X-Git-Url: https://oss.titaniummirror.com/gitweb?a=blobdiff_plain;f=gmp%2Fmpn%2Fgeneric%2Fdivrem_2.c;fp=gmp%2Fmpn%2Fgeneric%2Fdivrem_2.c;h=ba761dc36c0e7edc607c96302da4a9a1214e2209;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/gmp/mpn/generic/divrem_2.c b/gmp/mpn/generic/divrem_2.c new file mode 100644 index 00000000..ba761dc3 --- /dev/null +++ b/gmp/mpn/generic/divrem_2.c @@ -0,0 +1,179 @@ +/* mpn_divrem_2 -- Divide natural numbers, producing both remainder and + quotient. The divisor is two limbs. + + THIS FILE CONTAINS INTERNAL FUNCTIONS WITH MUTABLE INTERFACES. IT IS + ONLY SAFE TO REACH THEM THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS + ALMOST GUARANTEED THAT THEY'LL CHANGE OR DISAPPEAR IN A FUTURE GNU MP + RELEASE. + + +Copyright 1993, 1994, 1995, 1996, 1999, 2000, 2001, 2002 Free Software +Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Lesser 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 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 Lesser General Public +License for more details. + +You should have received a copy of the GNU Lesser General Public License +along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + + +/* The size where udiv_qrnnd_preinv should be used rather than udiv_qrnnd, + meaning the quotient size where that should happen, the quotient size + being how many udiv divisions will be done. + + The default is to use preinv always, CPUs where this doesn't suit have + tuned thresholds. Note in particular that preinv should certainly be + used if that's the only division available (USE_PREINV_ALWAYS). */ + +#ifndef DIVREM_2_THRESHOLD +#define DIVREM_2_THRESHOLD 0 +#endif + + +/* Divide num (NP/NSIZE) by den (DP/2) and write + the NSIZE-2 least significant quotient limbs at QP + and the 2 long remainder at NP. If QEXTRA_LIMBS is + non-zero, generate that many fraction bits and append them after the + other quotient limbs. + Return the most significant limb of the quotient, this is always 0 or 1. + + Preconditions: + 0. NSIZE >= 2. + 1. The most significant bit of the divisor must be set. + 2. QP must either not overlap with the input operands at all, or + QP + 2 >= NP must hold true. (This means that it's + possible to put the quotient in the high part of NUM, right after the + remainder in NUM. + 3. NSIZE >= 2, even if QEXTRA_LIMBS is non-zero. */ + +mp_limb_t +mpn_divrem_2 (mp_ptr qp, mp_size_t qxn, + mp_ptr np, mp_size_t nn, + mp_srcptr dp) +{ + mp_limb_t most_significant_q_limb = 0; + mp_size_t i; + mp_limb_t n1, n0, n2; + mp_limb_t d1, d0; + mp_limb_t d1inv; + int use_preinv; + + ASSERT (nn >= 2); + ASSERT (qxn >= 0); + ASSERT (dp[1] & GMP_NUMB_HIGHBIT); + ASSERT (! MPN_OVERLAP_P (qp, nn-2+qxn, np, nn) || qp+2 >= np); + ASSERT_MPN (np, nn); + ASSERT_MPN (dp, 2); + + np += nn - 2; + d1 = dp[1]; + d0 = dp[0]; + n1 = np[1]; + n0 = np[0]; + + if (n1 >= d1 && (n1 > d1 || n0 >= d0)) + { +#if GMP_NAIL_BITS == 0 + sub_ddmmss (n1, n0, n1, n0, d1, d0); +#else + n0 = n0 - d0; + n1 = n1 - d1 - (n0 >> GMP_LIMB_BITS - 1); + n0 &= GMP_NUMB_MASK; +#endif + most_significant_q_limb = 1; + } + + use_preinv = ABOVE_THRESHOLD (qxn + nn - 2, DIVREM_2_THRESHOLD); + if (use_preinv) + invert_limb (d1inv, d1); + + for (i = qxn + nn - 2 - 1; i >= 0; i--) + { + mp_limb_t q; + mp_limb_t r; + + if (i >= qxn) + np--; + else + np[0] = 0; + + if (n1 == d1) + { + /* Q should be either 111..111 or 111..110. Need special handling + of this rare case as normal division would give overflow. */ + q = GMP_NUMB_MASK; + + r = (n0 + d1) & GMP_NUMB_MASK; + if (r < d1) /* Carry in the addition? */ + { +#if GMP_NAIL_BITS == 0 + add_ssaaaa (n1, n0, r - d0, np[0], 0, d0); +#else + n0 = np[0] + d0; + n1 = (r - d0 + (n0 >> GMP_NUMB_BITS)) & GMP_NUMB_MASK; + n0 &= GMP_NUMB_MASK; +#endif + qp[i] = q; + continue; + } + n1 = d0 - (d0 != 0); + n0 = -d0 & GMP_NUMB_MASK; + } + else + { + if (use_preinv) + udiv_qrnnd_preinv (q, r, n1, n0, d1, d1inv); + else + udiv_qrnnd (q, r, n1, n0 << GMP_NAIL_BITS, d1 << GMP_NAIL_BITS); + r >>= GMP_NAIL_BITS; + umul_ppmm (n1, n0, d0, q << GMP_NAIL_BITS); + n0 >>= GMP_NAIL_BITS; + } + + n2 = np[0]; + + q_test: + if (n1 > r || (n1 == r && n0 > n2)) + { + /* The estimated Q was too large. */ + q--; + +#if GMP_NAIL_BITS == 0 + sub_ddmmss (n1, n0, n1, n0, 0, d0); +#else + n0 = n0 - d0; + n1 = n1 - (n0 >> GMP_LIMB_BITS - 1); + n0 &= GMP_NUMB_MASK; +#endif + r += d1; + if (r >= d1) /* If not carry, test Q again. */ + goto q_test; + } + + qp[i] = q; +#if GMP_NAIL_BITS == 0 + sub_ddmmss (n1, n0, r, n2, n1, n0); +#else + n0 = n2 - n0; + n1 = r - n1 - (n0 >> GMP_LIMB_BITS - 1); + n0 &= GMP_NUMB_MASK; +#endif + } + np[1] = n1; + np[0] = n0; + + return most_significant_q_limb; +}