Tue Oct 19 11:33:07 2021 disk_monte_carlo_test Python version: 3.6.9 Test disk_monte_carlo. disk_area_test Python version: 3.6.9 disk_area returns the area of the unit disk. ( CX CY ) R Area (-0.225091, 1.580753) 0.430742 0.582886 (-1.231589, 3.186587) 0.747576 1.755742 ( 0.583254, 0.027366) 0.447140 0.628110 (-1.701196,-4.860231) 0.364209 0.416727 ( 2.047836,-4.775277) 0.773816 1.881160 ( 2.975226, 2.215014) 0.933162 2.735671 ( 4.827939, 0.262834) 0.817541 2.099757 ( 0.921360,-4.528005) 0.224931 0.158946 ( 2.947225, 0.920745) 0.243672 0.186535 ( 0.776111,-0.691978) 0.067897 0.014483 disk_area_test Normal end of execution. disk_sample_test Python version: 3.6.9 Use disk_sample to estimate integrals in the disk with center (0,0) and radius 1 N 1 X^2 Y^2 X^4 X^2Y^2 Y^4 X^6 1 3.14159 0.0544949 0.369167 0.000945283 0.00640366 0.0433806 1.63971e-05 2 3.14159 0.321104 1.79503 0.0494423 0.152361 1.08386 0.00845143 4 3.14159 1.16403 0.441207 0.743015 0.11809 0.108454 0.552184 8 3.14159 0.544143 1.14167 0.201243 0.118496 0.706087 0.0987524 16 3.14159 0.863077 0.657835 0.423682 0.131204 0.271103 0.254355 32 3.14159 0.862669 0.670044 0.508235 0.093572 0.34358 0.350448 64 3.14159 0.663686 0.701426 0.355851 0.11508 0.285926 0.242248 128 3.14159 0.828252 0.73147 0.457799 0.0956683 0.38069 0.310763 256 3.14159 0.827878 0.773793 0.446096 0.130438 0.388026 0.305249 512 3.14159 0.773554 0.756342 0.380602 0.132092 0.359303 0.233683 1024 3.14159 0.785328 0.773686 0.395473 0.12795 0.375667 0.25099 2048 3.14159 0.785125 0.789718 0.388195 0.13156 0.396274 0.241264 4096 3.14159 0.783276 0.773441 0.390256 0.12856 0.383738 0.242757 8192 3.14159 0.785901 0.789565 0.398092 0.128294 0.396394 0.251859 16384 3.14159 0.784435 0.781766 0.390391 0.13061 0.390135 0.243824 32768 3.14159 0.786738 0.784472 0.391643 0.13117 0.390944 0.243629 65536 3.14159 0.785452 0.782563 0.392733 0.130548 0.390714 0.245482 Exact 3.14159 0.785398 0.785398 0.392699 0.1309 0.392699 0.245437 disk01_sample_test Normal end of execution. disk_sample_test Python version: 3.6.9 Use disk_sample to estimate integrals in the disk with center (1,0) and radius 1 N 1 X^2 Y^2 X^4 X^2Y^2 Y^4 X^6 1 3.14159 3.90232 0.468332 4.84725 0.581737 0.0698165 6.021 2 3.14159 5.10119 0.876567 12.1345 2.0963 0.36217 32.2111 4 3.14159 2.82633 1.09613 4.16223 0.502282 0.726179 7.12199 8 3.14159 3.03488 0.839669 4.55116 0.840412 0.381262 7.71738 16 3.14159 4.88784 0.790463 11.5763 0.965531 0.364294 33.1392 32 3.14159 3.34886 0.543205 6.38091 0.642585 0.210648 14.8479 64 3.14159 4.01926 0.884918 8.27112 1.1134 0.44441 19.8169 128 3.14159 3.75363 0.844248 7.88371 0.9071 0.428118 20.4296 256 3.14159 3.95726 0.787934 8.70283 0.88705 0.402828 23.3014 512 3.14159 4.0826 0.788119 8.86871 0.917309 0.400507 23.2725 1024 3.14159 3.93689 0.810874 8.11331 0.929318 0.411058 20.2424 2048 3.14159 3.98815 0.813945 8.52753 0.952593 0.414161 22.0993 4096 3.14159 3.98911 0.788569 8.36755 0.937754 0.393238 21.2495 8192 3.14159 3.88981 0.780357 8.1778 0.911195 0.387717 20.9245 16384 3.14159 3.88985 0.787697 8.07172 0.91731 0.389957 20.3434 32768 3.14159 3.93767 0.779761 8.28763 0.908698 0.386647 21.1952 65536 3.14159 3.94109 0.7801 8.30321 0.914393 0.389772 21.2381 disk01_sample_test Normal end of execution. disk_sample_test Python version: 3.6.9 Use disk_sample to estimate integrals in the disk with center (1,2) and radius 3 N 1 X^2 Y^2 X^4 X^2Y^2 Y^4 X^6 1 28.2743 89.3132 2.83492 282.123 8.95496 0.284243 891.172 2 28.2743 123.713 214.57 1081.67 504.708 1977.11 9461.57 4 28.2743 55.0878 46.3389 189.268 50.374 109.48 701.697 8 28.2743 107.102 63.9223 782.226 331.833 267.704 7394.73 16 28.2743 44.0606 175.355 138.508 273.208 2113.04 520.835 32 28.2743 107.634 150.722 920.447 410.757 1694.14 9606.5 64 28.2743 97.0587 195.053 746.464 573.136 2650.41 7247.29 128 28.2743 92.2965 170.437 691.713 560.596 2143.91 6759.76 256 28.2743 85.6441 162.394 602.344 472.782 2012.76 5704.09 512 28.2743 84.2559 185.448 621.595 520.001 2390.84 6222.25 1024 28.2743 96.9765 180.632 767.59 562.734 2288.39 7852.36 2048 28.2743 91.6478 173.655 704.666 500.866 2237.18 7064.4 4096 28.2743 92.8884 174.847 706.73 532.323 2237.69 7029.7 8192 28.2743 92.323 172.661 698.332 521.382 2197.34 6914.12 16384 28.2743 91.5099 172.365 696.97 513.679 2195.25 6924.74 32768 28.2743 91.1085 176.641 687.319 528.647 2267.77 6778.74 65536 28.2743 91.6124 176.667 692.85 524.505 2274.02 6847.35 disk01_sample_test Normal end of execution. disk_monte_carlo_test: Normal end of execution. Tue Oct 19 11:33:11 2021