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A Swift-based calculator for the digits of Pi (π), currently hardlimited to a maximum of 10,000 — although this can be easily changed in the storyboard slider limits. This demo uses a Machin-based Pi calculation, except that it uses the Integer package's infinite-sized integers to get as many digits as we want. It still computes the formula: pi …

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Digits of Pi (π)

A Swift-based calculator for the digits of Pi (π), currently hardlimited to a maximum of 10,000 — although this can be easily changed in the storyboard slider limits. This demo uses a Machin-based Pi calculation, except that it uses the Integer package's infinite-sized integers to get as many digits as we want. It still computes the formula: pi = 4 * (4 * arccot(5) - arccot(239)).

The user interface is very simple with a slider to control the number of pi digits. Calculations are performed in a background task so the slider motion is not affected during the calculations.

Here it is:

Pi App

The first 10,000 digits (spoiler alert) are:

π = 
3.1415 92653 58979 32384 62643 38327 95028 84197 16939 93751 05820 97494 45923 07816 40628 62089 98628 
 03482 53421 17067 98214 80865 13282 30664 70938 44609 55058 22317 25359 40812 84811 17450 28410 27019 
 38521 10555 96446 22948 95493 03819 64428 81097 56659 33446 12847 56482 33786 78316 52712 01909 14564 
 85669 23460 34861 04543 26648 21339 36072 60249 14127 37245 87006 60631 55881 74881 52092 09628 29254 
 09171 53643 67892 59036 00113 30530 54882 04665 21384 14695 19415 11609 43305 72703 65759 59195 30921 
 86117 38193 26117 93105 11854 80744 62379 96274 95673 51885 75272 48912 27938 18301 19491 29833 67336 
 24406 56643 08602 13949 46395 22473 71907 02179 86094 37027 70539 21717 62931 76752 38467 48184 67669 
 40513 20005 68127 14526 35608 27785 77134 27577 89609 17363 71787 21468 44090 12249 53430 14654 95853 
 71050 79227 96892 58923 54201 99561 12129 02196 08640 34418 15981 36297 74771 30996 05187 07211 34999 
 99983 72978 04995 10597 31732 81609 63185 95024 45945 53469 08302 64252 23082 53344 68503 52619 31188 
 17101 00031 37838 75288 65875 33208 38142 06171 77669 14730 35982 53490 42875 54687 31159 56286 38823 
 53787 59375 19577 81857 78053 21712 26806 61300 19278 76611 19590 92164 20198 93809 52572 01065 48586 
 32788 65936 15338 18279 68230 30195 20353 01852 96899 57736 22599 41389 12497 21775 28347 91315 15574 
 85724 24541 50695 95082 95331 16861 72785 58890 75098 38175 46374 64939 31925 50604 00927 70167 11390 
 09848 82401 28583 61603 56370 76601 04710 18194 29555 96198 94676 78374 49448 25537 97747 26847 10404 
 75346 46208 04668 42590 69491 29331 36770 28989 15210 47521 62056 96602 40580 38150 19351 12533 82430 
 03558 76402 47496 47326 39141 99272 60426 99227 96782 35478 16360 09341 72164 12199 24586 31503 02861 
 82974 55570 67498 38505 49458 85869 26995 69092 72107 97509 30295 53211 65344 98720 27559 60236 48066 
 54991 19881 83479 77535 66369 80742 65425 27862 55181 84175 74672 89097 77727 93800 08164 70600 16145 
 24919 21732 17214 77235 01414 41973 56854 81613 61157 35255 21334 75741 84946 84385 23323 90739 41433 
 34547 76241 68625 18983 56948 55620 99219 22218 42725 50254 25688 76717 90494 60165 34668 04988 62723 
 27917 86085 78438 38279 67976 68145 41009 53883 78636 09506 80064 22512 52051 17392 98489 60841 28488 
