August 26 2003 2:44:39.574 PM INTEGRAL_TEST Test a file of sample points for use in equally weighted quadrature. The point data will be read from "cvt_02_00010.txt". The weight data will be read from "cvt_02_00010_weight_e.txt". The spatial dimension is 2 The number of points is 10 # cvt_02_00010.txt # created by CVT_DATASET # at April 11 2003 12:04:56.303 PM # # Spatial dimension M = 2 # Number of points N = 10 # # Initial SEED = 123456789 # Initialization by UNIFORM. # Sampling by UNIFORM. # Number of sample points = 500000 # Number of sampling iterations = 100 # L2 norm of dataset change on last step = 0.001501 # The input data file has been read. # cvt_02_00010_weight_e.txt # created by VORONOI_WEIGHT_WRITE # at May 30 2003 1:11:09.022 PM # # Spatial dimension M = 2 # Number of points N = 10 # EPSILON (unit roundoff) = 0.119209E-06 # # Initial SEED = 123456789 # # The generator points were read from the file: "/home/r1/src-samples/datasets/cvt/cvt_02_00010.txt". # Sampling by RANDOM_NUMBER (Fortran90 intrinsic). # Number of sample points = 1000000 # The file of weights was successfully read. INTEGRAL_TEST_01 Using a set of points in [0,1]^N, approximate integrals from the TESTNINT set. Problem Region Correct Estimated Absolute Relative Index Volume Integral Integral Error Error (%) 1 1.00000 1.16667 1.14952 0.171427E-01 1.46937 2 1.00000 1.06667 0.813654 0.253012 23.7199 4 1.00000 2.28571 1.37682 0.908891 39.7640 6 1.00000 1.00000 0.853082 0.146918 14.6918 8 1.00000 0.500000 0.500389 0.388682E-03 0.777364E-01 9 1.00000 1.68336 1.67974 0.361896E-02 0.214984 10 1.00000 0.500000 0.459201 0.407993E-01 8.15986 11 1.00000 2.95249 2.72348 0.229012 7.75655 14 1.00000 -0.250000 -0.250364 0.364333E-03 0.145733 15 1.00000 0.399576 0.439578 0.400013E-01 10.0109 16 1.00000 0.500000 0.459201 0.407993E-01 8.15986 17 1.00000 0.166667 0.149581 0.170861E-01 10.2517 18 1.00000 0.785398 0.832345 0.469468E-01 5.97745 19 1.00000 0.241265 0.254247 0.129816E-01 5.38063 24 1.00000 1.00000 0.853082 0.146918 14.6918 25 1.00000 1.08030 1.07997 0.328779E-03 0.304342E-01 26 1.00000 0.154818 0.154484 0.334203E-03 0.215868 28 1.00000 0.859876 0.870209 0.103329E-01 1.20167 30 1.00000 0.959521 0.963475 0.395399E-02 0.412080 31 1.00000 0.841679 0.793750 0.479281E-01 5.69435 INTEGRAL_TEST_01: Normal conclusion. INTEGRAL_TEST_02 Using a set of points in [0,1]^N, approximate integrals from the TESTNINT set. The integrands depend on a base point. We randomly vary the base point repeatedly, and look at the average behavior. Because the base point moves, the value of the exact integral changes on each repetition! Number of repetitions = 100 Average Maximum Average Maximum Integral Absolute Absolute Relative Relative Error Error Error % Error % 15 0.010650 0.040576 3.348413 13.527232 16 0.016793 0.046809 2.588445 6.954133 17 0.017107 0.017581 5.747724 9.919283 19 0.012493 0.066743 4.408766 21.786213 INTEGRAL_TEST_02: Normal conclusion. INTEGRAL_TEST_03 Using a set of points in [0,1]^N, approximate integrals from the TESTNINT set. Integrand J has the form: product ( 1 <= I <= J ) X(mod(I,N)+1) Problem Region Correct Estimated Absolute Relative Index Volume Integral Integral Error Error (%) 1 1.00000 1.00000 1.00000 0.00000 0.00000 2 1.00000 0.500000 0.500306 0.305653E-03 0.611305E-01 3 1.00000 0.250000 0.249941 0.586510E-04 0.234604E-01 4 1.00000 0.166667 0.161989 0.467813E-02 2.80688 5 1.00000 0.111111 0.104930 0.618100E-02 5.56290 6 1.00000 0.833333E-01 0.765355E-01 0.679779E-02 8.15735 7 1.00000 0.625000E-01 0.556952E-01 0.680483E-02 10.8877 8 1.00000 0.500000E-01 0.429528E-01 0.704716E-02 14.0943 9 1.00000 0.400000E-01 0.330352E-01 0.696479E-02 17.4120 10 1.00000 0.333333E-01 0.262672E-01 0.706609E-02 21.1983 INTEGRAL_TEST_03: Normal conclusion. INTEGRAL_TEST: Averaged relative error: 7.25500 INTEGRAL_TEST: Normal end of execution. August 26 2003 2:44:39.605 PM