August 26 2003 2:44:44.959 PM INTEGRAL_TEST Test a file of sample points for use in equally weighted quadrature. The point data will be read from "cvt_02_00100.txt". The weight data will be read from "cvt_02_00100_weight_d.txt". The spatial dimension is 2 The number of points is 100 # cvt_02_00100.txt # created by CVT_DATASET # at April 11 2003 12:10:57.078 PM # # Spatial dimension M = 2 # Number of points N = 100 # # 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 = 0.007545 # The input data file has been read. # cvt_02_00100_weight_d.txt # created by VORONOI_WEIGHT_WRITE # at May 30 2003 1:12:25.618 PM # # Spatial dimension M = 2 # Number of points N = 100 # 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_00100.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 1.16532 0.134480E-02 0.115269 2 1.00000 1.06667 1.04076 0.259079E-01 2.42886 4 1.00000 2.28571 2.18294 0.102773 4.49631 6 1.00000 1.00000 0.991947 0.805277E-02 0.805277 8 1.00000 0.500000 0.500136 0.136137E-03 0.272274E-01 9 1.00000 1.68336 1.68312 0.236869E-03 0.140712E-01 10 1.00000 0.500000 0.497951 0.204861E-02 0.409722 11 1.00000 2.95249 2.93627 0.162265E-01 0.549588 14 1.00000 -0.250000 -0.249856 0.144243E-03 0.576973E-01 15 1.00000 0.399576 0.400986 0.140956E-02 0.352764 16 1.00000 0.500000 0.497951 0.204861E-02 0.409722 17 1.00000 0.166667 0.165129 0.153767E-02 0.922599 18 1.00000 0.785398 0.788121 0.272298E-02 0.346700 19 1.00000 0.241265 0.241005 0.259638E-03 0.107615 24 1.00000 1.00000 0.991947 0.805277E-02 0.805277 25 1.00000 1.08030 1.08028 0.191927E-04 0.177662E-02 26 1.00000 0.154818 0.154778 0.400245E-04 0.258526E-01 28 1.00000 0.859876 0.860781 0.904262E-03 0.105162 30 1.00000 0.959521 0.959874 0.353098E-03 0.367994E-01 31 1.00000 0.841679 0.906140 0.644618E-01 7.65872 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 0.000833 0.002449 0.265714 0.914214 16 0.001558 0.003180 0.240736 0.441131 17 0.001524 0.001845 0.513561 0.916105 19 0.001235 0.005174 0.422132 1.631226 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 0.119209E-06 0.119209E-04 2 1.00000 0.500000 0.499889 0.110775E-03 0.221550E-01 3 1.00000 0.250000 0.250033 0.333786E-04 0.133514E-01 4 1.00000 0.166667 0.166254 0.412539E-03 0.247523 5 1.00000 0.111111 0.110534 0.577115E-03 0.519403 6 1.00000 0.833333E-01 0.826591E-01 0.674263E-03 0.809115 7 1.00000 0.625000E-01 0.618227E-01 0.677343E-03 1.08375 8 1.00000 0.500000E-01 0.492672E-01 0.732802E-03 1.46560 9 1.00000 0.400000E-01 0.392672E-01 0.732828E-03 1.83207 10 1.00000 0.333333E-01 0.325684E-01 0.764906E-03 2.29472 INTEGRAL_TEST_03: Normal conclusion. INTEGRAL_TEST: Averaged relative error: 0.879965 INTEGRAL_TEST: Normal end of execution. August 26 2003 2:44:45.023 PM