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Created September 11, 2022 13:14
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libm, openlibmのpowとmpfr_powを比較
CC = gcc
CFLAGS = -Wall -Wextra -std=gnu11 -O0
LIBS = -lmpfr -lgmp
SRC = pow.c
LIBMBIN = pow_m
OPENLIBMBIN = pow_o
all: $(LIBMBIN) $(OPENLIBMBIN)
$(LIBMBIN): $(SRC)
$(CC) $(CFLAGS) -o $@ $(SRC) $(LIBS) -lm
$(OPENLIBMBIN): $(SRC)
$(CC) $(CFLAGS) -DUSE_OPENLIBM -I/usr/include/openlibm -o $@ $(SRC) $(LIBS) -lopenlibm
test: all
-@ ./$(LIBMBIN) > result_glibc_libm.txt
-@ ./$(OPENLIBMBIN) > result_openlibm.txt
CC = gcc
CFLAGS = -Wall -Wextra -std=gnu11 -O0
CC = gcc
CFLAGS = -Wall -Wextra -std=gnu11 -O0
LIBS = -lmpfr -lgmp
SRC = pow.c
LIBMBIN = pow_m.exe
OPENLIBMBIN = pow_o.exe
all: $(LIBMBIN) $(OPENLIBMBIN)
$(LIBMBIN): $(SRC)
$(CC) $(CFLAGS) -o pow_m.exe $(SRC) $(LIBS) -lm
$(OPENLIBMBIN): $(SRC)
$(CC) $(CFLAGS) -DUSE_OPENLIBM -I/mingw64/include/openlibm -o $(OPENLIBMBIN) $(SRC) $(LIBS) -lopenlibm
test: all
-@ ./$(LIBMBIN) > result_mingw64_libm.txt
-@ ./$(OPENLIBMBIN) > result_openlibm.txt
#include <stdio.h>
#ifdef USE_OPENLIBM
#include <openlibm_math.h>
#else
#include <math.h>
#endif
#include <gmp.h>
#include <mpfr.h>
int main(void){
mpfr_t mb;
mpfr_t me;
mpfr_t mp;
mpfr_printf("mpfr prec=%Pu\n", mpfr_get_default_prec());
mpfr_init(mb);
mpfr_init(me);
mpfr_init(mp);
int errs = 0;
int ntests = 0;
printf("b\te\tpow(b,e)\tmprf_pow(b,e)->mpfr_get_d\tmpfr_pow(b,e)\n");
for (int b = 2; b <= 100; b++)
{
for (int i = -1000; i <= 1000; i++)
{
ntests++;
double e = i/100.0;
double p_math = pow(b, e);
mpfr_set_d(mb, (double)b, MPFR_RNDN);
mpfr_set_d(me, e, MPFR_RNDN);
mpfr_pow(mp, mb, me, MPFR_RNDN);
double p_mpfr = mpfr_get_d(mp, MPFR_RNDN);
if (p_math != p_mpfr)
{
errs++;
printf("%d\t%.2f\t%.20e\t%.20e", b, e, p_math, p_mpfr);
mpfr_printf("\t%.50Re\n", mp);
}
}
}
printf("differences: %d/%d\n", errs, ntests);
return 0;
}
mpfr prec=53
b e pow(b,e) mprf_pow(b,e)->mpfr_get_d mpfr_pow(b,e)
3 -3.20 2.97311689540826103173e-02 2.97311689540826137867e-02 2.97311689540826137867490785993140889331698417663574e-02
6 -6.46 9.40032616192422215869e-06 9.40032616192422385275e-06 9.40032616192422385275207635801919536788773257285357e-06
7 5.77 7.51996277692854200723e+04 7.51996277692854346242e+04 7.51996277692854346241801977157592773437500000000000e+04
9 -1.60 2.97311689540826103173e-02 2.97311689540826137867e-02 2.97311689540826137867490785993140889331698417663574e-02
10 -6.61 2.45470891568502881400e-07 2.45470891568502828461e-07 2.45470891568502828460860169454416102041705016745254e-07
11 2.26 2.25708268152018092678e+02 2.25708268152018064256e+02 2.25708268152018064256481011398136615753173828125000e+02
11 5.94 1.53416669274912914261e+06 1.53416669274912890978e+06 1.53416669274912890978157520294189453125000000000000e+06
12 7.77 2.42794185423148274422e+08 2.42794185423148244619e+08 2.42794185423148244619369506835937500000000000000000e+08
13 -8.48 3.57898907290999084852e-10 3.57898907290999136551e-10 3.57898907290999136551232019234154886622167879295375e-10
13 -0.25 5.26640387847926549902e-01 5.26640387847926660925e-01 5.26640387847926660924713360145688056945800781250000e-01
13 3.36 5.53158593581568402442e+03 5.53158593581568493391e+03 5.53158593581568493391387164592742919921875000000000e+03
13 5.13 5.18238170290848356672e+05 5.18238170290848414879e+05 5.18238170290848414879292249679565429687500000000000e+05
14 -9.77 6.34350215037681127341e-12 6.34350215037681208120e-12 6.34350215037681208120475027031531019706261931290214e-12
14 -6.77 1.74065699006339729001e-08 1.74065699006339695914e-08 1.74065699006339695914030100531294520393998936924618e-08
14 -0.90 9.30003895941048236429e-02 9.30003895941048375207e-02 9.30003895941048375206605669518467038869857788085938e-02
14 3.66 1.56613289146078004705e+04 1.56613289146078022895e+04 1.56613289146078022895380854606628417968750000000000e+04
15 2.45 7.61068215169455129399e+02 7.61068215169455243085e+02 7.61068215169455243085394613444805145263671875000000e+02
15 3.50 1.30713187934500328993e+04 1.30713187934500310803e+04 1.30713187934500310802832245826721191406250000000000e+04
17 -3.77 2.29724633009881699485e-05 2.29724633009881665604e-05 2.29724633009881665604047518147723394577042199671268e-05
17 -3.01 1.97855782156490381859e-04 1.97855782156490354754e-04 1.97855782156490354753777816121385058067971840500832e-04
17 3.39 1.48327556880689371610e+04 1.48327556880689389800e+04 1.48327556880689389799954369664192199707031250000000e+04
18 9.34 5.29962570208277832031e+11 5.29962570208277770996e+11 5.29962570208277770996093750000000000000000000000000e+11
19 -7.88 8.38342772370359231237e-11 8.38342772370359101990e-11 8.38342772370359101989795965668940055937063959845545e-11
20 -6.48 3.70958757368224489139e-09 3.70958757368224530498e-09 3.70958757368224530498458625053098680623975269554649e-09
21 -9.92 7.64864661947214820849e-14 7.64864661947214947066e-14 7.64864661947214947066493645602940692151093526884864e-14
21 2.24 9.15737966063214457790e+02 9.15737966063214344103e+02 9.15737966063214344103471376001834869384765625000000e+02
