11-Apr-2019 11:02:09 truncated_normal_sparse_grid_test MATLAB version 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 0.06636281106291925 -0.7516984074121438 -0.7516984074121438 3 0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 4 -0.2576098038951918 -0.7516984074121438 0 5 0.06636281106291922 -0.7516984074121438 0.7516984074121438 6 0.2422365795893659 -0.521317286312556 0 7 0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 8 0.2350120286709092 -1.465841337200402e-16 -1.465841337200402e-16 9 -0.4847803922096159 -1.465841337200402e-16 0 10 0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 11 0.09877141338753155 0 -0.8984499284579618 12 -0.2576098038951918 0 -0.7516984074121438 13 0.2422365795893659 0 -0.521317286312556 14 -0.4847803922096159 0 -1.465841337200402e-16 15 0.3179840140462047 0 7.316629614370182e-17 16 0.2422365795893658 0 0.5213172863125559 17 -0.2576098038951917 0 0.7516984074121438 18 0.09877141338753152 0 0.898449928457962 19 0.3179840140462047 7.316629614370182e-17 0 20 0.2422365795893658 0.5213172863125559 0 21 0.06636281106291922 0.7516984074121438 -0.7516984074121438 22 0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 23 -0.2576098038951917 0.7516984074121438 0 24 0.06636281106291919 0.7516984074121438 0.7516984074121438 25 0.09877141338753152 0.898449928457962 0 TNO sparse grid, Dim 2, Level 5 1 0.02544448443321295 -0.8984499284579618 -0.7516984074121438 2 0.04788244452110569 -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 -0.06636281106291925 -0.7516984074121438 -0.7516984074121438 7 0.06240251776425863 -0.7516984074121438 -0.521317286312556 8 -0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 9 0.08191579950024878 -0.7516984074121438 7.316629614370182e-17 10 0.06240251776425861 -0.7516984074121438 0.5213172863125559 11 -0.06636281106291922 -0.7516984074121438 0.7516984074121438 12 0.02544448443321294 -0.7516984074121438 0.898449928457962 13 0.06240251776425863 -0.521317286312556 -0.7516984074121438 14 0.1174315440608487 -0.521317286312556 -1.465841337200402e-16 15 0 -0.521317286312556 0 16 0.0624025177642586 -0.521317286312556 0.7516984074121438 17 0.04788244452110569 -1.465841337200402e-16 -0.8984499284579618 18 -0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 19 0.1174315440608487 -1.465841337200402e-16 -0.521317286312556 20 -0.2350120286709092 -1.465841337200402e-16 -1.465841337200402e-16 21 0.1541524150457073 -1.465841337200402e-16 7.316629614370182e-17 22 0.1174315440608487 -1.465841337200402e-16 0.5213172863125559 23 -0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 24 0.04788244452110568 -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 0.08191579950024878 7.316629614370182e-17 -0.7516984074121438 31 0.1541524150457073 7.316629614370182e-17 -1.465841337200402e-16 32 0 7.316629614370182e-17 0 33 0.08191579950024876 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 -0.06636281106291922 0.7516984074121438 -0.7516984074121438 40 0.0624025177642586 0.7516984074121438 -0.521317286312556 41 -0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 42 0.08191579950024876 0.7516984074121438 7.316629614370182e-17 43 0.06240251776425858 0.7516984074121438 0.5213172863125559 44 -0.06636281106291919 0.7516984074121438 0.7516984074121438 45 0.02544448443321293 0.7516984074121438 0.898449928457962 46 0.02544448443321294 0.898449928457962 -0.7516984074121438 47 0.04788244452110568 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 0.05120922616144859 -0.9458406558947007 0 2 0.02544448443321297 -0.8984499284579618 -0.7516984074121438 3 0.04788244452110572 -0.8984499284579618 -1.465841337200402e-16 4 -0.09877141338753161 -0.8984499284579618 0 5 0.02544448443321295 -0.8984499284579618 0.7516984074121438 