function themesh = givenMeshes(stepsize)
% This function collects three meshes of the unit square
%    for three different step sizes.
% Author: E.Darrigrand
% Date: 4/12/2014
%
% usage: myMesh = givenMeshes(stepsize)
%
% input:
%    stepsize : 0.5, 0.25 or 0.125
%
% output:
%   myMesh : mesh
%
if (abs(stepsize-0.5) < 0.00001)
triangles = [
                 6      7      5
                 3      4      2
                 1      2     14
                 17     12      1
                 17     11     12
                 1     14     17
                 10      8      9
                 13      7      8
                 18      5     13
                 13      5      7
                 16      2      4
                 16     14      2
                 18     14     16
                 4      5     16
                 16      5     18
                 15     14     18
                 15     17     14
                 18     13     15
                 15     10     11
                 11     17     15
                 8     10     15
                 15     13      8
                 ];

coords = [
              0.3333333333333333   0.0000000000000000 
              0.6666666666666666   0.0000000000000000 
              1.0000000000000000   0.0000000000000000 
              1.0000000000000000   0.3333333333333333 
              1.0000000000000000   0.6666666666666666 
              1.0000000000000000   1.0000000000000000 
              0.6666666666666666   1.0000000000000000 
              0.3333333333333333   1.0000000000000000 
              0.0000000000000000   1.0000000000000000 
              0.0000000000000000   0.6666666666666666 
              0.0000000000000000   0.3333333333333333 
              0.0000000000000000   0.0000000000000000 
              0.5555555555555555   0.7777777777777777 
              0.5185185185185184   0.2592592592592592 
              0.3580246913580246   0.5679012345679011 
              0.8395061728395060   0.4197530864197530 
              0.2839506172839505   0.1975308641975309 
              0.5843621399176954   0.5884773662551439 
              ];

else if (abs(stepsize-0.25) < 0.00001)


triangles = [
                  37     45     56
                  27     28      1
                  53     27      1
                  59     27     53
                  18     34     17
                  15     13     14
                  12     31     11
                  13     31     12
                  11     31     58
                  58     10     11
                  30     10     58
                  5      6     44
                  56      5     44
                  44     37     56
                  44      6      7
                  56     45      4
                  45      3      4
                  4      5     56
                  50     60     57
                  2     53      1
                  41      3     45
                  45     40     41
                  41      2      3
                  53      2     41
                  39     55     46
                  49     36     43
                  43     36     34
                  51     31     13
                  13     15     51
                  51     15     16
                  34     36     42
                  42     47     34
                  57     47     42
                  31     47     48
                  48     58     31
                  30     58     48
                  8     44      7
                  30     37     52
                  37     44     52
                  60     50     32
                  30     60     32
                  32     37     30
                  45     37     32
                  32     40     45
                  32     50     40
                  59     53     33
                  53     41     33
                  33     55     59
                  33     46     55
                  33     41     40
                  40     46     33
                  25     55     39
                  39     24     25
                  34     18     19
                  19     43     34
                  49     43     20
                  43     19     20
                  38     16     17
                  38     51     16
                  17     34     38
                  34     47     38
                  38     47     31
                  31     51     38
                  36     46     29
                  29     42     36
                  57     42     29
                  29     50     57
                  40     50     29
                  29     46     40
                  35     47     57
                  35     48     47
                  57     60     35
                  35     60     30
                  30     48     35
                  9     10     30
                  30     52      9
                  44      8      9
                  9     52     44
                  59     55     26
                  55     25     26
                  26     27     59
                  54     36     49
                  49     23     54
                  39     46     54
                  54     46     36
                  54     23     24
                  54     24     39
                  22     23     49
                  22     20     21
                  49     20     22
                  ];


