17 September 2021 9:31:14.874 AM FEM2D_PACK_TEST FORTRAN90 version Test the FEM2D_PACK library. TEST01 BANDWIDTH_MESH computes the geometric bandwidth: of a finite element mesh. NELEMX = 2 NELEMY = 6 ELEMENT_ORDER = 6 ELEMENT_NUM = 24 GRID_PRINT: Element -> Node table. Number of elements = 24 Element order = 6 # 1 2 3 4 5 6 1 1 3 11 2 7 6 2 13 11 3 12 7 8 3 3 5 13 4 9 8 4 15 13 5 14 9 10 5 11 13 21 12 17 16 6 23 21 13 22 17 18 7 13 15 23 14 19 18 8 25 23 15 24 19 20 9 21 23 31 22 27 26 10 33 31 23 32 27 28 11 23 25 33 24 29 28 12 35 33 25 34 29 30 13 31 33 41 32 37 36 14 43 41 33 42 37 38 15 33 35 43 34 39 38 16 45 43 35 44 39 40 17 41 43 51 42 47 46 18 53 51 43 52 47 48 19 43 45 53 44 49 48 20 55 53 45 54 49 50 21 51 53 61 52 57 56 22 63 61 53 62 57 58 23 53 55 63 54 59 58 24 65 63 55 64 59 60 Lower bandwidth ML = 10 Upper bandwidth MU = 10 Total bandwidth M = 21 TEST02 For the Navier Stokes variables associated with a mesh of T6 elements, NS_T6_VAR_COUNT counts variables, NS_T6_VAR_SET sets them, BANDWIDTH_VAR computes the variable bandwidth. NELEMX = 2 NELEMY = 6 ELEMENT_ORDER = 6 ELEMENT_NUM = 24 NODE_NUM = 65 GRID_PRINT: Element -> Node table. Number of elements = 24 Element order = 6 # 1 2 3 4 5 6 1 1 3 11 2 7 6 2 13 11 3 12 7 8 3 3 5 13 4 9 8 4 15 13 5 14 9 10 5 11 13 21 12 17 16 6 23 21 13 22 17 18 7 13 15 23 14 19 18 8 25 23 15 24 19 20 9 21 23 31 22 27 26 10 33 31 23 32 27 28 11 23 25 33 24 29 28 12 35 33 25 34 29 30 13 31 33 41 32 37 36 14 43 41 33 42 37 38 15 33 35 43 34 39 38 16 45 43 35 44 39 40 17 41 43 51 42 47 46 18 53 51 43 52 47 48 19 43 45 53 44 49 48 20 55 53 45 54 49 50 21 51 53 61 52 57 56 22 63 61 53 62 57 58 23 53 55 63 54 59 58 24 65 63 55 64 59 60 Number of variables VAR_NUM = 151 VAR_NODE pointer vector: 1 1 2 4 3 6 4 9 5 11 6 14 7 16 8 18 9 20 10 22 11 24 12 27 13 29 14 32 15 34 16 37 17 39 18 41 19 43 20 45 21 47 22 50 23 52 24 55 25 57 26 60 27 62 28 64 29 66 30 68 31 70 32 73 33 75 34 78 35 80 36 83 37 85 38 87 39 89 40 91 41 93 42 96 43 98 44 101 45 103 46 106 47 108 48 110 49 112 50 114 51 116 52 119 53 121 54 124 55 126 56 129 57 131 58 133 59 135 60 137 61 139 62 142 63 144 64 147 65 149 66 152 Node U_Var V_Var P_Var 1 1 2 3 2 4 5 3 6 7 8 4 9 10 5 11 12 13 6 14 15 7 16 17 8 18 19 9 20 21 10 22 23 11 24 25 26 12 27 28 13 29 30 31 14 32 33 15 34 35 36 16 37 38 17 39 40 18 41 42 19 43 44 20 45 46 21 47 48 49 22 50 51 23 52 53 54 24 55 56 25 57 58 59 26 60 61 27 62 63 28 64 65 29 66 67 30 68 69 31 70 71 72 32 73 74 33 75 76 77 34 78 79 35 80 81 82 36 83 84 37 85 86 38 87 88 39 89 90 40 91 92 41 93 94 95 42 96 97 43 98 99 100 44 101 102 45 103 104 105 46 106 107 47 108 109 48 110 111 49 112 113 50 114 115 51 116 117 118 52 119 120 53 121 122 123 54 124 125 55 126 127 128 56 129 130 57 131 132 58 133 134 59 135 136 60 137 138 61 139 140 141 62 142 143 63 144 145 146 64 147 148 65 149 150 151 Lower bandwidth ML = 25 Upper bandwidth MU = 25 Total bandwidth M = 51 TEST03 Test the computation of ONE basis function at ONE point in a given element: BASIS_11_Q4_TEST : Q4 element. BASIS_11_T3_TEST : T3 element. BASIS_11_T4_TEST : T4 element. BASIS_11_T6_TEST : T6 element. BASIS_11_Q4_TEST: Verify basis functions for element Q4. Number of nodes = 4 Physical Nodes: 1 2.000 1.000 2 3.000 1.000 3 3.000 4.000 4 2.000 4.000 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_11_T3_TEST: Verify basis functions for element T3. Number of nodes = 3 Physical Nodes: 1 2.000 0.000 2 4.000 3.000 3 0.000 4.000 The basis function values at basis nodes should form the identity matrix. 1.000 -0.000 0.000 0.000 1.000 0.000 0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_11_T4_TEST: Verify basis functions for element T4. Number of nodes = 4 Physical Nodes: 1 2.000 0.000 2 4.000 3.000 3 0.000 4.000 4 2.000 2.333 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 -0.000 0.000 1.000 0.000 -0.000 0.000 0.000 1.000 -0.000 0.000 -0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_11_T6_TEST: Verify basis functions for element T6. Number of nodes = 6 Physical Nodes: 1 2.000 0.000 2 4.000 3.000 3 0.000 4.000 4 3.000 1.500 5 2.000 3.500 6 1.000 2.000 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 -0.000 0.000 -0.000 0.000 1.000 -0.000 -0.000 0.000 0.000 0.000 0.000 1.000 0.000 -0.000 -0.000 0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 0.000 0.000 1.000 -0.000 -0.000 -0.000 -0.000 -0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 TEST04 Test the computation of all M basis functions at N points in a given element: BASIS_MN_Q4_TEST : Q4 element. BASIS_MN_T3_TEST : T3 element. BASIS_MN_T4_TEST : T4 element. BASIS_MN_T6_TEST : T6 element. BASIS_MN_Q4_TEST: Verify basis functions for element Q4. Number of nodes = 4 Physical Nodes: I X Y 1 3.000 1.000 2 5.000 1.000 3 5.000 4.000 4 3.000 4.000 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_MN_T3_TEST: Verify basis functions for element T3. Number of nodes = 3 Physical Nodes: 1 2.000 0.000 2 4.000 3.000 3 0.000 4.000 The basis function values at basis nodes should form the identity matrix. 1.000 -0.000 0.000 0.000 1.000 0.000 0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_MN_T4_TEST: Verify basis functions for element T4. Number of nodes = 4 Physical Nodes: 1 2.000 0.000 2 4.000 2.000 3 0.000 4.000 4 2.000 2.000 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 -0.000 0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 BASIS_MN_T6_TEST: Verify basis functions for element T6. Number of nodes = 6 Physical Nodes: 1 2.000 0.000 2 4.000 3.000 3 0.000 4.000 4 3.000 1.500 5 2.000 3.500 6 1.000 2.000 The basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 1.000 -0.000 -0.000 0.000 -0.000 -0.000 -0.000 1.000 -0.000 -0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 The X and Y derivatives should sum to 0. dPhidX sum dPhidY sum 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 TEST05 DERIVATIVE_AVERAGE_T3 averages the spatial derivatives of a finite element function at the nodes. C X Y dCdX(computed) dCdY(computed) dCdX(exact) dCdY(exact) -0.974455 -0.707107 0.707107 1.39674 -1.01032 0.380122 -0.918725 -0.870980 -0.532032 0.846724 1.48843 -1.18887 0.617845 -0.859062 -0.613237 -0.330279 0.943883 1.90248 -0.994043 0.842763 -0.612216 -0.222061 -0.111964 0.993712 2.18775 -0.531485 0.981281 -0.222056 0.222061 0.111964 0.993712 2.26195 0.921847E-01 0.981281 0.222056 0.613237 0.330279 0.943883 2.10200 0.691453 0.842763 0.612216 0.870980 0.532032 0.846724 1.75890 1.09321 0.617845 0.859062 0.974455 0.707107 0.707107 1.35468 1.26448 0.380122 0.918725 -1.65528 -0.989949 0.989949 1.34807 -1.35849 0.537757 -1.65519 -1.63039 -0.744845 1.18541 1.64942 -1.55349 1.03310 -1.60708 -1.22505 -0.462391 1.32144 2.32230 -1.19767 1.56282 -1.17896 -0.458247 -0.156750 1.39120 2.79894 -0.521349 1.91170 -0.434357 0.458247 0.156750 1.39120 2.87045 0.309438 1.91170 0.434357 1.22505 0.462391 1.32144 2.49440 1.05726 1.56282 1.17896 1.63039 0.744845 1.18541 1.83501 1.52131 1.03310 1.60708 1.65528 0.989949 0.989949 1.28447 1.80842 0.537757 1.65519 -2.50452 -1.27279 1.27279 1.23425 -2.07054 0.475653 -2.43339 -2.71761 -0.957658 1.52410 1.76251 -2.34053 1.33668 -2.49296 -2.17685 -0.594502 1.69899 2.98059 -1.85554 2.39131 -1.90320 -0.840610 -0.201536 1.78868 3.88696 -0.798321 3.13463 -0.716097 0.840610 0.201536 1.78868 4.00638 0.538901 3.13463 0.716097 2.17685 0.594502 1.69899 3.25110 1.70549 2.39131 1.90320 2.71761 0.957658 1.52410 2.01608 2.34581 1.33668 2.49296 2.50452 1.27279 1.27279 1.04284 2.62932 0.475653 2.43339 -3.41961 -1.55563 1.55563 0.767728 -2.75806 0.366892E-01 -3.11091 -4.11657 -1.17047 1.86279 1.60734 -3.14476 1.35232 -3.43102 -3.52901 -0.726614 2.07654 3.61086 -2.60056 3.22293 -2.75907 -1.40922 -0.246322 2.18617 5.18559 -1.12236 4.63507 -1.06614 1.40922 0.246322 2.18617 5.37236 0.824541 4.63507 1.06614 3.52901 0.726614 2.07654 4.00804 2.46006 3.22293 2.75907 4.11657 1.17047 1.86279 1.92494 3.21373 1.35232 3.43102 3.41961 1.55563 1.55563 0.393346 3.40174 0.366892E-01 3.11091 -4.22401 -1.83848 1.83848 -0.182544 -3.31902 -0.893997 -3.54601 -5.74404 -1.38328 2.20148 1.04988 -3.87605 0.903470 -4.32579 -5.31617 -0.858726 2.45410 4.10698 -3.39317 3.93518 -3.71555 -2.20290 -0.291108 2.58365 6.65711 -1.48567 6.39441 -1.48309 2.20290 0.291108 2.58365 6.93371 1.15989 6.39441 1.48309 5.31617 0.858726 2.45410 4.65653 3.28200 3.93518 3.71555 5.74404 1.38328 2.20148 1.41311 4.03231 0.903470 4.32579 4.22401 1.83848 1.83848 -0.781344 4.01043 -0.893997 3.54601 -4.68738 -2.12132 2.12132 -0.979517 -4.16336 -2.35410 -3.61579 -7.45009 -1.59610 2.54017 1.31985 -4.70877 -0.163230 -5.07872 -7.54362 -0.990837 2.83165 5.19818 -3.55094 4.39391 -4.73727 -3.25894 -0.335893 2.98114 8.07962 -0.704037 8.39053 -1.96524 3.25894 0.335893 2.98114 7.64866 2.29827 8.39053 1.96524 7.54362 0.990837 2.83165 4.05944 4.02992 4.39391 4.73727 7.45009 1.59610 2.54017 -0.146622E-02 4.17763 -0.163230 5.07872 4.68738 2.12132 2.12132 -2.19954 3.83778 -2.35410 3.61579 TEST06 DIV_Q4 estimates divergence and vorticity using 4 node quadrilateral elements. Original U, V data forms 21 rows and 13 columns. Some of X: Col 5 6 7 8 Row 5 0.333333 0.416667 0.500000 0.583333 6 0.333333 0.416667 0.500000 0.583333 7 0.333333 0.416667 0.500000 0.583333 8 0.333333 0.416667 0.500000 0.583333 Some of Y: Col 5 6 7 8 Row 5 0.200000 0.200000 0.200000 0.200000 6 0.250000 0.250000 0.250000 0.250000 7 0.300000 0.300000 0.300000 0.300000 8 0.350000 0.350000 0.350000 0.350000 Some of U: Col 5 6 7 8 Row 5 0.666667E-01 0.833333E-01 0.100000 0.116667 6 0.833333E-01 0.104167 0.125000 0.145833 7 0.100000 0.125000 0.150000 0.175000 8 0.116667 0.145833 0.175000 0.204167 Some of V: Col 5 6 7 8 Row 5 0.150537 0.211990 0.285952 0.371178 6 0.172740 0.233923 0.307439 0.391975 7 0.199758 0.260569 0.333487 0.417123 8 0.231492 0.291803 0.363945 0.446435 Some of XM: Col 5 6 7 8 Row 5 0.375000 0.458333 0.541667 0.625000 6 0.375000 0.458333 0.541667 0.625000 7 0.375000 0.458333 0.541667 0.625000 8 0.375000 0.458333 0.541667 0.625000 Some of YM: Col 5 6 7 8 Row 5 0.225000 0.225000 0.225000 0.225000 6 0.275000 0.275000 0.275000 0.275000 7 0.325000 0.325000 0.325000 0.325000 8 0.375000 0.375000 0.375000 0.375000 I J XM YM DIV(I,J) Exact DIV Diff 5 5 0.3750 0.2250 0.666367 0.666795 -0.428112E-03 5 6 0.4583 0.2250 0.659194 0.659795 -0.601135E-03 5 7 0.5417 0.2250 0.647832 0.648632 -0.799601E-03 5 8 0.6250 0.2250 0.630884 0.631898 -0.101461E-02 6 5 0.3750 0.2750 0.811631 0.812190 -0.559190E-03 6 6 0.4583 0.2750 0.801938 0.802706 -0.768653E-03 6 7 0.5417 0.2750 0.786965 0.787973 -0.100801E-02 6 8 0.6250 0.2750 0.765027 0.766293 -0.126600E-02 7 5 0.3750 0.3250 0.954681 0.955392 -0.711187E-03 7 6 0.4583 0.3250 0.941922 0.942878 -0.955650E-03 7 7 0.5417 0.3250 0.922702 0.923935 -0.123371E-02 7 8 0.6250 0.3250 0.895062 0.896593 -0.153152E-02 8 5 0.3750 0.3750 1.09464 1.09553 -0.887236E-03 8 6 0.4583 0.3750 1.07819 1.07935 -0.116479E-02 8 7 0.5417 0.3750 1.05398 1.05546 -0.147871E-02 8 8 0.6250 0.3750 1.01982 1.02163 -0.181234E-02 I J XM YM VORT(I,J) Exact Vort Diff 5 5 0.3750 0.2250 0.360821 0.361326 -0.505013E-03 5 6 0.4583 0.2250 0.426529 0.427360 -0.831524E-03 5 7 0.5417 0.2250 0.476911 0.478187 -0.127602E-02 5 8 0.6250 0.2250 0.503428 0.505273 -0.184538E-02 6 5 0.3750 0.2750 0.356961 0.357532 -0.570364E-03 6 6 0.4583 0.2750 0.420268 0.421177 -0.909155E-03 6 7 0.5417 0.2750 0.467371 0.468735 -0.136362E-02 6 8 0.6250 0.2750 0.489636 0.491575 -0.193940E-02 7 5 0.3750 0.3250 0.351727 0.352375 -0.647974E-03 7 6 0.4583 0.3250 0.412032 0.413033 -0.100102E-02 7 7 0.5417 0.3250 0.455092 0.456559 -0.146680E-02 7 8 0.6250 0.3250 0.472168 0.474218 -0.204945E-02 8 5 0.3750 0.3750 0.344795 0.345532 -0.737248E-03 8 6 0.4583 0.3750 0.401434 0.402540 -0.110623E-02 8 7 0.5417 0.3750 0.439635 0.441219 -0.158429E-02 8 8 0.6250 0.3750 0.450544 0.452718 -0.217380E-02 TEST065 DIV_T3 estimates divergence and vorticity using 3 node triangular elements. Original U, V data forms 21 rows and 13 columns. Some of X: Col 5 6 7 8 Row 5 0.200000 0.200000 0.200000 0.200000 6 0.250000 0.250000 0.250000 0.250000 7 0.300000 0.300000 0.300000 0.300000 8 0.350000 0.350000 0.350000 0.350000 Some of Y: Col 5 6 7 8 Row 5 0.333333 0.416667 0.500000 0.583333 6 0.333333 0.416667 0.500000 0.583333 7 0.333333 0.416667 0.500000 0.583333 8 0.333333 0.416667 0.500000 0.583333 Some of U: Col 5 6 7 8 Row 5 0.666667E-01 0.833333E-01 0.100000 0.116667 6 0.833333E-01 0.104167 0.125000 0.145833 7 0.100000 0.125000 0.150000 0.175000 8 0.116667 0.145833 0.175000 0.204167 Some of V: Col 5 6 7 8 Row 5 0.150537 0.211990 0.285952 0.371178 6 0.172740 0.233923 0.307439 0.391975 7 0.199758 0.260569 0.333487 0.417123 8 0.231492 0.291803 0.363945 0.446435 I J X Y DIV(I,J) Exact DIV Diff 5 5 0.2167 0.3889 1.06753 1.15144 -0.839123E-01 5 5 0.2333 0.3611 1.15411 1.07103 0.830803E-01 5 6 0.2167 0.4722 1.29885 1.38247 -0.836180E-01 5 6 0.2333 0.4444 1.38754 1.30526 0.822791E-01 5 7 0.2167 0.5556 1.51444 1.59716 -0.827164E-01 5 7 0.2333 0.5278 1.60605 1.52535 0.806981E-01 5 8 0.2167 0.6389 1.70573 1.78660 -0.808692E-01 5 8 0.2333 0.6111 1.80113 1.72314 0.779911E-01 6 5 0.2667 0.3889 1.06306 1.14752 -0.844614E-01 6 5 0.2833 0.3611 1.15086 1.06736 0.834997E-01 6 6 0.2667 0.4722 1.29169 1.37611 -0.844256E-01 6 6 0.2833 0.4444 1.38218 1.29925 0.829290E-01 6 7 0.2667 0.5556 1.50363 1.58751 -0.838727E-01 6 7 0.2833 0.5278 1.59778 1.51610 0.816709E-01 6 8 0.2667 0.6389 1.69021 1.77269 -0.824795E-01 6 8 0.2833 0.6111 1.78906 1.70966 0.793971E-01 7 5 0.3167 0.3889 1.05706 1.14220 -0.851334E-01 7 5 0.3333 0.3611 1.14639 1.06237 0.840194E-01 7 6 0.3167 0.4722 1.28237 1.36775 -0.853709E-01 7 6 0.3333 0.4444 1.37502 1.29133 0.836912E-01 7 7 0.3167 0.5556 1.48988 1.57506 -0.851728E-01 7 7 0.3333 0.5278 1.58697 1.50421 0.827607E-01 7 8 0.3167 0.6389 1.67079 1.75502 -0.842308E-01 7 8 0.3333 0.6111 1.77354 1.69263 0.809171E-01 8 5 0.3667 0.3889 1.04919 1.13514 -0.859499E-01 8 5 0.3833 0.3611 1.14040 1.05573 0.846615E-01 8 6 0.3667 0.4722 1.27049 1.35697 -0.864816E-01 8 6 0.3833 0.4444 1.36571 1.28111 0.845944E-01 8 7 0.3667 0.5556 1.47272 1.55937 -0.866501E-01 8 7 0.3833 0.5278 1.57322 1.48921 0.840023E-01 8 8 0.3667 0.6389 1.64696 1.73312 -0.861604E-01 8 8 0.3833 0.6111 1.75413 1.67154 0.825910E-01 I J X Y VORT(I,J) Exact Vort Diff 5 5 0.2167 0.3889 0.194072 0.208185 -0.141125E-01 5 5 0.2333 0.3611 0.238662 0.225383 0.132785E-01 5 6 0.2167 0.4722 0.188662 0.200975 -0.123125E-01 5 6 0.2333 0.4444 0.229726 0.218597 0.111289E-01 5 7 0.2167 0.5556 0.179726 0.189558 -0.983262E-02 5 7 0.2333 0.5278 0.215938 0.207698 0.824005E-02 5 8 0.2167 0.6389 0.165938 0.172556 -0.661783E-02 5 8 0.2333 0.6111 0.195829 0.191258 0.457099E-02 6 5 0.2667 0.3889 0.240358 0.253538 -0.131800E-01 6 5 0.2833 0.3611 0.282904 0.270804 0.121001E-01 6 6 0.2667 0.4722 0.232904 0.243766 -0.108625E-01 6 6 0.2833 0.4444 0.270972 0.261607 0.936494E-02 6 7 0.2667 0.5556 0.220972 0.228670 -0.769842E-02 6 7 0.2833 0.5278 0.252959 0.247242 0.571679E-02 6 8 0.2667 0.6389 0.202959 0.206572 -0.361325E-02 6 8 0.2833 0.6111 0.227096 0.225996 0.109965E-02 7 5 0.3167 0.3889 0.284678 0.296740 -0.120627E-01 7 5 0.3333 0.3611 0.324683 0.313985 0.106986E-01 7 6 0.3167 0.4722 0.274683 0.283861 -0.917728E-02 7 6 0.3333 0.4444 0.309161 0.301831 0.732920E-02 7 7 0.3167 0.5556 0.259161 0.264449 -0.528838E-02 7 7 0.3333 0.5278 0.286243 0.283359 0.288426E-02 7 8 0.3167 0.6389 0.236243 0.236548 -0.305013E-03 7 8 0.3333 0.6111 0.253880 0.256584 -0.270372E-02 8 5 0.3667 0.3889 0.326202 0.336945 -0.107434E-01 8 5 0.3833 0.3611 0.363088 0.354036 0.905215E-02 8 6 0.3667 0.4722 0.313088 0.320317 -0.722943E-02 8 6 0.3833 0.4444 0.343284 0.338294 0.499041E-02 8 7 0.3667 0.5556 0.293284 0.295851 -0.256646E-02 8 7 0.3833 0.5278 0.314677 0.314974 -0.296159E-03 8 8 0.3667 0.6389 0.264677 0.261328 0.334894E-02 8 8 0.3833 0.6111 0.274960 0.281842 -0.688211E-02 TEST07 ELEMENTS_EPS creates an Encapsulated PostScript file containing an image of a Q4 mesh. ELEMENTS_EPS: An encapsulated PostScript file was created containing an image of the nodes and elements. The file is named "fem2d_pack_prb_q4.eps". TEST08 ELEMENTS_EPS creates an Encapsulated PostScript file containing an image of a T3 mesh. ELEMENTS_EPS: An encapsulated PostScript file was created containing an image of the nodes and elements. The file is named "fem2d_pack_prb_t3.eps". TEST09 ELEMENTS_EPS creates an Encapsulated PostScript file containing an image of a T4 mesh. ELEMENTS_EPS: An encapsulated PostScript file was created containing an image of the nodes and elements. The file is named "fem2d_pack_prb_t4.eps". TEST10 ELEMENTS_EPS creates an Encapsulated PostScript file containing an image of a T6 mesh. ELEMENTS_EPS: An encapsulated PostScript file was created containing an image of the nodes and elements. The file is named "fem2d_pack_prb_t6.eps". TEST105 GRID_NODES_01 creates a regular grid in the unit square. NUM_X = 5 NUM_Y = 3 NODE_NUM = 15 1 0.000000 0.000000 2 0.250000 0.000000 3 0.500000 0.000000 4 0.750000 0.000000 5 1.000000 0.000000 6 0.000000 0.500000 7 0.250000 0.500000 8 0.500000 0.500000 9 0.750000 0.500000 10 1.000000 0.500000 11 0.000000 1.000000 12 0.250000 1.000000 13 0.500000 1.000000 14 0.750000 1.000000 15 1.000000 1.000000 TEST107 For a T3 mesh of a rectangle, GRID_T3_ELEMENT_NUM counte elements; GRID_T3_NODE_NUM counte nodes; GRID_T3_ELEMENT creates elements; Wrote node file "rectangle_t3_nodes.txt". Wrote element file "rectangle_t3_triangles.txt". TEST11 GRID_TEST tests the grid routines. GRID_TEST for element "Q4". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 4 Nodes in grid = 12 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 4 # 1 2 3 4 1 1 2 6 5 2 2 3 7 6 3 3 4 8 7 4 5 6 10 9 5 6 7 11 10 6 7 8 12 11 Grid width is 5 GRID_TEST for element "Q8". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 8 Nodes in grid = 29 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 8 # 1 2 3 4 5 6 7 8 1 1 3 14 12 2 9 13 8 2 3 5 16 14 4 10 15 9 3 5 7 18 16 6 11 17 10 4 12 14 25 23 13 20 24 19 5 14 16 27 25 15 21 26 20 6 16 18 29 27 17 22 28 21 Grid width is 13 GRID_TEST for element "Q9". