07-Jan-2022 22:38:35 lagrange_interp_2d_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test lagrange_interp_2d(). The R8LIB library is needed. This test also needs TEST_INTERP_2D. LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.766421 2: 0 1 0.270337 X, Y, Z interpolation: 1: 0 0 0.766421 2: 0 1 0.270337 RMS data interpolation error = 0 RMS data approximation error = 0.0307159 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.766421 2: 0 0.5 0.481806 3: 0 1 0.270337 X, Y, Z interpolation: 1: 0 0 0.766421 2: 0 0.5 0.481806 3: 0 1 0.270337 RMS data interpolation error = 0 RMS data approximation error = 0.184386 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.766421 2: 0 0.25 0.802583 3: 0 0.75 0.339527 4: 0 1 0.270337 X, Y, Z interpolation: 1: 0 0 0.766421 2: 0 0.25 0.802583 3: 0 0.75 0.339527 4: 0 1 0.270337 RMS data interpolation error = 0 RMS data approximation error = 0.065489 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.0201751 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.00171259 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.111111 2: 0 1 0.222222 X, Y, Z interpolation: 1: 0 0 0.111111 2: 0 1 0.222222 RMS data interpolation error = 0 RMS data approximation error = 0 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.111111 2: 0 0.5 0.222195 3: 0 1 0.222222 X, Y, Z interpolation: 1: 0 0 0.111111 2: 0 0.5 0.222195 3: 0 1 0.222222 RMS data interpolation error = 0 RMS data approximation error = 0.00490804 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.111111 2: 0 0.25 0.219781 3: 0 0.75 0.222222 4: 0 1 0.222222 X, Y, Z interpolation: 1: 0 0 0.111111 2: 0 0.25 0.219781 3: 0 0.75 0.222222 4: 0 1 0.222222 RMS data interpolation error = 0 RMS data approximation error = 0.00143279 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.000930276 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.000109215 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.1875 2: 0 1 0.157058 X, Y, Z interpolation: 1: 0 0 0.1875 2: 0 1 0.157058 RMS data interpolation error = 0 RMS data approximation error = 0.0744715 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.1875 2: 0 0.5 0.0288273 3: 0 1 0.157058 X, Y, Z interpolation: 1: 0 0 0.1875 2: 0 0.5 0.0288273 3: 0 1 0.157058 RMS data interpolation error = 0 RMS data approximation error = 0.031092 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.1875 2: 0 0.25 0.122417 3: 0 0.75 0.0529165 4: 0 1 0.157058 X, Y, Z interpolation: 1: 0 0 0.1875 2: 0 0.25 0.122417 3: 0 0.75 0.0529165 4: 0 1 0.157058 RMS data interpolation error = 0 RMS data approximation error = 0.00994526 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.00418505 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.000105732 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.0265198 2: 0 1 0.0265198 X, Y, Z interpolation: 1: 0 0 0.0265198 2: 0 1 0.0265198 RMS data interpolation error = 0 RMS data approximation error = 0.306813 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.0265198 2: 0 0.5 0.094021 3: 0 1 0.0265198 X, Y, Z interpolation: 1: 0 0 0.0265198 2: 0 0.5 0.094021 3: 0 1 0.0265198 RMS data interpolation error = 0 RMS data approximation error = 0.0236917 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.0265198 2: 0 0.25 0.068519 3: 0 0.75 0.068519 4: 0 1 0.0265198 X, Y, Z interpolation: 1: 0 0 0.0265198 2: 0 0.25 0.068519 3: 0 0.75 0.068519 4: 0 1 0.0265198 RMS data interpolation error = 0 RMS data approximation error = 0.00945138 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.000685056 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 1.53585e-06 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 1.33551e-05 2: 0 1 1.33551e-05 X, Y, Z interpolation: 1: 0 0 1.33551e-05 2: 0 1 1.33551e-05 RMS data interpolation error = 0 RMS data approximation error = 0.33332 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 1.33551e-05 2: 0 0.5 0.00210991 3: 0 1 1.33551e-05 X, Y, Z interpolation: 1: 0 0 1.33551e-05 2: 0 0.5 0.00210991 3: 0 1 1.33551e-05 RMS data interpolation error = 0 RMS data approximation error = 0.0808861 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 1.33551e-05 2: 0 0.25 0.000595126 3: 0 0.75 0.000595126 4: 0 1 1.33551e-05 X, Y, Z interpolation: 1: 0 0 1.33551e-05 2: 0 0.25 0.000595126 3: 0 0.75 0.000595126 4: 0 1 1.33551e-05 RMS data interpolation error = 0 RMS data approximation error = 0.0319109 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.00871518 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.000210653 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.0386311 2: 0 1 0.0386311 X, Y, Z interpolation: 1: 0 0 0.0386311 2: 0 1 0.0386311 RMS data interpolation error = 0 RMS data approximation error = 0.350258 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.0386311 2: 0 0.5 0.234931 3: 0 1 0.0386311 X, Y, Z interpolation: 1: 0 0 0.0386311 2: 0 0.5 0.234931 3: 0 1 0.0386311 RMS data interpolation error = 0 RMS data approximation error = 0.00314374 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.0386311 2: 0 0.25 0.191103 3: 0 0.75 0.191103 4: 0 1 0.0386311 X, Y, Z interpolation: 1: 0 0 0.0386311 2: 0 0.25 0.191103 3: 0 0.75 0.191103 4: 0 1 0.0386311 RMS data interpolation error = 0 RMS data approximation error = 0.00173866 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 8.36377e-05 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 3.56374e-07 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0 2: 0 1 -1.08804 X, Y, Z interpolation: 1: 0 0 0 2: 0 1 -1.08804 RMS data interpolation error = 0 RMS data approximation error = 0.234231 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0 2: 0 0.5 -1.91785 3: 0 1 -1.08804 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.5 -1.91785 3: 0 1 -1.08804 RMS data interpolation error = 0 RMS data approximation error = 0.26276 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0 2: 0 0.25 1.19694 3: 0 0.75 1.876 4: 0 1 -1.08804 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.25 1.19694 3: 0 0.75 1.876 4: 0 1 -1.08804 RMS data interpolation error = 0 RMS data approximation error = 0.22209 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.15835 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.00256233 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 