#include <9pm/os.h> #include <9pm/mp.h> #include <9pm/stdio.h> int loops = 1; long randomreg; char *argv0; #define ARGBEGIN for((argv0? 0: (argv0=*argv)),argv++,argc--;\ argv[0] && argv[0][0]=='-' && argv[0][1];\ argc--, argv++) {\ char *_args, *_argt;\ char _argc;\ _args = &argv[0][1];\ if(_args[0]=='-' && _args[1]==0){\ argc--; argv++; break;\ }\ _argc = 0;\ while(*_args && (_argc = *_args++))\ switch(_argc) #define ARGEND } #define ARGF() (_argt=_args, _args="",\ (*_argt? _argt: argv[1]? (argc--, *++argv): 0)) #define ARGC() _argc #define S(b) mptoa(b,0,0,0) void myrand(long seed) { randomreg = seed; } long lrand(void) { randomreg = randomreg*104381 + 81761; return randomreg; } void prng(uchar *p, int n) { while(n-- > 0) *p++ = lrand(); } void testconv(char *str) { mpint *b; char *p; b = strtomp(str, nil, 16, nil); p = mptoa(b, 10, nil, 0); printf("%s = ", p); strtomp(p, nil, 10, b); free(p); printf("%s\n", S(b)); p = mptoa(b, 16, nil, 0); printf("%s = ", p); strtomp(p, nil, 16, b); free(p); printf("%s\n", S(b)); p = mptoa(b, 32, nil, 0); printf("%s = ", p); strtomp(p, nil, 32, b); free(p); printf("%s\n", S(b)); p = mptoa(b, 64, nil, 0); printf("%s = ", p); strtomp(p, nil, 64, b); free(p); printf("%s\n", S(b)); mpfree(b); } void testshift(char *str) { mpint *b1, *b2; int i; b1 = strtomp(str, nil, 16, nil); b2 = mpnew(0); for(i = 0; i < 64; i++){ mpleft(b1, i, b2); printf("%2.2d %s\n", i, S(b2)); } for(i = 0; i < 64; i++){ mpright(b2, i, b1); printf("%2.2d %s\n", i, S(b1)); } mpfree(b1); mpfree(b2); } void testaddsub(char *str) { mpint *b1, *b2; int i; b1 = strtomp(str, nil, 16, nil); b2 = mpnew(0); for(i = 0; i < 16; i++){ mpadd(b1, b2, b2); printf("%2.2d %s\n", i, S(b2)); } for(i = 0; i < 16; i++){ mpsub(b2, b1, b2); printf("%2.2d %s\n", i, S(b2)); } mpfree(b1); mpfree(b2); } vlong nsec() { return 0; } void testvecdigmuladd(char *str, mpdigit d) { mpint *b, *b2; int i; vlong now; b = strtomp(str, nil, 16, nil); b2 = mpnew(0); mpbits(b2, (b->top+1)*Dbits); now = nsec(); for(i = 0; i < loops; i++){ memset(b2->p, 0, b2->top*Dbytes); mpvecdigmuladd(b->p, b->top, d, b2->p); } if(loops > 1) printf("%lld ns for a %d*%d vecdigmul\n", (nsec()-now)/loops, b->top*Dbits, Dbits); mpnorm(b2); printf("0 + %s * %x = %s\n", S(b), d, S(b2)); mpfree(b); mpfree(b2); } void testvecdigmulsub(char *str, mpdigit d) { mpint *b, *b2; int i; vlong now; b = strtomp(str, nil, 16, nil); b2 = mpnew(0); mpbits(b2, (b->top+1)*Dbits); now = nsec(); for(i = 0; i < loops; i++){ memset(b2->p, 0, b2->top*Dbytes); mpvecdigmulsub(b->p, b->top, d, b2->p); } if(loops > 1) printf("%lld ns for a %d*%d vecdigmul\n", (nsec()-now)/loops, b->top*Dbits, Dbits); mpnorm(b2); printf("0 - %s * %x = %s\n", S(b), d, S(b2)); mpfree(b); mpfree(b2); } void testmul(char *str) { mpint *b, *b1, *b2; vlong now; int i; b = strtomp(str, nil, 16, nil); b1 = mpcopy(b); b2 = mpnew(0); now = nsec(); for(i = 0; i < loops; i++) mpmul(b, b1, b2); if(loops > 1) printf("%lld µs for a %d*%d mult\n", (nsec()-now)/(loops*1000), b->top*Dbits, b1->top*Dbits); printf("%s * %s = %s\n", S(b), S(b1), S(b2)); mpfree(b); mpfree(b1); mpfree(b2); } void testmul2(mpint *b, mpint *b1) { mpint *b2; vlong now; int i; b2 = mpnew(0); now = nsec(); for(i = 0; i < loops; i++) mpmul(b, b1, b2); if(loops > 1) printf("%lld µs for a %d*%d mult\n", (nsec()-now)/(loops*1000), b->top*Dbits, b1->top*Dbits); printf("%s * ", S(b)); printf("%s = ", S(b1)); printf("%s\n", S(b2)); mpfree(b2); } void testdigdiv(char *str, mpdigit d) { mpint *b; mpdigit q; int i; vlong now; b = strtomp(str, nil, 16, nil); now = nsec(); for(i = 0; i < loops; i++) mpdigdiv(b->p, d, &q); if(loops > 1) printf("%lld ns for a %d / %d div\n", (nsec()-now)/loops, 2*Dbits, Dbits); printf("%s / %x = %x\n", mptoa(b,0,0,0), d, q); mpfree(b); } void testdiv(mpint *x, mpint *y) { mpint *b2, *b3; vlong now; int i; b2 = mpnew(0); b3 = mpnew(0); now = nsec(); for(i = 0; i < loops; i++) mpdiv(x, y, b2, b3); if(loops > 1) printf("%lld µs for a %d/%d div\n", (nsec()-now)/(1000*loops), x->top*Dbits, y->top*Dbits); printf("%s / %s = %s %s\n", S(x), S(y), S(b2), S(b3)); mpfree(b2); mpfree(b3); } void testmod(mpint *x, mpint *y) { mpint *r; vlong now; int i; r = mpnew(0); now = nsec(); for(i = 0; i < loops; i++) mpmod(x, y, r); if(loops > 1) printf("%lld µs for a %d/%d mod\n", (nsec()-now)/(1000*loops), x->top*Dbits, y->top*Dbits); printf("%s mod %s = %s\n", S(x), S(y), S(r)); mpfree(r); } void testinvert(mpint *x, mpint *y) { mpint *r, *d1, *d2; vlong now; int i; r = mpnew(0); d1 = mpnew(0); d2 = mpnew(0); now = nsec(); mpextendedgcd(x, y, r, d1, d2); mpdiv(x, r, x, d1); mpdiv(y, r, y, d1); for(i = 0; i < loops; i++) mpinvert(x, y, r); if(loops > 1) printf("%lld µs for a %d in %d invert\n", (nsec()-now)/(1000*loops), x->top*Dbits, y->top*Dbits); printf("%s**-1 mod %s = %s\n", S(x), S(y), S(r)); mpmul(r, x, d1); mpmod(d1, y, d2); printf("%s*%s mod %s = %s\n", S(x), S(r), S(y), S(d2)); mpfree(r); mpfree(d1); mpfree(d2); } void testsub1(char *a, char *b) { mpint *b1, *b2, *b3; b1 = strtomp(a, nil, 16, nil); b2 = strtomp(b, nil, 16, nil); b3 = mpnew(0); mpsub(b1, b2, b3); printf("%s - %s = %s\n", S(b1), S(b2), S(b3)); } void testmul1(char *a, char *b) { mpint *b1, *b2, *b3; b1 = strtomp(a, nil, 16, nil); b2 = strtomp(b, nil, 16, nil); b3 = mpnew(0); mpmul(b1, b2, b3); printf("%s * %s = %s\n", S(b1), S(b2), S(b3)); } void testexp(char *base, char *exp, char *mod) { mpint *b, *e, *m, *res; int i; uvlong now; b = strtomp(base, nil, 16, nil); e = strtomp(exp, nil, 16, nil); res = mpnew(0); if(mod != nil) m = strtomp(mod, nil, 16, nil); else m = nil; now = nsec(); for(i = 0; i < loops; i++) mpexp(b, e, m, res); if(loops > 1) printf("%ulldµs for a %d to the %d bit exp\n", (nsec()-now)/(loops*1000), b->top*Dbits, e->top*Dbits); if(m != nil) printf("%s %s ^ %s mod p %s\n", S(b), S(e), S(m), S(res)); else printf("%s %s ^ p %s\n", S(b), S(e), S(res)); mpfree(b); mpfree(e); mpfree(res); if(m != nil) mpfree(m); } void testgcd(void) { mpint *a, *b, *d, *x, *y, *t1, *t2; int i; uvlong now, then; uvlong etime; d = mpnew(0); x = mpnew(0); y = mpnew(0); t1 = mpnew(0); t2 = mpnew(0); etime = 0; a = strtomp("4EECAB3E04C4E6BC1F49D438731450396BF272B4D7B08F91C38E88ADCD281699889AFF872E2204C80CCAA8E460797103DE539D5DF8335A9B20C0B44886384F134C517287202FCA914D8A5096446B40CD861C641EF9C2730CB057D7B133F4C2B16BBD3D75FDDBD9151AAF0F9144AAA473AC93CF945DBFE0859FB685D5CBD0A8B3", nil, 16, nil); b = strtomp("C41CFBE4D4846F67A3DF7DE9921A49D3B42DC33728427AB159CEC8CBBDB12B5F0C244F1A734AEB9840804EA3C25036AD1B61AFF3ABBC247CD4B384224567A863A6F020E7EE9795554BCD08ABAD7321AF27E1E92E3DB1C6E7E94FAAE590AE9C48F96D93D178E809401ABE8A534A1EC44359733475A36A70C7B425125062B1142D", nil, 16, nil); mpextendedgcd(a, b, d, x, y); printf("gcd %s*%s+%s*%s = %s?