03-Jul-2023 19:17:34 vandermonde_interp_2d_test(): MATLAB/Octave version 5.2.0. Test vandermonde_interp_2d(). This test also needs test_interp_2d(). vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #1. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.470618 0.132159 0.559412 2: 0.864673 0.980478 0.0582767 3: 0.930626 0.317822 0.394829 L2 data interpolation error = 1.9762e-17 Graphics saved as "p01_data.png". Graphics saved as "p01_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #1. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.698999 0.504218 0.391285 2: 0.029367 0.019514 0.799086 3: 0.770213 0.204917 0.515621 4: 0.669113 0.897228 0.110213 5: 0.27832 0.428664 0.658633 6: 0.272266 0.901811 0.231243 L2 data interpolation error = 8.43202e-17 Graphics saved as "p01_data.png". Graphics saved as "p01_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #1. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.0188836 0.270038 0.827532 2: 0.746846 0.349912 0.636426 3: 0.969727 0.20879 0.254738 4: 0.687348 0.162333 0.447495 5: 0.268435 0.337676 0.945621 6: 0.770824 0.110239 0.353512 7: 0.275486 0.599754 0.347667 8: 0.976679 0.789779 0.0504469 9: 0.2146 0.171977 1.20007 10: 0.692849 0.0321456 0.299381 L2 data interpolation error = 1.30977e-15 Graphics saved as "p01_data.png". Graphics saved as "p01_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #1. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.102378 0.352176 0.856779 2: 0.529267 0.921055 0.129353 3: 0.00941841 0.448559 0.548701 4: 0.36001 0.0634572 0.753934 5: 0.192557 0.606627 0.374499 6: 0.0951641 0.605458 0.394445 7: 0.673451 0.939104 0.105248 8: 0.737685 0.166406 0.456093 9: 0.025621 0.998005 0.267996 10: 0.241977 0.502061 0.504679 11: 0.179928 0.0316717 0.920179 12: 0.801415 0.269357 0.590299 13: 0.180298 0.862675 0.271106 14: 0.483248 0.175351 0.5558 15: 0.671334 0.973028 0.10271 L2 data interpolation error = 4.4226e-15 Graphics saved as "p01_data.png". Graphics saved as "p01_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #1. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.834339 0.22925 0.502683 2: 0.771001 0.50115 0.402199 3: 0.793079 0.337172 0.627958 4: 0.475183 0.495353 0.337208 5: 0.41318 0.821348 0.0477923 6: 0.638661 0.56867 0.272385 7: 0.620008 0.654616 0.18882 8: 0.424314 0.907968 0.137643 9: 0.939334 0.295764 0.370368 10: 0.514568 0.738907 0.068885 11: 0.0634282 0.975703 0.268164 12: 0.903988 0.50946 0.271358 13: 0.17209 0.930757 0.257143 14: 0.294599 0.815152 0.219838 15: 0.754302 0.852781 0.0933767 16: 0.812121 0.0800768 0.287958 17: 0.445049 0.354907 0.540451 18: 0.464169 0.858404 0.0672079 19: 0.738862 0.0948711 0.344484 20: 0.263733 0.310063 1.02883 21: 0.0756373 0.72579 0.336212 22: 0.186308 0.742728 0.302705 23: 0.715042 0.127287 0.395829 24: 0.155418 0.618659 0.374227 25: 0.821819 0.692801 0.121419 26: 0.419318 0.0606023 0.613058 27: 0.0633545 0.817667 0.309501 28: 0.408574 0.695596 0.134113 29: 0.258826 0.0970028 1.02803 30: 0.77269 0.859615 0.0878876 31: 0.546708 0.892623 0.119475 32: 0.683889 0.407284 0.544881 33: 0.631539 0.601532 0.234677 34: 0.880078 0.536229 0.258315 35: 0.429669 0.417656 0.469353 36: 0.86365 0.063945 0.23237 37: 0.0181493 0.101935 0.843023 38: 0.226263 0.493096 0.53104 39: 0.144448 0.228332 1.15917 40: 0.225532 0.993261 0.230074 41: 0.874516 0.300608 0.508851 42: 0.924322 0.689904 0.0866424 43: 0.251066 0.28034 1.11494 44: 0.745187 0.560042 0.29511 45: 0.579943 0.825099 0.110672 L2 data interpolation error = 2.43299e-11 Graphics saved as "p01_data.png". Graphics saved as "p01_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #2. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.411236 0.863245 0.222157 2: 0.128339 0.124919 0.107692 3: 0.203659 0.575502 0.221947 L2 data interpolation error = 9.25186e-18 Graphics saved as "p02_data.png". Graphics saved as "p02_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #2. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.140561 0.178698 0.147818 2: 0.975165 0.337121 2.28561e-06 3: 0.611823 0.1548 5.94274e-05 4: 0.947508 0.553721 0.000185383 5: 0.67161 0.181465 3.27426e-05 6: 0.807033 0.117775 9.09186e-07 L2 data interpolation error = 2.61112e-17 Graphics saved as "p02_data.png". Graphics saved as "p02_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #2. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.15355 0.358205 0.216775 2: 0.807953 0.878067 0.173195 3: 0.728454 0.0179801 6.20576e-07 4: 0.172347 0.468041 0.221143 5: 0.539839 0.176818 0.000322335 6: 0.60025 0.522468 0.0439566 7: 0.371895 0.542998 0.212456 8: 0.214154 0.67946 0.222171 9: 0.546098 0.0941673 6.51301e-05 10: 0.997869 0.619729 0.000245625 L2 data interpolation error = 4.57706e-17 Graphics saved as "p02_data.png". Graphics saved as "p02_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #2. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.287457 0.248732 0.0738811 2: 0.788283 0.356793 9.40839e-05 3: 0.545367 0.755231 0.217252 4: 0.396991 0.134097 0.00194024 5: 0.764515 0.900304 0.204475 6: 0.252832 0.174138 0.0433808 7: 0.386597 0.404857 0.129209 8: 0.0227695 0.904903 0.222222 9: 0.00200249 0.0436962 0.150952 10: 0.411989 0.668473 0.220047 11: 0.193295 0.5535 0.221883 12: 0.18331 0.795761 0.222219 13: 0.13272 0.806093 0.222221 14: 0.538041 0.055909 3.78217e-05 15: 0.852292 0.753102 0.0319187 L2 data interpolation error = 5.68733e-17 Graphics saved as "p02_data.png". Graphics saved as "p02_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #2. