August 26 2003 2:44:44.679 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_a.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_a.txt # created by VORONOI_WEIGHT_WRITE # at May 30 2003 1:12:18.313 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 UNIFORM. # Number of sample points = 10000 # 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 1.15619 0.104771E-01 0.898034 2 1.00000 1.06667 1.05816 0.850487E-02 0.797331 4 1.00000 2.28571 2.21368 0.720344E-01 3.15150 6 1.00000 1.00000 0.984600 0.153998E-01 1.53998 8 1.00000 0.500000 0.496600 0.340033E-02 0.680065 9 1.00000 1.68336 1.67869 0.466657E-02 0.277218 10 1.00000 0.500000 0.497401 0.259894E-02 0.519788 11 1.00000 2.95249 2.92925 0.232437E-01 0.787256 14 1.00000 -0.250000 -0.251045 0.104535E-02 0.418139 15 1.00000 0.399576 0.400908 0.133163E-02 0.333260 16 1.00000 0.500000 0.497401 0.259894E-02 0.519788 17 1.00000 0.166667 0.164828 0.183818E-02 1.10291 18 1.00000 0.785398 0.791300 0.590193E-02 0.751457 19 1.00000 0.241265 0.239276 0.198863E-02 0.824253 24 1.00000 1.00000 0.984600 0.153998E-01 1.53998 25 1.00000 1.08030 1.07978 0.515223E-03 0.476927E-01 26 1.00000 0.154818 0.155286 0.468209E-03 0.302425 28 1.00000 0.859876 0.860962 0.108600E-02 0.126297 30 1.00000 0.959521 0.959941 0.420034E-03 0.437754E-01 31 1.00000 0.841679 0.910353 0.686741E-01 8.15919 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 0.002377 0.005294 0.756502 2.256166 16 0.004147 0.007910 0.621428 1.134761 17 0.003086 0.007458 0.934083 1.937889 19 0.002437 0.006914 0.857708 2.347588 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 0.238419E-06 0.238419E-04 2 1.00000 0.500000 0.499605 0.394583E-03 0.789165E-01 3 1.00000 0.250000 0.248560 0.144000E-02 0.576001 4 1.00000 0.166667 0.165839 0.827521E-03 0.496513 5 1.00000 0.111111 0.109440 0.167113E-02 1.50402 6 1.00000 0.833333E-01 0.818139E-01 0.151943E-02 1.82331 7 1.00000 0.625000E-01 0.607962E-01 0.170379E-02 2.72607 8 1.00000 0.500000E-01 0.483030E-01 0.169699E-02 3.39399 9 1.00000 0.400000E-01 0.383101E-01 0.168993E-02 4.22482 10 1.00000 0.333333E-01 0.316380E-01 0.169538E-02 5.08613 INTEGRAL_TEST_03: Normal conclusion. INTEGRAL_TEST: Averaged relative error: 1.08292 INTEGRAL_TEST: Normal end of execution. August 26 2003 2:44:44.723 PM