6 0.02544448443321297 -0.7516984074121438 -0.8984499284579618 7 -0.06636281106291929 -0.7516984074121438 -0.7516984074121438 8 0.06240251776425867 -0.7516984074121438 -0.521317286312556 9 -0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 10 0.08191579950024884 -0.7516984074121438 7.316629614370182e-17 11 0.06240251776425865 -0.7516984074121438 0.5213172863125559 12 -0.06636281106291926 -0.7516984074121438 0.7516984074121438 13 0.02544448443321296 -0.7516984074121438 0.898449928457962 14 0.1277556497685089 -0.730291592777931 0 15 0.06240251776425867 -0.521317286312556 -0.7516984074121438 16 0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 17 -0.242236579589366 -0.521317286312556 0 18 0.06240251776425864 -0.521317286312556 0.7516984074121438 19 0.2028471683540219 -0.3947841138633844 0 20 0.04788244452110572 -1.465841337200402e-16 -0.8984499284579618 21 -0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 22 0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 23 -0.2350120286709094 -1.465841337200402e-16 -1.465841337200402e-16 24 0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 25 0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 26 -0.1248841817693535 -1.465841337200402e-16 0.7516984074121438 27 0.04788244452110571 -1.465841337200402e-16 0.898449928457962 28 0.2363759114320406 -4.523027107396874e-17 0 29 0.05120922616144859 0 -0.9458406558947007 30 -0.09877141338753161 0 -0.8984499284579618 31 0.1277556497685089 0 -0.730291592777931 32 -0.242236579589366 0 -0.521317286312556 33 0.2028471683540219 0 -0.3947841138633844 34 0.2363759114320406 0 -4.523027107396874e-17 35 -0.3179840140462049 0 7.316629614370182e-17 36 0.2028471683540221 0 0.3947841138633847 37 -0.242236579589366 0 0.5213172863125559 38 0.1277556497685091 0 0.7302915927779311 39 -0.09877141338753158 0 0.898449928457962 40 0.05120922616144843 0 0.9458406558947003 41 0.08191579950024884 7.316629614370182e-17 -0.7516984074121438 42 0.1541524150457074 7.316629614370182e-17 -1.465841337200402e-16 43 -0.3179840140462049 7.316629614370182e-17 0 44 0.08191579950024881 7.316629614370182e-17 0.7516984074121438 45 0.2028471683540221 0.3947841138633847 0 46 0.06240251776425865 0.5213172863125559 -0.7516984074121438 47 0.1174315440608488 0.5213172863125559 -1.465841337200402e-16 48 -0.242236579589366 0.5213172863125559 0 49 0.06240251776425863 0.5213172863125559 0.7516984074121438 50 0.1277556497685091 0.7302915927779311 0 51 0.02544448443321295 0.7516984074121438 -0.8984499284579618 52 -0.06636281106291926 0.7516984074121438 -0.7516984074121438 53 0.06240251776425864 0.7516984074121438 -0.521317286312556 54 -0.1248841817693535 0.7516984074121438 -1.465841337200402e-16 55 0.08191579950024881 0.7516984074121438 7.316629614370182e-17 56 0.06240251776425863 0.7516984074121438 0.5213172863125559 57 -0.06636281106291923 0.7516984074121438 0.7516984074121438 58 0.02544448443321295 0.7516984074121438 0.898449928457962 59 0.02544448443321296 0.898449928457962 -0.7516984074121438 60 0.04788244452110571 0.898449928457962 -1.465841337200402e-16 61 -0.09877141338753158 0.898449928457962 0 62 0.02544448443321295 0.898449928457962 0.7516984074121438 63 0.05120922616144843 0.9458406558947003 0 TNO sparse grid, Dim 2, Level 7 1 0.01319199870907532 -0.9458406558947007 -0.7516984074121438 2 0.02482522874329801 -0.9458406558947007 -1.465841337200402e-16 3 0 -0.9458406558947007 0 4 0.01319199870907531 -0.9458406558947007 0.7516984074121438 5 0.009755792102570665 -0.8984499284579618 -0.8984499284579618 6 -0.02544448443321298 -0.8984499284579618 -0.7516984074121438 7 0.02392604934020299 -0.8984499284579618 -0.521317286312556 8 -0.04788244452110575 -0.8984499284579618 -1.465841337200402e-16 9 0.03140773050198439 -0.8984499284579618 7.316629614370182e-17 10 0.02392604934020299 -0.8984499284579618 0.5213172863125559 11 -0.02544448443321297 -0.8984499284579618 0.7516984074121438 12 0.009755792102570663 -0.8984499284579618 0.898449928457962 13 0.01319199870907532 -0.7516984074121438 -0.9458406558947007 14 -0.02544448443321298 -0.7516984074121438 -0.8984499284579618 15 0.03291110788336844 -0.7516984074121438 -0.730291592777931 16 -0.0624025177642587 -0.7516984074121438 -0.521317286312556 17 0.05225541926037461 -0.7516984074121438 -0.3947841138633844 18 0.0608927521895553 -0.7516984074121438 -4.523027107396874e-17 19 -0.08191579950024887 -0.7516984074121438 7.316629614370182e-17 20 0.05225541926037467 -0.7516984074121438 0.3947841138633847 21 -0.06240251776425868 -0.7516984074121438 0.5213172863125559 22 0.03291110788336849 -0.7516984074121438 0.7302915927779311 23 -0.02544448443321297 -0.7516984074121438 0.898449928457962 24 0.01319199870907528 -0.7516984074121438 0.9458406558947003 25 0.03291110788336844 -0.730291592777931 -0.7516984074121438 26 0.06193343400177216 -0.730291592777931 -1.465841337200402e-16 27 0 -0.730291592777931 0 28 0.03291110788336842 -0.730291592777931 0.7516984074121438 29 0.02392604934020299 -0.521317286312556 -0.8984499284579618 30 -0.0624025177642587 -0.521317286312556 -0.7516984074121438 31 0.05867856049115531 -0.521317286312556 -0.521317286312556 32 -0.1174315440608489 -0.521317286312556 -1.465841337200402e-16 33 0.07702735992664965 -0.521317286312556 7.316629614370182e-17 34 0.05867856049115529 -0.521317286312556 0.5213172863125559 35 -0.06240251776425867 -0.521317286312556 0.7516984074121438 36 0.02392604934020299 -0.521317286312556 0.898449928457962 37 0.05225541926037461 -0.3947841138633844 -0.7516984074121438 38 0.09833632983327284 -0.3947841138633844 -1.465841337200402e-16 39 0 -0.3947841138633844 0 40 0.05225541926037459 -0.3947841138633844 0.7516984074121438 41 0.02482522874329801 -1.465841337200402e-16 -0.9458406558947007 42 -0.04788244452110575 -1.465841337200402e-16 -0.8984499284579618 43 0.06193343400177216 -1.465841337200402e-16 -0.730291592777931 44 -0.1174315440608489 -1.465841337200402e-16 -0.521317286312556 45 0.09833632983327284 -1.465841337200402e-16 -0.3947841138633844 46 0.1145904070529302 -1.465841337200402e-16 -4.523027107396874e-17 47 -0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 48 0.09833632983327296 -1.465841337200402e-16 0.3947841138633847 49 -0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 50 0.06193343400177227 -1.465841337200402e-16 0.7302915927779311 51 -0.04788244452110574 -1.465841337200402e-16 0.898449928457962 52 0.02482522874329793 -1.465841337200402e-16 0.9458406558947003 53 0.0608927521895553 -4.523027107396874e-17 -0.7516984074121438 54 0.1145904070529302 -4.523027107396874e-17 -1.465841337200402e-16 55 0 -4.523027107396874e-17 0 56 0.06089275218955528 -4.523027107396874e-17 0.7516984074121438 57 0 0 -0.9458406558947007 58 0 0 -0.730291592777931 59 0 0 -0.3947841138633844 60 0 0 -4.523027107396874e-17 61 0 0 0.3947841138633847 62 0 0 0.7302915927779311 63 0 0 0.9458406558947003 64 0.03140773050198439 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 0.07702735992664964 7.316629614370182e-17 0.5213172863125559 70 -0.08191579950024884 7.316629614370182e-17 0.7516984074121438 71 0.03140773050198437 7.316629614370182e-17 0.898449928457962 72 0.05225541926037467 0.3947841138633847 -0.7516984074121438 73 0.09833632983327296 0.3947841138633847 -1.465841337200402e-16 74 0 0.3947841138633847 0 75 0.05225541926037465 0.3947841138633847 0.7516984074121438 76 0.02392604934020299 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 0.07702735992664964 0.5213172863125559 7.316629614370182e-17 81 