coords = [
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               0.2857142857142857   0.0000000000000000 
               0.4285714285714285   0.0000000000000000 
               0.5714285714285714   0.0000000000000000 
               0.7142857142857143   0.0000000000000000 
               0.8571428571428571   0.0000000000000000 
               1.0000000000000000   0.0000000000000000 
               1.0000000000000000   0.1428571428571428 
               1.0000000000000000   0.2857142857142857 
               1.0000000000000000   0.4285714285714285 
               1.0000000000000000   0.5714285714285714 
               1.0000000000000000   0.7142857142857143 
               1.0000000000000000   0.8571428571428571 
               1.0000000000000000   1.0000000000000000 
               0.8571428571428571   1.0000000000000000 
               0.7142857142857143   1.0000000000000000 
               0.5714285714285714   1.0000000000000000 
               0.4285714285714285   1.0000000000000000 
               0.2857142857142857   1.0000000000000000 
               0.1428571428571428   1.0000000000000000 
               0.0000000000000000   1.0000000000000000 
               0.0000000000000000   0.8571428571428571 
               0.0000000000000000   0.7142857142857143 
               0.0000000000000000   0.5714285714285714 
               0.0000000000000000   0.4285714285714285 
               0.0000000000000000   0.2857142857142857 
               0.0000000000000000   0.1428571428571428 
               0.0000000000000000   0.0000000000000000 
               0.3809523809523809   0.5238095238095237 
               0.7936507936507936   0.4126984126984126 
               0.8359788359788359   0.7089947089947090 
               0.5820105820105820   0.3121693121693121 
               0.2222222222222222   0.2698412698412698 
               0.4603174603174603   0.8412698412698412 
               0.6701940035273367   0.5485008818342150 
               0.2804232804232804   0.6931216931216930 
               0.6966490299823632   0.2416225749559082 
               0.6701940035273368   0.8500881834215167 
               0.1269841269841270   0.5079365079365079 
               0.3950617283950617   0.3686067019400352 
               0.3486184597295708   0.2128159905937683 
               0.5038212815990593   0.6378600823045266 
               0.2363315696649029   0.8977072310405643 
               0.8512639623750734   0.1281599059376837 
               0.5006858710562413   0.1749951009210268 
               0.3009994121105232   0.4667842445620223 
               0.6147364295512443   0.6788163825200861 
               0.7666078777189888   0.5567313345091122 
               0.0787771898883010   0.8230452674897119 
               0.4526748971193415   0.4015285126396236 
               0.7877718988830100   0.8530276308054084 
               0.7805212620027434   0.2608269645306681 
               0.2169312169312169   0.0899470899470899 
               0.1358024691358024   0.6384479717813051 
               0.1164021164021164   0.4021164021164021 
               0.6607877718988828   0.0805408583186361 
               0.5422300607485792   0.5292964922594550 
               0.8534195571232607   0.5136194395453654 
               0.0740740740740741   0.2328042328042328 
               0.5981448820954993   0.4633222287543273 
];


