Coverage Report

Created: 2025-03-18 06:55

/src/gmp/mpn/toom_interpolate_16pts.c
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/* Interpolation for the algorithm Toom-Cook 8.5-way.
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   Contributed to the GNU project by Marco Bodrato.
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   THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE.  IT IS ONLY
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   SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES.  IN FACT, IT IS ALMOST
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   GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE.
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Copyright 2009, 2010, 2012, 2015, 2020 Free Software Foundation, Inc.
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This file is part of the GNU MP Library.
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The GNU MP Library is free software; you can redistribute it and/or modify
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it under the terms of either:
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  * the GNU Lesser General Public License as published by the Free
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    Software Foundation; either version 3 of the License, or (at your
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    option) any later version.
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or
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  * the GNU General Public License as published by the Free Software
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    Foundation; either version 2 of the License, or (at your option) any
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    later version.
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or both in parallel, as here.
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The GNU MP Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
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for more details.
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You should have received copies of the GNU General Public License and the
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GNU Lesser General Public License along with the GNU MP Library.  If not,
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see https://www.gnu.org/licenses/.  */
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#include "gmp-impl.h"
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#if GMP_NUMB_BITS < 29
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#error Not implemented: Both sublsh_n(,,,28) should be corrected; r2 and r5 need one more LIMB.
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#endif
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#if GMP_NUMB_BITS < 28
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#error Not implemented: divexact_by188513325 and _by182712915 will not work.
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#endif
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/* FIXME: tuneup should decide the best variant */
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#ifndef AORSMUL_FASTER_AORS_AORSLSH
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#define AORSMUL_FASTER_AORS_AORSLSH 1
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#endif
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#ifndef AORSMUL_FASTER_AORS_2AORSLSH
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#define AORSMUL_FASTER_AORS_2AORSLSH 1
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#endif
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#ifndef AORSMUL_FASTER_2AORSLSH
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#define AORSMUL_FASTER_2AORSLSH 1
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#endif
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#ifndef AORSMUL_FASTER_3AORSLSH
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#define AORSMUL_FASTER_3AORSLSH 1
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#endif
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#if HAVE_NATIVE_mpn_sublsh_n
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#define DO_mpn_sublsh_n(dst,src,n,s,ws) mpn_sublsh_n(dst,dst,src,n,s)
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#else
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static mp_limb_t
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DO_mpn_sublsh_n(mp_ptr dst, mp_srcptr src, mp_size_t n, unsigned int s, mp_ptr ws)
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0
{
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#if USE_MUL_1 && 0
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  return mpn_submul_1(dst,src,n,CNST_LIMB(1) <<(s));
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#else
74
0
  mp_limb_t __cy;
75
0
  __cy = mpn_lshift(ws,src,n,s);
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0
  return    __cy + mpn_sub_n(dst,dst,ws,n);
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0
#endif
78
0
}
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#endif
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#if HAVE_NATIVE_mpn_addlsh_n
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#define DO_mpn_addlsh_n(dst,src,n,s,ws) mpn_addlsh_n(dst,dst,src,n,s)
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#else
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#if !defined (AORSMUL_FASTER_2AORSLSH) && !defined (AORSMUL_FASTER_AORS_2AORSLSH)
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static mp_limb_t
86
DO_mpn_addlsh_n(mp_ptr dst, mp_srcptr src, mp_size_t n, unsigned int s, mp_ptr ws)
87
{
88
#if USE_MUL_1 && 0
89
  return mpn_addmul_1(dst,src,n,CNST_LIMB(1) <<(s));
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#else
91
  mp_limb_t __cy;
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  __cy = mpn_lshift(ws,src,n,s);
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  return    __cy + mpn_add_n(dst,dst,ws,n);
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#endif
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}
96
#endif
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#endif
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#if HAVE_NATIVE_mpn_subrsh
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#define DO_mpn_subrsh(dst,nd,src,ns,s,ws) mpn_subrsh(dst,nd,src,ns,s)
