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92 lines
2.9 KiB
C
92 lines
2.9 KiB
C
/* mpfr_fmma, mpfr_fmms -- Compute a*b +/- c*d
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Copyright 2014-2025 Free Software Foundation, Inc.
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Contributed by the Pascaline and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR 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 Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER.
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If not, see <https://www.gnu.org/licenses/>. */
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#include "mpfr-impl.h"
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/* compute a*b+c*d if neg=0 (fmma), a*b-c*d otherwise (fmms) */
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static int
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mpfr_fmma_aux (mpfr_ptr z, mpfr_srcptr a, mpfr_srcptr b, mpfr_srcptr c,
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mpfr_srcptr d, mpfr_rnd_t rnd, int neg)
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{
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mpfr_ubf_t u, v;
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mpfr_t zz;
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mpfr_prec_t prec_z = MPFR_PREC(z);
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mp_size_t un, vn;
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mpfr_limb_ptr up, vp, zp;
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int inex;
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MPFR_TMP_DECL(marker);
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MPFR_LOG_FUNC
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(("a[%Pd]=%.*Rg b[%Pd]=%.*Rg c[%Pd]=%.*Rg d[%Pd]=%.*Rg rnd=%d neg=%d",
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mpfr_get_prec (a), mpfr_log_prec, a,
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mpfr_get_prec (b), mpfr_log_prec, b,
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mpfr_get_prec (c), mpfr_log_prec, c,
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mpfr_get_prec (d), mpfr_log_prec, d, rnd, neg),
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("z[%Pd]=%.*Rg inex=%d",
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mpfr_get_prec (z), mpfr_log_prec, z, inex));
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MPFR_TMP_MARK (marker);
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un = MPFR_LIMB_SIZE (a) + MPFR_LIMB_SIZE (b);
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vn = MPFR_LIMB_SIZE (c) + MPFR_LIMB_SIZE (d);
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MPFR_TMP_INIT (up, u, (mpfr_prec_t) un * GMP_NUMB_BITS, un);
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MPFR_TMP_INIT (vp, v, (mpfr_prec_t) vn * GMP_NUMB_BITS, vn);
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mpfr_ubf_mul_exact (u, a, b);
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mpfr_ubf_mul_exact (v, c, d);
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if (prec_z == MPFR_PREC(a) && prec_z == MPFR_PREC(b) &&
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prec_z == MPFR_PREC(c) && prec_z == MPFR_PREC(d) &&
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un == MPFR_PREC2LIMBS(2 * prec_z))
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{
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MPFR_TMP_INIT (zp, zz, 2 * prec_z, un);
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MPFR_PREC(u) = MPFR_PREC(v) = 2 * prec_z;
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inex = (neg == 0) ? mpfr_add (zz, (mpfr_srcptr) u, (mpfr_srcptr) v, rnd)
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: mpfr_sub (zz, (mpfr_srcptr) u, (mpfr_srcptr) v, rnd);
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inex = mpfr_set_1_2 (z, zz, rnd, inex);
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}
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else
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inex = (neg == 0) ? mpfr_add (z, (mpfr_srcptr) u, (mpfr_srcptr) v, rnd)
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: mpfr_sub (z, (mpfr_srcptr) u, (mpfr_srcptr) v, rnd);
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MPFR_UBF_CLEAR_EXP (u);
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MPFR_UBF_CLEAR_EXP (v);
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MPFR_TMP_FREE (marker);
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return inex;
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}
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/* z <- a*b + c*d */
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int
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mpfr_fmma (mpfr_ptr z, mpfr_srcptr a, mpfr_srcptr b, mpfr_srcptr c,
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mpfr_srcptr d, mpfr_rnd_t rnd)
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{
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return mpfr_fmma_aux (z, a, b, c, d, rnd, 0);
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}
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/* z <- a*b - c*d */
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int
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mpfr_fmms (mpfr_ptr z, mpfr_srcptr a, mpfr_srcptr b, mpfr_srcptr c,
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mpfr_srcptr d, mpfr_rnd_t rnd)
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{
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return mpfr_fmma_aux (z, a, b, c, d, rnd, 1);
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}
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