Mercurial > dropbear
view demo/demo.c @ 2:86e0b50a9b58 libtommath-orig ltm-0.30-orig
ltm 0.30 orig import
author | Matt Johnston <matt@ucc.asn.au> |
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date | Mon, 31 May 2004 18:25:22 +0000 |
parents | |
children | d29b64170cf0 |
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#include <time.h> #define TESTING #ifdef IOWNANATHLON #include <unistd.h> #define SLEEP sleep(4) #else #define SLEEP #endif #include "tommath.h" #ifdef TIMER ulong64 _tt; #if defined(__i386__) || defined(_M_IX86) || defined(_M_AMD64) /* RDTSC from Scott Duplichan */ static ulong64 TIMFUNC (void) { #if defined __GNUC__ #ifdef __i386__ ulong64 a; __asm__ __volatile__ ("rdtsc ":"=A" (a)); return a; #else /* gcc-IA64 version */ unsigned long result; __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); while (__builtin_expect ((int) result == -1, 0)) __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory"); return result; #endif // Microsoft and Intel Windows compilers #elif defined _M_IX86 __asm rdtsc #elif defined _M_AMD64 return __rdtsc (); #elif defined _M_IA64 #if defined __INTEL_COMPILER #include <ia64intrin.h> #endif return __getReg (3116); #else #error need rdtsc function for this build #endif } #else #define TIMFUNC clock #endif ulong64 rdtsc(void) { return TIMFUNC() - _tt; } void reset(void) { _tt = TIMFUNC(); } #endif void ndraw(mp_int *a, char *name) { char buf[4096]; printf("%s: ", name); mp_toradix(a, buf, 64); printf("%s\n", buf); } static void draw(mp_int *a) { ndraw(a, ""); } unsigned long lfsr = 0xAAAAAAAAUL; int lbit(void) { if (lfsr & 0x80000000UL) { lfsr = ((lfsr << 1) ^ 0x8000001BUL) & 0xFFFFFFFFUL; return 1; } else { lfsr <<= 1; return 0; } } int myrng(unsigned char *dst, int len, void *dat) { int x; for (x = 0; x < len; x++) dst[x] = rand() & 0xFF; return len; } #define DO2(x) x; x; #define DO4(x) DO2(x); DO2(x); #define DO8(x) DO4(x); DO4(x); #define DO(x) DO8(x); DO8(x); char cmd[4096], buf[4096]; int main(void) { mp_int a, b, c, d, e, f; unsigned long expt_n, add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n, t; unsigned rr; int i, n, err, cnt, ix, old_kara_m, old_kara_s; #ifdef TIMER ulong64 tt, CLK_PER_SEC; FILE *log, *logb, *logc; #endif mp_init(&a); mp_init(&b); mp_init(&c); mp_init(&d); mp_init(&e); mp_init(&f); srand(time(NULL)); #ifdef TESTING // test mp_get_int printf("Testing: mp_get_int\n"); for(i=0;i<1000;++i) { t = (unsigned long)rand()*rand()+1; mp_set_int(&a,t); if (t!=mp_get_int(&a)) { printf("mp_get_int() bad result!\n"); return 1; } } mp_set_int(&a,0); if (mp_get_int(&a)!=0) { printf("mp_get_int() bad result!\n"); return 1; } mp_set_int(&a,0xffffffff); if (mp_get_int(&a)!=0xffffffff) { printf("mp_get_int() bad result!\n"); return 1; } // test mp_sqrt printf("Testing: mp_sqrt\n"); for (i=0;i<10000;++i) { printf("%6d\r", i); fflush(stdout); n = (rand()&15)+1; mp_rand(&a,n); if (mp_sqrt(&a,&b) != MP_OKAY) { printf("mp_sqrt() error!\n"); return 1; } mp_n_root(&a,2,&a); if (mp_cmp_mag(&b,&a) != MP_EQ) { printf("mp_sqrt() bad result!\n"); return 1; } } printf("\nTesting: mp_is_square\n"); for (i=0;i<100000;++i) { printf("%6d\r", i); fflush(stdout); /* test mp_is_square false negatives */ n = (rand()&7)+1; mp_rand(&a,n); mp_sqr(&a,&a); if (mp_is_square(&a,&n)!=MP_OKAY) { printf("fn:mp_is_square() error!\n"); return 1; } if (n==0) { printf("fn:mp_is_square() bad result!\n"); return 1; } /* test for false positives */ mp_add_d(&a, 1, &a); if (mp_is_square(&a,&n)!=MP_OKAY) { printf("fp:mp_is_square() error!