else 

triangles = [
                   151     60      1
                   205     23    158
                   22     23    205
                   102    202    209
                   47    185     46
                   45     46     44
                   44     46    185
                   137     53     54
                   128    212    124
                   34     95    184
                   126    139    184
                   184     95    126
                   35     95     34
                   205    158     91
                   85    119    141
                   110     22    205
                   133     18    209
                   209    202    133
                   133    202     16
                   13    102     12
                   202    102     13
                   173      8    130
                   12    102    186
                   160    167    217
                   167     73     90
                   127     74    150
                   146    102    209
                   18     19    215
                   215     19     20
                   165     44    185
                   114    165    185
                   104    165    114
                   60    151     59
                   151     58     59
                   113      8    173
                   157     29     30
                   216     29    157
                   157     32    139
                   75    139    126
                   126    128     75
                   75    157    139
                   216    157     75
                   75    128    124
                   24    158     23
                   24     25    158
                   26     27    124
                   104    114    176
                   176    114     67
                   37    196     36
                   34    184     33
                   139     32     33
                   33    184    139
                   162     35     36
                   36    196    162
                   95     35    162
                   122     74     94
                   82    134     85
                   85    141     82
                   101    134     82
                   109    132    131
                   101     82    131
                   131     82    141
                   22    110     21
                   17    133     16
                   18    133     17
                   202     13     14
                   15     16     14
                   16    202     14
                   9    130      8
                   12    186     11
                   10     11    156
                   156     11    186
                   217    167    144
                   167     90    144
                   167    160     96
                   96    160     94
                   94     61     96
                   210    115    169
                   74    127    149
                   94     74    149
                   149     61     94
                   89    215    214
                   89    146    209
                   209     18     89
                   18    215     89
                   213    135     65
                   217    144     65
                   199     21    110
                   120    199     79
                   213     65     79
                   79     65    120
                   44    165     43
                   104     42     43
                   43    165    104
                   198     53    137
                   56     57    161
                   161    136     56
                   56    136     55
                   140     73    167
                   99    211    155
                   28     29    216
                   31    157     30
                   32    157     31
                   25     26    207
                   207     26    124
                   124    212    207
                   158     25    207
                   85    134    142
                   138    176     67
                   138     67     88
                   88     87    138
                   201     87     88
                   182     37     38
                   182    142    134
                   196     37    182
                   182    134    101
                   101    196    182
                   117    196    101
                   117    162    196
                   95    162    117
                   179    129     91
                   206    122     94
                   135    122    206
                   94    160    206
                   206     65    135
                   206    160    217
                   217     65    206
                   121    153     74
                   74    122    121
                   218    153    109
                   150     74    218
                   74    153    218
                   141    180    219
                   109    131    219
                   219    131    141
                   87    201    172
                   119    138     69
                   69    138     87
                   69    141    119
                   69    180    141
                   87    172     69
                   69    172    180
                   152     83    126
                   126     95    152
                   95    117    152
                   152    117    190
                   109    153     81
                   81    132    109
                   153    121     81
                   125    132     81
                   81    121    125
                   116    152    190
                   83    152    116
                   62    131    132
                   62    116    190
                   132    116     62
                   101    131     62
                   62    117    101
                   190    117     62
                   173    130    145
                   145     73    173
                   10    156    145
                   145      9     10
                   130      9    145
                   70    156    186
                   70    186    102
                   70    146    171
                   102    146     70
                   164    199    120
                   120     65    164
                   164     65    144
                   98     90    171
                   98    144     90
                   214    164     98
                   98    164    144
                   161    108    181
                   181    136    161
                   211    103    177
                   177    198    137
                   103    198    177
                   63    201    115
                   63    172    201
                   63    127    150
                   80    178     99
                   84    215     20
                   214    215     84
                   20     21     84
                   21    199     84
                   84    164    214
                   199    164     84
                   91    129    175
                   213     79    175
                   148    199    110
                   148     79    199
                   148    110    205
                   205     91    148
                   91    175    148
                   148    175     79
                   220     51     52
                   53    198     52
                   52    198    220
                   159    105    169
                   169    115    159
                   159    201     88
                   115    201    159
                   220    198     71
                   71    105    220
                   169    105     71
                   71    103    169
                   71    198    103
                   166    185     47
                   166    114    185
                   67    114    166
                   88     67    106
                   67    166    106
                   106    166    204
                   163      4      5
                   8    113      7
                   2    151      1
                   2    208    151
                   147      4    163
                   151    208    111
                   208    147    111
                   187     96     61
                   167     96    187
                   187    140    167
                   27     28    189
                   124     27    189
                   189     75    124
                   216     75    189
                   189     28    216
                   40    142     39
                   39    182     38
                   142    182     39
                   100    119     85
                   85    142    100
                   100    138    119
                   176    138    100
                   203     41     42
                   203     42    104
                   104    176    203
                   176    100    203
                   40     41    203
                   203    142     40
                   203    100    142
                   93    179     91
                   93     91    158
                   158    207     93
                   93    207    212
                   212    179     93
                   125    121     64
                   64    121    122
                   64    122    135
                   64    129    125
                   64    175    129
                   64    135    213
                   213    175     64
                   180    172     92
                   92    219    180
                   172     63     92
                   92    218    109
                   109    219     92
                   150    218     92
                   92     63    150
                   193    132    125
                   193    116    132
                   125    129    193
                   73    145    174
                   174    145    156
                   156     70    174
                   174     90     73
                   171     90    174
                   174     70    171
                   197     89    214
                   214     98    197
                   146     89    197
                   171    146    197
                   197     98    171
                   154     77    155
                   66    155    211
                   211    177     66
                   66    154    155
                   136    181     66
                   66    177    136
                   66    181    108
                   108    154     66
                   55    136    123
                   136    177    123
                   123     54     55
                   137     54    123
                   123    177    137
                   78    178    210
                   169    103     78
                   78    210    169
                   115    210    168
                   168     63    115
                   210    178    168
                   178     80    168
                   127     63    168
                   168     80    127
                   48    166     47
                   48     49    204
                   204    166     48
                   170    106    204
                   170     49     50
                   204     49    170
                   220    105    170
                   88    106    170
                   50     51    170
                   170     51    220
                   170    159     88
                   105    159    170
                   192      5      6
                   163      5    192
                   6      7    192
                   192      7    113
                   208      2      3
                   4    147      3
                   3    147    208
                   151    111     86
                   86     58    151
                   86    108    161
                   86    111    108
                   86     57     58
                   161     57     86
                   99    155    188
                   155     77    188
                   143    187     61
                   76    147    163
                   76    111    147
                   191    179    212
                   212    128    191
                   191    128    126
                   126     83    191
                   83    116     68
                   116    193     68
                   68    191     83
                   179    191     68
                   129    179     68
                   68    193    129
                   195    103    211
                   195     78    103
                   178     78    195
                   195    211     99
                   99    178    195
                   107     80     99
                   99    188    107
                   107    149    127
                   127     80    107
                   97    113    173
                   140    187     97
                   187    143     97
                   173     73     97
                   73    140     97
                   163    192    200
                   200     76    163
                   77    154    194
                   194    154    108
                   108    111    194
                   111     76    194
                   149    107    118
                   61    149    118
                   118    143     61
                   118    107    188
                   118    188     77
                   77    143    118
                   72    192    113
                   72    200    192
                   76    200    183
                   77    194    183
                   183    194     76
                   200     72    183
                   113     97    112
                   112     72    113
                   112    183     72
                   112     97    143
                   112    143     77
                   77    183    112
];