 62694 56042 41965 28502 22106 61186 30674 42786 22039 19494 50471 23713 78696 09563 64371 91728 74677 
 64657 57396 24138 90865 83264 59958 13390 47802 75900 99465 76407 89512 69468 39835 25957 09825 82262 
 05224 89407 72671 94782 68482 60147 69909 02640 13639 44374 55305 06820 34962 52451 74939 96514 31429 
 80919 06592 50937 22169 64615 15709 85838 74105 97885 95977 29754 98930 16175 39284 68138 26868 38689 
 42774 15599 18559 25245 95395 94310 49972 52468 08459 87273 64469 58486 53836 73622 26260 99124 60805 
 12438 84390 45124 41365 49762 78079 77156 91435 99770 01296 16089 44169 48685 55848 40635 34220 72225 
 82848 86481 58456 02850 60168 42739 45226 74676 78895 25213 85225 49954 66672 78239 86456 59611 63548 
 86230 57745 64980 35593 63456 81743 24112 51507 60694 79451 09659 60940 25228 87971 08931 45669 13686 
 72287 48940 56010 15033 08617 92868 09208 74760 91782 49385 89009 71490 96759 85261 36554 97818 93129 
 78482 16829 98948 72265 88048 57564 01427 04775 55132 37964 14515 23746 23436 45428 58444 79526 58678 
 21051 14135 47357 39523 11342 71661 02135 96953 62314 42952 48493 71871 10145 76540 35902 79934 40374 
 20073 10578 53906 21983 87447 80847 84896 83321 44571 38687 51943 50643 02184 53191 04848 10053 70614 
 68067 49192 78191 19793 99520 61419 66342 87544 40643 74512 37181 92179 99839 10159 19561 81467 51426 
 91239 74894 09071 86494 23196 15679 45208 09514 65502 25231 60388 19301 42093 76213 78559 56638 93778 
 70830 39069 79207 73467 22182 56259 96615 01421 50306 80384 47734 54920 26054 14665 92520 14974 42850 
 73251 86660 02132 43408 81907 10486 33173 46496 51453 90579 62685 61005 50810 66587 96998 16357 47363 
 84052 57145 91028 97064 14011 09712 06280 43903 97595 15677 15770 04203 37869 93600 72305 58763 17635 
 94218 73125 14712 05329 28191 82618 61258 67321 57919 84148 48829 16447 06095 75270 69572 20917 56711 
 67229 10981 69091 52801 73506 71274 85832 22871 83520 93539 65725 12108 35791 51369 88209 14442 10067 
 51033 46711 03141 26711 13699 08658 51639 83150 19701 65151 16851 71437 65761 83515 56508 84909 98985 
 99823 87345 52833 16355 07647 91853 58932 26185 48963 21329 33089 85706 42046 75259 07091 54814 16549 
 85946 16371 80270 98199 43099 24488 95757 12828 90592 32332 60972 99712 08443 35732 65489 38239 11932 
 59746 36673 05836 04142 81388 30320 38249 03758 98524 37441 70291 32765 61809 37734 44030 70746 92112 
 01913 02033 03801 97621 10110 04492 93215 16084 24448 59637 66983 89522 86847 83123 55265 82131 44957 
 68572 62433 44189 30396 86426 24341 07732 26978 02807 31891 54411 01044 68232 52716 20105 26522 72111 
 66039 66655 73092 54711 05578 53763 46682 06531 09896 52691 86205 64769 31257 05863 56620 18558 10072 
 93606 59876 48611 79104 53348 85034 61136 57686 75324 94416 68039 62657 97877 18556 08455 29654 12665 
 40853 06143 44431 85867 69751 45661 40680 07002 37877 65913 44017 12749 47042 05622 30538 99456 13140 
 71127 00040 78547 33269 93908 14546 64645 88079 72708 26683 06343 28587 85698 30523 58089 33065 75740 
 67954 57163 77525 42021 14955 76158 14002 50126 22859 41302 16471 55097 92592 30990 79654 73761 25517 
 65675 13575 17829 66645 47791 74501 12996 14890 30463 99471 32962 10734 04375 18957 35961 45890 19389 
 71311 17904 29782 85647 50320 31986 91514 02870 80859 90480 10941 21472 21317 94764 77726 22414 25485 
 45403 32157 18530 61422 88137 58504 30633 21751 82979 86622 37172 15916 07716 69254 74873 89866 54949 
 45011 46540 62843 36639 37900 39769 26567 21463 85306 73609 65712 09180 76383 27166 41627 48888 00786 