\n"); return 1; } if (n==1) { printf("fp:mp_is_square() bad result!\n"); return 1; } } printf("\n\n"); #endif #ifdef TESTING /* test for size */ for (ix = 16; ix < 512; ix++) { printf("Testing (not safe-prime): %9d bits \r", ix); fflush(stdout); err = mp_prime_random_ex(&a, 8, ix, (rand()&1)?LTM_PRIME_2MSB_OFF:LTM_PRIME_2MSB_ON, myrng, NULL); if (err != MP_OKAY) { printf("failed with err code %d\n", err); return EXIT_FAILURE; } if (mp_count_bits(&a) != ix) { printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); return EXIT_FAILURE; } } for (ix = 16; ix < 512; ix++) { printf("Testing ( safe-prime): %9d bits \r", ix); fflush(stdout); err = mp_prime_random_ex(&a, 8, ix, ((rand()&1)?LTM_PRIME_2MSB_OFF:LTM_PRIME_2MSB_ON)|LTM_PRIME_SAFE, myrng, NULL); if (err != MP_OKAY) { printf("failed with err code %d\n", err); return EXIT_FAILURE; } if (mp_count_bits(&a) != ix) { printf("Prime is %d not %d bits!!!\n", mp_count_bits(&a), ix); return EXIT_FAILURE; } /* let's see if it's really a safe prime */ mp_sub_d(&a, 1, &a); mp_div_2(&a, &a); mp_prime_is_prime(&a, 8, &cnt); if (cnt != MP_YES) { printf("sub is not prime!\n"); return EXIT_FAILURE; } } printf("\n\n"); #endif #ifdef TESTING mp_read_radix(&a, "123456", 10); mp_toradix_n(&a, buf, 10, 3); printf("a == %s\n", buf); mp_toradix_n(&a, buf, 10, 4); printf("a == %s\n", buf); mp_toradix_n(&a, buf, 10, 30); printf("a == %s\n", buf); #endif #if 0 for (;;) { fgets(buf, sizeof(buf), stdin); mp_read_radix(&a, buf, 10); mp_prime_next_prime(&a, 5, 1); mp_toradix(&a, buf, 10); printf("%s, %lu\n", buf, a.dp[0] & 3); } #endif #if 0 { mp_word aa, bb; for (;;) { aa = abs(rand()) & MP_MASK; bb = abs(rand()) & MP_MASK; if (MULT(aa,bb) != (aa*bb)) { printf("%llu * %llu == %llu or %llu?\n", aa, bb, (ulong64)MULT(aa,bb), (ulong64)(aa*bb)); return 0; } } } #endif #ifdef TESTING /* test mp_cnt_lsb */ printf("testing mp_cnt_lsb...\n"); mp_set(&a, 1); for (ix = 0; ix < 1024; ix++) { if (mp_cnt_lsb(&a) != ix) { printf("Failed at %d, %d\n", ix, mp_cnt_lsb(&a)); return 0; } mp_mul_2(&a, &a); } #endif /* test mp_reduce_2k */ #ifdef TESTING printf("Testing mp_reduce_2k...\n"); for (cnt = 3; cnt <= 384; ++cnt) { mp_digit tmp; mp_2expt(&a, cnt); mp_sub_d(&a, 2, &a); /* a = 2**cnt - 2 */ printf("\nTesting %4d bits", cnt); printf("(%d)", mp_reduce_is_2k(&a)); mp_reduce_2k_setup(&a, &tmp); printf("(%d)", tmp); for (ix = 0; ix < 10000; ix++) { if (!(ix & 127)) {printf("."); fflush(stdout); } mp_rand(&b, (cnt/DIGIT_BIT + 1) * 2); mp_copy(&c, &b); mp_mod(&c, &a, &c); mp_reduce_2k(&b, &a, 1); if (mp_cmp(&c, &b)) { printf("FAILED\n"); exit(0); } } } #endif /* test mp_div_3 */ #ifdef TESTING printf("Testing mp_div_3...\n"); mp_set(&d, 3); for (cnt = 0; cnt < 1000000; ) { mp_digit r1, r2; if (!(++cnt & 127)) printf("%9d\r", cnt); mp_rand(&a, abs(rand()) % 128 + 1); mp_div(&a, &d, &b, &e); mp_div_3(&a, &c, &r2); if (mp_cmp(&b, &c) || mp_cmp_d(&e, r2)) { printf("\n\nmp_div_3 => Failure\n"); } } printf("\n\nPassed div_3 testing\n"); #endif /* test the DR reduction */ #ifdef TESTING printf("testing mp_dr_reduce...\n"); for (cnt = 2; cnt < 128; cnt++) { printf("%d digit modulus\n", cnt); mp_grow(&a, cnt); mp_zero(&a); for (ix = 1; ix < cnt; ix++) { a.dp[ix] = MP_MASK; } a.used = cnt; mp_prime_next_prime(&a, 3, 0); mp_rand(&b, cnt - 1); mp_copy(&b, &c); rr = 0; do { if (!