The Computer Language
22.05 Benchmarks Game

pidigits Matz's Ruby program

source code

# The Computer Language Benchmarks Game
# https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
#
# contributed by Gabriele Renzi

class PiDigitSpigot 
 
    def initialize()
        @z = Transformation.new 1,0,0,1
        @x = Transformation.new 0,0,0,0
        @inverse = Transformation.new 0,0,0,0
    end

    def next!
        @y = @z.extract(3) 
        if safe? @y
            @z = produce(@y)
            @y
        else 
            @z = consume @x.next!() 
            next!()
        end
    end

    def safe?(digit)
        digit == @z.extract(4)
    end

    def produce(i)
        @inverse.qrst(10,-10*i,0,1).compose(@z)
    end

    def consume(a)
        @z.compose(a)
    end
end


class Transformation 
    attr_reader :q, :r, :s, :t
    def initialize (q, r, s, t)
        @q,@r,@s,@t,@k = q,r,s,t,0
    end
    
    def next!()
        @q = @k = @k + 1
        @r = 4 * @k + 2
        @s = 0
        @t = 2 * @k + 1
        self
    end

    def extract(j)
        (@q * j + @r) / (@s * j + @t)
    end
    
    def compose(a)
        self.class.new( @q * a.q,
                        @q * a.r + r * a.t,
                        @s * a.q + t * a.s,
                        @s * a.r + t * a.t
                    ) 
    end
    
    def qrst *args
        initialize *args
        self
    end

    
end


WIDTH = 10
n = Integer(ARGV[0])
j = 0

digits = PiDigitSpigot.new

while n > 0
    if n >= WIDTH
        WIDTH.times {print digits.next!}
        j += WIDTH
    else 
        n.times {print digits.next!}
        (WIDTH-n).times {print " "} 
        j += n
    end
    puts "\t:"+j.to_s
    n -= WIDTH
end

    

notes, command-line, and program output

NOTES:
64-bit Ubuntu quad core
ruby 1.8.7 
(2008-08-11
patchlevel 72)
[x86_64-linux]
 
