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authorKevin Ryde <user42@zip.com.au>2001-11-30 01:39:14 +0100
committerKevin Ryde <user42@zip.com.au>2001-11-30 01:39:14 +0100
commita30a00c444bb3d2b90c14b488c66fafa7df3c631 (patch)
tree8a7ce3e110086e9371072f0c8a7e5151f60f290b /mpfr/cmp2.c
parent1778ba984df3d10a3a95e58ce8990fa0b431c3a3 (diff)
downloadgmp-a30a00c444bb3d2b90c14b488c66fafa7df3c631.tar.gz
* mpfr: Update to 2001-11-16. Patch TMP handling of agm.c and sqrt.c,
separate .c files for floor and ceil.
Diffstat (limited to 'mpfr/cmp2.c')
-rw-r--r--mpfr/cmp2.c183
1 files changed, 183 insertions, 0 deletions
diff --git a/mpfr/cmp2.c b/mpfr/cmp2.c
new file mode 100644
index 000000000..725cf5867
--- /dev/null
+++ b/mpfr/cmp2.c
@@ -0,0 +1,183 @@
+/* mpfr_cmp2 -- exponent shift when subtracting two numbers.
+
+Copyright (C) 1999-2001 Free Software Foundation.
+
+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 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 Lesser General Public
+License for more details.
+
+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 "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+#include "mpfr.h"
+#include "mpfr-impl.h"
+
+/* returns the number of cancelled bits when one subtracts abs(c) from abs(b).
+ Assumes |b| >= |c|, which implies MPFR_EXP(b)>=MPFR_EXP(c).
+ if |b| = |c|, returns prec(b).
+
+ Assumes neither of b or c is NaN or +/- infinity.
+
+ In other terms mpfr_cmp2 (b, c) returns EXP(b) - EXP(b-c).
+*/
+mp_prec_t
+mpfr_cmp2 (mpfr_srcptr b, mpfr_srcptr c)
+{
+ mp_limb_t *bp, *cp, bb, cc = 0, lastc = 0, dif, high_dif = 0;
+ mp_size_t bn, cn;
+ mp_exp_unsigned_t diff_exp;
+ mp_prec_t res = 0;
+
+ MPFR_ASSERTN(MPFR_IS_FP(b));
+ MPFR_ASSERTN(MPFR_IS_FP(c));
+
+ if (MPFR_IS_ZERO(c))
+ return 0;
+
+ MPFR_ASSERTN(MPFR_NOTZERO(b));
+
+ bp = MPFR_MANT(b);
+ cp = MPFR_MANT(c);
+
+ bn = (MPFR_PREC(b) - 1) / BITS_PER_MP_LIMB;
+ cn = (MPFR_PREC(c) - 1) / BITS_PER_MP_LIMB;
+
+ MPFR_ASSERTN(MPFR_EXP(b) >= MPFR_EXP(c));
+ diff_exp = (mp_exp_unsigned_t) MPFR_EXP(b) - MPFR_EXP(c);
+
+ if (diff_exp == 0) /* otherwise the shifted most significant limb of c
+ cannot match bp[bn] */
+ {
+ while (bn>=0 && cn>=0 && bp[bn] == cp[cn])
+ {
+ bn--;
+ cn--;
+ res += BITS_PER_MP_LIMB;
+ }
+
+ if (bn < 0) /* b = c */
+ return MPFR_PREC(b);
+
+ if (cn < 0) /* c discards exactly the upper part of b */
+ {
+ unsigned int z;
+
+ while (bn>=0 && bp[bn]==0)
+ {
+ bn--;
+ res += BITS_PER_MP_LIMB;
+ }
+
+ if (bn < 0) /* b = c */
+ return MPFR_PREC(b);
+
+ count_leading_zeros(z, bp[bn]); /* bp[bn] <> 0 */
+ return res + z;
+ }
+ }
+
+ /* now we have removed the identical upper limbs of b and c
+ (can happen only when diff_exp = 0): bp[bn] > cc, bn>=0, cn>=0 */
+
+ if (diff_exp < BITS_PER_MP_LIMB)
+ {
+ cc = cp[cn] >> diff_exp;
+ /* warning: a shift by BITS_PER_MP_LIMB may give wrong results */
+ if (diff_exp)
+ lastc = cp[cn] << (BITS_PER_MP_LIMB - diff_exp);
+ cn--;
+ }
+ else
+ diff_exp -= BITS_PER_MP_LIMB;
+
+ dif = bp[bn--] - cc; /* necessarily dif >= 1 */
+
+ while ((cn >= 0 || lastc != 0) && (high_dif == 0) && (dif == 1))
+ { /* dif=1 implies diff_exp = 0 or 1 */
+ bb = (bn >= 0) ? bp[bn] : 0;
+ cc = lastc;
+ if (cn >= 0)
+ {
+ if (diff_exp == 0)
+ {
+ cc += cp[cn];
+ }
+ else /* diff_exp = 1 */
+ {
+ cc += cp[cn] >> 1;
+ lastc = cp[cn] << (BITS_PER_MP_LIMB - 1);
+ }
+ }
+ else
+ lastc = 0;
+ high_dif = 1 - mpn_sub_n (&dif, &bb, &cc, 1);
+ bn--;
+ cn--;
+ res += BITS_PER_MP_LIMB;
+ }
+
+ /* (cn<0 and lastc=0) or (high_dif,dif)<>(0,1) */
+
+ if (high_dif != 0) /* necessarily high_dif = 1 */
+ {
+ res--;
+ if (dif != 0)
+ return res;
+ }
+ else /* high_dif = 0 */
+ {
+ unsigned int z;
+
+ count_leading_zeros(z, dif); /* dif > 1 here */
+ res += z;
+ if (dif != (MP_LIMB_T_ONE << (BITS_PER_MP_LIMB - z - 1)))
+ return res; /* dif is not a power of two */
+ }
+
+ /* now result is res + (low(b) < low(c)) */
+ while (bn >= 0 && (cn >= 0 || lastc != 0))
+ {
+ if (diff_exp >= BITS_PER_MP_LIMB)
+ diff_exp -= BITS_PER_MP_LIMB;
+ else
+ {
+ cc = lastc;
+ if (cn >= 0)
+ {
+ cc += cp[cn] >> diff_exp;
+ if (diff_exp != 0)
+ lastc = cp[cn] << (BITS_PER_MP_LIMB - diff_exp);
+ }
+ else
+ lastc = 0;
+ cn--;
+ }
+ if (bp[bn] != cc)
+ return res + (bp[bn] < cc);
+ bn--;
+ }
+
+ if (bn < 0)
+ {
+ if (lastc != 0)
+ return res + 1;
+ while (cn >= 0 && cp[cn] == 0)
+ cn--;
+ return res + (cn >= 0);
+ }
+
+ return res; /* remainder from c is 0 */
+}