=================================================================== RCS file: /home/cvs/OpenXM_contrib/gmp/mpfr/Attic/add.c,v retrieving revision 1.1.1.1 retrieving revision 1.1.1.2 diff -u -p -r1.1.1.1 -r1.1.1.2 --- OpenXM_contrib/gmp/mpfr/Attic/add.c 2000/09/09 14:12:19 1.1.1.1 +++ OpenXM_contrib/gmp/mpfr/Attic/add.c 2003/08/25 16:06:06 1.1.1.2 @@ -1,404 +1,105 @@ /* mpfr_add -- add two floating-point numbers -Copyright (C) 1999 PolKA project, Inria Lorraine and Loria +Copyright 1999, 2000, 2001 Free Software Foundation. +Contributed by the Spaces project, INRIA Lorraine. This file is part of the MPFR Library. The MPFR Library is free software; you can redistribute it and/or modify -it under the terms of the GNU Library General Public License as published by -the Free Software Foundation; either version 2 of the License, or (at your +it under the terms of the GNU Lesser General Public License as published by +the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. The MPFR 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 Library General Public +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 Library General Public License +You should have received a copy of the GNU Lesser General Public License along with the MPFR Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ -#include #include "gmp.h" #include "gmp-impl.h" #include "mpfr.h" +#include "mpfr-impl.h" -extern void mpfr_sub1 _PROTO((mpfr_ptr, mpfr_srcptr, mpfr_srcptr, - unsigned char, int)); - -#define ONE ((mp_limb_t) 1) - -/* signs of b and c are supposed equal, - diff_exp is the difference between the exponents of b and c, - which is supposed >= 0 */ - -void -#if __STDC__ -mpfr_add1(mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, - unsigned char rnd_mode, int diff_exp) -#else -mpfr_add1(a, b, c, rnd_mode, diff_exp) - mpfr_ptr a; - mpfr_srcptr b; - mpfr_srcptr c; - unsigned char rnd_mode; - int diff_exp; -#endif +int +mpfr_add (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mp_rnd_t rnd_mode) { - mp_limb_t *ap, *bp, *cp, cc, c2, c3=0; unsigned int an,bn,cn; int sh,dif,k; - TMP_DECL(marker); - - TMP_MARK(marker); - ap = MANT(a); - bp = MANT(b); - cp = MANT(c); - if (ap == bp) { - bp = (mp_ptr) TMP_ALLOC(ABSSIZE(b) * BYTES_PER_MP_LIMB); - MPN_COPY (bp, ap, ABSSIZE(b)); - if (ap == cp) { cp = bp; } - } - else if (ap == cp) + if (MPFR_IS_NAN(b) || MPFR_IS_NAN(c)) { - cp = (mp_ptr) TMP_ALLOC (ABSSIZE(c) * BYTES_PER_MP_LIMB); - MPN_COPY(cp, ap, ABSSIZE(c)); + MPFR_SET_NAN(a); + MPFR_RET_NAN; } - an = (PREC(a)-1)/mp_bits_per_limb+1; /* number of significant limbs of a */ + MPFR_CLEAR_NAN(a); - sh = an*mp_bits_per_limb-PREC(a); /* non-significant bits in low limb */ - bn = (PREC(b)-1)/mp_bits_per_limb+1; /* number of significant limbs of b */ - EXP(a) = EXP(b); - - if (SIGN(a)!