22 -4.72 4.61067962908636704759e-07 4.61067962908636651819e-07 4.61067962908636651819251853906544980077342188451439e-07
22 5.15 8.19363863377462979406e+06 8.19363863377462886274e+06 8.19363863377462886273860931396484375000000000000000e+06
23 0.61 6.77101818160348223330e+00 6.77101818160348134512e+00 6.77101818160348134512105389148928225040435791015625e+00
24 3.62 9.91664336807923245942e+04 9.91664336807923100423e+04 9.91664336807923100423067808151245117187500000000000e+04
24 6.58 1.20722986441083383560e+09 1.20722986441083359718e+09 1.20722986441083359718322753906250000000000000000000e+09
25 9.25 8.52992239952007128906e+12 8.52992239952007226562e+12 8.52992239952007226562500000000000000000000000000000e+12
25 9.92 7.37165303733581093750e+13 7.37165303733581250000e+13 7.37165303733581250000000000000000000000000000000000e+13
26 -6.10 2.33702079812741333765e-09 2.33702079812741292406e-09 2.33702079812741292406443297956144394822430854219419e-09
26 6.38 1.06544236128451609612e+09 1.06544236128451597691e+09 1.06544236128451597690582275390625000000000000000000e+09
27 -9.66 1.48945037536909557907e-14 1.48945037536909526353e-14 1.48945037536909526352961254339199095316588136728164e-14
28 -5.96 2.37103591907014945626e-09 2.37103591907014904267e-09 2.37103591907014904267109112396324371863087776546308e-09
28 -4.62 2.06124632903493400361e-07 2.06124632903493426830e-07 2.06124632903493426830279604267115445281888241879642e-07
29 -4.74 1.17012831861103288855e-07 1.17012831861103275621e-07 1.17012831861103275620567714439962392347638342471328e-07
31 9.79 3.98502437931135562500e+14 3.98502437931135500000e+14 3.98502437931135500000000000000000000000000000000000e+14
33 0.38 3.77602879238922728433e+00 3.77602879238922684024e+00 3.77602879238922684024259979196358472108840942382812e+00
34 -3.80 1.51488656932080438769e-06 1.51488656932080417593e-06 1.51488656932080417593007321680476096048550971318036e-06
35 -0.51 1.63126792679472776282e-01 1.63126792679472804037e-01 1.63126792679472804037388300457678269594907760620117e-01
36 -3.23 9.40032616192422215869e-06 9.40032616192422385275e-06 9.40032616192422385275207635801919536788773257285357e-06
38 -6.53 4.83073388854922385697e-11 4.83073388854922321074e-11 4.83073388854922321073848663096675891404085945168845e-11
38 1.01 3.94077312362074749785e+01 3.94077312362074820840e+01 3.94077312362074820839552558027207851409912109375000e+01
39 -9.86 2.05164858355765162868e-16 2.05164858355765138217e-16 2.05164858355765138216562067522651959403309977043005e-16
40 0.17 1.87219119552066093348e+00 1.87219119552066115553e+00 1.87219119552066115552690916956635192036628723144531e+00
40 3.15 1.11298413228943914874e+05 1.11298413228943929425e+05 1.11298413228943929425440728664398193359375000000000e+05
41 10.00 1.34226593101524020000e+16 1.34226593101524000000e+16 1.34226593101524000000000000000000000000000000000000e+16
42 1.49 2.62205285982371037790e+02 2.62205285982371094633e+02 2.62205285982371094632981112226843833923339843750000e+02
44 -8.82 3.19703501908730379730e-15 3.19703501908730419173e-15 3.19703501908730419173051585029547564608635046995433e-15
44 -5.23 2.53946658114838661663e-09 2.53946658114838620304e-09 2.53946658114838620303703933399515346724939490741235e-09
44 -2.16 2.81930602069623112600e-04 2.81930602069623166810e-04 2.81930602069623166810313774632845706946682184934616e-04
45 -3.55 1.35237014938313014488e-06 1.35237014938313035664e-06 1.35237014938313035664215443210078859692657715640962e-06
45 7.47 2.23613221269206982422e+12 2.23613221269207031250e+12 2.23613221269207031250000000000000000000000000000000e+12
46 -5.85 1.87441902950736736134e-10 1.87441902950736710284e-10 1.87441902950736710284482359796661646994531125187677e-10
47 -9.34 2.41327051557479252531e-16 2.41327051557479301834e-16 2.41327051557479301834490088846151252998452644768501e-16
47 1.13 7.75301420119472197712e+01 7.75301420119472055603e+01 7.75301420119472055603182525373995304107666015625000e+01
48 -7.22 7.26839073552051873962e-13 7.26839073552051974936e-13 7.26839073552051974935993354804285014624833094476486e-13
48 5.94 9.69556115461657905579e+09 9.69556115461658096313e+09 9.69556115461658096313476562500000000000000000000000e+09
49 -8.34 8.01243819518880520088e-15 8.01243819518880677861e-15 8.01243819518880677860503029193285724980958754232185e-15
50 -3.89 2.46040546576192488378e-07 2.46040546576192435438e-07 2.46040546576192435438107213030445308277194271795452e-07
51 -6.39 1.22638427918649016027e-11 1.22638427918649032183e-11 1.22638427918649032182551055003863168298833263847314e-11
52 -9.48 5.39868890514335165073e-17 5.39868890514335103444e-17 5.39868890514335103443507311104937150575728776699148e-17
52 -1.13 1.15057841327125265352e-02 1.15057841327125248004e-02 1.15057841327125248004348279096120677422732114791870e-02
52 6.56 1.80709895285394134521e+11 1.80709895285394165039e+11 1.80709895285394165039062500000000000000000000000000e+11
53 -5.04 2.04009136301250865189e-09 2.04009136301250906548e-09 2.04009136301250906547676590159067638863277238669980e-09
