From 210ab52839a7fee84d0cbc77d023c7a0471ead8e Mon Sep 17 00:00:00 2001 From: Caleb Date: Tue, 18 Aug 2020 12:19:07 -0400 Subject: [PATCH] cubing analysis --- cubing/NUCUBE.pdf | Bin 0 -> 138443 bytes cubing/antic.c | 72 ++++++++++++++++++++++++++++++ cubing/bench.sh | 43 ++++++++++++++++++ cubing/form_common.h | 27 ++++++++++++ cubing/gcdinv.c | 17 +++++++ cubing/libq | Bin 0 -> 6003336 bytes cubing/libq.c | 103 +++++++++++++++++++++++++++++++++++++++++++ cubing/long_bench.sh | 31 +++++++++++++ 8 files changed, 293 insertions(+) create mode 100644 cubing/NUCUBE.pdf create mode 100644 cubing/antic.c create mode 100755 cubing/bench.sh create mode 100644 cubing/form_common.h create mode 100644 cubing/gcdinv.c create mode 100755 cubing/libq create mode 100644 cubing/libq.c create mode 100755 cubing/long_bench.sh diff --git a/cubing/NUCUBE.pdf b/cubing/NUCUBE.pdf new file mode 100644 index 0000000000000000000000000000000000000000..7d1e2ebd2cc0b95cd773326af8df1f1572ee0793 GIT binary patch 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atoi(argv[3]); + mpz_t D; + mpz_qform_group_t group; + mpz_qform_t form; + uint64_t start; + + mpz_init_set_str(D, MAIN_DISCR, 10); + + mpz_qform_group_init(&group); + mpz_qform_group_set_discriminant(&group, D); + mpz_qform_init(&group, &form); + /*mpz_qform_set_id(&group, &form);*/ + mpz_set_ui(form.a, 2); + mpz_set_ui(form.b, 1); + mpz_qform_c(&group, form.c, form.a, form.b); + d_size = __GMP_ABS(D->_mp_size); + //d_size = 8; + + clock_t clock_start, clock_end; + double cube_avg, reduce_avg; + + if (square == 1 && reduce == 1) { + start = get_time(); + for (i = 0; i < iters; i++) { + /*clock_start = clock(); + mpz_qform_square(&group, &form, &form); + clock_end = clock(); + cube_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC)); + + clock_start = clock(); + mpz_qform_reduce(&group, &form); + clock_end = clock(); + reduce_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC)); + n_reductions++;*/ + + mpz_qform_square(&group, &form, &form); + mpz_qform_reduce(&group, &form); + n_reductions++; + } + } else if (square == 1 && reduce == 0) { + start = get_time(); + for (i = 0; i < iters; i++) { + /*clock_start = clock(); + mpz_qform_square(&group, &form, &form); + clock_end = clock(); + cube_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC));*/ + + mpz_qform_square(&group, &form, &form); + } + } else if (square == 0 && reduce == 1) { + start = get_time(); + for (i = 0; i < iters; i++) { + /*clock_start = clock(); + mpz_qform_cube(&group, &form, &form); + clock_end = clock(); + cube_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC)); + + clock_start = clock(); + mpz_qform_reduce(&group, &form); + clock_end = clock(); + reduce_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC)); + n_reductions++;*/ + + mpz_qform_cube(&group, &form, &form); + mpz_qform_reduce(&group, &form); + n_reductions++; + } + } else if (square == 0 && reduce == 0) { + start = get_time(); + for (i = 0; i < iters; i++) { + /*clock_start = clock(); + mpz_qform_cube(&group, &form, &form); + clock_end = clock(); + cube_avg += ((double) (clock_end - clock_start)) / ((double)(CLOCKS_PER_SEC));*/ + + mpz_qform_cube(&group, &form, &form); + + } + } + mpz_qform_reduce(&group, &form); + runtime = (int)((get_time() - start) / 1000000); + /*gmp_printf("a = %#Zx\nb = %#Zx\nc = %#Zx\n", form.a, form.b, form.c);*/ + gmp_printf("a = %#Zx\nb = %#Zx\n", form.a, form.b); + gmp_printf("D = %#Zx\nL = %#Zx\n", D, group.L); + + runtime = runtime ? runtime : 1; + printf("Time: %d ms; speed: %dK ips\n", runtime, iters / runtime); + printf("n_reductions: %d\n", n_reductions); + //printf("cube avg: %f\n", cube_avg); + //printf("reduce avg: %f\n", reduce_avg); + mpz_clear(D); + return 0; +} diff --git a/cubing/long_bench.sh b/cubing/long_bench.sh new file mode 100755 index 00000000..bb20ede2 --- /dev/null +++ b/cubing/long_bench.sh @@ -0,0 +1,31 @@ +#!/bin/bash +make -B libq; + +for i in {0..1} +do + + for j in {0..1} + do + if [ "$i" == 0 ]; then + if [ "$j" == 0 ]; then + printf "\n\ncubing never reducing\n\n" + else + printf "\n\ncubing always reducing\n\n" + fi + else + if [ "$j" == 0 ] ; then + printf "\n\nsquaring never reducing\n\n" + else + printf "\n\nsquaring always reducing\n\n" + fi + fi + + if [ "$i" == 1 ]; then + ./libq 30000000 "$i" "$j"; + else + ./libq 18927892 "$i" "$j"; + fi + printf "\n" + + done +done

