Графики скорости сходимости вычислений
Ниже
для сравнения представлены графики
скорости сходимости решения, полученные
вышеуказанными методами. Графики
получены для точки с координатами
и
.
Результаты вычислений
Rabochaya oblast: Lx = 1.000
Ly = 1.000
Reshotka: uzlov po x = 5
uzlov po y = 5
----------------------------------------------------------------------------
Value F TDMA Gauss Gauss-Seidel Top relaxation
----------------------------------------------------------------------------
(x,y) F F F F
( .00000, .00000) .000 .000 .000 .000
( .25000, .00000) 46.250 46.250 46.250 46.250
( .50000, .00000) 65.000 65.000 65.000 65.000
( .75000, .00000) 96.250 96.250 96.250 96.250
( 1.00000, .00000) .000 .000 .000 .000
( .00000, .25000) 58.750 58.750 58.750 58.750
( .25000, .25000) 65.000 65.000 64.999 65.000
( .50000, .25000) 83.750 83.750 83.749 83.750
( .75000, .25000) 115.000 115.000 115.000 115.000
( 1.00000, .25000) 158.750 158.750 158.750 158.750
( .00000, .50000) 65.000 65.000 65.000 65.000
( .25000, .50000) 71.250 71.250 71.249 71.250
( .50000, .50000) 90.000 90.000 89.999 90.000
( .75000, .50000) 121.250 121.250 121.250 121.250
( 1.00000, .50000) 165.000 165.000 165.000 165.000
( .00000, .75000) 58.750 58.750 58.750 58.750
( .25000, .75000) 65.000 65.000 65.000 65.000
( .50000, .75000) 83.750 83.750 83.750 83.750
( .75000, .75000) 115.000 115.000 115.000 115.000
( 1.00000, .75000) 158.750 158.750 158.750 158.750
( .00000, 1.00000) .000 .000 .000 .000
( .25000, 1.00000) 46.250 46.250 46.250 46.250
( .50000, 1.00000) 65.000 65.000 65.000 65.000
( .75000, 1.00000) 96.250 96.250 96.250 96.250
( 1.00000, 1.00000) .000 .000 .000 .000
----------------------------------------------------------------------------
Rabochaya oblast: Lx = 1.000
Ly = 1.000
Reshotka: uzlov po x = 9
uzlov po y = 9
----------------------------------------------------------------------------
Value F TDMA Gauss Gauss-Seidel Top relaxation
----------------------------------------------------------------------------
(x,y) F F F F
( .00000, .00000) .000 .000 .000 .000
( .12500, .00000) 41.563 41.563 41.563 41.563
( .25000, .00000) 46.250 46.250 46.250 46.250
( .37500, .00000) 54.063 54.063 54.063 54.063
( .50000, .00000) 65.000 65.000 65.000 65.000
( .62500, .00000) 79.063 79.063 79.063 79.063
( .75000, .00000) 96.250 96.250 96.250 96.250
( .87500, .00000) 116.563 116.563 116.563 116.563
( 1.00000, .00000) .000 .000 .000 .000
( .00000, .12500) 50.938 50.938 50.938 50.938
( .12500, .12500) 52.500 52.500 52.499 52.500
( .25000, .12500) 57.187 57.188 57.185 57.187
( .37500, .12500) 64.999 65.000 64.997 64.999
( .50000, .12500) 75.936 75.938 75.935 75.937
( .62500, .12500) 89.999 90.000 89.998 90.000
( .75000, .12500) 107.187 107.187 107.186 107.187
( .87500, .12500) 127.500 127.500 127.499 127.500
( 1.00000, .12500) 150.938 150.938 150.938 150.938