54 -2.27 1.16806272546749999601e-04 1.16806272546749986049e-04 1.16806272546749986048636449353921307192649692296982e-04
54 3.92 6.17992975294539239258e+06 6.17992975294539146125e+06 6.17992975294539146125316619873046875000000000000000e+06
56 -9.52 2.27640736952303971003e-17 2.27640736952304001818e-17 2.27640736952304001817698984544226463213064956748110e-17
56 -3.65 4.16019513146404426303e-07 4.16019513146404479242e-07 4.16019513146404479242212526637900715797968587139621e-07
56 3.20 3.92827322110986104235e+05 3.92827322110986162443e+05 3.92827322110986162442713975906372070312500000000000e+05
56 5.51 4.29058024485302734375e+09 4.29058024485302782059e+09 4.29058024485302782058715820312500000000000000000000e+09
57 2.43 1.84831462224613787839e+04 1.84831462224613824219e+04 1.84831462224613824218977242708206176757812500000000e+04
57 3.34 7.32187007152418605983e+05 7.32187007152418722399e+05 7.32187007152418722398579120635986328125000000000000e+05
57 7.70 3.31311406883756015625e+13 3.31311406883756054688e+13 3.31311406883756054687500000000000000000000000000000e+13
58 -2.70 1.73278395301257890151e-05 1.73278395301257856270e-05 1.73278395301257856270151641586707569331338163465261e-05
58 8.66 1.86761100450434250000e+15 1.86761100450434275000e+15 1.86761100450434275000000000000000000000000000000000e+15
59 0.03 1.13012260102041084409e+00 1.13012260102041062204e+00 1.13012260102041062204136778746033087372779846191406e+00
60 -7.17 1.78096561542444866393e-13 1.78096561542444841150e-13 1.78096561542444841149877612051969902513554738776591e-13
60 3.15 3.99187045204212539829e+05 3.99187045204212598037e+05 3.99187045204212598036974668502807617187500000000000e+05
61 3.22 5.60740686163182719611e+05 5.60740686163182836026e+05 5.60740686163182836025953292846679687500000000000000e+05
61 8.58 2.08031923373997925000e+15 2.08031923373997900000e+15 2.08031923373997900000000000000000000000000000000000e+15
62 6.99 3.37923122546240576172e+12 3.37923122546240625000e+12 3.37923122546240625000000000000000000000000000000000e+12
62 8.30 7.53097182536475750000e+14 7.53097182536475875000e+14 7.53097182536475875000000000000000000000000000000000e+14
63 -2.93 5.34480900069328173637e-06 5.34480900069328088934e-06 5.34480900069328088933945375416101342125330120325089e-06
63 2.85 1.34313778235446341569e+05 1.34313778235446370672e+05 1.34313778235446370672434568405151367187500000000000e+05
63 3.99 1.51136302214610725641e+07 1.51136302214610707015e+07 1.51136302214610707014799118041992187500000000000000e+07
63 9.00 1.56338141568538220000e+16 1.56338141568538240000e+16 1.56338141568538240000000000000000000000000000000000e+16
65 -9.35 1.12010855797642281035e-17 1.12010855797642296442e-17 1.12010855797642296442072105956612658245468385127298e-17
66 -1.92 3.20978278711016914299e-04 3.20978278711016968509e-04 3.20978278711016968508668023574159633426461368799210e-04
66 -1.91 3.34711846071521126195e-04 3.34711846071521180405e-04 3.34711846071521180404767514815489448665175586938858e-04
66 5.42 7.27659377624749660492e+09 7.27659377624749565125e+09 7.27659377624749565124511718750000000000000000000000e+09
66 6.14 1.48593483559174591064e+11 1.48593483559174560547e+11 1.48593483559174560546875000000000000000000000000000e+11
67 -4.39 9.62790100444288149618e-09 9.62790100444288315054e-09 9.62790100444288315053887336927851414714041311526671e-09
67 -1.67 8.92185333144112323323e-04 8.92185333144112214902e-04 8.92185333144112214902310409314623029786162078380585e-04
68 -5.07 5.11893732960380923400e-10 5.11893732960380820002e-10 5.11893732960380820002403714987122829160881565258023e-10
68 0.87 3.92900656117162370151e+01 3.92900656117162441205e+01 3.92900656117162441205437062308192253112792968750000e+01
68 2.72 9.64771004450361797353e+04 9.64771004450361651834e+04 9.64771004450361651834100484848022460937500000000000e+04
68 4.70 4.10007583702816963196e+08 4.10007583702817022800e+08 4.10007583702817022800445556640625000000000000000000e+08
69 -4.22 1.73802827350774772115e-08 1.73802827350774739028e-08 1.73802827350774739027881849286541471322209417849081e-08
69 3.23 8.69926504824500414543e+05 8.69926504824500298128e+05 8.69926504824500298127532005310058593750000000000000e+05
70 -9.16 1.25574643377380425439e-17 1.25574643377380440847e-17 1.25574643377380440846687973134672531748741901040027e-17
70 -0.61 7.49014448955197392754e-02 7.49014448955197531532e-02 7.49014448955197531532235188933555036783218383789062e-02
70 2.64 7.43119787425316608278e+04 7.43119787425316462759e+04 7.43119787425316462758928537368774414062500000000000e+04
71 -3.08 1.98666337728156560779e-06 1.98666337728156518428e-06 1.98666337728156518427575019658526400689879665151238e-06
71 2.35 2.24107875965296516370e+04 2.24107875965296479990e+04 2.24107875965296479989774525165557861328125000000000e+04
73 1.86 2.92267496709948682110e+03 2.92267496709948727585e+03 2.92267496709948727584560401737689971923828125000000e+03
73 4.84 1.04347642830735397339e+09 1.04347642830735385418e+09 1.04347642830735385417938232421875000000000000000000e+09
