25-Mar-2019 10:10:31 shepard_interp_1d_test: MATLAB version Test shepard_interp_1d. This test needs the TEST_INTERP library. SHEPARD_BASIS_1D_TEST: SHEPARD_BASIS_1D evaluates the Shepard 1D basis functions. Using power P = 2 The Shepard basis functions: Col: 1 2 3 4 Row 1 : 1 0 0 0 2 : 0.887921 0.0986578 0.010962 0.00245961 3 : 0.481964 0.481964 0.0301227 0.00595017 4 : 0.097897 0.881073 0.0179811 0.0030487 5 : 0 1 0 0 6 : 0.0368852 0.922131 0.0368852 0.00409836 7 : 0.0804268 0.723841 0.18096 0.0147723 8 : 0.0821097 0.447042 0.447042 0.023807 9 : 0.0466321 0.186528 0.746114 0.0207254 10 : 0.0116402 0.0377141 0.942854 0.00779218 11 : 0 0 1 0 12 : 0.00793883 0.019604 0.960598 0.0118592 13 : 0.0240964 0.0542169 0.86747 0.0542169 14 : 0.0395051 0.0824243 0.741818 0.136252 15 : 0.0484157 0.0948948 0.593093 0.263597 16 : 0.0479398 0.0891442 0.431458 0.431458 17 : 0.0386266 0.0686695 0.274678 0.618026 18 : 0.0245585 0.0419965 0.144845 0.7886 19 : 0.011272 0.0186333 0.0570644 0.91303 20 : 0.00271694 0.00435918 0.0121088 0.980815 21 : 0 0 0 1 SHEPARD_VALUE_1D_TEST: SHEPARD_VALUE_1D evaluates a Shepard 1D interpolant. Using power P = 2 Table of interpolant values: 1: 0 -28 2: 0.5 -23.5644 3: 1 -7.9524 4: 1.5 6.41966 5: 2 10 6: 2.5 8.55738 7: 3 5.93188 8: 3.5 2.45174 9: 4 -2.05181 10: 4.5 -6.22928 11: 5 -8 12: 5.5 -5.78983 13: 6 1.71084 14: 6.5 15.8564 15: 7 37.5512 16: 7.5 65.9937 17: 8 97.5279 18: 8.5 126.327 19: 9 147.325 20: 9.5 158.763 21: 10 162 SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using Shepard interpolation with P = 0 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 0.392837 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of Shepard interpolant = 1 Created plot file "p01_data.png". Created plot file "p01_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using Shepard interpolation with P = 1 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of Shepard interpolant = 4.8128 Created plot file "p01_data.png". Created plot file "p01_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using Shepard interpolation with P = 2 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of Shepard interpolant = 3.59344 Created plot file "p01_data.png". Created plot file "p01_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using Shepard interpolation with P = 4 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of Shepard interpolant = 3.36283 Created plot file "p01_data.png". Created plot file "p01_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #1 using Shepard interpolation with P = 8 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 4.000000 2: 1.000000 5.000000 3: 2.000000 6.000000 4: 4.000000 6.000000 5: 5.000000 5.000000 6: 6.000000 3.000000 7: 7.000000 1.000000 8: 8.000000 1.000000 9: 9.000000 1.000000 10: 10.000000 3.000000 11: 11.000000 4.000000 12: 12.000000 4.000000 13: 13.000000 3.000000 14: 14.000000 3.000000 15: 15.000000 4.000000 16: 16.000000 4.000000 17: 17.000000 3.000000 18: 18.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.13553 Normalized length of Shepard interpolant = 3.47367 Created plot file "p01_data.png". Created plot file "p01_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using Shepard interpolation with P = 0 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 2.58162 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of Shepard interpolant = 1 Created plot file "p02_data.png". Created plot file "p02_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using Shepard interpolation with P = 1 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of Shepard interpolant = 5.98166 Created plot file "p02_data.png". Created plot file "p02_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using Shepard interpolation with P = 2 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of Shepard interpolant = 5.44204 Created plot file "p02_data.png". Created plot file "p02_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using Shepard interpolation with P = 4 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of Shepard interpolant = 4.62358 Created plot file "p02_data.png". Created plot file "p02_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #2 using Shepard interpolation with P = 8 Number of data points = 18 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 1.340000 5.000000 3: 5.000000 8.660000 4: 10.000000 10.000000 5: 10.600000 10.400000 6: 10.700000 12.000000 7: 10.705000 28.600000 8: 10.800000 30.200000 9: 11.400000 30.600000 10: 19.600000 30.600000 11: 20.200000 30.200000 12: 20.295000 28.600000 13: 20.300000 12.000000 14: 20.400000 10.400000 15: 21.000000 10.000000 16: 26.000000 8.660000 17: 29.660000 5.000000 18: 31.000000 0.