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#else
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/* FIXME: This is not a correct definition, it assumes no carry */
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0
#define DO_mpn_subrsh(dst,nd,src,ns,s,ws)       \
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0
do {                 \
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0
  mp_limb_t __cy;             \
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0
  MPN_DECR_U (dst, nd, src[0] >> s);          \
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0
  __cy = DO_mpn_sublsh_n (dst, src + 1, ns - 1, GMP_NUMB_BITS - s, ws);  \
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0
  MPN_DECR_U (dst + ns - 1, nd - ns + 1, __cy);       \
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0
} while (0)
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#endif
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#if GMP_NUMB_BITS < 43
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#define BIT_CORRECTION 1
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#define CORRECTION_BITS GMP_NUMB_BITS
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#else
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0
#define BIT_CORRECTION 0
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0
#define CORRECTION_BITS 0
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#endif
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#define BINVERT_9 \
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0
  ((((GMP_NUMB_MAX / 9) << (6 - GMP_NUMB_BITS % 6)) * 8 & GMP_NUMB_MAX) | 0x39)
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#define BINVERT_255 \
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0
  (GMP_NUMB_MAX - ((GMP_NUMB_MAX / 255) << (8 - GMP_NUMB_BITS % 8)))
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  /* FIXME: find some more general expressions for inverses */
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#if GMP_LIMB_BITS == 32
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#define BINVERT_2835  (GMP_NUMB_MASK &    CNST_LIMB(0x53E3771B))
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#define BINVERT_42525 (GMP_NUMB_MASK &    CNST_LIMB(0x9F314C35))
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#define BINVERT_182712915 (GMP_NUMB_MASK &  CNST_LIMB(0x550659DB))
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#define BINVERT_188513325 (GMP_NUMB_MASK &  CNST_LIMB(0xFBC333A5))
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#define BINVERT_255x182712915L (GMP_NUMB_MASK & CNST_LIMB(0x6FC4CB25))
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#define BINVERT_255x188513325L (GMP_NUMB_MASK & CNST_LIMB(0x6864275B))
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#if GMP_NAIL_BITS == 0
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#define BINVERT_255x182712915H CNST_LIMB(0x1B649A07)
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#define BINVERT_255x188513325H CNST_LIMB(0x06DB993A)
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#else /* GMP_NAIL_BITS != 0 */
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#define BINVERT_255x182712915H \
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  (GMP_NUMB_MASK & CNST_LIMB((0x1B649A07<<GMP_NAIL_BITS) | (0x6FC4CB25>>GMP_NUMB_BITS)))
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#define BINVERT_255x188513325H \
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  (GMP_NUMB_MASK & CNST_LIMB((0x06DB993A<<GMP_NAIL_BITS) | (0x6864275B>>GMP_NUMB_BITS)))
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#endif
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#else
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#if GMP_LIMB_BITS == 64
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0
#define BINVERT_2835  (GMP_NUMB_MASK &  CNST_LIMB(0x938CC70553E3771B))
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0
#define BINVERT_42525 (GMP_NUMB_MASK &  CNST_LIMB(0xE7B40D449F314C35))
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0
#define BINVERT_255x182712915  (GMP_NUMB_MASK &  CNST_LIMB(0x1B649A076FC4CB25))
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0
#define BINVERT_255x188513325  (GMP_NUMB_MASK &  CNST_LIMB(0x06DB993A6864275B))
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#endif
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#endif
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#ifndef mpn_divexact_by255
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#if GMP_NUMB_BITS % 8 == 0
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#define mpn_divexact_by255(dst,src,size) \
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  (255 & 1 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 255)))
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#else
158
#if HAVE_NATIVE_mpn_pi1_bdiv_q_1
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#define mpn_divexact_by255(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(255),BINVERT_255,0)
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#else
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#define mpn_divexact_by255(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(255))
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#endif
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#endif
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#endif
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#ifndef mpn_divexact_by255x4
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1
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0
#define mpn_divexact_by255x4(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(255),BINVERT_255,2)
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#else
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#define mpn_divexact_by255x4(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(255)<<2)
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#endif
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#endif
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#ifndef mpn_divexact_by9x16
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1
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0
#define mpn_divexact_by9x16(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(9),BINVERT_9,4)