75 -2.01 1.70265579392498615872e-04 1.70265579392498588767e-04 1.70265579392498588766693967677667842508526518940926e-04
77 -0.36 2.09345359735332747775e-01 2.09345359735332775530e-01 2.09345359735332775530380899908777792006731033325195e-01
77 2.18 1.29583522373215164407e+04 1.29583522373215146217e+04 1.29583522373215146217262372374534606933593750000000e+04
78 4.71 8.16141719501353502274e+08 8.16141719501353621483e+08 8.16141719501353621482849121093750000000000000000000e+08
79 4.28 1.32386576259484797716e+08 1.32386576259484812617e+08 1.32386576259484812617301940917968750000000000000000e+08
80 6.78 7.99742381872771679688e+12 7.99742381872771582031e+12 7.99742381872771582031250000000000000000000000000000e+12
81 -0.80 2.97311689540826103173e-02 2.97311689540826137867e-02 2.97311689540826137867490785993140889331698417663574e-02
81 8.50 1.66771816996665700000e+16 1.66771816996665680000e+16 1.66771816996665680000000000000000000000000000000000e+16
82 -3.95 2.75699058545908212734e-08 2.75699058545908179647e-08 2.75699058545908179647091114112394949486883888312150e-08
82 10.00 1.37448031335960596480e+19 1.37448031335960576000e+19 1.37448031335960576000000000000000000000000000000000e+19
83 -7.53 3.54276189118755994272e-15 3.54276189118755954829e-15 3.54276189118755954829267222245982630476158819696209e-15
83 6.60 4.63356660001854589844e+12 4.63356660001854492188e+12 4.63356660001854492187500000000000000000000000000000e+12
83 8.53 2.34280492308720960000e+16 2.34280492308720920000e+16 2.34280492308720920000000000000000000000000000000000e+16
84 -6.51 2.97126815070964832760e-13 2.97126815070964883248e-13 2.97126815070964883247585786458396595120356326047428e-13
84 0.75 2.77465802713159810367e+01 2.77465802713159774839e+01 2.77465802713159774839368765242397785186767578125000e+01
84 1.08 1.19735140720544947612e+02 1.19735140720544961823e+02 1.19735140720544961823179619386792182922363281250000e+02
85 -8.85 8.40702826270316168646e-18 8.40702826270316322720e-18 8.40702826270316322720344906560123440107024353273391e-18
86 -8.97 4.44169662632041712256e-18 4.44169662632041635218e-18 4.44169662632041635218329529467306321010720164055904e-18
86 -8.66 1.76702792236493298102e-17 1.76702792236493267287e-17 1.76702792236493267287191634637932396001692129131012e-17
87 -5.16 9.81930288635379814464e-11 9.81930288635379943711e-11 9.81930288635379943711036942055202150075876588175561e-11
88 -9.49 3.52256845234377257332e-19 3.52256845234377209183e-19 3.52256845234377209183378314810463670561867107220710e-19
88 -8.37 5.30493459850769911607e-17 5.30493459850769973237e-17 5.30493459850769973236586972530558432778464911575272e-17
88 -4.19 7.12225639253504307150e-09 7.12225639253504389868e-09 7.12225639253504389867812035888605670663764612982050e-09
88 0.87 4.91699679004671352800e+01 4.91699679004671423854e+01 4.91699679004671423854233580641448497772216796875000e+01
89 -7.36 4.49251515775003140008e-15 4.49251515775003061122e-15 4.49251515775003061122034993460722470581320724461460e-15
89 2.90 4.50019175123043823987e+05 4.50019175123043882195e+05 4.50019175123043882194906473159790039062500000000000e+05
90 -7.16 1.01770904040785629322e-14 1.01770904040785645099e-14 1.01770904040785645098888509498288052838437531613658e-14
90 -3.60 9.21991603563937996774e-08 9.21991603563937864425e-08 9.21991603563937864425305215160255656314802763517946e-08
90 0.83 4.18814088824678307788e+01 4.18814088824678378842e+01 4.18814088824678378841781523078680038452148437500000e+01
92 -4.30 3.59511131896624725578e-09 3.59511131896624766937e-09 3.59511131896624766936749766803923383795549284513982e-09
92 0.40 6.10260317910237937156e+00 6.10260317910237848338e+00 6.10260317910237848337828836520202457904815673828125e+00
92 5.01 6.89567865876879024506e+09 6.89567865876878929138e+09 6.89567865876878929138183593750000000000000000000000e+09
92 9.07 6.47971036713847424000e+17 6.47971036713847296000e+17 6.47971036713847296000000000000000000000000000000000e+17
93 9.85 2.45220652250891100160e+19 2.45220652250891059200e+19 2.45220652250891059200000000000000000000000000000000e+19
95 2.95 6.82786043928561150096e+05 6.82786043928561033681e+05 6.82786043928561033681035041809082031250000000000000e+05
95 9.96 4.99030521615254323200e+19 4.99030521615254405120e+19 4.99030521615254405120000000000000000000000000000000e+19
96 -0.48 1.11817507725364986837e-01 1.11817507725365000715e-01 1.11817507725365000714745633558777626603841781616211e-01
96 -0.34 2.11849664601570869538e-01 2.11849664601570841782e-01 2.11849664601570841782063325808849185705184936523438e-01
96 -0.03 8.72030877481666855111e-01 8.72030877481666966133e-01 8.72030877481666966133388996240682899951934814453125e-01
97 0.89 5.86444399953842108175e+01 5.86444399953842179229e+01 5.86444399953842179229468456469476222991943359375000e+01
97 2.71 2.42187319137921353104e+05 2.42187319137921324000e+05 2.42187319137921323999762535095214843750000000000000e+05
97 5.34 4.06781375935005340576e+10 4.06781375935005416870e+10 4.06781375935005416870117187500000000000000000000000e+10
