/* Copyright 2006, 2007, 2009, 2010, 2013-2015, 2018 Free Software Foundation, Inc. This file is part of the GNU MP Library test suite. The GNU MP Library test suite is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. The GNU MP Library test suite is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */ #include /* for strtol */ #include /* for printf */ #include "gmp-impl.h" #include "longlong.h" #include "tests/tests.h" static void dumpy (mp_srcptr p, mp_size_t n) { mp_size_t i; if (n > 20) { for (i = n - 1; i >= n - 4; i--) { printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]); printf (" "); } printf ("... "); for (i = 3; i >= 0; i--) { printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]); printf (i == 0 ? "" : " "); } } else { for (i = n - 1; i >= 0; i--) { printf ("%0*lx", (int) (2 * sizeof (mp_limb_t)), p[i]); printf (i == 0 ? "" : " "); } } puts (""); } static signed long test; static void check_one (mp_ptr qp, mp_srcptr rp, mp_srcptr np, mp_size_t nn, mp_srcptr dp, mp_size_t dn, const char *fname, mp_limb_t q_allowed_err) { mp_size_t qn = nn - dn + 1; mp_ptr tp; const char *msg; const char *tvalue; mp_limb_t i; TMP_DECL; TMP_MARK; tp = TMP_ALLOC_LIMBS (nn + 1); if (dn >= qn) refmpn_mul (tp, dp, dn, qp, qn); else refmpn_mul (tp, qp, qn, dp, dn); for (i = 0; i < q_allowed_err && (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0); i++) ASSERT_NOCARRY (refmpn_sub (tp, tp, nn+1, dp, dn)); if (tp[nn] > 0 || mpn_cmp (tp, np, nn) > 0) { msg = "q too large"; tvalue = "Q*D"; error: printf ("\r*******************************************************************************\n"); printf ("%s failed test %ld: %s\n", fname, test, msg); printf ("N= "); dumpy (np, nn); printf ("D= "); dumpy (dp, dn); printf ("Q= "); dumpy (qp, qn); if (rp) { printf ("R= "); dumpy (rp, dn); } printf ("%5s=", tvalue); dumpy (tp, nn+1); printf ("nn = %ld, dn = %ld, qn = %ld\n", nn, dn, qn); abort (); } ASSERT_NOCARRY (refmpn_sub_n (tp, np, tp, nn)); tvalue = "N-Q*D"; if (!(nn == dn || mpn_zero_p (tp + dn, nn - dn)) || mpn_cmp (tp, dp, dn) >= 0) { msg = "q too small"; goto error; } if (rp && mpn_cmp (rp, tp, dn) != 0) { msg = "r incorrect"; goto error; } TMP_FREE; } /* These are *bit* sizes. */ #ifndef SIZE_LOG #define SIZE_LOG 17 #endif #define MAX_DN (1L << SIZE_LOG) #define MAX_NN (1L << (SIZE_LOG + 1)) #define COUNT 200 int main (int argc, char **argv) { gmp_randstate_ptr rands; unsigned long maxnbits, maxdbits, nbits, dbits; mpz_t n, d, q, r, tz, junk; mp_size_t maxnn, maxdn, nn, dn, clearn, i; mp_ptr np, dup, dnp, qp, rp, junkp; mp_limb_t t; gmp_pi1_t dinv; long count = COUNT; mp_ptr scratch; mp_limb_t ran; mp_size_t alloc, itch; mp_limb_t rran0, rran1, qran0, qran1; TMP_DECL; TESTS_REPS (count, argv, argc); maxdbits = MAX_DN; maxnbits = MAX_NN; tests_start (); rands = RANDS; mpz_init (n); mpz_init (d); mpz_init (q); mpz_init (r); mpz_init (tz); mpz_init (junk); maxnn = maxnbits / GMP_NUMB_BITS + 1; maxdn = maxdbits / GMP_NUMB_BITS + 1; TMP_MARK; qp = TMP_ALLOC_LIMBS (maxnn + 2) + 1; rp = TMP_ALLOC_LIMBS (maxnn + 2) + 1; dnp = TMP_ALLOC_LIMBS (maxdn); alloc = 1; scratch = __GMP_ALLOCATE_FUNC_LIMBS (alloc); for (test = -300; test < count; test++) { nbits = urandom () % (maxnbits - GMP_NUMB_BITS) + 2 * GMP_NUMB_BITS; if (test < 0) dbits = (test + 300) % (nbits - 1) + 1; else dbits = urandom () % (nbits - 1) % maxdbits + 1; #if RAND_UNIFORM #define RANDFUNC