coords = [
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                0.1333333333333333   0.0000000000000000 
                0.2000000000000000   0.0000000000000000 
                0.2666666666666667   0.0000000000000000 
                0.3333333333333333   0.0000000000000000 
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                0.8255347253975511   0.1537570492303002 
                0.2485596707818930   0.0469135802469136 
                0.8654473403444596   0.4980338363054411 
                0.4599637589120898   0.4042574810750393 
                0.4548188792358887   0.5388812680993750 
                0.0532235939643347   0.0748971193415638 
                0.7110603058476856   0.8258802011888431 
                0.5504784162305880   0.5624345882233397 
                0.2171925011431184   0.2587105624142661 
                0.2241833053904384   0.3218716659045877 
                0.6803671527036866   0.0652847635014987 
                0.9268709038256363   0.9612254229538181 
                0.9516537113244932   0.5724737082761773 
                0.1901200697725617   0.6114718284814306 
                0.6301918745448695   0.3669765787735608 
                0.0551440329218107   0.2222222222222222 
                0.6280207962878286   0.9523345018543919 
                0.2869684499314129   0.0625514403292181 
                0.8311876577080051   0.3312503175328963 
                0.1198292943148910   0.9307727480566986 
                0.0832427306135582   0.7976121526190113 
                0.6180573196272021   0.2544192111636098 
                0.3233280834561126   0.5322257785906619 
                0.1743015687536339   0.5344137919355112 
                0.0792731460312621   0.6648173550779860 
                0.7589866043455435   0.1675455977239241 
                0.3470812376162170   0.6580704160951073 
                0.5593185320665888   0.1027790479093634 
                0.6826037133002534   0.1154972988534945 
                0.7467459228776101   0.5318701417466848 
                0.2139240291960914   0.8664736066656504 
                0.0915510846923741   0.4053650358177107 
                0.2864299141391047   0.4404816338972717 
                0.8283594980439972   0.6461515012955341 
                0.4274348422496570   0.7029924300157494 
                0.0968449931412894   0.2806584362139917 
                0.4820030821859811   0.9642026113905399 
                0.3321173940286880   0.1977340852512320 
                0.7868414367728496   0.9580856576741349 
                0.0399430981049637   0.9102575826855661 
                0.7622313671696387   0.0425240054869684 
                0.5483321761023330   0.2917610797811986 
                0.3317188549622629   0.3292350420836931 
                0.9583904892546867   0.8392318244170096 
                0.6378804044098967   0.8202204948432656 
                0.7806815808339964   0.7497806906128807 
                0.3802469135802469   0.0370370370370370 
                0.7118833511151754   0.6814509983234261 
                0.2248437738149672   0.2009144947416552 
                0.2236955748615556   0.4327998780673677 
                0.5717037262838207   0.9405510677572861 
                0.8279022506731697   0.2154244779759182 
                0.0581415434639028   0.4745922877610121 
                0.8860539551897576   0.3879286694101508 
                0.3244627343392775   0.1048010973936900 
                0.2564581957357448   0.6427577096987247 
                0.9150908567460921   0.0350353096580806 
                0.2942166675134210   0.9597520703144845 
                0.0710878535905209   0.7538349506342189 
                0.9174820911446426   0.5048925468678553 
                0.6288483575787339   0.4143948246371656 
                0.9289166624328946   0.6951277752375145 
                0.1634811766499009   0.0401463191586648 
                0.8895053260851157   0.1462683534014123 
                0.2650928325063364   0.5231688936307134 
                0.2043760266896983   0.3963216989280089 
                0.8767373988834131   0.7366322884384153 
                0.7443343663736895   0.4913072194279325 
                0.8758432262471280   0.2924012261003572 
                0.9210896411831229   0.2591497456914313 
                0.9617537976934409   0.9112635269013870 
                0.6962646841323871   0.3474707446358108 
                0.4829728982144771   0.5767074802282848 
                0.4771528730376466   0.7134549272637976 
                0.0359328693119274   0.5768531219834374 
                ];
if (abs(stepsize-0.125) > 0.00001)
printf('WARNING -- givenMeshes function: There is no mesh for the given stepsize;\n')
printf('WARNING -- givenMeshes function: The result corresponds to stepsize = 0.125.\n')
%warning('In givenMeshes function -- There is no mesh for the given stepsize;')
%warning('In givenMeshes function -- The result corresponds to stepsize = 0.125.')
endif
endif
endif

themesh = mesh_new(' ',coords,triangles);

end