( .00000, .25000) 58.750 58.750 58.750 58.750
( .12500, .25000) 60.312 60.313 60.310 60.312
( .25000, .25000) 64.999 65.000 64.996 64.999
( .37500, .25000) 72.811 72.813 72.808 72.812
( .50000, .25000) 83.748 83.750 83.745 83.750
( .62500, .25000) 97.811 97.812 97.809 97.812
( .75000, .25000) 114.999 115.000 114.997 115.000
( .87500, .25000) 135.312 135.312 135.311 135.312
( 1.00000, .25000) 158.750 158.750 158.750 158.750
( .00000, .37500) 63.438 63.438 63.438 63.438
( .12500, .37500) 64.999 65.000 64.997 64.999
( .25000, .37500) 69.686 69.688 69.683 69.687
( .37500, .37500) 77.498 77.500 77.494 77.499
( .50000, .37500) 88.435 88.438 88.432 88.437
( .62500, .37500) 102.498 102.500 102.495 102.500
( .75000, .37500) 119.686 119.687 119.684 119.687
( .87500, .37500) 139.999 140.000 139.998 140.000
( 1.00000, .37500) 163.438 163.438 163.438 163.438
( .00000, .50000) 65.000 65.000 65.000 65.000
( .12500, .50000) 66.562 66.562 66.560 66.562
( .25000, .50000) 71.249 71.250 71.245 71.250
( .37500, .50000) 79.061 79.063 79.057 79.062
( .50000, .50000) 89.998 90.000 89.994 90.000
( .62500, .50000) 104.061 104.062 104.058 104.062
( .75000, .50000) 121.249 121.250 121.247 121.250
( .87500, .50000) 141.562 141.562 141.561 141.562
( 1.00000, .50000) 165.000 165.000 165.000 165.000
( .00000, .62500) 63.438 63.438 63.438 63.438
( .12500, .62500) 64.999 65.000 64.998 65.000
( .25000, .62500) 69.686 69.688 69.684 69.687
( .37500, .62500) 77.499 77.500 77.495 77.500
( .50000, .62500) 88.436 88.438 88.433 88.437
( .62500, .62500) 102.499 102.500 102.496 102.500
( .75000, .62500) 119.686 119.687 119.685 119.687
( .87500, .62500) 139.999 140.000 139.999 140.000
( 1.00000, .62500) 163.438 163.438 163.438 163.438
( .00000, .75000) 58.750 58.750 58.750 58.750
( .12500, .75000) 60.312 60.313 60.311 60.312
( .25000, .75000) 64.999 65.000 64.997 65.000
( .37500, .75000) 72.812 72.812 72.809 72.812
( .50000, .75000) 83.749 83.750 83.747 83.750
( .62500, .75000) 97.812 97.812 97.810 97.812
( .75000, .75000) 114.999 115.000 114.998 115.000
( .87500, .75000) 135.312 135.312 135.311 135.312
( 1.00000, .75000) 158.750 158.750 158.750 158.750
( .00000, .87500) 50.938 50.938 50.938 50.938
( .12500, .87500) 52.500 52.500 52.499 52.500
( .25000, .87500) 57.187 57.187 57.186 57.187
( .37500, .87500) 65.000 65.000 64.998 65.000
( .50000, .87500) 75.937 75.937 75.936 75.937
( .62500, .87500) 90.000 90.000 89.999 90.000
( .75000, .87500) 107.187 107.187 107.186 107.187
( .87500, .87500) 127.500 127.500 127.499 127.500
( 1.00000, .87500) 150.938 150.938 150.938 150.938
( .00000, 1.00000) .000 .000 .000 .000
( .12500, 1.00000) 41.563 41.563 41.563 41.563
( .25000, 1.00000) 46.250 46.250 46.250 46.250
( .37500, 1.00000) 54.063 54.063 54.063 54.063
( .50000, 1.00000) 65.000 65.000 65.000 65.000
( .62500, 1.00000) 79.063 79.063 79.063 79.063
