08-Jan-2022 10:44:45 truncated_normal_sparse_grid_test(): MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2 Test truncated_normal_sparse_grid(). TNO_ORDER_TEST: TNO_ORDER is given a level L, and returns the order N of a Truncated Normal Odd (TNO) quadrature rule. Level Order 1 1 2 3 3 3 4 5 5 5 6 7 7 7 8 9 9 9 10 11 11 11 12 13 13 13 14 15 15 15 16 17 17 17 18 19 19 19 20 21 TNO_TEST: TNO is given a level L, and returns points and weights of a Truncated Normal Odd (TNO) quadrature rule. Level L = 5 Order N = 5 TN - Generating TN rule of order 5. Points and weights: 1: -0.89845 0.0987714 2: -0.521317 0.242237 3: 7.31663e-17 0.317984 4: 0.521317 0.242237 5: 0.89845 0.0987714 TNO_PERSISTENCE_TEST: TNO is given a level L, and returns points and weights of a Truncated Normal Odd (TNO) quadrature rule. The first time TNO is called for a particular order N it must compute the corresponding rule. It prints a message, and saves the data in persistent arrays. To verify this, compute a sequence of levels L for which the values of N repeat. The message should only show up once for each value of N. L = 1, N = 1 TN - Generating TN rule of order 1. L = 2, N = 3 TN - Generating TN rule of order 3. L = 3, N = 3 L = 4, N = 5 L = 5, N = 5 L = 6, N = 7 TN - Generating TN rule of order 7. TNO_SPARSE_GRID_TEST: Use NWSPGR to generate a sparse grid in 2D based on the Truncated Normal Odd (TNO) family. TNO sparse grid, Dim 2, Level 1 1 1 0 0 TNO sparse grid, Dim 2, Level 2 1 0.2576098038951919 -0.7516984074121438 0 2 0.484780392209616 -1.465841337200402e-16 0 3 0.2576098038951919 0 -0.7516984074121438 4 0.484780392209616 0 -1.465841337200402e-16 5 -0.9999999999999993 0 0 6 0.2576098038951918 0 0.7516984074121438 7 0.2576098038951918 0.7516984074121438 0 TNO sparse grid, Dim 2, Level 3 1 0.06636281106291926 -0.7516984074121438 -0.7516984074121438 2 0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 3 0 -0.7516984074121438 0 4 0.06636281106291923 -0.7516984074121438 0.7516984074121438 5 0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 6 0.2350120286709093 -1.465841337200402e-16 -1.465841337200402e-16 7 0 -1.465841337200402e-16 0 8 0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 9 0 0 -0.7516984074121438 10 0 0 -1.465841337200402e-16 11 0 0 0.7516984074121438 12 0.06636281106291923 0.7516984074121438 -0.7516984074121438 13 0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 14 0 0.7516984074121438 0 15 0.06636281106291921 0.7516984074121438 0.7516984074121438 TNO sparse grid, Dim 2, Level 4 1 0.09877141338753155 -0.8984499284579618 0 2 0.06636281106291921 -0.7516984074121438 -0.7516984074121438 3 0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 4 -0.2576098038951917 -0.7516984074121438 0 5 0.06636281106291918 -0.7516984074121438 0.7516984074121438 6 0.2422365795893657 -0.521317286312556 0 7 0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 8 0.2350120286709091 -1.465841337200402e-16 -1.465841337200402e-16 9 -0.4847803922096156 -1.465841337200402e-16 0 10 0.1248841817693533 -1.465841337200402e-16 0.7516984074121438 11 0.09877141338753155 0 -0.8984499284579618 12 -0.2576098038951917 0 -0.7516984074121438 13 0.2422365795893657 0 -0.521317286312556 14 -0.4847803922096156 0 -1.465841337200402e-16 15 0.3179840140462046 0 7.316629614370182e-17 16 0.2422365795893658 0 0.5213172863125559 17 -0.2576098038951916 0 0.7516984074121438 18 0.09877141338753148 0 0.898449928457962 19 0.3179840140462046 7.316629614370182e-17 0 20 0.2422365795893658 0.5213172863125559 0 21 0.06636281106291918 0.7516984074121438 -0.7516984074121438 22 0.1248841817693533 0.7516984074121438 -1.465841337200402e-16 23 -0.2576098038951916 0.7516984074121438 0 24 0.06636281106291915 0.7516984074121438 0.7516984074121438 25 0.09877141338753148 0.898449928457962 0 TNO sparse grid, Dim 2, Level 5 1 0.02544448443321295 -0.8984499284579618 -0.7516984074121438 2 0.0478824445211057 -0.8984499284579618 -1.465841337200402e-16 3 0 -0.8984499284579618 0 4 0.02544448443321294 -0.8984499284579618 0.7516984074121438 5 0.02544448443321295 -0.7516984074121438 -0.8984499284579618 6 -0.06636281106291922 -0.7516984074121438 -0.7516984074121438 7 0.0624025177642586 -0.7516984074121438 -0.521317286312556 8 -0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 9 0.08191579950024877 -0.7516984074121438 7.316629614370182e-17 10 0.06240251776425861 -0.7516984074121438 0.5213172863125559 11 -0.06636281106291919 -0.7516984074121438 0.7516984074121438 12 0.02544448443321294 -0.7516984074121438 0.898449928457962 13 0.0624025177642586 -0.521317286312556 -0.7516984074121438 14 0.1174315440608487 -0.521317286312556 -1.465841337200402e-16 15 0 -0.521317286312556 0 16 0.06240251776425857 -0.521317286312556 0.7516984074121438 17 0.0478824445211057 -1.465841337200402e-16 -0.8984499284579618 18 -0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 19 0.1174315440608487 -1.465841337200402e-16 -0.521317286312556 20 -0.2350120286709091 -1.465841337200402e-16 -1.465841337200402e-16 21 0.1541524150457073 -1.465841337200402e-16 7.316629614370182e-17 22 0.1174315440608487 -1.465841337200402e-16 0.5213172863125559 23 -0.1248841817693533 -1.465841337200402e-16 0.7516984074121438 24 0.04788244452110567 -1.465841337200402e-16 0.898449928457962 25 0 0 -0.8984499284579618 26 0 0 -0.521317286312556 27 0 0 7.316629614370182e-17 28 0 0 0.5213172863125559 29 0 0 0.898449928457962 30 0.08191579950024877 7.316629614370182e-17 -0.7516984074121438 31 0.1541524150457073 7.316629614370182e-17 -1.465841337200402e-16 32 0 7.316629614370182e-17 0 33 0.08191579950024874 7.316629614370182e-17 0.7516984074121438 34 0.06240251776425861 0.5213172863125559 -0.7516984074121438 35 0.1174315440608487 0.5213172863125559 -1.465841337200402e-16 36 0 0.5213172863125559 0 37 0.06240251776425858 0.5213172863125559 0.7516984074121438 38 0.02544448443321294 0.7516984074121438 -0.8984499284579618 39 -0.06636281106291919 0.7516984074121438 -0.7516984074121438 40 0.06240251776425857 0.7516984074121438 -0.521317286312556 41 -0.1248841817693533 0.7516984074121438 -1.465841337200402e-16 42 0.08191579950024874 0.7516984074121438 7.316629614370182e-17 43 0.06240251776425858 0.7516984074121438 0.5213172863125559 44 -0.06636281106291916 0.7516984074121438 0.7516984074121438 45 0.02544448443321293 0.7516984074121438 0.898449928457962 46 0.02544448443321294 0.898449928457962 -0.7516984074121438 47 0.04788244452110567 0.898449928457962 -1.465841337200402e-16 48 0 0.898449928457962 0 49 0.02544448443321293 0.898449928457962 0.7516984074121438 TNO sparse grid, Dim 2, Level 6 1 0.05120922616144932 -0.9458406558946999 0 2 0.02544448443321299 -0.8984499284579618 -0.7516984074121438 3 0.04788244452110577 -0.8984499284579618 -1.465841337200402e-16 4 -0.0987714133875317 -0.8984499284579618 0 5 0.02544448443321298 -0.8984499284579618 0.7516984074121438 6 0.02544448443321299 -0.7516984074121438 -0.8984499284579618 7 -0.0663628110629193 -0.7516984074121438 -0.7516984074121438 8 0.06240251776425868 -0.7516984074121438 -0.521317286312556 9 -0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 10 0.08191579950024888 -0.7516984074121438 7.316629614370182e-17 11 0.0624025177642587 -0.7516984074121438 0.5213172863125559 12 -0.06636281106291927 -0.7516984074121438 0.7516984074121438 13 0.02544448443321297 -0.7516984074121438 0.898449928457962 14 0.1277556497685101 -0.7302915927779282 0 15 0.06240251776425868 -0.521317286312556 -0.7516984074121438 16 0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 17 -0.2422365795893661 -0.521317286312556 0 18 0.06240251776425865 -0.521317286312556 0.7516984074121438 19 0.2028471683540211 -0.3947841138633818 0 20 0.2363759114320387 -1.631372488456608e-16 0 21 0.04788244452110577 -1.465841337200402e-16 -0.8984499284579618 22 -0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 23 0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 24 -0.2350120286709094 -1.465841337200402e-16 -1.465841337200402e-16 25 0.1541524150457075 -1.465841337200402e-16 7.316629614370182e-17 26 0.1174315440608489 -1.465841337200402e-16 0.5213172863125559 27 -0.1248841817693535 -1.465841337200402e-16 0.7516984074121438 28 0.04788244452110573 -1.465841337200402e-16 0.898449928457962 29 0.05120922616144932 0 -0.9458406558946999 