=SIGN(b)) CHANGE_SIGN(a); - - /* case 1: diff_exp>=prec(a), i.e. c only affects the last bit - through rounding */ - dif = PREC(a)-diff_exp; - - if (dif<=0) { - - /* diff_exp>=PREC(a): c does not overlap with a */ - /* either PREC(b)<=PREC(a), and we can copy the mantissa of b directly - into that of a, or PREC(b)>PREC(a) and we have to round b+c */ - - if (PREC(b)<=PREC(a)) { - - MPN_COPY(ap+(an-bn), bp, bn); - /* fill low significant limbs with zero */ - - for (bp=ap;bn PREC(a), no change */ - - if (diff_exp==PREC(a)) { - - /* if c is not zero, then as it is normalized, we have to add - one to the lsb of a if c>1/2, or c=1/2 and lsb(a)=1 (round to - even) */ - - if (NOTZERO(c)) { - - /* c is not zero */ - /* check whether mant(c)=1/2 or not */ - - cc = *cp - (ONE<<(mp_bits_per_limb-1)); - if (cc==0) { - bp = cp+(PREC(c)-1)/mp_bits_per_limb; - while (cpPREC(a) : we have to round b+c */ - k=bn-an; - - /* first copy the 'an' most significant limbs of b to a */ - MPN_COPY(ap, bp+k, an); - if (rnd_mode==GMP_RNDN) { - - /* to nearest */ - /* first check whether the truncated bits from b are 1/2*lsb(a) */ - - if (sh) { - cc = *ap & ((ONE<0) goto add_one_ulp; /* trunc(b)>1/2*lsb(a) -> round up */ - else if (cc==0) { - - while (k>1 && cc==0) cc=bp[--k]; - - /* now if the truncated part of b = 1/2*lsb(a), check whether c=0 */ - if (NOTZERO(c) || (*ap & (ONE< round down, i.e. do nothing */ + else + if (MPFR_IS_INF(c)) + { + MPFR_SET_INF(a); + MPFR_SET_SAME_SIGN(a, c); + MPFR_RET(0); /* exact */ } - else if ((ISNONNEG(b) && rnd_mode==GMP_RNDU) || - (ISNEG(b) && rnd_mode==GMP_RNDD)) { - /* first check whether trunc(b)+c is zero or not */ - if (sh) { - cc = *ap & ((ONE<1) cc=bp[--k]; - if (cc || NOTZERO(c)) goto add_one_ulp; - } + MPFR_ASSERTN(MPFR_IS_FP(b) && MPFR_IS_FP(c)); - /* in the other cases (round to zero, or up/down with sign -/+), - nothing to do, since b and c don't overlap, there can't be any - carry */ - + if (MPFR_IS_ZERO(b)) + { + if (MPFR_IS_ZERO(c)) + { + if (MPFR_SIGN(a) != + (rnd_mode != GMP_RNDD ? + ((MPFR_SIGN(b) < 0 && MPFR_SIGN(c) < 0) ? -1 : 1) : + ((MPFR_SIGN(b) > 0 && MPFR_SIGN(c) > 0) ? 1 : -1))) + { + MPFR_CHANGE_SIGN(a); + } + MPFR_CLEAR_INF(a); + MPFR_SET_ZERO(a); + MPFR_RET(0); /* 0 + 0 is exact */ + } + return mpfr_set(a, c, rnd_mode); } - } - else { - /* diff_exp < PREC(a) : c overlaps with a by dif bits */ - /* first copy upper part of c into a (after shift) */ - unsigned char overlap; - - k = (dif-1)/mp_bits_per_limb + 1; /* only the highest k limbs from c - have to be considered */ - cn = (PREC(c)-1)/mp_bits_per_limb + 1; - MPN_ZERO(ap+k, an-k); /* do it now otherwise ap[k] may be destroyed - in case dif<0 */ - if (dif<=PREC(c)) { - /* c has to be truncated */ - dif = dif % mp_bits_per_limb; - dif = (dif) ? mp_bits_per_limb-dif-sh : -sh; - - /* we have to shift by dif bits to the right */ - - if (dif>0) mpn_rshift(ap, cp+(cn-k), k, dif); - else if (dif<0) { - ap[k] = mpn_lshift(ap, cp+(cn-k), k, -dif); - - /* put the non-significant bits in low limb for further rounding */ - - if (cn >= k+1) - ap[0] += cp[cn-k-1]>>(mp_bits_per_limb+dif); - } - else MPN_COPY(ap, cp+(cn-k), k); - overlap=1; + if (MPFR_IS_ZERO(c)) + { + return mpfr_set(a, b, rnd_mode); } - else { - /* c is not truncated, but we have to fill low limbs with 0 */ + MPFR_CLEAR_INF(a); /* clear Inf flag */ - k = diff_exp/mp_bits_per_limb; - overlap = diff_exp%mp_bits_per_limb; - - /* warning: a shift of zero bit is not