So old that I haven't been
able to get rubygems to work
no backport, no gmp


Sun, 28 Feb 2021 06:19:37 GMT

COMMAND LINE:
/opt/src/ruby-1.8.7/bin/ruby  pidigits.mri 2000

UNEXPECTED OUTPUT 

1,200c1,200
< 3141579504	:10
< 7971560865	:20
< 3932498281	:30
< 9948363567	:40
< 2441292084	:50
< 8433609571	:60
< 1820060752	:70
< 7313191240	:80
< 4020875881	:90
< 2496930186	:100
< 7803176647	:110
< 3190304064	:120
< 0257726079	:130
< 9398524590	:140
< 9095149241	:150
< 9285069262	:160
< 0309384353	:170
< 2724425794	:180
< 5368635908	:190
< 4507402617	:200
< 8747213483	:210
< 0757910764	:220
< 9720722144	:230
< 4078178784	:240
< 2625867525	:250
< 6125691360	:260
< 0275371943	:270
< 8737302983	:280
< 2686062784	:290
< 2874004613	:300
< 0429924801	:310
< 3402878955	:320
< 4644086976	:330
< 8750791730	:340
< 4338889585	:350
< 0938521171	:360
< 2725485780	:370
< 0712436958	:380
< 0414296422	:390
< 4104181367	:400
< 0860779048	:410
< 8667091079	:420
< 0869733847	:430
< 0183798277	:440
< 9674003045	:450
< 0770944152	:460
< 1334857714	:470
< 0790845330	:480
< 6274435276	:490
< 4703801061	:500
< 1764948304	:510
< 8041497106	:520
< 1522190195	:530
< 0353510117	:540
< 4705772108	:550
< 9579987496	:560
< 9352811508	:570
< 3215549539	:580
< 4608947752	:590
< 6300070587	:600
< 8608800697	:610
< 7953956048	:620
< 8782490723	:630
< 1515085556	:640
< 0102398355	:650
< 5100095282	:660
< 5742542074	:670
< 9290111263	:680
< 4284284276	:690
< 6083177960	:700
< 4671239806	:710
< 4567705023	:720
< 6292692117	:730
< 1144496588	:740
< 1070955661	:750
< 3762052739	:760
< 8522979898	:770
< 7995713028	:780
< 8750922156	:790
< 6070665712	:800
< 8574232039	:810
< 8781792732	:820
< 6856219834	:830
< 1679403550	:840
< 4263691979	:850
< 6084129820	:860
< 6120014715	:870
< 0580387248	:880
< 2756286444	:890
< 3195192787	:900
< 4659813324	:910
< 9121226568	:920
< 1368116160	:930
< 4210016656	:940
< 5787527492	:950
< 5886494880	:960
< 3885398939	:970
< 0853503147	:980
< 2658563811	:990
< 2978709753	:1000
< 5493750791	:1010
< 5406110388	:1020
< 3035825145	:1030
< 7551574971	:1040
< 8024562130	:1050
< 6542670574	:1060
< 5716916570	:1070
< 2890409953	:1080
< 2717070219	:1090
< 1695155045	:1100
< 7252543541	:1110
< 0343660783	:1120
< 9227075261	:1130
< 4903418240	:1140
< 7873365105	:1150
< 7052102154	:1160
< 5176731613	:1170
< 0317333334	:1180
< 8327618906	:1190
< 2968293382	:1200
< 5137404644	:1210
< 6484656130	:1220
< 3845850411	:1230
< 0038638940	:1240
< 9166378146	:1250
< 9125097682	:1260
< 5636646771	:1270
< 1367679400	:1280
< 4278720386	:1290
< 8713886301	:1300
< 4467208204	:1310
< 3632975816	:1320
< 0712667485	:1330
< 1351965186	:1340
< 7910426360	:1350
< 5648960242	:1360
< 8309809510	:1370
< 8799945030	:1380
< 4595807791	:1390
< 3788964888	:1400
< 4866918178	:1410
< 2480915090	:1420
< 2877933897	:1430
< 6551821432	:1440
< 1433431192	:1450
< 1182020023	:1460
< 1650159618	:1470
< 1812110468	:1480
< 5267836752	:1490
< 9742629763	:1500
< 3755655394	:1510
< 0782180005	:1520
< 7798087581	:1530
< 5060138237	:1540
< 2698877217	:1550
< 4928488128	:1560
< 6484829976	:1570
< 9377602308	:1580
< 8038222565	:1590
< 9639034632	:1600
< 5670837770	:1610
< 3345745753	:1620
< 2274743178	:1630
< 7298196468	:1640
< 2255559435	:1650
< 4630563096	:1660
< 4836554087	:1670
< 5631115649	:1680
< 7310111709	:1690
< 7340897839	:1700
< 9582377356	:1710
< 9769263605	:1720
< 8315940055	:1730
< 6419594729	:1740
< 8583784243	:1750
< 8651046418	:1760
< 3314460721	:1770
< 1986477036	:1780
< 3845522187	:1790
< 4616954122	:1800
< 2907122730	:1810
< 5178889885	:1820
< 4801352583	:1830
< 9538755246	:1840
< 5492531433	:1850
< 3833921317	:1860
< 0819518685	:1870
< 4796641940	:1880
< 9612884193	:1890
< 8124857127	:1900
< 0747313389	:1910
< 2971353576	:1920
< 1648950502	:1930
< 4485303399	:1940
< 2125024844	:1950
