1 /* mpq_mul_2exp, mpq_div_2exp - multiply or divide by 2^N */ 2 3 /* 4 Copyright 2000, 2002, 2012 Free Software Foundation, Inc. 5 6 This file is part of the GNU MP Library. 7 8 The GNU MP Library is free software; you can redistribute it and/or modify 9 it under the terms of the GNU Lesser General Public License as published by 10 the Free Software Foundation; either version 3 of the License, or (at your 11 option) any later version. 12 13 The GNU MP Library is distributed in the hope that it will be useful, but 14 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 15 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 16 License for more details. 17 18 You should have received a copy of the GNU Lesser General Public License 19 along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */ 20 21 #include "gmp.h" 22 #include "gmp-impl.h" 23 #include "longlong.h" 24 25 26 /* The multiplier/divisor "n", representing 2^n, is applied by right shifting 27 "r" until it's odd (if it isn't already), and left shifting "l" for the 28 rest. */ 29 30 static void 31 mord_2exp (mpz_ptr ldst, mpz_ptr rdst, mpz_srcptr lsrc, mpz_srcptr rsrc, 32 mp_bitcnt_t n) 33 { 34 mp_size_t rsrc_size = SIZ(rsrc); 35 mp_size_t len = ABS (rsrc_size); 36 mp_ptr rsrc_ptr = PTR(rsrc); 37 mp_ptr p, rdst_ptr; 38 mp_limb_t plow; 39 40 p = rsrc_ptr; 41 plow = *p; 42 while (n >= GMP_NUMB_BITS && plow == 0) 43 { 44 n -= GMP_NUMB_BITS; 45 p++; 46 plow = *p; 47 } 48 49 /* no realloc here if rsrc==rdst, so p and rsrc_ptr remain valid */ 50 len -= (p - rsrc_ptr); 51 rdst_ptr = MPZ_REALLOC (rdst, len); 52 53 if ((plow & 1) || n == 0) 54 { 55 /* need INCR when src==dst */ 56 if (p != rdst_ptr) 57 MPN_COPY_INCR (rdst_ptr, p, len); 58 } 59 else 60 { 61 unsigned long shift; 62 if (plow == 0) 63 shift = n; 64 else 65 { 66 count_trailing_zeros (shift, plow); 67 shift = MIN (shift, n); 68 } 69 mpn_rshift (rdst_ptr, p, len, shift); 70 len -= (rdst_ptr[len-1] == 0); 71 n -= shift; 72 } 73 SIZ(rdst) = (rsrc_size >= 0) ? len : -len; 74 75 if (n) 76 mpz_mul_2exp (ldst, lsrc, n); 77 else if (ldst != lsrc) 78 mpz_set (ldst, lsrc); 79 } 80 81 82 void 83 mpq_mul_2exp (mpq_ptr dst, mpq_srcptr src, mp_bitcnt_t n) 84 { 85 mord_2exp (NUM(dst), DEN(dst), NUM(src), DEN(src), n); 86 } 87 88 void 89 mpq_div_2exp (mpq_ptr dst, mpq_srcptr src, mp_bitcnt_t n) 90 { 91 if (SIZ(NUM(src)) == 0) 92 { 93 SIZ(NUM(dst)) = 0; 94 SIZ(DEN(dst)) = 1; 95 PTR(DEN(dst))[0] = 1; 96 return; 97 } 98 99 mord_2exp (DEN(dst), NUM(dst), DEN(src), NUM(src), n); 100 } 101