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#else
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#define mpn_divexact_by9x16(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(9)<<4)
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#endif
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#endif
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#ifndef mpn_divexact_by42525x16
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_42525)
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0
#define mpn_divexact_by42525x16(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(42525),BINVERT_42525,4)
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#else
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#define mpn_divexact_by42525x16(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(42525)<<4)
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#endif
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#endif
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#ifndef mpn_divexact_by2835x64
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_2835)
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0
#define mpn_divexact_by2835x64(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(2835),BINVERT_2835,6)
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#else
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#define mpn_divexact_by2835x64(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(2835)<<6)
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#endif
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#endif
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#ifndef  mpn_divexact_by255x182712915
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#if GMP_NUMB_BITS < 36
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#if HAVE_NATIVE_mpn_bdiv_q_2_pi2 && defined(BINVERT_255x182712915H)
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/* FIXME: use mpn_bdiv_q_2_pi2 */
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#endif
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_182712915)
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#define mpn_divexact_by255x182712915(dst,src,size)        \
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  do {                    \
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    mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(182712915),BINVERT_182712915,0);  \
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    mpn_divexact_by255(dst,dst,size);           \
208
  } while(0)
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#else
210
#define mpn_divexact_by255x182712915(dst,src,size)  \
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  do {              \
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    mpn_divexact_1(dst,src,size,CNST_LIMB(182712915));  \
213
    mpn_divexact_by255(dst,dst,size);     \
214
  } while(0)
215
#endif
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#else /* GMP_NUMB_BITS > 35 */
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_255x182712915)
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#define mpn_divexact_by255x182712915(dst,src,size) \
219
0
  mpn_pi1_bdiv_q_1(dst,src,size,255*CNST_LIMB(182712915),BINVERT_255x182712915,0)
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#else
221
#define mpn_divexact_by255x182712915(dst,src,size) mpn_divexact_1(dst,src,size,255*CNST_LIMB(182712915))
222
#endif
223
#endif /* GMP_NUMB_BITS >?< 36 */
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#endif
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#ifndef  mpn_divexact_by255x188513325
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#if GMP_NUMB_BITS < 36
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#if HAVE_NATIVE_mpn_bdiv_q_1_pi2 && defined(BINVERT_255x188513325H)
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/* FIXME: use mpn_bdiv_q_1_pi2 */
230
#endif
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_188513325)
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#define mpn_divexact_by255x188513325(dst,src,size)      \
233
  do {                  \
234
    mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(188513325),BINVERT_188513325,0);  \
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    mpn_divexact_by255(dst,dst,size);         \
236
  } while(0)
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#else
238
#define mpn_divexact_by255x188513325(dst,src,size)  \
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  do {              \
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    mpn_divexact_1(dst,src,size,CNST_LIMB(188513325));  \
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    mpn_divexact_by255(dst,dst,size);     \
242
  } while(0)
243
#endif
244
#else /* GMP_NUMB_BITS > 35 */
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#if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_255x188513325)
246
#define mpn_divexact_by255x188513325(dst,src,size) \
247
0
  mpn_pi1_bdiv_q_1(dst,src,size,255*CNST_LIMB(188513325),BINVERT_255x188513325,0)
248
#else
249
#define mpn_divexact_by255x188513325(dst,src,size) mpn_divexact_1(dst,src,size,255*CNST_LIMB(188513325))
250
#endif
251
#endif /* GMP_NUMB_BITS >?< 36 */
252
#endif
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/* Interpolation for Toom-8.5 (or Toom-8), using the evaluation
255
   points: infinity(8.5 only), +-8, +-4, +-2, +-1, +-1/4, +-1/2,
256
   +-1/8, 0. More precisely, we want to compute
257
   f(2^(GMP_NUMB_BITS * n)) for a polynomial f of degree 15 (or
258
   14), given the 16 (rsp. 15) values:
259
260
     r0 = limit at infinity of f(x) / x^15,
261
     r1 = f(8),f(-8),
262
     r2 = f(4),f(-4),
263
     r3 = f(2),f(-2),
264
     r4 = f(1),f(-1),
265
     r5 = f(1/4),f(-1/4),
266
     r6 = f(1/2),f(-1/2),
267
     r7 = f(1/8),f(-1/8),
268
     r8 = f(0).
269
270
   All couples of the form f(n),f(-n) must be already mixed with
271
   toom_couple_handling(f(n),...,f(-n),...)
272
273
   The result is stored in {pp, spt + 7*n (or 8*n)}.
274
   At entry, r8 is stored at {pp, 2n},
275
   r6 is stored at {pp + 3n, 3n + 1}.
276
   r4 is stored at {pp + 7n, 3n + 1}.
277
   r2 is stored at {pp +11n, 3n + 1}.
278
   r0 is stored at {pp +15n, spt}.
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280
   The other values are 3n+1 limbs each (with most significant limbs small).