(rr & 127)) { printf("%9lu\r", rr); fflush(stdout); } mp_sqr(&b, &b); mp_add_d(&b, 1, &b); mp_copy(&b, &c); mp_mod(&b, &a, &b); mp_dr_reduce(&c, &a, (1<<DIGIT_BIT)-a.dp[0]); if (mp_cmp(&b, &c) != MP_EQ) { printf("Failed on trial %lu\n", rr); exit(-1); } } while (++rr < 100000); printf("Passed DR test for %d digits\n", cnt); } #endif #ifdef TIMER /* temp. turn off TOOM */ TOOM_MUL_CUTOFF = TOOM_SQR_CUTOFF = 100000; reset(); sleep(1); CLK_PER_SEC = rdtsc(); printf("CLK_PER_SEC == %lu\n", CLK_PER_SEC); log = fopen("logs/add.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); reset(); rr = 0; do { DO(mp_add(&a,&b,&c)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); printf("Adding\t\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, (((ulong64)rr)*CLK_PER_SEC)/tt); fflush(log); } fclose(log); log = fopen("logs/sub.log", "w"); for (cnt = 8; cnt <= 128; cnt += 8) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); reset(); rr = 0; do { DO(mp_sub(&a,&b,&c)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); printf("Subtracting\t\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, (((ulong64)rr)*CLK_PER_SEC)/tt); fflush(log); } fclose(log); /* do mult/square twice, first without karatsuba and second with */ mult_test: old_kara_m = KARATSUBA_MUL_CUTOFF; old_kara_s = KARATSUBA_SQR_CUTOFF; for (ix = 0; ix < 2; ix++) { printf("With%s Karatsuba\n", (ix==0)?"out":""); KARATSUBA_MUL_CUTOFF = (ix==0)?9999:old_kara_m; KARATSUBA_SQR_CUTOFF = (ix==0)?9999:old_kara_s; log = fopen((ix==0)?"logs/mult.log":"logs/mult_kara.log", "w"); for (cnt = 32; cnt <= 288; cnt += 8) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); reset(); rr = 0; do { DO(mp_mul(&a, &b, &c)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); printf("Multiplying\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf(log, "%d %9llu\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt); fflush(log); } fclose(log); log = fopen((ix==0)?"logs/sqr.log":"logs/sqr_kara.log", "w"); for (cnt = 32; cnt <= 288; cnt += 8) { SLEEP; mp_rand(&a, cnt); reset(); rr = 0; do { DO(mp_sqr(&a, &b)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); printf("Squaring\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf(log, "%d %9llu\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt); fflush(log); } fclose(log); } expt_test: { char *primes[] = { /* 2K moduli mersenne primes */ "6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151", "531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728127", "10407932194664399081925240327364085538615262247266704805319112350403608059673360298012239441732324184842421613954281007791383566248323464908139906605677320762924129509389220345773183349661583550472959420547689811211693677147548478866962501384438260291732348885311160828538416585028255604666224831890918801847068222203140521026698435488732958028878050869736186900714720710555703168729087", "1475979915214180235084898622737381736312066145333169775147771216478570297878078949377407337049389289382748507531496480477281264838760259191814463365330269540496961201113430156902396093989090226259326935025281409614983499388222831448598601834318536230923772641390209490231836446899608210795482963763094236630945410832793769905399982457186322944729636418890623372171723742105636440368218459649632948538696905872650486914434637457507280441823676813517852099348660847172579408422316678097670224011990280170474894487426924742108823536808485072502240519452587542875349976558572670229633962575212637477897785501552646522609988869914013540483809865681250419497686697771007", "259117086013202627776246767922441530941818887553125427303974923161874019266586362086201209516800483406550695241733194177441689509238807017410377709597512042