/* Interpolaton for the algorithm Toom-Cook 8.5-way. Contributed to the GNU project by Marco Bodrato. THE FUNCTION IN THIS FILE IS INTERNAL WITH A MUTABLE INTERFACE. IT IS ONLY SAFE TO REACH IT THROUGH DOCUMENTED INTERFACES. IN FACT, IT IS ALMOST GUARANTEED THAT IT WILL CHANGE OR DISAPPEAR IN A FUTURE GNU MP RELEASE. Copyright 2009, 2010 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 "mpir.h" #include "gmp-impl.h" #if GMP_NUMB_BITS < 29 #error Not implemented: Both sublsh_n(,,,28) should be corrected; r2 and r5 need one more LIMB. #endif #if GMP_NUMB_BITS < 28 #error Not implemented: divexact_by188513325 and _by182712915 will not work. #endif #if HAVE_NATIVE_mpn_sublsh_n #define DO_mpn_sublsh_n(dst,src,n,s,ws) mpn_sublsh_n(dst,dst,src,n,s) #else static mp_limb_t DO_mpn_sublsh_n(mp_ptr dst, mp_srcptr src, mp_size_t n, unsigned int s, mp_ptr ws) { #if USE_MUL_1 && 0 return mpn_submul_1(dst,src,n,CNST_LIMB(1) <<(s)); #else mp_limb_t __cy; __cy = mpn_lshift(ws,src,n,s); return __cy + mpn_sub_n(dst,dst,ws,n); #endif } #endif #if HAVE_NATIVE_mpn_addlsh_n #define DO_mpn_addlsh_n(dst,src,n,s,ws) mpn_addlsh_n(dst,dst,src,n,s) #else static mp_limb_t DO_mpn_addlsh_n(mp_ptr dst, mp_srcptr src, mp_size_t n, unsigned int s, mp_ptr ws) { #if USE_MUL_1 && 0 return mpn_addmul_1(dst,src,n,CNST_LIMB(1) <<(s)); #else mp_limb_t __cy; __cy = mpn_lshift(ws,src,n,s); return __cy + mpn_add_n(dst,dst,ws,n); #endif } #endif #if HAVE_NATIVE_mpn_subrsh #define DO_mpn_subrsh(dst,nd,src,ns,s,ws) mpn_subrsh(dst,nd,src,ns,s) #else /* FIXME: This is not a correct definition, it assumes no carry */ #define DO_mpn_subrsh(dst,nd,src,ns,s,ws) \ do { \ mp_limb_t __cy; \ MPN_DECR_U (dst, nd, src[0] >> s); \ __cy = DO_mpn_sublsh_n (dst, src + 1, ns - 1, GMP_NUMB_BITS - s, ws); \ MPN_DECR_U (dst + ns - 1, nd - ns + 1, __cy); \ } while (0) #endif /* FIXME: tuneup should decide the best variant */ #ifndef AORSMUL_FASTER_AORS_AORSLSH #define AORSMUL_FASTER_AORS_AORSLSH 1 #endif #ifndef AORSMUL_FASTER_AORS_2AORSLSH #define AORSMUL_FASTER_AORS_2AORSLSH 1 #endif #ifndef AORSMUL_FASTER_2AORSLSH #define AORSMUL_FASTER_2AORSLSH 1 #endif #ifndef AORSMUL_FASTER_3AORSLSH #define AORSMUL_FASTER_3AORSLSH 1 #endif #if GMP_NUMB_BITS < 43 #define BIT_CORRECTION 1 #define CORRECTION_BITS GMP_NUMB_BITS #else #define BIT_CORRECTION 0 #define CORRECTION_BITS 0 #endif #define BINVERT_9 \ ((((GMP_NUMB_MAX / 9) << (6 - GMP_NUMB_BITS % 6)) * 8 & GMP_NUMB_MAX) | 0x39) #define BINVERT_255 \ (GMP_NUMB_MAX - ((GMP_NUMB_MAX / 255) << (8 - GMP_NUMB_BITS % 8))) /* FIXME: find some more general expressions for inverses */ #if GMP_LIMB_BITS == 32 #define BINVERT_2835 (GMP_NUMB_MASK & CNST_LIMB(0x53E3771B)) #define