C 代码 实现测试问题 一维近似积分或正交.rar

02 March 2022 02:53:37 PM TEST_INT_TEST C version Test the TEST_INT library. TEST01 Composite midpoint rule, for 1D finite interval problems. Prob Ints Exact Error Approx 1 1.71828 1 1.64872 0.0695606 2 1.70051 0.0177691 4 1.71382 0.00446655 8 1.71716 0.00111816 16 1.718 0.000279636 32 1.71821 6.99151e-05 64 1.71826 1.74791e-05 128 1.71828 4.36981e-06 2 0.7 1 1 0.3 2 0.5 0.2 4 0.75 0.05 8 0.75 0.05 16 0.6875 0.0125 32 0.6875 0.0125 64 0.703125 0.003125 128 0.703125 0.003125 3 0.666667 1 0.707107 0.0404401 2 0.683013 0.016346 4 0.672977 0.00631073 8 0.669032 0.00236551 16 0.667537 0.000870009 32 0.666983 0.00031602 64 0.666781 0.000113837 128 0.666707 4.0774e-05 4 0.479428 1 -0.16 0.639428 2 0.319667 0.159762 4 0.439407 0.0400208 8 0.469417 0.0100116 16 0.476925 0.00250332 32 0.478802 0.000625856 64 0.479272 0.000156466 128 0.479389 3.91165e-05 5 1.58223 1 2.22222 0.639989 2 1.64948 0.0672516 4 1.5969 0.0146717 8 1.58594 0.00370973 16 1.58316 0.000928631 32 1.58247 0.000232219 64 1.58229 5.80584e-05 128 1.58225 1.45148e-05 6 1.46045 1 0 1.46045 2 1 0.460447 4 0.5 0.960447 8 0.5 0.960447 16 0.5 0.960447 32 0.5 0.960447 64 0.5 0.960447 128 0.5 0.960447 7 2 1 1.41421 0.585786 2 1.57735 0.42265 4 1.69884 0.301156 8 1.78646 0.213539 16 1.84886 0.151143 32 1.89309 0.106912 64 1.92439 0.0756072 128 1.94654 0.0534647 8 0.866973 1 0.941176 0.0742035 2 0.877876 0.0109034 4 0.869605 0.00263242 8 0.867626 0.000652821 16 0.867136 0.000162872 32 0.867014 4.06971e-05 64 0.866983 1.0173e-05 128 0.866976 2.54316e-06 9 1.1547 1 1 0.154701 2 1.33333 0.178633 4 1.14286 0.0118434 8 1.15464 6.13631e-05 16 1.1547 1.63057e-09 32 1.1547 0 64 1.1547 6.66134e-16 128 1.1547 2.22045e-16 10 0.693147 1 0.666667 0.0264805 2 0.685714 0.00743289 4 0.69122 0.00192729 8 0.692661 0.000486627 16 0.693025 0.000121966 32 0.693117 3.05111e-05 64 0.69314 7.62899e-06 128 0.693145 1.90732e-06 11 0.379885 1 0.377541 0.00234482 2 0.379322 0.000563093 4 0.379746 0.000139459 8 0.379851 3.47845e-05 16 0.379877 8.69113e-06 32 0.379883 2.17247e-06 64 0.379885 5.43098e-07 128 0.379885 1.35773e-07 12 0.777505 1 0.770747 0.00675759 2 0.775822 0.0016825 4 0.777084 0.000420201 8 0.7774 0.000105024 16 0.777478 2.62543e-05 32 0.777498 6.56347e-06 64 0.777503 1.64086e-06 128 0.777504 4.10215e-07 13 1.65835 1 -1.91785 3.5762 2 1.82228 0.16393 4 1.68215 0.0238016 8 1.66365 0.00530061 16 1.65964 0.00128888 32 1.65867 0.000320013 64 1.65843 7.98663e-05 128 1.65837 1.9958e-05 14 0.5 1 0 0.5 2 0 0.5 4 0 0.5 8 0 0.5 16 9.62434e-07 0.499999 32 0.047735 0.452265 64 0.423773 0.0762275 128 0.499966 3.40341e-05 15 1 1 1.29161e-52 1 2 8.98473e-26 1 4 1.67563e-12 1 8 5.1168e-06 0.999995 16 0.00632258 0.993677 32 0.157218 0.842782 64 0.565397 0.434603 128 0.857119 0.142881 16 0.499363 1 0.0254241 0.473939 2 0.0562605 0.443103 4 0.11675 0.382613 8 0.225744 0.273619 16 0.375544 0.123819 32 0.47602 0.0233431 64 0.493313 0.00605001 128 0.493635 0.0057288 17 0.5 1 2.41176e-31 0.5 2 1 0.5 4 0.5 9.99201e-16 8 0.5 8.88178e-16 16 0.5 4.996e-16 32 0.5 1.11022e-16 64 0.5 0 128 0.5 3.33067e-16 18 0.170557 1 0.18877 0.018213 2 0.175036 0.00447858 4 0.171673 0.00111519 8 0.170836 0.000278523 16 0.170627 6.96135e-05 32 0.170575 1.74023e-05 64 0.170562 4.35051e-06 128 0.170558 1.08762e-06 19 -1 1 -0.693147 0.306853 2 -0.836988 0.163012 4 -0.915951 0.0840485 8 -0.957329 0.0426712 16 -0.978502 0.0214981 32 -0.98921 0.0107897 64 -0.994595 0.00540504 128 -0.997295 0.00270506 20 1.5644 1 1.99005 0.425653 2 1.59363 0.0292291 4 1.57473 0.0103302 8 1.56699 0.00259103 16 1.56504 0.000647799 32 1.56456 0.00016195 64 1.56444 4.04874e-05 128 1.5