313066624082916353517952311186154862265604547691127595848775610568757931191017711408826252153849035830401185072116424747461823031471398340229288074545677907941037288235820705892351068433882986888616658650280927692080339605869308790500409503709875902119018371991620994002568935113136548829739112656797303241986517250116412703509705427773477972349821676443446668383119322540099648994051790241624056519054483690809616061625743042361721863339415852426431208737266591962061753535748892894599629195183082621860853400937932839420261866586142503251450773096274235376822938649407127700846077124211823080804139298087057504713825264571448379371125032081826126566649084251699453951887789613650248405739378594599444335231188280123660406262468609212150349937584782292237144339628858485938215738821232393687046160677362909315071", "190797007524439073807468042969529173669356994749940177394741882673528979787005053706368049835514900244303495954950709725762186311224148828811920216904542206960744666169364221195289538436845390250168663932838805192055137154390912666527533007309292687539092257043362517857366624699975402375462954490293259233303137330643531556539739921926201438606439020075174723029056838272505051571967594608350063404495977660656269020823960825567012344189908927956646011998057988548630107637380993519826582389781888135705408653045219655801758081251164080554609057468028203308718724654081055323215860189611391296030471108443146745671967766308925858547271507311563765171008318248647110097614890313562856541784154881743146033909602737947385055355960331855614540900081456378659068370317267696980001187750995491090350108417050917991562167972281070161305972518044872048331306383715094854938415738549894606070722584737978176686422134354526989443028353644037187375385397838259511833166416134323695660367676897722287918773420968982326089026150031515424165462111337527431154890666327374921446276833564519776797633875503548665093914556482031482248883127023777039667707976559857333357013727342079099064400455741830654320379350833236245819348824064783585692924881021978332974949906122664421376034687815350484991", /* DR moduli */ "14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203368612079", "101745825697019260773923519755878567461315282017759829107608914364075275235254395622580447400994175578963163918967182013639660669771108475957692810857098847138903161308502419410142185759152435680068435915159402496058513611411688900243039", "736335108039604595805923406147184530889923370574768772191969612422073040099331944991573923112581267542507986451953227192970402893063850485730703075899286013451337291468249027691733891486704001513279827771740183629161065194874727962517148100775228363421083691764065477590823919364012917984605619526140821797602431", "38564998830736521417281865696453025806593491967131023221754800625044118265468851210705360385717536794615180260494208076605798671660719333199513807806252394423283413430106003596332513246682903994829528690198205120921557533726473585751382193953592127439965050261476810842071573684505878854588706623484573925925903505747545471088867712185004135201289273405614415899438276535626346098904241020877974002916168099951885406379295536200413493190419727789712076165162175783", "542189391331696172661670440619180536749994166415993334151601745392193484590296600979602378676624808129613777993466242203025054573692562689251250471628358318743978285860720148446448885701001277560572526947619392551574490839286458454994488665744991822837769918095117129546414124448777033941223565831420390846864429504774477