281
282
   Negative intermediate results are stored two-complemented.
283
   Inputs are destroyed.
284
*/
285
286
void
287
mpn_toom_interpolate_16pts (mp_ptr pp, mp_ptr r1, mp_ptr r3, mp_ptr r5, mp_ptr r7,
288
      mp_size_t n, mp_size_t spt, int half, mp_ptr wsi)
289
0
{
290
0
  mp_limb_t cy;
291
0
  mp_size_t n3;
292
0
  mp_size_t n3p1;
293
0
  n3 = 3 * n;
294
0
  n3p1 = n3 + 1;
295
296
0
#define   r6    (pp + n3)      /* 3n+1 */
297
0
#define   r4    (pp + 7 * n)      /* 3n+1 */
298
0
#define   r2    (pp +11 * n)      /* 3n+1 */
299
0
#define   r0    (pp +15 * n)      /* s+t <= 2*n */
300
301
0
  ASSERT( spt <= 2 * n );
302
  /******************************* interpolation *****************************/
303
0
  if( half != 0) {
304
0
    cy = mpn_sub_n (r4, r4, r0, spt);
305
0
    MPN_DECR_U (r4 + spt, n3p1 - spt, cy);
306
307
0
    cy = DO_mpn_sublsh_n (r3, r0, spt, 14, wsi);
308
0
    MPN_DECR_U (r3 + spt, n3p1 - spt, cy);
309
0
    DO_mpn_subrsh(r6, n3p1, r0, spt, 2, wsi);
310
311
0
    cy = DO_mpn_sublsh_n (r2, r0, spt, 28, wsi);
312
0
    MPN_DECR_U (r2 + spt, n3p1 - spt, cy);
313
0
    DO_mpn_subrsh(r5, n3p1, r0, spt, 4, wsi);
314
315
0
    cy = DO_mpn_sublsh_n (r1 + BIT_CORRECTION, r0, spt, 42 - CORRECTION_BITS, wsi);
316
#if BIT_CORRECTION
317
    cy = mpn_sub_1 (r1 + spt + BIT_CORRECTION, r1 + spt + BIT_CORRECTION,
318
        n3p1 - spt - BIT_CORRECTION, cy);
319
    ASSERT (BIT_CORRECTION > 0 || cy == 0);
320
    /* FIXME: assumes r7[n3p1] is writable (it is if r5 follows). */
321
    cy = r7[n3p1];
322
    r7[n3p1] = 0x80;
323
#else
324
0
    MPN_DECR_U (r1 + spt + BIT_CORRECTION, n3p1 - spt - BIT_CORRECTION, cy);
325
0
#endif
326
0
    DO_mpn_subrsh(r7, n3p1 + BIT_CORRECTION, r0, spt, 6, wsi);
327
#if BIT_CORRECTION
328
    /* FIXME: assumes r7[n3p1] is writable. */
329
    ASSERT ( BIT_CORRECTION > 0 || r7[n3p1] == 0x80 );
330
    r7[n3p1] = cy;
331
#endif
332
0
  };
333
334
0
  r5[n3] -= DO_mpn_sublsh_n (r5 + n, pp, 2 * n, 28, wsi);
335
0
  DO_mpn_subrsh(r2 + n, 2 * n + 1, pp, 2 * n, 4, wsi);
336
337
#if HAVE_NATIVE_mpn_add_n_sub_n
338
  mpn_add_n_sub_n (r2, r5, r5, r2, n3p1);
339
#else
340
0
  mpn_sub_n (wsi, r5, r2, n3p1); /* can be negative */
341
0
  ASSERT_NOCARRY(mpn_add_n (r2, r2, r5, n3p1));
342
0
  MP_PTR_SWAP(r5, wsi);
343
0
#endif
344
345
0
  r6[n3] -= DO_mpn_sublsh_n (r6 + n, pp, 2 * n, 14, wsi);
346
0
  DO_mpn_subrsh(r3 + n, 2 * n + 1, pp, 2 * n, 2, wsi);
347
348
#if HAVE_NATIVE_mpn_add_n_sub_n
349
  mpn_add_n_sub_n (r3, r6, r6, r3, n3p1);
350
#else
351
0
