  55    7.817    17.420  2.229     0.338 ... 
%  56    7.837    17.421  2.223     0.335 ... 
%  57    7.858    17.421  2.217     0.333 ... 
%  58    7.879    17.420  2.211     0.330 ... 
%  59    7.899    17.420  2.205     0.327 ... 
%  60    7.920    17.420  2.200     0.324 ... 
%  61    7.940    17.420  2.194     0.321 ... 
%  62    7.960    17.419  2.188     0.318 ... 
%  63    7.980    17.419  2.183     0.316 ... 
%  64    8.000    17.418  2.177     0.313 ... 
%  65    8.020    17.417  2.172     0.310 ... 
%  66    8.040    17.417  2.166     0.307 ... 
%  67    8.059    17.416  2.161     0.305 ... 
%  68    8.079    17.415  2.156     0.302 ... 
%  69    8.098    17.414  2.150     0.299 ... 
%  70    8.118    17.413  2.145     0.297 ... 
%  71    8.137    17.411  2.140     0.294 ... 
%  72    8.157    17.410  2.134     0.291 ... 
%  73    8.176    17.409  2.129     0.289 ... 
%  74    8.196    17.407  2.124     0.286 ... 
%  75    8.215    17.405  2.119     0.284 ... 
%  76    8.234    17.404  2.114     0.281 ... 
%  77    8.254    17.402  2.108     0.278 ... 
%  78    8.273    17.400  2.103     0.276 ... 
%  79    8.292    17.397  2.098     0.273 ... 
%  80    8.312    17.395  2.093     0.271 ... 
%  81    8.331    17.393  2.088     0.268 ... 
%  82    8.351    17.390  2.082     0.266 ... 
%  83    8.370    17.387  2.077     0.263 ... 
%  84    8.390    17.384  2.072     0.261 ... 
%  85    8.410    17.381  2.067     0.258 ... 
%  86    8.430    17.378  2.061     0.255 ... 
%  87    8.450    17.375  2.056     0.253 ... 
%  88    8.471    17.371  2.051     0.250 ... 
%  89    8.491    17.367  2.045     0.248 ... 
%  90    8.512    17.363  2.040     0.245 ... 
%  91    8.533    17.359  2.034     0.242 ... 
%  92    8.555    17.354  2.029     0.240 ... 
%  93    8.577    17.349  2.023     0.237 ... 
%  94    8.599    17.344  2.017     0.234 ... 
%  95    8.621    17.339  2.011     0.232 ... 
%  96    8.644    17.333  2.005     0.229 ... 
%  97    8.668    17.327  1.999     0.226 ... 
%  98    8.692    17.320  1.993     0.223 ... 
%  99    8.717    17.313  1.986     0.220 ... 
% 100    8.742    17.305  1.980     0.217 ... 
% 101    8.769    17.297  1.973     0.214 ... 
% 102    8.796    17.289  1.966     0.211 ... 
% 103    8.824    17.280  1.958     0.208 ... 
% 104    8.853    17.270  1.951     0.205 ... 
% 105    8.884    17.259  1.943     0.202 ... 
% 106    8.916    17.247  1.934     0.198 ... 
% 107    8.950    17.234  1.926     0.194 ... 
% 108    8.985    17.221  1.917     0.191 ... 
% 109    9.023    17.205  1.907     0.187 ... 
% 110    9.063    17.189  1.897     0.183 ... 
% 111    9.106    17.170  1.886     0.179 ... 
% 112    9.152    17.150  1.874     0.174 ... 
% 113    9.202    17.127  1.861     0.169 ... 
% 114    9.257    17.102  1.847     0.164 ... 
% 115    9.317    17.073  1.832     0.159 ... 
% 116    9.383    17.039  1.816     0.153 ... 
% 117    9.457    17.001  1.798     0.147 ... 
% 118    9.540    16.957  1.777     0.140 ... 
% 119    9.635    16.904  1.754     0.132 ... 
% 120    9.745    16.842  1.728     0.124 ... 
% 121    9.872    16.767  1.698     0.114 ... 
% 122    10.022    16.676  1.664     0.102 ... 
% 123    10.199    16.567  1.624     0.089 ... 
% 124    10.408    16.438  1.579     0.073 ... 
% 125    10.650    16.292  1.530     0.053 ... 
% 126    10.916    16.144  1.479     0.029 ... 
% 127    11.171    16.029  1.435     0.000 ];
% Q256 = hn256( 5:5:(127*5) );
% A256 = (1:127)./256;
% plot(2*A256,Q256,'k');
% height = .65
% plot([.5 .6],[height height],'-k');
% th = text(.65,height,'n=256')
% set(th,'Color',[0 0 0]);  % black
% set(th,'FontSize',12);
% 
%% Part of BeamLab Version:200% Built:Friday,23-Aug-2002 00:00:00% This is Copyrighted Material% For Copying permissions see COPYING.m% Comments? e-mail beamlab@stat.stanford.edu%

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