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 9 Nodes in grid = 35 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 9 # 1 2 3 4 5 6 7 8 9 1 1 3 17 15 2 10 16 8 9 2 3 5 19 17 4 12 18 10 11 3 5 7 21 19 6 14 20 12 13 4 15 17 31 29 16 24 30 22 23 5 17 19 33 31 18 26 32 24 25 6 19 21 35 33 20 28 34 26 27 Grid width is 16 GRID_TEST for element "Q12". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 12 Nodes in grid = 46 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 12 # 1 2 3 4 5 6 7 8 9 10 11 12 1 1 2 3 4 11 12 15 16 19 20 21 22 2 4 5 6 7 12 13 16 17 22 23 24 25 3 7 8 9 10 13 14 17 18 25 26 27 28 4 19 20 21 22 29 30 33 34 37 38 39 40 5 22 23 24 25 30 31 34 35 40 41 42 43 6 25 26 27 28 31 32 35 36 43 44 45 46 Grid width is 21 GRID_TEST for element "Q16". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 16 Nodes in grid = 70 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 16 # 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 1 2 3 4 11 12 13 14 21 22 23 24 31 32 33 34 2 4 5 6 7 14 15 16 17 24 25 26 27 34 35 36 37 3 7 8 9 10 17 18 19 20 27 28 29 30 37 38 39 40 4 31 32 33 34 41 42 43 44 51 52 53 54 61 62 63 64 5 34 35 36 37 44 45 46 47 54 55 56 57 64 65 66 67 6 37 38 39 40 47 48 49 50 57 58 59 60 67 68 69 70 Grid width is 33 GRID_TEST for element "QL". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 6 Nodes in grid = 21 GRID_PRINT: Element -> Node table. Number of elements = 6 Element order = 6 # 1 2 3 4 5 6 1 1 2 3 8 9 10 2 3 4 5 10 11 12 3 5 6 7 12 13 14 4 8 9 10 15 16 17 5 10 11 12 17 18 19 6 12 13 14 19 20 21 Grid width is 9 GRID_TEST for element "T3". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 3 Nodes in grid = 12 GRID_PRINT: Element -> Node table. Number of elements = 12 Element order = 3 # 1 2 3 1 1 2 5 2 6 5 2 3 2 3 6 4 7 6 3 5 3 4 7 6 8 7 4 7 5 6 9 8 10 9 6 9 6 7 10 10 11 10 7 11 7 8 11 12 12 11 8 Grid width is 4 GRID_TEST for element "T4". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 4 Nodes in grid = 24 GRID_PRINT: Element -> Node table. Number of elements = 12 Element order = 4 # 1 2 3 4 1 1 2 11 5 2 12 11 2 8 3 2 3 12 6 4 13 12 3 9 5 3 4 13 7 6 14 13 4 10 7 11 12 21 15 8 22 21 12 18 9 12 13 22 16 10 23 22 13 19 11 13 14 23 17 12 24 23 14 20 Grid width is 10 GRID_TEST for element "T6". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 6 Nodes in grid = 35 GRID_PRINT: Element -> Node table. Number of elements = 12 Element order = 6 # 1 2 3 4 5 6 1 1 3 15 2 9 8 2 17 15 3 16 9 10 3 3 5 17 4 11 10 4 19 17 5 18 11 12 5 5 7 19 6 13 12 6 21 19 7 20 13 14 7 15 17 29 16 23 22 8 31 29 17 30 23 24 9 17 19 31 18 25 24 10 33 31 19 32 25 26 11 19 21 33 20 27 26 12 35 33 21 34 27 28 Grid width is 14 GRID_TEST for element "T10". Number of elements in X direction = 3 Number of elements in Y direction = 2 Nodes per element = 10 Nodes in grid = 70 GRID_PRINT: Element -> Node table. Number of elements = 12 Element order = 10 # 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 13 22 31 21 10 11 2 34 33 32 31 22 13 4 14 24 23 3 4 5 6 7 16 25 34 24 13 14 4 37 36 35 34 25 16 7 17 27 26 5 7 8 9 10 19 28 37 27 16 17 6 40 39 38 37 28 19 10 20 30 29 7 31 32 33 34 43 52 61 51 40 41 8 64 63 62 61 52 43 34 44 54 53 9 34 35 36 37 46 55 64 54 43 44 10 67 66 65 64 55 46 37 47 57 56 11 37 38 39 40 49 58 67 57 46 47 12 70 69 68 67 58 49 40 50 60 59 Grid width is 30 TEST12 INTERP_TEST tests the interpolating power of the element. INTERP_TEST for element "Q4". Element order = 4 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.785719 0.452491 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.863708 0.163863 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.268518 0.628701 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.830868 0.966622 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.843678 0.188430 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.578180 0.381874E-01 (U,U*,Error): 0.381874E-01 0.381874E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.361642 0.622580 (U,U*,Error): 0.622580 0.622580 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.613791 0.775781E-01 (U,U*,Error): 0.775781E-01 0.775781E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.358939 0.600322 (U,U*,Error): 0.600322 0.600322 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.797068 0.897804 (U,U*,Error): 0.897804 0.897804 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.443561 0.925611 (U,U*,Error): 0.443561 0.443561 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.564388 0.284521 (U,U*,Error): 0.564388 0.564388 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.646914 0.987440 (U,U*,Error): 0.646914 0.646914 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.814089 0.718805 (U,U*,Error): 0.814089 0.814089 0.111022E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.376905 0.157025 (U,U*,Error): 0.376905 0.376905 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.978305 0.235619 (U,U*,Error): 0.230508 0.230508 0.00000 (Ur,Ur*,Error): 0.235619 0.235619 0.00000 (Us,Us*,Error): 0.978305 0.978305 0.00000 (R,S): 0.711457 0.607339 (U,U*,Error): 0.432096 0.432096 0.00000 (Ur,Ur*,Error): 0.607339 0.607339 0.00000 (Us,Us*,Error): 0.711457 0.711457 0.00000 (R,S): 0.278557 0.561883 (U,U*,Error): 0.156517 0.156517 0.00000 (Ur,Ur*,Error): 0.561883 0.561883 0.00000 (Us,Us*,Error): 0.278557 0.278557 0.00000 (R,S): 0.332069 0.381143 (U,U*,Error): 0.126566 0.126566 0.00000 (Ur,Ur*,Error): 0.381143 0.381143 0.00000 (Us,Us*,Error): 0.332069 0.332069 0.00000 (R,S): 0.209574 0.853632 (U,U*,Error): 0.178899 0.178899 0.00000 (Ur,Ur*,Error): 0.853632 0.853632 0.00000 (Us,Us*,Error): 0.209574 0.209574 0.00000 INTERP_TEST for element "Q8". Element order = 8 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 1.00000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 1.00000 (R,S): 0.141731 0.872873 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.00000 -0.444089E-15 0.444089E-15 (R,S): 0.787281 0.859796E-01 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 -0.166533E-15 0.166533E-15 (Us,Us*,Error): 0.00000 0.333067E-15 0.333067E-15 (R,S): 0.770076 0.867936 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.499600E-15 0.499600E-15 (Us,Us*,Error): 0.00000 0.122125E-14 0.122125E-14 (R,S): 0.317588 0.791962 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.465058 0.121705 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 -0.222045E-15 0.222045E-15 (Us,Us*,Error): 0.00000 -0.444089E-15 0.444089E-15 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 0.500000 (R,S): 0.241101 0.924160 (U,U*,Error): 0.924160 0.924160 0.00000 (Ur,Ur*,Error): 0.00000 -0.360822E-15 0.360822E-15 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.795843 0.126660 (U,U*,Error): 0.126660 0.126660 0.00000 (Ur,Ur*,Error): 0.00000 0.277556E-16 0.277556E-16 (Us,Us*,Error): 1.00000 1.00000 0.111022E-15 (R,S): 0.789479 0.838944 (U,U*,Error): 0.838944 0.838944 0.00000 (Ur,Ur*,Error): 0.00000 -0.555112E-16 0.555112E-16 (Us,Us*,Error): 1.00000 1.00000 0.333067E-15 (R,S): 0.295189 0.231383 (U,U*,Error): 0.231383 0.231383 0.00000 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.774706 0.947751 (U,U*,Error): 0.947751 0.947751 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.208167E-15 0.208167E-15 (Us,Us*,Error): 1.00000 1.00000 0.444089E-15 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.500000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.495794 0.837940 (U,U*,Error): 0.495794 0.495794 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.222045E-15 0.222045E-15 (R,S): 0.950656 0.778287E-01 (U,U*,Error): 0.950656 0.950656 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.222045E-15 (Us,Us*,Error): 0.00000 -0.222045E-15 0.222045E-15 (R,S): 0.574962 0.405922 (U,U*,Error): 0.574962 0.574962 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 -0.555112E-16 0.555112E-16 (R,S): 0.187746 0.672593 (U,U*,Error): 0.187746 0.187746 0.277556E-16 (Ur,Ur*,Error): 1.00000 1.00000 0.444089E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.248401 0.596498 (U,U*,Error): 0.248401 0.248401 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.250000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 0.250000 (R,S): 0.432996E-01 0.378627 (U,U*,Error): 0.143358 0.143358 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.757253 0.757253 0.00000 (R,S): 0.320125 0.671350 (U,U*,Error): 0.450711 0.450711 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.832667E-16 0.832667E-16 (Us,Us*,Error): 1.34270 1.34270 0.222045E-15 (R,S): 0.636957 0.884800 (U,U*,Error): 0.782871 0.782871 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.76960 1.76960 0.00000 (R,S): 0.147608 0.697251 (U,U*,Error): 0.486159 0.486159 0.555112E-16 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 1.39450 1.39450 0.222045E-15 (R,S): 0.815650 0.517922 (U,U*,Error): 0.268243 0.268243 0.00000 (Ur,Ur*,Error): 0.00000 -0.222045E-15 0.222045E-15 (Us,Us*,Error): 1.03584 1.03584 0.00000 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.663340 0.811117 (U,U*,Error): 0.538047 0.538047 0.111022E-15 (Ur,Ur*,Error): 0.811117 0.811117 0.111022E-15 (Us,Us*,Error): 0.663340 0.663340 0.111022E-15 (R,S): 0.143134 0.173754 (U,U*,Error): 0.248702E-01 0.248702E-01 0.00000 (Ur,Ur*,Error): 0.173754 0.173754 0.277556E-16 (Us,Us*,Error): 0.143134 0.143134 0.277556E-16 (R,S): 0.672181 0.804996 (U,U*,Error): 0.541103 0.541103 0.111022E-15 (Ur,Ur*,Error): 0.804996 0.804996 0.00000 (Us,Us*,Error): 0.672181 0.672181 0.333067E-15 (R,S): 0.332426 0.846527 (U,U*,Error): 0.281408 0.281408 0.555112E-16 (Ur,Ur*,Error): 0.846527 0.846527 0.00000 (Us,Us*,Error): 0.332426 0.332426 0.555112E-16 (R,S): 0.576060 0.450374E-02 (U,U*,Error): 0.259443E-02 0.259443E-02 0.433681E-18 (Ur,Ur*,Error): 0.450374E-02 0.450374E-02 0.00000 (Us,Us*,Error): 0.576060 0.576060 0.111022E-15 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.250000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.818920 0.434305E-01 (U,U*,Error): 0.670629 0.670629 0.00000 (Ur,Ur*,Error): 1.63784 1.63784 0.222045E-15 (Us,Us*,Error): 0.00000 -0.111022E-15 0.111022E-15 (R,S): 0.290933 0.811381 (U,U*,Error): 0.846421E-01 0.846421E-01 0.555112E-16 (Ur,Ur*,Error): 0.581866 0.581866 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.536951 0.602064 (U,U*,Error): 0.288317 0.288317 0.555112E-16 (Ur,Ur*,Error): 1.07390 1.07390 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.188739 0.328685 (U,U*,Error): 0.356223E-01 0.356223E-01 0.138778E-16 (Ur,Ur*,Error): 0.377478 0.377478 0.555112E-16 (Us,Us*,Error): 0.00000 -0.277556E-16 0.277556E-16 (R,S): 0.322393 0.826908 (U,U*,Error): 0.103937 0.103937 0.138778E-16 (Ur,Ur*,Error): 0.644785 0.644785 0.222045E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 1 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.250000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.124178 0.328469 (U,U*,Error): 0.133978E-01 0.133978E-01 0.173472E-17 (Ur,Ur*,Error): 0.107892 0.107892 0.138778E-16 (Us,Us*,Error): 0.815774E-01 0.815774E-01 0.277556E-16 (R,S): 0.549151 0.211520 (U,U*,Error): 0.245694E-01 0.245694E-01 0.208167E-16 (Ur,Ur*,Error): 0.447407E-01 0.447407E-01 0.555112E-16 (Us,Us*,Error): 0.232313 0.232313 0.277556E-16 (R,S): 0.401315 0.688250 (U,U*,Error): 0.190098 0.190098 0.555112E-16 (Ur,Ur*,Error): 0.473688 0.473688 0.222045E-15 (Us,Us*,Error): 0.552410 0.552410 0.00000 (R,S): 0.171937 0.480853 (U,U*,Error): 0.397552E-01 0.397552E-01 0.208167E-16 (Ur,Ur*,Error): 0.231220 0.231220 0.832667E-16 (Us,Us*,Error): 0.165353 0.165353 0.277556E-16 (R,S): 0.378998 0.787060 (U,U*,Error): 0.234775 0.234775 0.555112E-16 (Ur,Ur*,Error): 0.619464 0.619464 0.00000 (Us,Us*,Error): 0.596588 0.596588 0.111022E-15 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.970876 0.630102 (U,U*,Error): 0.593934 0.593934 0.111022E-15 (Ur,Ur*,Error): 1.22350 1.22350 0.222045E-15 (Us,Us*,Error): 0.942600 0.942600 0.111022E-15 (R,S): 0.338845 0.703645 (U,U*,Error): 0.807898E-01 0.807898E-01 0.138778E-16 (Ur,Ur*,Error): 0.476854 0.476854 0.00000 (Us,Us*,Error): 0.114816 0.114816 0.00000 (R,S): 0.462797 0.946425 (U,U*,Error): 0.202707 0.202707 0.00000 (Ur,Ur*,Error): 0.876006 0.876006 0.111022E-15 (Us,Us*,Error): 0.214181 0.214181 0.166533E-15 (R,S): 0.135292 0.580430 (U,U*,Error): 0.106242E-01 0.106242E-01 0.138778E-16 (Ur,Ur*,Error): 0.157055 0.157055 0.00000 (Us,Us*,Error): 0.183039E-01 0.183039E-01 0.346945E-17 (R,S): 0.635233 0.487005E-01 (U,U*,Error): 0.196516E-01 0.196516E-01 0.346945E-17 (Ur,Ur*,Error): 0.618723E-01 0.618723E-01 0.138778E-16 (Us,Us*,Error): 0.403521 0.403521 0.00000 INTERP_TEST for element "Q9". Element order = 9 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 1.00000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 1.00000 (R,S,U): 0.500000 0.500000 1.00000 (R,S): 0.301954 0.823444E-02 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.242861E-15 0.242861E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.201954 0.817981E-01 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 -0.444089E-15 0.444089E-15 (R,S): 0.260382 0.222347 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.222045E-15 0.222045E-15 (Us,Us*,Error): 0.00000 0.222045E-15 0.222045E-15 (R,S): 0.388370 0.882316 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.166533E-15 0.166533E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.255933 0.883436 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 -0.222045E-15 0.222045E-15 (Us,Us*,Error): 0.00000 -0.444089E-15 0.444089E-15 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 0.500000 (R,S,U): 0.500000 0.500000 0.500000 (R,S): 0.840698 0.123493E-01 (U,U*,Error): 0.123493E-01 0.123493E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.138778E-16 0.138778E-16 (Us,Us*,Error): 1.00000 1.00000 0.111022E-15 (R,S): 0.747042 0.124653E-01 (U,U*,Error): 0.124653E-01 0.124653E-01 0.173472E-17 (Ur,Ur*,Error): 0.00000 0.693889E-17 0.693889E-17 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.728282 0.918476 (U,U*,Error): 0.918476 0.918476 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.104201 0.758079 (U,U*,Error): 0.758079 0.758079 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.613525 0.743001 (U,U*,Error): 0.743001 0.743001 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.500000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.500000 (R,S): 0.856657 0.778473 (U,U*,Error): 0.856657 0.856657 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.222045E-15 (Us,Us*,Error): 0.00000 0.222045E-15 0.222045E-15 (R,S): 0.511076 0.674165 (U,U*,Error): 0.511076 0.511076 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.229270 0.134939 (U,U*,Error): 0.229270 0.229270 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.222045E-15 0.222045E-15 (R,S): 0.977863E-01 0.724403 (U,U*,Error): 0.977863E-01 0.977863E-01 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.555112E-16 0.555112E-16 (R,S): 0.437174 0.521407 (U,U*,Error): 0.437174 0.437174 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 -0.416334E-16 0.416334E-16 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.250000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 0.00000 0.500000 0.250000 (R,S,U): 0.500000 0.500000 0.250000 (R,S): 0.669285 0.701535 (U,U*,Error): 0.492152 0.492152 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.40307 1.40307 0.222045E-15 (R,S): 0.931127 0.648645 (U,U*,Error): 0.420740 0.420740 0.555112E-16 (Ur,Ur*,Error): 0.00000 -0.333067E-15 0.333067E-15 (Us,Us*,Error): 1.29729 1.29729 0.222045E-15 (R,S): 0.750106 0.376996 (U,U*,Error): 0.142126 0.142126 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.753992 0.753992 0.00000 (R,S): 0.895045 0.396508 (U,U*,Error): 0.157219 0.157219 0.00000 (Ur,Ur*,Error): 0.00000 -0.111022E-15 0.111022E-15 (Us,Us*,Error): 0.793017 0.793017 0.00000 (R,S): 0.704431 0.816667 (U,U*,Error): 0.666944 0.666944 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.832667E-16 0.832667E-16 (Us,Us*,Error): 1.63333 1.63333 0.444089E-15 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.250000 (R,S): 0.892732 0.310248 (U,U*,Error): 0.276968 0.276968 0.00000 (Ur,Ur*,Error): 0.310248 0.310248 0.00000 (Us,Us*,Error): 0.892732 0.892732 0.00000 (R,S): 0.402526 0.679723 (U,U*,Error): 0.273606 0.273606 0.00000 (Ur,Ur*,Error): 0.679723 0.679723 0.00000 (Us,Us*,Error): 0.402526 0.402526 0.555112E-16 (R,S): 0.498535 0.521105 (U,U*,Error): 0.259789 0.259789 0.555112E-16 (Ur,Ur*,Error): 0.521105 0.521105 0.00000 (Us,Us*,Error): 0.498535 0.498535 0.555112E-16 (R,S): 0.428077 0.144845 (U,U*,Error): 0.620046E-01 0.620046E-01 0.00000 (Ur,Ur*,Error): 0.144845 0.144845 0.00000 (Us,Us*,Error): 0.428077 0.428077 0.555112E-16 (R,S): 0.691784E-01 0.774261 (U,U*,Error): 0.535621E-01 0.535621E-01 0.693889E-17 (Ur,Ur*,Error): 0.774261 0.774261 0.00000 (Us,Us*,Error): 0.691784E-01 0.691784E-01 0.00000 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.250000 (R,S,U): 1.00000 0.500000 1.00000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.250000 (R,S): 0.630125 0.289829 (U,U*,Error): 0.397057 0.397057 0.00000 (Ur,Ur*,Error): 1.26025 1.26025 0.222045E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.915542 0.216678 (U,U*,Error): 0.838217 0.838217 0.111022E-15 (Ur,Ur*,Error): 1.83108 1.83108 0.00000 (Us,Us*,Error): 0.00000 0.111022E-15 0.111022E-15 (R,S): 0.722727 0.689426 (U,U*,Error): 0.522335 0.522335 0.00000 (Ur,Ur*,Error): 1.44545 1.44545 0.222045E-15 (Us,Us*,Error): 0.00000 -0.555112E-16 0.555112E-16 (R,S): 0.554506 0.255488 (U,U*,Error): 0.307477 0.307477 0.00000 (Ur,Ur*,Error): 1.10901 1.10901 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.366830 0.417849 (U,U*,Error): 0.134564 0.134564 0.00000 (Ur,Ur*,Error): 0.733660 0.733660 0.00000 (Us,Us*,Error): 0.00000 -0.277556E-16 0.277556E-16 Interpolate R ^ 1 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.250000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.125000 (R,S): 0.845961 0.750525 (U,U*,Error): 0.476520 0.476520 0.00000 (Ur,Ur*,Error): 0.563288 0.563288 0.00000 (Us,Us*,Error): 1.26983 1.26983 0.00000 (R,S): 0.883960 0.351200 (U,U*,Error): 0.109029 0.109029 0.138778E-16 (Ur,Ur*,Error): 0.123341 0.123341 0.693889E-16 (Us,Us*,Error): 0.620893 0.620893 0.111022E-15 (R,S): 0.660083 0.935857 (U,U*,Error): 0.578119 0.578119 0.00000 (Ur,Ur*,Error): 0.875829 0.875829 0.333067E-15 (Us,Us*,Error): 1.23549 1.23549 0.222045E-15 (R,S): 0.568767 0.768492 (U,U*,Error): 0.335902 0.335902 0.555112E-16 (Ur,Ur*,Error): 0.590579 0.590579 0.00000 (Us,Us*,Error): 0.874185 0.874185 0.222045E-15 (R,S): 0.864716E-01 0.965568 (U,U*,Error): 0.806194E-01 0.806194E-01 0.00000 (Ur,Ur*,Error): 0.932322 0.932322 0.00000 (Us,Us*,Error): 0.166989 0.166989 0.277556E-16 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.500000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.125000 (R,S): 0.656976E-01 0.392285 (U,U*,Error): 0.169317E-02 0.169317E-02 0.650521E-18 (Ur,Ur*,Error): 0.515444E-01 0.515444E-01 0.346945E-16 (Us,Us*,Error): 0.431617E-02 0.431617E-02 0.433681E-17 (R,S): 0.660031 0.855709 (U,U*,Error): 0.372782 0.372782 0.555112E-16 (Ur,Ur*,Error): 1.12959 1.12959 0.00000 (Us,Us*,Error): 0.435641 0.435641 0.111022E-15 (R,S): 0.763942 0.948404 (U,U*,Error): 0.553495 0.553495 0.00000 (Ur,Ur*,Error): 1.44905 1.44905 0.222045E-15 (Us,Us*,Error): 0.583607 0.583607 0.00000 (R,S): 0.603625E-01 0.985157E-01 (U,U*,Error): 0.358955E-03 0.358955E-03 0.173472E-17 (Ur,Ur*,Error): 0.118933E-01 0.118933E-01 0.520417E-17 (Us,Us*,Error): 0.364363E-02 0.364363E-02 0.221177E-16 (R,S): 0.524413 0.508720 (U,U*,Error): 0.139902 0.139902 0.277556E-16 (Ur,Ur*,Error): 0.533558 0.533558 0.00000 (Us,Us*,Error): 0.275009 0.275009 0.00000 Interpolate R ^ 2 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.500000 0.250000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S,U): 0.500000 0.500000 0.625000E-01 (R,S): 0.378434 0.962703 (U,U*,Error): 0.132729 0.132729 0.277556E-16 (Ur,Ur*,Error): 0.701463 0.701463 0.111022E-15 (Us,Us*,Error): 0.275742 0.275742 0.555112E-16 (R,S): 0.753244E-01 0.133256 (U,U*,Error): 0.100749E-03 0.100749E-03 0.242590E-17 (Ur,Ur*,Error): 0.267508E-02 0.267508E-02 0.108420E-16 (Us,Us*,Error): 0.151212E-02 0.151212E-02 0.628837E-17 (R,S): 0.332076 0.521555E-01 (U,U*,Error): 0.299967E-03 0.299967E-03 0.146367E-17 (Ur,Ur*,Error): 0.180662E-02 0.180662E-02 0.650521E-18 (Us,Us*,Error): 0.115028E-01 0.115028E-01 0.173472E-16 (R,S): 0.327062 0.166189 (U,U*,Error): 0.295439E-02 0.295439E-02 0.260209E-17 (Ur,Ur*,Error): 0.180662E-01 0.180662E-01 0.346945E-17 (Us,Us*,Error): 0.355545E-01 0.355545E-01 0.00000 (R,S): 0.361850 0.146110 (U,U*,Error): 0.279521E-02 0.279521E-02 0.867362E-18 (Ur,Ur*,Error): 0.154496E-01 0.154496E-01 0.173472E-17 (Us,Us*,Error): 0.382619E-01 0.382619E-01 0.00000 INTERP_TEST for element "Q12". Element order = 12 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 0.333333 0.00000 1.00000 (R,S,U): 0.666667 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 1.00000 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 1.00000 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.417866E-01 0.239179 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.166533E-15 0.166533E-15 (Us,Us*,Error): 0.00000 -0.700828E-15 0.700828E-15 (R,S): 0.928474 0.862731 (U,U*,Error): 1.00000 1.00000 0.444089E-15 (Ur,Ur*,Error): 0.00000 0.222045E-14 0.222045E-14 (Us,Us*,Error): 0.00000 -0.222045E-14 0.222045E-14 (R,S): 0.943691 0.330663 (U,U*,Error): 1.00000 1.00000 0.333067E-15 (Ur,Ur*,Error): 0.00000 -0.266454E-14 0.266454E-14 (Us,Us*,Error): 0.00000 0.199840E-14 0.199840E-14 (R,S): 0.572545 0.636945 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.721645E-15 0.721645E-15 (Us,Us*,Error): 0.00000 0.163758E-14 0.163758E-14 (R,S): 0.476023E-01 0.922128E-01 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.138778E-16 0.138778E-16 (Us,Us*,Error): 0.00000 -0.830499E-15 0.830499E-15 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.333333 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.666667 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.260495 0.119169 (U,U*,Error): 0.119169 0.119169 0.138778E-16 (Ur,Ur*,Error): 0.00000 0.416334E-16 0.416334E-16 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.225540 0.771291 (U,U*,Error): 0.771291 0.771291 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.666134E-15 0.666134E-15 (Us,Us*,Error): 1.00000 1.00000 0.266454E-14 (R,S): 0.954164 0.572245 (U,U*,Error): 0.572245 0.572245 0.00000 (Ur,Ur*,Error): 0.00000 -0.888178E-15 0.888178E-15 (Us,Us*,Error): 1.00000 1.00000 0.111022E-14 (R,S): 0.948724 0.232419 (U,U*,Error): 0.232419 0.232419 0.277556E-16 (Ur,Ur*,Error): 0.00000 0.333067E-15 0.333067E-15 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.344037 0.239279 (U,U*,Error): 0.239279 0.239279 0.555112E-16 (Ur,Ur*,Error): 0.00000 0.166533E-15 0.166533E-15 (Us,Us*,Error): 1.00000 1.00000 0.333067E-15 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.333333 (R,S,U): 0.666667 0.00000 0.666667 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.753884 0.860255 (U,U*,Error): 0.753884 0.753884 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.666134E-15 (Us,Us*,Error): 0.00000 0.421885E-14 0.421885E-14 (R,S): 0.601408E-01 0.425066 (U,U*,Error): 0.601408E-01 0.601408E-01 0.138778E-16 (Ur,Ur*,Error): 1.00000 1.00000 0.444089E-15 (Us,Us*,Error): 0.00000 0.485723E-16 0.485723E-16 (R,S): 0.169608 0.967805 (U,U*,Error): 0.169608 0.169608 0.277556E-16 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.111022E-15 0.111022E-15 (R,S): 0.962296 0.885793 (U,U*,Error): 0.962296 0.962296 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.266454E-14 (Us,Us*,Error): 0.00000 0.266454E-14 0.266454E-14 (R,S): 0.243042 0.980945 (U,U*,Error): 0.243042 0.243042 0.555112E-16 (Ur,Ur*,Error): 1.00000 1.00000 0.222045E-15 (Us,Us*,Error): 0.00000 0.444089E-15 0.444089E-15 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.111111 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.444444 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.957289 0.963572 (U,U*,Error): 0.928471 0.928471 0.444089E-15 (Ur,Ur*,Error): 0.00000 0.444089E-14 0.444089E-14 (Us,Us*,Error): 1.92714 1.92714 0.888178E-15 (R,S): 0.405587 0.766710 (U,U*,Error): 0.587845 0.587845 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.111022E-14 0.111022E-14 (Us,Us*,Error): 1.53342 1.53342 0.888178E-15 (R,S): 0.929506 0.791495 (U,U*,Error): 0.626465 0.626465 0.00000 (Ur,Ur*,Error): 0.00000 0.133227E-14 0.133227E-14 (Us,Us*,Error): 1.58299 1.58299 0.133227E-14 (R,S): 0.617067 0.191783 (U,U*,Error): 0.367807E-01 0.367807E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 -0.329597E-15 0.329597E-15 (Us,Us*,Error): 0.383566 0.383566 0.555112E-15 (R,S): 0.519016E-01 0.708315 (U,U*,Error): 0.501710 0.501710 0.00000 (Ur,Ur*,Error): 0.00000 -0.127676E-14 0.127676E-14 (Us,Us*,Error): 1.41663 1.41663 0.222045E-15 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.483056 0.469642 (U,U*,Error): 0.226863 0.226863 0.00000 (Ur,Ur*,Error): 0.469642 0.469642 0.00000 (Us,Us*,Error): 0.483056 0.483056 0.666134E-15 (R,S): 0.907242 0.825293 (U,U*,Error): 0.748740 0.748740 0.111022E-15 (Ur,Ur*,Error): 0.825293 0.825293 0.233147E-14 (Us,Us*,Error): 0.907242 0.907242 0.444089E-15 (R,S): 0.589071 0.547806 (U,U*,Error): 0.322696 0.322696 0.555112E-16 (Ur,Ur*,Error): 0.547806 0.547806 0.888178E-15 (Us,Us*,Error): 0.589071 0.589071 0.666134E-15 (R,S): 0.800976 0.741685E-01 (U,U*,Error): 0.594071E-01 0.594071E-01 0.693889E-17 (Ur,Ur*,Error): 0.741685E-01 0.741685E-01 0.138778E-16 (Us,Us*,Error): 0.800976 0.800976 0.111022E-15 (R,S): 0.567586 0.363481 (U,U*,Error): 0.206307 0.206307 0.832667E-16 (Ur,Ur*,Error): 0.363481 0.363481 0.555112E-16 (Us,Us*,Error): 0.567586 0.567586 0.00000 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.111111 (R,S,U): 0.666667 0.00000 0.444444 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.225264 0.431587 (U,U*,Error): 0.507439E-01 0.507439E-01 0.416334E-16 (Ur,Ur*,Error): 0.450528 0.450528 0.333067E-15 (Us,Us*,Error): 0.00000 -0.277556E-15 0.277556E-15 (R,S): 0.843601 0.987368 (U,U*,Error): 0.711663 0.711663 0.00000 (Ur,Ur*,Error): 1.68720 1.68720 0.222045E-15 (Us,Us*,Error): 0.00000 0.133227E-14 0.133227E-14 (R,S): 0.566060 0.945247 (U,U*,Error): 0.320424 0.320424 0.00000 (Ur,Ur*,Error): 1.13212 1.13212 0.222045E-15 (Us,Us*,Error): 0.00000 -0.888178E-15 0.888178E-15 (R,S): 0.698062 0.308251 (U,U*,Error): 0.487291 0.487291 0.166533E-15 (Ur,Ur*,Error): 1.39612 1.39612 0.444089E-15 (Us,Us*,Error): 0.00000 -0.222045E-15 0.222045E-15 (R,S): 0.964231 0.756587 (U,U*,Error): 0.929742 0.929742 0.222045E-15 (Ur,Ur*,Error): 1.92846 1.92846 0.177636E-14 (Us,Us*,Error): 0.00000 0.133227E-14 0.133227E-14 Interpolate R ^ 0 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.370370E-01 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.296296 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.741707 0.938722 (U,U*,Error): 0.827200 0.827200 0.222045E-15 (Ur,Ur*,Error): 0.00000 -0.133227E-14 0.133227E-14 (Us,Us*,Error): 2.64360 2.64360 0.133227E-14 (R,S): 0.450696 0.374554 (U,U*,Error): 0.525463E-01 0.525463E-01 0.208167E-16 (Ur,Ur*,Error): 0.00000 0.333067E-15 0.333067E-15 (Us,Us*,Error): 0.420871 0.420871 0.222045E-15 (R,S): 0.348612 0.282614 (U,U*,Error): 0.225727E-01 0.225727E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.239613 0.239613 0.416334E-15 (R,S): 0.831352E-01 0.360568 (U,U*,Error): 0.468772E-01 0.468772E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 -0.305311E-15 0.305311E-15 (Us,Us*,Error): 0.390028 0.390028 0.166533E-15 (R,S): 0.853303E-01 0.723880E-01 (U,U*,Error): 0.379315E-03 0.379315E-03 0.131188E-16 (Ur,Ur*,Error): 0.00000 0.277556E-16 0.277556E-16 (Us,Us*,Error): 0.157201E-01 0.157201E-01 0.624500E-16 Interpolate R ^ 1 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.523893 0.756040 (U,U*,Error): 0.299455 0.299455 0.555112E-16 (Ur,Ur*,Error): 0.571596 0.571596 0.555112E-15 (Us,Us*,Error): 0.792168 0.792168 0.888178E-15 (R,S): 0.989184 0.296687 (U,U*,Error): 0.870714E-01 0.870714E-01 0.277556E-16 (Ur,Ur*,Error): 0.880234E-01 0.880234E-01 0.263678E-15 (Us,Us*,Error): 0.586957 0.586957 0.222045E-15 (R,S): 0.446516 0.907533E-01 (U,U*,Error): 0.367758E-02 0.367758E-02 0.173472E-16 (Ur,Ur*,Error): 0.823615E-02 0.823615E-02 0.105818E-15 (Us,Us*,Error): 0.810456E-01 0.810456E-01 0.555112E-16 (R,S): 0.867325 0.537792 (U,U*,Error): 0.250848 0.250848 0.00000 (Ur,Ur*,Error): 0.289221 0.289221 0.777156E-15 (Us,Us*,Error): 0.932882 0.932882 0.111022E-15 (R,S): 0.585753E-01 0.169750 (U,U*,Error): 0.168786E-02 0.168786E-02 0.108420E-17 (Ur,Ur*,Error): 0.288152E-01 0.288152E-01 0.104083E-16 (Us,Us*,Error): 0.198864E-01 0.198864E-01 0.208167E-16 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.135118 0.133722 (U,U*,Error): 0.244134E-02 0.244134E-02 0.130104E-17 (Ur,Ur*,Error): 0.361365E-01 0.361365E-01 0.416334E-16 (Us,Us*,Error): 0.182568E-01 0.182568E-01 0.346945E-17 (R,S): 0.142181 0.630417 (U,U*,Error): 0.127442E-01 0.127442E-01 0.156125E-16 (Ur,Ur*,Error): 0.179267 0.179267 0.277556E-16 (Us,Us*,Error): 0.202155E-01 0.202155E-01 0.242861E-15 (R,S): 0.915560 0.454806 (U,U*,Error): 0.381241 0.381241 0.00000 (Ur,Ur*,Error): 0.832804 0.832804 0.222045E-15 (Us,Us*,Error): 0.838250 0.838250 0.111022E-14 (R,S): 0.434204 0.707704 (U,U*,Error): 0.133426 0.133426 0.277556E-16 (Ur,Ur*,Error): 0.614576 0.614576 0.555112E-15 (Us,Us*,Error): 0.188533 0.188533 0.499600E-15 (R,S): 0.280952 0.937928 (U,U*,Error): 0.740346E-01 0.740346E-01 0.277556E-16 (Ur,Ur*,Error): 0.527026 0.527026 0.00000 (Us,Us*,Error): 0.789342E-01 0.789342E-01 0.652256E-15 Interpolate R ^ 3 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.370370E-01 (R,S,U): 0.666667 0.00000 0.296296 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.688729 0.174283 (U,U*,Error): 0.326698 0.326698 0.222045E-15 (Ur,Ur*,Error): 1.42304 1.42304 0.00000 (Us,Us*,Error): 0.00000 0.777156E-15 0.777156E-15 (R,S): 0.562480 0.624723 (U,U*,Error): 0.177959 0.177959 0.555112E-16 (Ur,Ur*,Error): 0.949150 0.949150 0.555112E-15 (Us,Us*,Error): 0.00000 -0.666134E-15 0.666134E-15 (R,S): 0.980375 0.187417 (U,U*,Error): 0.942272 0.942272 0.111022E-15 (Ur,Ur*,Error): 2.88340 2.88340 0.222045E-14 (Us,Us*,Error): 0.00000 0.666134E-15 0.666134E-15 (R,S): 0.156998E-01 0.328135E-01 (U,U*,Error): 0.386972E-05 0.386972E-05 0.162122E-17 (Ur,Ur*,Error): 0.739448E-03 0.739448E-03 0.101481E-15 (Us,Us*,Error): 0.00000 0.242861E-16 0.242861E-16 (R,S): 0.624418 0.945084 (U,U*,Error): 0.243459 0.243459 0.111022E-15 (Ur,Ur*,Error): 1.16969 1.16969 0.666134E-15 (Us,Us*,Error): 0.00000 0.133227E-14 0.133227E-14 Interpolate R ^ 1 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.197470 0.255471 (U,U*,Error): 0.329249E-02 0.329249E-02 0.346945E-17 (Ur,Ur*,Error): 0.166734E-01 0.166734E-01 0.124900E-15 (Us,Us*,Error): 0.386638E-01 0.386638E-01 0.277556E-16 (R,S): 0.109485 0.802801 (U,U*,Error): 0.566471E-01 0.566471E-01 0.346945E-16 (Ur,Ur*,Error): 0.517397 0.517397 0.111022E-15 (Us,Us*,Error): 0.211685 0.211685 0.277556E-16 (R,S): 0.342140 0.573760 (U,U*,Error): 0.646240E-01 0.646240E-01 0.138778E-16 (Ur,Ur*,Error): 0.188882 0.188882 0.832667E-16 (Us,Us*,Error): 0.337898 0.337898 0.555112E-16 (R,S): 0.577438 0.123109 (U,U*,Error): 0.107738E-02 0.107738E-02 0.802310E-17 (Ur,Ur*,Error): 0.186580E-02 0.186580E-02 0.542101E-16 (Us,Us*,Error): 0.262545E-01 0.262545E-01 0.104083E-16 (R,S): 0.421648E-01 0.321048E-01 (U,U*,Error): 0.139527E-05 0.139527E-05 0.294344E-18 (Ur,Ur*,Error): 0.330909E-04 0.330909E-04 0.442490E-17 (Us,Us*,Error): 0.130380E-03 0.130380E-03 0.566496E-17 Interpolate R ^ 3 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.389839 0.252049 (U,U*,Error): 0.149327E-01 0.149327E-01 0.277556E-16 (Ur,Ur*,Error): 0.114915 0.114915 0.416334E-16 (Us,Us*,Error): 0.592453E-01 0.592453E-01 0.284495E-15 (R,S): 0.348690 0.968847 (U,U*,Error): 0.410746E-01 0.410746E-01 0.208167E-16 (Ur,Ur*,Error): 0.353391 0.353391 0.555112E-16 (Us,Us*,Error): 0.423953E-01 0.423953E-01 0.305311E-15 (R,S): 0.573727 0.133815 (U,U*,Error): 0.252708E-01 0.252708E-01 0.693889E-17 (Ur,Ur*,Error): 0.132140 0.132140 0.00000 (Us,Us*,Error): 0.188850 0.188850 0.222045E-15 (R,S): 0.246569 0.489994 (U,U*,Error): 0.734527E-02 0.734527E-02 0.364292E-16 (Ur,Ur*,Error): 0.893696E-01 0.893696E-01 0.555112E-16 (Us,Us*,Error): 0.149905E-01 0.149905E-01 0.215106E-15 (R,S): 0.632484E-01 0.195416 (U,U*,Error): 0.494436E-04 0.494436E-04 0.602410E-17 (Ur,Ur*,Error): 0.234521E-02 0.234521E-02 0.303577E-16 (Us,Us*,Error): 0.253017E-03 0.253017E-03 0.195156E-16 INTERP_TEST for element "Q16". Element order = 16 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 0.333333 0.00000 1.00000 (R,S,U): 0.666667 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 1.00000 (R,S,U): 0.333333 0.333333 1.00000 (R,S,U): 0.666667 0.333333 1.00000 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 1.00000 (R,S,U): 0.333333 0.666667 1.00000 (R,S,U): 0.666667 0.666667 1.00000 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.797725 0.645108 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 -0.867362E-15 0.867362E-15 (Us,Us*,Error): 0.00000 0.888178E-15 0.888178E-15 (R,S): 0.611446 0.534255 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.540540E-14 0.540540E-14 (Us,Us*,Error): 0.00000 -0.220679E-14 0.220679E-14 (R,S): 0.900221 0.358846 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 -0.478784E-15 0.478784E-15 (Us,Us*,Error): 0.00000 -0.210942E-14 0.210942E-14 (R,S): 0.770175E-01 0.238658 (U,U*,Error): 1.00000 1.00000 0.333067E-15 (Ur,Ur*,Error): 0.00000 -0.575928E-15 0.575928E-15 (Us,Us*,Error): 0.00000 -0.145717E-14 0.145717E-14 (R,S): 0.684865 0.201490 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.255351E-14 0.255351E-14 (Us,Us*,Error): 0.00000 0.747666E-15 0.747666E-15 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.333333 (R,S,U): 0.333333 0.333333 0.333333 (R,S,U): 0.666667 0.333333 0.333333 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.666667 (R,S,U): 0.333333 0.666667 0.666667 (R,S,U): 0.666667 0.666667 0.666667 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.508614 0.815197 (U,U*,Error): 0.815197 0.815197 0.00000 (Ur,Ur*,Error): 0.00000 -0.208514E-14 0.208514E-14 (Us,Us*,Error): 1.00000 1.00000 0.133227E-14 (R,S): 0.170231E-02 0.528034 (U,U*,Error): 0.528034 0.528034 0.00000 (Ur,Ur*,Error): 0.00000 0.180411E-15 0.180411E-15 (Us,Us*,Error): 1.00000 1.00000 0.111022E-14 (R,S): 0.244285 0.262175 (U,U*,Error): 0.262175 0.262175 0.00000 (Ur,Ur*,Error): 0.00000 -0.331332E-15 0.331332E-15 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.276132 0.213916 (U,U*,Error): 0.213916 0.213916 0.277556E-16 (Ur,Ur*,Error): 0.00000 -0.364292E-15 0.364292E-15 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.478861 0.342076 (U,U*,Error): 0.342076 0.342076 0.555112E-16 (Ur,Ur*,Error): 0.00000 -0.467942E-15 0.467942E-15 (Us,Us*,Error): 1.00000 1.00000 0.111022E-15 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.333333 (R,S,U): 0.666667 0.00000 0.666667 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.333333 (R,S,U): 0.666667 0.333333 0.666667 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.333333 (R,S,U): 0.666667 0.666667 0.666667 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.951346 0.686589 (U,U*,Error): 0.951346 0.951346 0.333067E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.177636E-14 (Us,Us*,Error): 0.00000 0.399680E-14 0.399680E-14 (R,S): 0.638495 0.917023 (U,U*,Error): 0.638495 0.638495 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.111022E-15 (Us,Us*,Error): 0.00000 -0.216493E-14 0.216493E-14 (R,S): 0.305393 0.649268 (U,U*,Error): 0.305393 0.305393 0.111022E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.999201E-15 (Us,Us*,Error): 0.00000 -0.274086E-15 0.274086E-15 (R,S): 0.866853 0.603278 (U,U*,Error): 0.866853 0.866853 0.222045E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.666134E-15 (Us,Us*,Error): 0.00000 0.222045E-14 0.222045E-14 (R,S): 0.280957 0.371118 (U,U*,Error): 0.280957 0.280957 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.111022E-15 (Us,Us*,Error): 0.00000 0.133574E-15 0.133574E-15 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.111111 