99 -8.37 1.97939934044781646513e-17 1.97939934044781615698e-17 1.97939934044781615697702967175295777466357307190726e-17
differences: 153/198099
mpfr prec=53
b e pow(b,e) mprf_pow(b,e)->mpfr_get_d mpfr_pow(b,e)
3 2.51 1.57606581533472080991e+01 1.57606581533472063228e+01 1.57606581533472063227918624761514365673065185546875e+01
3 4.52 1.43412851598345469029e+02 1.43412851598345440607e+02 1.43412851598345440606863121502101421356201171875000e+02
3 6.10 8.13653793870716071979e+02 8.13653793870715958292e+02 8.13653793870715958291839342564344406127929687500000e+02
5 3.56 3.07845787689001440413e+02 3.07845787689001497256e+02 3.07845787689001497255958383902907371520996093750000e+02
5 9.78 6.85372448973959125578e+06 6.85372448973959218711e+06 6.85372448973959218710660934448242187500000000000000e+06
5 9.81 7.19276286601305101067e+06 7.19276286601305194199e+06 7.19276286601305194199085235595703125000000000000000e+06
6 -6.46 9.40032616192422215869e-06 9.40032616192422385275e-06 9.40032616192422385275207635801919536788773257285357e-06
7 -9.19 1.71217839355542426960e-08 1.71217839355542460047e-08 1.71217839355542460047276330471419103496089064719854e-08
7 -7.80 2.55997242852711208328e-07 2.55997242852711261268e-07 2.55997242852711261267538173785895949663427018094808e-07
7 -3.25 1.79238528557219920639e-03 1.79238528557219942323e-03 1.79238528557219942323464056954662737553007900714874e-03
9 2.26 1.43412851598345469029e+02 1.43412851598345440607e+02 1.43412851598345440606863121502101421356201171875000e+02
9 3.05 8.13653793870716071979e+02 8.13653793870715958292e+02 8.13653793870715958291839342564344406127929687500000e+02
9 5.20 9.16349292941281164531e+04 9.16349292941281019012e+04 9.16349292941281019011512398719787597656250000000000e+04
9 7.16 6.79792498101106192917e+06 6.79792498101106099784e+06 6.79792498101106099784374237060546875000000000000000e+06
9 7.92 3.61077706103120297194e+07 3.61077706103120222688e+07 3.61077706103120222687721252441406250000000000000000e+07
9 9.60 1.44786506936481857300e+09 1.44786506936481833458e+09 1.44786506936481833457946777343750000000000000000000e+09
10 -9.57 2.69153480392691421604e-10 2.69153480392691369905e-10 2.69153480392691369905257337802307292251580150832524e-10
10 -9.32 4.78630092322638082698e-10 4.78630092322637979300e-10 4.78630092322637979300362839885345928037096996376931e-10
10 -7.23 5.88843655355588422649e-08 5.88843655355588356475e-08 5.88843655355588356474523103068624552136611782771070e-08
10 -3.12 7.58577575029183636887e-04 7.58577575029183528467e-04 7.58577575029183528466936170531198513344861567020416e-04
10 -2.54 2.88403150312660592341e-03 2.88403150312660548973e-03 2.88403150312660548973409113671095838071778416633606e-03
11 -9.11 3.25771162948355840330e-10 3.25771162948355788631e-10 3.25771162948355788630882818633443219480394503762000e-10
11 -5.82 8.69149675539711880557e-07 8.69149675539711774678e-07 8.69149675539711774678282643624704917328926967456937e-07
11 -4.85 8.89703864535601557872e-06 8.89703864535601388465e-06 8.89703864535601388465000521899028740335779730230570e-06
11 -4.65 1.43722252138872755815e-05 1.43722252138872738875e-05 1.43722252138872738874784268370277118265221361070871e-05
11 5.17 2.42103006281234265771e+05 2.42103006281234294875e+05 2.42103006281234294874593615531921386718750000000000e+05
11 5.94 1.53416669274912914261e+06 1.53416669274912890978e+06 1.53416669274912890978157520294189453125000000000000e+06
12 -9.64 3.95087043915012131535e-11 3.95087043915012066912e-11 3.95087043915012066911951211119056375301039629732713e-11
12 -9.01 1.89050126852918483582e-10 1.89050126852918509431e-10 1.89050126852918509431133933519327341987725787930685e-10
12 -5.88 4.51246943489179469278e-07 4.51246943489179416338e-07 4.51246943489179416338167574393458458814620826160535e-07
12 5.31 5.37591528664435376413e+05 5.37591528664435492828e+05 5.37591528664435492828488349914550781250000000000000e+05
12 7.77 2.42794185423148274422e+08 2.42794185423148244619e+08 2.42794185423148244619369506835937500000000000000000e+08
13 -8.46 3.76737836557876713638e-10 3.76737836557876661939e-10 3.76737836557876661939207078519126908888736693370447e-10
13 5.13 5.18238170290848356672e+05 5.18238170290848414879e+05 5.18238170290848414879292249679565429687500000000000e+05
14 -9.77 6.34350215037681127341e-12 6.34350215037681208120e-12 6.34350215037681208120475027031531019706261931290214e-12
14 -9.04 4.35514438330812862469e-11 4.35514438330812927093e-11 4.35514438330812927092517219098208184138720788780574e-11
14 7.61 5.27271565519087791443e+08 5.27271565519087731838e+08 5.27271565519087731838226318359375000000000000000000e+08
14 9.53 8.36758591115010528564e+10 8.36758591115010681152e+10 8.36758591115010681152343750000000000000000000000000e+10
15 6.81 1.02136618233502343297e+08 1.02136618233502328396e+08 1.02136618233502328395843505859375000000000000000000e+08
17 -8.29 6.30345187938624866616e-11 6.30345187938624995863e-11 6.30345187938624995862772215852033556859890239820743e-11
17 -2.93 2.48190217913238527197e-04 2.48190217913238581407e-04 2.48190217913238581406987215416393155464902520179749e-04