( .75000, 1.00000) 96.250 96.250 96.250 96.250
( .87500, 1.00000) 116.563 116.563 116.563 116.563
( 1.00000, 1.00000) .000 .000 .000 .000
----------------------------------------------------------------------------
Rabochaya oblast: Lx = 1.000
Ly = 1.000
Reshotka: uzlov po x = 17
uzlov po y = 17
----------------------------------------------------------------------------
Value F TDMA Gauss Gauss-Seidel Top relaxation
----------------------------------------------------------------------------
(x,y) F F F F
( .00000, .00000) .000 .000 .000 .000
( .06250, .00000) 40.391 40.391 40.391 40.391
( .12500, .00000) 41.563 41.563 41.563 41.563
( .18750, .00000) 43.516 43.516 43.516 43.516
( .25000, .00000) 46.250 46.250 46.250 46.250
( .31250, .00000) 49.766 49.766 49.766 49.766
( .37500, .00000) 54.063 54.063 54.063 54.063
( .43750, .00000) 59.141 59.141 59.141 59.141
( .50000, .00000) 65.000 65.000 65.000 65.000
( .56250, .00000) 71.641 71.641 71.641 71.641
( .62500, .00000) 79.063 79.063 79.063 79.063
( .68750, .00000) 87.266 87.266 87.266 87.266
( .75000, .00000) 96.250 96.250 96.250 96.250
( .81250, .00000) 106.016 106.016 106.016 106.016
( .87500, .00000) 116.563 116.563 116.563 116.563
( .93750, .00000) 127.891 127.891 127.891 127.891
( 1.00000, .00000) .000 .000 .000 .000
( .00000, .06250) 45.859 45.859 45.859 45.859
( .06250, .06250) 46.249 46.250 46.249 46.250
( .12500, .06250) 47.421 47.422 47.419 47.421
( .18750, .06250) 49.373 49.375 49.372 49.374
( .25000, .06250) 52.107 52.109 52.105 52.108
( .31250, .06250) 55.622 55.625 55.620 55.624
( .37500, .06250) 59.919 59.922 59.917 59.921
( .43750, .06250) 64.997 65.000 64.994 64.999
( .50000, .06250) 70.856 70.859 70.854 70.859
( .56250, .06250) 77.497 77.500 77.495 77.499
( .62500, .06250) 84.919 84.922 84.917 84.921
( .68750, .06250) 93.123 93.125 93.121 93.125
( .75000, .06250) 102.107 102.109 102.106 102.109
( .81250, .06250) 111.873 111.875 111.872 111.875
( .87500, .06250) 122.421 122.422 122.420 122.422
( .93750, .06250) 133.749 133.750 133.749 133.750
( 1.00000, .06250) 145.859 145.859 145.859 145.859
( .00000, .12500) 50.938 50.938 50.938 50.938
( .06250, .12500) 51.327 51.328 51.326 51.327
( .12500, .12500) 52.498 52.500 52.495 52.499
( .18750, .12500) 54.450 54.453 54.447 54.452
( .25000, .12500) 57.183 57.187 57.179 57.186
( .31250, .12500) 60.698 60.703 60.694 60.701
( .37500, .12500) 64.995 65.000 64.990 64.998
( .43750, .12500) 70.073 70.078 70.067 70.077
( .50000, .12500) 75.932 75.937 75.927 75.936
( .56250, .12500) 82.573 82.578 82.568 82.577
( .62500, .12500) 89.995 90.000 89.990 89.999
( .68750, .12500) 98.198 98.203 98.195 98.203
( .75000, .12500) 107.183 107.187 107.180 107.187
( .81250, .12500) 116.950 116.953 116.948 116.953
( .87500, .12500) 127.498 127.500 127.496 127.500
( .93750, .12500) 138.827 138.828 138.826 138.828