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.111111 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.444444 (R,S,U): 0.333333 0.666667 0.444444 (R,S,U): 0.666667 0.666667 0.444444 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.683986 0.208777 (U,U*,Error): 0.435877E-01 0.435877E-01 0.138778E-16 (Ur,Ur*,Error): 0.00000 -0.693889E-16 0.693889E-16 (Us,Us*,Error): 0.417553 0.417553 0.555112E-16 (R,S): 0.175186 0.171640 (U,U*,Error): 0.294604E-01 0.294604E-01 0.208167E-16 (Ur,Ur*,Error): 0.00000 -0.260209E-16 0.260209E-16 (Us,Us*,Error): 0.343281 0.343281 0.00000 (R,S): 0.811867E-01 0.223519 (U,U*,Error): 0.499608E-01 0.499608E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 -0.128370E-15 0.128370E-15 (Us,Us*,Error): 0.447038 0.447038 0.00000 (R,S): 0.840732E-01 0.500254 (U,U*,Error): 0.250254 0.250254 0.00000 (Ur,Ur*,Error): 0.00000 -0.360822E-15 0.360822E-15 (Us,Us*,Error): 1.00051 1.00051 0.222045E-15 (R,S): 0.460350 0.500679 (U,U*,Error): 0.250679 0.250679 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.346945E-16 0.346945E-16 (Us,Us*,Error): 1.00136 1.00136 0.666134E-15 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.222222 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.222222 (R,S,U): 0.666667 0.666667 0.444444 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.577118 0.336295 (U,U*,Error): 0.194082 0.194082 0.277556E-16 (Ur,Ur*,Error): 0.336295 0.336295 0.00000 (Us,Us*,Error): 0.577118 0.577118 0.444089E-15 (R,S): 0.156386 0.152482 (U,U*,Error): 0.238462E-01 0.238462E-01 0.693889E-17 (Ur,Ur*,Error): 0.152482 0.152482 0.277556E-16 (Us,Us*,Error): 0.156386 0.156386 0.277556E-16 (R,S): 0.997674 0.431299 (U,U*,Error): 0.430296 0.430296 0.555112E-16 (Ur,Ur*,Error): 0.431299 0.431299 0.222045E-15 (Us,Us*,Error): 0.997674 0.997674 0.222045E-15 (R,S): 0.795627 0.769694E-01 (U,U*,Error): 0.612390E-01 0.612390E-01 0.00000 (Ur,Ur*,Error): 0.769694E-01 0.769694E-01 0.693889E-16 (Us,Us*,Error): 0.795627 0.795627 0.222045E-15 (R,S): 0.624465 0.238834 (U,U*,Error): 0.149143 0.149143 0.555112E-16 (Ur,Ur*,Error): 0.238834 0.238834 0.277556E-16 (Us,Us*,Error): 0.624465 0.624465 0.111022E-15 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.111111 (R,S,U): 0.666667 0.00000 0.444444 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.444444 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.111111 (R,S,U): 0.666667 0.666667 0.444444 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.245892E-01 0.444605 (U,U*,Error): 0.604628E-03 0.604628E-03 0.140946E-17 (Ur,Ur*,Error): 0.491784E-01 0.491784E-01 0.346945E-16 (Us,Us*,Error): 0.00000 0.346945E-16 0.346945E-16 (R,S): 0.184794 0.295458 (U,U*,Error): 0.341490E-01 0.341490E-01 0.277556E-16 (Ur,Ur*,Error): 0.369589 0.369589 0.277556E-15 (Us,Us*,Error): 0.00000 0.208167E-16 0.208167E-16 (R,S): 0.474941 0.218352 (U,U*,Error): 0.225569 0.225569 0.277556E-16 (Ur,Ur*,Error): 0.949882 0.949882 0.00000 (Us,Us*,Error): 0.00000 -0.357353E-15 0.357353E-15 (R,S): 0.895816E-01 0.803488E-01 (U,U*,Error): 0.802487E-02 0.802487E-02 0.867362E-17 (Ur,Ur*,Error): 0.179163 0.179163 0.138778E-15 (Us,Us*,Error): 0.00000 0.589806E-16 0.589806E-16 (R,S): 0.725765 0.974281 (U,U*,Error): 0.526735 0.526735 0.111022E-15 (Ur,Ur*,Error): 1.45153 1.45153 0.444089E-15 (Us,Us*,Error): 0.00000 -0.172085E-14 0.172085E-14 Interpolate R ^ 0 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.370370E-01 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.370370E-01 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.296296 (R,S,U): 0.333333 0.666667 0.296296 (R,S,U): 0.666667 0.666667 0.296296 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.333333 1.00000 1.00000 (R,S,U): 0.666667 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.345355 0.943149 (U,U*,Error): 0.838960 0.838960 0.111022E-15 (Ur,Ur*,Error): 0.00000 -0.499600E-15 0.499600E-15 (Us,Us*,Error): 2.66859 2.66859 0.444089E-15 (R,S): 0.766291 0.506336 (U,U*,Error): 0.129813 0.129813 0.277556E-16 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.769130 0.769130 0.111022E-15 (R,S): 0.844391 0.439399E-01 (U,U*,Error): 0.848353E-04 0.848353E-04 0.352366E-18 (Ur,Ur*,Error): 0.00000 -0.416334E-16 0.416334E-16 (Us,Us*,Error): 0.579214E-02 0.579214E-02 0.148319E-15 (R,S): 0.705770 0.603287E-01 (U,U*,Error): 0.219570E-03 0.219570E-03 0.135525E-17 (Ur,Ur*,Error): 0.00000 -0.624500E-16 0.624500E-16 (Us,Us*,Error): 0.109187E-01 0.109187E-01 0.142247E-15 (R,S): 0.341137 0.476244 (U,U*,Error): 0.108016 0.108016 0.138778E-16 (Ur,Ur*,Error): 0.00000 -0.287964E-15 0.287964E-15 (Us,Us*,Error): 0.680425 0.680425 0.222045E-15 Interpolate R ^ 1 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.740741E-01 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.148148 (R,S,U): 0.666667 0.666667 0.296296 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.277435 0.663522 (U,U*,Error): 0.122144 0.122144 0.555112E-16 (Ur,Ur*,Error): 0.440261 0.440261 0.166533E-15 (Us,Us*,Error): 0.368168 0.368168 0.555112E-16 (R,S): 0.545271 0.979077 (U,U*,Error): 0.522692 0.522692 0.00000 (Ur,Ur*,Error): 0.958593 0.958593 0.144329E-14 (Us,Us*,Error): 1.06772 1.06772 0.666134E-15 (R,S): 0.606967 0.254117 (U,U*,Error): 0.391952E-01 0.391952E-01 0.693889E-17 (Ur,Ur*,Error): 0.645756E-01 0.645756E-01 0.152656E-15 (Us,Us*,Error): 0.308482 0.308482 0.166533E-15 (R,S): 0.675408E-01 0.736003 (U,U*,Error): 0.365869E-01 0.365869E-01 0.208167E-16 (Ur,Ur*,Error): 0.541701 0.541701 0.00000 (Us,Us*,Error): 0.994206E-01 0.994206E-01 0.138778E-16 (R,S): 0.358758 0.766648 (U,U*,Error): 0.210860 0.210860 0.00000 (Ur,Ur*,Error): 0.587750 0.587750 0.777156E-15 (Us,Us*,Error): 0.550083 0.550083 0.222045E-15 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.148148 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.740741E-01 (R,S,U): 0.666667 0.666667 0.296296 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.235368 0.719662 (U,U*,Error): 0.398681E-01 0.398681E-01 0.208167E-16 (Ur,Ur*,Error): 0.338772 0.338772 0.222045E-15 (Us,Us*,Error): 0.553983E-01 0.553983E-01 0.555112E-16 (R,S): 0.228453E-01 0.533435E-01 (U,U*,Error): 0.278403E-04 0.278403E-04 0.714896E-18 (Ur,Ur*,Error): 0.243729E-02 0.243729E-02 0.303577E-17 (Us,Us*,Error): 0.521906E-03 0.521906E-03 0.227682E-17 (R,S): 0.834021 0.780247 (U,U*,Error): 0.542734 0.542734 0.00000 (Ur,Ur*,Error): 1.30149 1.30149 0.111022E-14 (Us,Us*,Error): 0.695592 0.695592 0.222045E-15 (R,S): 0.363440 0.743163 (U,U*,Error): 0.981633E-01 0.981633E-01 0.00000 (Ur,Ur*,Error): 0.540190 0.540190 0.333067E-15 (Us,Us*,Error): 0.132089 0.132089 0.111022E-15 (R,S): 0.699541 0.187296E-01 (U,U*,Error): 0.916547E-02 0.916547E-02 0.00000 (Ur,Ur*,Error): 0.262042E-01 0.262042E-01 0.138778E-16 (Us,Us*,Error): 0.489357 0.489357 0.00000 Interpolate R ^ 3 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.370370E-01 (R,S,U): 0.666667 0.00000 0.296296 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.296296 (R,S,U): 1.00000 0.333333 1.00000 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.370370E-01 (R,S,U): 0.666667 0.666667 0.296296 (R,S,U): 1.00000 0.666667 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.306865 0.219041 (U,U*,Error): 0.288964E-01 0.288964E-01 0.346945E-17 (Ur,Ur*,Error): 0.282499 0.282499 0.166533E-15 (Us,Us*,Error): 0.00000 -0.719910E-16 0.719910E-16 (R,S): 0.439450 0.182986 (U,U*,Error): 0.848649E-01 0.848649E-01 0.277556E-16 (Ur,Ur*,Error): 0.579349 0.579349 0.111022E-15 (Us,Us*,Error): 0.00000 -0.117961E-15 0.117961E-15 (R,S): 0.901912 0.485568 (U,U*,Error): 0.733656 0.733656 0.00000 (Ur,Ur*,Error): 2.44034 2.44034 0.444089E-15 (Us,Us*,Error): 0.00000 -0.624500E-15 0.624500E-15 (R,S): 0.720135 0.100878 (U,U*,Error): 0.373458 0.373458 0.555112E-16 (Ur,Ur*,Error): 1.55578 1.55578 0.666134E-15 (Us,Us*,Error): 0.00000 -0.227249E-15 0.227249E-15 (R,S): 0.875446 0.871451 (U,U*,Error): 0.670948 0.670948 0.111022E-15 (Ur,Ur*,Error): 2.29922 2.29922 0.444089E-15 (Us,Us*,Error): 0.00000 -0.111022E-14 0.111022E-14 Interpolate R ^ 1 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.123457E-01 (R,S,U): 0.666667 0.333333 0.246914E-01 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.987654E-01 (R,S,U): 0.666667 0.666667 0.197531 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.333333 (R,S,U): 0.666667 1.00000 0.666667 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.338350 0.171777 (U,U*,Error): 0.171498E-02 0.171498E-02 0.433681E-18 (Ur,Ur*,Error): 0.506867E-02 0.506867E-02 0.173472E-16 (Us,Us*,Error): 0.299514E-01 0.299514E-01 0.208167E-16 (R,S): 0.880198 0.584690 (U,U*,Error): 0.175937 0.175937 0.277556E-16 (Ur,Ur*,Error): 0.199884 0.199884 0.832667E-16 (Us,Us*,Error): 0.902720 0.902720 0.111022E-15 (R,S): 0.521490 0.518417 (U,U*,Error): 0.726580E-01 0.726580E-01 0.138778E-16 (Ur,Ur*,Error): 0.139328 0.139328 0.111022E-15 (Us,Us*,Error): 0.420461 0.420461 0.111022E-15 (R,S): 0.906386 0.788724 (U,U*,Error): 0.444721 0.444721 0.222045E-15 (Ur,Ur*,Error): 0.490654 0.490654 0.666134E-15 (Us,Us*,Error): 1.69155 1.69155 0.444089E-15 (R,S): 0.171708 0.799911 (U,U*,Error): 0.878851E-01 0.878851E-01 0.00000 (Ur,Ur*,Error): 0.511829 0.511829 0.222045E-15 (Us,Us*,Error): 0.329606 0.329606 0.166533E-15 Interpolate R ^ 2 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.123457E-01 (R,S,U): 0.666667 0.333333 0.493827E-01 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.493827E-01 (R,S,U): 0.666667 0.666667 0.197531 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.551399 0.264542 (U,U*,Error): 0.212775E-01 0.212775E-01 0.693889E-17 (Ur,Ur*,Error): 0.771766E-01 0.771766E-01 0.138778E-16 (Us,Us*,Error): 0.160863 0.160863 0.832667E-16 (R,S): 0.349275 0.491178 (U,U*,Error): 0.294316E-01 0.294316E-01 0.104083E-16 (Ur,Ur*,Error): 0.168530 0.168530 0.832667E-16 (Us,Us*,Error): 0.119841 0.119841 0.138778E-16 (R,S): 0.139717 0.893842 (U,U*,Error): 0.155963E-01 0.155963E-01 0.173472E-17 (Ur,Ur*,Error): 0.223255 0.223255 0.832667E-16 (Us,Us*,Error): 0.348972E-01 0.348972E-01 0.138778E-15 (R,S): 0.415033 0.590011 (U,U*,Error): 0.599634E-01 0.599634E-01 0.693889E-17 (Ur,Ur*,Error): 0.288957 0.288957 0.277556E-15 (Us,Us*,Error): 0.203262 0.203262 0.277556E-16 (R,S): 0.434145 0.298334 (U,U*,Error): 0.167755E-01 0.167755E-01 0.00000 (Ur,Ur*,Error): 0.772808E-01 0.772808E-01 0.277556E-16 (Us,Us*,Error): 0.112461 0.112461 0.138778E-15 Interpolate R ^ 3 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.123457E-01 (R,S,U): 0.666667 0.333333 0.987654E-01 (R,S,U): 1.00000 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.246914E-01 (R,S,U): 0.666667 0.666667 0.197531 (R,S,U): 1.00000 0.666667 0.666667 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.802049 0.519288 (U,U*,Error): 0.267923 0.267923 0.555112E-16 (Ur,Ur*,Error): 1.00215 1.00215 0.00000 (Us,Us*,Error): 0.515943 0.515943 0.111022E-15 (R,S): 0.942802 0.768486 (U,U*,Error): 0.644017 0.644017 0.111022E-15 (Ur,Ur*,Error): 2.04927 2.04927 0.133227E-14 (Us,Us*,Error): 0.838034 0.838034 0.111022E-14 (R,S): 0.841876 0.548628 (U,U*,Error): 0.327358 0.327358 0.111022E-15 (Ur,Ur*,Error): 1.16653 1.16653 0.222045E-15 (Us,Us*,Error): 0.596684 0.596684 0.555112E-15 (R,S): 0.739571 0.694486 (U,U*,Error): 0.280933 0.280933 0.555112E-16 (Ur,Ur*,Error): 1.13958 1.13958 0.222045E-15 (Us,Us*,Error): 0.404520 0.404520 0.555112E-16 (R,S): 0.538407 0.777584 (U,U*,Error): 0.121361 0.121361 0.277556E-16 (Ur,Ur*,Error): 0.676223 0.676223 0.222045E-15 (Us,Us*,Error): 0.156075 0.156075 0.555112E-16 Interpolate R ^ 2 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.411523E-02 (R,S,U): 0.666667 0.333333 0.164609E-01 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.329218E-01 (R,S,U): 0.666667 0.666667 0.131687 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.111111 (R,S,U): 0.666667 1.00000 0.444444 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.204963 0.401958 (U,U*,Error): 0.272831E-02 0.272831E-02 0.00000 (Ur,Ur*,Error): 0.266224E-01 0.266224E-01 0.242861E-16 (Us,Us*,Error): 0.203627E-01 0.203627E-01 0.693889E-17 (R,S): 0.240296 0.951830 (U,U*,Error): 0.497932E-01 0.497932E-01 0.138778E-16 (Ur,Ur*,Error): 0.414433 0.414433 0.277556E-15 (Us,Us*,Error): 0.156939 0.156939 0.111022E-15 (R,S): 0.341593 0.780075 (U,U*,Error): 0.553896E-01 0.553896E-01 0.693889E-17 (Ur,Ur*,Error): 0.324301 0.324301 0.111022E-15 (Us,Us*,Error): 0.213016 0.213016 0.138778E-15 (R,S): 0.495504E-01 0.201962 (U,U*,Error): 0.202255E-04 0.202255E-04 0.582759E-18 (Ur,Ur*,Error): 0.816363E-03 0.816363E-03 0.159378E-16 (Us,Us*,Error): 0.300436E-03 0.300436E-03 0.477049E-17 (R,S): 0.679204 0.437385 (U,U*,Error): 0.386005E-01 0.386005E-01 0.693889E-17 (Ur,Ur*,Error): 0.113664 0.113664 0.416334E-16 (Us,Us*,Error): 0.264759 0.264759 0.166533E-15 Interpolate R ^ 3 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.411523E-02 (R,S,U): 0.666667 0.333333 0.329218E-01 (R,S,U): 1.00000 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.164609E-01 (R,S,U): 0.666667 0.666667 0.131687 (R,S,U): 1.00000 0.666667 0.444444 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.238022 0.198793 (U,U*,Error): 0.532913E-03 0.532913E-03 0.151788E-17 (Ur,Ur*,Error): 0.671677E-02 0.671677E-02 0.173472E-17 (Us,Us*,Error): 0.536148E-02 0.536148E-02 0.346945E-17 (R,S): 0.227786 0.134688 (U,U*,Error): 0.214407E-03 0.214407E-03 0.262919E-17 (Ur,Ur*,Error): 0.282379E-02 0.282379E-02 0.693889E-17 (Us,Us*,Error): 0.318376E-02 0.318376E-02 0.346945E-17 (R,S): 0.864998 0.498850 (U,U*,Error): 0.161059 0.161059 0.00000 (Ur,Ur*,Error): 0.558588 0.558588 0.222045E-15 (Us,Us*,Error): 0.645722 0.645722 0.111022E-15 (R,S): 0.329781 0.522135 (U,U*,Error): 0.977785E-02 0.977785E-02 0.346945E-17 (Ur,Ur*,Error): 0.889485E-01 0.889485E-01 0.971445E-16 (Us,Us*,Error): 0.374534E-01 0.374534E-01 0.138778E-16 (R,S): 0.965516 0.414045 (U,U*,Error): 0.154303 0.154303 0.277556E-16 (Ur,Ur*,Error): 0.479442 0.479442 0.222045E-15 (Us,Us*,Error): 0.745343 0.745343 0.111022E-15 Interpolate R ^ 3 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.137174E-02 (R,S,U): 0.666667 0.333333 0.109739E-01 (R,S,U): 1.00000 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.109739E-01 (R,S,U): 0.666667 0.666667 0.877915E-01 (R,S,U): 1.00000 0.666667 0.296296 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.333333 1.00000 0.370370E-01 (R,S,U): 0.666667 1.00000 0.296296 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.250333 0.311537 (U,U*,Error): 0.474332E-03 0.474332E-03 0.271051E-18 (Ur,Ur*,Error): 0.568441E-02 0.568441E-02 0.346945E-17 (Us,Us*,Error): 0.456767E-02 0.456767E-02 0.104083E-16 (R,S): 0.964780 0.472579 (U,U*,Error): 0.947781E-01 0.947781E-01 0.416334E-16 (Ur,Ur*,Error): 0.294714 0.294714 0.555112E-16 (Us,Us*,Error): 0.601665 0.601665 0.111022E-15 (R,S): 0.188831 0.505273 (U,U*,Error): 0.868555E-03 0.868555E-03 0.130104E-17 (Ur,Ur*,Error): 0.137989E-01 0.137989E-01 0.121431E-16 (Us,Us*,Error): 0.515694E-02 0.515694E-02 0.104083E-16 (R,S): 0.348095 0.164329E-02 (U,U*,Error): 0.187169E-09 0.187169E-09 0.304395E-20 (Ur,Ur*,Error): 0.161309E-08 0.161309E-08 0.420446E-18 (Us,Us*,Error): 0.341698E-06 0.341698E-06 0.209318E-17 (R,S): 0.232016 0.323816 (U,U*,Error): 0.424084E-03 0.424084E-03 0.108420E-18 (Ur,Ur*,Error): 0.548346E-02 0.548346E-02 0.867362E-18 (Us,Us*,Error): 0.392893E-02 0.392893E-02 0.190820E-16 INTERP_TEST for element "QL". Element order = 6 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 0.500000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.482582 0.505443 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.00000 0.242861E-16 0.242861E-16 (R,S): 0.761351 0.524830 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.222045E-15 0.222045E-15 (Us,Us*,Error): 0.00000 -0.555112E-16 0.555112E-16 (R,S): 0.363556 0.947236 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 -0.693889E-16 0.693889E-16 (R,S): 0.404038 0.513272E-01 (U,U*,Error): 1.00000 1.00000 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.111022E-15 0.111022E-15 (Us,Us*,Error): 0.00000 -0.138778E-16 0.138778E-16 (R,S): 0.530523E-01 0.475829 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 -0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.00000 0.693889E-17 0.693889E-17 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 1.00000 1.00000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.562471 0.247653 (U,U*,Error): 0.247653 0.247653 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.885177 0.839649 (U,U*,Error): 0.839649 0.839649 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.484318 0.743970 (U,U*,Error): 0.743970 0.743970 0.111022E-15 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.618068E-01 0.177102E-02 (U,U*,Error): 0.177102E-02 0.177102E-02 0.00000 (Ur,Ur*,Error): 0.00000 0.433681E-18 0.433681E-18 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.211724 0.490357 (U,U*,Error): 0.490357 0.490357 0.555112E-16 (Ur,Ur*,Error): 0.00000 0.124900E-15 0.124900E-15 (Us,Us*,Error): 1.00000 1.00000 0.00000 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.500000 0.00000 0.500000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.690721 0.581858 (U,U*,Error): 0.690721 0.690721 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.548228 0.183105 (U,U*,Error): 0.548228 0.548228 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.138778E-16 0.138778E-16 (R,S): 0.289493 0.481034 (U,U*,Error): 0.289493 0.289493 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.138778E-16 0.138778E-16 (R,S): 0.582017 0.884735 (U,U*,Error): 0.582017 0.582017 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.111022E-15 (Us,Us*,Error): 0.00000 0.277556E-16 0.277556E-16 (R,S): 0.627283 0.509079E-02 (U,U*,Error): 0.627283 0.627283 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.111022E-15 (Us,Us*,Error): 0.00000 -0.277556E-16 0.277556E-16 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 1.00000 0.500000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.191147 0.171628 (U,U*,Error): 0.328062E-01 0.328062E-01 0.693889E-17 (Ur,Ur*,Error): 0.171628 0.171628 0.00000 (Us,Us*,Error): 0.191147 0.191147 0.00000 (R,S): 0.856284 0.227854 (U,U*,Error): 0.195107 