BINVERT_42525 (GMP_NUMB_MASK & CNST_LIMB(0x9F314C35)) #define BINVERT_182712915 (GMP_NUMB_MASK & CNST_LIMB(0x550659DB)) #define BINVERT_188513325 (GMP_NUMB_MASK & CNST_LIMB(0xFBC333A5)) #define BINVERT_255x182712915L (GMP_NUMB_MASK & CNST_LIMB(0x6FC4CB25)) #define BINVERT_255x188513325L (GMP_NUMB_MASK & CNST_LIMB(0x6864275B)) #if GMP_NAIL_BITS == 0 #define BINVERT_255x182712915H CNST_LIMB(0x1B649A07) #define BINVERT_255x188513325H CNST_LIMB(0x06DB993A) #else /* GMP_NAIL_BITS != 0 */ #define BINVERT_255x182712915H \ (GMP_NUMB_MASK & CNST_LIMB((0x1B649A07<>GMP_NUMB_BITS))) #define BINVERT_255x188513325H \ (GMP_NUMB_MASK & CNST_LIMB((0x06DB993A<>GMP_NUMB_BITS))) #endif #else #if GMP_LIMB_BITS == 64 #define BINVERT_2835 (GMP_NUMB_MASK & CNST_LIMB(0x938CC70553E3771B)) #define BINVERT_42525 (GMP_NUMB_MASK & CNST_LIMB(0xE7B40D449F314C35)) #define BINVERT_255x182712915 (GMP_NUMB_MASK & CNST_LIMB(0x1B649A076FC4CB25)) #define BINVERT_255x188513325 (GMP_NUMB_MASK & CNST_LIMB(0x06DB993A6864275B)) #endif #endif #ifndef mpn_divexact_by255 #if GMP_NUMB_BITS % 8 == 0 #define mpn_divexact_by255(dst,src,size) \ (255 & 1 * mpn_bdiv_dbm1 (dst, src, size, __GMP_CAST (mp_limb_t, GMP_NUMB_MASK / 255))) #else #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 #define mpn_divexact_by255(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(255),BINVERT_255,0) #else #define mpn_divexact_by255(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(255)) #endif #endif #endif #ifndef mpn_divexact_by255x4 #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 #define mpn_divexact_by255x4(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(255),BINVERT_255,2) #else #define mpn_divexact_by255x4(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(255)<<2) #endif #endif #ifndef mpn_divexact_by9x16 #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 #define mpn_divexact_by9x16(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(9),BINVERT_9,4) #else #define mpn_divexact_by9x16(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(9)<<4) #endif #endif #ifndef mpn_divexact_by42525x16 #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_42525) #define mpn_divexact_by42525x16(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(42525),BINVERT_42525,4) #else #define mpn_divexact_by42525x16(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(42525)<<4) #endif #endif #ifndef mpn_divexact_by2835x64 #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_2835) #define mpn_divexact_by2835x64(dst,src,size) mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(2835),BINVERT_2835,6) #else #define mpn_divexact_by2835x64(dst,src,size) mpn_divexact_1(dst,src,size,CNST_LIMB(2835)<<6) #endif #endif #ifndef mpn_divexact_by255x182712915 #if GMP_NUMB_BITS < 36 #if HAVE_NATIVE_mpn_bdiv_q_2_pi2 && defined(BINVERT_255x182712915H) /* FIXME: use mpn_bdiv_q_2_pi2 */ #endif #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_182712915) #define mpn_divexact_by255x182712915(dst,src,size) \ do { \ mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(182712915),BINVERT_182712915,0); \ mpn_divexact_by255(dst,dst,size); \ } while(0) #else #define mpn_divexact_by255x182712915(dst,src,size) \ do { \ mpn_divexact_1(dst,src,size,CNST_LIMB(182712915)); \ mpn_divexact_by255(dst,dst,size); \ } while(0) #endif #else /* GMP_NUMB_BITS > 35 */ #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_255x182712915) #define mpn_divexact_by255x182712915(dst,src,size) \ mpn_pi1_bdiv_q_1(dst,src,size,255*CNST_LIMB(182712915),BINVERT_255x182712915,0) #else #define mpn_divexact_by255x182712915(dst,src,size) mpn_divexact_1(dst,src,size,255*CNST_LIMB(182712915)) #endif #endif /* GMP_NUMB_BITS >?< 36 */ #endif #ifndef mpn_divexact_by255x188513325 #if GMP_NUMB_BITS < 36 #if HAVE_NATIVE_mpn_bdiv_q_1_pi2 && defined(BINVERT_255x188513325H) /* FIXME: use mpn_bdiv_q_1_pi2 */ #endif #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_188513325) #define mpn_divexact_by255x188513325(dst,src,size) \ do { \ mpn_pi1_bdiv_q_1(dst,src,size,CNST_LIMB(188513325),BINVERT_188513325,0); \ mpn_divexact_by255(dst,dst,size); \ } while(0) #else #define mpn_divexact_by255x188513325(dst,src,size) \ do { \ mpn_divexact_1(dst,src,size,CNST_LIMB(188513325)); \ mpn_divexact_by255(dst,dst,size); \ } while(0) #endif #else /* GMP_NUMB_BITS > 35 */ #if HAVE_NATIVE_mpn_pi1_bdiv_q_1 && defined(BINVERT_255x188513325) #define mpn_divexact_by255x188513325(dst,src,size) \ mpn_pi1_bdiv_q_1(dst,src,size,255*CNST_LIMB(188513325),BINVERT_255x188513325,0) #else #define mpn_divexact_by255x188513325(dst,src,size) mpn_divexact_1(dst,src,size,255*CNST_LIMB(188513325)) #endif #endif /* GMP_NUMB_BITS >?< 36 */ #endif /* Interpolation for Toom-8.5 (or Toom-8), using the evaluation points: infinity(8.5 only), +-8, +-4, +-2, +-1, +-1/4, +-1/2, +-1/8, 0. More precisely, we want to compute f(2^(GMP_NUMB_BITS * n)) for a polynomial f of degree 15 (or 14), given the 16 (rsp. 15) values: r0 = limit at infinity of f(x) / x^7, r1 = f(8),f(-8), r2 = f(4),f(-4), r3 = f(2),f(-2), r4 = f(1),f(-1), r5 = f(1/4),f(-1/4), r6 = f(1/2),f(-1/2), r7 = f(1/8),f(-1/8), r8 = f(0). All couples of the form f(n),f(-n) must be already mixed with toom_couple_handling(f(n),...,f(-n),...) The result is stored in {pp, spt + 7*n (or 8*n)}. At entry, r8 is stored at {pp, 2n}, r6 is stored at {pp + 3n, 3n + 1}. r4 