0.05867856049115528 0.5213172863125559 0.5213172863125559 82 -0.06240251776425865 0.5213172863125559 0.7516984074121438 83 0.02392604934020298 0.5213172863125559 0.898449928457962 84 0.03291110788336849 0.7302915927779311 -0.7516984074121438 85 0.06193343400177227 0.7302915927779311 -1.465841337200402e-16 86 0 0.7302915927779311 0 87 0.03291110788336848 0.7302915927779311 0.7516984074121438 88 0.01319199870907531 0.7516984074121438 -0.9458406558947007 89 -0.02544448443321297 0.7516984074121438 -0.8984499284579618 90 0.03291110788336842 0.7516984074121438 -0.730291592777931 91 -0.06240251776425867 0.7516984074121438 -0.521317286312556 92 0.05225541926037459 0.7516984074121438 -0.3947841138633844 93 0.06089275218955528 0.7516984074121438 -4.523027107396874e-17 94 -0.08191579950024884 0.7516984074121438 7.316629614370182e-17 95 0.05225541926037465 0.7516984074121438 0.3947841138633847 96 -0.06240251776425865 0.7516984074121438 0.5213172863125559 97 0.03291110788336848 0.7516984074121438 0.7302915927779311 98 -0.02544448443321296 0.7516984074121438 0.898449928457962 99 0.01319199870907527 0.7516984074121438 0.9458406558947003 100 0.009755792102570663 0.898449928457962 -0.8984499284579618 101 -0.02544448443321297 0.898449928457962 -0.7516984074121438 102 0.02392604934020299 0.898449928457962 -0.521317286312556 103 -0.04788244452110574 0.898449928457962 -1.465841337200402e-16 104 0.03140773050198437 0.898449928457962 7.316629614370182e-17 105 0.02392604934020298 0.898449928457962 0.5213172863125559 106 -0.02544448443321296 0.898449928457962 0.7516984074121438 107 0.00975579210257066 0.898449928457962 0.898449928457962 108 0.01319199870907528 0.9458406558947003 -0.7516984074121438 109 0.02482522874329793 0.9458406558947003 -1.465841337200402e-16 110 0 0.9458406558947003 0 111 0.01319199870907527 0.9458406558947003 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 0.06636281106291925 -0.7516984074121438 -0.7516984074121438 3 0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 4 -0.2576098038951918 -0.7516984074121438 0 5 0.06636281106291922 -0.7516984074121438 0.7516984074121438 6 0.2422365795893659 -0.521317286312556 0 7 0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 8 0.2350120286709092 -1.465841337200402e-16 -1.465841337200402e-16 9 -0.4847803922096159 -1.465841337200402e-16 0 10 0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 11 0.09877141338753155 0 -0.8984499284579618 12 -0.2576098038951918 0 -0.7516984074121438 13 0.2422365795893659 0 -0.521317286312556 14 -0.4847803922096159 0 -1.465841337200402e-16 15 0.3179840140462047 0 7.316629614370182e-17 16 0.2422365795893658 0 0.5213172863125559 17 -0.2576098038951917 0 0.7516984074121438 18 0.09877141338753152 0 0.898449928457962 19 0.3179840140462047 7.316629614370182e-17 0 20 0.2422365795893658 0.5213172863125559 0 21 0.06636281106291922 0.7516984074121438 -0.7516984074121438 22 0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 23 -0.2576098038951917 0.7516984074121438 0 24 0.06636281106291919 0.7516984074121438 0.7516984074121438 25 0.09877141338753152 0.898449928457962 0 TNO sparse grid, Dim 2, Level 5 1 0.02544448443321295 -0.8984499284579618 -0.7516984074121438 2 0.04788244452110569 -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 -0.06636281106291925 -0.7516984074121438 -0.7516984074121438 7 0.06240251776425863 -0.7516984074121438 -0.521317286312556 8 -0.1248841817693534 -0.7516984074121438 -1.465841337200402e-16 9 0.08191579950024878 -0.7516984074121438 7.316629614370182e-17 10 0.06240251776425861 -0.7516984074121438 0.5213172863125559 11 -0.06636281106291922 -0.7516984074121438 0.7516984074121438 12 0.02544448443321294 -0.7516984074121438 0.898449928457962 13 0.06240251776425863 -0.521317286312556 -0.7516984074121438 14 0.1174315440608487 -0.521317286312556 -1.465841337200402e-16 15 0 -0.521317286312556 0 16 0.0624025177642586 -0.521317286312556 0.7516984074121438 17 0.04788244452110569 -1.465841337200402e-16 -0.8984499284579618 18 -0.1248841817693534 -1.465841337200402e-16 -0.7516984074121438 19 0.1174315440608487 -1.465841337200402e-16 -0.521317286312556 20 -0.2350120286709092 -1.465841337200402e-16 -1.465841337200402e-16 21 0.1541524150457073 -1.465841337200402e-16 7.316629614370182e-17 22 0.1174315440608487 -1.465841337200402e-16 0.5213172863125559 23 -0.1248841817693534 -1.465841337200402e-16 0.7516984074121438 24 0.04788244452110568 -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 0.08191579950024878 7.316629614370182e-17 -0.7516984074121438 31 0.1541524150457073 7.316629614370182e-17 -1.465841337200402e-16 32 0 7.316629614370182e-17 0 33 0.08191579950024876 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 -0.06636281106291922 0.7516984074121438 -0.7516984074121438 40 0.0624025177642586 0.7516984074121438 -0.521317286312556 41 -0.1248841817693534 0.7516984074121438 -1.465841337200402e-16 42 0.08191579950024876 0.7516984074121438 7.316629614370182e-17 43 0.06240251776425858 0.7516984074121438 0.5213172863125559 44 -0.06636281106291919 0.7516984074121438 0.7516984074121438 45 0.02544448443321293 0.7516984074121438 0.898449928457962 46 0.02544448443321294 0.898449928457962 -0.7516984074121438 47 0.04788244452110568 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 0.05120922616144859 -0.9458406558947007 0 2 0.02544448443321297 -0.8984499284579618 -0.7516984074121438 3 0.04788244452110572 -0.8984499284579618 -1.465841337200402e-16 4 -0.09877141338753161 -0.8984499284579618 0 5 0.02544448443321295 -0.8984499284579618 0.7516984074121438 6 0.02544448443321297 -0.7516984074121438 -0.8984499284579618 7 -0.06636281106291929 -0.7516984074121438 -0.7516984074121438 8 0.06240251776425867 -0.7516984074121438 -0.521317286312556 9 -0.1248841817693535 -0.7516984074121438 -1.465841337200402e-16 10 0.08191579950024884 -0.7516984074121438 7.316629614370182e-17 11 0.06240251776425865 -0.7516984074121438 0.5213172863125559 12 -0.06636281106291926 -0.7516984074121438 0.7516984074121438 13 0.02544448443321296 -0.7516984074121438 0.898449928457962 14 0.1277556497685089 -0.730291592777931 0 15 0.06240251776425867 -0.521317286312556 -0.7516984074121438 16 0.1174315440608488 -0.521317286312556 -1.465841337200402e-16 17 -0.242236579589366 -0.521317286312556 0 18 0.06240251776425864 -0.521317286312556 0.7516984074121438 19 0.2028471683540219 -0.3947841138633844 0 20 0.04788244452110572 -1.465841337200402e-16 -0.8984499284579618 21 -0.1248841817693535 -1.465841337200402e-16 -0.7516984074121438 22 0.1174315440608488 -1.465841337200402e-16 -0.521317286312556 23 -0.2350120286709094 -1.465841337200402e-16 -1.465841337200402e-16 24 0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 25 0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 26 -0.1248841817693535 -1.465841337200402e-16 0.7516984074121438 27 0.04788244452110571 -1.465841337200402e-16 0.898449928457962 28 0.2363759114320406 -4.523027107396874e-17 0 29 0.05120922616144859 0 -0.9458406558947007 30 -0.09877141338753161 0 -0.8984499284579618 31 0.1277556497685089 0 -0.730291592777931 32 -0.242236579589366 0 -0.521317286312556 33 0.2028471683540219 0 -0.3947841138633844 34 0.2363759114320406 0 -4.523027107396874e-17 35 -0.3179840140462049 0 7.316629614370182e-17 36 0.2028471683540221 0 0.3947841138633847 37 -0.242236579589366 0 0.5213172863125559 38 0.1277556497685091 0 0.7302915927779311 39 -0.09877141338753158 0 0.898449928457962 40 0.05120922616144843 0 0.9458406558947003 41 0.08191579950024884 