0.195107 0.00000 (Ur,Ur*,Error): 0.227854 0.227854 0.555112E-16 (Us,Us*,Error): 0.856284 0.856284 0.00000 (R,S): 0.632603 0.311017 (U,U*,Error): 0.196750 0.196750 0.00000 (Ur,Ur*,Error): 0.311017 0.311017 0.00000 (Us,Us*,Error): 0.632603 0.632603 0.00000 (R,S): 0.924721 0.105716 (U,U*,Error): 0.977576E-01 0.977576E-01 0.00000 (Ur,Ur*,Error): 0.105716 0.105716 0.277556E-16 (Us,Us*,Error): 0.924721 0.924721 0.00000 (R,S): 0.534466 0.989323E-01 (U,U*,Error): 0.528759E-01 0.528759E-01 0.00000 (Ur,Ur*,Error): 0.989323E-01 0.989323E-01 0.00000 (Us,Us*,Error): 0.534466 0.534466 0.00000 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.500000 0.00000 0.250000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.582670 0.608902 (U,U*,Error): 0.339504 0.339504 0.00000 (Ur,Ur*,Error): 1.16534 1.16534 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.647662 0.526673 (U,U*,Error): 0.419466 0.419466 0.00000 (Ur,Ur*,Error): 1.29532 1.29532 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.887455 0.743956 (U,U*,Error): 0.787576 0.787576 0.00000 (Ur,Ur*,Error): 1.77491 1.77491 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.145273 0.382610 (U,U*,Error): 0.211043E-01 0.211043E-01 0.346945E-17 (Ur,Ur*,Error): 0.290546 0.290546 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.400940 0.547714 (U,U*,Error): 0.160753 0.160753 0.00000 (Ur,Ur*,Error): 0.801880 0.801880 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 1.00000 0.250000 (R,S,U): 1.00000 1.00000 1.00000 (R,S): 0.673373 0.299040 (U,U*,Error): 0.135594 0.135594 0.277556E-16 (Ur,Ur*,Error): 0.402731 0.402731 0.00000 (Us,Us*,Error): 0.453432 0.453432 0.555112E-16 (R,S): 0.333001 0.187045 (U,U*,Error): 0.207414E-01 0.207414E-01 0.346945E-17 (Ur,Ur*,Error): 0.124572 0.124572 0.138778E-16 (Us,Us*,Error): 0.110890 0.110890 0.00000 (R,S): 0.391183 0.415365 (U,U*,Error): 0.635609E-01 0.635609E-01 0.138778E-16 (Ur,Ur*,Error): 0.324968 0.324968 0.00000 (Us,Us*,Error): 0.153024 0.153024 0.277556E-16 (R,S): 0.856641 0.245900 (U,U*,Error): 0.180450 0.180450 0.00000 (Ur,Ur*,Error): 0.421296 0.421296 0.00000 (Us,Us*,Error): 0.733833 0.733833 0.00000 (R,S): 0.958139 0.696077 (U,U*,Error): 0.639019 0.639019 0.00000 (Ur,Ur*,Error): 1.33388 1.33388 0.00000 (Us,Us*,Error): 0.918030 0.918030 0.111022E-15 INTERP_TEST for element "T3". Element order = 3 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.107217 0.719768 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.250304 0.133021 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.171641 0.674047 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.448541 0.413953 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.193094 0.705778 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.228256 0.584704 (U,U*,Error): 0.584704 0.584704 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.337577 0.229597E-01 (U,U*,Error): 0.229597E-01 0.229597E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.801373 0.122180 (U,U*,Error): 0.122180 0.122180 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.164425 0.536642 (U,U*,Error): 0.536642 0.536642 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.159707 0.832284 (U,U*,Error): 0.832284 0.832284 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.760875 0.130653 (U,U*,Error): 0.760875 0.760875 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.522192 0.122787 (U,U*,Error): 0.522192 0.522192 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.167563 0.383393 (U,U*,Error): 0.167563 0.167563 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.120927 0.434076 (U,U*,Error): 0.120927 0.120927 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.351737 0.219273 (U,U*,Error): 0.351737 0.351737 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 INTERP_TEST - Warning! Skipping test for element "T4". INTERP_TEST for element "T6". Element order = 6 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 1.00000 (R,S,U): 0.500000 0.500000 1.00000 (R,S,U): 0.00000 0.500000 1.00000 (R,S): 0.245319 0.222210 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.223213 0.332213 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.248153 0.507880 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.180359E-01 0.495151 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.173346 0.314522 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 0.500000 0.500000 0.500000 (R,S,U): 0.00000 0.500000 0.500000 (R,S): 0.157920 0.764769E-01 (U,U*,Error): 0.764769E-01 0.764769E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.718940 0.203424 (U,U*,Error): 0.203424 0.203424 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.213609 0.179232E-01 (U,U*,Error): 0.179232E-01 0.179232E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.370448 0.231447 (U,U*,Error): 0.231447 0.231447 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 (R,S): 0.154329 0.330657E-01 (U,U*,Error): 0.330657E-01 0.330657E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.00000 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.500000 (R,S,U): 0.500000 0.500000 0.500000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.244510 0.237668 (U,U*,Error): 0.244510 0.244510 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.446302 0.153111 (U,U*,Error): 0.446302 0.446302 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.357359 0.615829 (U,U*,Error): 0.357359 0.357359 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.325892 0.576195 (U,U*,Error): 0.325892 0.325892 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.900173E-01 0.374739 (U,U*,Error): 0.900173E-01 0.900173E-01 0.138778E-16 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 0.500000 0.500000 0.250000 (R,S,U): 0.00000 0.500000 0.250000 (R,S): 0.265709E-01 0.473194 (U,U*,Error): 0.223913 0.223913 0.277556E-16 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.946389 0.946389 0.00000 (R,S): 0.124157 0.780655 (U,U*,Error): 0.609422 0.609422 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.56131 1.56131 0.00000 (R,S): 0.308430 0.175011 (U,U*,Error): 0.306287E-01 0.306287E-01 0.104083E-16 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.350021 0.350021 0.00000 (R,S): 0.465733E-01 0.130419 (U,U*,Error): 0.170092E-01 0.170092E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.260839 0.260839 0.00000 (R,S): 0.335047 0.110628 (U,U*,Error): 0.122385E-01 0.122385E-01 0.867362E-17 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.221255 0.221255 0.00000 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.00000 (R,S,U): 0.500000 0.500000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.961970E-01 0.585259 (U,U*,Error): 0.563002E-01 0.563002E-01 0.00000 (Ur,Ur*,Error): 0.585259 0.585259 0.00000 (Us,Us*,Error): 0.961970E-01 0.961970E-01 0.00000 (R,S): 0.693304 0.128692 (U,U*,Error): 0.892228E-01 0.892228E-01 0.00000 (Ur,Ur*,Error): 0.128692 0.128692 0.00000 (Us,Us*,Error): 0.693304 0.693304 0.00000 (R,S): 0.109154 0.237437 (U,U*,Error): 0.259172E-01 0.259172E-01 0.00000 (Ur,Ur*,Error): 0.237437 0.237437 0.00000 (Us,Us*,Error): 0.109154 0.109154 0.00000 (R,S): 0.526092 0.458534 (U,U*,Error): 0.241231 0.241231 0.00000 (Ur,Ur*,Error): 0.458534 0.458534 0.00000 (Us,Us*,Error): 0.526092 0.526092 0.00000 (R,S): 0.343829 0.169290E-01 (U,U*,Error): 0.582067E-02 0.582067E-02 0.00000 (Ur,Ur*,Error): 0.169290E-01 0.169290E-01 0.00000 (Us,Us*,Error): 0.343829 0.343829 0.00000 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 1.00000 0.00000 (R,S,U): 0.500000 0.00000 0.250000 (R,S,U): 0.500000 0.500000 0.250000 (R,S,U): 0.00000 0.500000 0.00000 (R,S): 0.912681E-01 0.285946 (U,U*,Error): 0.832986E-02 0.832986E-02 0.867362E-17 (Ur,Ur*,Error): 0.182536 0.182536 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.352631 0.125679 (U,U*,Error): 0.124349 0.124349 0.138778E-16 (Ur,Ur*,Error): 0.705262 0.705262 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.416993 0.221048 (U,U*,Error): 0.173883 0.173883 0.277556E-16 (Ur,Ur*,Error): 0.833985 0.833985 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.474842E-01 0.266640 (U,U*,Error): 0.225475E-02 0.225475E-02 0.390313E-17 (Ur,Ur*,Error): 0.949685E-01 0.949685E-01 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.135876 0.468345 (U,U*,Error): 0.184622E-01 0.184622E-01 0.104083E-16 (Ur,Ur*,Error): 0.271751 0.271751 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 INTERP_TEST for element "T10". Element order = 10 Interpolate R ^ 0 * S ^ 0 (R,S,U): 0.00000 0.00000 1.00000 (R,S,U): 0.333333 0.00000 1.00000 (R,S,U): 0.666667 0.00000 1.00000 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 1.00000 (R,S,U): 0.333333 0.333333 1.00000 (R,S,U): 0.666667 0.333333 1.00000 (R,S,U): 0.00000 0.666667 1.00000 (R,S,U): 0.333333 0.666667 1.00000 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.170772 0.796175 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.888178E-15 0.888178E-15 (Us,Us*,Error): 0.00000 -0.888178E-15 0.888178E-15 (R,S): 0.158710 0.766395 (U,U*,Error): 1.00000 1.00000 0.222045E-15 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.00000 -0.888178E-15 0.888178E-15 (R,S): 0.664037 0.139895 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.155431E-14 0.155431E-14 (Us,Us*,Error): 0.00000 -0.187350E-15 0.187350E-15 (R,S): 0.362126E-01 0.709579 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.444089E-15 0.444089E-15 (Us,Us*,Error): 0.00000 0.310862E-14 0.310862E-14 (R,S): 0.300265 0.444506 (U,U*,Error): 1.00000 1.00000 0.00000 (Ur,Ur*,Error): 0.00000 0.222045E-15 0.222045E-15 (Us,Us*,Error): 0.00000 0.194289E-14 0.194289E-14 Interpolate R ^ 0 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.333333 (R,S,U): 0.333333 0.333333 0.333333 (R,S,U): 0.666667 0.333333 0.333333 (R,S,U): 0.00000 0.666667 0.666667 (R,S,U): 0.333333 0.666667 0.666667 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.244126E-02 0.192321 (U,U*,Error): 0.192321 0.192321 0.277556E-16 (Ur,Ur*,Error): 0.00000 0.222045E-15 0.222045E-15 (Us,Us*,Error): 1.00000 1.00000 0.666134E-15 (R,S): 0.627299 0.242237 (U,U*,Error): 0.242237 0.242237 0.277556E-16 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 1.00000 1.00000 0.111022E-15 (R,S): 0.588134 0.405639 (U,U*,Error): 0.405639 0.405639 0.00000 (Ur,Ur*,Error): 0.00000 0.444089E-15 0.444089E-15 (Us,Us*,Error): 1.00000 1.00000 0.444089E-15 (R,S): 0.519006 0.356679 (U,U*,Error): 0.356679 0.356679 0.00000 (Ur,Ur*,Error): 0.00000 0.222045E-15 0.222045E-15 (Us,Us*,Error): 1.00000 1.00000 0.222045E-15 (R,S): 0.348165 0.368254 (U,U*,Error): 0.368254 0.368254 0.00000 (Ur,Ur*,Error): 0.00000 0.111022E-15 0.111022E-15 (Us,Us*,Error): 1.00000 1.00000 0.444089E-15 Interpolate R ^ 1 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.333333 (R,S,U): 0.666667 0.00000 0.666667 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.333333 (R,S,U): 0.666667 0.333333 0.666667 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.333333 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.557941 0.199589 (U,U*,Error): 0.557941 0.557941 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.111022E-14 (Us,Us*,Error): 0.00000 0.111022E-15 0.111022E-15 (R,S): 0.908923 0.119307E-01 (U,U*,Error): 0.908923 0.908923 0.111022E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.177636E-14 (Us,Us*,Error): 0.00000 -0.444089E-15 0.444089E-15 (R,S): 0.758128 0.170355 (U,U*,Error): 0.758128 0.758128 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.444089E-15 (Us,Us*,Error): 0.00000 0.112757E-14 0.112757E-14 (R,S): 0.177935 0.539384 (U,U*,Error): 0.177935 0.177935 0.00000 (Ur,Ur*,Error): 1.00000 1.00000 0.00000 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.699169 0.274579 (U,U*,Error): 0.699169 0.699169 0.111022E-15 (Ur,Ur*,Error): 1.00000 1.00000 0.444089E-15 (Us,Us*,Error): 0.00000 -0.333067E-15 0.333067E-15 Interpolate R ^ 0 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.111111 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.111111 (R,S,U): 0.00000 0.666667 0.444444 (R,S,U): 0.333333 0.666667 0.444444 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.484338 0.100384 (U,U*,Error): 0.100769E-01 0.100769E-01 0.346945E-17 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.200767 0.200767 0.277556E-15 (R,S): 0.463979 0.128077 (U,U*,Error): 0.164037E-01 0.164037E-01 0.208167E-16 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.256154 0.256154 0.222045E-15 (R,S): 0.238934 0.731573E-01 (U,U*,Error): 0.535200E-02 0.535200E-02 0.867362E-18 (Ur,Ur*,Error): 0.00000 0.277556E-16 0.277556E-16 (Us,Us*,Error): 0.146315 0.146315 0.555112E-16 (R,S): 0.326511 0.209488 (U,U*,Error): 0.438851E-01 0.438851E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 -0.277556E-16 0.277556E-16 (Us,Us*,Error): 0.418975 0.418975 0.111022E-15 (R,S): 0.280624 0.498179 (U,U*,Error): 0.248182 0.248182 0.00000 (Ur,Ur*,Error): 0.00000 0.555112E-16 0.555112E-16 (Us,Us*,Error): 0.996357 0.996357 0.888178E-15 Interpolate R ^ 1 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.222222 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.222222 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.354770 0.401626E-03 (U,U*,Error): 0.142485E-03 0.142485E-03 0.00000 (Ur,Ur*,Error): 0.401626E-03 0.401626E-03 0.542101E-19 (Us,Us*,Error): 0.354770 0.354770 0.00000 (R,S): 0.731693 0.151540 (U,U*,Error): 0.110881 0.110881 0.00000 (Ur,Ur*,Error): 0.151540 0.151540 0.555112E-16 (Us,Us*,Error): 0.731693 0.731693 0.00000 (R,S): 0.292371 0.355904 (U,U*,Error): 0.104056 0.104056 0.00000 (Ur,Ur*,Error): 0.355904 0.355904 0.00000 (Us,Us*,Error): 0.292371 0.292371 0.555112E-16 (R,S): 0.413680 0.222782 (U,U*,Error): 0.921607E-01 0.921607E-01 0.00000 (Ur,Ur*,Error): 0.222782 0.222782 0.555112E-16 (Us,Us*,Error): 0.413680 0.413680 0.555112E-16 (R,S): 0.400696 0.309537 (U,U*,Error): 0.124030 0.124030 0.277556E-16 (Ur,Ur*,Error): 0.309537 0.309537 0.00000 (Us,Us*,Error): 0.400696 0.400696 0.555112E-16 Interpolate R ^ 2 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.111111 (R,S,U): 0.666667 0.00000 0.444444 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.111111 (R,S,U): 0.666667 0.333333 0.444444 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.111111 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.413893 0.386687 (U,U*,Error): 0.171307 0.171307 0.277556E-16 (Ur,Ur*,Error): 0.827786 0.827786 0.111022E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.168048 0.601492 (U,U*,Error): 0.282401E-01 0.282401E-01 0.208167E-16 (Ur,Ur*,Error): 0.336096 0.336096 0.222045E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.499764 0.466350 (U,U*,Error): 0.249764 0.249764 0.277556E-16 (Ur,Ur*,Error): 0.999527 0.999527 0.222045E-15 (Us,Us*,Error): 0.00000 0.00000 0.00000 (R,S): 0.192345 0.800938 (U,U*,Error): 0.369966E-01 0.369966E-01 0.693889E-17 (Ur,Ur*,Error): 0.384690 0.384690 0.111022E-15 (Us,Us*,Error): 0.00000 0.111022E-15 0.111022E-15 (R,S): 0.751904 0.102705 (U,U*,Error): 0.565360 0.565360 0.00000 (Ur,Ur*,Error): 1.50381 1.50381 0.111022E-14 (Us,Us*,Error): 0.00000 0.249800E-15 0.249800E-15 Interpolate R ^ 0 * S ^ 3 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.370370E-01 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.370370E-01 (R,S,U): 0.00000 0.666667 0.296296 (R,S,U): 0.333333 0.666667 0.296296 (R,S,U): 0.00000 1.00000 1.00000 (R,S): 0.475965 0.123122 (U,U*,Error): 0.186643E-02 0.186643E-02 0.910730E-17 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.454773E-01 0.454773E-01 0.111022E-15 (R,S): 0.482417 0.350051 (U,U*,Error): 0.428938E-01 0.428938E-01 0.00000 (Ur,Ur*,Error): 0.00000 0.416334E-16 0.416334E-16 (Us,Us*,Error): 0.367607 0.367607 0.277556E-15 (R,S): 0.349726 0.336997 (U,U*,Error): 0.382718E-01 0.382718E-01 0.693889E-17 (Ur,Ur*,Error): 0.00000 0.693889E-17 0.693889E-17 (Us,Us*,Error): 0.340702 0.340702 0.111022E-15 (R,S): 0.119620 0.751635E-01 (U,U*,Error): 0.424640E-03 0.424640E-03 0.174557E-16 (Ur,Ur*,Error): 0.00000 0.138778E-16 0.138778E-16 (Us,Us*,Error): 0.169487E-01 0.169487E-01 0.485723E-16 (R,S): 0.215624 0.539597 (U,U*,Error): 0.157112 0.157112 0.00000 (Ur,Ur*,Error): 0.00000 0.00000 0.00000 (Us,Us*,Error): 0.873495 0.873495 0.444089E-15 Interpolate R ^ 1 * S ^ 2 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.740741E-01 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.148148 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.381454 0.283607 (U,U*,Error): 0.306813E-01 0.306813E-01 0.346945E-17 (Ur,Ur*,Error): 0.804327E-01 0.804327E-01 0.00000 (Us,Us*,Error): 0.216366 0.216366 0.277556E-16 (R,S): 0.661424 0.269981 (U,U*,Error): 0.482110E-01 0.482110E-01 0.138778E-16 (Ur,Ur*,Error): 0.728897E-01 0.728897E-01 0.416334E-16 (Us,Us*,Error): 0.357144 0.357144 0.00000 (R,S): 0.591292 0.582047E-02 (U,U*,Error): 0.200317E-04 0.200317E-04 0.189735E-18 (Ur,Ur*,Error): 0.338779E-04 0.338779E-04 0.548877E-18 (Us,Us*,Error): 0.688320E-02 0.688320E-02 0.676542E-16 (R,S): 0.225171E-01 0.586739 (U,U*,Error): 0.775178E-02 0.775178E-02 0.00000 (Ur,Ur*,Error): 0.344262 0.344262 0.555112E-16 (Us,Us*,Error): 0.264233E-01 0.264233E-01 0.693889E-17 (R,S): 0.271209 0.324168 (U,U*,Error): 0.284999E-01 0.284999E-01 0.104083E-16 (Ur,Ur*,Error): 0.105085 0.105085 0.138778E-16 (Us,Us*,Error): 0.175834 0.175834 0.277556E-16 Interpolate R ^ 2 * S ^ 1 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.00000 (R,S,U): 0.666667 0.00000 0.00000 (R,S,U): 1.00000 0.00000 0.