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.66086 Normalized length of Shepard interpolant = 3.57979 Created plot file "p02_data.png". Created plot file "p02_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using Shepard interpolation with P = 0 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 7.87737 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of Shepard interpolant = 1 Created plot file "p03_data.png". Created plot file "p03_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using Shepard interpolation with P = 1 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of Shepard interpolant = 2.41306 Created plot file "p03_data.png". Created plot file "p03_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using Shepard interpolation with P = 2 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of Shepard interpolant = 1.84529 Created plot file "p03_data.png". Created plot file "p03_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using Shepard interpolation with P = 4 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of Shepard interpolant = 1.81905 Created plot file "p03_data.png". Created plot file "p03_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #3 using Shepard interpolation with P = 8 Number of data points = 11 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 2.000000 10.000000 3: 3.000000 10.000000 4: 5.000000 10.000000 5: 6.000000 10.000000 6: 8.000000 10.000000 7: 9.000000 10.500000 8: 11.000000 15.000000 9: 12.000000 50.000000 10: 14.000000 60.000000 11: 15.000000 85.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 1.68472 Normalized length of Shepard interpolant = 1.87204 Created plot file "p03_data.png". Created plot file "p03_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using Shepard interpolation with P = 0 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0.149984 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of Shepard interpolant = 1 Created plot file "p04_data.png". Created plot file "p04_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using Shepard interpolation with P = 1 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of Shepard interpolant = 3.92156 Created plot file "p04_data.png". Created plot file "p04_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using Shepard interpolation with P = 2 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of Shepard interpolant = 3.48948 Created plot file "p04_data.png". Created plot file "p04_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using Shepard interpolation with P = 4 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of Shepard interpolant = 3.54049 Created plot file "p04_data.png". Created plot file "p04_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #4 using Shepard interpolation with P = 8 Number of data points = 8 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.050000 0.700000 3: 0.100000 1.000000 4: 0.200000 1.000000 5: 0.800000 0.300000 6: 0.850000 0.050000 7: 0.900000 0.100000 8: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.25908 Normalized length of Shepard interpolant = 3.69223 Created plot file "p04_data.png". Created plot file "p04_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using Shepard interpolation with P = 0 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0.143324 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of Shepard interpolant = 1 Created plot file "p05_data.png". Created plot file "p05_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using Shepard interpolation with P = 1 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of Shepard interpolant = 4.81294 Created plot file "p05_data.png". Created plot file "p05_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using Shepard interpolation with P = 2 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of Shepard interpolant = 3.58093 Created plot file "p05_data.png". Created plot file "p05_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using Shepard interpolation with P = 4 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of Shepard interpolant = 3.44206 Created plot file "p05_data.png". Created plot file "p05_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #5 using Shepard interpolation with P = 8 Number of data points = 9 Data array: Row: 1 2 Col 1: 0.000000 0.000000 2: 0.100000 0.900000 3: 0.200000 0.950000 4: 0.300000 0.900000 5: 0.400000 0.100000 6: 0.500000 0.050000 7: 0.600000 0.050000 8: 0.800000 0.200000 9: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 3.2218 Normalized length of Shepard interpolant = 3.57007 Created plot file "p05_data.png". Created plot file "p05_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using Shepard interpolation with P = 0 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 0.0530251 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of Shepard interpolant = 1 Created plot file "p06_data.png". Created plot file "p06_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using Shepard interpolation with P = 1 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of Shepard interpolant = 5.91812 Created plot file "p06_data.png". Created plot file "p06_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using Shepard interpolation with P = 2 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of Shepard interpolant = 3.00366 Created plot file "p06_data.png". Created plot file "p06_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using Shepard interpolation with P = 4 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of Shepard interpolant = 2.80798 Created plot file "p06_data.png". Created plot file "p06_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #6 using Shepard interpolation with P = 8 Number of data points = 49 Data array: Row: 1 2 Col 1: 595.000000 0.644000 2: 605.000000 0.622000 3: 615.000000 0.638000 4: 625.000000 0.649000 5: 635.000000 0.652000 6: 645.000000 0.639000 7: 655.000000 0.646000 8: 665.000000 0.657000 9: 675.000000 0.652000 10: 685.000000 0.655000 