7.316629614370182e-17 -0.7516984074121438 42 0.1541524150457074 7.316629614370182e-17 -1.465841337200402e-16 43 -0.3179840140462049 7.316629614370182e-17 0 44 0.08191579950024881 7.316629614370182e-17 0.7516984074121438 45 0.2028471683540221 0.3947841138633847 0 46 0.06240251776425865 0.5213172863125559 -0.7516984074121438 47 0.1174315440608488 0.5213172863125559 -1.465841337200402e-16 48 -0.242236579589366 0.5213172863125559 0 49 0.06240251776425863 0.5213172863125559 0.7516984074121438 50 0.1277556497685091 0.7302915927779311 0 51 0.02544448443321295 0.7516984074121438 -0.8984499284579618 52 -0.06636281106291926 0.7516984074121438 -0.7516984074121438 53 0.06240251776425864 0.7516984074121438 -0.521317286312556 54 -0.1248841817693535 0.7516984074121438 -1.465841337200402e-16 55 0.08191579950024881 0.7516984074121438 7.316629614370182e-17 56 0.06240251776425863 0.7516984074121438 0.5213172863125559 57 -0.06636281106291923 0.7516984074121438 0.7516984074121438 58 0.02544448443321295 0.7516984074121438 0.898449928457962 59 0.02544448443321296 0.898449928457962 -0.7516984074121438 60 0.04788244452110571 0.898449928457962 -1.465841337200402e-16 61 -0.09877141338753158 0.898449928457962 0 62 0.02544448443321295 0.898449928457962 0.7516984074121438 63 0.05120922616144843 0.9458406558947003 0 TNO sparse grid, Dim 2, Level 7 1 0.01319199870907532 -0.9458406558947007 -0.7516984074121438 2 0.02482522874329801 -0.9458406558947007 -1.465841337200402e-16 3 0 -0.9458406558947007 0 4 0.01319199870907531 -0.9458406558947007 0.7516984074121438 5 0.009755792102570665 -0.8984499284579618 -0.8984499284579618 6 -0.02544448443321298 -0.8984499284579618 -0.7516984074121438 7 0.02392604934020299 -0.8984499284579618 -0.521317286312556 8 -0.04788244452110575 -0.8984499284579618 -1.465841337200402e-16 9 0.03140773050198439 -0.8984499284579618 7.316629614370182e-17 10 0.02392604934020299 -0.8984499284579618 0.5213172863125559 11 -0.02544448443321297 -0.8984499284579618 0.7516984074121438 12 0.009755792102570663 -0.8984499284579618 0.898449928457962 13 0.01319199870907532 -0.7516984074121438 -0.9458406558947007 14 -0.02544448443321298 -0.7516984074121438 -0.8984499284579618 15 0.03291110788336844 -0.7516984074121438 -0.730291592777931 16 -0.0624025177642587 -0.7516984074121438 -0.521317286312556 17 0.05225541926037461 -0.7516984074121438 -0.3947841138633844 18 0.0608927521895553 -0.7516984074121438 -4.523027107396874e-17 19 -0.08191579950024887 -0.7516984074121438 7.316629614370182e-17 20 0.05225541926037467 -0.7516984074121438 0.3947841138633847 21 -0.06240251776425868 -0.7516984074121438 0.5213172863125559 22 0.03291110788336849 -0.7516984074121438 0.7302915927779311 23 -0.02544448443321297 -0.7516984074121438 0.898449928457962 24 0.01319199870907528 -0.7516984074121438 0.9458406558947003 25 0.03291110788336844 -0.730291592777931 -0.7516984074121438 26 0.06193343400177216 -0.730291592777931 -1.465841337200402e-16 27 0 -0.730291592777931 0 28 0.03291110788336842 -0.730291592777931 0.7516984074121438 29 0.02392604934020299 -0.521317286312556 -0.8984499284579618 30 -0.0624025177642587 -0.521317286312556 -0.7516984074121438 31 0.05867856049115531 -0.521317286312556 -0.521317286312556 32 -0.1174315440608489 -0.521317286312556 -1.465841337200402e-16 33 0.07702735992664965 -0.521317286312556 7.316629614370182e-17 34 0.05867856049115529 -0.521317286312556 0.5213172863125559 35 -0.06240251776425867 -0.521317286312556 0.7516984074121438 36 0.02392604934020299 -0.521317286312556 0.898449928457962 37 0.05225541926037461 -0.3947841138633844 -0.7516984074121438 38 0.09833632983327284 -0.3947841138633844 -1.465841337200402e-16 39 0 -0.3947841138633844 0 40 0.05225541926037459 -0.3947841138633844 0.7516984074121438 41 