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.148148 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.740741E-01 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.172317 0.112281 (U,U*,Error): 0.333397E-02 0.333397E-02 0.00000 (Ur,Ur*,Error): 0.386958E-01 0.386958E-01 0.693889E-17 (Us,Us*,Error): 0.296931E-01 0.296931E-01 0.693889E-17 (R,S): 0.123239 0.359323 (U,U*,Error): 0.545737E-02 0.545737E-02 0.346945E-17 (Ur,Ur*,Error): 0.885654E-01 0.885654E-01 0.138778E-16 (Us,Us*,Error): 0.151879E-01 0.151879E-01 0.520417E-17 (R,S): 0.581667 0.107288 (U,U*,Error): 0.362994E-01 0.362994E-01 0.00000 (Ur,Ur*,Error): 0.124812 0.124812 0.277556E-16 (Us,Us*,Error): 0.338337 0.338337 0.00000 (R,S): 0.184691 0.697898 (U,U*,Error): 0.238059E-01 0.238059E-01 0.00000 (Ur,Ur*,Error): 0.257791 0.257791 0.555112E-16 (Us,Us*,Error): 0.341109E-01 0.341109E-01 0.208167E-16 (R,S): 0.841109E-01 0.170848 (U,U*,Error): 0.120869E-02 0.120869E-02 0.173472E-17 (Ur,Ur*,Error): 0.287403E-01 0.287403E-01 0.693889E-17 (Us,Us*,Error): 0.707464E-02 0.707464E-02 0.433681E-17 Interpolate R ^ 3 * S ^ 0 (R,S,U): 0.00000 0.00000 0.00000 (R,S,U): 0.333333 0.00000 0.370370E-01 (R,S,U): 0.666667 0.00000 0.296296 (R,S,U): 1.00000 0.00000 1.00000 (R,S,U): 0.00000 0.333333 0.00000 (R,S,U): 0.333333 0.333333 0.370370E-01 (R,S,U): 0.666667 0.333333 0.296296 (R,S,U): 0.00000 0.666667 0.00000 (R,S,U): 0.333333 0.666667 0.370370E-01 (R,S,U): 0.00000 1.00000 0.00000 (R,S): 0.741369 0.304671E-01 (U,U*,Error): 0.407477 0.407477 0.111022E-15 (Ur,Ur*,Error): 1.64888 1.64888 0.222045E-15 (Us,Us*,Error): 0.00000 -0.138778E-16 0.138778E-16 (R,S): 0.645560 0.259637 (U,U*,Error): 0.269036 0.269036 0.555112E-16 (Ur,Ur*,Error): 1.25024 1.25024 0.444089E-15 (Us,Us*,Error): 0.00000 -0.624500E-16 0.624500E-16 (R,S): 0.281557 0.316135 (U,U*,Error): 0.223201E-01 0.223201E-01 0.00000 (Ur,Ur*,Error): 0.237822 0.237822 0.222045E-15 (Us,Us*,Error): 0.00000 0.138778E-16 0.138778E-16 (R,S): 0.372521 0.614978 (U,U*,Error): 0.516954E-01 0.516954E-01 0.00000 (Ur,Ur*,Error): 0.416315 0.416315 0.333067E-15 (Us,Us*,Error): 0.00000 0.277556E-16 0.277556E-16 (R,S): 0.733784E-01 0.258956 (U,U*,Error): 0.395098E-03 0.395098E-03 0.227682E-17 (Ur,Ur*,Error): 0.161532E-01 0.161532E-01 0.312250E-16 (Us,Us*,Error): 0.00000 -0.607153E-17 0.607153E-17 TEST13 MAP_TEST tests the map routines. MAP_TEST: interpolation matrix for element "Q4". The interpolation matrix: Col 1 2 3 4 Row 1 1. 0. -0. 0. 2 -1. 0. 0. 1. 3 -1. 1. 0. 0. 4 1. -1. 1. -1. MAP_TEST: interpolation matrix for element "Q8". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. 0. 0. 0. 0. 2 -3. 0. 0. -1. 0. 3 -3. -1. 0. 0. 4. 4 2. 0. 0. 2. 0. 5 5. -1. -3. -1. -4. 6 2. 2. 0. 0. -4. 7 -2. 2. 2. -2. 0. 8 -2. -2. 2. 2. 4. Col 6 7 8 Row 1 0. 0. -0. 2 0. 0. 4. 3 0. 0. -0. 4 0. 0. -4. 5 4. 4. -4. 6 0. 0. -0. 7 -4. 0. 4. 8 0. -4. 0. MAP_TEST: interpolation matrix for element "Q9". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. 0. 0. 0. 0. 2 -3. 0. 0. -1. 0. 3 -3. -1. 0. 0. 4. 4 2. 0. 0. 2. 0. 5 9. 3. 1. 3. -12. 6 2. 2. 0. 0. -4. 7 -6. -2. -2. -6. 8. 8 -6. -6. -2. -2. 12. 9 4. 4. 4. 4. -8. Col 6 7 8 9 Row 1 0. 0. 0. -0. 2 0. 0. 4. -0. 3 0. 0. 0. -0. 4 0. 0. -4. -0. 5 -4. -4. -12. 16. 6 0. 0. 0. -0. 7 4. 8. 12. -16. 8 8. 4. 8. -16. 9 -8. -8. -8. 16. MAP_TEST: interpolation matrix for element "Q12". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. 0. -0. 0. 0. 2 -5.50000 0. -0. 0. 9. 3 -5.50000 9. -4.50000 1.00000 0. 4 9. 0. -0. 0. -22.5000 5 10.0000 -9. 4.50000 -5.50000 -9.00000 6 9. -22.5000 18. -4.50000 0. 7 -4.50000 0. -0. 0. 13.5000 8 -9.00000 0. -0. 9.00000 22.5000 9 -9. 22.5000 -18. 4.50000 0. 10 -4.50000 13.5000 -13.5000 4.50000 0. 11 4.50000 0. -0. -4.50000 -13.5000 12 4.50000 -13.5000 13.5000 -4.50000 0. Col 6 7 8 9 10 Row 1 0. 0. 0. 0. 0. 2 0. -4.50000 0. 1.00000 0. 3 0. 0. 0. 0. 0. 4 0. 18. 0. -4.50000 0. 5 9.00000 4.50000 -4.50000 -5.50000 9. 6 -0. 0. 0. 0. 0. 7 0. -13.5000 0. 4.50000 0. 8 -22.5000 -18.0000 18.0000 4.50000 0. 9 0. 0. 0. 9. -22.5000 10 0. 0. 0. 0. 0. 11 13.5000 13.5000 -13.5000 -4.50000 0. 12 0. 0. 0. -4.50000 13.5000 Col 11 12 Row 1 0. 0. 2 0. 0. 3 0. 0. 4 0. 0. 5 -4.50000 1.00000 6 0. 0. 7 0. 0. 8 0. -4.50000 9 18. -4.50000 10 0. 0. 11 0. 4.50000 12 -13.5000 4.50000 MAP_TEST: interpolation matrix for element "Q16". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. 0. 0. 0. 0. 2 -5.50000 0. 0. 0. 9. 3 -5.50000 9.00000 -4.50000 1.00000 -0.419109E-14 4 9. 0. 0. 0. -22.5000 5 30.2500 -49.5000 24.7500 -5.50000 -49.5000 6 9.00000 -22.5000 18.0000 -4.50000 -0.718176E-14 7 -4.50000 0. 0. 0. 13.5000 8 -49.5000 81.0000 -40.5000 9.00000 123.750 9 -49.5000 123.750 -99.0000 24.7500 81.0000 10 -4.50000 13.5000 -13.5000 4.50000 0.224126E-13 11 24.7500 -40.5000 20.2500 -4.50000 -74.2500 12 81.0000 -202.500 162.000 -40.5000 -202.500 13 24.7500 -74.2500 74.2500 -24.7500 -40.5000 14 -40.5000 101.250 -81.0000 20.2500 121.500 15 -40.5000 121.500 -121.500 40.5000 101.250 16 20.2500 -60.7500 60.7500 -20.2500 -60.7500 Col 6 7 8 9 10 Row 1 0. 0. 0. 0. 0. 2 0. 0. 0. -4.50000 0. 3 0.177636E-13 -0.202338E-13 0.666134E-14 0.167921E-14 -0.101169E-13 4 0. 0. 0. 18. 0. 5 81.0000 -40.5000 9.00000 24.7500 -40.5000 6 0.355271E-14 0.151754E-13 -0.115463E-13 0.806993E-14 -0.151754E-13 7 0. 0. 0. -13.5000 0. 8 -202.500 101.250 -22.5000 -99.0000 162.000 9 -202.500 162.000 -40.5000 -40.5000 101.250 10 -0.515143E-13 0.370953E-13 -0.799361E-14 -0.219824E-13 0.539568E-13 11 121.500 -60.7500 13.5000 74.2500 -121.500 12 506.250 -405.000 101.250 162.000 -405.000 13 121.500 -121.500 40.5000 20.2500 -60.7500 14 -303.750 243.000 -60.7500 -121.500 303.750 15 -303.750 303.750 -101.250 -81.0000 243.000 16 182.250 -182.250 60.7500 60.7500 -182.250 Col 11 12 13 14 15 Row 1 0. 0. 0. 0. 0. 2 0. 0. 1.00000 0. 0. 3 0.124345E-13 -0.399680E-14 0.172701E-15 0.133227E-14 -0.224820E-14 4 0. 0. -4.50000 0. 0. 5 20.2500 -4.50000 -5.50000 9.00000 -4.50000 6 0.355271E-14 0.355271E-14 -0.174783E-14 0.532907E-14 -0.393435E-14 7 0. 0. 4.50000 0. 0. 8 -81.0000 18.0000 24.7500 -40.5000 20.2500 9 -81.0000 20.2500 9.00000 -22.5000 18.0000 10 -0.408562E-13 0.888178E-14 0.657961E-14 -0.177636E-13 0.146133E-13 11 60.7500 -13.5000 -24.7500 40.5000 -20.2500 12 324.000 -81.0000 -40.5000 101.250 -81.0000 13 60.7500 -20.2500 -4.50000 13.5000 -13.5000 14 -243.000 60.7500 40.5000 -101.250 81.0000 15 -243.000 81.0000 20.2500 -60.7500 60.7500 16 182.250 -60.7500 -20.2500 60.7500 -60.7500 Col 16 Row 1 -0. 2 0. 3 0.743233E-15 4 -0. 5 1.00000 6 0.353113E-15 7 0. 8 -4.50000 9 -4.50000 10 -0.342936E-14 11 4.50000 12 20.2500 13 4.50000 14 -20.2500 15 -20.2500 16 20.2500 MAP_TEST: interpolation matrix for element "QL". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. -0. 0. 0. 0. 2 -1. -0. 0. 1. 0. 3 -3. 4. -1. 0. 0. 4 3. -4. 1. -3. 4. 5 2. -4. 2. 0. 0. 6 -2. 4. -2. 2. -4. Col 6 Row 1 0. 2 0. 3 -0. 4 -1. 5 0. 6 2. MAP_TEST: interpolation matrix for element "T3". The interpolation matrix: Col 1 2 3 Row 1 1. -0. 0. 2 -1. -0. 1. 3 -1. 1. 0. MAP_TEST - Warning! Skipping test for element "T4". MAP_TEST: interpolation matrix for element "T6". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. -0. 0. 0. 0. 2 -3. -0. -1. 0. 0. 3 -3. -1. 0. 4. 0. 4 2. 0. 2. 0. 0. 5 4. 0. 0. -4. 4. 6 2. 2. 0. -4. 0. Col 6 Row 1 0. 2 4. 3 0. 4 -4. 5 -4. 6 0. MAP_TEST: interpolation matrix for element "T10". The interpolation matrix: Col 1 2 3 4 5 Row 1 1. -0. 0. 0. 0. 2 -5.50000 -0. 0. 0. 9. 3 -5.50000 9.00000 -4.50000 1.00000 0. 4 9. -0. 0. 0. -22.5000 5 18. -22.5000 4.50000 0. -22.5000 6 9.00000 -22.5000 18.0000 -4.50000 0. 7 -4.50000 -0. 0. 0. 13.5000 8 -13.5000 13.5000 0. 0. 27. 9 -13.5000 27. -13.5000 0. 13.5000 10 -4.50000 13.5000 -13.5000 4.50000 0. Col 6 7 8 9 10 Row 1 0. 0. 0. 0. 0. 2 0. 0. -4.50000 0. 1.00000 3 0. 0. 0. -0. 0. 4 0. 0. 18. 0. -4.50000 5 27. -4.50000 4.50000 -4.50000 0. 6 0. 0. 0. 0. 0. 7 0. 0. -13.5000 0. 4.50000 8 -27. 0. -13.5000 13.5000 0. 9 -27. 13.5000 0. 0. 0. 10 0. 0. 0. 0. 0. TEST135 MASS_MATRIX_T3 computes the mass matrix for a finite element system using T3 elements (linear triangles). The T3 mass matrix: Col 1 2 3 4 5 Row 1 0.208333E-01 0.104167E-01 0. 0.104167E-01 0. 2 0.104167E-01 0.625000E-01 0.104167E-01 0.208333E-01 0.208333E-01 3 0. 0.104167E-01 0.416667E-01 0. 0.208333E-01 4 0.104167E-01 0.208333E-01 0. 0.625000E-01 0.208333E-01 5 0. 0.208333E-01 0.208333E-01 0.208333E-01 0.125000 6 0. 0. 0.104167E-01 0. 0.208333E-01 7 0. 0. 0. 0.104167E-01 0.208333E-01 8 0. 0. 0. 0. 0.208333E-01 9 0. 0. 0. 0. 0. Col 6 7 8 9 Row 1 0. 0. 0. 0. 2 0. 0. 0. 0. 3 0.104167E-01 0. 0. 0. 4 0. 0.104167E-01 0. 0. 5 0.208333E-01 0.208333E-01 0.208333E-01 0. 6 0.625000E-01 0. 0.208333E-01 0.104167E-01 7 0. 0.416667E-01 0.104167E-01 0. 8 0.208333E-01 0.104167E-01 0.625000E-01 0.104167E-01 9 0.104167E-01 0. 0.104167E-01 0.208333E-01 TEST14 MASS_MATRIX_T6 computes the mass matrix for a finite element system using T6 elements (quadratic triangles). The T6 mass matrix: Col 1 2 3 4 5 Row 1 0.166667E-01 0.868446E-16 -0.277778E-02 0.884709E-16 -0.111111E-01 2 0.877120E-16 0.888889E-01 0.633174E-16 0.444444E-01 0.444444E-01 3 -0.277778E-02 0.628837E-16 0.333333E-01 -0.111111E-01 0.154824E-15 4 0.884709E-16 0.444444E-01 -0.111111E-01 0.888889E-01 0.444444E-01 5 -0.111111E-01 0.444444E-01 0.155691E-15 0.444444E-01 0.177778 6 0. 0. 0.659195E-16 0. 0.444444E-01 7 -0.277778E-02 -0.111111E-01 -0.555556E-02 0.654858E-16 0.153577E-15 8 0. 0. -0.111111E-01 0. 0.444444E-01 9 0. 0. -0.277778E-02 0. -0.111111E-01 Col 6 7 8 9 Row 1 0. -0.277778E-02 0. 0. 2 0. -0.111111E-01 0. 0. 3 0.654858E-16 -0.555556E-02 -0.111111E-01 -0.277778E-02 4 0. 0.659195E-16 0. 0. 5 0.444444E-01 0.155746E-15 0.444444E-01 -0.111111E-01 6 0.888889E-01 -0.111111E-01 0.444444E-01 0.884709E-16 7 -0.111111E-01 0.333333E-01 0.628837E-16 -0.277778E-02 8 0.444444E-01 0.633174E-16 0.888889E-01 0.877120E-16 9 0.884709E-16 -0.277778E-02 0.868446E-16 0.166667E-01 TEST15 For an order 3 triangle, PHYSICAL_TO_REFERENCE_T3 maps a physical point to a reference point. REFERENCE_TO_PHYSICAL_T3 maps a reference point to a physical point. ( XSI ETA ) ==> ( X Y ) ==> ( XSI2 ETA2 ) 0.0685 0.7701 1.9071 4.0803 0.0685 0.7701 0.3828 0.1850 1.9507 1.7401 0.3828 0.1850 0.8203 0.0413 2.6819 1.1653 0.8203 0.0413 0.6522 0.0629 2.3674 1.2518 0.6522 0.0629 0.2144 0.7400 2.1689 3.9600 0.2144 0.7400 0.3746 0.1866 1.9358 1.7464 0.3746 0.1866 0.3139 0.3553 1.9830 2.4212 0.3139 0.3553 0.0480 0.8766 1.9726 4.5064 0.0480 0.8766 0.1692 0.1652 1.5035 1.6606 0.1692 0.1652 0.3841 0.5100 2.2783 3.0400 0.3841 0.5100 TEST16 For an order 6 triangle, REFERENCE_TO_PHYSICAL_T6 maps a reference point to a physical point. XSI ETA ==> X Y 0.0000 0.0000 0.0000 0.0000 1.0000 0.0000 2.0000 0.0000 0.0000 1.0000 0.0000 4.0000 0.5000 0.0000 1.0000 0.0000 0.5000 0.5000 1.0000 1.0000 0.0000 0.5000 0.0000 2.0000 0.2500 0.7500 0.5000 2.2500 0.7500 0.2500 1.5000 0.2500 0.4000 0.1000 0.8000 0.2400 0.3000 0.2000 0.6000 0.5600 0.2000 0.3000 0.4000 0.9600 0.1000 0.4000 0.2000 1.4400 0.1000 0.1000 0.2000 0.3600 0.2000 0.2000 0.4000 0.6400 0.3000 0.3000 0.6000 0.8400 0.4000 0.4000 0.8000 0.9600 TEST17 S_L2NORM computes the L2 norm of a scalar function S(X) over a region (of any dimension), assuming: * that there is a set of finite element basis functions PSI; * that the region is decomposed into a number of elements whose areas are known; * that the integral is to be computed by a quadrature rule applied in the same way to each element; * that the value of the basis functions is given at every quadrature node in every element; Our example will have one spatial dimension. XMIN = 0.00000 XMAX = 1.00000 The number of intervals will be 40 The number of basis functions is 41 The number of quadrature points is 5 The computed L2 norm is 0.522156 The exact value is 0.522184 TEST18 SHAPE_TEST tests the shape routines. SHAPE_TEST for "Q4" shape functions. Element order = 4 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "Q8" shape functions. Element order = 8 Basis function values at basis nodes should form the identity matrix. 1.000 -0.000 -0.000 -0.000 0.000 0.000 0.000 0.000 0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 -0.000 -0.000 0.000 0.000 0.000 -0.000 1.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 -0.000 1.000 0.000 0.000 0.000 0.000 -0.000 0.000 0.000 -0.000 1.000 -0.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 -0.000 -0.000 0.000 0.000 0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "Q9" shape functions. Element order = 9 Basis function values at basis nodes should form the identity matrix. 1.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 0.000 1.000 -0.000 -0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 0.000 1.000 0.000 -0.000 -0.000 -0.000 -0.000 0.000 0.000 -0.000 -0.000 1.000 0.000 0.000 0.000 -0.000 -0.000 -0.000 0.000 -0.000 0.000 1.000 0.000 -0.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 0.000 1.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "Q12" shape functions. Element order = 12 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 0.000 0.000 0.000 0.000 -0.000 1.000 0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 1.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 1.000 0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 -0.000 1.000 0.000 -0.000 0.000 -0.000 -0.000 -0.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "Q16" shape functions. Element order = 16 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 -0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 -0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 -0.00000000 -0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 -0.00000000 -0.00000000 0.00000000 -0.00000000 0.00000000 -0.00000000 -0.00000000 -0.00000000 SHAPE_TEST for "QL" shape functions. Element order = 6 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 -0.000 0.000 0.000 -0.000 -0.000 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 1.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 1.000 0.000 -0.000 0.000 -0.000 -0.000 -0.000 1.000 0.000 -0.000 0.000 -0.000 0.000 -0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "T3" shape functions. Element order = 3 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "T4" shape functions. Element order = 4 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 1.000 0.000 0.000 -0.000 -0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "T6" shape functions. Element order = 6 Basis function values at basis nodes should form the identity matrix. 1.000 -0.000 -0.000 0.000 0.000 0.000 -0.000 1.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 1.000 0.000 0.000 0.000 0.000 0.000 -0.000 1.000 0.000 0.000 -0.000 0.000 0.000 0.000 1.000 0.000 0.000 -0.000 0.000 0.000 0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 SHAPE_TEST for "T10" shape functions. Element order = 10 Basis function values at basis nodes should form the identity matrix. 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 -0.000 0.000 0.000 1.000 -0.000 0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 1.000 -0.000 0.000 0.000 0.000 -0.000 -0.000 0.000 0.000 -0.000 0.000 1.000 -0.000 0.000 0.000 -0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 1.000 0.000 -0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 1.000 0.000 0.000 0.000 0.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 1.000 0.000 0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 0.000 -0.000 1.000 0.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 0.000 0.000 1.000 -0.000 0.000 -0.000 -0.000 0.000 -0.000 0.000 -0.000 0.000 0.000 1.000 The R and S derivatives should sum to 0. dTdR sum dTdS sum 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -0.00000000 TEST19 SPHERE_GRID_Q4_ELEMENT sets up a grid of Q4 quadrilaterals on a sphere. SPHERE_GRID_Q4_ELEMENT_NUM returns the number of elements in the grid SPHERE_GRID_Q4_NODE_NUM returns the number of nodes in the grid. SPHERE_GRID_Q4_NODE_XYZ returns the coordinates of nodes in the grid. Expected number of nodes = 58 Expected number of elements = 64 The elements and their nodes: 1 1 1 3 2 2 1 1 4 3 3 1 1 5 4 4 1 1 6 5 5 1 1 7 6 6 1 1 8 7 7 1 1 9 8 8 1 1 2 9 9 2 3 11 10 10 3 4 12 11 11 4 5 13 12 12 5 6 14 13 13 6 7 15 14 14 7 8 16 15 15 8 9 17 16 16 9 2 10 17 17 10 11 19 18 18 11 12 20 19 19 12 13 21 20 20 13 14 22 21 21 14 15 23 22 22 15 16 24 23 23 16 17 25 24 24 17 10 18 25 25 18 19 27 26 26 19 20 28 27 27 20 21 29 28 28 21 22 30 29 29 22 23 31 30 30 23 24 32 31 31 24 25 33 32 32 25 18 26 33 33 26 27 35 34 34 27 28 36 35 35 28 29 37 36 36 29 30 38 37 37 30 31 39 38 38 31 32 40 39 39 32 33 41 40 40 33 26 34 41 41 34 35 43 42 42 35 36 44 43 43 36 37 45 44 44 37 38 46 45 45 38 39 47 46 46 39 40 48 47 47 40 41 49 48 48 41 34 42 49 49 42 43 51 50 50 43 44 52 51 51 44 45 53 52 52 45 46 54 53 53 46 47 55 54 54 47 48 56 55 55 48 49 57 56 56 49 42 50 57 57 50 51 58 58 58 51 52 58 58 59 52 53 58 58 60 53 54 58 58 61 54 55 58 58 62 55 56 58 58 63 56 57 58 58 64 57 50 58 58 The node coordinates: 1 0.00000 0.00000 -1.00000 2 0.382683 0.00000 -0.923880 3 0.270598 0.270598 -0.923880 4 0.234326E-16 0.382683 -0.923880 5 -0.270598 0.270598 -0.923880 6 -0.382683 0.468652E-16 -0.923880 7 -0.270598 -0.270598 -0.923880 8 -0.702978E-16 -0.382683 -0.923880 9 0.270598 -0.270598 -0.923880 10 0.707107 0.00000 -0.707107 11 0.500000 0.500000 -0.707107 12 0.432978E-16 0.707107 -0.707107 13 -0.500000 0.500000 -0.707107 14 -0.707107 0.865956E-16 -0.707107 15 -0.500000 -0.500000 -0.707107 16 -0.129893E-15 -0.707107 -0.707107 17 0.500000 -0.500000 -0.707107 18 0.923880 0.00000 -0.382683 19 0.653281 0.653281 -0.382683 20 0.565713E-16 0.923880 -0.382683 21 -0.653281 0.653281 -0.382683 22 -0.923880 0.113143E-15 -0.382683 23 -0.653281 -0.653281 -0.382683 24 -0.169714E-15 -0.923880 -0.382683 25 0.653281 -0.653281 -0.382683 26 1.00000 0.00000 0.612323E-16 27 0.707107 0.707107 0.612323E-16 28 0.612323E-16 1.00000 0.612323E-16 29 -0.707107 0.707107 0.612323E-16 30 -1.00000 0.122465E-15 0.612323E-16 31 -0.707107 -0.707107 0.612323E-16 32 -0.183697E-15 -1.00000 0.612323E-16 33 0.707107 -0.707107 0.612323E-16 34 0.923880 0.00000 0.382683 35 0.653281 0.653281 0.382683 36 0.565713E-16 0.923880 0.382683 37 -0.653281 0.653281 0.382683 38 -0.923880 0.113143E-15 0.382683 39 -0.653281 -0.653281 0.382683 40 -0.169714E-15 -0.923880 0.382683 41 0.653281 -0.653281 0.382683 42 0.707107 0.00000 0.707107 43 0.500000 0.500000 0.707107 44 0.432978E-16 0.707107 0.707107 45 -0.500000 0.500000 0.707107 46 -0.707107 0.865956E-16 0.707107 47 -0.500000 -0.500000 0.707107 48 -0.129893E-15 -0.707107 0.707107 49 0.500000 -0.500000 0.707107 50 0.382683 0.00000 0.923880 51 0.270598 0.270598 0.923880 52 0.234326E-16 0.382683 0.923880 53 -0.270598 0.270598 0.923880 54 -0.382683 0.468652E-16 0.923880 55 -0.270598 -0.270598 0.923880 56 -0.702978E-16 -0.382683 0.923880 57 0.270598 -0.270598 