30 -0.0987714133875317 0 -0.8984499284579618 31 0.1277556497685101 0 -0.7302915927779282 32 -0.2422365795893661 0 -0.521317286312556 33 0.2028471683540211 0 -0.3947841138633818 34 0.2363759114320387 0 -1.631372488456608e-16 35 -0.3179840140462051 0 7.316629614370182e-17 36 0.2028471683540213 0 0.394784113863382 37 -0.2422365795893661 0 0.5213172863125559 38 0.1277556497685099 0 0.7302915927779281 39 -0.09877141338753163 0 0.898449928457962 40 0.05120922616144952 0 0.9458406558947 41 0.08191579950024888 7.316629614370182e-17 -0.7516984074121438 42 0.1541524150457075 7.316629614370182e-17 -1.465841337200402e-16 43 -0.3179840140462051 7.316629614370182e-17 0 44 0.08191579950024885 7.316629614370182e-17 0.7516984074121438 45 0.2028471683540213 0.394784113863382 0 46 0.0624025177642587 0.5213172863125559 -0.7516984074121438 47 0.1174315440608489 0.5213172863125559 -1.465841337200402e-16 48 -0.2422365795893661 0.5213172863125559 0 49 0.06240251776425867 0.5213172863125559 0.7516984074121438 50 0.1277556497685099 0.7302915927779281 0 51 0.02544448443321298 0.7516984074121438 -0.8984499284579618 52 -0.06636281106291927 0.7516984074121438 -0.7516984074121438 53 0.06240251776425865 0.7516984074121438 -0.521317286312556 54 -0.1248841817693535 0.7516984074121438 -1.465841337200402e-16 55 0.08191579950024885 0.7516984074121438 7.316629614370182e-17 56 0.06240251776425867 0.7516984074121438 0.5213172863125559 57 -0.06636281106291925 0.7516984074121438 0.7516984074121438 58 0.02544448443321296 0.7516984074121438 0.898449928457962 59 0.02544448443321297 0.898449928457962 -0.7516984074121438 60 0.04788244452110573 0.898449928457962 -1.465841337200402e-16 61 -0.09877141338753163 0.898449928457962 0 62 0.02544448443321296 0.898449928457962 0.7516984074121438 63 0.05120922616144952 0.9458406558947 0 TNO sparse grid, Dim 2, Level 7 1 0.01319199870907549 -0.9458406558946999 -0.7516984074121438 2 0.02482522874329834 -0.9458406558946999 -1.465841337200402e-16 3 0 -0.9458406558946999 0 4 0.01319199870907549 -0.9458406558946999 0.7516984074121438 5 0.009755792102570675 -0.8984499284579618 -0.8984499284579618 6 -0.02544448443321298 -0.8984499284579618 -0.7516984074121438 7 0.023926049340203 -0.8984499284579618 -0.521317286312556 8 -0.04788244452110575 -0.8984499284579618 -1.465841337200402e-16 9 0.0314077305019844 -0.8984499284579618 7.316629614370182e-17 10 0.023926049340203 -0.8984499284579618 0.5213172863125559 11 -0.02544448443321297 -0.8984499284579618 0.7516984074121438 12 0.009755792102570668 -0.8984499284579618 0.898449928457962 13 0.01319199870907549 -0.7516984074121438 -0.9458406558946999 14 -0.02544448443321298 -0.7516984074121438 -0.8984499284579618 15 0.03291110788336871 -0.7516984074121438 -0.7302915927779282 16 -0.06240251776425867 -0.7516984074121438 -0.521317286312556 17 0.05225541926037437 -0.7516984074121438 -0.3947841138633818 18 0.06089275218955476 -0.7516984074121438 -1.631372488456608e-16 19 -0.08191579950024887 -0.7516984074121438 7.316629614370182e-17 20 0.05225541926037443 -0.7516984074121438 0.394784113863382 21 -0.06240251776425868 -0.7516984074121438 0.5213172863125559 22 0.03291110788336868 -0.7516984074121438 0.7302915927779281 23 -0.02544448443321297 -0.7516984074121438 0.898449928457962 24 0.01319199870907554 -0.7516984074121438 0.9458406558947 25 0.03291110788336871 -0.7302915927779282 -0.7516984074121438 26 0.06193343400177269 -0.7302915927779282 -1.465841337200402e-16 27 0 -0.7302915927779282 0 28 0.0329111078833687 -0.7302915927779282 0.7516984074121438 29 0.023926049340203 -0.521317286312556 -0.8984499284579618 30 -0.06240251776425867 -0.521317286312556 -0.7516984074121438 31 0.05867856049115528 -0.521317286312556 -0.521317286312556 32 -0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 33 0.07702735992664965 -0.521317286312556 7.316629614370182e-17 34 0.05867856049115529 -0.521317286312556 0.5213172863125559 35 -0.06240251776425864 -0.521317286312556 0.7516984074121438 36 0.02392604934020298 -0.521317286312556 0.898449928457962 37 0.05225541926037437 -0.3947841138633818 -0.7516984074121438 38 0.0983363298332724 -0.3947841138633818 -1.465841337200402e-16 39 0 -0.3947841138633818 0 40 0.05225541926037435 -0.3947841138633818 0.7516984074121438 41 0.06089275218955476 -1.631372488456608e-16 -0.7516984074121438 42 0.1145904070529292 -1.631372488456608e-16 -1.465841337200402e-16 43 0 -1.631372488456608e-16 0 44 0.06089275218955473 -1.631372488456608e-16 0.7516984074121438 45 0.02482522874329834 -1.465841337200402e-16 -0.9458406558946999 46 -0.04788244452110575 -1.465841337200402e-16 -0.8984499284579618 47 0.06193343400177269 -1.465841337200402e-16 -0.7302915927779282 48 -0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 49 0.0983363298332724 -1.465841337200402e-16 -0.3947841138633818 50 0.1145904070529292 -1.465841337200402e-16 -1.631372488456608e-16 51 -0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 52 0.09833632983327251 -1.465841337200402e-16 0.394784113863382 53 -0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 54 0.06193343400177262 -1.465841337200402e-16 0.7302915927779281 55 -0.04788244452110572 -1.465841337200402e-16 0.898449928457962 56 0.02482522874329843 -1.465841337200402e-16 0.9458406558947 57 0 0 -0.9458406558946999 58 0 0 -0.7302915927779282 59 0 0 -0.3947841138633818 60 0 0 -1.631372488456608e-16 61 0 0 0.394784113863382 62 0 0 0.7302915927779281 63 0 0 0.9458406558947 64 0.0314077305019844 7.316629614370182e-17 -0.8984499284579618 65 -0.08191579950024887 7.316629614370182e-17 -0.7516984074121438 66 0.07702735992664965 7.316629614370182e-17 -0.521317286312556 67 -0.1541524150457074 7.316629614370182e-17 -1.465841337200402e-16 68 0.1011138331889371 7.316629614370182e-17 7.316629614370182e-17 69 0.07702735992664966 7.316629614370182e-17 0.5213172863125559 70 -0.08191579950024884 7.316629614370182e-17 0.7516984074121438 71 0.03140773050198438 7.316629614370182e-17 0.898449928457962 72 0.05225541926037443 0.394784113863382 -0.7516984074121438 73 0.09833632983327251 0.394784113863382 -1.465841337200402e-16 74 0 0.394784113863382 0 75 0.05225541926037441 0.394784113863382 0.7516984074121438 76 0.023926049340203 0.5213172863125559 -0.8984499284579618 77 -0.06240251776425868 0.5213172863125559 -0.7516984074121438 78 0.05867856049115529 0.5213172863125559 -0.521317286312556 79 -0.1174315440608488 0.5213172863125559 -1.465841337200402e-16 80 0.07702735992664966 0.5213172863125559 7.316629614370182e-17 81 0.05867856049115531 0.5213172863125559 0.5213172863125559 82 -0.06240251776425865 0.5213172863125559 0.7516984074121438 83 0.02392604934020299 0.5213172863125559 0.898449928457962 84 0.03291110788336868 0.7302915927779281 -0.7516984074121438 85 0.06193343400177262 0.7302915927779281 -1.465841337200402e-16 86 0 0.7302915927779281 0 87 0.03291110788336866 0.7302915927779281 0.7516984074121438 88 0.01319199870907549 0.7516984074121438 -0.9458406558946999 89 -0.02544448443321297 0.7516984074121438 -0.8984499284579618 90 0.0329111078833687 0.7516984074121438 -0.7302915927779282 91 -0.06240251776425864 0.7516984074121438 -0.521317286312556 92 0.05225541926037435 0.7516984074121438 -0.3947841138633818 93 0.06089275218955473 0.7516984074121438 -1.631372488456608e-16 94 -0.08191579950024884 0.7516984074121438 7.316629614370182e-17 95 0.05225541926037441 0.7516984074121438 0.394784113863382 96 -0.06240251776425865 0.7516984074121438 0.5213172863125559 97 0.03291110788336866 0.7516984074121438 0.7302915927779281 98 -0.02544448443321295 0.7516984074121438 0.898449928457962 99 0.01319199870907554 0.7516984074121438 0.9458406558947 100 0.009755792102570668 0.898449928457962 -0.8984499284579618 101 -0.02544448443321297 0.898449928457962 -0.7516984074121438 102 0.02392604934020298 0.898449928457962 -0.521317286312556 103 -0.04788244452110572 0.898449928457962 -1.465841337200402e-16 104 0.03140773050198438 0.898449928457962 7.316629614370182e-17 105 0.02392604934020299 0.898449928457962 0.5213172863125559 106 -0.02544448443321295 0.898449928457962 0.7516984074121438 107 0.009755792102570661 0.898449928457962 0.898449928457962 108 0.01319199870907554 0.9458406558947 -0.7516984074121438 109 0.02482522874329843 0.9458406558947 -1.465841337200402e-16 110 0 0.9458406558947 0 111 