X-Git-Url: https://oss.titaniummirror.com/gitweb/?a=blobdiff_plain;f=gmp%2Fmpn%2Fgeneric%2Ftoom_interpolate_5pts.c;fp=gmp%2Fmpn%2Fgeneric%2Ftoom_interpolate_5pts.c;h=67260cc3d590e0ac51cfbffefd92448f302b92e5;hb=6fed43773c9b0ce596dca5686f37ac3fc0fa11c0;hp=0000000000000000000000000000000000000000;hpb=27b11d56b743098deb193d510b337ba22dc52e5c;p=msp430-gcc.git diff --git a/gmp/mpn/generic/toom_interpolate_5pts.c b/gmp/mpn/generic/toom_interpolate_5pts.c new file mode 100644 index 00000000..67260cc3 --- /dev/null +++ b/gmp/mpn/generic/toom_interpolate_5pts.c @@ -0,0 +1,170 @@ +/* mpn_toom_interpolate_5pts -- Interpolate for toom3, 33, 42. + + Contributed to the GNU project by Robert Harley. + Improvements by Paul Zimmermann and 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 2000, 2001, 2002, 2003, 2005, 2006, 2007 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 "gmp.h" +#include "gmp-impl.h" + +void +mpn_toom_interpolate_5pts (mp_ptr c, mp_ptr v2, mp_ptr vm1, + mp_size_t k, mp_size_t twor, int sa, + mp_limb_t vinf0, mp_ptr ws) +{ + mp_limb_t cy, saved; + mp_size_t twok = k + k; + mp_size_t kk1 = twok + 1; + mp_ptr c1, v1, c3, vinf, c5; + mp_limb_t cout; /* final carry, should be zero at the end */ + + c1 = c + k; + v1 = c1 + k; + c3 = v1 + k; + vinf = c3 + k; + c5 = vinf + k; + +#define v0 (c) + /* (1) v2 <- v2-vm1 < v2+|vm1|, (16 8 4 2 1) - (1 -1 1 -1 1) = + thus 0 <= v2 < 50*B^(2k) < 2^6*B^(2k) (15 9 3 3 0) + */ + if (sa <= 0) + mpn_add_n (v2, v2, vm1, kk1); + else + mpn_sub_n (v2, v2, vm1, kk1); + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1 hi(vinf) |vm1| v2-vm1 EMPTY */ + + ASSERT_NOCARRY (mpn_divexact_by3 (v2, v2, kk1)); /* v2 <- v2 / 3 */ + /* (5 3 1 1 0)*/ + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1 hi(vinf) |vm1| (v2-vm1)/3 EMPTY */ + + /* (2) vm1 <- tm1 := (v1 - sa*vm1) / 2 [(1 1 1 1 1) - (1 -1 1 -1 1)] / 2 = + tm1 >= 0 (0 1 0 1 0) + No carry comes out from {v1, kk1} +/- {vm1, kk1}, + and the division by two is exact */ + if (sa <= 0) + { +#ifdef HAVE_NATIVE_mpn_rsh1add_n + mpn_rsh1add_n (vm1, v1, vm1, kk1); +#else + mpn_add_n (vm1, v1, vm1, kk1); + mpn_rshift (vm1, vm1, kk1, 1); +#endif + } + else + { +#ifdef HAVE_NATIVE_mpn_rsh1sub_n + mpn_rsh1sub_n (vm1, v1, vm1, kk1); +#else + mpn_sub_n (vm1, v1, vm1, kk1); + mpn_rshift (vm1, vm1, kk1, 1); +#endif + } + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1 hi(vinf) tm1 (v2-vm1)/3 EMPTY */ + + /* (3) v1 <- t1 := v1 - v0 (1 1 1 1 1) - (0 0 0 0 1) = (1 1 1 1 