is stored at {pp + 7n, 3n + 1}. r2 is stored at {pp +11n, 3n + 1}. r0 is stored at {pp +15n, spt}. The other values are 3n+1 limbs each (with most significant limbs small). Negative intermediate results are stored two-complemented. Inputs are destroyed. */ void mpn_toom_interpolate_16pts (mp_ptr pp, mp_ptr r1, mp_ptr r3, mp_ptr r5, mp_ptr r7, mp_size_t n, mp_size_t spt, int half, mp_ptr wsi) { mp_limb_t cy; mp_size_t n3; mp_size_t n3p1; n3 = 3 * n; n3p1 = n3 + 1; #define r6 (pp + n3) /* 3n+1 */ #define r4 (pp + 7 * n) /* 3n+1 */ #define r2 (pp +11 * n) /* 3n+1 */ #define r0 (pp +15 * n) /* s+t <= 2*n */ ASSERT( spt <= 2 * n ); /******************************* interpolation *****************************/ if( half != 0) { cy = mpn_sub_n (r4, r4, r0, spt); MPN_DECR_U (r4 + spt, n3p1 - spt, cy); cy = DO_mpn_sublsh_n (r3, r0, spt, 14, wsi); MPN_DECR_U (r3 + spt, n3p1 - spt, cy); DO_mpn_subrsh(r6, n3p1, r0, spt, 2, wsi); cy = DO_mpn_sublsh_n (r2, r0, spt, 28, wsi); MPN_DECR_U (r2 + spt, n3p1 - spt, cy); DO_mpn_subrsh(r5, n3p1, r0, spt, 4, wsi); cy = DO_mpn_sublsh_n (r1 + BIT_CORRECTION, r0, spt, 42 - CORRECTION_BITS, wsi); MPN_DECR_U (r1 + spt + BIT_CORRECTION, n3p1 - spt - BIT_CORRECTION, cy); #if BIT_CORRECTION /* FIXME: assumes r7[n3p1] is writable (it is if r5 follows). */ cy = r7[n3p1]; r7[n3p1] = 0x80; #endif DO_mpn_subrsh(r7, n3p1 + BIT_CORRECTION, r0, spt, 6, wsi); #if BIT_CORRECTION /* FIXME: assumes r7[n3p1] is writable. */ ASSERT ( BIT_CORRECTION > 0 || r7[n3p1] == 0x80 ); r7[n3p1] = cy; #endif }; r5[n3] -= DO_mpn_sublsh_n (r5 + n, pp, 2 * n, 28, wsi); DO_mpn_subrsh(r2 + n, 2 * n + 1, pp, 2 * n, 4, wsi); #if HAVE_NATIVE_mpn_add_n_sub_n mpn_add_n_sub_n (r2, r5, r5, r2, n3p1); #else mpn_sub_n (wsi, r5, r2, n3p1); /* can be negative */ ASSERT_NOCARRY(mpn_add_n (r2, r2, r5, n3p1)); MP_PTR_SWAP(r5, wsi); #endif r6[n3] -= DO_mpn_sublsh_n (r6 + n, pp, 2 * n, 14, wsi); DO_mpn_subrsh(r3 + n, 2 * n + 1, pp, 2 * n, 2, wsi); #if HAVE_NATIVE_mpn_add_n_sub_n mpn_add_n_sub_n (r3, r6, r6, r3, n3p1); #else ASSERT_NOCARRY(mpn_add_n (wsi, r3, r6, n3p1)); mpn_sub_n (r6, r6, r3, n3p1); /* can be negative */ MP_PTR_SWAP(r3, wsi); #endif r7[n3] -= DO_mpn_sublsh_n (r7 + n + BIT_CORRECTION, pp, 2 * n, 42 - CORRECTION_BITS, wsi) * (1-BIT_CORRECTION); /* if BIT_CORRECTION != 0, discard the carry. */ #if BIT_CORRECTION MPN_DECR_U (r1 + n, 2 * n + 1, pp[0] >> 6); cy = DO_mpn_sublsh_n (r1 + n, pp + 1, 2 * n - 1, GMP_NUMB_BITS - 6, wsi); cy = mpn_sub_1(r1 + 3 * n - 1, r1 + 3 * n - 1, 2, cy); ASSERT ( BIT_CORRECTION > 0 || cy != 0 ); #else DO_mpn_subrsh(r1 + n, 2 * n + 1, pp, 2 * n, 6, wsi); #endif #if HAVE_NATIVE_mpn_add_n_sub_n mpn_add_n_sub_n (r1, r7, r7, r1, n3p1); #else