0.01319199870907554 0.9458406558947 0.7516984074121438 TNO_SPARSE_GRID_SIZE_TEST: NWSPGR_SIZE returns the size of a sparse grid formed from 1D quadrature rules. Our 1D rules will be the Truncated Normal Odd (TNO) family. Dimension / Level table for TNO Family Dim: 1 2 3 4 5 6 7 8 9 10 Level: 1: 1 1 1 1 1 1 1 1 1 1 2: 3 7 10 13 16 19 22 25 28 31 3: 3 15 37 67 106 154 211 277 352 436 4: 5 25 78 195 401 724 1191 1829 2665 3726 5: 5 49 168 455 1106 2389 4656 8339 13951 22086 6: 7 63 315 1023 2733 6589 14533 29563 55972 99592 TNO_SPARSE_GRID_TEST: Use NWSPGR to generate a sparse grid in 2D based on the Truncated Normal Odd (TNO) family. TNO sparse grid, Dim 2, Level 1 1 1 0 0 TNO sparse grid, Dim 2, Level 2 1 0.2576098038951919 -0.7516984074121438 0 2 0.484780392209616 -1.465841337200402e-16 0 3 0.2576098038951919 0 -0.7516984074121438 4 0.484780392209616 0 -1.465841337200402e-16 5 -0.9999999999999993 0 0 6 0.2576098038951918 0 0.7516984074121438 7 0.2576098038951918 0.7516984074121438 0 TNO sparse grid, Dim 2, Level 3 1 0.06636281106291926 -0.7516984074121438 -0.7516984074121438 2 0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 3 0 -0.7516984074121438 0 4 0.06636281106291923 -0.7516984074121438 0.7516984074121438 5 0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 6 0.2350120286709093 -1.465841337200402e-16 -1.465841337200402e-16 7 0 -1.465841337200402e-16 0 8 0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 9 0 0 -0.7516984074121438 10 0 0 -1.465841337200402e-16 11 0 0 0.7516984074121438 12 0.06636281106291923 0.7516984074121438 -0.7516984074121438 13 0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 14 0 0.7516984074121438 0 15 0.06636281106291921 0.7516984074121438 0.7516984074121438 TNO sparse grid, Dim 2, Level 4 1 0.09877141338753155 -0.8984499284579618 0 2 0.06636281106291921 -0.7516984074121438 -0.7516984074121438 3 0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 4 -0.2576098038951917 -0.7516984074121438 0 5 0.06636281106291918 -0.7516984074121438 0.7516984074121438 6 0.2422365795893657 -0.521317286312556 0 7 0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 8 0.2350120286709091 -1.465841337200402e-16 -1.465841337200402e-16 9 -0.4847803922096156 -1.465841337200402e-16 0 10 0.1248841817693533 -1.465841337200402e-16 0.7516984074121438 11 0.09877141338753155 0 -0.8984499284579618 12 -0.2576098038951917 0 -0.7516984074121438 13 0.2422365795893657 0 -0.521317286312556 14 -0.4847803922096156 0 -1.465841337200402e-16 15 0.3179840140462046 0 7.316629614370182e-17 16 0.2422365795893658 0 0.5213172863125559 17 -0.2576098038951916 0 0.7516984074121438 18 0.09877141338753148 0 0.898449928457962 19 0.3179840140462046 7.316629614370182e-17 0 20 0.2422365795893658 0.5213172863125559 0 21 0.06636281106291918 0.7516984074121438 -0.7516984074121438 22 0.1248841817693533 0.7516984074121438 -1.465841337200402e-16 23 -0.2576098038951916 0.7516984074121438 0 24 0.06636281106291915 0.7516984074121438 0.7516984074121438 25 0.09877141338753148 0.898449928457962 0 TNO sparse grid, Dim 2, Level 5 1 0.02544448443321295 -0.8984499284579618 -0.7516984074121438 2 0.0478824445211057 -0.8984499284579618 -1.465841337200402e-16 3 0 -0.8984499284579618 0 4 0.02544448443321294 -0.8984499284579618 0.7516984074121438 5 0.02544448443321295 -0.7516984074121438 -0.8984499284579618 6 -0.06636281106291922 -0.7516984074121438 -0.7516984074121438 7 0.0624025177642586 -0.7516984074121438 -0.521317286312556 8 -0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 9 0.08191579950024877 -0.7516984074121438 7.316629614370182e-17 10 0.06240251776425861 -0.7516984074121438 0.5213172863125559 11 -0.06636281106291919 -0.7516984074121438 0.7516984074121438 12 0.02544448443321294 -0.7516984074121438 0.898449928457962 13 0.0624025177642586 -0.521317286312556 -0.7516984074121438 14 0.1174315440608487 -0.521317286312556 -1.465841337200402e-16 15 0 -0.521317286312556 0 16 0.06240251776425857 -0.521317286312556 0.7516984074121438 17 0.0478824445211057 -1.465841337200402e-16 -0.8984499284579618 18 -0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 19 0.1174315440608487 -1.465841337200402e-16 -0.521317286312556 20 -0.2350120286709091 -1.465841337200402e-16 -1.465841337200402e-16 21 0.1541524150457073 -1.465841337200402e-16 7.316629614370182e-17 22 0.1174315440608487 -1.465841337200402e-16 0.5213172863125559 23 -0.1248841817693533 -1.465841337200402e-16 0.7516984074121438 24 0.04788244452110567 -1.465841337200402e-16 0.898449928457962 25 0 0 -0.8984499284579618 26 0 0 -0.521317286312556 27 0 0 7.316629614370182e-17 28 0 0 0.5213172863125559 29 0 0 0.898449928457962 30 0.08191579950024877 7.316629614370182e-17 -0.7516984074121438 31 0.1541524150457073 7.316629614370182e-17 -1.465841337200402e-16 32 0 7.316629614370182e-17 0 33 0.08191579950024874 7.316629614370182e-17 0.7516984074121438 34 0.06240251776425861 0.5213172863125559 -0.7516984074121438 35 0.1174315440608487 0.5213172863125559 -1.465841337200402e-16 36 0 0.5213172863125559 0 37 0.06240251776425858 0.5213172863125559 0.7516984074121438 38 0.02544448443321294 0.7516984074121438 -0.8984499284579618 39 -0.06636281106291919 0.7516984074121438 -0.7516984074121438 40 0.06240251776425857 0.7516984074121438 -0.521317286312556 41 -0.1248841817693533 0.7516984074121438 -1.465841337200402e-16 42 0.08191579950024874 0.7516984074121438 7.316629614370182e-17 43 0.06240251776425858 0.7516984074121438 0.5213172863125559 44 -0.06636281106291916 0.7516984074121438 0.7516984074121438 45 0.02544448443321293 0.7516984074121438 0.898449928457962 46 0.02544448443321294 0.898449928457962 -0.7516984074121438 47 0.04788244452110567 0.898449928457962 -1.465841337200402e-16 48 0 0.898449928457962 0 49 0.02544448443321293 0.898449928457962 0.7516984074121438 TNO sparse grid, Dim 2, Level 6 1 0.05120922616144932 -0.9458406558946999 0 2 0.02544448443321299 -0.8984499284579618 -0.7516984074121438 3 0.04788244452110577 -0.8984499284579618 -1.465841337200402e-16 4 -0.0987714133875317 -0.8984499284579618 0 5 0.02544448443321298 -0.8984499284579618 0.7516984074121438 6 0.02544448443321299 -0.7516984074121438 -0.8984499284579618 7 -0.0663628110629193 -0.7516984074121438 -0.7516984074121438 8 0.06240251776425868 -0.7516984074121438 -0.521317286312556 9 -0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 10 0.08191579950024888 -0.7516984074121438 7.316629614370182e-17 11 0.0624025177642587 -0.7516984074121438 0.5213172863125559 12 -0.06636281106291927 -0.7516984074121438 0.7516984074121438 13 0.02544448443321297 -0.7516984074121438 0.898449928457962 14 0.1277556497685101 -0.7302915927779282 0 15 0.06240251776425868 -0.521317286312556 -0.7516984074121438 16 0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 17 -0.2422365795893661 -0.521317286312556 0 18 0.06240251776425865 -0.521317286312556 0.7516984074121438 19 0.2028471683540211 -0.3947841138633818 0 20 0.2363759114320387 -1.631372488456608e-16 0 21 0.04788244452110577 -1.465841337200402e-16 -0.8984499284579618 22 -0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 23 0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 24 -0.2350120286709094 -1.465841337200402e-16 -1.465841337200402e-16 25 0.1541524150457075 -1.465841337200402e-16 7.316629614370182e-17 26 0.1174315440608489 -1.465841337200402e-16 0.5213172863125559 27 -0.1248841817693535 -1.465841337200402e-16 0.7516984074121438 28 0.04788244452110573 -1.465841337200402e-16 0.898449928457962 29 0.05120922616144932 0 -0.9458406558946999 30 -0.0987714133875317 0 -0.8984499284579618 31 0.1277556497685101 0 -0.7302915927779282 32 -0.2422365795893661 0 -0.521317286312556 33 0.2028471683540211 0 -0.3947841138633818 34 0.2363759114320387 0 -1.631372488456608e-16 35 -0.3179840140462051 0 7.316629614370182e-17 36 0.2028471683540213 0 0.394784113863382 37 -0.2422365795893661 0 0.5213172863125559 38 0.1277556497685099 0 0.7302915927779281 39 -0.09877141338753163 0 0.898449928457962 40 0.05120922616144952 0 0.9458406558947 41 0.08191579950024888 7.316629614370182e-17 -0.7516984074121438 42 0.1541524150457075 7.316629614370182e-17 -1.465841337200402e-16 43 -0.3179840140462051 7.316629614370182e-17 0 44 0.08191579950024885 7.316629614370182e-17 0.7516984074121438 45 0.2028471683540213 0.394784113863382 