( 1.00000, .12500) 150.938 150.938 150.938 150.938
( .00000, .18750) 55.234 55.234 55.234 55.234
( .06250, .18750) 55.623 55.625 55.622 55.624
( .12500, .18750) 56.794 56.797 56.790 56.795
( .18750, .18750) 58.746 58.750 58.741 58.748
( .25000, .18750) 61.479 61.484 61.473 61.482
( .31250, .18750) 64.993 65.000 64.987 64.998
( .37500, .18750) 69.290 69.297 69.282 69.295
( .43750, .18750) 74.367 74.375 74.360 74.373
( .50000, .18750) 80.226 80.234 80.219 80.233
( .56250, .18750) 86.867 86.875 86.860 86.874
( .62500, .18750) 94.290 94.297 94.283 94.296
( .68750, .18750) 102.493 102.500 102.488 102.499
( .75000, .18750) 111.479 111.484 111.474 111.484
( .81250, .18750) 121.246 121.250 121.242 121.250
( .87500, .18750) 131.794 131.797 131.792 131.797
( .93750, .18750) 143.123 143.125 143.122 143.125
( 1.00000, .18750) 155.234 155.234 155.234 155.234
( .00000, .25000) 58.750 58.750 58.750 58.750
( .06250, .25000) 59.139 59.141 59.136 59.140
( .12500, .25000) 60.309 60.312 60.304 60.311
( .18750, .25000) 62.260 62.266 62.254 62.263
( .25000, .25000) 64.993 65.000 64.985 64.998
( .31250, .25000) 68.508 68.516 68.499 68.513
( .37500, .25000) 72.804 72.812 72.794 72.810
( .43750, .25000) 77.881 77.891 77.872 77.889
( .50000, .25000) 83.740 83.750 83.731 83.748
( .56250, .25000) 90.381 90.391 90.372 90.389
( .62500, .25000) 97.804 97.812 97.796 97.811
( .68750, .25000) 106.008 106.016 106.001 106.015
( .75000, .25000) 114.993 115.000 114.988 114.999
( .81250, .25000) 124.760 124.766 124.756 124.765
( .87500, .25000) 135.309 135.313 135.306 135.312
( .93750, .25000) 146.639 146.641 146.637 146.641
( 1.00000, .25000) 158.750 158.750 158.750 158.750
( .00000, .31250) 61.484 61.484 61.484 61.484
( .06250, .31250) 61.873 61.875 61.870 61.874
( .12500, .31250) 63.043 63.047 63.037 63.045
( .18750, .31250) 64.994 65.000 64.987 64.998
( .25000, .31250) 67.727 67.734 67.718 67.732
( .31250, .31250) 71.241 71.250 71.231 71.248
( .37500, .31250) 75.537 75.547 75.526 75.545
( .43750, .31250) 80.614 80.625 80.603 80.623
( .50000, .31250) 86.473 86.484 86.462 86.483
( .56250, .31250) 93.114 93.125 93.104 93.124
( .62500, .31250) 100.537 100.547 100.527 100.546
( .68750, .31250) 108.741 108.750 108.733 108.749
( .75000, .31250) 117.727 117.734 117.720 117.734
( .81250, .31250) 127.494 127.500 127.489 127.500
( .87500, .31250) 138.043 138.047 138.039 138.047
( .93750, .31250) 149.373 149.375 149.371 149.375
( 1.00000, .31250) 161.484 161.484 161.484 161.484
( .00000, .37500) 63.438 63.438 63.438 63.438
( .06250, .37500) 63.826 63.828 63.823 63.827
( .12500, .37500) 64.995 65.000 64.990 64.998
( .18750, .37500) 66.947 66.953 66.938 66.951
( .25000, .37500) 69.679 69.687 69.669 69.685
( .31250, .37500) 73.193 73.203 73.182 73.201
( .37500, .37500) 77.489 77.500 77.477 77.498
( .43750, .37500) 82.567 82.578 82.554 82.577