< 6004210853	:1960
< 9470684945	:1970
< 3660054705	:1980
< 0465433049	:1990
< 2983337193	:2000
---
> 3141592653	:10
> 5897932384	:20
> 6264338327	:30
> 9502884197	:40
> 1693993751	:50
> 0582097494	:60
> 4592307816	:70
> 4062862089	:80
> 9862803482	:90
> 5342117067	:100
> 9821480865	:110
> 1328230664	:120
> 7093844609	:130
> 5505822317	:140
> 2535940812	:150
> 8481117450	:160
> 2841027019	:170
> 3852110555	:180
> 9644622948	:190
> 9549303819	:200
> 6442881097	:210
> 5665933446	:220
> 1284756482	:230
> 3378678316	:240
> 5271201909	:250
> 1456485669	:260
> 2346034861	:270
> 0454326648	:280
> 2133936072	:290
> 6024914127	:300
> 3724587006	:310
> 6063155881	:320
> 7488152092	:330
> 0962829254	:340
> 0917153643	:350
> 6789259036	:360
> 0011330530	:370
> 5488204665	:380
> 2138414695	:390
> 1941511609	:400
> 4330572703	:410
> 6575959195	:420
> 3092186117	:430
> 3819326117	:440
> 9310511854	:450
> 8074462379	:460
> 9627495673	:470
> 5188575272	:480
> 4891227938	:490
> 1830119491	:500
> 2983367336	:510
> 2440656643	:520
> 0860213949	:530
> 4639522473	:540
> 7190702179	:550
> 8609437027	:560
> 7053921717	:570
> 6293176752	:580
> 3846748184	:590
> 6766940513	:600
> 2000568127	:610
> 1452635608	:620
> 2778577134	:630
> 2757789609	:640
> 1736371787	:650
> 2146844090	:660
> 1224953430	:670
> 1465495853	:680
> 7105079227	:690
> 9689258923	:700
> 5420199561	:710
> 1212902196	:720
> 0864034418	:730
> 1598136297	:740
> 7477130996	:750
> 0518707211	:760
> 3499999983	:770
> 7297804995	:780
> 1059731732	:790
> 8160963185	:800
> 9502445945	:810
> 5346908302	:820
> 6425223082	:830
> 5334468503	:840
> 5261931188	:850
> 1710100031	:860
> 3783875288	:870
> 6587533208	:880
> 3814206171	:890
> 7766914730	:900
> 3598253490	:910
> 4287554687	:920
> 3115956286	:930
> 3882353787	:940
> 5937519577	:950
> 8185778053	:960
> 2171226806	:970
> 6130019278	:980
> 7661119590	:990
> 9216420198	:1000
> 9380952572	:1010
> 0106548586	:1020
> 3278865936	:1030
> 1533818279	:1040
> 6823030195	:1050
> 2035301852	:1060
> 9689957736	:1070
> 2259941389	:1080
> 1249721775	:1090
> 2834791315	:1100
> 1557485724	:1110
> 2454150695	:1120
> 9508295331	:1130
> 1686172785	:1140
> 5889075098	:1150
> 3817546374	:1160
> 6493931925	:1170
> 5060400927	:1180
> 7016711390	:1190
> 0984882401	:1200
> 2858361603	:1210
> 5637076601	:1220
> 0471018194	:1230
> 2955596198	:1240
> 9467678374	:1250
> 4944825537	:1260
> 9774726847	:1270
> 1040475346	:1280
> 4620804668	:1290
> 4259069491	:1300
> 2933136770	:1310
> 2898915210	:1320
> 4752162056	:1330
> 9660240580	:1340
> 3815019351	:1350
> 1253382430	:1360
> 0355876402	:1370
> 4749647326	:1380
> 3914199272	:1390
> 6042699227	:1400
> 9678235478	:1410
> 1636009341	:1420
> 7216412199	:1430
> 2458631503	:1440
> 0286182974	:1450
> 5557067498	:1460
> 3850549458	:1470
> 8586926995	:1480
> 6909272107	:1490
> 9750930295	:1500
> 5321165344	:1510
> 9872027559	:1520
> 6023648066	:1530
> 5499119881	:1540
> 8347977535	:1550
> 6636980742	:1560
> 6542527862	:1570
> 5518184175	:1580
> 7467289097	:1590
> 7772793800	:1600
> 0816470600	:1610
> 1614524919	:1620
> 2173217214	:1630
> 7723501414	:1640
> 4197356854	:1650
> 8161361157	:1660
> 3525521334	:1670
> 7574184946	:1680
> 8438523323	:1690
> 9073941433	:1700
> 3454776241	:1710
> 6862518983	:1720
> 5694855620	:1730
> 9921922218	:1740
> 4272550254	:1750
> 2568876717	:1760
> 9049460165	:1770
> 3466804988	:1780
> 6272327917	:1790
> 8608578438	:1800
> 3827967976	:1810
> 6814541009	:1820
> 5388378636	:1830
> 0950680064	:1840
> 2251252051	:1850
> 1739298489	:1860
> 6084128488	:1870
> 6269456042	:1880
> 4196528502	:1890
> 2210661186	:1900
> 3067442786	:1910
> 2203919494	:1920
> 5047123713	:1930
> 7869609563	:1940
> 6437191728	:1950
> 7467764657	:1960
> 5739624138	:1970
> 9086583264	:1980
> 5995813390	:1990
> 4780275900	:2000