0.923880 58 0.00000 0.00000 1.00000 TEST20 SPHERE_GRID_Q9_ELEMENT sets up a grid of Q9 quadrilaterals on a sphere. SPHERE_GRID_Q9_ELEMENT_NUM returns the number of elements in the grid SPHERE_GRID_Q9_NODE_NUM returns the number of nodes in the grid. SPHERE_GRID_Q9_NODE_XYZ returns the coordinates of nodes in the grid. Expected number of nodes = 44 Expected number of elements = 12 The elements and their nodes: 1 1 1 10 8 1 4 9 2 3 2 1 1 12 10 1 6 11 4 5 3 1 1 8 12 1 2 13 6 7 4 8 10 22 20 9 16 21 14 15 5 10 12 24 22 11 18 23 16 17 6 12 8 20 24 13 14 25 18 19 7 20 22 34 32 21 28 33 26 27 8 22 24 36 34 23 30 35 28 29 9 24 20 32 36 25 26 37 30 31 10 32 34 44 44 33 40 44 38 39 11 34 36 44 44 35 42 44 40 41 12 36 32 44 44 37 38 44 42 43 The node coordinates: 1 0.00000 0.00000 -1.00000 2 0.382683 0.00000 -0.923880 3 0.191342 0.331414 -0.923880 4 -0.191342 0.331414 -0.923880 5 -0.382683 0.468652E-16 -0.923880 6 -0.191342 -0.331414 -0.923880 7 0.191342 -0.331414 -0.923880 8 0.707107 0.00000 -0.707107 9 0.353553 0.612372 -0.707107 10 -0.353553 0.612372 -0.707107 11 -0.707107 0.865956E-16 -0.707107 12 -0.353553 -0.612372 -0.707107 13 0.353553 -0.612372 -0.707107 14 0.923880 0.00000 -0.382683 15 0.461940 0.800103 -0.382683 16 -0.461940 0.800103 -0.382683 17 -0.923880 0.113143E-15 -0.382683 18 -0.461940 -0.800103 -0.382683 19 0.461940 -0.800103 -0.382683 20 1.00000 0.00000 0.612323E-16 21 0.500000 0.866025 0.612323E-16 22 -0.500000 0.866025 0.612323E-16 23 -1.00000 0.122465E-15 0.612323E-16 24 -0.500000 -0.866025 0.612323E-16 25 0.500000 -0.866025 0.612323E-16 26 0.923880 0.00000 0.382683 27 0.461940 0.800103 0.382683 28 -0.461940 0.800103 0.382683 29 -0.923880 0.113143E-15 0.382683 30 -0.461940 -0.800103 0.382683 31 0.461940 -0.800103 0.382683 32 0.707107 0.00000 0.707107 33 0.353553 0.612372 0.707107 34 -0.353553 0.612372 0.707107 35 -0.707107 0.865956E-16 0.707107 36 -0.353553 -0.612372 0.707107 37 0.353553 -0.612372 0.707107 38 0.382683 0.00000 0.923880 39 0.191342 0.331414 0.923880 40 -0.191342 0.331414 0.923880 41 -0.382683 0.468652E-16 0.923880 42 -0.191342 -0.331414 0.923880 43 0.191342 -0.331414 0.923880 44 0.00000 0.00000 1.00000 TEST21 SPHERE_GRID_Q16_ELEMENT sets up a grid of Q16 quadrilaterals on a sphere. SPHERE_GRID_Q16_ELEMENT_NUM returns the number of elements in the grid SPHERE_GRID_Q16_NODE_NUM returns the number of nodes in the grid. SPHERE_GRID_Q16_NODE_XYZ returns the coordinates of nodes in the grid. Expected number of nodes = 32 Expected number of elements = 4 The elements and their nodes, listed in a way that suggests their geometry: 4 32 32 32 32 29 30 31 26 23 24 25 20 17 18 19 14 3 32 32 32 32 26 27 28 29 20 21 22 23 14 15 16 17 2 17 18 19 14 11 12 13 8 5 6 7 2 1 1 1 1 1 14 15 16 17 8 9 10 11 2 3 4 5 1 1 1 1 The node coordinates: 1 0.00000 0.00000 -1.00000 2 0.500000 0.00000 -0.866025 3 0.250000 0.433013 -0.866025 4 -0.250000 0.433013 -0.866025 5 -0.500000 0.612323E-16 -0.866025 6 -0.250000 -0.433013 -0.866025 7 0.250000 -0.433013 -0.866025 8 0.866025 0.00000 -0.500000 9 0.433013 0.750000 -0.500000 10 -0.433013 0.750000 -0.500000 11 -0.866025 0.106058E-15 -0.500000 12 -0.433013 -0.750000 -0.500000 13 0.433013 -0.750000 -0.500000 14 1.00000 0.00000 0.612323E-16 15 0.500000 0.866025 0.612323E-16 16 -0.500000 0.866025 0.612323E-16 17 -1.00000 0.122465E-15 0.612323E-16 18 -0.500000 -0.866025 0.612323E-16 19 0.500000 -0.866025 0.612323E-16 20 0.866025 0.00000 0.500000 21 0.433013 0.750000 0.500000 22 -0.433013 0.750000 0.500000 23 -0.866025 0.106058E-15 0.500000 24 -0.433013 -0.750000 0.500000 25 0.433013 -0.750000 0.500000 26 0.500000 0.00000 0.866025 27 0.250000 0.433013 0.866025 28 -0.250000 0.433013 0.866025 29 -0.500000 0.612323E-16 0.866025 30 -0.250000 -0.433013 0.866025 31 0.250000 -0.433013 0.866025 32 0.00000 0.00000 1.00000 TEST22 SPHERE_GRID_T3_ELEMENT sets up a grid of T3 triangles on a sphere. SPHERE_GRID_T3_ELEMENT_NUM returns the number of elements in the grid SPHERE_GRID_T3_NODE_NUM returns the number of nodes in the grid. SPHERE_GRID_T3_NODE_XYZ returns the coordinates of nodes in the grid. Expected number of nodes = 58 Expected number of elements = 112 The elements and their nodes: 1 3 2 1 2 4 3 1 3 5 4 1 4 6 5 1 5 7 6 1 6 8 7 1 7 9 8 1 8 2 9 1 9 2 3 10 10 11 10 3 11 3 4 11 12 12 11 4 13 4 5 12 14 13 12 5 15 5 6 13 16 14 13 6 17 6 7 14 18 15 14 7 19 7 8 15 20 16 15 8 21 8 9 16 22 17 16 9 23 9 2 17 24 10 17 2 25 10 11 18 26 19 18 11 27 11 12 19 28 20 19 12 29 12 13 20 30 21 20 13 31 13 14 21 32 22 21 14 33 14 15 22 34 23 22 15 35 15 16 23 36 24 23 16 37 16 17 24 38 25 24 17 39 17 10 25 40 18 25 10 41 18 19 26 42 27 26 19 43 19 20 27 44 28 27 20 45 20 21 28 46 29 28 21 47 21 22 29 48 30 29 22 49 22 23 30 50 31 30 23 51 23 24 31 52 32 31 24 53 24 25 32 54 33 32 25 55 25 18 33 56 26 33 18 57 26 27 34 58 35 34 27 59 27 28 35 60 36 35 28 61 28 29 36 62 37 36 29 63 29 30 37 64 38 37 30 65 30 31 38 66 39 38 31 67 31 32 39 68 40 39 32 69 32 33 40 70 41 40 33 71 33 26 41 72 34 41 26 73 34 35 42 74 43 42 35 75 35 36 43 76 44 43 36 77 36 37 44 78 45 44 37 79 37 38 45 80 46 45 38 81 38 39 46 82 47 46 39 83 39 40 47 84 48 47 40 85 40 41 48 86 49 48 41 87 41 34 49 88 42 49 34 89 42 43 50 90 51 50 43 91 43 44 51 92 52 51 44 93 44 45 52 94 53 52 45 95 45 46 53 96 54 53 46 97 46 47 54 98 55 54 47 99 47 48 55 100 56 55 48 101 48 49 56 102 57 56 49 103 49 42 57 104 50 57 42 105 50 51 58 106 51 52 58 107 52 53 58 108 53 54 58 109 54 55 58 110 55 56 58 111 56 57 58 112 57 50 58 The node coordinates: 1 0.00000 0.00000 -1.00000 2 0.382683 0.00000 -0.923880 3 0.270598 0.270598 -0.923880 4 0.234326E-16 0.382683 -0.923880 5 -0.270598 0.270598 -0.923880 6 -0.382683 0.468652E-16 -0.923880 7 -0.270598 -0.270598 -0.923880 8 -0.702978E-16 -0.382683 -0.923880 9 0.270598 -0.270598 -0.923880 10 0.707107 0.00000 -0.707107 11 0.500000 0.500000 -0.707107 12 0.432978E-16 0.707107 -0.707107 13 -0.500000 0.500000 -0.707107 14 -0.707107 0.865956E-16 -0.707107 15 -0.500000 -0.500000 -0.707107 16 -0.129893E-15 -0.707107 -0.707107 17 0.500000 -0.500000 -0.707107 18 0.923880 0.00000 -0.382683 19 0.653281 0.653281 -0.382683 20 0.565713E-16 0.923880 -0.382683 21 -0.653281 0.653281 -0.382683 22 -0.923880 0.113143E-15 -0.382683 23 -0.653281 -0.653281 -0.382683 24 -0.169714E-15 -0.923880 -0.382683 25 0.653281 -0.653281 -0.382683 26 1.00000 0.00000 0.612323E-16 27 0.707107 0.707107 0.612323E-16 28 0.612323E-16 1.00000 0.612323E-16 29 -0.707107 0.707107 0.612323E-16 30 -1.00000 0.122465E-15 0.612323E-16 31 -0.707107 -0.707107 0.612323E-16 32 -0.183697E-15 -1.00000 0.612323E-16 33 0.707107 -0.707107 0.612323E-16 34 0.923880 0.00000 0.382683 35 0.653281 0.653281 0.382683 36 0.565713E-16 0.923880 0.382683 37 -0.653281 0.653281 0.382683 38 -0.923880 0.113143E-15 0.382683 39 -0.653281 -0.653281 0.382683 40 -0.169714E-15 -0.923880 0.382683 41 0.653281 -0.653281 0.382683 42 0.707107 0.00000 0.707107 43 0.500000 0.500000 0.707107 44 0.432978E-16 0.707107 0.707107 45 -0.500000 0.500000 0.707107 46 -0.707107 0.865956E-16 0.707107 47 -0.500000 -0.500000 0.707107 48 -0.129893E-15 -0.707107 0.707107 49 0.500000 -0.500000 0.707107 50 0.382683 0.00000 0.923880 51 0.270598 0.270598 0.923880 52 0.234326E-16 0.382683 0.923880 53 -0.270598 0.270598 0.923880 54 -0.382683 0.468652E-16 0.923880 55 -0.270598 -0.270598 0.923880 56 -0.702978E-16 -0.382683 0.923880 57 0.270598 -0.270598 0.923880 58 0.00000 0.00000 1.00000 TEST23 SPHERE_GRID_T6_ELEMENT sets up a grid of T6 triangles on a sphere. SPHERE_GRID_T6_ELEMENT_NUM returns the number of elements in the grid SPHERE_GRID_T6_NODE_NUM returns the number of nodes in the grid. SPHERE_GRID_T6_NODE_XYZ returns the coordinates of nodes in the grid. Expected number of nodes = 44 Expected number of elements = 18 The elements and their nodes: 1 10 8 1 9 3 4 2 12 10 1 11 5 6 3 8 12 1 13 7 2 4 8 10 20 9 15 14 5 22 20 10 21 15 16 6 10 12 22 11 17 16 7 24 22 12 23 17 18 8 12 8 24 13 19 18 9 20 24 8 25 19 14 10 20 22 32 21 27 26 11 34 32 22 33 27 28 12 22 24 34 23 29 28 13 36 34 24 35 29 30 14 24 20 36 25 31 30 15 32 36 20 37 31 26 16 32 34 44 33 39 38 17 34 36 44 35 41 40 18 36 32 44 37 43 42 The node coordinates: 1 0.00000 0.00000 -1.00000 2 0.382683 0.00000 -0.923880 3 0.191342 0.331414 -0.923880 4 -0.191342 0.331414 -0.923880 5 -0.382683 0.468652E-16 -0.923880 6 -0.191342 -0.331414 -0.923880 7 0.191342 -0.331414 -0.923880 8 0.707107 0.00000 -0.707107 9 0.353553 0.612372 -0.707107 10 -0.353553 0.612372 -0.707107 11 -0.707107 0.865956E-16 -0.707107 12 -0.353553 -0.612372 -0.707107 13 0.353553 -0.612372 -0.707107 14 0.923880 0.00000 -0.382683 15 0.461940 0.800103 -0.382683 16 -0.461940 0.800103 -0.382683 17 -0.923880 0.113143E-15 -0.382683 18 -0.461940 -0.800103 -0.382683 19 0.461940 -0.800103 -0.382683 20 1.00000 0.00000 0.612323E-16 21 0.500000 0.866025 0.612323E-16 22 -0.500000 0.866025 0.612323E-16 23 -1.00000 0.122465E-15 0.612323E-16 24 -0.500000 -0.866025 0.612323E-16 25 0.500000 -0.866025 0.612323E-16 26 0.923880 0.00000 0.382683 27 0.461940 0.800103 0.382683 28 -0.461940 0.800103 0.382683 29 -0.923880 0.113143E-15 0.382683 30 -0.461940 -0.800103 0.382683 31 0.461940 -0.800103 0.382683 32 0.707107 0.00000 0.707107 33 0.353553 0.612372 0.707107 34 -0.353553 0.612372 0.707107 35 -0.707107 0.865956E-16 0.707107 36 -0.353553 -0.612372 0.707107 37 0.353553 -0.612372 0.707107 38 0.382683 0.00000 0.923880 39 0.191342 0.331414 0.923880 40 -0.191342 0.331414 0.923880 41 -0.382683 0.468652E-16 0.923880 42 -0.191342 -0.331414 0.923880 43 0.191342 -0.331414 0.923880 44 0.00000 0.00000 1.00000 TEST24 TRIANGLE_UNIT_SET sets up a quadrature in the unit triangle, A = 0 B = 0 Rule QUAD ERROR 1 1.00000 0.00000000 2 1.00000 0.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 1 Rule QUAD ERROR 1 1.00000 0.00000000 2 1.00000 0.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000003 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 2 Rule QUAD ERROR 1 0.666667 0.33333333 2 2.00000 1.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000002 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 3 Rule QUAD ERROR 1 0.370370 0.62962963 2 3.33333 2.33333333 3 1.01852 0.01851852 4 0.833333 0.16666667 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000001 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 4 Rule QUAD ERROR 1 0.185185 0.81481481 2 5.00000 4.00000000 3 0.995370 0.00462963 4 0.625000 0.37500000 5 0.933333 0.06666667 6 0.958333 0.04166667 7 0.958333 0.04166667 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.08333 0.08333333 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000001 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 5 Rule QUAD ERROR 1 0.864198E-01 0.91358025 2 7.00000 6.00000000 3 0.923611 0.07638889 4 0.437500 0.56250000 5 0.808889 0.19111111 6 0.875000 0.12500000 7 0.875000 0.12500000 8 1.00527 0.00527393 9 0.985185 0.01481481 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.26389 0.26388889 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 6 Rule QUAD ERROR 1 0.384088E-01 0.96159122 2 9.33333 8.33333333 3 0.819787 0.18021262 4 0.291667 0.70833333 5 0.660662 0.33933827 6 0.766111 0.23388889 7 0.766975 0.23302469 8 1.01295 0.01294949 9 0.948082 0.05191770 10 0.995414 0.00458554 11 0.995927 0.00407261 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.53395 0.53395062 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 7 Rule QUAD ERROR 1 0.164609E-01 0.98353909 2 12.0000 11.00000000 3 0.702418 0.29758230 4 0.187500 0.81250000 5 0.516101 0.48389926 6 0.648333 0.35166667 7 0.650926 0.34907407 8 1.01690 0.01690162 9 0.889877 0.11012346 10 0.981708 0.01829176 11 0.983203 0.01679708 12 1.00020 0.00019804 13 1.00000 0.00000000 14 1.88241 0.88240741 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 8 Rule QUAD ERROR 1 0.685871E-02 0.99314129 2 15.0000 14.00000000 3 0.585294 0.41470550 4 0.117188 0.88281250 5 0.389922 0.61007802 6 0.533854 0.46614583 7 0.538484 0.46151620 8 1.01216 0.01216139 9 0.816165 0.18383539 10 0.956602 0.04339756 11 0.959183 0.04081739 12 1.00044 0.00043938 13 0.999572 0.00042796 14 2.29996 1.29996142 15 0.999733 0.00026706 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 9 Rule QUAD ERROR 1 0.279429E-02 0.99720571 2 18.3333 17.33333333 3 0.476896 0.52310429 4 0.716146E-01 0.92838542 5 0.287142 0.71285845 6 0.429942 0.57005787 7 0.436368 0.56363240 8 0.996255 0.00374460 9 0.733569 0.26643061 10 0.920084 0.07991597 11 0.923540 0.07645961 12 1.00009 0.00008582 13 0.997886 0.00211358 14 2.77990 1.77990326 15 0.998637 0.00136299 16 1.00000 0.00000000 17 1.00009 0.00009149 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 0 B = 10 Rule QUAD ERROR 1 0.111772E-02 0.99888228 2 22.0000 21.00000000 3 0.381514 0.61848561 4 0.429688E-01 0.95703125 5 0.207231 0.79276920 6 0.339994 0.66000579 7 0.347660 0.65234018 8 0.968918 0.03108196 9 0.647992 0.35200829 10 0.873671 0.12632881 11 0.877655 0.12234509 12 0.998219 0.00178063 13 0.993975 0.00602508 14 3.31769 2.31769047 15 0.995992 0.00400760 16 1.00000 0.00000000 17 1.00049 0.00048861 18 0.999970 0.00003026 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 0 Rule QUAD ERROR 1 1.00000 0.00000000 2 1.00000 0.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000003 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 1 Rule QUAD ERROR 1 1.33333 0.33333333 2 0.00000 1.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000008 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 2 Rule QUAD ERROR 1 1.11111 0.11111111 2 0.00000 1.00000000 3 0.972222 0.02777778 4 1.25000 0.25000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000012 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 3 Rule QUAD ERROR 1 0.740741 0.25925926 2 0.00000 1.00000000 3 1.06481 0.06481481 4 1.25000 0.25000000 5 1.13333 0.13333333 6 1.08333 0.08333333 7 1.08333 0.08333333 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.833333 0.16666667 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000014 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 4 Rule QUAD ERROR 1 0.432099 0.56790123 2 0.00000 1.00000000 3 1.17477 0.17476852 4 1.09375 0.09375000 5 1.24444 0.24444444 6 1.16667 0.16666667 7 1.16667 0.16666667 8 0.986815 0.01318484 9 1.03704 0.03703704 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.631944 0.36805556 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000015 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 5 Rule QUAD ERROR 1 0.230453 0.76954733 2 0.00000 1.00000000 3 1.23508 0.23508230 4 0.875000 0.12500000 5 1.25357 0.25357037 6 1.20167 0.20166667 7 1.19907 0.19907407 8 0.982247 0.01775274 9 1.09649 0.09649383 10 1.01376 0.01375661 11 1.01222 0.01221783 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.453704 0.54629630 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000017 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 6 Rule QUAD ERROR 1 0.115226 0.88477366 2 0.00000 1.00000000 3 1.23058 0.23058128 4 0.656250 0.34375000 5 1.16663 0.16662519 6 1.17833 0.17833333 7 1.17315 0.17314815 8 0.999117 0.00088296 9 1.15180 0.15180247 10 1.04339 0.04338624 11 1.04046 0.04046303 12 0.999307 0.00069314 13 1.00000 0.00000000 14 0.314352 0.68564815 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000018 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 7 Rule QUAD ERROR 1 0.548697E-01 0.94513032 2 0.00000 1.00000000 3 1.17091 0.17091049 4 0.468750 0.53125000 5 1.02082 0.02081580 6 1.10625 0.10625000 7 1.10069 0.10069444 8 1.03586 0.03586257 9 1.18472 0.18472428 10 1.08213 0.08213142 11 1.07928 0.07928415 12 0.999233 0.00076731 13 1.00171 0.00171183 14 0.212191 0.78780864 15 1.00057 0.00056689 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000019 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 8 Rule QUAD ERROR 1 0.251486E-01 0.97485139 2 0.00000 1.00000000 3 1.07309 0.07308903 4 0.322266 0.67773438 5 0.852434 0.14756609 6 1.00146 0.00145833 7 0.998007 0.00199331 8 1.08374 0.08373832 9 1.18784 0.18784307 10 1.12094 0.12093530 11 1.11957 0.11957262 12 1.00203 0.00203040 13 1.00716 0.00715736 14 0.140223 0.85977688 15 1.00253 0.00253185 16 1.00000 0.00000000 17 0.999588 0.00041169 18 1.00000 0.00000020 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 1 B = 9 Rule QUAD ERROR 1 0.111772E-01 0.98882284 2 0.00000 1.00000000 3 0.953802 0.04619766 4 0.214844 0.78515625 5 0.686695 0.31330475 6 0.879682 0.12031829 7 0.879906 0.12009352 8 1.13294 0.13294222 9 1.16146 0.16145783 10 1.15215 0.15214823 11 1.15297 0.15296778 12 1.00942 0.00941807 13 1.01744 0.01744391 14 0.909672E-01 0.90903278 15 1.00658 0.00658406 16 1.00000 0.00000000 17 0.998106 0.00189411 18 1.00015 0.00015113 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 0 Rule QUAD ERROR 1 0.666667 0.33333333 2 2.00000 1.00000000 3 1.00000 0.00000000 4 1.00000 0.00000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000002 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 1 Rule QUAD ERROR 1 1.11111 0.11111111 2 0.00000 1.00000000 3 0.972222 0.02777778 4 1.25000 0.25000000 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000012 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 2 Rule QUAD ERROR 1 1.11111 0.11111111 2 0.00000 1.00000000 3 0.763889 0.23611111 4 1.87500 0.87500000 5 0.800000 0.20000000 6 0.875000 0.12500000 7 0.875000 0.12500000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.25000 0.25000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000019 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 3 Rule QUAD ERROR 1 0.864198 0.13580247 2 0.00000 1.00000000 3 0.729167 0.27083333 4 2.18750 1.18750000 5 0.808889 0.19111111 6 0.875000 0.12500000 7 0.875000 0.12500000 8 1.00527 0.00527393 9 0.985185 0.01481481 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.26389 0.26388889 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000024 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 4 Rule QUAD ERROR 1 0.576132 0.42386831 2 0.00000 1.00000000 3 0.819187 0.18081276 4 2.18750 1.18750000 5 0.949926 0.05007407 6 0.962500 0.03750000 7 0.956019 0.04398148 8 0.958434 0.04156566 9 1.03012 0.03012346 10 0.962963 0.03703704 11 0.983741 0.01625887 