0.02482522874329801 -1.465841337200402e-16 -0.9458406558947007 42 -0.04788244452110575 -1.465841337200402e-16 -0.8984499284579618 43 0.06193343400177216 -1.465841337200402e-16 -0.730291592777931 44 -0.1174315440608489 -1.465841337200402e-16 -0.521317286312556 45 0.09833632983327284 -1.465841337200402e-16 -0.3947841138633844 46 0.1145904070529302 -1.465841337200402e-16 -4.523027107396874e-17 47 -0.1541524150457074 -1.465841337200402e-16 7.316629614370182e-17 48 0.09833632983327296 -1.465841337200402e-16 0.3947841138633847 49 -0.1174315440608488 -1.465841337200402e-16 0.5213172863125559 50 0.06193343400177227 -1.465841337200402e-16 0.7302915927779311 51 -0.04788244452110574 -1.465841337200402e-16 0.898449928457962 52 0.02482522874329793 -1.465841337200402e-16 0.9458406558947003 53 0.0608927521895553 -4.523027107396874e-17 -0.7516984074121438 54 0.1145904070529302 -4.523027107396874e-17 -1.465841337200402e-16 55 0 -4.523027107396874e-17 0 56 0.06089275218955528 -4.523027107396874e-17 0.7516984074121438 57 0 0 -0.9458406558947007 58 0 0 -0.730291592777931 59 0 0 -0.3947841138633844 60 0 0 -4.523027107396874e-17 61 0 0 0.3947841138633847 62 0 0 0.7302915927779311 63 0 0 0.9458406558947003 64 0.03140773050198439 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 0.07702735992664964 7.316629614370182e-17 0.5213172863125559 70 -0.08191579950024884 7.316629614370182e-17 0.7516984074121438 71 0.03140773050198437 7.316629614370182e-17 0.898449928457962 72 0.05225541926037467 0.3947841138633847 -0.7516984074121438 73 0.09833632983327296 0.3947841138633847 -1.465841337200402e-16 74 0 0.3947841138633847 0 75 0.05225541926037465 0.3947841138633847 0.7516984074121438 76 0.02392604934020299 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 0.07702735992664964 0.5213172863125559 7.316629614370182e-17 81 0.05867856049115528 0.5213172863125559 0.5213172863125559 82 -0.06240251776425865 0.5213172863125559 0.7516984074121438 83 0.02392604934020298 0.5213172863125559 0.898449928457962 84 0.03291110788336849 0.7302915927779311 -0.7516984074121438 85 0.06193343400177227 0.7302915927779311 -1.465841337200402e-16 86 0 0.7302915927779311 0 87 0.03291110788336848 0.7302915927779311 0.7516984074121438 88 0.01319199870907531 0.7516984074121438 -0.9458406558947007 89 -0.02544448443321297 0.7516984074121438 -0.8984499284579618 90 0.03291110788336842 0.7516984074121438 -0.730291592777931 91 -0.06240251776425867 0.7516984074121438 -0.521317286312556 92 0.05225541926037459 0.7516984074121438 -0.3947841138633844 93 0.06089275218955528 0.7516984074121438 -4.523027107396874e-17 94 -0.08191579950024884 0.7516984074121438 7.316629614370182e-17 95 0.05225541926037465 0.7516984074121438 0.3947841138633847 96 -0.06240251776425865 0.7516984074121438 0.5213172863125559 97 0.03291110788336848 0.7516984074121438 0.7302915927779311 98 -0.02544448443321296 0.7516984074121438 0.898449928457962 99 0.01319199870907527 0.7516984074121438 0.9458406558947003 100 0.009755792102570663 0.898449928457962 -0.8984499284579618 101 -0.02544448443321297 0.898449928457962 -0.7516984074121438 102 0.02392604934020299 0.898449928457962 -0.521317286312556 103 -0.04788244452110574 0.898449928457962 -1.465841337200402e-16 104 0.03140773050198437 0.898449928457962 7.316629614370182e-17 105 0.02392604934020298 0.898449928457962 0.5213172863125559 106 -0.02544448443321296 0.898449928457962 0.7516984074121438 107 0.00975579210257066 0.898449928457962 0.898449928457962 108 0.01319199870907528 0.9458406558947003 -0.7516984074121438 109 0.02482522874329793 0.9458406558947003 -1.465841337200402e-16 110 0 0.9458406558947003 0 111 0.01319199870907527 0.9458406558947003 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. 11-Apr-2019 11:02:40