\n", S(a), S(x), S(b), S(y), S(d)); mpfree(a); mpfree(b); for(i = 0; i < loops; i++){ a = mprand(2048, prng, nil); b = mprand(2048, prng, nil); then = nsec(); mpextendedgcd(a, b, d, x, y); now = nsec(); etime += now-then; mpmul(a, x, t1); mpmul(b, y, t2); mpadd(t1, t2, t2); if(mpcmp(d, t2) != 0) printf("%d gcd %s*%s+%s*%s != %B\n", i, S(a), S(x), S(b), S(y), S(d)); // else // printf("%d euclid %s*%s+%s*%s == %B\n", i, S(a), S(x), S(b), S(y), S(d)); mpfree(a); mpfree(b); } mpfree(x); mpfree(y); mpfree(d); mpfree(t1); mpfree(t2); if(loops > 1) printf("binary %llud\n", etime); } void main(int argc, char **argv) { mpint *x, *y; ARGBEGIN{ case 'n': loops = atoi(ARGF()); break; }ARGEND; myrand(0); mpsetminbits(2*Dbits); testshift("1111111111111111"); testaddsub("fffffffffffffffff"); testdigdiv("1234567812345678", 0x76543218); testdigdiv("1ffff", 0xffff); testdigdiv("ffff", 0xffff); testdigdiv("fff", 0xffff); testdigdiv("effffffff", 0xffff); testdigdiv("ffffffff", 0x1); testdigdiv("ffffffff", 0); testdigdiv("200000000", 2); testdigdiv("ffffff00fffffff1", 0xfffffff1); testvecdigmuladd("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 2); testconv("0"); testconv("-abc0123456789abcedf"); testconv("abc0123456789abcedf"); testvecdigmulsub("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 2); testsub1("1FFFFFFFE00000000", "FFFFFFFE00000001"); testmul1("ffffffff", "f"); testmul("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"); testmul1("100000000000000000000000000000000000000000000000000000002000000000000000000000000000000000000000000000000000000030000000000000000000000000000000000000000000000000000000400000000000000000000000000000000000000000000000000000004FFFFFFFFFFFFFFFE0000000200000000000000000000000000000003FFFFFFFFFFFFFFFE0000000200000000000000000000000000000002FFFFFFFFFFFFFFFE0000000200000000000000000000000000000001FFFFFFFFFFFFFFFE0000000200000000000000000000000000000000FFFFFFFFFFFFFFFE0000000200000000FFFFFFFE00000001", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"); testmul1("1000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001", "1000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001"); testmul1("1000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001", "1000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001000000000000000000000001"); testmul1("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"); x = mprand(256, prng, nil); y = mprand(128, prng, nil); testdiv(x, y); x = mprand(2048, prng, nil); y = mprand(1024, prng, nil); testdiv(x, y); // x = mprand(4*1024, prng, nil); // y = mprand(4*1024, prng, nil); // testmul2(x, y); testsub1("677132C9", "-A26559B6"); testgcd(); x = mprand(512, prng, nil); x->sign = -1; y = mprand(256, prng, nil); testdiv(x, y); testmod(x, y); x->sign = 1; testinvert(y, x); testexp("111111111", "222", "1000000000000000000000"); testexp("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"); printf("done\n"); exit(0); }