0) + t1 >= 0 + */ + vinf[0] -= mpn_sub_n (v1, v1, c, twok); + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1-v0 hi(vinf) tm1 (v2-vm1)/3 EMPTY */ + + /* (4) v2 <- t2 := ((v2-vm1)/3-t1)/2 = (v2-vm1-3*t1)/6 + t2 >= 0 [(5 3 1 1 0) - (1 1 1 1 0)]/2 = (2 1 0 0 0) + */ +#ifdef HAVE_NATIVE_mpn_rsh1sub_n + mpn_rsh1sub_n (v2, v2, v1, kk1); +#else + mpn_sub_n (v2, v2, v1, kk1); + mpn_rshift (v2, v2, kk1, 1); +#endif + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1-v0 hi(vinf) tm1 (v2-vm1-3t1)/6 EMPTY */ + + /* (5) v1 <- t1-tm1 (1 1 1 1 0) - (0 1 0 1 0) = (1 0 1 0 0) + result is v1 >= 0 + */ + mpn_sub_n (v1, v1, vm1, kk1); + + /* {c,2k} {c+2k,2k+1} {c+4k+1,2r-1} {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 v1-v0-tm1 hi(vinf) tm1 (v2-vm1-3t1)/6 EMPTY */ + + /* (6) v2 <- v2 - 2*vinf, (2 1 0 0 0) - 2*(1 0 0 0 0) = (0 1 0 0 0) + result is v2 >= 0 */ + saved = vinf[0]; /* Remember v1's highest byte (will be overwritten). */ + vinf[0] = vinf0; /* Set the right value for vinf0 */ +#ifdef HAVE_NATIVE_mpn_sublsh1_n + cy = mpn_sublsh1_n (v2, v2, vinf, twor); +#else + cy = mpn_lshift (ws, vinf, twor, 1); + cy += mpn_sub_n (v2, v2, ws, twor); +#endif + MPN_DECR_U (v2 + twor, kk1 - twor, cy); + + /* (7) v1 <- v1 - vinf, (1 0 1 0 0) - (1 0 0 0 0) = (0 0 1 0 0) + result is >= 0 */ + cy = mpn_sub_n (v1, v1, vinf, twor); /* vinf is at most twor long. */ + vinf[0] = saved; + MPN_DECR_U (v1 + twor, kk1 - twor, cy); /* Treat the last bytes. */ + __GMPN_ADD_1 (cout, vinf, vinf, twor, vinf0); /* Add vinf0, propagate carry. */ + + /* (8) vm1 <- vm1-t2 (0 1 0 1 0) - (0 1 0 0 0) = (0 0 0 1 0) + vm1 >= 0 + */ + mpn_sub_n (vm1, vm1, v2, kk1); /* No overlapping here. */ + + /********************* Beginning the final phase **********************/ + + /* {c,2k} {c+2k,2k } {c+4k ,2r } {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 t1 hi(t1)+vinf tm1 (v2-vm1-3t1)/6 EMPTY */ + + /* (9) add t2 in {c+3k, ...} */ + cy = mpn_add_n (c3, c3, v2, kk1); + __GMPN_ADD_1 (cout, c5 + 1, c5 + 1, twor - k - 1, cy); /* 2n-(5k+1) = 2r-k-1 */ + + /* {c,2k} {c+2k,2k } {c+4k ,2r } {t,2k+1} {t+2k+1,2k+1} {t+4k+2,2r} + v0 t1 hi(t1)+vinf tm1 (v2-vm1-3t1)/6 EMPTY */ + /* c c+k c+2k c+3k c+4k t t+2k+1 t+4k+2 + v0 t1 vinf tm1 t2 + +t2 */ + + /* add vm1 in {c+k, ...} */ + cy = mpn_add_n (c1, c1, vm1, kk1); + __GMPN_ADD_1 (cout, c3 + 1, c3 + 1, twor + k - 1, cy); /* 2n-(3k+1) = 2r+k-1 */ + + /* c c+k c+2k c+3k c+4k t t+2k+1 t+4k+2 + v0 t1 vinf tm1 t2 + +tm1 +t2 */ + +#undef v0 +#undef t2 +}