 92560 29022 84721 04031 72118 60820 41900 04229 66171 19637 79213 37575 11495 95015 66049 63186 29472 
 65473 64252 30817 70367 51590 67350 23507 28354 05670 40386 74351 36222 24771 58915 04953 09844 48933 
 30963 40878 07693 25993 97805 41934 14473 77441 84263 12986 08099 88868 74132 60472 15695 16239 65864 
 57302 16315 98193 19516 73538 12974 16772 94786 72422 92465 43668 00980 67692 82382 80689 96400 48243 
 54037 01416 31496 58979 40924 32378 96907 06977 94223 62508 22168 89573 83798 62300 15937 76471 65122 
 89357 86015 88161 75578 29735 23344 60428 15126 27203 73431 46531 97777 41603 19906 65541 87639 79293 
 34419 52154 13418 99485 44473 45673 83162 49934 19131 81480 92777 71038 63877 34317 72075 45654 53220 
 77709 21201 90516 60962 80490 92636 01975 98828 16133 23166 63652 86193 26686 33606 27356 76303 54477 
 62803 50450 77723 55471 05859 54870 27908 14356 24014 51718 06246 43626 79456 12753 18134 07833 03362 
 54232 78394 49753 82437 20583 53114 77119 92606 38133 46776 87969 59703 09833 91307 71098 70408 59133 
 74641 44282 27726 34659 47047 45878 47787 20192 77152 80731 76790 77071 57213 44473 06057 00733 49243 
 69311 38350 49316 31284 04251 21925 65179 80694 11352 80131 47013 04781 64378 85185 29092 85452 01165 
 83934 19656 21349 14341 59562 58658 65570 55269 04965 20985 80338 50722 42648 29397 28584 78316 30577 
 77560 68887 64462 48246 85792 60395 35277 34803 04802 90058 76075 82510 47470 91643 96136 26760 44925 
 62742 04208 32085 66119 06254 54337 21315 35958 45068 77246 02901 61876 67952 40616 34252 25771 95429 
 16299 19306 45537 79914 03734 04328 75262 88896 39958 79475 72917 46426 35745 52540 79091 45135 71113 
 69410 91193 93251 91076 02082 52026 18798 53188 77058 42972 59167 78131 49699 00901 92116 97173 72784 
 76847 26860 84900 33770 24242 91651 30050 05168 32336 43503 89517 02989 39223 34517 22013 81280 69650 
 11784 40874 51960 12122 85993 71623 13017 11444 84640 90389 06449 54440 06198 69075 48516 02632 75052 
 98349 18740 78668 08818 33851 02283 34508 50486 08250 39302 13321 97155 18430 63545 50076 68282 94930 
 41377 65527 93975 17546 13953 98468 33936 38304 74611 99665 38581 53842 05685 33862 18672 52334 02830 
 87112 32827 89212 50771 26294 63229 56398 98989 35821 16745 62701 02183 56462 20134 96715 18819 09730 
 38119 80049 73407 23961 03685 40664 31939 50979 01906 99639 55245 30054 50580 68550 19567 30229 21913 
 93391 85680 34490 39820 59551 00226 35353 61920 41994 74553 85938 10234 39554 49597 78377 90237 42161 
 72711 17236 43435 43947 82218 18528 62408 51400 66604 43325 88856 98670 54315 47069 65747 45855 03323 
 23342 10730 15459 40516 55379 06866 27333 79958 51156 25784 32298 82737 23198 98757 14159 57811 19635 
 83300 59408 73068 12160 28764 96286 74460 47746 49159 95054 97374 25626 90104 90377 81986 83593 81465 
 74126 80492 56487 98556 14537 23478 67330 39046 88383 43634 65537 94986 41927 05638 72931 74872 33208 
 37601 12302 99113 67938 62708 94387 99362 01629 51541 33714 24892 83072 20126 90147 54668 47653 57616 
 47737 94675 20049 07571 55527 81965 36213 23926 40616 01363 58155 90742 20202 03187 27760 52772 19005 
 56148 42555 18792 53034 35139 84425 32234 15762 33610 64250 63904 97500 86562 71095 35919 46589 75141 
 31034 82276 93062 47435 36325 69160 78154 78181 15284 36679 57061 10861 53315 04452 12747 39245 44945 
 42368 28860 61340 84148 63776 70096 12071 51249 14043 02725 38607 64823 63414 33462 35189 75766 45216 