11: 695.000000 0.644000 12: 705.000000 0.663000 13: 715.000000 0.663000 14: 725.000000 0.668000 15: 735.000000 0.676000 16: 745.000000 0.676000 17: 755.000000 0.686000 18: 765.000000 0.679000 19: 775.000000 0.678000 20: 785.000000 0.683000 21: 795.000000 0.694000 22: 805.000000 0.699000 23: 815.000000 0.710000 24: 825.000000 0.730000 25: 835.000000 0.763000 26: 845.000000 0.812000 27: 855.000000 0.907000 28: 865.000000 1.044000 29: 875.000000 1.336000 30: 885.000000 1.881000 31: 895.000000 2.169000 32: 905.000000 2.075000 33: 915.000000 1.598000 34: 925.000000 1.211000 35: 935.000000 0.916000 36: 945.000000 0.746000 37: 955.000000 0.672000 38: 965.000000 0.627000 39: 975.000000 0.615000 40: 985.000000 0.607000 41: 995.000000 0.606000 42: 1005.000000 0.609000 43: 1015.000000 0.603000 44: 1025.000000 0.601000 45: 1035.000000 0.603000 46: 1045.000000 0.601000 47: 1055.000000 0.611000 48: 1065.000000 0.601000 49: 1075.000000 0.608000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.68209 Normalized length of Shepard interpolant = 2.88659 Created plot file "p06_data.png". Created plot file "p06_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using Shepard interpolation with P = 0 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 0.25 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of Shepard interpolant = 1 Created plot file "p07_data.png". Created plot file "p07_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using Shepard interpolation with P = 1 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of Shepard interpolant = 3.10373 Created plot file "p07_data.png". Created plot file "p07_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using Shepard interpolation with P = 2 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of Shepard interpolant = 2.91001 Created plot file "p07_data.png". Created plot file "p07_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using Shepard interpolation with P = 4 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of Shepard interpolant = 2.84058 Created plot file "p07_data.png". Created plot file "p07_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #7 using Shepard interpolation with P = 8 Number of data points = 4 Data array: Row: 1 2 Col 1: 0.000000 1.000000 2: 1.000000 2.000000 3: 4.000000 2.000000 4: 5.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.63961 Normalized length of Shepard interpolant = 2.87137 Created plot file "p07_data.png". Created plot file "p07_8_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using Shepard interpolation with P = 0 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0.101554 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of Shepard interpolant = 1 Created plot file "p08_data.png". Created plot file "p08_0_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using Shepard interpolation with P = 1 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of Shepard interpolant = 3.26227 Created plot file "p08_data.png". Created plot file "p08_1_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using Shepard interpolation with P = 2 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of Shepard interpolant = 2.48289 Created plot file "p08_data.png". Created plot file "p08_2_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using Shepard interpolation with P = 4 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of Shepard interpolant = 2.60246 Created plot file "p08_data.png". Created plot file "p08_4_shepard.png". SHEPARD_INTERP_1D_TEST01: Interpolate data from TEST_INTERP problem #8 using Shepard interpolation with P = 8 Number of data points = 12 Data array: Row: 1 2 Col 1: -1.000000 1.000000 2: -0.800000 0.640000 3: -0.600000 0.360000 4: -0.400000 0.160000 5: -0.200000 0.040000 6: 0.000000 0.000000 7: 0.200000 0.040000 8: 0.200010 0.050000 9: 0.400000 0.160000 10: 0.600000 0.360000 11: 0.800000 0.640000 12: 1.000000 1.000000 L2 interpolation error averaged per interpolant node = 0 Normalized length of piecewise linear interpolant = 2.31939 Normalized length of Shepard interpolant = 2.75121 Created plot file "p08_data.png". Created plot file "p08_8_shepard.png". SHEPARD_INTERP_1D_TEST02: Plot the Shepard basis functions for TEST_INTERP problem #7 using Shepard interpolation with P = 0 Number of data points = 4 X Data Locations: 1: 0 2: 1 3: 4 4: 5 Created plot file "p07_0_basis.png". SHEPARD_INTERP_1D_TEST02: Plot the Shepard basis functions for TEST_INTERP problem #7 using Shepard interpolation with P = 1 Number of data points = 4 X Data Locations: 1: 0 2: 1 3: 4 4: 5 Created plot file "p07_1_basis.png". SHEPARD_INTERP_1D_TEST02: Plot the Shepard basis functions for TEST_INTERP problem #7 using Shepard interpolation with P = 2 Number of data points = 4 X Data Locations: 1: 0 2: 1 3: 4 4: 5 Created plot file "p07_2_basis.png". SHEPARD_INTERP_1D_TEST02: Plot the Shepard basis functions for TEST_INTERP problem #7 using Shepard interpolation with P = 4 Number of data points = 4 X Data Locations: 1: 0 2: 1 3: 4 4: 5 Created plot file "p07_4_basis.png". SHEPARD_INTERP_1D_TEST02: Plot the Shepard basis functions for TEST_INTERP problem #7 using Shepard interpolation with P = 8 Number of data points = 4 X Data Locations: 1: 0 2: 1 3: 4 4: 5 Created plot file "p07_8_basis.png". shepard_interp_1d_test: Normal end of execution. 25-Mar-2019 10:11:02