  ASSERT_NOCARRY(mpn_add_n (wsi, r3, r6, n3p1));
352
0
  mpn_sub_n (r6, r6, r3, n3p1); /* can be negative */
353
0
  MP_PTR_SWAP(r3, wsi);
354
0
#endif
355
356
0
  cy = DO_mpn_sublsh_n (r7 + n + BIT_CORRECTION, pp, 2 * n, 42 - CORRECTION_BITS, wsi);
357
#if BIT_CORRECTION
358
  MPN_DECR_U (r1 + n, 2 * n + 1, pp[0] >> 6);
359
  cy = DO_mpn_sublsh_n (r1 + n, pp + 1, 2 * n - 1, GMP_NUMB_BITS - 6, wsi);
360
  cy = mpn_sub_1(r1 + 3 * n - 1, r1 + 3 * n - 1, 2, cy);
361
  ASSERT ( BIT_CORRECTION > 0 || cy != 0 );
362
#else
363
0
  r7[n3] -= cy;
364
0
  DO_mpn_subrsh(r1 + n, 2 * n + 1, pp, 2 * n, 6, wsi);
365
0
#endif
366
367
#if HAVE_NATIVE_mpn_add_n_sub_n
368
  mpn_add_n_sub_n (r1, r7, r7, r1, n3p1);
369
#else
370
0
  mpn_sub_n (wsi, r7, r1, n3p1); /* can be negative */
371
0
  mpn_add_n (r1, r1, r7, n3p1);  /* if BIT_CORRECTION != 0, can give a carry. */
372
0
  MP_PTR_SWAP(r7, wsi);
373
0
#endif
374
375
0
  r4[n3] -= mpn_sub_n (r4+n, r4+n, pp, 2 * n);
376
377
0
#if AORSMUL_FASTER_2AORSLSH
378
0
  mpn_submul_1 (r5, r6, n3p1, 1028); /* can be negative */
379
#else
380
  DO_mpn_sublsh_n (r5, r6, n3p1, 2, wsi); /* can be negative */
381
  DO_mpn_sublsh_n (r5, r6, n3p1,10, wsi); /* can be negative */
382
#endif
383
384
0
  mpn_submul_1 (r7, r5, n3p1, 1300); /* can be negative */
385
0
#if AORSMUL_FASTER_3AORSLSH
386
0
  mpn_submul_1 (r7, r6, n3p1, 1052688); /* can be negative */
387
#else
388
  DO_mpn_sublsh_n (r7, r6, n3p1, 4, wsi); /* can be negative */
389
  DO_mpn_sublsh_n (r7, r6, n3p1,12, wsi); /* can be negative */
390
  DO_mpn_sublsh_n (r7, r6, n3p1,20, wsi); /* can be negative */
391
#endif
392
0
  mpn_divexact_by255x188513325(r7, r7, n3p1);
393
394
0
  mpn_submul_1 (r5, r7, n3p1, 12567555); /* can be negative */
395
  /* A division by 2835x64 follows. Warning: the operand can be negative! */
396
0
  mpn_divexact_by2835x64(r5, r5, n3p1);
397
0
  if ((r5[n3] & (GMP_NUMB_MAX << (GMP_NUMB_BITS-7))) != 0)
398
0
    r5[n3] |= (GMP_NUMB_MAX << (GMP_NUMB_BITS-6));
399
400
0
#if AORSMUL_FASTER_AORS_AORSLSH
401
0
  mpn_submul_1 (r6, r7, n3p1, 4095); /* can be negative */
402
#else
403
  mpn_add_n (r6, r6, r7, n3p1); /* can give a carry */
404
  DO_mpn_sublsh_n (r6, r7, n3p1, 12, wsi); /* can be negative */
405
#endif
406
0
#if AORSMUL_FASTER_2AORSLSH
407
0
  mpn_addmul_1 (r6, r5, n3p1, 240); /* can be negative */
408
#else
409
  DO_mpn_addlsh_n (r6, r5, n3p1, 8, wsi); /* can give a carry */
410
  DO_mpn_sublsh_n (r6, r5, n3p1, 4, wsi); /* can be negative */
411
#endif
412
  /* A division by 255x4 follows. Warning: the operand can be negative! */