949153794689948747680362212954278693335653935890352619041936727463717926744868338358149568368643403037768649616778526013610493696186055899318268339432671541328195724261329606699831016666359440874843103020666106568222401047720269951530296879490444224546654729111504346660859907296364097126834834235287147", "1487259134814709264092032648525971038895865645148901180585340454985524155135260217788758027400478312256339496385275012465661575576202252063145698732079880294664220579764848767704076761853197216563262660046602703973050798218246170835962005598561669706844469447435461092542265792444947706769615695252256130901271870341005768912974433684521436211263358097522726462083917939091760026658925757076733484173202927141441492573799914240222628795405623953109131594523623353044898339481494120112723445689647986475279242446083151413667587008191682564376412347964146113898565886683139407005941383669325997475076910488086663256335689181157957571445067490187939553165903773554290260531009121879044170766615232300936675369451260747671432073394867530820527479172464106442450727640226503746586340279816318821395210726268291535648506190714616083163403189943334431056876038286530365757187367147446004855912033137386225053275419626102417236133948503", "1095121115716677802856811290392395128588168592409109494900178008967955253005183831872715423151551999734857184538199864469605657805519106717529655044054833197687459782636297255219742994736751541815269727940751860670268774903340296040006114013971309257028332849679096824800250742691718610670812374272414086863715763724622797509437062518082383056050144624962776302147890521249477060215148275163688301275847155316042279405557632639366066847442861422164832655874655824221577849928863023018366835675399949740429332468186340518172487073360822220449055340582568461568645259954873303616953776393853174845132081121976327462740354930744487429617202585015510744298530101547706821590188733515880733527449780963163909830077616357506845523215289297624086914545378511082534229620116563260168494523906566709418166011112754529766183554579321224940951177394088465596712620076240067370589036924024728375076210477267488679008016579588696191194060127319035195370137160936882402244399699172017835144537488486396906144217720028992863941288217185353914991583400421682751000603596655790990815525126154394344641336397793791497068253936771017031980867706707490224041075826337383538651825493679503771934836094655802776331664261631740148281763487765852746577808019633679", /* generic unrestricted moduli */ "17933601194860113372237070562165128350027320072176844226673287945873370751245439587792371960615073855669274087805055507977323024886880985062002853331424203", "2893527720709661239493896562339544088620375736490408468011883030469939904368086092336458298221245707898933583190713188177399401852627749210994595974791782790253946539043962213027074922559572312141181787434278708783207966459019479487", "347743159439876626079252796797422223177535447388206607607181663903045907591201940478223621722118173270898487582987137708656414344685816179420855160986340457973820182883508387588163122354089264395604796675278966117567294812714812796820596564876450716066283126720010859041484786529056457896367683122960411136319", "47266428956356393164697365098120418976400602706072312735924071745438532218237979333351774907308168340693326687317443721193266215155735814510792148768576498491199122744351399489453533553203833318691678263241941706256996197460424029012419012634671862283532342656309677173602509498417976091509154360039893165037