PROGRAM OUTPUT:
3141579504	:10
7971560865	:20
3932498281	:30
9948363567	:40
2441292084	:50
8433609571	:60
1820060752	:70
7313191240	:80
4020875881	:90
2496930186	:100
7803176647	:110
3190304064	:120
0257726079	:130
9398524590	:140
9095149241	:150
9285069262	:160
0309384353	:170
2724425794	:180
5368635908	:190
4507402617	:200
8747213483	:210
0757910764	:220
9720722144	:230
4078178784	:240
2625867525	:250
6125691360	:260
0275371943	:270
8737302983	:280
2686062784	:290
2874004613	:300
0429924801	:310
3402878955	:320
4644086976	:330
8750791730	:340
4338889585	:350
0938521171	:360
2725485780	:370
0712436958	:380
0414296422	:390
4104181367	:400
0860779048	:410
8667091079	:420
0869733847	:430
0183798277	:440
9674003045	:450
0770944152	:460
1334857714	:470
0790845330	:480
6274435276	:490
4703801061	:500
1764948304	:510
8041497106	:520
1522190195	:530
0353510117	:540
4705772108	:550
9579987496	:560
9352811508	:570
3215549539	:580
4608947752	:590
6300070587	:600
8608800697	:610
7953956048	:620
8782490723	:630
1515085556	:640
0102398355	:650
5100095282	:660
5742542074	:670
9290111263	:680
4284284276	:690
6083177960	:700
4671239806	:710
4567705023	:720
6292692117	:730
1144496588	:740
1070955661	:750
3762052739	:760
8522979898	:770
7995713028	:780
8750922156	:790
6070665712	:800
8574232039	:810
8781792732	:820
6856219834	:830
1679403550	:840
4263691979	:850
6084129820	:860
6120014715	:870
0580387248	:880
2756286444	:890
3195192787	:900
4659813324	:910
9121226568	:920
1368116160	:930
4210016656	:940
5787527492	:950
5886494880	:960
3885398939	:970
0853503147	:980
2658563811	:990
2978709753	:1000
5493750791	:1010
5406110388	:1020
3035825145	:1030
7551574971	:1040
8024562130	:1050
6542670574	:1060
5716916570	:1070
2890409953	:1080
2717070219	:1090
1695155045	:1100
7252543541	:1110
0343660783	:1120
9227075261	:1130
4903418240	:1140
7873365105	:1150
7052102154	:1160
5176731613	:1170
0317333334	:1180
8327618906	:1190
2968293382	:1200
5137404644	:1210
6484656130	:1220
3845850411	:1230
0038638940	:1240
9166378146	:1250
9125097682	:1260
5636646771	:1270
1367679400	:1280
4278720386	:1290
8713886301	:1300
4467208204	:1310
3632975816	:1320
0712667485	:1330
1351965186	:1340
7910426360	:1350
5648960242	:1360
8309809510	:1370
8799945030	:1380
4595807791	:1390
3788964888	:1400
4866918178	:1410
2480915090	:1420
2877933897	:1430
6551821432	:1440
1433431192	:1450
1182020023	:1460
1650159618	:1470
1812110468	:1480
5267836752	:1490
9742629763	:1500
3755655394	:1510
0782180005	:1520
7798087581	:1530
5060138237	:1540
2698877217	:1550
4928488128	:1560
6484829976	:1570
9377602308	:1580
8038222565	:1590
9639034632	:1600
5670837770	:1610
3345745753	:1620
2274743178	:1630
7298196468	:1640
2255559435	:1650
4630563096	:1660
4836554087	:1670
5631115649	:1680
7310111709	:1690
7340897839	:1700
9582377356	:1710
9769263605	:1720
8315940055	:1730
6419594729	:1740
8583784243	:1750
8651046418	:1760
3314460721	:1770
1986477036	:1780
3845522187	:1790
4616954122	:1800
2907122730	:1810
5178889885	:1820
4801352583	:1830
9538755246	:1840
5492531433	:1850
3833921317	:1860
0819518685	:1870
4796641940	:1880
9612884193	:1890
8124857127	:1900
0747313389	:1910
2971353576	:1920
1648950502	:1930
4485303399	:1940
2125024844	:1950
6004210853	:1960
9470684945	:1970
3660054705	:1980
0465433049	:1990
2983337193	:2000