X-Git-Url: https://oss.titaniummirror.com/gitweb?a=blobdiff_plain;f=gmp%2Fmpq%2Fget_d.c;fp=gmp%2Fmpq%2Fget_d.c;h=c8f91ca4d8b97cd38d8f8e7489c672083f5d90f6;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/gmp/mpq/get_d.c b/gmp/mpq/get_d.c new file mode 100644 index 00000000..c8f91ca4 --- /dev/null +++ b/gmp/mpq/get_d.c @@ -0,0 +1,165 @@ +/* double mpq_get_d (mpq_t src) -- mpq to double, rounding towards zero. + +Copyright 1995, 1996, 2001, 2002, 2003, 2004, 2005 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 /* for NULL */ +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + + +/* All that's needed is to get the high 53 bits of the quotient num/den, + rounded towards zero. More than 53 bits is fine, any excess is ignored + by mpn_get_d. + + N_QLIMBS is how many quotient limbs we need to satisfy the mantissa of a + double, assuming the highest of those limbs is non-zero. The target + qsize for mpn_tdiv_qr is then 1 more than this, since that function may + give a zero in the high limb (and non-zero in the second highest). + + The use of 8*sizeof(double) in N_QLIMBS is an overestimate of the + mantissa bits, but it gets the same result as the true value (53 or 48 or + whatever) when rounded up to a multiple of GMP_NUMB_BITS, for non-nails. + + Enhancements: + + Use the true mantissa size in the N_QLIMBS formala, to save a divide step + in nails. + + Examine the high limbs of num and den to see if the highest 1 bit of the + quotient will fall high enough that just N_QLIMBS-1 limbs is enough to + get the necessary bits, thereby saving a division step. + + Bit shift either num or den to arrange for the above condition on the + high 1 bit of the quotient, to save a division step always. A shift to + save a division step is definitely worthwhile with mpn_tdiv_qr, though we + may want to reassess this on big num/den when a quotient-only division + exists. + + Maybe we could estimate the final exponent using nsize-dsize (and + possibly the high limbs of num and den), so as to detect overflow and + return infinity or zero quickly. Overflow is never very helpful to an + application, and can therefore probably be regarded as abnormal, but we + may still like to optimize it if the conditions are easy. (This would + only be for float formats we know, unknown formats are not important and + can be left to mpn_get_d.) + + Future: + + If/when mpn_tdiv_qr supports its qxn parameter we can use that instead of + padding n with zeros in temporary space. + + If/when a quotient-only division exists it can be used here immediately. + remp is only to satisfy mpn_tdiv_qr, the remainder is not used. + + Alternatives: + + An alternative algorithm, that may be faster: + 0. Let n be somewhat larger than the number of significant bits in a double. + 1. Extract the most significant n bits of the denominator, and an equal + number of bits from the numerator. + 2. Interpret the extracted numbers as integers, call them a and b + respectively, and develop n bits of the fractions ((a + 1) / b) and + (a / (b + 1)) using mpn_divrem. + 3. If the computed values are identical UP TO THE POSITION WE CARE ABOUT, + we are done. If they are different, repeat the algorithm from step 1, + but first let n = n * 2. + 4. If we end up using all bits from the numerator and denominator, fall + back to a plain division. + 5. Just to make life harder, The computation of a + 1 and b + 1 above + might give carry-out... Needs special handling. It might work to + subtract 1 in both cases instead. + + Not certain if this approach would be faster than a quotient-only + division. Presumably such optimizations are the sort of thing we would + like to have helping everywhere that uses a quotient-only division. */ + +double +mpq_get_d (const MP_RAT *src) +{ + double res; + mp_srcptr np, dp; + mp_ptr remp, tp; + mp_size_t nsize = src->_mp_num._mp_size; + mp_size_t dsize = src->_mp_den._mp_size; + mp_size_t qsize, prospective_qsize, zeros, chop, tsize; + mp_size_t sign_quotient = nsize; + long exp; +#define N_QLIMBS (1 + (sizeof (double) + BYTES_PER_MP_LIMB-1) / BYTES_PER_MP_LIMB) + mp_limb_t qarr[N_QLIMBS + 1]; + mp_ptr qp = qarr; + TMP_DECL; + + ASSERT (dsize > 0); /* canonical src */ + + /* mpn_get_d below requires a non-zero operand */ + if (UNLIKELY (nsize == 0)) + return 0.0; + + TMP_MARK; + nsize = ABS (nsize); + dsize = ABS (dsize); + np = src->_mp_num._mp_d; + dp = src->_mp_den._mp_d; + + prospective_qsize = nsize - dsize + 1; /* from using given n,d */ + qsize = N_QLIMBS + 1; /* desired qsize */ + + zeros = qsize - prospective_qsize; /* padding n to get qsize */ + exp = (long) -zeros * GMP_NUMB_BITS; /* relative to low of qp */ + + chop = MAX (-zeros, 0); /* negative zeros means shorten n */ + np += chop; + nsize -= chop; + zeros += chop; /* now zeros >= 0 */ + + tsize = nsize + zeros; /* size for possible copy of n */ + + if (WANT_TMP_DEBUG) + { + /* separate blocks, for malloc debugging */ + remp = TMP_ALLOC_LIMBS (dsize); + tp = (zeros > 0 ? TMP_ALLOC_LIMBS (tsize) : NULL); + } + else + { + /* one block with conditionalized size, for efficiency */ + remp = TMP_ALLOC_LIMBS (dsize + (zeros > 0 ? tsize : 0)); + tp = remp + dsize; + } + + /* zero extend n into temporary space, if necessary */ + if (zeros > 0) + { + MPN_ZERO (tp, zeros); + MPN_COPY (tp+zeros, np, nsize); + np = tp; + nsize = tsize; + } + + ASSERT (qsize == nsize - dsize + 1); + mpn_tdiv_qr (qp, remp, (mp_size_t) 0, np, nsize, dp, dsize); + + /* strip possible zero high limb */ + qsize -= (qp[qsize-1] == 0); + + res = mpn_get_d (qp, qsize, sign_quotient, exp); + TMP_FREE; + return res; +}