637034737020327399910409885798185771003505320583967737293415979917317338985837385734747478364242020380416892056650841470869294527543597349250299539682430605173321029026555546832473048600327036845781970289288898317888427517364945316709081173840186150794397479045034008257793436817683392375274635794835245695887", "436463808505957768574894870394349739623346440601945961161254440072143298152040105676491048248110146278752857839930515766167441407021501229924721335644557342265864606569000117714935185566842453630868849121480179691838399545644365571106757731317371758557990781880691336695584799313313687287468894148823761785582982549586183756806449017542622267874275103877481475534991201849912222670102069951687572917937634467778042874315463238062009202992087620963771759666448266532858079402669920025224220613419441069718482837399612644978839925207109870840278194042158748845445131729137117098529028886770063736487420613144045836803985635654192482395882603511950547826439092832800532152534003936926017612446606135655146445620623395788978726744728503058670046885876251527122350275750995227", "11424167473351836398078306042624362277956429440521137061889702611766348760692206243140413411077394583180726863277012016602279290144126785129569474909173584789822341986742719230331946072730319555984484911716797058875905400999504305877245849119687509023232790273637466821052576859232452982061831009770786031785669030271542286603956118755585683996118896215213488875253101894663403069677745948305893849505434201763745232895780711972432011344857521691017896316861403206449421332243658855453435784006517202894181640562433575390821384210960117518650374602256601091379644034244332285065935413233557998331562749140202965844219336298970011513882564935538704289446968322281451907487362046511461221329799897350993370560697505809686438782036235372137015731304779072430260986460269894522159103008260495503005267165927542949439526272736586626709581721032189532726389643625590680105784844246152702670169304203783072275089194754889511973916207", "1214855636816562637502584060163403830270705000634713483015101384881871978446801224798536155406895823305035467591632531067547890948695117172076954220727075688048751022421198712032848890056357845974246560748347918630050853933697792254955890439720297560693579400297062396904306270145886830719309296352765295712183040773146419022875165382778007040109957609739589875590885701126197906063620133954893216612678838507540777138437797705602453719559017633986486649523611975865005712371194067612263330335590526176087004421363598470302731349138773205901447704682181517904064735636518462452242791676541725292378925568296858010151852326316777511935037531017413910506921922450666933202278489024521263798482237150056835746454842662048692127173834433089016107854491097456725016327709663199738238442164843147132789153725513257167915555162094970853584447993125488607696008169807374736711297007473812256272245489405898470297178738029484459690836250560495461579533254473316340608217876781986188705928270735695752830825527963838355419762516246028680280988020401914551825487349990306976304093109384451438813251211051597392127491464898797406789175453067960072008590614886532333015881171367104445044718144312416815712216611576221546455968770801413440778423979", NULL }; log = fopen("logs/expt.log", "w"); logb = fopen("logs/expt_dr.log", "w"); logc = fopen("logs/expt_2k.log", "w"); for (n = 0; primes[n]; n++) { SLEEP; mp_read_radix(&a, primes[n], 10); mp_zero(&b); for (rr = 0; rr < mp_count_bits(&a); rr++) { mp_mul_2(&b, &b); b.dp[0] |= lbit(); b.used += 1; } mp_sub_d(&a, 1, &c); mp_mod(&b, &c, &b); mp_set(&c, 3); reset(); rr = 0; do { DO(mp_exptmod(&c, &b, &a, &d)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); mp_sub_d(&a, 1, &e); mp_sub(&e, &b, &b); mp_exptmod(&c, &b, &a, &e); /* c^(p-1-b) mod a */ mp_mulmod(&e, &d, &a, &d); /* c^b * c^(p-1-b) == c^p-1 == 1 */ if (mp_cmp_d(&d, 1)) { printf("Different (%d)!!!