allowed */ - MPN_ZERO(ap, an-k-cn); - if (overlap) { - cc=mpn_rshift(ap+(an-k-cn), cp, cn, overlap); - if (an-k-cn>0) ap[an-k-cn-1]=cc; - } - else MPN_COPY(ap+(an-k-cn), cp, cn); - overlap=0; + if (MPFR_SIGN(b) != MPFR_SIGN(c)) + { /* signs differ, it's a subtraction */ + return mpfr_sub1(a, b, c, rnd_mode, 0); } - - /* here overlap=1 iff ulp(c) PREC(a): we have to truncate b */ - cc = mpn_add_n(ap, ap, bp+(bn-an), an); - - if (cc) { - - /* shift one bit to the right */ - - c3 = (ap[0]&1) && (PREC(a)%mp_bits_per_limb==0); - mpn_rshift(ap, ap, an, 1); - ap[an-1] += ONE<<(mp_bits_per_limb-1); - EXP(a)++; - } - - /* remains to do the rounding */ - - if (rnd_mode==GMP_RNDN) { - - /* to nearest */ - - int kc; - - /* four cases: overlap = - (0) PREC(b) > PREC(a) and diff_exp+PREC(c) <= PREC(a) - (1) PREC(b) > PREC(a) and diff_exp+PREC(c) > PREC(a) - (2) PREC(b) <= PREC(a) and diff_exp+PREC(c) <= PREC(a) - (3) PREC(b) <= PREC(a) and diff_exp+PREC(c) > PREC(a) */ - - switch (overlap) - { - case 1: /* both b and c to round */ - kc = cn-k; /* remains kc limbs from c */ - k = bn-an; /* remains k limbs from b */ - - /* truncate last bits and store the difference with 1/2*ulp in cc */ - - cc = *ap & ((ONE<>dif)); - if (cc==0 || cc==-1) cc=c2; - } - if ((long)cc>0) goto add_one_ulp; - else if ((long)cc<-1) - { TMP_FREE(marker); return; /* the carry can be at most 1 */ } - else if (kc==0) goto round_b; - - /* else round c: go through */ - - case 3: /* only c to round */ - bp=cp; k=cn-k; goto to_nearest; - - case 0: /* only b to round */ - round_b: - k=bn-an; dif=0; goto to_nearest; - - /* otherwise the result is exact: nothing to do */ - } - } - else if ((ISNONNEG(b) && rnd_mode==GMP_RNDU) || - (ISNEG(b) && rnd_mode==GMP_RNDD)) { - cc = *ap & ((ONE<>dif)); - } - if (cc) goto add_one_ulp; - else if (kc==0) goto round_b2; - /* else round c: go through */ - case 3: /* only c to round */ - while (kc) if (cp[--kc]) goto add_one_ulp; - /* if dif>0 : remains to check last dif bits from c */ - if (dif>0 && (cp[0]<<(mp_bits_per_limb-dif))) goto add_one_ulp; - break; - case 0: /* only b to round */ - round_b2: - k=bn-an; - while (k) if (bp[--k]) goto add_one_ulp; - /* otherwise the result is exact: nothing to do */ - } - } - } - /* else nothing to do: round towards zero, i.e. truncate last sh bits */ - else - *ap &= ~((ONE<c2) goto add_one_ulp; /* trunc(b)>1/2*lsb(a) -> round up */ - else if (cc==c2) { - cc=0; while (k && cc==0) cc=bp[--k]; - /* special case of rouding c shifted to the right */ - if (cc==0 && dif>0) cc=cp[0]<<(mp_bits_per_limb-dif); - /* now if the truncated part of b = 1/2*lsb(a), check whether c=0 */ - if (cc || (*ap & (ONE<0) mpfr_sub1(a, b, c, rnd_mode, diff_exp); - else { /* diff_exp=0 */ - diff_exp = mpfr_cmp3(b,c,-1); - /* if b>0 and diff_exp>0 or b<0 and diff_exp<0: abs(b) > abs(c) */ - if (diff_exp==0) SET_ZERO(a); - else if (diff_exp*SIGN(b)>0) mpfr_sub1(a, b, c, rnd_mode, 0); - else mpfr_sub1(a, c, b, rnd_mode, 0); - } - } - else /* signs are equal, it's an addition */ - if (diff_exp<0) mpfr_add1(a, c, b, rnd_mode, -diff_exp); - else mpfr_add1(a, b, c, rnd_mode, diff_exp); -} -