413
0
  mpn_divexact_by255x4(r6, r6, n3p1);
414
0
  if ((r6[n3] & (GMP_NUMB_MAX << (GMP_NUMB_BITS-3))) != 0)
415
0
    r6[n3] |= (GMP_NUMB_MAX << (GMP_NUMB_BITS-2));
416
417
0
  ASSERT_NOCARRY(DO_mpn_sublsh_n (r3, r4, n3p1, 7, wsi));
418
419
0
  ASSERT_NOCARRY(DO_mpn_sublsh_n (r2, r4, n3p1, 13, wsi));
420
0
  ASSERT_NOCARRY(mpn_submul_1 (r2, r3, n3p1, 400));
421
422
  /* If GMP_NUMB_BITS < 42 next operations on r1 can give a carry!*/
423
0
  DO_mpn_sublsh_n (r1, r4, n3p1, 19, wsi);
424
0
  mpn_submul_1 (r1, r2, n3p1, 1428);
425
0
  mpn_submul_1 (r1, r3, n3p1, 112896);
426
0
  mpn_divexact_by255x182712915(r1, r1, n3p1);
427
428
0
  ASSERT_NOCARRY(mpn_submul_1 (r2, r1, n3p1, 15181425));
429
0
  mpn_divexact_by42525x16(r2, r2, n3p1);
430
431
0
#if AORSMUL_FASTER_AORS_2AORSLSH
432
0
  ASSERT_NOCARRY(mpn_submul_1 (r3, r1, n3p1, 3969));
433
#else
434
  ASSERT_NOCARRY(mpn_sub_n (r3, r3, r1, n3p1));
435
  ASSERT_NOCARRY(DO_mpn_addlsh_n (r3, r1, n3p1, 7, wsi));
436
  ASSERT_NOCARRY(DO_mpn_sublsh_n (r3, r1, n3p1, 12, wsi));
437
#endif
438
0
  ASSERT_NOCARRY(mpn_submul_1 (r3, r2, n3p1, 900));
439
0
  mpn_divexact_by9x16(r3, r3, n3p1);
440
441
0
  ASSERT_NOCARRY(mpn_sub_n (r4, r4, r1, n3p1));
442
0
  ASSERT_NOCARRY(mpn_sub_n (r4, r4, r3, n3p1));
443
0
  ASSERT_NOCARRY(mpn_sub_n (r4, r4, r2, n3p1));
444
445
0
#ifdef HAVE_NATIVE_mpn_rsh1add_n
446
0
  mpn_rsh1add_n (r6, r2, r6, n3p1);
447
0
  r6 [n3p1 - 1] &= GMP_NUMB_MASK >> 1;
448
#else
449
  mpn_add_n (r6, r2, r6, n3p1);
450
  ASSERT_NOCARRY(mpn_rshift(r6, r6, n3p1, 1));
451
#endif
452
0
  ASSERT_NOCARRY(mpn_sub_n (r2, r2, r6, n3p1));
453
454
0
#ifdef HAVE_NATIVE_mpn_rsh1sub_n
455
0
  mpn_rsh1sub_n (r5, r3, r5, n3p1);
456
0
  r5 [n3p1 - 1] &= GMP_NUMB_MASK >> 1;
457
#else
458
  mpn_sub_n (r5, r3, r5, n3p1);
459
  ASSERT_NOCARRY(mpn_rshift(r5, r5, n3p1, 1));
460
#endif
461
0
  ASSERT_NOCARRY(mpn_sub_n (r3, r3, r5, n3p1));
462
463
0
#ifdef HAVE_NATIVE_mpn_rsh1add_n
464
0
  mpn_rsh1add_n (r7, r1, r7, n3p1);
465
0
  r7 [n3p1 - 1] &= GMP_NUMB_MASK >> 1;
466
#else
467
  mpn_add_n (r7, r1, r7, n3p1);
468
  ASSERT_NOCARRY(mpn_rshift(r7, r7, n3p1, 1));
469
#endif
470
0
  ASSERT_NOCARRY(mpn_sub_n (r1, r1, r7, n3p1));
471
472
  /* last interpolation steps... */
473
  /* ... could be mixed with recomposition
474
  ||H-r7|M-r7|L-r7|   ||H-r5|M-r5|L-r5|
475
  */
476
477
  /***************************** recomposition *******************************/
478
  /*
479
    pp[] prior to operations:
480
    |M r0|L r0|___||H r2|M r2|L r2|___||H r4|M r4|L r4|___||H r6|M r6|L r6|____|H_r8|L r8|pp