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.13426 0.13425926 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000029 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 5 Rule QUAD ERROR 1 0.345679 0.65432099 2 0.00000 1.00000000 3 0.937114 0.06288580 4 1.96875 0.96875000 5 1.08068 0.08067556 6 1.06750 0.06750000 7 1.04028 0.04027778 8 0.881502 0.11849802 9 1.14074 0.14074074 10 0.909751 0.09024943 11 0.967270 0.03272971 12 1.00089 0.00089118 13 1.00000 0.00000000 14 0.943056 0.05694444 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000035 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 6 Rule QUAD ERROR 1 0.192044 0.80795610 2 0.00000 1.00000000 3 1.02849 0.02848508 4 1.64062 0.64062500 5 1.13350 0.13349531 6 1.14479 0.14479167 7 1.08970 0.08969907 8 0.811392 0.18860789 9 1.28639 0.28638683 10 0.866501 0.13349890 11 0.970273 0.02972680 12 0.996224 0.00377556 13 0.994117 0.00588301 14 0.742670 0.25733025 15 0.997732 0.00226757 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000041 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 7 Rule QUAD ERROR 1 0.100594 0.89940558 2 0.00000 1.00000000 3 1.07412 0.07412051 4 1.28906 0.28906250 5 1.10343 0.10343164 6 1.17562 0.17562500 7 1.09561 0.09561471 8 0.769683 0.23031716 9 1.43345 0.43344636 10 0.846090 0.15390976 11 1.00117 0.00116637 12 0.981678 0.01832186 13 0.979223 0.02077746 14 0.560892 0.43910751 15 0.990804 0.00919627 16 1.00000 0.00000000 17 1.00073 0.00072909 18 1.00000 0.00000047 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 2 B = 8 Rule QUAD ERROR 1 0.502972E-01 0.94970279 2 0.00000 1.00000000 3 1.07329 0.07328550 4 0.966797 0.03320312 5 1.01255 0.01255422 6 1.15872 0.15872396 7 1.06264 0.06263664 8 0.761318 0.23868198 9 1.55761 0.55761207 10 0.849523 0.15047725 11 1.05700 0.05700238 12 0.957945 0.04205474 13 0.956754 0.04324599 14 0.409352 0.59064751 15 0.978158 0.02184193 16 1.00000 0.00000000 17 1.00232 0.00232291 18 0.999302 0.00069784 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 0 Rule QUAD ERROR 1 0.370370 0.62962963 2 3.33333 2.33333333 3 1.01852 0.01851852 4 0.833333 0.16666667 5 1.00000 0.00000000 6 1.00000 0.00000000 7 1.00000 0.00000000 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.00000 0.00000000 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000001 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 1 Rule QUAD ERROR 1 0.740741 0.25925926 2 0.00000 1.00000000 3 1.06481 0.06481481 4 1.25000 0.25000000 5 1.13333 0.13333333 6 1.08333 0.08333333 7 1.08333 0.08333333 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.833333 0.16666667 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000014 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 2 Rule QUAD ERROR 1 0.864198 0.13580247 2 0.00000 1.00000000 3 0.729167 0.27083333 4 2.18750 1.18750000 5 0.808889 0.19111111 6 0.875000 0.12500000 7 0.875000 0.12500000 8 1.00527 0.00527393 9 0.985185 0.01481481 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.26389 0.26388889 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000024 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 3 Rule QUAD ERROR 1 0.768176 0.23182442 2 0.00000 1.00000000 3 0.516118 0.48388203 4 2.91667 1.91666667 5 0.594568 0.40543210 6 0.738889 0.26111111 7 0.756173 0.24382716 8 1.06350 0.06349583 9 0.917202 0.08279835 10 1.05115 0.05114638 11 1.01215 0.01215469 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.51235 0.51234568 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000029 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 4 Rule QUAD ERROR 1 0.576132 0.42386831 2 0.00000 1.00000000 3 0.481610 0.51838992 4 3.28125 2.28125000 5 0.591526 0.40847407 6 0.729167 0.27083333 7 0.761574 0.23842593 8 1.05737 0.05737044 9 0.905679 0.09432099 10 1.05367 0.05366591 11 0.999136 0.00086444 12 0.999505 0.00049510 13 1.00000 0.00000000 14 1.57176 0.57175926 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000034 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 5 Rule QUAD ERROR 1 0.384088 0.61591221 2 0.00000 1.00000000 3 0.544624 0.45537551 4 3.28125 2.28125000 5 0.694511 0.30548938 6 0.802083 0.19791667 7 0.818287 0.18171296 8 0.972131 0.02786944 9 0.992329 0.00767078 10 0.992477 0.00752259 11 0.961034 0.03896621 12 1.01154 0.01153677 13 1.01166 0.01165761 14 1.48534 0.48533951 15 1.00529 0.00529101 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000041 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 6 Rule QUAD ERROR 1 0.234720 0.76527968 2 0.00000 1.00000000 3 0.635854 0.36414633 4 3.00781 2.00781250 5 0.800594 0.19940618 6 0.903681 0.09631944 7 0.873050 0.12695045 8 0.846318 0.15368207 9 1.16057 0.16056991 10 0.896388 0.10361195 11 0.920984 0.07901635 12 1.03039 0.03039232 13 1.02893 0.02893207 14 1.30875 0.30874914 15 1.01621 0.01620895 16 1.00000 0.00000000 17 0.999369 0.00063062 18 0.999999 0.00000052 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 3 B = 7 Rule QUAD ERROR 1 0.134126 0.86587410 2 0.00000 1.00000000 3 0.718176 0.28182394 4 2.57812 1.57812500 5 0.860170 0.13982982 6 0.995347 0.00465278 7 0.904171 0.09582905 8 0.720497 0.27950348 9 1.37501 0.37500503 10 0.797080 0.20291962 11 0.902218 0.09778175 12 1.04271 0.04270623 13 1.03934 0.03934337 14 1.09161 0.09160665 15 1.02814 0.02814171 16 1.00000 0.00000000 17 0.999861 0.00013938 18 1.00188 0.00188073 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 0 Rule QUAD ERROR 1 0.185185 0.81481481 2 5.00000 4.00000000 3 0.995370 0.00462963 4 0.625000 0.37500000 5 0.933333 0.06666667 6 0.958333 0.04166667 7 0.958333 0.04166667 8 1.00000 0.00000000 9 1.00000 0.00000000 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.08333 0.08333333 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000001 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 1 Rule QUAD ERROR 1 0.432099 0.56790123 2 0.00000 1.00000000 3 1.17477 0.17476852 4 1.09375 0.09375000 5 1.24444 0.24444444 6 1.16667 0.16666667 7 1.16667 0.16666667 8 0.986815 0.01318484 9 1.03704 0.03703704 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.631944 0.36805556 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000015 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 2 Rule QUAD ERROR 1 0.576132 0.42386831 2 0.00000 1.00000000 3 0.819187 0.18081276 4 2.18750 1.18750000 5 0.949926 0.05007407 6 0.962500 0.03750000 7 0.956019 0.04398148 8 0.958434 0.04156566 9 1.03012 0.03012346 10 0.962963 0.03703704 11 0.983741 0.01625887 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.13426 0.13425926 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000029 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 3 Rule QUAD ERROR 1 0.576132 0.42386831 2 0.00000 1.00000000 3 0.481610 0.51838992 4 3.28125 2.28125000 5 0.591526 0.40847407 6 0.729167 0.27083333 7 0.761574 0.23842593 8 1.05737 0.05737044 9 0.905679 0.09432099 10 1.05367 0.05366591 11 0.999136 0.00086444 12 0.999505 0.00049510 13 1.00000 0.00000000 14 1.57176 0.57175926 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000034 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 4 Rule QUAD ERROR 1 0.480110 0.51989026 2 0.00000 1.00000000 3 0.320698 0.67930170 4 4.10156 3.10156250 5 0.414538 0.58546173 6 0.601563 0.39843750 7 0.698785 0.30121528 8 1.12991 0.12990697 9 0.799671 0.20032922 10 1.13775 0.13774610 11 1.00434 0.00433838 12 0.983592 0.01640758 13 0.985455 0.01454491 14 1.85667 0.85667438 15 0.992063 0.00793651 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000036 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 5 Rule QUAD ERROR 1 0.352080 0.64791952 2 0.00000 1.00000000 3 0.293630 0.70637038 4 4.51172 3.51171875 5 0.402555 0.59744527 6 0.585521 0.41447917 7 0.715439 0.28456147 8 1.10610 0.10610483 9 0.796322 0.20367846 10 1.14249 0.14249035 11 0.974400 0.02559962 12 0.982741 0.01725909 13 0.985505 0.01449536 14 1.96312 0.96312371 15 0.986185 0.01381540 16 1.00000 0.00000000 17 1.00018 0.00017599 18 1.00000 0.00000040 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 4 B = 6 Rule QUAD ERROR 1 0.234720 0.76527968 2 0.00000 1.00000000 3 0.332597 0.66740314 4 4.51172 3.51171875 5 0.467461 0.53253898 6 0.643003 0.35699653 7 0.750509 0.24949096 8 0.998828 0.00117160 9 0.905044 0.09495601 10 1.06917 0.06917320 11 0.916307 0.08369330 12 1.00786 0.00785815 13 1.01024 0.01024312 14 1.91031 0.91031164 15 0.992343 0.00765656 16 1.00000 0.00000000 17 0.997408 0.00259195 18 0.996691 0.00330926 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 0 Rule QUAD ERROR 1 0.864198E-01 0.91358025 2 7.00000 6.00000000 3 0.923611 0.07638889 4 0.437500 0.56250000 5 0.808889 0.19111111 6 0.875000 0.12500000 7 0.875000 0.12500000 8 1.00527 0.00527393 9 0.985185 0.01481481 10 1.00000 0.00000000 11 1.00000 0.00000000 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.26389 0.26388889 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 1 Rule QUAD ERROR 1 0.230453 0.76954733 2 0.00000 1.00000000 3 1.23508 0.23508230 4 0.875000 0.12500000 5 1.25357 0.25357037 6 1.20167 0.20166667 7 1.19907 0.19907407 8 0.982247 0.01775274 9 1.09649 0.09649383 10 1.01376 0.01375661 11 1.01222 0.01221783 12 1.00000 0.00000000 13 1.00000 0.00000000 14 0.453704 0.54629630 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000017 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 2 Rule QUAD ERROR 1 0.345679 0.65432099 2 0.00000 1.00000000 3 0.937114 0.06288580 4 1.96875 0.96875000 5 1.08068 0.08067556 6 1.06750 0.06750000 7 1.04028 0.04027778 8 0.881502 0.11849802 9 1.14074 0.14074074 10 0.909751 0.09024943 11 0.967270 0.03272971 12 1.00089 0.00089118 13 1.00000 0.00000000 14 0.943056 0.05694444 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000035 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 3 Rule QUAD ERROR 1 0.384088 0.61591221 2 0.00000 1.00000000 3 0.544624 0.45537551 4 3.28125 2.28125000 5 0.694511 0.30548938 6 0.802083 0.19791667 7 0.818287 0.18171296 8 0.972131 0.02786944 9 0.992329 0.00767078 10 0.992477 0.00752259 11 0.961034 0.03896621 12 1.01154 0.01153677 13 1.01166 0.01165761 14 1.48534 0.48533951 15 1.00794 0.00793651 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000041 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 4 Rule QUAD ERROR 1 0.352080 0.64791952 2 0.00000 1.00000000 3 0.293630 0.70637038 4 4.51172 3.51171875 5 0.402555 0.59744527 6 0.585521 0.41447917 7 0.715439 0.28456147 8 1.10610 0.10610483 9 0.796322 0.20367846 10 1.14249 0.14249035 11 0.974400 0.02559962 12 0.982741 0.01725909 13 0.985505 0.01449536 14 1.96312 0.96312371 15 0.999118 0.00088183 16 1.00000 0.00000000 17 1.00018 0.00017599 18 1.00000 0.00000040 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 5 B = 5 Rule QUAD ERROR 1 0.281664 0.71833562 2 0.00000 1.00000000 3 0.187868 0.81213206 4 5.41406 4.41406250 5 0.273552 0.72644773 6 0.473229 0.52677083 7 0.710487 0.28951260 8 1.16618 0.16618451 9 0.679036 0.32096351 10 1.23958 0.23957884 11 0.968337 0.03166255 12 0.950326 0.04967432 13 0.955574 0.04442596 14 2.29237 1.29237397 15 0.977562 0.02243778 16 1.00000 0.00000000 17 1.00302 0.00301864 18 1.00398 0.00397668 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 6 B = 0 Rule QUAD ERROR 1 0.384088E-01 0.96159122 2 9.33333 8.33333333 3 0.819787 0.18021262 4 0.291667 0.70833333 5 0.660662 0.33933827 6 0.766111 0.23388889 7 0.766975 0.23302469 8 1.01295 0.01294949 9 0.948082 0.05191770 10 0.995414 0.00458554 11 0.995927 0.00407261 12 1.00000 0.00000000 13 1.00000 0.00000000 14 1.53395 0.53395062 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 6 B = 1 Rule QUAD ERROR 1 0.115226 0.88477366 2 0.00000 1.00000000 3 1.23058 0.23058128 4 0.656250 0.34375000 5 1.16663 0.16662519 6 1.17833 0.17833333 7 1.17315 0.17314815 8 0.999117 0.00088296 9 1.15180 0.15180247 10 1.04339 0.04338624 11 1.04046 0.04046303 12 0.999307 0.00069314 13 1.00000 0.00000000 14 0.314352 0.68564815 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000018 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 6 B = 2 Rule QUAD ERROR 1 0.192044 0.80795610 2 0.00000 1.00000000 3 1.02849 0.02848508 4 1.64062 0.64062500 5 1.13350 0.13349531 6 1.14479 0.14479167 7 1.08970 0.08969907 8 0.811392 0.18860789 9 1.28639 0.28638683 10 0.866501 0.13349890 11 0.970273 0.02972680 12 0.996224 0.00377556 13 0.994117 0.00588301 14 0.742670 0.25733025 15 0.994709 0.00529101 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000041 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 6 B = 3 Rule QUAD ERROR 1 0.234720 0.76527968 2 0.00000 1.00000000 3 0.635854 0.36414633 4 3.00781 2.00781250 5 0.800594 0.19940618 6 0.903681 0.09631944 7 0.873050 0.12695045 8 0.846318 0.15368207 9 1.16057 0.16056991 10 0.896388 0.10361195 11 0.920984 0.07901635 12 1.03039 0.03039232 13 1.02893 0.02893207 14 1.30875 0.30874914 15 1.01529 0.01528513 16 1.00000 0.00000000 17 0.999369 0.00063062 18 0.999999 0.00000052 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 6 B = 4 Rule QUAD ERROR 1 0.234720 0.76527968 2 0.00000 1.00000000 3 0.332597 0.66740314 4 4.51172 3.51171875 5 0.467461 0.53253898 6 0.643003 0.35699653 7 0.750509 0.24949096 8 0.998828 0.00117160 9 0.905044 0.09495601 10 1.06917 0.06917320 11 0.916307 0.08369330 12 1.00786 0.00785815 13 1.01024 0.01024312 14 1.91031 0.91031164 15 1.02067 0.02067411 16 1.00000 0.00000000 17 0.997408 0.00259195 18 0.996691 0.00330926 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 7 B = 0 Rule QUAD ERROR 1 0.164609E-01 0.98353909 2 12.0000 11.00000000 3 0.702418 0.29758230 4 0.187500 0.81250000 5 0.516101 0.48389926 6 0.648333 0.35166667 7 0.650926 0.34907407 8 1.01690 0.01690162 9 0.889877 0.11012346 10 0.981708 0.01829176 11 0.983203 0.01679708 12 1.00020 0.00019804 13 1.00000 0.00000000 14 1.88241 0.88240741 15 1.00000 0.00000000 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 7 B = 1 Rule QUAD ERROR 1 0.548697E-01 0.94513032 2 0.00000 1.00000000 3 1.17091 0.17091049 4 0.468750 0.53125000 5 1.02082 0.02081580 6 1.10625 0.10625000 7 1.10069 0.10069444 8 1.03586 0.03586257 9 1.18472 0.18472428 10 1.08213 0.08213142 11 1.07928 0.07928415 12 0.999233 0.00076731 13 1.00171 0.00171183 14 0.212191 0.78780864 15 1.00227 0.00226757 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000019 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 7 B = 2 Rule QUAD ERROR 1 0.100594 0.89940558 2 0.00000 1.00000000 3 1.07412 0.07412051 4 1.28906 0.28906250 5 1.10343 0.10343164 6 1.17562 0.17562500 7 1.09561 0.09561471 8 0.769683 0.23031716 9 1.43345 0.43344636 10 0.846090 0.15390976 11 1.00117 0.00116637 12 0.981678 0.01832186 13 0.979223 0.02077746 14 0.560892 0.43910751 15 0.982951 0.01704880 16 1.00000 0.00000000 17 1.00073 0.00072909 18 1.00000 0.00000047 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 7 B = 3 Rule QUAD ERROR 1 0.134126 0.86587410 2 0.00000 1.00000000 3 0.718176 0.28182394 4 2.57812 1.57812500 5 0.860170 0.13982982 6 0.995347 0.00465278 7 0.904171 0.09582905 8 0.720497 0.27950348 9 1.37501 0.37500503 10 0.797080 0.20291962 11 0.902218 0.09778175 12 1.04271 0.04270623 13 1.03934 0.03934337 14 1.09161 0.09160665 15 1.01144 0.01143585 16 1.00000 0.00000000 17 0.999861 0.00013938 18 1.00188 0.00188073 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 8 B = 0 Rule QUAD ERROR 1 0.685871E-02 0.99314129 2 15.0000 14.00000000 3 0.585294 0.41470550 4 0.117188 0.88281250 5 0.389922 0.61007802 6 0.533854 0.46614583 7 0.538484 0.46151620 8 1.01216 0.01216139 9 0.816165 0.18383539 10 0.956602 0.04339756 11 0.959183 0.04081739 12 1.00044 0.00043938 13 0.999572 0.00042796 14 2.29996 1.29996142 15 0.999433 0.00056689 16 1.00000 0.00000000 17 1.00000 0.00000000 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 8 B = 1 Rule QUAD ERROR 1 0.251486E-01 0.97485139 2 0.00000 1.00000000 3 1.07309 0.07308903 4 0.322266 0.67773438 5 0.852434 0.14756609 6 1.00146 0.00145833 7 0.998007 0.00199331 8 1.08374 0.08373832 9 1.18784 0.18784307 10 1.12094 0.12093530 11 1.11957 0.11957262 12 1.00203 0.00203040 13 1.00716 0.00715736 14 0.140223 0.85977688 15 1.00951 0.00951121 16 1.00000 0.00000000 17 0.999588 0.00041169 18 1.00000 0.00000020 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 8 B = 2 Rule QUAD ERROR 1 0.502972E-01 0.94970279 2 0.00000 1.00000000 3 1.07329 0.07328550 4 0.966797 0.03320312 5 1.01255 0.01255422 6 1.15872 0.15872396 7 1.06264 0.06263664 8 0.761318 0.23868198 9 1.55761 0.55761207 10 0.849523 0.15047725 11 1.05700 0.05700238 12 0.957945 0.04205474 13 0.956754 0.04324599 14 0.409352 0.59064751 15 0.968709 0.03129112 16 1.00000 0.00000000 17 1.00232 0.00232291 18 0.999302 0.00069784 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 9 B = 0 Rule QUAD ERROR 1 0.279429E-02 0.99720571 2 18.3333 17.33333333 3 0.476896 0.52310429 4 0.716146E-01 0.92838542 5 0.287142 0.71285845 6 0.429942 0.57005787 7 0.436368 0.56363240 8 0.996255 0.00374460 9 0.733569 0.26643061 10 0.920084 0.07991597 11 0.923540 0.07645961 12 1.00009 0.00008582 13 0.997886 0.00211358 14 2.77990 1.77990326 15 0.997194 0.00280647 16 1.00000 0.00000000 17 1.00009 0.00009149 18 1.00000 0.00000000 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 9 B = 1 Rule QUAD ERROR 1 0.111772E-01 0.98882284 2 0.00000 1.00000000 3 0.953802 0.04619766 4 0.214844 0.78515625 5 0.686695 0.31330475 6 0.879682 0.12031829 7 0.879906 0.12009352 8 1.13294 0.13294222 9 1.16146 0.16145783 10 1.15215 0.15214823 11 1.15297 0.15296778 12 1.00942 0.00941807 13 1.01744 0.01744391 14 0.909672E-01 0.90903278 15 1.02311 0.02311199 16 1.00000 0.00000000 17 0.998106 0.00189411 18 1.00015 0.00015113 19 1.00000 0.00000000 20 1.00000 0.00000000 A = 10 B = 0 Rule QUAD ERROR 1 0.111772E-02 0.99888228 2 22.0000 21.00000000 3 0.381514 0.61848561 4 0.429688E-01 0.95703125 5 0.207231 0.79276920 6 0.339994 0.66000579 7 0.347660 0.65234018 8 0.968918 0.03108196 9 0.647992 0.35200829 10 0.873671 0.12632881 11 0.877655 0.12234509 12 0.998219 0.00178063 13 0.993975 0.00602508 14 3.31769 2.31769047 15 0.992010 0.00799017 16 1.00000 0.00000000 17 1.00049 0.00048861 18 0.999970 0.00003026 19 1.00000 0.00000000 20 1.00000 0.00000000 FEM2D_PACK_TEST Normal end of execution. 17 September 2021 9:31:14.884 AM