17 7.09 5.29520590724173367023e+08 5.29520590724173307419e+08 5.29520590724173307418823242187500000000000000000000e+08
17 7.33 1.04517880389478266239e+09 1.04517880389478254318e+09 1.04517880389478254318237304687500000000000000000000e+09
17 9.20 2.08992199514418426514e+11 2.08992199514418395996e+11 2.08992199514418395996093750000000000000000000000000e+11
17 9.89 1.47618175196849072266e+12 1.47618175196849047852e+12 1.47618175196849047851562500000000000000000000000000e+12
18 2.04 3.63710559861007482141e+02 3.63710559861007538984e+02 3.63710559861007538984267739579081535339355468750000e+02
18 8.39 3.40201573372402076721e+10 3.40201573372402038574e+10 3.40201573372402038574218750000000000000000000000000e+10
18 8.92 1.57409429723594146729e+11 1.57409429723594177246e+11 1.57409429723594177246093750000000000000000000000000e+11
18 9.47 7.71668235063818969727e+11 7.71668235063819091797e+11 7.71668235063819091796875000000000000000000000000000e+11
19 -8.15 3.78580423077783636329e-11 3.78580423077783700952e-11 3.78580423077783700952445997255649745225070113008314e-11
19 -7.88 8.38342772370359231237e-11 8.38342772370359101990e-11 8.38342772370359101989795965668940055937063959845545e-11
19 7.87 1.15821941193041038513e+10 1.15821941193041057587e+10 1.15821941193041057586669921875000000000000000000000e+10
19 8.92 2.54965911853889709473e+11 2.54965911853889678955e+11 2.54965911853889678955078125000000000000000000000000e+11
20 -7.38 2.50264144255622627709e-10 2.50264144255622576010e-10 2.50264144255622576009867913092725617840716978435012e-10
20 -5.04 2.77209954685361486461e-07 2.77209954685361433522e-07 2.77209954685361433521836177495956121674680616706610e-07
20 4.59 9.36974302557932212949e+05 9.36974302557932329364e+05 9.36974302557932329364120960235595703125000000000000e+05
20 5.09 4.19027646737998304889e+06 4.19027646737998351455e+06 4.19027646737998351454734802246093750000000000000000e+06
20 9.61 3.18345165080287646484e+12 3.18345165080287695312e+12 3.18345165080287695312500000000000000000000000000000e+12
21 -9.78 1.17137323769770549316e-13 1.17137323769770524073e-13 1.17137323769770524072721400674456651639894835814637e-13
21 -7.76 5.49007494274087382000e-11 5.49007494274087317376e-11 5.49007494274087317376428756908327607350051025036919e-11
21 -5.71 2.81921259562705334944e-08 2.81921259562705301857e-08 2.81921259562705301856779031800456780665342648717342e-08
21 -4.94 2.93925106353516632485e-07 2.93925106353516579545e-07 2.93925106353516579544996132483669626367372984532267e-07
21 -3.45 2.74374302260618158707e-05 2.74374302260618124826e-05 2.74374302260618124825550939727136778856220189481974e-05
21 4.84 2.50923528807280305773e+06 2.50923528807280352339e+06 2.50923528807280352339148521423339843750000000000000e+06
21 6.18 1.48359459161295205355e+08 1.48359459161295235157e+08 1.48359459161295235157012939453125000000000000000000e+08
21 7.08 2.29780201907383251190e+09 2.29780201907383298874e+09 2.29780201907383298873901367187500000000000000000000e+09
21 7.72 1.61262339257039566040e+10 1.61262339257039585114e+10 1.61262339257039585113525390625000000000000000000000e+10
21 9.09 1.04465620721512878418e+12 1.04465620721512890625e+12 1.04465620721512890625000000000000000000000000000000e+12
22 -9.99 3.88326848812419380948e-14 3.88326848812419317839e-14 3.88326848812419317839190694336470064683994145304791e-14
22 -8.85 1.31691964035804977386e-12 1.31691964035804997581e-12 1.31691964035804997580707856084715568563588139472387e-12
22 -7.62 5.89846724598218912270e-11 5.89846724598218783023e-11 5.89846724598218783022828059005597447356228357762120e-11
22 -7.42 1.09452001644387506302e-10 1.09452001644387493377e-10 1.09452001644387493377185533082260196838242372052719e-10
22 -6.67 1.11183596676609293042e-09 1.11183596676609313721e-09 1.11183596676609313721499139245322759772527376753715e-09
22 7.25 5.40212259724735641479e+09 5.40212259724735736847e+09 5.40212259724735736846923828125000000000000000000000e+09
22 8.96 1.06685947878374328613e+12 1.06685947878374340820e+12 1.06685947878374340820312500000000000000000000000000e+12
23 -9.84 3.98655806065949831900e-14 3.98655806065949768791e-14 3.98655806065949768791481265466936600882943801671399e-14
23 -5.14 1.00165675198210498074e-07 1.00165675198210484840e-07 1.00165675198210484839547469021470149641572788823396e-07
23 7.06 4.10959024933815479279e+09 4.10959024933815526962e+09 4.10959024933815526962280273437500000000000000000000e+09
23 7.50 1.63289692100999202728e+10 1.63289692100999221802e+10 1.63289692100999221801757812500000000000000000000000e+10
23 8.37 2.49840009345451782227e+11 2.49840009345451812744e+11 2.49840009345451812744140625000000000000000000000000e+11
23 8.54 4.25751042043868408203e+11 4.25751042043868469238e+11 4.25751042043868469238281250000000000000000000000000e+11
23 8.65 6.01098690081673461914e+11 6.01098690081673583984e+11 6.01098690081673583984375000000000000000000000000000e+11
23 9.03 1.97880208474655468750e+12 1.97880208474655493164e+12 1.97880208474655493164062500000000000000000000000000e+12
