07-Jan-2022 18:02:24 CIRCLE_INTEGRALS_TEST MATLAB/Octave version 9.8.0.1380330 (R2020a) Update 2. Test CIRCLE_INTEGRALS. circle_integrals_test01() Use CIRCLE01_SAMPLE to compare exact and estimated integrals along the circumference of the unit circle in 2D. Number of sample points used is 4192 If any exponent is odd, the integral is zero. We restrict this test to randomly chosen even exponents. Ex Ey MC-Estimate Exact Error 4 8 0.04287 0.0429515 8.15e-05 0 6 1.93816 1.9635 2.53e-02 0 4 2.33066 2.35619 2.55e-02 10 2 0.131661 0.128854 2.81e-03 2 10 0.126214 0.128854 2.64e-03 0 0 6.28319 6.28319 8.88e-16 6 2 0.251156 0.245437 5.72e-03 10 10 0.00153531 0.00151001 2.53e-05 8 0 1.71478 1.71806 3.28e-03 4 4 0.149374 0.147262 2.11e-03 10 6 0.00888802 0.00862864 2.59e-04 0 0 6.28319 6.28319 8.88e-16 8 4 0.044162 0.0429515 1.21e-03 10 8 0.00343853 0.00335558 8.29e-05 10 10 0.00153531 0.00151001 2.53e-05 8 4 0.044162 0.0429515 1.21e-03 0 0 6.28319 6.28319 8.88e-16 6 4 0.0753331 0.0736311 1.70e-03 8 6 0.0157109 0.0153398 3.71e-04 8 8 0.00682284 0.00671117 1.12e-04 CIRCLE_INTEGRALS_TEST Normal end of execution. 07-Jan-2022 18:02:25