August 26 2003 2:44:39.728 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_g.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_g.txt # created by VORONOI_WEIGHT_WRITE # at May 30 2003 1:11:57.496 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 UNIFORM. # Number of sample points = 100000000 # 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 1.14920 0.174639E-01 1.49691 2 1.00000 1.06667 0.815032 0.251635 23.5908 4 1.00000 2.28571 1.37968 0.906030 39.6388 6 1.00000 1.00000 0.854033 0.145967 14.5967 8 1.00000 0.500000 0.500248 0.247598E-03 0.495195E-01 9 1.00000 1.68336 1.67958 0.377989E-02 0.224545 10 1.00000 0.500000 0.459277 0.407230E-01 8.14460 11 1.00000 2.95249 2.72431 0.228181 7.72842 14 1.00000 -0.250000 -0.250040 0.404119E-04 0.161648E-01 15 1.00000 0.399576 0.439606 0.400297E-01 10.0180 16 1.00000 0.500000 0.459277 0.407230E-01 8.14460 17 1.00000 0.166667 0.149627 0.170392E-01 10.2235 18 1.00000 0.785398 0.831457 0.460588E-01 5.86439 19 1.00000 0.241265 0.254224 0.129593E-01 5.37140 24 1.00000 1.00000 0.854033 0.145967 14.5967 25 1.00000 1.08030 1.07994 0.352144E-03 0.325970E-01 26 1.00000 0.154818 0.154503 0.314698E-03 0.203269 28 1.00000 0.859876 0.870178 0.103012E-01 1.19798 30 1.00000 0.959521 0.963464 0.394309E-02 0.410943 31 1.00000 0.841679 0.794070 0.476081E-01 5.65633 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 0.010654 0.040491 3.350227 13.493476 16 0.016723 0.047334 2.577086 6.924255 17 0.017039 0.017180 5.725732 9.925002 19 0.012502 0.067081 4.411407 21.896593 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 0.499908 0.916421E-04 0.183284E-01 3 1.00000 0.250000 0.249868 0.132039E-03 0.528157E-01 4 1.00000 0.166667 0.161891 0.477567E-02 2.86540 5 1.00000 0.111111 0.104903 0.620817E-02 5.58735 6 1.00000 0.833333E-01 0.765105E-01 0.682287E-02 8.18744 7 1.00000 0.625000E-01 0.556894E-01 0.681062E-02 10.8970 8 1.00000 0.500000E-01 0.429495E-01 0.705054E-02 14.1011 9 1.00000 0.400000E-01 0.330380E-01 0.696201E-02 17.4050 10 1.00000 0.333333E-01 0.262707E-01 0.706264E-02 21.1879 INTEGRAL_TEST_03: Normal conclusion. INTEGRAL_TEST: Averaged relative error: 7.21962 INTEGRAL_TEST: Normal end of execution. August 26 2003 2:44:39.758 PM