24 -9.68 4.36068966173321829248e-14 4.36068966173321892357e-14 4.36068966173321892356597810993013139809816071379434e-14
24 -7.44 5.38552891125704374994e-11 5.38552891125704439618e-11 5.38552891125704439617715885399619338627652531670265e-11
24 -5.40 3.52256726377572931116e-08 3.52256726377572997291e-08 3.52256726377572997290624537934655702287045642151497e-08
24 0.25 2.21336383940064340692e+00 2.21336383940064296283e+00 2.21336383940064296282912437163759022951126098632812e+00
24 2.23 1.19638530222072040488e+03 1.19638530222072017750e+03 1.19638530222072017750178929418325424194335937500000e+03
24 6.98 4.30402184725743865967e+09 4.30402184725743961334e+09 4.30402184725743961334228515625000000000000000000000e+09
25 1.78 3.07845787689001440413e+02 3.07845787689001497256e+02 3.07845787689001497255958383902907371520996093750000e+02
25 4.89 6.85372448973959125578e+06 6.85372448973959218711e+06 6.85372448973959218710660934448242187500000000000000e+06
25 6.86 3.88927327592548465729e+09 3.88927327592548513412e+09 3.88927327592548513412475585937500000000000000000000e+09
25 7.53 3.36115287040808410645e+10 3.36115287040808448792e+10 3.36115287040808448791503906250000000000000000000000e+10
25 8.95 3.24760407455742871094e+12 3.24760407455742919922e+12 3.24760407455742919921875000000000000000000000000000e+12
25 9.53 2.10072054400504648438e+13 2.10072054400504687500e+13 2.10072054400504687500000000000000000000000000000000e+13
25 9.92 7.37165303733581093750e+13 7.37165303733581250000e+13 7.37165303733581250000000000000000000000000000000000e+13
26 -6.10 2.33702079812741333765e-09 2.33702079812741292406e-09 2.33702079812741292406443297956144394822430854219419e-09
26 -3.39 1.59676259460346064946e-05 1.59676259460346031064e-05 1.59676259460346031064225530426980981246742885559797e-05
26 7.08 1.04234455874428501129e+10 1.04234455874428520203e+10 1.04234455874428520202636718750000000000000000000000e+10
27 -9.66 1.48945037536909557907e-14 1.48945037536909526353e-14 1.48945037536909526352961254339199095316588136728164e-14
27 -7.88 5.25839902113423899186e-12 5.25839902113423979965e-12 5.25839902113423979965432309264961193394360972064305e-12
27 -7.67 1.05060612621730084852e-11 1.05060612621730101008e-11 1.05060612621730101007695303749601522906587103278753e-11
27 -5.85 4.23176926184426635283e-09 4.23176926184426718001e-09 4.23176926184426718000775402106321265716104562670807e-09
27 -4.71 1.81249438910905198350e-07 1.81249438910905224819e-07 1.81249438910905224819450115743280083080435360898264e-07
27 5.97 3.50947111309147179127e+08 3.50947111309147119522e+08 3.50947111309147119522094726562500000000000000000000e+08
27 9.82 1.13760675984295265625e+14 1.13760675984295250000e+14 1.13760675984295250000000000000000000000000000000000e+14
28 -9.18 5.18906692879014072215e-14 5.18906692879014009106e-14 5.18906692879014009105970564433977265084130779670968e-14
28 -8.40 6.98027506402230292784e-13 6.98027506402230191810e-13 6.98027506402230191809622334725807482505403889216922e-13
28 -7.99 2.73657483889877037913e-12 2.73657483889876997523e-12 2.73657483889876997523386707242773349885514577728429e-12
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92 7.50 5.35067663076554187500e+14 5.35067663076554250000e+14 5.35067663076554250000000000000000000000000000000000e+14
92 9.13 8.49929422383569792000e+17 8.49929422383569920000e+17 8.49929422383569920000000000000000000000000000000000e+17
92 9.87 2.41315854399977062400e+19 2.41315854399977103360e+19 2.41315854399977103360000000000000000000000000000000e+19
93 -10.00 2.06619123295667520514e-20 2.06619123295667490422e-20 2.06619123295667490421582503241012935541816689991541e-20
93 -6.33 3.46340225719053854090e-13 3.46340225719053803603e-13 3.46340225719053803603222572411959172299696779750988e-13
93 -4.38 2.38805698171447937963e-09 2.38805698171447979322e-09 2.38805698171447979322005666729354655952732855439535e-09
93 -1.83 2.49848188020315351530e-04 2.49848188020315297320e-04 2.49848188020315297320356195953650058072526007890701e-04
93 7.25 1.86853560180590718750e+14 1.86853560180590750000e+14 1.86853560180590750000000000000000000000000000000000e+14
94 -10.00 1.85661332894532929866e-20 1.85661332894532899773e-20 1.85661332894532899772851535113030340233940739158864e-20
94 -9.86 3.50719055991805413354e-20 3.50719055991805473539e-20 3.50719055991805473538941543961807318003342351347099e-20
94 -6.93 2.11945389920379724909e-14 2.11945389920379756463e-14 2.11945389920379756463244947741711273278423025012707e-14
94 -6.09 9.63055623608340752109e-13 9.63055623608340954058e-13 9.63055623608340954057714381431282244655500690555527e-13
94 4.43 5.50752391256712436676e+08 5.50752391256712317467e+08 5.50752391256712317466735839843750000000000000000000e+08
94 5.04 8.80165582481222343445e+09 8.80165582481222152710e+09 8.80165582481222152709960937500000000000000000000000e+09
94 8.61 9.74161180906049120000e+16 9.74161180906048960000e+16 9.74161180906048960000000000000000000000000000000000e+16
95 -9.02 1.44854863192780572916e-18 1.44854863192780553657e-18 1.44854863192780553657145251106436834839441821263742e-18