\n", mp_count_bits(&a)); draw(&d); exit(0); } printf("Exponentiating\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf((n < 6) ? logc : (n < 13) ? logb : log, "%d %9llu\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt); } } fclose(log); fclose(logb); fclose(logc); log = fopen("logs/invmod.log", "w"); for (cnt = 4; cnt <= 128; cnt += 4) { SLEEP; mp_rand(&a, cnt); mp_rand(&b, cnt); do { mp_add_d(&b, 1, &b); mp_gcd(&a, &b, &c); } while (mp_cmp_d(&c, 1) != MP_EQ); reset(); rr = 0; do { DO(mp_invmod(&b, &a, &c)); rr += 16; } while (rdtsc() < (CLK_PER_SEC * 2)); tt = rdtsc(); mp_mulmod(&b, &c, &a, &d); if (mp_cmp_d(&d, 1) != MP_EQ) { printf("Failed to invert\n"); return 0; } printf("Inverting mod\t%4d-bit => %9llu/sec, %9llu ticks\n", mp_count_bits(&a), (((ulong64)rr)*CLK_PER_SEC)/tt, tt); fprintf(log, "%d %9llu\n", cnt*DIGIT_BIT, (((ulong64)rr)*CLK_PER_SEC)/tt); } fclose(log); return 0; #endif div2_n = mul2_n = inv_n = expt_n = lcm_n = gcd_n = add_n = sub_n = mul_n = div_n = sqr_n = mul2d_n = div2d_n = cnt = add_d_n = sub_d_n= 0; /* force KARA and TOOM to enable despite cutoffs */ KARATSUBA_SQR_CUTOFF = KARATSUBA_MUL_CUTOFF = 110; TOOM_SQR_CUTOFF = TOOM_MUL_CUTOFF = 150; for (;;) { /* randomly clear and re-init one variable, this has the affect of triming the alloc space */ switch (abs(rand()) % 7) { case 0: mp_clear(&a); mp_init(&a); break; case 1: mp_clear(&b); mp_init(&b); break; case 2: mp_clear(&c); mp_init(&c); break; case 3: mp_clear(&d); mp_init(&d); break; case 4: mp_clear(&e); mp_init(&e); break; case 5: mp_clear(&f); mp_init(&f); break; case 6: break; /* don't clear any */ } printf("%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu/%4lu ", add_n, sub_n, mul_n, div_n, sqr_n, mul2d_n, div2d_n, gcd_n, lcm_n, expt_n, inv_n, div2_n, mul2_n, add_d_n, sub_d_n); fgets(cmd, 4095, stdin); cmd[strlen(cmd)-1] = 0; printf("%s ]\r",cmd); fflush(stdout); if (!strcmp(cmd, "mul2d")) { ++mul2d_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); sscanf(buf, "%d", &rr); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_mul_2d(&a, rr, &a); a.sign = b.sign; if (mp_cmp(&a, &b) != MP_EQ) { printf("mul2d failed, rr == %d\n",rr); draw(&a); draw(&b); return 0; } } else if (!strcmp(cmd, "div2d")) { ++div2d_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); sscanf(buf, "%d", &rr); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_div_2d(&a, rr, &a, &e); a.sign = b.sign; if (a.used == b.used && a.used == 0) { a.sign = b.sign = MP_ZPOS; } if (mp_cmp(&a, &b) != MP_EQ) { printf("div2d failed, rr == %d\n",rr); draw(&a); draw(&b); return 0; } } else if (!strcmp(cmd, "add")) { ++add_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_add(&d, &b, &d); if (mp_cmp(&c, &d) != MP_EQ) { printf("add %lu failure!\n", add_n); draw(&a);draw(&b);draw(&c);draw(&d); return 0; } /* test the sign/unsigned storage functions */ rr = mp_signed_bin_size(&c); mp_to_signed_bin(&c, (unsigned char *)cmd); memset(cmd+rr, rand()&255, sizeof(cmd)-rr); mp_read_signed_bin(&d, (unsigned char *)cmd, rr); if (mp_cmp(&c, &d) != MP_EQ) { printf("mp_signed_bin failure!