 41376 79690 31495 01910 85759 84423 91986 29164 21939 94907 23623 46468 44117 39403 26591 84044 37805 
 13338 94525 74239 95082 96591 22850 85558 21572 50310 71257 01266 83024 02929 52522 01187 26767 56220 
 41542 05161 84163 48475 65169 99811 61410 10029 96078 38690 92916 03028 84002 69104 14079 28862 15078 
 42451 67090 87000 69928 21206 60418 37180 65355 67252 53256 75328 61291 04248 77618 25829 76515 79598 
 47035 62226 29348 60034 15872 29805 34989 65022 62917 48788 20273 42092 22245 33985 62647 66914 90556 
 28425 03912 75771 02840 27998 06636 58254 88926 48802 54566 10172 96702 66407 65590 42909 94568 15065 
 26530 53718 29412 70336 93137 85178 60904 07086 67114 96558 34343 47693 38578 17113 86455 87367 81230 
 14587 68712 66034 89139 09562 00993 93610 31029 16161 52881 38437 90990 42317 47336 39480 45759 31493 
 14052 97634 75748 11935 67091 10137 75172 10080 31559 02485 30906 69203 76719 22033 22909 43346 76851 
 42214 47737 93937 51703 44366 19910 40337 51117 35471 91855 04644 90263 65512 81622 88244 62575 91633 
 30391 07225 38374 21821 40883 50865 73917 71509 68288 74782 65699 59957 44906 61758 34413 75223 97096 
 83408 00535 59849 17541 73818 83999 44697 48676 26551 65827 65848 35884 53142 77568 79002 90951 70283 
 52971 63445 62129 64043 52311 76006 65101 24120 06597 55851 27617 85838 29204 19748 44236 08007 19304 
 57618 93234 92292 79650 19875 18721 27267 50798 12554 70958 90455 63579 21221 03334 66974 99235 63025 
 49478 02490 11419 52123 82815 30911 40790 73860 25152 27429 95818 07247 16259 16685 45133 31239 48049 
 47079 11915 32673 43028 24418 60414 26363 95480 00448 00267 04962 48201 79289 64766 97583 18327 13142 
 51702 96923 48896 27668 44032 32609 27524 96035 79964 69256 50493 68183 60900 32380 92934 59588 97069 
 53653 49406 03402 16654 43755 89004 56328 82250 54525 56405 64482 46515 18754 71196 21844 39658 25337 
 54388 56909 41130 31509 52617 93780 02974 12076 65147 93942 59029 89695 94699 55657 61218 65619 67337 
 86236 25612 52163 20862 86922 21032 74889 21865 43648 02296 78070 57656 15144 63204 69279 06821 20738 
 83778 14233 56282 36089 63208 06822 24680 12248 26117 71858 96381 40918 39036 73672 22088 83215 13755 
 60037 27983 94004 15297 00287 83076 67094 44745 60134 55641 72543 70906 97939 61225 71429 89467 15435 
 78468 78861 44458 12314 59357 19849 22528 47160 50492 21242 47014 12147 80573 45510 50080 19086 99603 
 30276 34787 08108 17545 01193 07141 22339 08663 93833 95294 25786 90507 64310 06383 51983 43893 41596 
 13185 43475 46495 56978 10382 93097 16465 14384 07007 07360 41123 73599 84345 22516 10507 02705 62352 
 66012 76484 83084 07611 83013 05279 32054 27462 86540 36036 74532 86510 57065 87488 22569 81579 36789 
 76697 42205 75059 68344 08697 35020 14102 06723 58502 00724 52256 32651 34105 59240 19027 42162 48439 
 14035 99895 35394 59094 40704 69120 91409 38700 12645 60016 23742 88021 09276 45793 10657 92295 52498 
 87275 84610 12648 36999 89225 69596 88159 20560 01016 55256 37567 85667 22719 2

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A Swift-based calculator for the digits of Pi (π), currently hardlimited to a maximum of 10,000 — although this can be easily changed in the storyboard slider limits. This demo uses a Machin-based Pi calculation, except that it uses the Integer package's infinite-sized integers to get as many digits as we want. It still computes the formula: pi …

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