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b, c);*/ + gmp_printf("a = %#Zx\nb = %#Zx\n", a, b); + + mpz_clears(a, b, c, NULL); +} + +int main(int argc, char **argv) +{ + int i, iters = atoi(argv[1]), runtime, d_size, n_reductions = 0; + fmpz_t D, L; + qfb_t form; + uint64_t start; + + fmpz_init(D); + fmpz_set_str(D, MAIN_DISCR, 10); + + qfb_init(form); + fmpz_set_ui(form->a, 2); + fmpz_set_ui(form->b, 1); + qfb_find_c(form, D); + d_size = __GMP_ABS(COEFF_TO_PTR(*D)->_mp_size); + + fmpz_init(L); + fmpz_neg(L, D); + fmpz_root(L, L, 4); + + start = get_time(); + for (i = 0; i < iters; i++) { + qfb_nudupl(form, form, D, L); + /*qfb_nucomp(form, form, form, D, L);*/ + if (COEFF_IS_MPZ(*form->a) && + __GMP_ABS(COEFF_TO_PTR(*form->a)->_mp_size) > d_size) { + qfb_reduce(form, form, D); + n_reductions++; + } + /*printf("iter = %d\n", i);*/ + /*print_form(form);*/ + } + qfb_reduce(form, form, D); + print_form(form); + /*gmp_printf("D = %#Zx\nL = %#Zx\n", COEFF_TO_PTR(*D), COEFF_TO_PTR(*L));*/ + + runtime = (int)((get_time() - start) / 1000000); + + runtime = runtime ? runtime : 1; + printf("Time: %d ms; speed: %dK ips\n", runtime, iters / runtime); + printf("n_reductions: %d\n", n_reductions); + + fmpz_clear(D); + qfb_clear(form); + fmpz_clear(L); + return 0; +} diff --git a/cubing/bench.sh b/cubing/bench.sh new file mode 100755 index 00000000..eecd9f5e --- /dev/null +++ b/cubing/bench.sh @@ -0,0 +1,43 @@ +#!/bin/bash +make -B libq; + +for i in {0..1} +do + + for j in {0..1} + do + if [ "$i" == 0 ]; then + if [ "$j" == 0 ]; then + printf "\n\ncubing never reducing\n\n" + else + printf "\n\ncubing always reducing\n\n" + fi + else + if [ "$j" == 0 ] ; then + printf "\n\nsquaring never reducing\n\n" + else + printf "\n\nsquaring always reducing\n\n" + fi + fi + + for k in {1..5} + do + if [ "$i" == 1 ]; then + ./libq 1000000 "$i" "$j"; + else + ./libq 630929 "$i" "$j"; + fi + printf "\n" + done + + for k in {1..3} + do + if [ "$i" == 1 ]; then + ./libq 10000000 "$i" "$j"; + else + ./libq 6309297 "$i" "$j"; + fi + printf "\n" + done + done +done diff --git a/cubing/form_common.h b/cubing/form_common.h new file mode 100644 index 00000000..918ea0c1 --- /dev/null +++ b/cubing/form_common.h @@ -0,0 +1,27 @@ +#ifndef _FORM_COMMON_H +#define _FORM_COMMON_H + +#include +#include + +static uint64_t get_time(void) +{ + struct timespec ts; + clock_gettime(CLOCK_MONOTONIC, &ts); + return ts.tv_sec * 1000000000 + ts.tv_nsec; +} + +//#define MAIN_DISCR "-141140317794792668862943332656856519378482291428727287413318722089216448567155737094768903643716404517549715385664163360316296284155310058980984373770517398492951860161717960368874227473669336541818575166839209228684755811071416376384551902149780184532086881683576071479646499601330824259260645952517205526679" +//#define MAIN_DISCR "-27793237001305170698656509497755844092586386872496295629779837507971117559354691523581890478176914693359675630301087242227995550958743592046124379271342523117944672201940224307563498623282396336043787901362415643315794359898423628976229444385132461815183120709043651974544581523175645485793883889543615011559151806508862786144831212673747194337362835767292592316842392285011597319847853278165631070684231627247677822273593999074723433871243030768063363559931194419142809976257675348498631355931756891791994467558601521208397038790339158400191945339609224183625935566879000287625158572127711542235803324639115306136663" +//#define MAIN_DISCR "-127164462567847778219294467290798377711838589019145190353449816167344564110074781472688725188393418671695166379136185123981715928520244618453846477324756550462271161980528136156888957489523978997469231408034701544783191950766365099765349852625276283636470182602947454694471830519159273251751637689469616413503" +//#define