mpn_sub_n (wsi, r7, r1, n3p1); /* can be negative */ mpn_add_n (r1, r1, r7, n3p1); /* if BIT_CORRECTION != 0, can give a carry. */ MP_PTR_SWAP(r7, wsi); #endif r4[n3] -= mpn_sub_n (r4+n, r4+n, pp, 2 * n); #if AORSMUL_FASTER_2AORSLSH mpn_submul_1 (r5, r6, n3p1, 1028); /* can be negative */ #else DO_mpn_sublsh_n (r5, r6, n3p1, 2, wsi); /* can be negative */ DO_mpn_sublsh_n (r5, r6, n3p1,10, wsi); /* can be negative */ #endif mpn_submul_1 (r7, r5, n3p1, 1300); /* can be negative */ #if AORSMUL_FASTER_3AORSLSH mpn_submul_1 (r7, r6, n3p1, 1052688); /* can be negative */ #else DO_mpn_sublsh_n (r7, r6, n3p1, 4, wsi); /* can be negative */ DO_mpn_sublsh_n (r7, r6, n3p1,12, wsi); /* can be negative */ DO_mpn_sublsh_n (r7, r6, n3p1,20, wsi); /* can be negative */ #endif mpn_divexact_by255x188513325(r7, r7, n3p1); mpn_submul_1 (r5, r7, n3p1, 12567555); /* can be negative */ /* A division by 2835x64 followsi. Warning: the operand can be negative! */ mpn_divexact_by2835x64(r5, r5, n3p1); if ((r5[n3] & (GMP_NUMB_MAX << (GMP_NUMB_BITS-7))) != 0) r5[n3] |= (GMP_NUMB_MAX << (GMP_NUMB_BITS-6)); #if AORSMUL_FASTER_AORS_AORSLSH mpn_submul_1 (r6, r7, n3p1, 4095); /* can be negative */ #else mpn_add_n (r6, r6, r7, n3p1); /* can give a carry */ DO_mpn_sublsh_n (r6, r7, n3p1, 12, wsi); /* can be negative */ #endif #if AORSMUL_FASTER_2AORSLSH mpn_addmul_1 (r6, r5, n3p1, 240); /* can be negative */ #else DO_mpn_addlsh_n (r6, r5, n3p1, 8, wsi); /* can give a carry */ DO_mpn_sublsh_n (r6, r5, n3p1, 4, wsi); /* can be negative */ #endif /* A division by 255x4 followsi. Warning: the operand can be negative! */ mpn_divexact_by255x4(r6, r6, n3p1); if ((r6[n3] & (GMP_NUMB_MAX << (GMP_NUMB_BITS-3))) != 0) r6[n3] |= (GMP_NUMB_MAX << (GMP_NUMB_BITS-2)); ASSERT_NOCARRY(DO_mpn_sublsh_n (r3, r4, n3p1, 7, wsi)); ASSERT_NOCARRY(DO_mpn_sublsh_n (r2, r4, n3p1, 13, wsi)); ASSERT_NOCARRY(mpn_submul_1 (r2, r3, n3p1, 400)); /* If GMP_NUMB_BITS < 42 next operations on r1 can give a carry!*/ DO_mpn_sublsh_n (r1, r4, n3p1, 19, wsi); mpn_submul_1 (r1, r2, n3p1, 1428); mpn_submul_1 (r1, r3, n3p1, 112896); mpn_divexact_by255x182712915(r1, r1, n3p1); ASSERT_NOCARRY(mpn_submul_1 (r2, r1, n3p1, 15181425)); mpn_divexact_by42525x16(r2, r2, n3p1); #if AORSMUL_FASTER_AORS_2AORSLSH ASSERT_NOCARRY(mpn_submul_1 (r3, r1, n3p1, 3969)); #else ASSERT_NOCARRY(mpn_sub_n (r3, r3, r1, n3p1)); ASSERT_NOCARRY(DO_mpn_addlsh_n (r3, r1, n3p1, 7, wsi)); ASSERT_NOCARRY(DO_mpn_sublsh_n (r3, r1, n3p1, 12, wsi)); #endif ASSERT_NOCARRY(mpn_submul_1 (r3, r2, n3p1, 900)); mpn_divexact_by9x16(r3, r3, n3p1); ASSERT_NOCARRY(mpn_sub_n (r4, r4, r1, n3p1)); ASSERT_NOCARRY(mpn_sub_n (r4, r4, r3, n3p1)); ASSERT_NOCARRY(mpn_sub_n (r4, r4, r2, n3p1)); mpn_add_n (r6, r2, r6, n3p1); ASSERT_NOCARRY(mpn_rshift(r6, r6, n3p1, 1)); ASSERT_NOCARRY(mpn_sub_n (r2, r2, r6, n3p1)); mpn_sub_n (r5, r3, r5, n3p1); ASSERT_NOCARRY(mpn_rshift(r5, r5, n3p1, 1)); ASSERT_NOCARRY(mpn_sub_n (r3, r3, r5, n3p1)); mpn_add_n (r7, r1, r7, n3p1); ASSERT_NOCARRY(mpn_rshift(r7, r7, n3p1, 1)); ASSERT_NOCARRY(mpn_sub_n (r1, r1, r7, n3p1)); /* last interpolation steps... */ /* ... could be mixed with recomposition ||H-r7|M-r7|L-r7| ||H-r5|M-r5|L-r5| */ /***************************** recomposition *******************************/ /* pp[] prior to operations: |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 summation scheme for remaining operations: |__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 |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 ||H r1|M r1|L r1| ||H r3|M r3|L r3| ||H_r5|M_r5|L_r5| ||H r7|M r7|L r7| */ cy = mpn_add_n (pp + n, pp + n, r7, n); cy = mpn_add_1 (pp + 2 * n, r7 + n, n, cy); #if HAVE_NATIVE_mpn_add_nc cy = r7[n3] + mpn_add_nc(pp + n3, pp + n3, r7 + 2 * n, n, cy); #else MPN_INCR_U (r7 + 2 * n, n + 1, cy); cy = r7[n3] + mpn_add_n (pp + n3, pp + n3, r7 + 2 * n, n); #endif MPN_INCR_U (pp + 4 * n, 2 * n + 1, cy); pp[2 * n3]+= mpn_add_n (pp + 5 * n, pp + 5 * n, r5, n); cy = mpn_add_1 (pp + 2 * n3, r5 + n, n, pp[2 * n3]); #if HAVE_NATIVE_mpn_add_nc cy = r5[n3] + mpn_add_nc(pp + 7 * n, pp + 7 * n, r5 + 2 * n, n, cy); #else MPN_INCR_U (r5 + 2 * n, n + 1, cy); cy = r5[n3] + mpn_add_n (pp + 7 * n, pp + 7 * n, r5 + 2 * n, n); #endif MPN_INCR_U (pp + 8 * n, 2 * n + 1, cy); pp[10 * n]+= mpn_add_n (pp + 9 * n, pp + 9 * n, r3, n); cy = mpn_add_1 (pp + 10 * n, r3 + n, n, pp[10 * n]); #if HAVE_NATIVE_mpn_add_nc cy = r3[n3] + mpn_add_nc(pp +11 * n, pp +11 * n, r3 + 2 * n, n, cy); #else MPN_INCR_U (r3 + 2 * n, n + 1, cy); cy = r3[n3] + mpn_add_n (pp +11 * n, pp +11 * n, r3 + 2 * n, n); #endif MPN_INCR_U (pp +12 * n, 2 * n + 1, cy); pp[14 * n]+=mpn_add_n (pp +13 * n, pp +13 * n, r1, n); if ( half ) { cy = mpn_add_1 (pp + 14 * n, r1 + n, n, pp[14 * n]); #if HAVE_NATIVE_mpn_add_nc if(LIKELY(spt > n)) { cy = r1[n3] + mpn_add_nc(pp + 15 * n, pp + 15 * n, r1 + 2 * n, n, cy); MPN_INCR_U (pp + 16 * n, spt - n, cy); } else { ASSERT_NOCARRY(mpn_add_nc(pp + 15 * n, pp + 15 * n, r1 + 2 * n, spt, cy)); } #else MPN_INCR_U (r1 + 2 * n, n + 1, cy); if(LIKELY(spt > n)) { cy = r1[n3] + mpn_add_n (pp + 15 * n, pp + 15 * n, r1 + 2 * n, n); MPN_INCR_U (pp + 16 * n, spt - n, cy); } else { ASSERT_NOCARRY(mpn_add_n (pp + 15 * n, pp + 15 * n, r1 + 2 * n, spt)); } #endif } else { ASSERT_NOCARRY(mpn_add_1 (pp + 14 * n, r1 + n, spt, pp[14 * n])); } #undef r0 #undef r2 #undef r4 #undef r6 }