( .50000, .37500) 88.426 88.438 88.413 88.436
( .56250, .37500) 95.067 95.078 95.055 95.077
( .62500, .37500) 102.489 102.500 102.479 102.499
( .68750, .37500) 110.693 110.703 110.684 110.702
( .75000, .37500) 119.679 119.688 119.672 119.687
( .81250, .37500) 129.447 129.453 129.441 129.453
( .87500, .37500) 139.995 140.000 139.992 140.000
( .93750, .37500) 151.326 151.328 151.324 151.328
( 1.00000, .37500) 163.438 163.438 163.438 163.438
( .00000, .43750) 64.609 64.609 64.609 64.609
( .06250, .43750) 64.998 65.000 64.994 64.999
( .12500, .43750) 66.167 66.172 66.161 66.170
( .18750, .43750) 68.118 68.125 68.110 68.123
( .25000, .43750) 70.851 70.859 70.840 70.857
( .31250, .43750) 74.365 74.375 74.353 74.373
( .37500, .43750) 78.661 78.672 78.648 78.670
( .43750, .43750) 83.738 83.750 83.725 83.749
( .50000, .43750) 89.597 89.609 89.584 89.608
( .56250, .43750) 96.238 96.250 96.226 96.249
( .62500, .43750) 103.661 103.672 103.650 103.671
( .68750, .43750) 111.865 111.875 111.855 111.874
( .75000, .43750) 120.851 120.859 120.843 120.859
( .81250, .43750) 130.618 130.625 130.612 130.625
( .87500, .43750) 141.167 141.172 141.163 141.172
( .93750, .43750) 152.498 152.500 152.496 152.500
( 1.00000, .43750) 164.609 164.609 164.609 164.609
( .00000, .50000) 65.000 65.000 65.000 65.000
( .06250, .50000) 65.388 65.391 65.385 65.390
( .12500, .50000) 66.558 66.562 66.552 66.561
( .18750, .50000) 68.509 68.516 68.500 68.514
( .25000, .50000) 71.242 71.250 71.231 71.248
( .31250, .50000) 74.756 74.766 74.744 74.764
( .37500, .50000) 79.052 79.062 79.038 79.061
( .43750, .50000) 84.129 84.141 84.116 84.139
( .50000, .50000) 89.988 90.000 89.975 89.999
( .56250, .50000) 96.629 96.641 96.617 96.640
( .62500, .50000) 104.052 104.063 104.040 104.062
( .68750, .50000) 112.256 112.266 112.246 112.265
( .75000, .50000) 121.242 121.250 121.234 121.250
( .81250, .50000) 131.009 131.016 131.003 131.015
( .87500, .50000) 141.558 141.563 141.554 141.562
( .93750, .50000) 152.888 152.891 152.886 152.891
( 1.00000, .50000) 165.000 165.000 165.000 165.000
( .00000, .56250) 64.609 64.609 64.609 64.609
( .06250, .56250) 64.998 65.000 64.995 64.999
( .12500, .56250) 66.168 66.172 66.162 66.171
( .18750, .56250) 68.119 68.125 68.110 68.124
( .25000, .56250) 70.852 70.859 70.841 70.858
( .31250, .56250) 74.366 74.375 74.354 74.374
( .37500, .56250) 78.662 78.672 78.649 78.671
( .43750, .56250) 83.739 83.750 83.726 83.749
( .50000, .56250) 89.598 89.609 89.585 89.609
( .56250, .56250) 96.239 96.250 96.227 96.249
( .62500, .56250) 103.662 103.672 103.650 103.671
( .68750, .56250) 111.866 111.875 111.856 111.875
( .75000, .56250) 120.852 120.859 120.844 120.859
( .81250, .56250) 130.619 130.625 130.613 130.625
( .87500, .56250) 141.168 141.172 141.164 141.172
( .93750, .56250) 152.498 152.500 152.496 152.500
( 1.00000, .56250) 164.609 164.609 164.609 164.609