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.937051 0.396797 1.32872e-05 2: 0.546936 0.163526 0.000223419 3: 0.224702 0.211514 0.0979854 4: 0.811548 0.72638 0.0394559 5: 0.763927 0.859823 0.188648 6: 0.0554022 0.918877 0.222222 7: 0.92276 0.440721 3.78855e-05 8: 0.376683 0.951134 0.222215 9: 0.718419 0.376018 0.000466894 10: 0.957829 0.548203 0.000139427 11: 0.116686 0.190299 0.17556 12: 0.360116 0.223711 0.0175675 13: 0.355366 0.937623 0.222216 14: 0.0221775 0.935153 0.222222 15: 0.911077 0.0717295 6.10037e-08 16: 0.749988 0.965983 0.217761 17: 0.625236 0.598201 0.084597 18: 0.27735 0.424643 0.207576 19: 0.564006 0.335439 0.00357247 20: 0.638809 0.503961 0.018026 21: 0.00753446 0.368276 0.221886 22: 0.0589187 0.873768 0.222222 23: 0.0231205 0.700224 0.222221 24: 0.229536 0.208826 0.0906376 25: 0.414729 0.794834 0.221985 26: 0.871765 0.339362 1.53041e-05 27: 0.738512 0.570197 0.0102452 28: 0.696387 0.495971 0.00586745 29: 0.501832 0.953084 0.222156 30: 0.921576 0.162371 2.58139e-07 31: 0.905352 0.411751 3.07682e-05 32: 0.702138 0.749521 0.155816 33: 0.0666798 0.273456 0.216974 34: 0.196563 0.223643 0.137667 35: 0.117452 0.767737 0.22222 36: 0.947437 0.973439 0.136649 37: 0.0434725 0.204871 0.210689 38: 0.188441 0.0711544 0.0240038 39: 0.660955 0.342535 0.000718116 40: 0.625574 0.723729 0.189791 41: 0.247589 0.586071 0.221721 42: 0.693097 0.214542 4.03368e-05 43: 0.541197 0.0659079 4.27789e-05 44: 0.339424 0.349351 0.121012 45: 0.224516 0.957481 0.222222 L2 data interpolation error = 3.28521e-13 Graphics saved as "p02_data.png". Graphics saved as "p02_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #3. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.0274541 0.57543 0.0226727 2: 0.256526 0.200744 0.271862 3: 0.455859 0.447891 0.0734383 L2 data interpolation error = 5.17195e-18 Graphics saved as "p03_data.png". Graphics saved as "p03_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #3. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.922094 0.478006 0.016301 2: 0.989644 0.675298 0.0128103 3: 0.905446 0.911766 0.0616511 4: 0.829341 0.0605603 0.113921 5: 0.578496 0.798052 0.09279 6: 0.0433569 0.264048 0.13229 L2 data interpolation error = 2.2051e-17 Graphics saved as "p03_data.png". Graphics saved as "p03_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #3. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.79765 0.0610975 0.12448 2: 0.482683 0.275417 0.185086 3: 0.630541 0.977651 0.165928 4: 0.00906318 0.0319259 0.191398 5: 0.609086 0.751356 0.0634057 6: 0.716167 0.164117 0.13528 7: 0.0599634 0.390551 0.0734818 8: 0.359116 0.534748 0.0467325 9: 0.175795 0.64587 0.0421377 10: 0.111142 0.538912 0.0319262 L2 data interpolation error = 3.05955e-16 Graphics saved as "p03_data.png". Graphics saved as "p03_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #3. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.217788 0.966713 0.258343 2: 0.889613 0.0144339 0.098941 3: 0.690412 0.924649 0.11851 4: 0.452445 0.906022 0.211222 5: 0.664105 0.301331 0.100237 6: 0.643202 0.218118 0.145992 7: 0.176768 0.780141 0.105262 8: 0.936196 0.0728884 0.0848177 9: 0.966726 0.450512 0.0177442 10: 0.750458 0.330961 0.0672459 11: 0.364424 0.221705 0.266838 12: 0.366304 0.911205 0.240418 13: 0.477637 0.539252 0.0387748 14: 0.36483 0.844727 0.181663 15: 0.695355 0.632125 0.0219261 L2 data interpolation error = 5.65671e-16 Graphics saved as "p03_data.png". Graphics saved as "p03_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #3. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.081779 0.704583 0.0490541 2: 0.770188 0.140667 0.121132 3: 0.382072 0.680991 0.0636589 4: 0.352537 0.0103536 0.3735 5: 0.95355 0.389416 0.0277415 6: 0.567514 0.588523 0.0279715 7: 0.0913216 0.349718 0.102331 8: 0.017021 0.69943 0.0390361 9: 0.848852 0.658738 0.0164671 10: 0.953274 0.214312 0.0617421 11: 0.230792 0.233148 0.237031 12: 0.0839114 0.00710135 0.240321 13: 0.000954894 0.447297 0.0419774 14: 0.290986 0.027962 0.367177 15: 0.143971 0.900428 0.176323 16: 0.743103 0.0271573 0.148619 17: 0.285449 0.616074 0.0436169 18: 0.934413 0.822076 0.0384243 19: 0.836367 0.330597 0.0527458 20: 0.105274 0.48767 0.0427272 21: 0.887317 0.606017 0.0114544 22: 0.998474 0.544546 0.00903777 23: 0.671092 0.517812 0.0254155 24: 0.628028 0.320087 0.102246 25: 0.785923 0.0157808 0.131665 26: 0.618879 0.388294 0.0718958 27: 0.0249762 0.082327 0.193344 28: 0.337313 0.721769 0.0870521 29: 0.223607 0.582783 0.0375953 30: 0.331424 0.481452 0.0655299 31: 0.291503 0.275084 0.21909 32: 0.45831 0.288249 0.18474 33: 0.615311 0.0760326 0.210508 34: 0.366848 0.637362 0.0486271 35: 0.962321 0.9751 0.0648803 36: 0.68153 0.904378 0.113208 37: 0.604677 0.484332 0.038621 38: 0.762304 0.739102 0.0370014 39: 0.175675 0.557121 0.035255 40: 0.623726 0.286666 0.120602 41: 0.586725 0.889333 0.141529 42: 0.935439 0.733214 0.0221351 43: 0.094803 0.364334 0.0952016 44: 0.121106 0.889999 0.159326 45: 0.956371 0.733888 0.0210969 L2 data interpolation error = 5.61681e-15 Graphics saved as "p03_data.png". Graphics saved as "p03_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #4. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.289667 0.7561 0.191166 2: 0.396759 0.0870306 0.133194 3: 0.884436 0.992166 0.0462784 L2 data interpolation error = 4.62593e-18 Graphics saved as "p04_data.png". Graphics saved as "p04_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #4. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.750416 0.368878 0.222437 2: 0.902823 0.342264 0.129245 3: 0.736136 0.29212 0.201963 4: 0.344744 0.892966 0.13501 5: 0.0513732 0.387136 0.112815 6: 0.0253175 0.403418 0.101618 L2 data interpolation error = 3.34381e-17 Graphics saved as "p04_data.png". Graphics saved as "p04_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #4. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.280534 0.178014 0.15454 2: 0.342714 0.750894 0.21384 3: 0.675471 0.537031 0.283249 4: 0.0870179 0.0283513 0.0455835 5: 0.696763 0.715629 0.216537 6: 0.999724 0.355019 0.084648 7: 0.0576463 0.560908 0.12148 8: 0.596194 0.1351 0.162101 9: 0.960792 0.481654 0.113582 10: 0.547261 0.592434 0.315633 L2 data interpolation error = 6.20478e-17 Graphics saved as "p04_data.png". Graphics saved as "p04_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #4. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.384941 0.750448 0.226916 2: 0.670347 0.748581 0.210485 3: 0.387772 0.708848 0.250778 4: 0.156636 0.103674 0.0828548 5: 0.365205 0.721925 0.236945 6: 0.213557 0.833272 0.125396 7: 0.0443363 0.484752 0.116378 8: 0.297574 0.951439 0.0965418 9: 0.0125531 0.709009 0.0802476 10: 0.308716 0.898862 0.12378 11: 0.75574 0.562724 0.234657 12: 0.381895 0.313778 0.260595 13: 0.531119 0.533519 0.329822 14: 0.0449063 0.959178 0.0401751 15: 0.795216 0.147599 0.114347 L2 data interpolation error = 9.24491e-16 Graphics saved as "p04_data.png". Graphics saved as "p04_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #4. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.726991 0.496384 0.256783 2: 0.989133 0.849218 0.0535462 3: 0.098765 0.382809 0.137635 4: 0.893966 0.346548 0.134853 5: 0.740432 0.455191 0.246245 6: 0.814259 0.237743 0.142734 7: 0.633561 0.942261 0.113141 8: 0.510877 0.484549 0.332731 9: 0.0769283 0.978281 0.0423068 10: 0.0992916 0.787019 0.0974388 11: 0.498429 0.168111 0.190851 12: 0.839422 0.242817 0.133094 13: 0.978724 0.447311 0.103016 14: 0.614714 0.637239 0.283489 15: 0.142093 0.00416705 0.0502009 16: 0.630531 0.895119 0.138731 17: 0.687029 0.311745 0.233374 18: 0.288737 0.554673 0.261926 19: 0.720651 0.532579 0.25912 20: 0.230037 0.0986912 0.10199 21: 0.45072 0.0187573 0.101942 22: 0.274244 0.574101 0.250468 23: 0.0774468 0.386262 0.126436 24: 0.297585 0.168761 0.155441 25: 0.645209 0.102593 0.134675 26: 0.66067 0.708802 0.234567 27: 0.612273 0.325046 0.267835 28: 0.758689 0.548988 0.234678 29: 0.22491 0.813238 0.138285 30: 0.896969 0.267374 0.114139 31: 0.0629241 0.0390557 0.0432241 32: 0.754302 0.394671 0.227145 33: 0.272993 0.300927 0.210111 34: 0.453178 0.265218 0.249382 35: 0.437169 0.86317 0.167578 36: 0.62428 0.467416 0.30661 37: 0.317873 0.875983 0.137767 38: 0.942529 0.687405 0.103539 39: 0.568795 0.551724 0.321064 40: 0.529723 0.143331 0.174279 41: 0.458139 0.758265 0.235709 42: 0.502481 0.357336 0.300689 43: 0.826068 0.164347 0.110007 44: 0.996085 0.758906 0.0682999 45: 0.641627 0.237742 0.212598 L2 data interpolation error = 4.73588e-15 Graphics saved as "p04_data.png". Graphics saved as "p04_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #5. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.254677 0.500123 0.0985369 2: 0.945607 0.633096 0.0041765 3: 0.495572 0.620623 0.248169 L2 data interpolation error = 7.13378e-17 Graphics saved as "p05_data.png". Graphics saved as "p05_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #5. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.980293 0.949925 5.17453e-05 2: 0.0372755 0.257593 0.00132766 3: 0.160495 0.0148262 0.000274812 4: 0.229853 0.157342 0.00705452 5: 0.265271 0.319744 0.0565684 6: 0.338942 0.79788 0.0326885 L2 data interpolation error = 1.29313e-16 Graphics saved as "p05_data.png". Graphics saved as "p05_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #5. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.751074 0.82026 0.0116541 2: 0.283782 0.584666 0.111866 3: 0.692925 0.00341163 0.00106374 4: 0.437662 0.626092 0.223294 5: 0.835672 0.238323 0.00850669 6: 0.312255 0.306147 0.0762789 7: 0.963302 0.442637 0.00403846 8: 0.544244 0.177103 0.0387911 9: 0.897165 0.776128 0.00291805 10: 0.715698 0.603354 0.104657 L2 data interpolation error = 2.5645e-16 Graphics saved as "p05_data.png". Graphics saved as "p05_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #5. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.734913 0.735001 0.0356357 2: 0.421663 0.474474 0.290523 3: 0.822947 0.494299 0.0403068 4: 0.587144 0.252832 0.0829511 5: 0.312126 0.508722 0.162853 6: 0.943721 0.859828 0.000449441 7: 0.607913 0.675236 0.141387 8: 0.86065 0.452834 0.0228788 9: 0.0101366 0.783039 0.000510469 10: 0.107601 0.843087 0.00136004 11: 0.142701 0.429991 0.0227535 12: 0.424277 0.491279 0.296335 13: 0.406516 0.757382 0.0730175 14: 0.719997 0.923645 0.00330258 15: 0.397465 0.0274137 0.00292605 L2 data interpolation error = 7.21899e-15 Graphics saved as "p05_data.png". Graphics saved as "p05_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #5. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.0415892 0.163794 0.000479431 2: 0.689727 0.0984302 0.00613946 3: 0.822399 0.625767 0.0294896 4: 0.0479629 0.425769 0.00475752 5: 0.421202 0.201561 0.0484156 6: 0.370523 0.16828 0.0255693 7: 0.890814 0.818147 0.00194761 8: 0.848632 0.196955 0.00442904 9: 0.804483 0.633848 0.0354805 10: 0.700485 0.347761 0.0923771 11: 0.65639 0.178931 0.0251886 12: 0.305179 0.461081 0.149887 13: 0.912098 0.850039 0.000894963 14: 0.458252 0.240254 0.0820743 15: 0.127471 0.288646 0.0081199 16: 0.419532 0.417155 0.254434 17: 0.896499 0.744853 0.00410236 18: 0.948189 0.548327 0.00544205 19: 0.348208 0.177206 0.0253454 20: 0.692324 0.0646034 0.0033917 21: 0.930801 0.283715 0.00301521 22: 0.847217 0.21878 0.00584941 23: 0.436242 0.662827 0.179459 24: 0.650993 0.703695 0.0906726 25: 0.445994 0.867452 0.0204075 26: 0.192593 0.802798 0.00768204 27: 0.346895 0.443642 0.194443 28: 0.690352 0.582419 0.13947 29: 0.786679 0.611257 0.0491188 30: 0.368387 0.0186162 0.00215079 31: 0.145656 0.327839 0.0143874 32: 0.520547 0.313558 0.16348 33: 0.912764 0.655329 0.00649153 34: 0.33686 0.543069 0.187285 35: 0.259497 0.865091 0.00694969 36: 0.125725 0.0550668 0.000354759 37: 0.0786622 0.649572 0.00581956 38: 0.622612 0.589747 0.208848 39: 0.2545 0.913626 0.00307767 40: 0.717669 0.0762655 0.00336624 41: 0.24458 0.814926 0.0119375 42: 0.643645 0.351725 0.140625 43: 0.641056 0.237318 0.0550887 44: 0.71859 0.676206 0.0675473 45: 0.724031 0.205743 0.020893 L2 data interpolation error = 2.52098e-13 Graphics saved as "p05_data.png". Graphics saved as "p05_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #6. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.280412 0.462732 0.360532 2: 0.877495 0.979097 0.146597 3: 0.340106 0.114266 0.284708 L2 data interpolation error = 9.25186e-18 Graphics saved as "p06_data.png". Graphics saved as "p06_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #6. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.730484 0.570186 0.355614 2: 0.115951 0.341602 0.285837 3: 0.752369 0.100095 0.252668 4: 0.818564 0.304962 0.306598 5: 0.365854 0.250393 0.342511 6: 0.822028 0.0144996 0.17135 L2 data interpolation error = 5.47347e-17 Graphics saved as "p06_data.png". Graphics saved as "p06_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #6. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.535456 0.958995 0.260388 2: 0.369017 0.951849 0.254188 3: 0.198152 0.488357 0.335988 4: 0.0286983 0.930768 0.118415 5: 0.941849 0.0750416 0.143664 6: 0.888475 0.768274 0.253153 7: 0.138336 0.390079 0.304512 8: 0.605072 0.599055 0.377081 9: 0.173615 0.975066 0.176689 10: 0.178963 0.0369744 0.187507 L2 data interpolation error = 2.85761e-17 Graphics saved as "p06_data.png". Graphics saved as "p06_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #6. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.282219 0.379459 0.353326 2: 0.080038 0.110829 0.179927 3: 0.93634 0.834668 0.198376 4: 0.766444 0.53678 0.347218 5: 0.512822 0.470101 0.388293 6: 0.352192 0.69353 0.354882 7: 0.635117 0.74567 0.343512 8: 0.383626 0.797226 0.329601 9: 0.452702 0.448984 0.386162 10: 0.552835 0.242479 0.349126 11: 0.729415 0.788099 0.309006 12: 0.884382 0.511122 0.301405 13: 0.614111 0.24529 0.343934 14: 0.89459 0.300907 0.271223 15: 0.881264 0.750357 0.262944 L2 data interpolation error = 7.36671e-17 Graphics saved as "p06_data.png". Graphics saved as "p06_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #6. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.352183 0.302384 0.353945 2: 0.177846 0.785288 0.277786 3: 0.386102 0.0108157 0.233382 4: 0.490113 0.597984 0.383417 5: 0.47789 0.680668 0.370054 6: 0.125193 0.960178 0.161725 7: 0.0793311 0.916021 0.163391 8: 0.54161 0.536507 0.387164 9: 0.219302 0.565428 0.340863 10: 0.0240299 0.671543 0.230855 11: 0.562135 0.443054 0.384884 12: 0.748987 0.175892 0.289356 13: 0.965433 0.206346 0.198042 14: 0.0133877 0.24146 0.197488 15: 0.375086 0.637029 0.369335 16: 0.178801 0.100455 0.226167 17: 0.580843 0.777561 0.340564 18: 0.310399 0.785051 0.320318 19: 0.900401 0.0718308 0.168187 20: 0.230258 0.628212 0.337212 21: 0.658518 0.35585 0.36268 22: 0.983639 0.650649 0.230426 23: 0.894847 0.218676 0.245034 24: 0.311487 0.723055 0.339543 25: 0.542391 0.165976 0.322651 26: 0.999072 0.419625 0.231157 27: 0.855187 0.851276 0.235235 28: 0.888902 0.245992 0.257865 29: 0.911059 0.0539957 0.149796 30: 0.583013 0.312616 0.364939 31: 0.903172 0.412345 0.287333 32: 0.708081 0.574391 0.360983 33: 0.300854 0.410755 0.361684 34: 0.827959 0.142362 0.244756 35: 0.770645 0.637584 0.335431 36: 0.688681 0.561822 0.36643 37: 0.743364 0.384464 0.347083 38: 0.896206 0.198377 0.236321 39: 0.114868 0.413649 0.296455 40: 0.819415 0.631193 0.319076 41: 0.735619 0.221735 0.310664 42: 0.105128 0.7265 0.263477 43: 0.145384 0.277931 0.284255 44: 0.500074 0.680548 0.37036 45: 0.75121 0.681966 0.33301 L2 data interpolation error = 3.92834e-15 Graphics saved as "p06_data.png". Graphics saved as "p06_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #7. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.0178792 0.204403 1.78835 2: 0.395505 0.279573 0.427996 3: 0.534663 0.348597 0.55727 L2 data interpolation error = 8.27511e-17 Graphics saved as "p07_data.png". Graphics saved as "p07_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #7. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.131343 0.412327 0.0922158 2: 0.887101 0.186351 -0.632127 3: 0.436765 0.36143 1.30771 4: 0.344579 0.0437674 -0.658508 5: 0.114916 0.0873712 0.727795 6: 0.175271 0.697203 0.709785 L2 data interpolation error = 3.8292e-16 Graphics saved as "p07_data.png". Graphics saved as "p07_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #7. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.413779 0.564779 1.36572 2: 0.0855494 0.460794 -0.920467 3: 0.508947 0.914431 -0.794447 4: 0.621491 0.356092 -0.0116577 5: 0.272419 0.990441 1.27272 6: 0.506035 0.397174 0.401855 7: 0.469103 0.859191 -0.807984 8: 0.175387 0.275822 0.328911 9: 0.0549171 0.00176911 0.0311494 10: 0.0706024 0.406561 -0.931397 L2 data interpolation error = 5.19884e-15 Graphics saved as "p07_data.png". Graphics saved as "p07_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #7. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.993233 0.300227 -0.0837685 2: 0.286165 0.351217 1.54029 3: 0.258589 0.0715736 -0.930849 4: 0.112816 0.876705 1.35919 5: 0.821033 0.317695 0.532966 6: 0.681345 0.354615 -0.0156491 7: 0.228931 0.999819 1.46728 8: 0.986904 0.948255 0.170635 9: 0.691147 0.438977 -1.42718 10: 0.306157 0.34631 1.50244 11: 0.897615 0.869167 -0.20728 12: 0.518563 0.000903767 0.0129247 13: 0.169031 0.416189 0.850109 14: 0.0871642 0.847854 1.71773 15: 0.779262 0.80565 0.115082 L2 data interpolation error = 1.55574e-14 Graphics saved as "p07_data.png". Graphics saved as "p07_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #7. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.55863 0.204814 2.27261 2: 0.506742 0.686356 0.0510784 3: 0.328745 0.606316 1.34396 4: 0.519007 0.363734 0.512807 5: 0.752364 0.339049 0.397145 6: 0.549229 0.0140148 0.273359 7: 0.920666 0.211627 -0.739692 8: 0.571207 0.698899 0.339759 9: 0.91162 0.81024 -0.954422 10: 0.387952 0.19141 -0.717198 11: 0.90853 0.158808 -0.893752 12: 0.79132 0.926147 0.845981 13: 0.943583 0.669611 -0.767386 14: 0.639276 0.161447 2.84448 15: 0.847978 0.456068 0.494332 16: 0.168313 0.0440579 -0.02152 17: 0.300142 0.166567 -1.49211 18: 0.918626 0.19074 -0.850727 19: 0.0504746 0.815384 2.07252 20: 0.605647 0.0402704 1.00524 21: 0.889205 0.347552 0.615794 22: 0.762044 0.720377 -0.34447 23: 0.272028 0.85662 -0.656238 24: 0.706505 0.762521 0.601429 25: 0.736443 0.710482 -0.179204 26: 0.329035 0.877505 -0.945021 27: 0.392234 0.0763061 -0.687104 28: 0.475544 0.346887 0.969224 29: 0.400533 0.81676 -1.36527 30: 0.120705 0.0620104 0.48828 31: 0.107277 0.712597 1.40534 32: 0.959723 0.212105 -0.785597 33: 0.0599563 0.125527 1.64484 34: 0.321082 0.187628 -1.33618 35: 0.247876 0.0778254 -0.915052 36: 0.207166 0.28636 0.295505 37: 0.455004 0.118047 0.212713 38: 0.228689 0.31334 0.646051 39: 0.446276 0.202479 0.341531 40: 0.0549389 0.0328745 0.56875 41: 0.713409 0.0513465 1.00587 42: 0.999286 0.853039 -0.531059 43: 0.91952 0.406522 0.992006 44: 0.96973 0.271872 -0.306522 45: 0.797211 0.128211 0.627251 L2 data interpolation error = 8.2645e-12 Graphics saved as "p07_data.png". Graphics saved as "p07_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #8. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.890446 0.162532 0.0030146 2: 0.906476 0.188419 0.00610687 3: 0.665526 0.318308 0.434653 L2 data interpolation error = 2.38432e-17 Graphics saved as "p08_data.png". Graphics saved as "p08_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #8. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.857922 0.777198 0.0177684 2: 0.346704 0.499638 1.29043 3: 0.0539231 0.789188 0.011505 4: 0.547422 0.069783 0.893784 5: 0.517239 0.195378 0.999634 6: 0.136745 0.262896 0.0465374 L2 data interpolation error = 5.2948e-16 Graphics saved as "p08_data.png". Graphics saved as "p08_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #8. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.820423 0.585342 0.530049 2: 0.143382 0.0180154 0.0017382 3: 0.409813 0.0555381 0.665921 4: 0.441808 0.148276 0.84709 5: 0.661405 0.230761 0.297263 6: 0.465643 0.370142 1.56972 7: 0.245334 0.349149 0.288839 8: 0.192368 0.608006 0.431053 9: 0.616784 0.218664 0.527225 10: 0.942307 0.941027 0.000101292 L2 data interpolation error = 1.40663e-15 Graphics saved as "p08_data.png". Graphics saved as "p08_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #8. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.245798 0.273691 0.0997434 2: 0.123332 0.214189 0.0134655 3: 0.948115 0.138695 0.00114112 4: 0.00701071 0.798 0.00885057 5: 0.726559 0.204334 0.0870157 6: 0.327017 0.103464 0.224344 7: 0.306152 0.533303 0.970701 8: 0.332231 0.973336 0.244813 9: 0.756566 0.338062 0.246847 10: 0.53266 0.116547 0.949 11: 0.445751 0.279848 0.987006 12: 0.375481 0.739007 0.523561 13: 0.299586 0.391064 0.604184 14: 0.707399 0.483205 0.941976 15: 0.32311 0.447882 1.00092 L2 data interpolation error = 6.14018e-15 Graphics saved as "p08_data.png". Graphics saved as "p08_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #8. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.917947 0.710091 0.0827045 2: 0.433448 0.314572 1.04347 3: 0.51937 0.67354 1.31108 4: 0.188446 0.417805 0.546981 5: 0.322512 0.374026 0.616398 6: 0.379498 0.196918 0.495088 7: 0.692187 0.80206 0.166808 8: 0.848924 0.881748 0.002786 9: 0.515911 0.26008 1.07126 10: 0.379424 0.41782 1.27711 11: 0.0199733 0.654182 0.228495 12: 0.422275 0.542553 1.93085 13: 0.258383 0.0191522 0.0539991 14: 0.820615 0.137215 0.0069057 15: 0.0549329 0.352916 0.25433 16: 0.877473 0.376545 0.351116 17: 0.0808398 0.366248 0.306816 18: 0.0348824 0.270704 0.0541427 19: 0.104645 0.213851 0.0129121 20: 0.517597 0.187131 0.995783 21: 0.735436 0.667648 0.258049 22: 0.245374 0.396812 0.496715 23: 0.411943 0.103501 0.679101 24: 0.824218 0.178173 0.00946568 25: 0.0338494 0.986894 2.44555e-05 26: 0.755733 0.553249 0.713608 27: 0.922938 0.133253 0.00103089 28: 0.24025 0.0354467 0.0342857 29: 0.406684 0.134979 0.648592 30: 0.617319 0.538429 1.54914 31: 0.359092 0.558777 1.2354 32: 0.509537 0.876457 0.996715 33: 0.743669 0.532565 0.799173 34: 0.175315 0.995878 0.00514185 35: 0.425532 0.903356 0.758231 36: 0.332289 0.66137 0.499007 37: 0.501991 0.161101 1.00461 38: 0.116379 0.884209 0.00110492 39: 0.708874 0.880324 0.113484 40: 0.961704 0.707187 0.0877101 41: 0.744018 0.480059 0.823616 42: 0.852399 0.811246 0.00793106 43: 0.885931 0.458662 0.689566 44: 0.821074 0.929802 0.00584726 45: 0.730915 0.944133 0.0695663 L2 data interpolation error = 9.36315e-12 Graphics saved as "p08_data.png". Graphics saved as "p08_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #9. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.463474 0.98532 -2.23476 2: 0.309876 0.0199509 2.39129 3: 0.685153 0.800105 41.1521 L2 data interpolation error = 2.66454e-15 Graphics saved as "p09_data.png". Graphics saved as "p09_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #9. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.626743 0.513813 11.4713 2: 0.562497 0.244608 -22.4818 3: 0.369761 0.877648 -15.7489 4: 0.794353 0.526935 12.3277 5: 0.86049 0.996318 1.71665 6: 0.347696 0.597458 -52.3749 L2 data interpolation error = 1.12664e-14 Graphics saved as "p09_data.png". Graphics saved as "p09_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #9. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.476188 0.461066 7.01736 2: 0.625549 0.123854 -11.6185 3: 0.343337 0.0323742 3.09144 4: 0.765066 0.0664413 -4.19147 5: 0.358187 0.896245 -12.9823 6: 0.114342 0.578773 -8.00561 7: 0.132 0.170323 3.01973 8: 0.18327 0.122415 3.08723 9: 0.863521 0.138622 -4.08108 10: 0.0641308 0.0821048 0.560343 L2 data interpolation error = 1.10065e-14 Graphics saved as "p09_data.png". Graphics saved as "p09_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #9. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.353877 0.213414 21.1375 2: 0.777058 0.771411 32.1924 3: 0.865148 0.814804 10.8559 4: 0.453241 0.218265 12.6592 5: 0.0729647 0.528602 -1.99992 6: 0.460456 0.767805 -19.9474 7: 0.475798 0.0622219 1.41944 8: 0.473597 0.202006 6.60599 9: 0.84135 0.666607 29.8494 10: 0.835238 0.697179 29.5142 11: 0.0254649 0.661387 -3.92131 12: 0.382078 0.850645 -20.2476 13: 0.621764 0.176238 -19.5571 14: 0.616112 0.0163331 -3.30248 15: 0.531088 0.884246 6.28908 L2 data interpolation error = 5.71964e-13 Graphics saved as "p09_data.png". Graphics saved as "p09_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #9. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.291952 0.695056 -46.758 2: 0.934342 0.446656 -5.49772 3: 0.243263 0.532421 -12.0452 4: 0.656146 0.611697 77.2989 5: 0.123762 0.522141 -2.72004 6: 0.644553 0.194693 -24.2496 7: 0.41785 0.349823 39.1466 8: 0.450693 0.619121 -35.1977 9: 0.966878 0.54933 3.99039 10: 0.680203 0.49353 -5.28911 11: 0.918873 0.75857 9.49414 12: 0.136211 0.545719 -6.30123 13: 0.251967 0.735163 -30.6697 14: 0.263344 0.641862 -41.8556 15: 0.0278887 0.984095 -0.319291 16: 0.528052 0.587736 19.1722 17: 0.67859 0.224639 -30.7118 18: 0.174638 0.897274 -4.16673 19: 0.0401125 0.00414847 0.169466 20: 0.0239774 0.00072568 0.134228 21: 0.406328 0.800496 -29.0599 22: 0.987303 0.969474 0.596436 23: 0.802445 0.434376 -23.1657 24: 0.0313457 0.750368 -3.05144 25: 0.4962 0.396661 2.27282 26: 0.705369 0.380605 -55.7752 27: 0.10829 0.902711 -1.98573 28: 0.553922 0.250122 -20.5448 29: 0.693808 0.660667 78.631 30: 0.284726 0.565231 -30.4205 31: 0.393561 0.887167 -13.7774 32: 0.935756 0.467774 -3.5091 33: 0.861614 0.145495 -4.46295 34: 0.303752 0.183167 13.8167 35: 0.614719 0.812624 36.0558 36: 0.20527 0.748591 -19.5523 37: 0.0502392 0.842008 -1.87497 38: 0.209924 0.697296 -25.8429 39: 0.698239 0.583056 59.5856 40: 0.151112 0.848757 -5.34114 41: 0.859898 0.544785 11.387 42: 0.324891 0.69706 -53.7152 43: 0.556593 0.173639 -11.1665 44: 0.178392 0.00462626 0.761426 45: 0.863703 0.683164 23.4938 L2 data interpolation error = 1.23632e-09 Graphics saved as "p09_data.png". Graphics saved as "p09_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #10. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.46362 0.56714 0.409273 2: 0.184951 0.394419 -0.21197 3: 0.92042 0.408305 0.116076 L2 data interpolation error = 6.01371e-17 Graphics saved as "p10_data.png". Graphics saved as "p10_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #10. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.471695 0.0223786 0.176052 2: 0.567421 0.921205 0.185465 3: 0.165726 0.315986 0.00165578 4: 0.556648 0.355489 -0.273888 5: 0.792534 0.495812 -0.365673 6: 0.384829 0.490546 0.125591 L2 data interpolation error = 3.01892e-16 Graphics saved as "p10_data.png". Graphics saved as "p10_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #10. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.266828 0.557179 -0.448045 2: 0.977575 0.977306 -0.0697831 3: 0.155155 0.673235 0.0115056 4: 0.0927367 0.832699 0.159746 5: 0.539399 0.837304 -0.0394988 6: 0.150413 0.946434 0.068996 7: 0.916488 0.569296 0.0937373 8: 0.305688 0.476038 -0.376647 9: 0.340251 0.0353574 0.167356 10: 0.480205 0.339133 -0.321685 L2 data interpolation error = 1.20434e-15 Graphics saved as "p10_data.png". Graphics saved as "p10_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #10. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.526928 0.114761 0.11911 2: 0.698683 0.777324 -0.0827874 3: 0.543769 0.458308 0.584763 4: 0.709636 0.0229005 0.127687 5: 0.914481 0.0878968 0.0521497 6: 0.278974 0.756574 -0.107069 7: 0.654891 0.968668 0.164026 8: 0.0495222 0.906064 0.0198267 9: 0.443057 0.355306 -0.275405 10: 0.6791 0.204652 -0.0543331 11: 0.0239842 0.758221 0.154054 12: 0.150446 0.233785 0.166241 13: 0.0985039 0.839189 0.158799 14: 0.324322 0.412411 -0.393062 15: 0.080365 0.361725 0.146053 L2 data interpolation error = 1.52315e-14 Graphics saved as "p10_data.png". Graphics saved as "p10_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #10. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.1985 0.922333 0.147321 2: 0.204698 0.201565 0.145308 3: 0.0601905 0.0852252 0.020381 4: 0.877165 0.749988 0.17832 5: 0.717868 0.391866 -0.445137 6: 0.880116 0.214728 0.193616 7: 0.73753 0.37682 -0.409592 8: 0.507093 0.665868 -0.341656 9: 0.274478 0.298062 -0.27466 10: 0.235716 0.821484 0.146771 11: 0.247251 0.763342 -0.0112979 12: 0.351518 0.604164 -0.351291 13: 0.340505 0.0378389 0.170314 14: 0.695287 0.0345387 0.152468 15: 0.557936 0.915558 0.178926 16: 0.229854 0.316618 -0.199469 17: 0.120713 0.658096 0.0809862 18: 0.700028 0.448627 -0.411028 19: 0.0508513 0.500051 0.148903 20: 0.997518 0.885286 -0.00776683 21: 0.816897 0.980972 0.0434703 22: 0.101214 0.167659 0.167295 23: 0.914435 0.645692 0.142626 24: 0.61891 0.184946 -0.0677935 25: 0.405751 0.960825 0.185082 26: 0.883475 0.123597 0.135114 27: 0.436886 0.340306 -0.356152 28: 0.419207 0.199856 -0.170977 29: 0.131177 0.888384 0.134372 30: 0.316603 0.877263 0.168952 31: 0.331107 0.45937 -0.288219 32: 0.529933 0.239893 -0.361107 33: 0.779359 0.122624 0.193317 34: 0.0903331 0.892492 0.0852692 35: 0.249472 0.0803472 0.17928 36: 0.073361 0.59414 0.130669 37: 0.584228 0.258946 -0.38888 38: 0.898383 0.104645 0.0940456 39: 0.786111 0.573478 -0.350133 40: 0.874352 0.290591 0.136179 41: 0.701138 0.69735 -0.344671 42: 0.5421 0.362598 -0.206318 43: 0.959354 0.381083 0.185324 44: 0.347584 0.0547863 0.187245 45: 0.333127 0.957552 0.173107 L2 data interpolation error = 1.57088e-11 Graphics saved as "p10_data.png". Graphics saved as "p10_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #11. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.623799 0.200722 0.749009 2: 0.911718 0.324316 1.2074 3: 0.994931 0.74152 1.73269 L2 data interpolation error = 7.40149e-17 Graphics saved as "p11_data.png". Graphics saved as "p11_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #11. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.161812 0.486919 0.240601 2: 0.849123 0.00781689 0.85576 3: 0.887254 0.373379 1.21854 4: 0.377208 0.780724 0.671703 5: 0.342167 0.899136 0.649821 6: 0.927634 0.979989 1.83671 L2 data interpolation error = 1.01349e-16 Graphics saved as "p11_data.png". Graphics saved as "p11_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #11. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.0321517 0.646913 0.0529511 2: 0.146472 0.269098 0.185887 3: 0.136015 0.477769 0.200999 4: 0.496741 0.859619 0.923748 5: 0.43523 0.0455613 0.455059 6: 0.305796 0.777868 0.543665 7: 0.711406 0.93386 1.37576 8: 0.328105 0.0503158 0.344614 9: 0.982621 0.338146 1.31489 10: 0.810949 0.848521 1.49906 L2 data interpolation error = 5.8813e-17 Graphics saved as "p11_data.png". Graphics saved as "p11_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #11. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.20448 0.88258 0.38495 2: 0.770081 0.569096 1.20833 3: 0.787338 0.474522 1.16095 4: 0.892274 0.975029 1.76227 5: 0.306909 0.00278033 0.307762 6: 0.0462483 0.605743 0.0742628 7: 0.0478525 0.293622 0.0619031 8: 0.634757 0.580191 1.00304 9: 0.842038 0.568425 1.32067 10: 0.624956 0.548291 0.967614 11: 0.0370081 0.481677 0.054834 12: 0.612124 0.150016 0.703952 13: 0.064581 0.988112 0.128394 14: 0.592047 0.49657 0.88604 15: 0.954812 0.870802 1.78626 L2 data interpolation error = 8.70622e-17 Graphics saved as "p11_data.png". Graphics saved as "p11_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #11. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.0331623 0.0977404 0.0364036 2: 0.286359 0.4115 0.404197 3: 0.50983 0.429227 0.728663 4: 0.250103 0.126807 0.281818 5: 0.206224 0.784719 0.368051 6: 0.913608 0.263521 1.15436 7: 0.255415 0.175664 0.300282 8: 0.0121105 0.259214 0.0152497 9: 0.108423 0.533572 0.166274 10: 0.189876 0.271821 0.241488 11: 0.729626 0.114267 0.812998 12: 0.529347 0.343065 0.710947 13: 0.272571 0.741577 0.474704 14: 0.74273 0.90344 1.41374 15: 0.751331 0.433454 1.077 16: 0.36494 0.204771 0.439669 17: 0.238365 0.615532 0.385086 18: 0.000190891 0.419844 0.000271035 19: 0.101584 0.76721 0.17952 20: 0.843527 0.229712 1.0373 21: 0.96044 0.824787 1.7526 22: 0.58042 0.132059 0.65707 23: 0.744429 0.4318 1.06587 24: 0.793256 0.107485 0.878519 25: 0.0787996 0.393608 0.109816 26: 0.176495 0.980243 0.349502 27: 0.454707 0.920989 0.873487 28: 0.39651 0.554524 0.616384 29: 0.721592 0.971661 1.42273 30: 0.70775 0.802452 1.27568 31: 0.521162 0.534791 0.799875 32: 0.51447 0.585884 0.81589 33: 0.444732 0.0254257 0.45604 34: 0.572775 0.764928 1.01091 35: 0.520432 0.689829 0.879441 36: 0.44411 0.84838 0.820884 37: 0.852699 0.911685 1.63009 38: 0.790402 0.845684 1.45883 39: 0.0334298 0.57509 0.0526549 40: 0.246902 0.289762 0.318445 41: 0.332007 0.97446 0.655534 42: 0.621078 0.250958 0.776943 43: 0.999648 0.648256 1.64768 44: 0.273255 0.699333 0.464351 45: 0.283962 0.551717 0.440628 L2 data interpolation error = 3.72426e-17 Graphics saved as "p11_data.png". Graphics saved as "p11_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #12. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.0175138 0.281915 0.797863 2: 0.896706 0.439243 0.428773 3: 0.886479 0.453328 0.438369 L2 data interpolation error = 1.85037e-17 Graphics saved as "p12_data.png". Graphics saved as "p12_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #12. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.436504 0.518477 0.52032 2: 0.901531 0.512657 0.551167 3: 0.198475 0.66276 0.554768 4: 0.708699 0.752373 0.762258 5: 0.442661 0.82233 0.605312 6: 0.944594 0.617022 0.830121 L2 data interpolation error = 2.75699e-16 Graphics saved as "p12_data.png". Graphics saved as "p12_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #12. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.492759 0.364685 0.493089 2: 0.886518 0.215383 0.175559 3: 0.724853 0.497154 0.373269 4: 0.918589 0.965689 1.72454 5: 0.19218 0.0400975 0.182345 6: 0.972403 0.919978 1.66826 7: 0.342443 0.768721 0.496825 8: 0.218874 0.306371 0.875953 9: 0.523837 0.347283 0.444957 10: 0.515875 0.910457 0.897833 L2 data interpolation error = 5.19437e-16 Graphics saved as "p12_data.png". Graphics saved as "p12_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #12. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.352577 0.987839 0.923697 2: 0.746637 0.670985 0.63797 3: 0.839684 0.875003 1.34323 4: 0.486036 0.305576 0.487467 5: 0.513002 0.0364634 0.0756668 6: 0.730905 0.0383334 0.0351488 7: 0.0833354 0.51596 0.781864 8: 0.682897 0.0547428 0.0586882 9: 0.0925572 0.499048 0.808167 10: 0.583234 0.920595 1.03188 11: 0.46633 0.129664 0.297018 12: 0.315693 0.134259 0.458951 13: 0.733444 0.299995 0.235549 14: 0.0921433 0.52852 0.765603 15: 0.543439 0.205811 0.326546 L2 data interpolation error = 1.48844e-15 Graphics saved as "p12_data.png". Graphics saved as "p12_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #12. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.528773 0.6378 0.447414 2: 0.137825 0.0161615 0.0786758 3: 0.0865537 0.441948 0.873119 4: 0.0344643 0.88728 0.493503 5: 0.0635233 0.0677875 0.315492 6: 0.341031 0.665379 0.499399 7: 0.638015 0.364364 0.321086 8: 0.1213 0.760996 0.475304 9: 0.865407 0.155832 0.121736 10: 0.44681 0.463457 0.537992 11: 0.10855 0.858351 0.491603 12: 0.7294 0.583336 0.472334 13: 0.400791 0.242404 0.570036 14: 0.584611 0.601175 0.427997 15: 0.826811 0.756269 0.972754 16: 0.348989 0.403439 0.712974 17: 0.378819 0.532509 0.574556 18: 0.823712 0.367849 0.290803 19: 0.0190804 0.702314 0.4939 20: 0.548971 0.356321 0.412707 21: 0.260705 0.831208 0.520062 22: 0.429892 0.561519 0.50171 23: 0.509691 0.187778 0.34527 24: 0.767151 0.246231 0.191248 25: 0.0928068 0.256712 0.848898 26: 0.0909233 0.415902 0.896096 27: 0.691321 0.55639 0.416522 28: 0.681672 0.242719 0.225252 29: 0.507373 0.771375 0.570477 30: 0.49109 0.398017 0.495164 31: 0.576034 0.0601923 0.09759 32: 0.820462 0.710652 0.842478 33: 0.0488099 0.495188 0.794308 34: 0.324748 0.96019 0.811096 35: 0.882883 0.819392 1.25438 36: 0.727154 0.966781 1.4361 37: 0.367043 0.903275 0.70541 38: 0.905752 0.829065 1.32231 39: 0.608966 0.525962 0.389038 40: 0.194031 0.675261 0.541698 41: 0.0463022 0.913127 0.532119 42: 0.895723 0.679494 0.896131 43: 0.254519 0.0753242 0.305896 44: 0.354245 0.372646 0.714293 45: 0.65042 0.126796 0.147355 L2 data interpolation error = 3.45554e-15 Graphics saved as "p12_data.png". Graphics saved as "p12_poly08.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #13. Create an interpolant of total degree 1. Number of data values needed is 3 X, Y, Z data: 1: 0.856489 0.568383 0.0705415 2: 0.152985 0.367066 0.0675261 3: 0.296285 0.529228 0.191007 L2 data interpolation error = 3.523e-17 Graphics saved as "p13_data.png". Graphics saved as "p13_poly01.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #13. Create an interpolant of total degree 2. Number of data values needed is 6 X, Y, Z data: 1: 0.103889 0.891189 0.0312566 2: 0.808834 0.294524 0.0677513 3: 0.195932 0.00179456 0.0285172 4: 0.590179 0.266776 0.137882 5: 0.384503 0.278238 0.137897 6: 0.0906411 0.469927 0.056029 L2 data interpolation error = 5.16807e-17 Graphics saved as "p13_data.png". Graphics saved as "p13_poly02.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #13. Create an interpolant of total degree 3. Number of data values needed is 10 X, Y, Z data: 1: 0.388791 0.453938 0.408344 2: 0.649018 0.82837 0.0714117 3: 0.307879 0.0554857 0.0408992 4: 0.572599 0.557353 0.538793 5: 0.262582 0.864424 0.0502079 6: 0.634595 0.399859 0.262164 7: 0.389546 0.493967 0.44971 8: 0.0788625 0.476469 0.0532168 9: 0.36103 0.181847 0.0766083 10: 0.639658 0.712982 0.133573 L2 data interpolation error = 1.27691e-15 Graphics saved as "p13_data.png". Graphics saved as "p13_poly03.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #13. Create an interpolant of total degree 4. Number of data values needed is 15 X, Y, Z data: 1: 0.338894 0.694869 0.135265 2: 0.428209 0.827228 0.0818116 3: 0.412649 0.833755 0.0775057 4: 0.928008 0.140952 0.0310457 5: 0.817954 0.866326 0.0407681 6: 0.642083 0.104412 0.0535682 7: 0.225291 0.640617 0.0950223 8: 0.511821 0.452351 0.805794 9: 0.100807 0.569103 0.0574283 10: 0.822983 0.822878 0.0457524 11: 0.357386 0.304274 0.145672 12: 0.582153 0.406343 0.391837 13: 0.778698 0.550132 0.110882 14: 0.303732 0.823784 0.0652073 15: 0.726754 0.783897 0.0704152 L2 data interpolation error = 6.56614e-15 Graphics saved as "p13_data.png". Graphics saved as "p13_poly04.png". vandermonde_interp_2d_test01(): Interpolate data from TEST_INTERP_2D problem #13. Create an interpolant of total degree 8. Number of data values needed is 45 X, Y, Z data: 1: 0.627391 0.678957 0.171662 2: 0.680937 0.108686 0.0510555 3: 0.370163 0.540694 0.35071 4: 0.665272 0.979575 0.0374102 5: 0.800365 0.797554 0.052978 6: 0.365847 0.301613 0.148469 7: 0.490041 0.207392 0.104473 8: 0.363813 0.228803 0.097948 9: 0.270954 0.696754 0.0988396 10: 0.391665 0.435727 0.386586 11: 0.588456 0.177975 0.0822877 12: 0.276077 0.613086 0.137117 13: 0.5762 0.0804781 0.0521363 14: 0.536795 0.637558 0.330294 15: 0.948566 0.848072 0.0300873 16: 0.982839 0.723542 0.0341176 17: 0.353944 0.0230423 0.0386367 18: 0.0689276 0.152864 0.0316129 19: 0.194027 0.0668571 0.0343368 20: 0.428222 0.824449 0.0830432 21: 0.107934 0.327945 0.0517281 22: 0.45818 0.596643 0.474186 23: 0.504597 0.942628 0.0485578 24: 0.885047 0.962009 0.0269025 25: 0.169975 0.681602 0.0658345 26: 0.19394 0.967471 0.0310364 27: 0.227925 0.638622 0.0968611 28: 0.656356 0.170399 0.0698891 29: 0.00109743 0.160808 0.0267412 30: 0.925501 0.0994843 0.0284524 31: 0.985858 0.866794 0.0262746 32: 0.560643 0.835731 0.0791181 33: 0.591118 0.967303 0.0422521 34: 0.048342 0.537707 0.0464216 35: 0.613047 0.366419 0.246163 36: 0.64311 0.497313 0.328 37: 0.397572 0.17457 0.0791164 38: 0.780284 0.8245 0.0515838 39: 0.801244 0.439283 0.0957536 40: 0.868242 0.340925 0.0585114 41: 0.312128 0.022505 0.0365902 42: 0.998506 0.609256 0.0369761 43: 0.564269 0.692187 0.195823 44: 0.237313 0.171429 0.0534865 45: 0.290997 0.868941 0.0526872 L2 data interpolation error = 1.90978e-12 Graphics saved as "p13_data.png". Graphics saved as "p13_poly08.png". vandermonde_interp_2d_test(): Normal end of execution. 03-Jul-2023 19:18:20