C 代码 实现测试问题 二维近似积分或正交.rar

26 February 2022 01:21:51 PM TEST_INT_2D_TEST C version Test the TEST_INT_2D library. TEST01 Use a Monte Carlo rule. Repeatedly multiply the number of points by 4. Problem Points Approx Error 1 1 1.26403 0.380908 1 4 1.29846 0.346477 1 16 1.37632 0.268611 1 64 1.62914 0.0157967 1 256 1.54327 0.101668 1 1024 1.55402 0.0909099 1 4096 1.60923 0.035706 1 16384 1.61734 0.0275979 1 65536 1.63856 0.00637087 1 262144 1.64729 0.0023584 1 1048576 1.6423 0.00263597 1 4194304 1.64523 0.000298621 1 Exact 1.64493 2 1 4.66302 0.307851 2 4 4.2603 0.0948673 2 16 4.50093 0.145763 2 64 4.40727 0.0520954 2 256 4.34709 0.0080832 2 1024 4.338 0.01717 2 4096 4.35246 0.00271344 2 16384 4.33908 0.0160903 2 65536 4.34801 0.00715782 2 262144 4.35173 0.00344431 2 1048576 4.35369 0.00148655 2 4194304 4.35495 0.00022045 2 Exact 4.35517 3 1 3.1135 0.0106969 3 4 2.81187 0.312328 3 16 2.86675 0.257443 3 64 3.14477 0.0205784 3 256 3.09116 0.033034 3 1024 3.07976 0.0444332 3 4096 3.11078 0.0134109 3 16384 3.10808 0.0161134 3 65536 3.11703 0.007162 3 262144 3.12249 0.00170326 3 1048576 3.12273 0.00146668 3 4194304 3.12473 0.000535907 3 Exact 3.12419 4 1 3.03423 0.455222 4 4 2.34632 0.232688 4 16 2.35874 0.220272 4 64 2.60212 0.0231123 4 256 2.56616 0.0128448 4 1024 2.54317 0.0358344 4 4096 2.56569 0.0133208 4 16384 2.56366 0.0153509 4 65536 2.5727 0.00630556 4 262144 2.57723 0.00177749 4 1048576 2.57724 0.00176309 4 4194304 2.57916 0.000153436 4 Exact 2.57901 5 1 0.457031 0.0125865 5 4 0.368406 0.0760383 5 16 0.353274 0.0911704 5 64 0.44051 0.00393405 5 256 0.448441 0.00399624 5 1024 0.4399 0.00454452 5 4096 0.44378 0.00066429 5 16384 0.442074 0.00237054 5 65536 0.442861 0.00158349 5 262144 0.44382 0.000624366 5 1048576 0.444272 0.000172251 5 4194304 0.444546 0.000101923 5 Exact 0.444444 6 1 3.60022 1.73721 6 4 2.2249 0.361883 6 16 2.49066 0.627648 6 64 2.06812 0.2051 6 256 1.85054 0.0124787 6 1024 1.85653 0.00648603 6 4096 1.87415 0.0111309 6 16384 1.85097 0.0120421 6 65536 1.85589 0.00712474 6 262144 1.86077 0.0022448 6 1048576 1.86139 0.00162291 6 4194304 1.86276 0.000260619 6 Exact 1.86302 7 1 0.859011 0.325677 7 4 0.587914 0.0545802 7 16 0.570619 0.0372861 7 64 0.544216 0.0108823 7 256 0.542229 0.00889605 7 1024 0.546642 0.0133086 7 4096 0.534673 0.00133945 7 16384 0.532435 0.000898429 7 65536 0.533709 0.000375917 7 262144 0.532937 0.000396811 7 1048576 0.533382 4.88628e-05 7 4194304 0.533244 8.93102e-05 7 Exact 0.533333 8 1 3.27331e-09 2.66686 8 4 0.334292 2.33256 8 16 2.78919 0.122338 8 64 2.07469 0.592168 8 256 2.41847 0.248381 8 1024 2.77749 0.110636 8 4096 2.71912 0.0522608 8 16384 2.68242 0.0155629 8 65536 2.66255 0.00430425 8 262144 2.66945 0.00259724 8 1048576 2.67681 0.00995579 8 4194304 2.6694 0.00254531 8 Exact 2.66686 TEST02 Use a product of composite midpoint rules.. Repeatedly multiply the number of points by 4. Problem Points Approx Error 1 1 1.33333 0.311601 1 4 1.45348 0.191454 1 16 1.53772 0.107218 1 64 1.58771 0.0572219 1 256 1.61522 0.0297147 1 1024 1.62975 0.0151861 1 4096 1.63725 0.00768884 1 16384 1.64106 0.00387183 1 65536 1.64299 0.00194364 1 262144 1.64396 0.000973972 1 1048576 1.64445 0.000487579 1 4194304 1.64469 0.000243951 1 Exact 1.64493 2 1 4 0.355172 2 4 4.13118 0.22399 2 16 4.24756 0.107616 2 64 4.3087 0.0464758 2 256 4.33633 0.0188448 2 1024 4.34784 0.00732937 2 4096 4.3524 0.00277035 2 16384 4.35415 0.00102654 2 65536 4.3548 0.000375125 2 262144 4.35504 0.00013575 2 1048576 4.35512 4.87891e-05 2 4194304 4.35515 1.74506e-05 2 Exact 4.35517 3 1 2.82843 0.295767 3 4 2.99156 0.132631 3 16 3.06968 0.0545143 3 64 3.10297 0.0212282 3 256 3.1162 0.00799722 3 1024 3.12124 0.00295064 3 4096 3.12312 0.00107402 3 16384 3.12381 0.000387428 3 65536 3.12406 0.000138903 3 262144 3.12414 4.9591e-05 3 1048576 3.12418 1.76534e-05