( .00000, .62500) 63.438 63.438 63.438 63.438
( .06250, .62500) 63.826 63.828 63.823 63.828
( .12500, .62500) 64.996 65.000 64.990 64.999
( .18750, .62500) 66.948 66.953 66.940 66.952
( .25000, .62500) 69.680 69.687 69.671 69.686
( .31250, .62500) 73.195 73.203 73.184 73.202
( .37500, .62500) 77.491 77.500 77.479 77.499
( .43750, .62500) 82.568 82.578 82.556 82.577
( .50000, .62500) 88.427 88.438 88.415 88.437
( .56250, .62500) 95.068 95.078 95.057 95.078
( .62500, .62500) 102.491 102.500 102.480 102.500
( .68750, .62500) 110.695 110.703 110.686 110.703
( .75000, .62500) 119.680 119.688 119.673 119.687
( .81250, .62500) 129.448 129.453 129.442 129.453
( .87500, .62500) 139.996 140.000 139.992 140.000
( .93750, .62500) 151.326 151.328 151.324 151.328
( 1.00000, .62500) 163.438 163.438 163.438 163.438
( .00000, .68750) 61.484 61.484 61.484 61.484
( .06250, .68750) 61.873 61.875 61.871 61.875
( .12500, .68750) 63.044 63.047 63.038 63.046
( .18750, .68750) 64.995 65.000 64.988 64.999
( .25000, .68750) 67.728 67.734 67.719 67.734
( .31250, .68750) 71.243 71.250 71.233 71.249
( .37500, .68750) 75.539 75.547 75.528 75.546
( .43750, .68750) 80.616 80.625 80.605 80.624
( .50000, .68750) 86.476 86.484 86.465 86.484
( .56250, .68750) 93.116 93.125 93.106 93.125
( .62500, .68750) 100.539 100.547 100.529 100.547
( .68750, .68750) 108.743 108.750 108.735 108.750
( .75000, .68750) 117.728 117.734 117.722 117.734
( .81250, .68750) 127.495 127.500 127.490 127.500
( .87500, .68750) 138.044 138.047 138.040 138.047
( .93750, .68750) 149.373 149.375 149.372 149.375
( 1.00000, .68750) 161.484 161.484 161.484 161.484
( .00000, .75000) 58.750 58.750 58.750 58.750
( .06250, .75000) 59.139 59.141 59.137 59.140
( .12500, .75000) 60.310 60.313 60.305 60.312
( .18750, .75000) 62.262 62.266 62.256 62.265
( .25000, .75000) 64.995 65.000 64.987 64.999
( .31250, .75000) 68.510 68.516 68.501 68.515
( .37500, .75000) 72.806 72.812 72.797 72.812
( .43750, .75000) 77.884 77.891 77.874 77.890
( .50000, .75000) 83.743 83.750 83.734 83.750
( .56250, .75000) 90.384 90.391 90.375 90.390
( .62500, .75000) 97.806 97.812 97.798 97.812
( .68750, .75000) 106.010 106.016 106.003 106.015
( .75000, .75000) 114.995 115.000 114.989 115.000
( .81250, .75000) 124.762 124.766 124.757 124.766
( .87500, .75000) 135.310 135.312 135.307 135.312
( .93750, .75000) 146.639 146.641 146.638 146.641
( 1.00000, .75000) 158.750 158.750 158.750 158.750
( .00000, .81250) 55.234 55.234 55.234 55.234
( .06250, .81250) 55.624 55.625 55.622 55.625
( .12500, .81250) 56.795 56.797 56.791 56.797
( .18750, .81250) 58.747 58.750 58.742 58.750
( .25000, .81250) 61.481 61.484 61.475 61.484
( .31250, .81250) 64.996 65.000 64.989 65.000
( .37500, .81250) 69.292 69.297 69.285 69.297
( .43750, .81250) 74.370 74.375 74.362 74.375
( .50000, .81250) 80.229 80.234 80.222 80.234