0 46 0.0624025177642587 0.5213172863125559 -0.7516984074121438 47 0.1174315440608489 0.5213172863125559 -1.465841337200402e-16 48 -0.2422365795893661 0.5213172863125559 0 49 0.06240251776425867 0.5213172863125559 0.7516984074121438 50 0.1277556497685099 0.7302915927779281 0 51 0.02544448443321298 0.7516984074121438 -0.8984499284579618 52 -0.06636281106291927 0.7516984074121438 -0.7516984074121438 53 0.06240251776425865 0.7516984074121438 -0.521317286312556 54 -0.1248841817693535 0.7516984074121438 -1.465841337200402e-16 55 0.08191579950024885 0.7516984074121438 7.316629614370182e-17 56 0.06240251776425867 0.7516984074121438 0.5213172863125559 57 -0.06636281106291925 0.7516984074121438 0.7516984074121438 58 0.02544448443321296 0.7516984074121438 0.898449928457962 59 0.02544448443321297 0.898449928457962 -0.7516984074121438 60 0.04788244452110573 0.898449928457962 -1.465841337200402e-16 61 -0.09877141338753163 0.898449928457962 0 62 0.02544448443321296 0.898449928457962 0.7516984074121438 63 0.05120922616144952 0.9458406558947 0 TNO sparse grid, Dim 2, Level 7 1 0.01319199870907549 -0.9458406558946999 -0.7516984074121438 2 0.02482522874329834 -0.9458406558946999 -1.465841337200402e-16 3 0 -0.9458406558946999 0 4 0.01319199870907549 -0.9458406558946999 0.7516984074121438 5 0.009755792102570675 -0.8984499284579618 -0.8984499284579618 6 -0.02544448443321298 -0.8984499284579618 -0.7516984074121438 7 0.023926049340203 -0.8984499284579618 -0.521317286312556 8 -0.04788244452110575 -0.8984499284579618 -1.465841337200402e-16 9 0.0314077305019844 -0.8984499284579618 7.316629614370182e-17 10 0.023926049340203 -0.8984499284579618 0.5213172863125559 11 -0.02544448443321297 -0.8984499284579618 0.7516984074121438 12 0.009755792102570668 -0.8984499284579618 0.898449928457962 13 0.01319199870907549 -0.7516984074121438 -0.9458406558946999 14 -0.02544448443321298 -0.7516984074121438 -0.8984499284579618 15 0.03291110788336871 -0.7516984074121438 -0.7302915927779282 16 -0.06240251776425867 -0.7516984074121438 -0.521317286312556 17 0.05225541926037437 -0.7516984074121438 -0.3947841138633818 18 0.06089275218955476 -0.7516984074121438 -1.631372488456608e-16 19 -0.08191579950024887 -0.7516984074121438 7.316629614370182e-17 20 0.05225541926037443 -0.7516984074121438 0.394784113863382 21 -0.06240251776425868 -0.7516984074121438 0.5213172863125559 22 0.03291110788336868 -0.7516984074121438 0.7302915927779281 23 -0.02544448443321297 -0.7516984074121438 0.898449928457962 24 0.01319199870907554 -0.7516984074121438 0.9458406558947 25 0.03291110788336871 -0.7302915927779282 -0.7516984074121438 26 0.06193343400177269 -0.7302915927779282 -1.465841337200402e-16 27 0 -0.7302915927779282 0 28 0.0329111078833687 -0.7302915927779282 0.7516984074121438 29 0.023926049340203 -0.521317286312556 -0.8984499284579618 30 -0.06240251776425867 -0.521317286312556 -0.7516984074121438 31 0.05867856049115528 -0.521317286312556 -0.521317286312556 32 -0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 33 0.07702735992664965 -0.521317286312556 7.316629614370182e-17 34 0.05867856049115529 -0.521317286312556 0.5213172863125559 35 -0.06240251776425864 -0.521317286312556 0.7516984074121438 36 0.02392604934020298 -0.521317286312556 0.898449928457962 37 0.05225541926037437 -0.3947841138633818 -0.7516984074121438 38 0.0983363298332724 -0.3947841138633818 -1.465841337200402e-16 39 0 -0.3947841138633818 0 40 0.05225541926037435 -0.3947841138633818 0.7516984074121438 41 0.06089275218955476 -1.631372488456608e-16 -0.7516984074121438 42 0.1145904070529292 -1.631372488456608e-16 -1.465841337200402e-16 43 0 -1.631372488456608e-16 0 44 0.06089275218955473 -1.631372488456608e-16 0.7516984074121438 45 0.02482522874329834 -1.465841337200402e-16 -0.9458406558946999 46 -0.04788244452110575 -1.465841337200402e-16 -0.8984499284579618 47 0.06193343400177269 -1.465841337200402e-16 -0.7302915927779282 48 -0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 49 0.0983363298332724 -1.465841337200402e-16 -0.3947841138633818 50 0.1145904070529292 -1.465841337200402e-16 -1.631372488456608e-16 51 -0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 