MAIN_DISCR "-22860268135667589903208331872058959644142720896076490823036956523426871243057005623505476986654689939375998245856993161024948296872170534869221722135644973959012888002949501494113381338789280303679733080730438033019666639966900351382828082678005982175916602634000534350896624481506431434777044646876008529391876870048240213603396995410840224417690158196925755814193658109752326536604932474550333192155457005596353353830007682583292452152740351360124232916300019971396822173991978324891202726049248875578742068807587094918402232524218740688217013728548119820088136470614150744917910151631117447073386272668820859492199" + +//#define MAIN_DISCR "-23691568091548358017259637993407812230314418165147795386600373329848215683771213857667362169693733008362778716574316997235267858700764119559861600956511256676232855938030698277199034345585030857367890503704506447852347056438495676751737058302712794260556978257255965420246256846535943700876456389936134171956545720945246308667940474052840791070914617357917504498950677428796391022066582256269060483532160164032601359274999843795007300555505628490825410097167679058715770442045778766944473863675430083574437852351295513093909413328168246461511861248888011238680533933347710420259769808235209837173054653629903258229223" +//#define MAIN_DISCR "-131788722068868995676597214155436530472810282104737608756485556614199943757271803669298052494822291665034138798731021924874395047959731936765171871991647982416831489547155946335728383690668539299047258214816845534257572287426350486052693277642931121286508704257275935248327283501566536594501890379884486903911" +#define MAIN_DISCR "-969542699839054213372756559081910261441572422049388279625057157914202573360476290538815084697016462533388018735857321275506472384116240431785651216842959700128207943153983702474771102417387067347954346010356753016781727718574844132457619818698134815371641287044279847846275781176210603265454227056201158552573373773308561536662653342433902035123958154319968493251665600024115268400788938644094045994623652444864289771665567412616405769135935620452382181651024012003257231298780350936606371667877988153352960951634013487235084185036501677385853912933220162974237910499109717515866315851982998050811889588467143598487581205367725385532250549352416245306164187176208711916465352732276759679438902318164735287291748441312225690698711484313234604936835826106150105179375497617419062393768508562366809053711125023442870179292917714278404500388652695814692602797907499014513338598109925496781256172390922050380407995004880095758153500180375851683462554992615514679303768539269778635645135306306559794161311351719718250980914786323272355574377305077401138916026674240156995369222389109902008973646843670232766516601516952329889013977779221308266668007503272646122932622881201681461709975882786411252681993719982707487477366128585267709405879" +//#define MAIN_DISCR "-10803348631530927498051139133692244575660405578875230976223327234876122403281659421806531129062326072200502709281708716321227674097332898098036720510889559" +//#define MAIN_DISCR "-9000330564166397509327590423889038062715879572962212921450570485956142854985901051805676903273940331395686458091858430390002283902379278168223089959414511" + +//#define MAIN_DISCR "-102522683075961319165911365929379221882824975317180317196283357569799441166543" +//#define MAIN_DISCR "-309361850110207312103360594127882960623" +#endif /* _FORM_COMMON_H */ diff --git a/cubing/gcdinv.c b/cubing/gcdinv.c new file mode 100644 index 00000000..3904bb3d --- /dev/null +++ b/cubing/gcdinv.c @@ -0,0 +1,17 @@ +#include "flint/fmpz.h" + +int main() +{ + fmpz_t a, b, d, inv; + unsigned int gcd; + + fmpz_init_set_ui(a, 67309); + fmpz_init_set_ui(b, 65536); + fmpz_init(d); + fmpz_init(inv); + + fmpz_gcdinv(d, inv, a, b); + gcd = fmpz_get_ui(d); + printf("gcd = %d\n", gcd); + return 0; +} diff --git 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