481
482
    summation scheme for remaining operations:
483
    |__16|n_15|n_14|n_13|n_12|n_11|n_10|n__9|n__8|n__7|n__6|n__5|n__4|n__3|n__2|n___|n___|pp
484
    |M r0|L r0|___||H r2|M r2|L r2|___||H r4|M r4|L r4|___||H r6|M r6|L r6|____|H_r8|L r8|pp
485
  ||H r1|M r1|L r1|   ||H r3|M r3|L r3|   ||H_r5|M_r5|L_r5|   ||H r7|M r7|L r7|
486
  */
487
488
0
  cy = mpn_add_n (pp + n, pp + n, r7, n);
489
0
  cy = mpn_add_1 (pp + 2 * n, r7 + n, n, cy);
490
0
#if HAVE_NATIVE_mpn_add_nc
491
0
  cy = r7[n3] + mpn_add_nc(pp + n3, pp + n3, r7 + 2 * n, n, cy);
492
#else
493
  MPN_INCR_U (r7 + 2 * n, n + 1, cy);
494
  cy = r7[n3] + mpn_add_n (pp + n3, pp + n3, r7 + 2 * n, n);
495
#endif
496
0
  MPN_INCR_U (pp + 4 * n, 2 * n + 1, cy);
497
498
0
  pp[2 * n3]+= mpn_add_n (pp + 5 * n, pp + 5 * n, r5, n);
499
0
  cy = mpn_add_1 (pp + 2 * n3, r5 + n, n, pp[2 * n3]);
500
0
#if HAVE_NATIVE_mpn_add_nc
501
0
  cy = r5[n3] + mpn_add_nc(pp + 7 * n, pp + 7 * n, r5 + 2 * n, n, cy);
502
#else
503
  MPN_INCR_U (r5 + 2 * n, n + 1, cy);
504
  cy = r5[n3] + mpn_add_n (pp + 7 * n, pp + 7 * n, r5 + 2 * n, n);
505
#endif
506
0
  MPN_INCR_U (pp + 8 * n, 2 * n + 1, cy);
507
508
0
  pp[10 * n]+= mpn_add_n (pp + 9 * n, pp + 9 * n, r3, n);
509
0
  cy = mpn_add_1 (pp + 10 * n, r3 + n, n, pp[10 * n]);
510
0
#if HAVE_NATIVE_mpn_add_nc
511
0
  cy = r3[n3] + mpn_add_nc(pp +11 * n, pp +11 * n, r3 + 2 * n, n, cy);
512
#else
513
  MPN_INCR_U (r3 + 2 * n, n + 1, cy);
514
  cy = r3[n3] + mpn_add_n (pp +11 * n, pp +11 * n, r3 + 2 * n, n);
515
#endif
516
0
  MPN_INCR_U (pp +12 * n, 2 * n + 1, cy);
517
518
0
  pp[14 * n]+=mpn_add_n (pp +13 * n, pp +13 * n, r1, n);
519
0
  if ( half ) {
520
0
    cy = mpn_add_1 (pp + 14 * n, r1 + n, n, pp[14 * n]);
521
0
#if HAVE_NATIVE_mpn_add_nc
522
0
    if(LIKELY(spt > n)) {
523
0
      cy = r1[n3] + mpn_add_nc(pp + 15 * n, pp + 15 * n, r1 + 2 * n, n, cy);
524
0
      MPN_INCR_U (pp + 16 * n, spt - n, cy);
525
0
    } else {
526
0
      ASSERT_NOCARRY(mpn_add_nc(pp + 15 * n, pp + 15 * n, r1 + 2 * n, spt, cy));
527
0
    }
528
#else
529
    MPN_INCR_U (r1 + 2 * n, n + 1, cy);
530
    if(LIKELY(spt > n)) {
531
      cy = r1[n3] + mpn_add_n (pp + 15 * n, pp + 15 * n, r1 + 2 * n, n);
532
      MPN_INCR_U (pp + 16 * n, spt - n, cy);
533
    } else {
534
      ASSERT_NOCARRY(mpn_add_n (pp + 15 * n, pp + 15 * n, r1 + 2 * n, spt));
535
    }
536
#endif
537
0
  } else {
538
0
    ASSERT_NOCARRY(mpn_add_1 (pp + 14 * n, r1 + n, spt, pp[14 * n]));
539
0
  }
540
541
0
#undef   r0
542
0
#undef   r2
543
0
#undef   r4
544
0
#undef   r6
545
0
}