mpz_urandomb #else #define RANDFUNC mpz_rrandomb #endif do RANDFUNC (d, rands, dbits); while (mpz_sgn (d) == 0); dn = SIZ (d); dup = PTR (d); MPN_COPY (dnp, dup, dn); dnp[dn - 1] |= GMP_NUMB_HIGHBIT; if (test % 2 == 0) { RANDFUNC (n, rands, nbits); nn = SIZ (n); ASSERT_ALWAYS (nn >= dn); } else { do { RANDFUNC (q, rands, urandom () % (nbits - dbits + 1)); RANDFUNC (r, rands, urandom () % mpz_sizeinbase (d, 2)); mpz_mul (n, q, d); mpz_add (n, n, r); nn = SIZ (n); } while (nn > maxnn || nn < dn); } ASSERT_ALWAYS (nn <= maxnn); ASSERT_ALWAYS (dn <= maxdn); mpz_urandomb (junk, rands, nbits); junkp = PTR (junk); np = PTR (n); mpz_urandomb (tz, rands, 32); t = mpz_get_ui (tz); if (t % 17 == 0) { dnp[dn - 1] = GMP_NUMB_MAX; dup[dn - 1] = GMP_NUMB_MAX; } switch ((int) t % 16) { case 0: clearn = urandom () % nn; for (i = clearn; i < nn; i++) np[i] = 0; break; case 1: mpn_sub_1 (np + nn - dn, dnp, dn, urandom ()); break; case 2: mpn_add_1 (np + nn - dn, dnp, dn, urandom ()); break; } if (dn >= 2) invert_pi1 (dinv, dnp[dn - 1], dnp[dn - 2]); rran0 = urandom (); rran1 = urandom (); qran0 = urandom (); qran1 = urandom (); qp[-1] = qran0; qp[nn - dn + 1] = qran1; rp[-1] = rran0; ran = urandom (); if ((double) (nn - dn) * dn < 1e5) { /* Test mpn_sbpi1_div_qr */ if (dn > 2) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_sbpi1_div_qr (qp, rp, nn, dnp, dn, dinv.inv32); check_one (qp, rp, np, nn, dnp, dn, "mpn_sbpi1_div_qr", 0); } /* Test mpn_sbpi1_divappr_q */ if (dn > 2) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_sbpi1_divappr_q (qp, rp, nn, dnp, dn, dinv.inv32); check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_divappr_q", 1); } /* Test mpn_sbpi1_div_q */ if (dn > 2) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_sbpi1_div_q (qp, rp, nn, dnp, dn, dinv.inv32); check_one (qp, NULL, np, nn, dnp, dn, "mpn_sbpi1_div_q", 0); } /* Test mpn_sec_div_qr */ itch = mpn_sec_div_qr_itch (nn, dn); if (itch + 1 > alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (rp, np, nn); if (nn >= dn) MPN_COPY (qp, junkp, nn - dn + 1); qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dup, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_qr (unnorm)", 0); /* Test mpn_sec_div_r */ itch = mpn_sec_div_r_itch (nn, dn); if (itch + 1 > alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (rp, np, nn); mpn_sec_div_r (rp, nn, dup, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); /* Note: Since check_one cannot cope with remainder-only functions, we pass qp[] from the previous function, mpn_sec_div_qr. */ check_one (qp, rp, np, nn, dup, dn, "mpn_sec_div_r (unnorm)", 0); /* Normalised case, mpn_sec_div_qr */ itch = mpn_sec_div_qr_itch (nn, dn); scratch[itch] = ran; MPN_COPY (rp, np, nn); if (nn >= dn) MPN_COPY (qp, junkp, nn - dn + 1); qp[nn - dn] = mpn_sec_div_qr (qp, rp, nn, dnp, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_qr (norm)", 0); /* Normalised case, mpn_sec_div_r */ itch = mpn_sec_div_r_itch (nn, dn); scratch[itch] = ran; MPN_COPY (rp, np, nn); mpn_sec_div_r (rp, nn, dnp, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); /* Note: Since check_one cannot cope with remainder-only functions, we pass qp[] from the previous function, mpn_sec_div_qr. */ check_one (qp, rp, np, nn, dnp, dn, "mpn_sec_div_r (norm)", 0); } /* Test mpn_dcpi1_div_qr */ if (dn >= 6 && nn - dn >= 3) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_dcpi1_div_qr (qp, rp, nn, dnp, dn, &dinv); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); ASSERT_ALWAYS (rp[-1] == rran0); check_one (qp, rp, np, nn, dnp, dn, "mpn_dcpi1_div_qr", 0); } /* Test mpn_dcpi1_divappr_q */ if (dn >= 6 && nn - dn >= 3) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_dcpi1_divappr_q (qp, rp, nn, dnp, dn, &dinv); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); ASSERT_ALWAYS (rp[-1] == rran0); check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_divappr_q", 1); } /* Test mpn_dcpi1_div_q */ if (dn >= 6 && nn - dn >= 3) { MPN_COPY (rp, np, nn); if (nn > dn) MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_dcpi1_div_q (qp, rp, nn, dnp, dn, &dinv); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); ASSERT_ALWAYS (rp[-1] == rran0); check_one (qp, NULL, np, nn, dnp, dn, "mpn_dcpi1_div_q", 0); } /* Test mpn_mu_div_qr */ if (nn - dn > 2 && dn >= 2) { itch = mpn_mu_div_qr_itch (nn, dn, 0); if (itch + 1 > alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (qp, junkp, nn - dn); MPN_ZERO (rp, dn); rp[dn] = rran1; qp[nn - dn] = mpn_mu_div_qr (qp, rp, np, nn, dnp, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); ASSERT_ALWAYS (rp[-1] == rran0); ASSERT_ALWAYS (rp[dn] == rran1); check_one (qp, rp, np, nn, dnp, dn, "mpn_mu_div_qr", 0); } /* Test mpn_mu_divappr_q */ if (nn - dn > 2 && dn >= 2) { itch = mpn_mu_divappr_q_itch (nn, dn, 0); if (itch + 1 > alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_mu_divappr_q (qp, np, nn, dnp, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_divappr_q", 4); } /* Test mpn_mu_div_q */ if (nn - dn > 2 && dn >= 2) { itch = mpn_mu_div_q_itch (nn, dn, 0); if (itch + 1> alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (qp, junkp, nn - dn); qp[nn - dn] = mpn_mu_div_q (qp, np, nn, dnp, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); check_one (qp, NULL, np, nn, dnp, dn, "mpn_mu_div_q", 0); } if (1) { itch = nn + 1; if (itch + 1> alloc) { scratch = __GMP_REALLOCATE_FUNC_LIMBS (scratch, alloc, itch + 1); alloc = itch + 1; } scratch[itch] = ran; MPN_COPY (qp, junkp, nn - dn + 1); mpn_div_q (qp, np, nn, dup, dn, scratch); ASSERT_ALWAYS (ran == scratch[itch]); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - dn + 1] == qran1); check_one (qp, NULL, np, nn, dup, dn, "mpn_div_q", 0); } if (dn >= 2 && nn >= 2) { mp_limb_t qh; /* mpn_divrem_2 */ MPN_COPY (rp, np, nn); qp[nn - 2] = qp[nn-1] = qran1; qh = mpn_divrem_2 (qp, 0, rp, nn, dnp + dn - 2); ASSERT_ALWAYS (qp[nn - 2] == qran1); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1); qp[nn - 2] = qh; check_one (qp, rp, np, nn, dnp + dn - 2, 2, "mpn_divrem_2", 0); /* Missing: divrem_2 with fraction limbs. */ /* mpn_div_qr_2 */ qp[nn - 2] = qran1; qh = mpn_div_qr_2 (qp, rp, np, nn, dup + dn - 2); ASSERT_ALWAYS (qp[nn - 2] == qran1); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1); qp[nn - 2] = qh; check_one (qp, rp, np, nn, dup + dn - 2, 2, "mpn_div_qr_2", 0); } if (dn >= 1 && nn >= 1) { /* mpn_div_qr_1 */ mp_limb_t qh; qp[nn-1] = qran1; rp[0] = mpn_div_qr_1 (qp, &qh, np, nn, dnp[dn - 1]); ASSERT_ALWAYS (qp[-1] == qran0); ASSERT_ALWAYS (qp[nn - 1] == qran1); qp[nn - 1] = qh; check_one (qp, rp, np, nn, dnp + dn - 1, 1, "mpn_div_qr_1", 0); } } __GMP_FREE_FUNC_LIMBS (scratch, alloc); TMP_FREE; mpz_clear (n); mpz_clear (d); mpz_clear (q); mpz_clear (r); mpz_clear (tz); mpz_clear (junk); tests_end (); return 0; }