\n"); draw(&c); draw(&d); return 0; } rr = mp_unsigned_bin_size(&c); mp_to_unsigned_bin(&c, (unsigned char *)cmd); memset(cmd+rr, rand()&255, sizeof(cmd)-rr); mp_read_unsigned_bin(&d, (unsigned char *)cmd, rr); if (mp_cmp_mag(&c, &d) != MP_EQ) { printf("mp_unsigned_bin failure!\n"); draw(&c); draw(&d); return 0; } } else if (!strcmp(cmd, "sub")) { ++sub_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_sub(&d, &b, &d); if (mp_cmp(&c, &d) != MP_EQ) { printf("sub %lu failure!\n", sub_n); draw(&a);draw(&b);draw(&c);draw(&d); return 0; } } else if (!strcmp(cmd, "mul")) { ++mul_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_mul(&d, &b, &d); if (mp_cmp(&c, &d) != MP_EQ) { printf("mul %lu failure!\n", mul_n); draw(&a);draw(&b);draw(&c);draw(&d); return 0; } } else if (!strcmp(cmd, "div")) { ++div_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&d, buf, 64); mp_div(&a, &b, &e, &f); if (mp_cmp(&c, &e) != MP_EQ || mp_cmp(&d, &f) != MP_EQ) { printf("div %lu failure!\n", div_n); draw(&a);draw(&b);draw(&c);draw(&d); draw(&e); draw(&f); return 0; } } else if (!strcmp(cmd, "sqr")) { ++sqr_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_copy(&a, &c); mp_sqr(&c, &c); if (mp_cmp(&b, &c) != MP_EQ) { printf("sqr %lu failure!\n", sqr_n); draw(&a);draw(&b);draw(&c); return 0; } } else if (!strcmp(cmd, "gcd")) { ++gcd_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_gcd(&d, &b, &d); d.sign = c.sign; if (mp_cmp(&c, &d) != MP_EQ) { printf("gcd %lu failure!\n", gcd_n); draw(&a);draw(&b);draw(&c);draw(&d); return 0; } } else if (!strcmp(cmd, "lcm")) { ++lcm_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_copy(&a, &d); mp_lcm(&d, &b, &d); d.sign = c.sign; if (mp_cmp(&c, &d) != MP_EQ) { printf("lcm %lu failure!\n", lcm_n); draw(&a);draw(&b);draw(&c);draw(&d); return 0; } } else if (!strcmp(cmd, "expt")) { ++expt_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&d, buf, 64); mp_copy(&a, &e); mp_exptmod(&e, &b, &c, &e); if (mp_cmp(&d, &e) != MP_EQ) { printf("expt %lu failure!\n", expt_n); draw(&a);draw(&b);draw(&c);draw(&d); draw(&e); return 0; } } else if (!strcmp(cmd, "invmod")) { ++inv_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&c, buf, 64); mp_invmod(&a, &b, &d); mp_mulmod(&d,&a,&b,&e); if (mp_cmp_d(&e, 1) != MP_EQ) { printf("inv [wrong value from MPI?!] failure\n"); draw(&a);draw(&b);draw(&c);draw(&d); mp_gcd(&a, &b, &e); draw(&e); return 0; } } else if (!strcmp(cmd, "div2")) { ++div2_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_div_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { printf("div_2 %lu failure\n", div2_n); draw(&a); draw(&b); draw(&c); return 0; } } else if (!strcmp(cmd, "mul2")) { ++mul2_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_mul_2(&a, &c); if (mp_cmp(&c, &b) != MP_EQ) { printf("mul_2 %lu failure\n", mul2_n); draw(&a); draw(&b); draw(&c); return 0; } } else if (!strcmp(cmd, "add_d")) { ++add_d_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); sscanf(buf, "%d", &ix); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_add_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { printf("add_d %lu failure\n", add_d_n); draw(&a); draw(&b); draw(&c); printf("d == %d\n", ix); return 0; } } else if (!strcmp(cmd, "sub_d")) { ++sub_d_n; fgets(buf, 4095, stdin); mp_read_radix(&a, buf, 64); fgets(buf, 4095, stdin); sscanf(buf, "%d", &ix); fgets(buf, 4095, stdin); mp_read_radix(&b, buf, 64); mp_sub_d(&a, ix, &c); if (mp_cmp(&b, &c) != MP_EQ) { printf("sub_d %lu failure\n", sub_d_n); draw(&a); draw(&b); draw(&c); printf("d == %d\n", ix); return 0; } } } return 0; }