22 April 2020 12:10:29 PM TEST_INTERP_TEST C++ version Test the TEST_INTERP library. This test also requires the R8LIB library. TEST01 P00_STORY prints the problem "story". Problem 1 This example is due to Hans-Joerg Wenz. It is an example of good data, which is dense enough in areas where the expected curvature of the interpolant is large. Good results can be expected with almost any reasonable interpolation method. Problem 2 This example is due to ETY Lee of Boeing. Data near the corners is more dense than in regions of small curvature. A local interpolation method will produce a more plausible interpolant than a nonlocal interpolation method, such as cubic splines. Problem 3 This example is due to Fred Fritsch and Ralph Carlson. This data can cause problems for interpolation methods. There are sudden changes in direction, and at the same time, sparsely-placed data. This can cause an interpolant to overshoot the data in a way that seems implausible. Problem 4 This example is due to Larry Irvine, Samuel Marin and Philip Smith. This data can cause problems for interpolation methods. There are sudden changes in direction, and at the same time, sparsely-placed data. This can cause an interpolant to overshoot the data in a way that seems implausible. Problem 5 This example is due to Larry Irvine, Samuel Marin and Philip Smith. This data can cause problems for interpolation methods. There are sudden changes in direction, and at the same time, sparsely-placed data. This can cause an interpolant to overshoot the data in a way that seems implausible. Problem 6 The data is due to deBoor and Rice. The data represents a temperature dependent property of titanium. The data has been used extensively as an example in spline approximation with variably-spaced knots. DeBoor considers two sets of knots: (595,675,755,835,915,995,1075) and (595,725,850,910,975,1040,1075). Problem 7 This data is a simple symmetric set of 4 points, for which it is interesting to develop the Shepard interpolants for varying values of the exponent p. Problem 8 This is equally spaced data for y = x^2, except for one extra point whose x value is close to another, but whose y value is not so close. A small disagreement in nearby data can be disaster. TEST02 P00_DATA_NUM returns N, the number of data points. P00_DIM_NUM returns M, the dimension of data. P00_DATA returns the actual (MxN) data. Problem 1 DATA_NUM 18 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 4 1: 1 5 2: 2 6 3: 4 6 4: 5 5 5: 6 3 6: 7 1 7: 8 1 8: 9 1 9: 10 3 10: 11 4 11: 12 4 12: 13 3 13: 14 3 14: 15 4 15: 16 4 16: 17 3 17: 18 0 Problem 2 DATA_NUM 18 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 0 1: 1.34 5 2: 5 8.66 3: 10 10 4: 10.6 10.4 5: 10.7 12 6: 10.705 28.6 7: 10.8 30.2 8: 11.4 30.6 9: 19.6 30.6 10: 20.2 30.2 11: 20.295 28.6 12: 20.3 12 13: 20.4 10.4 14: 21 10 15: 26 8.66 16: 29.66 5 17: 31 0 Problem 3 DATA_NUM 11 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 0 1: 2 10 2: 3 10 3: 5 10 4: 6 10 5: 8 10 6: 9 10.5 7: 11 15 8: 12 50 9: 14 60 10: 15 85 Problem 4 DATA_NUM 8 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 0 1: 0.05 0.7 2: 0.1 1 3: 0.2 1 4: 0.8 0.3 5: 0.85 0.05 6: 0.9 0.1 7: 1 1 Problem 5 DATA_NUM 9 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 0 1: 0.1 0.9 2: 0.2 0.95 3: 0.3 0.9 4: 0.4 0.1 5: 0.5 0.05 6: 0.6 0.05 7: 0.8 0.2 8: 1 1 Problem 6 DATA_NUM 49 DIM_NUM 2 Data array: Row: 0 1 Col 0: 595 0.644 1: 605 0.622 2: 615 0.638 3: 625 0.649 4: 635 0.652 5: 645 0.639 6: 655 0.646 7: 665 0.657 8: 675 0.652 9: 685 0.655 10: 695 0.644 11: 705 0.663 12: 715 0.663 13: 725 0.668 14: 735 0.676 15: 745 0.676 16: 755 0.686 17: 765 0.679 18: 775 0.678 19: 785 0.683 20: 795 0.694 21: 805 0.699 22: 815 0.71 23: 825 0.73 24: 835 0.763 25: 845 0.812 26: 855 0.907 27: 865 1.044 28: 875 1.336 29: 885 1.881 30: 895 2.169 31: 905 2.075 32: 915 1.598 33: 925 1.211 34: 935 0.916 35: 945 0.746 36: 955 0.672 37: 965 0.627 38: 975 0.615 39: 985 0.607 40: 995 0.606 41: 1005 0.609 42: 1015 0.603 43: 1025 0.601 44: 1035 0.603 45: 1045 0.601 46: 1055 0.611 47: 1065 0.601 48: 1075 0.608 Problem 7 DATA_NUM 4 DIM_NUM 2 Data array: Row: 0 1 Col 0: 0 1 1: 1 2 2: 4 2 3: 5 1 Problem 8 DATA_NUM 12 DIM_NUM 2 Data array: Row: 0 1 Col 0: -1 1 1: -0.8 0.64 2: -0.6 0.36 3: -0.4 0.16 4: -0.2 0.04 5: 0 0 6: 0.2 0.04 7: 0.20001 0.05 8: 0.4 0.16 9: 0.6 0.36 10: 0.8 0.64 11: 1 1 TEST_INTERP_TEST Normal end of execution. 22 April 2020 12:10:29 PM