52 0.09833632983327251 -1.465841337200402e-16 0.394784113863382 53 -0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 54 0.06193343400177262 -1.465841337200402e-16 0.7302915927779281 55 -0.04788244452110572 -1.465841337200402e-16 0.898449928457962 56 0.02482522874329843 -1.465841337200402e-16 0.9458406558947 57 0 0 -0.9458406558946999 58 0 0 -0.7302915927779282 59 0 0 -0.3947841138633818 60 0 0 -1.631372488456608e-16 61 0 0 0.394784113863382 62 0 0 0.7302915927779281 63 0 0 0.9458406558947 64 0.0314077305019844 7.316629614370182e-17 -0.8984499284579618 65 -0.08191579950024887 7.316629614370182e-17 -0.7516984074121438 66 0.07702735992664965 7.316629614370182e-17 -0.521317286312556 67 -0.1541524150457074 7.316629614370182e-17 -1.465841337200402e-16 68 0.1011138331889371 7.316629614370182e-17 7.316629614370182e-17 69 0.07702735992664966 7.316629614370182e-17 0.5213172863125559 70 -0.08191579950024884 7.316629614370182e-17 0.7516984074121438 71 0.03140773050198438 7.316629614370182e-17 0.898449928457962 72 0.05225541926037443 0.394784113863382 -0.7516984074121438 73 0.09833632983327251 0.394784113863382 -1.465841337200402e-16 74 0 0.394784113863382 0 75 0.05225541926037441 0.394784113863382 0.7516984074121438 76 0.023926049340203 0.5213172863125559 -0.8984499284579618 77 -0.06240251776425868 0.5213172863125559 -0.7516984074121438 78 0.05867856049115529 0.5213172863125559 -0.521317286312556 79 -0.1174315440608488 0.5213172863125559 -1.465841337200402e-16 80 0.07702735992664966 0.5213172863125559 7.316629614370182e-17 81 0.05867856049115531 0.5213172863125559 0.5213172863125559 82 -0.06240251776425865 0.5213172863125559 0.7516984074121438 83 0.02392604934020299 0.5213172863125559 0.898449928457962 84 0.03291110788336868 0.7302915927779281 -0.7516984074121438 85 0.06193343400177262 0.7302915927779281 -1.465841337200402e-16 86 0 0.7302915927779281 0 87 0.03291110788336866 0.7302915927779281 0.7516984074121438 88 0.01319199870907549 0.7516984074121438 -0.9458406558946999 89 -0.02544448443321297 0.7516984074121438 -0.8984499284579618 90 0.0329111078833687 0.7516984074121438 -0.7302915927779282 91 -0.06240251776425864 0.7516984074121438 -0.521317286312556 92 0.05225541926037435 0.7516984074121438 -0.3947841138633818 93 0.06089275218955473 0.7516984074121438 -1.631372488456608e-16 94 -0.08191579950024884 0.7516984074121438 7.316629614370182e-17 95 0.05225541926037441 0.7516984074121438 0.394784113863382 96 -0.06240251776425865 0.7516984074121438 0.5213172863125559 97 0.03291110788336866 0.7516984074121438 0.7302915927779281 98 -0.02544448443321295 0.7516984074121438 0.898449928457962 99 0.01319199870907554 0.7516984074121438 0.9458406558947 100 0.009755792102570668 0.898449928457962 -0.8984499284579618 101 -0.02544448443321297 0.898449928457962 -0.7516984074121438 102 0.02392604934020298 0.898449928457962 -0.521317286312556 103 -0.04788244452110572 0.898449928457962 -1.465841337200402e-16 104 0.03140773050198438 0.898449928457962 7.316629614370182e-17 105 0.02392604934020299 0.898449928457962 0.5213172863125559 106 -0.02544448443321295 0.898449928457962 0.7516984074121438 107 0.009755792102570661 0.898449928457962 0.898449928457962 108 0.01319199870907554 0.9458406558947 -0.7516984074121438 109 0.02482522874329843 0.9458406558947 -1.465841337200402e-16 110 0 0.9458406558947 0 111 0.01319199870907554 0.9458406558947 0.7516984074121438 TNO_SPARSE_GRID_WRITE_TEST: Write a TNO sparse grid to a file. W data written to "tno_d2_level1_w.txt". X data written to "tno_d2_level1_x.txt", W data written to "tno_d2_level2_w.txt". X data written to "tno_d2_level2_x.txt", W data written to "tno_d2_level3_w.txt". X data written to "tno_d2_level3_x.txt", W data written to "tno_d2_level4_w.txt". X data written to "tno_d2_level4_x.txt", W data written to "tno_d2_level5_w.txt". X data written to "tno_d2_level5_x.txt", W data written to "tno_d2_level6_w.txt". X data written to "tno_d2_level6_x.txt", W data written to "tno_d2_level7_w.txt". X data written to "tno_d2_level7_x.txt", truncated_normal_sparse_grid_test(): Normal end of execution. 08-Jan-2022 10:44:47