( .56250, .81250) 86.870 86.875 86.863 86.875
( .62500, .81250) 94.292 94.297 94.286 94.297
( .68750, .81250) 102.496 102.500 102.490 102.500
( .75000, .81250) 111.481 111.484 111.476 111.484
( .81250, .81250) 121.247 121.250 121.244 121.250
( .87500, .81250) 131.795 131.797 131.793 131.797
( .93750, .81250) 143.124 143.125 143.123 143.125
( 1.00000, .81250) 155.234 155.234 155.234 155.234
( .00000, .87500) 50.938 50.938 50.938 50.938
( .06250, .87500) 51.327 51.328 51.326 51.328
( .12500, .87500) 52.499 52.500 52.496 52.500
( .18750, .87500) 54.451 54.453 54.448 54.453
( .25000, .87500) 57.185 57.188 57.181 57.187
( .31250, .87500) 60.700 60.703 60.696 60.703
( .37500, .87500) 64.997 65.000 64.992 65.000
( .43750, .87500) 70.075 70.078 70.070 70.078
( .50000, .87500) 75.934 75.938 75.929 75.937
( .56250, .87500) 82.575 82.578 82.570 82.578
( .62500, .87500) 89.997 90.000 89.992 90.000
( .68750, .87500) 98.200 98.203 98.196 98.203
( .75000, .87500) 107.185 107.187 107.182 107.187
( .81250, .87500) 116.951 116.953 116.949 116.953
( .87500, .87500) 127.499 127.500 127.497 127.500
( .93750, .87500) 138.827 138.828 138.827 138.828
( 1.00000, .87500) 150.938 150.938 150.938 150.938
( .00000, .93750) 45.859 45.859 45.859 45.859
( .06250, .93750) 46.250 46.250 46.249 46.250
( .12500, .93750) 47.421 47.422 47.420 47.422
( .18750, .93750) 49.374 49.375 49.372 49.375
( .25000, .93750) 52.108 52.109 52.106 52.109
( .31250, .93750) 55.624 55.625 55.621 55.625
( .37500, .93750) 59.920 59.922 59.918 59.922
( .43750, .93750) 64.998 65.000 64.996 65.000
( .50000, .93750) 70.858 70.859 70.855 70.859
( .56250, .93750) 77.498 77.500 77.496 77.500
( .62500, .93750) 84.920 84.922 84.918 84.922
( .68750, .93750) 93.124 93.125 93.122 93.125
( .75000, .93750) 102.108 102.109 102.107 102.109
( .81250, .93750) 111.874 111.875 111.873 111.875
( .87500, .93750) 122.421 122.422 122.420 122.422
( .93750, .93750) 133.750 133.750 133.749 133.750
( 1.00000, .93750) 145.859 145.859 145.859 145.859
( .00000, 1.00000) .000 .000 .000 .000
( .06250, 1.00000) 40.391 40.391 40.391 40.391
( .12500, 1.00000) 41.563 41.563 41.563 41.563
( .18750, 1.00000) 43.516 43.516 43.516 43.516
( .25000, 1.00000) 46.250 46.250 46.250 46.250
( .31250, 1.00000) 49.766 49.766 49.766 49.766
( .37500, 1.00000) 54.063 54.063 54.063 54.063
( .43750, 1.00000) 59.141 59.141 59.141 59.141
( .50000, 1.00000) 65.000 65.000 65.000 65.000
( .56250, 1.00000) 71.641 71.641 71.641 71.641
( .62500, 1.00000) 79.063 79.063 79.063 79.063
( .68750, 1.00000) 87.266 87.266 87.266 87.266
( .75000, 1.00000) 96.250 96.250 96.250 96.250
( .81250, 1.00000) 106.016 106.016 106.016 106.016
( .87500, 1.00000) 116.563 116.563 116.563 116.563
( .93750, 1.00000) 127.891 127.891 127.891 127.891
( 1.00000, 1.00000) .000 .000 .000 .000
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