/*============================================================================= This file is part of FLINT. FLINT 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 2 of the License, or (at your option) any later version. FLINT 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 FLINT; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright 2009 Jason Moxham Copyright 2013 William Hart ******************************************************************************/ #include #include #include #include "flint.h" #include "longlong.h" #include "mpn_extras.h" #include "ulong_extras.h" int main(void) { ulong xn, yn, b, zn, c, dn; gmp_randstate_t rands; int k, cc; mp_limb_t xp[10000], dp[10000], qp[10000], yp[10000]; mp_limb_t rp[10000], zp[10000], tp[10000], tb; int result = 1; FLINT_TEST_INIT(state); gmp_randinit_default(rands); flint_printf("mulmod_2expp1_basecase...."); fflush(stdout); b = 1; tb = 1; tb <<= b; for ( ; b < 600; b++, tb*=2) { xn = BITS_TO_LIMBS(b); k = xn*GMP_NUMB_BITS - b; if (tb == 0 || tb > GMP_NUMB_MASK) tb=1; mpn_zero(dp, xn); mpn_com_n(dp, dp, xn); dp[xn-1] &= GMP_NUMB_MASK >> k; /* dp is 2^b-1 */ dn = xn; dp[xn] = mpn_add_1(dp, dp, xn, 2); if (dp[dn] != 0) dn++; /* dp is 2^b+1 */ for (c = 0; c < 20; c++) { mpn_random2(xp, xn); mpn_random2(yp, xn); xp[xn-1] &= GMP_NUMB_MASK >> k; yp[xn-1] &= GMP_NUMB_MASK >> k; mpn_mul_n(zp, xp, yp, xn); zn = xn*2; MPN_NORM(zp, zn); if (zn >= dn) mpn_tdiv_qr(qp, rp, 0, zp, zn, dp, dn); else mpn_copyi(rp, zp, dn); cc = tp[xn] = flint_mpn_mulmod_2expp1_basecase(tp, xp, yp, 0, b, qp); if (cc != 0 && dn == xn) tp[xn-1] |= tb; result = (mpn_cmp(tp, rp, dn) == 0); if (!result) { flint_printf("FAIL:\n"); flint_printf("b = %wd\n", b); abort(); } } } b = 1; tb = 1; tb <<= b; for ( ; b < 600; b++, tb*=2) { xn = BITS_TO_LIMBS(b); k = xn*GMP_NUMB_BITS - b; if (tb == 0 || tb > GMP_NUMB_MASK) tb = 1; mpn_zero(dp, xn); mpn_com_n(dp, dp, xn); dp[xn-1] &= GMP_NUMB_MASK >> k; /* dp is 2^b-1 */ dn = xn; dp[xn] = mpn_add_1(dp, dp, xn, 2); if (dp[dn] != 0) dn++; /* dp is 2^b+1 */ for (c = 0; c < 20; c++) { mpn_random2(xp, xn); mpn_zero(yp, xn); /* set yp to 2^b */ xp[xn-1] &= GMP_NUMB_MASK >> k; yp[xn-1] &= GMP_NUMB_MASK >> k; yn = xn; if (tb == 1) yn++; yp[yn-1] = tb; mpn_mul(zp, yp, yn, xp, xn); zn = xn*2; MPN_NORM(zp, zn); mpn_zero(yp, xn); /* set yp to 2^b */ if (zn >= dn) mpn_tdiv_qr(qp, rp, 0, zp, zn, dp, dn); else mpn_copyi(rp, zp, dn); cc = tp[xn] = flint_mpn_mulmod_2expp1_basecase(tp, xp, yp, 1, b, qp); if (cc != 0 && dn == xn) tp[xn-1] |= tb; result = (mpn_cmp(tp, rp, dn) == 0); if (!result) { flint_printf("FAIL:\n"); flint_printf("b = %wd\n", b); abort(); } } } b = 1; tb = 1; tb <<= b; for ( ; b < 600; b++, tb*=2) { xn = BITS_TO_LIMBS(b); k = xn*GMP_NUMB_BITS - b; if (tb == 0 || tb > GMP_NUMB_MASK) tb = 1; mpn_zero(dp, xn); mpn_com_n(dp, dp, xn); dp[xn-1] &= GMP_NUMB_MASK >> k; /* dp is 2^b-1 */ dn = xn; dp[xn] = mpn_add_1(dp, dp, xn, 2); if (dp[dn] != 0) dn++; /* dp is 2^b+1 */ for (c = 0; c < 20; c++) { mpn_random2(xp, xn); mpn_zero(yp, xn); /* set yp to 2^b */ xp[xn-1] &= GMP_NUMB_MASK >> k; yp[xn-1] &= GMP_NUMB_MASK >> k; yn = xn; if (tb == 1) yn++; yp[yn-1] = tb; mpn_mul(zp, yp, yn, xp, xn); zn = xn*2; MPN_NORM(zp, zn); mpn_zero(yp, xn); /* set yp to 2^b */ if (zn >= dn) mpn_tdiv_qr(qp, rp, 0, zp, zn, dp, dn); else mpn_copyi(rp, zp, dn); cc = tp[xn] = flint_mpn_mulmod_2expp1_basecase(tp, yp, xp, 2, b, qp); if (cc != 0 && dn == xn) tp[xn-1] |= tb; result = (mpn_cmp(tp, rp, dn) == 0); if (!result) { flint_printf("FAIL\n"); flint_printf("b = %wd\n", b); abort(); } } } rp[0] = 1; mpn_zero(rp + 1, 1000); b = 1; tb = 1; tb <<= b; for ( ; b < 600; b++, tb*=2) { xn = BITS_TO_LIMBS(b); k = xn*GMP_NUMB_BITS - b; if (tb == 0 || tb > GMP_NUMB_MASK) tb = 1; mpn_zero(dp, xn); mpn_com_n(dp, dp, xn); dp[xn-1] &= GMP_NUMB_MASK >> k; /* dp is 2^b-1 */ dn = xn; dp[xn] = mpn_add_1(dp, dp, xn, 2); if (dp[dn] != 0) dn++; /* dp is 2^b+1 */ for (c = 0; c < 1; c++) { mpn_zero(xp, xn); mpn_zero(yp, xn); /* set xp, yp to 2^b */ xp[xn-1] &= GMP_NUMB_MASK >> k; yp[xn-1] &= GMP_NUMB_MASK >> k; cc = tp[xn] = flint_mpn_mulmod_2expp1_basecase(tp, yp, xp, 3, b, qp); if (cc != 0 && dn == xn) tp[xn-1] |= tb; result = (mpn_cmp(tp, rp, dn) == 0); if (!result) { flint_printf("FAIL\n"); flint_printf("b = %wd\n", b); abort(); } } } gmp_randclear(rands); FLINT_TEST_CLEANUP(state); flint_printf("PASS\n"); return 0; }