August 26 2003 2:44:39.649 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_f.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_f.txt # created by VORONOI_WEIGHT_WRITE # at May 30 2003 1:11:09.556 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 GRID. # 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 1.14912 0.175507E-01 1.50435 2 1.00000 1.06667 0.814896 0.251771 23.6035 4 1.00000 2.28571 1.37940 0.906316 39.6513 6 1.00000 1.00000 0.853874 0.146126 14.6126 8 1.00000 0.500000 0.500218 0.218451E-03 0.436902E-01 9 1.00000 1.68336 1.67955 0.381172E-02 0.226435 10 1.00000 0.500000 0.459207 0.407934E-01 8.15868 11 1.00000 2.95249 2.72402 0.228472 7.73828 14 1.00000 -0.250000 -0.250010 0.989437E-05 0.395775E-02 15 1.00000 0.399576 0.439685 0.401087E-01 10.0378 16 1.00000 0.500000 0.459207 0.407934E-01 8.15868 17 1.00000 0.166667 0.149601 0.170652E-01 10.2391 18 1.00000 0.785398 0.831504 0.461059E-01 5.87038 19 1.00000 0.241265 0.254202 0.129371E-01 5.36221 24 1.00000 1.00000 0.853874 0.146126 14.6126 25 1.00000 1.08030 1.07994 0.356436E-03 0.329943E-01 26 1.00000 0.154818 0.154506 0.312448E-03 0.201816 28 1.00000 0.859876 0.870200 0.103233E-01 1.20056 30 1.00000 0.959521 0.963471 0.394940E-02 0.411601 31 1.00000 0.841679 0.794394 0.472848E-01 5.61792 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 0.010657 0.040546 3.351028 13.485004 16 0.016749 0.047387 2.581391 6.933758 17 0.017063 0.017238 5.733874 9.943167 19 0.012504 0.067101 4.412575 21.903164 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 0.596046E-07 0.596046E-05 2 1.00000 0.500000 0.499865 0.135243E-03 0.270486E-01 3 1.00000 0.250000 0.249855 0.145108E-03 0.580430E-01 4 1.00000 0.166667 0.161867 0.479974E-02 2.87984 5 1.00000 0.111111 0.104894 0.621697E-02 5.59527 6 1.00000 0.833333E-01 0.764995E-01 0.683381E-02 8.20057 7 1.00000 0.625000E-01 0.556854E-01 0.681457E-02 10.9033 8 1.00000 0.500000E-01 0.429451E-01 0.705492E-02 14.1098 9 1.00000 0.400000E-01 0.330366E-01 0.696335E-02 17.4084 10 1.00000 0.333333E-01 0.262692E-01 0.706411E-02 21.1923 INTEGRAL_TEST_03: Normal conclusion. INTEGRAL_TEST: Averaged relative error: 7.22364 INTEGRAL_TEST: Normal end of execution. August 26 2003 2:44:39.679 PM