C 代码 使用高斯-勒让德正交估计柯西主值 （CPV）的某些奇异积分.rar

19 January 2020 09:01:38 AM CPV_TEST C version Test the CPV library. CPV_TEST01: CPV of Integral ( -1 <= t <= 1 ) exp(t) / t dt N Estimate Error 2 2.112977728449278 0.00152402 4 2.114501718105385 3.26446e-08 6 2.114501750751336 1.33626e-12 8 2.114501750751458 1.4575e-12 CPV_TEST02: Compute CPV ( Integral ( 1-delta <= t <= 1+delta ) 1/(1-t)^3 dt ) Try this for delta = 1, 1/2, 1/4. N Estimate Exact Error 2 -0.7397260273972603 -0.7363873204868445 0.00333871 4 -0.7364116807468272 -0.7363873204868445 2.43603e-05 6 -0.7363867923558026 -0.7363873204868445 5.28131e-07 8 -0.7363873252791506 -0.7363873204868445 4.79231e-09 2 -0.3425852498017447 -0.3425632583544805 2.19914e-05 4 -0.3425633493215302 -0.3425632583544805 9.0967e-08 6 -0.342563258302464 -0.3425632583544805 5.20165e-11 8 -0.342563258354488 -0.3425632583544805 7.54952e-15 2 -0.1678240178701501 -0.1678238552950642 1.62575e-07 4 -0.1678238554770549 -0.1678238552950642 1.81991e-10 6 -0.1678238552950588 -0.1678238552950642 5.38458e-15 8 -0.1678238552950641 -0.1678238552950642 1.38778e-16 CPV_TEST Normal end of execution. 19 January 2020 09:01:38 AM