95 -8.97 1.81894371500809491014e-18 1.81894371500809529532e-18 1.81894371500809529532330322484318157753968033117002e-18
95 -7.20 5.75956974798095219893e-15 5.75956974798095298779e-15 5.75956974798095298778684708923694566934766347551800e-15
95 -6.44 1.83425614181874672608e-13 1.83425614181874697851e-13 1.83425614181874697851368146822261287579329189223465e-13
95 -6.10 8.62752065572014714807e-13 8.62752065572014613833e-13 8.62752065572014613833223970317382712320528059812830e-13
95 -0.60 6.50677571092617146320e-02 6.50677571092617007542e-02 6.50677571092617007542102669503947254270315170288086e-02
95 0.41 6.46943983252170617959e+00 6.46943983252170706777e+00 6.46943983252170706776951192296110093593597412109375e+00
95 2.95 6.82786043928561150096e+05 6.82786043928561033681e+05 6.82786043928561033681035041809082031250000000000000e+05
95 7.79 2.54956967660588350000e+15 2.54956967660588400000e+15 2.54956967660588400000000000000000000000000000000000e+15
96 -8.71 5.42522257485505368924e-18 5.42522257485505445961e-18 5.42522257485505445960774034742113093060685274221511e-18
96 -6.32 2.96514412146725456668e-13 2.96514412146725406181e-13 2.96514412146725406181013977733585756056938070868156e-13
96 -5.80 3.18292824680626559970e-12 3.18292824680626519581e-12 3.18292824680626519580746876832088410958290780605751e-12
96 -4.71 4.60789413118750109846e-10 4.60789413118750161544e-10 4.60789413118750161544427565657802703391610066319117e-10
96 -0.48 1.11817507725364986837e-01 1.11817507725365000715e-01 1.11817507725365000714745633558777626603841781616211e-01
96 -0.18 4.39735145891769541038e-01 4.39735145891769485527e-01 4.39735145891769485526623384430422447621822357177734e-01
97 -9.56 1.01499106793858854885e-19 1.01499106793858842848e-19 1.01499106793858842848055989663811480663405556227352e-19
97 -7.16 5.95270530197709260868e-15 5.95270530197709181981e-15 5.95270530197709181981495249092368348591344795472935e-15
97 -7.02 1.12943807787305936151e-14 1.12943807787305920374e-14 1.12943807787305920374229683663550652496568565269497e-14
97 -5.27 3.38620276825241914898e-11 3.38620276825241850274e-11 3.38620276825241850274458193706785327781183525530651e-11
97 0.89 5.86444399953842108175e+01 5.86444399953842179229e+01 5.86444399953842179229468456469476222991943359375000e+01
97 3.63 1.62922623720133807510e+07 1.62922623720133826137e+07 1.62922623720133826136589050292968750000000000000000e+07
97 5.14 1.62932122151027107239e+10 1.62932122151027126312e+10 1.62932122151027126312255859375000000000000000000000e+10
97 5.34 4.06781375935005340576e+10 4.06781375935005416870e+10 4.06781375935005416870117187500000000000000000000000e+10
97 7.29 3.04485028167382437500e+14 3.04485028167382500000e+14 3.04485028167382500000000000000000000000000000000000e+14
97 8.99 7.26236196782999936000e+17 7.26236196783000064000e+17 7.26236196783000064000000000000000000000000000000000e+17
98 -10.00 1.22388114201141111619e-20 1.22388114201141096572e-20 1.22388114201141096572195284737146015349311362564193e-20
98 -5.62 6.44628429038240649161e-12 6.44628429038240568381e-12 6.44628429038240568381257691989146354789169679477823e-12
98 4.98 8.24718728309957122803e+09 8.24718728309957027435e+09 8.24718728309957027435302734375000000000000000000000e+09
99 -9.00 1.09467008176866188650e-18 1.09467008176866169391e-18 1.09467008176866169390817641910475115477045542968106e-18
99 -8.00 1.08372338095097521756e-16 1.08372338095097509430e-16 1.08372338095097509430246415439882632072655235864860e-16
99 -5.47 1.21304101554265345280e-11 1.21304101554265329124e-11 1.21304101554265329123951599022406694101255952844554e-11
99 -4.32 2.39252210685000566772e-09 2.39252210685000525413e-09 2.39252210685000525412758997203035993273090298316674e-09
99 9.00 9.13517247483640832000e+17 9.13517247483640960000e+17 9.13517247483640960000000000000000000000000000000000e+17
100 -9.80 2.51188643150957174128e-20 2.51188643150957204221e-20 2.51188643150957204221118988147720412711586640518208e-20
100 -9.53 8.70963589956083262843e-20 8.70963589956083142473e-20 8.70963589956083142472625636110060908137656219364775e-20
100 -4.66 4.78630092322638082698e-10 4.78630092322637979300e-10 4.78630092322637979300362839885345928037096996376931e-10
100 -1.56 7.58577575029183636887e-04 7.58577575029183528467e-04 7.58577575029183528466936170531198513344861567020416e-04
100 -1.27 2.88403150312660592341e-03 2.88403150312660548973e-03 2.88403150312660548973409113671095838071778416633606e-03
100 5.69 2.39883291901949462891e+11 2.39883291901949493408e+11 2.39883291901949493408203125000000000000000000000000e+11
100 6.78 3.63078054770101718750e+13 3.63078054770101796875e+13 3.63078054770101796875000000000000000000000000000000e+13
100 7.80 3.98107170553496900000e+15 3.98107170553496950000e+15 3.98107170553496950000000000000000000000000000000000e+15
differences: 603/198099
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youz commented Sep 11, 2022

openlibmは差が大量(19458件)だったので省略

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