6.52165e-06 2: 0 1 6.52165e-06 X, Y, Z interpolation: 1: 0 0 6.52165e-06 2: 0 1 6.52165e-06 RMS data interpolation error = 0 RMS data approximation error = 2.49999 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 6.52165e-06 2: 0 0.5 0.750007 3: 0 1 6.52165e-06 X, Y, Z interpolation: 1: 0 0 6.52165e-06 2: 0 0.5 0.750007 3: 0 1 6.52165e-06 RMS data interpolation error = 0 RMS data approximation error = 0.82802 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 6.52165e-06 2: 0 0.25 0.0329565 3: 0 0.75 0.0329565 4: 0 1 6.52165e-06 X, Y, Z interpolation: 1: 0 0 6.52165e-06 2: 0 0.25 0.0329565 3: 0 0.75 0.0329565 4: 0 1 6.52165e-06 RMS data interpolation error = 0 RMS data approximation error = 0.321494 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.142802 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.0123551 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.0996532 2: 0 1 -0.189352 X, Y, Z interpolation: 1: 0 0 0.0996532 2: 0 1 -0.189352 RMS data interpolation error = 0 RMS data approximation error = 0.0201845 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.0996532 2: 0 0.5 0 3: 0 1 -0.189352 X, Y, Z interpolation: 1: 0 0 0.0996532 2: 0 0.5 0 3: 0 1 -0.189352 RMS data interpolation error = 0 RMS data approximation error = 15.391 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.0996532 2: 0 0.25 1.32058 3: 0 0.75 -2.09804 4: 0 1 -0.189352 X, Y, Z interpolation: 1: 0 0 0.0996532 2: 0 0.25 1.32058 3: 0 0.75 -2.09804 4: 0 1 -0.189352 RMS data interpolation error = 0 RMS data approximation error = 4.94687 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 7.09178 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.682591 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 -0.0830877 2: 0 1 -0.0830877 X, Y, Z interpolation: 1: 0 0 -0.0830877 2: 0 1 -0.0830877 RMS data interpolation error = 0 RMS data approximation error = 1.08309 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 -0.0830877 2: 0 0.5 0.193855 3: 0 1 -0.0830877 X, Y, Z interpolation: 1: 0 0 -0.0830877 2: 0 0.5 0.193855 3: 0 1 -0.0830877 RMS data interpolation error = 0 RMS data approximation error = 0.339989 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 -0.0830877 2: 0 0.25 0.131554 3: 0 0.75 0.131554 4: 0 1 -0.0830877 X, Y, Z interpolation: 1: 0 0 -0.0830877 2: 0 0.25 0.131554 3: 0 0.75 0.131554 4: 0 1 -0.0830877 RMS data interpolation error = 0 RMS data approximation error = 0.138405 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.110323 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.00999769 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0 2: 0 1 0 X, Y, Z interpolation: 1: 0 0 0 2: 0 1 0 RMS data interpolation error = 0 RMS data approximation error = 0 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0 2: 0 0.5 0 3: 0 1 0 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.5 0 3: 0 1 0 RMS data interpolation error = 0 RMS data approximation error = 0 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0 2: 0 0.25 0 3: 0 0.75 0 4: 0 1 0 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.25 0 3: 0 0.75 0 4: 0 1 0 RMS data interpolation error = 0 RMS data approximation error = 4.53247e-17 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 4.19394e-17 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 4.70758e-17 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0 2: 0 1 0.688241 X, Y, Z interpolation: 1: 0 0 0 2: 0 1 0.688241 RMS data interpolation error = 0 RMS data approximation error = 0.179861 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0 2: 0 0.5 0.748896 3: 0 1 0.688241 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.5 0.748896 3: 0 1 0.688241 RMS data interpolation error = 0 RMS data approximation error = 0.141766 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0 2: 0 0.25 0.721902 3: 0 0.75 0.44832 4: 0 1 0.688241 X, Y, Z interpolation: 1: 0 0 0 2: 0 0.25 0.721902 3: 0 0.75 0.44832 4: 0 1 0.688241 RMS data interpolation error = 0 RMS data approximation error = 0.0161854 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.00619069 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.00015455 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 1x1 Number of data points = 4 X, Y, Z data: 1: 0 0 0.0196078 2: 0 1 0.0196078 X, Y, Z interpolation: 1: 0 0 0.0196078 2: 0 1 0.0196078 RMS data interpolation error = 0 RMS data approximation error = 0.980392 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 2x2 Number of data points = 9 X, Y, Z data: 1: 0 0 0.0196078 2: 0 0.5 0.0384615 3: 0 1 0.0196078 X, Y, Z interpolation: 1: 0 0 0.0196078 2: 0 0.5 0.0384615 3: 0 1 0.0196078 RMS data interpolation error = 0 RMS data approximation error = 0.252037 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 3x3 Number of data points = 16 X, Y, Z data: 1: 0 0 0.0196078 2: 0 0.25 0.0310078 3: 0 0.75 0.0310078 4: 0 1 0.0196078 X, Y, Z interpolation: 1: 0 0 0.0196078 2: 0 0.25 0.0310078 3: 0 0.75 0.0310078 4: 0 1 0.0196078 RMS data interpolation error = 0 RMS data approximation error = 0.0993214 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 4x4 Number of data points = 25 RMS data interpolation error = 0 RMS data approximation error = 0.0437172 LAGRANGE_INTERP_2D_TEST01: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 8x8 Number of data points = 81 RMS data interpolation error = 0 RMS data approximation error = 0.00690114 LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p01_data.png". Created plot file "p01_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p01_data.png". Created plot file "p01_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p01_data.png". Created plot file "p01_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p01_data.png". Created plot file "p01_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #1. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p01_data.png". Created plot file "p01_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p02_data.png". Created plot file "p02_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p02_data.png". Created plot file "p02_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p02_data.png". Created plot file "p02_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p02_data.png". Created plot file "p02_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #2. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p02_data.png". Created plot file "p02_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p03_data.png". Created plot file "p03_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p03_data.png". Created plot file "p03_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p03_data.png". Created plot file "p03_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p03_data.png". Created plot file "p03_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #3. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p03_data.png". Created plot file "p03_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p04_data.png". Created plot file "p04_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p04_data.png". Created plot file "p04_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p04_data.png". Created plot file "p04_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p04_data.png". Created plot file "p04_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #4. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p04_data.png". Created plot file "p04_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p05_data.png". Created plot file "p05_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p05_data.png". Created plot file "p05_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p05_data.png". Created plot file "p05_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p05_data.png". Created plot file "p05_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #5. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p05_data.png". Created plot file "p05_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p06_data.png". Created plot file "p06_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p06_data.png". Created plot file "p06_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p06_data.png". Created plot file "p06_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p06_data.png". Created plot file "p06_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #6. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p06_data.png". Created plot file "p06_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p07_data.png". Created plot file "p07_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p07_data.png". Created plot file "p07_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p07_data.png". Created plot file "p07_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p07_data.png". Created plot file "p07_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #7. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p07_data.png". Created plot file "p07_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p08_data.png". Created plot file "p08_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p08_data.png". Created plot file "p08_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p08_data.png". Created plot file "p08_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p08_data.png". Created plot file "p08_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #8. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p08_data.png". Created plot file "p08_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p09_data.png". Created plot file "p09_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p09_data.png". Created plot file "p09_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p09_data.png". Created plot file "p09_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p09_data.png". Created plot file "p09_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #9. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p09_data.png". Created plot file "p09_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p10_data.png". Created plot file "p10_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p10_data.png". Created plot file "p10_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p10_data.png". Created plot file "p10_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p10_data.png". Created plot file "p10_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #10. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p10_data.png". Created plot file "p10_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p11_data.png". Created plot file "p11_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p11_data.png". Created plot file "p11_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p11_data.png". Created plot file "p11_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p11_data.png". Created plot file "p11_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #11. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p11_data.png". Created plot file "p11_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p12_data.png". Created plot file "p12_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p12_data.png". Created plot file "p12_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p12_data.png". Created plot file "p12_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p12_data.png". Created plot file "p12_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #12. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p12_data.png". Created plot file "p12_poly08.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 1x1 Plot the results. Number of data points = 4 Created plot file "p13_data.png". Created plot file "p13_poly01.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 2x2 Plot the results. Number of data points = 9 Created plot file "p13_data.png". Created plot file "p13_poly02.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 3x3 Plot the results. Number of data points = 16 Created plot file "p13_data.png". Created plot file "p13_poly03.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 4x4 Plot the results. Number of data points = 25 Created plot file "p13_data.png". Created plot file "p13_poly04.png". LAGRANGE_INTERP_2D_TEST02: Interpolate data from TEST_INTERP_2D problem #13. Using polynomial interpolant of product degree 8x8 Plot the results. Number of data points = 81 Created plot file "p13_data.png". Created plot file "p13_poly08.png". lagrange_interp_2d_test(): Normal end of execution. 07-Jan-2022 22:39:18