/* mpfr_add1sp1 -- internal function to perform a "real" addition on one limb This code was extracted by Kremlin from a formal proof in F* done by Jianyang Pan in April-August 2018: do not modify it! Source: https://github.com/project-everest/hacl-star/tree/dev_mpfr/code/mpfr Copyright 2004-2023 Free Software Foundation, Inc. Contributed by the AriC and Caramba projects, INRIA. This file is part of the GNU MPFR Library. The GNU 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 3 of the License, or (at your option) any later version. The GNU 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 GNU MPFR Library; see the file COPYING.LESSER. If not, see https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #define int64_t long #define uint32_t unsigned int #define uint64_t mp_limb_t typedef struct MPFR_Add1sp1_state_s { int64_t sh; int64_t bx; uint64_t rb; uint64_t sb; } MPFR_Add1sp1_state; static MPFR_Add1sp1_state MPFR_Add1sp1_mk_state(int64_t sh, int64_t bx, uint64_t rb, uint64_t sb) { return ((MPFR_Add1sp1_state){ .sh = sh, .bx = bx, .rb = rb, .sb = sb }); } typedef struct K___uint64_t_int64_t_s { uint64_t fst; int64_t snd; } K___uint64_t_int64_t; typedef struct K___uint64_t_uint64_t_int64_t_s { uint64_t fst; uint64_t snd; int64_t thd; } K___uint64_t_uint64_t_int64_t; #define MPFR_Lib_mpfr_struct __mpfr_struct #define MPFR_Lib_mpfr_RET(I) ((I) != 0 ? ((__gmpfr_flags |= MPFR_FLAGS_INEXACT), (I)) : 0) #define MPFR_Exceptions_mpfr_overflow mpfr_overflow #define mpfr_prec _mpfr_prec #define mpfr_exp _mpfr_exp #define mpfr_d _mpfr_d #define mpfr_sign _mpfr_sign #define MPFR_Lib_gmp_NUMB_BITS GMP_NUMB_BITS #define MPFR_Lib_mpfr_EMAX __gmpfr_emax #define MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode) (rnd_mode == MPFR_RNDN) #define MPFR_RoundingMode_mpfr_IS_LIKE_RNDZ MPFR_IS_LIKE_RNDZ /* same as mpfr_add1sp, but for p < GMP_NUMB_BITS */ static int mpfr_add1sp1 (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode, mpfr_prec_t p) { MPFR_Lib_mpfr_struct a0 = a[0U]; MPFR_Lib_mpfr_struct b0 = b[0U]; MPFR_Lib_mpfr_struct c0 = c[0U]; int64_t bx = b0.mpfr_exp; int64_t cx = c0.mpfr_exp; int64_t sh = MPFR_Lib_gmp_NUMB_BITS - p; MPFR_Add1sp1_state st; if (bx == cx) { uint64_t *ap = a0.mpfr_d; uint64_t *bp = b0.mpfr_d; uint64_t *cp = c0.mpfr_d; uint64_t a01 = (bp[0U] >> (uint32_t)1U) + (cp[0U] >> (uint32_t)1U); int64_t bx1 = b0.mpfr_exp + (int64_t)1; uint64_t rb = a01 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1); ap[0U] = a01 ^ rb; uint64_t sb = (uint64_t)0U; st = MPFR_Add1sp1_mk_state(sh, bx1, rb, sb); } else { MPFR_Add1sp1_state ite0; if (bx > cx) { int64_t bx1 = b0.mpfr_exp; int64_t cx1 = c0.mpfr_exp; int64_t d = bx1 - cx1; uint64_t mask = ((uint64_t)1U << (uint32_t)sh) - (uint64_t)1U; MPFR_Add1sp1_state ite1; if (d < sh) { uint64_t *ap = a0.mpfr_d; uint64_t *bp = b0.mpfr_d; uint64_t *cp = c0.mpfr_d; int64_t bx2 = b0.mpfr_exp; uint64_t a01 = bp[0U] + (cp[0U] >> (uint32_t)d); K___uint64_t_int64_t scrut; if (a01 < bp[0U]) scrut = ( (K___uint64_t_int64_t){ .fst = (uint64_t)0x8000000000000000U | a01 >> (uint32_t)1U, .snd = bx2 + (int64_t)1 } ); else scrut = ((K___uint64_t_int64_t){ .fst = a01, .snd = bx2 }); uint64_t a02 = scrut.fst; int64_t bx3 = scrut.snd; uint64_t rb = a02 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1); uint64_t sb = (a02 & mask) ^ rb; ap[0U] = a02 & ~mask; ite1 = MPFR_Add1sp1_mk_state(sh, bx3, rb, sb); } else { MPFR_Add1sp1_state ite; if (d < MPFR_Lib_gmp_NUMB_BITS) { uint64_t *ap = a0.mpfr_d; uint64_t *bp = b0.mpfr_d; uint64_t *cp = c0.mpfr_d; int64_t bx2 = b0.mpfr_exp; uint64_t sb = cp[0U] << (uint32_t)(MPFR_Lib_gmp_NUMB_BITS - d); uint64_t a01 = bp[0U] + (cp[0U] >> (uint32_t)d); K___uint64_t_uint64_t_int64_t scrut; if (a01 < bp[0U]) scrut = ( (K___uint64_t_uint64_t_int64_t){ .fst = sb | (a01 & (uint64_t)1U), .snd = (uint64_t)0x8000000000000000U | a01 >> (uint32_t)1U, .thd = bx2 + (int64_t)1 } ); else scrut = ((K___uint64_t_uint64_t_int64_t){ .fst = sb, .snd = a01, .thd = bx2 }); uint64_t sb1 = scrut.fst; uint64_t a02 = scrut.snd; int64_t bx3 = scrut.thd; uint64_t rb = a02 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1); uint64_t sb2 = sb1 | ((a02 & mask) ^ rb); ap[0U] = a02 & ~mask; ite = MPFR_Add1sp1_mk_state(sh, bx3, rb, sb2); } else { uint64_t *ap = a0.mpfr_d; uint64_t *bp = b0.mpfr_d; int64_t bx2 = b0.mpfr_exp; ap[0U] = bp[0U]; uint64_t rb = (uint64_t)0U; uint64_t sb = (uint64_t)1U; ite = MPFR_Add1sp1_mk_state(sh, bx2, rb, sb); } ite1 = ite; } ite0 = ite1; } else { int64_t bx1 = c0.mpfr_exp; int64_t cx1 = b0.mpfr_exp; int64_t d = bx1 - cx1; uint64_t mask = ((uint64_t)1U << (uint32_t)sh) - (uint64_t)1U; MPFR_Add1sp1_state ite1; if (d < sh) { uint64_t *ap = a0.mpfr_d; uint64_t *bp = c0.mpfr_d; uint64_t *cp = b0.mpfr_d; int64_t bx2 = c0.mpfr_exp; uint64_t a01 = bp[0U] + (cp[0U] >> (uint32_t)d); K___uint64_t_int64_t scrut; if (a01 < bp[0U]) scrut = ( (K___uint64_t_int64_t){ .fst = (uint64_t)0x8000000000000000U | a01 >> (uint32_t)1U, .snd = bx2 + (int64_t)1 } ); else scrut = ((K___uint64_t_int64_t){ .fst = a01, .snd = bx2 }); uint64_t a02 = scrut.fst; int64_t bx3 = scrut.snd; uint64_t rb = a02 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1); uint64_t sb = (a02 & mask) ^ rb; ap[0U] = a02 & ~mask; ite1 = MPFR_Add1sp1_mk_state(sh, bx3, rb, sb); } else { MPFR_Add1sp1_state ite; if (d < MPFR_Lib_gmp_NUMB_BITS) { uint64_t *ap = a0.mpfr_d; uint64_t *bp = c0.mpfr_d; uint64_t *cp = b0.mpfr_d; int64_t bx2 = c0.mpfr_exp; uint64_t sb = cp[0U] << (uint32_t)(MPFR_Lib_gmp_NUMB_BITS - d); uint64_t a01 = bp[0U] + (cp[0U] >> (uint32_t)d); K___uint64_t_uint64_t_int64_t scrut; if (a01 < bp[0U]) scrut = ( (K___uint64_t_uint64_t_int64_t){ .fst = sb | (a01 & (uint64_t)1U), .snd = (uint64_t)0x8000000000000000U | a01 >> (uint32_t)1U, .thd = bx2 + (int64_t)1 } ); else scrut = ((K___uint64_t_uint64_t_int64_t){ .fst = sb, .snd = a01, .thd = bx2 }); uint64_t sb1 = scrut.fst; uint64_t a02 = scrut.snd; int64_t bx3 = scrut.thd; uint64_t rb = a02 & (uint64_t)1U << (uint32_t)(sh - (int64_t)1); uint64_t sb2 = sb1 | ((a02 & mask) ^ rb); ap[0U] = a02 & ~mask; ite = MPFR_Add1sp1_mk_state(sh, bx3, rb, sb2); } else { uint64_t *ap = a0.mpfr_d; uint64_t *bp = c0.mpfr_d; int64_t bx2 = c0.mpfr_exp; ap[0U] = bp[0U]; uint64_t rb = (uint64_t)0U; uint64_t sb = (uint64_t)1U; ite = MPFR_Add1sp1_mk_state(sh, bx2, rb, sb); } ite1 = ite; } ite0 = ite1; } st = ite0; } if (st.bx > MPFR_Lib_mpfr_EMAX) { int32_t t = MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign); return t; } else { uint64_t *ap = a->mpfr_d; uint64_t a01 = ap[0U]; MPFR_Lib_mpfr_struct uu___72_3478 = a[0U]; a[0U] = ( (MPFR_Lib_mpfr_struct){ .mpfr_prec = uu___72_3478.mpfr_prec, .mpfr_sign = uu___72_3478.mpfr_sign, .mpfr_exp = st.bx, .mpfr_d = uu___72_3478.mpfr_d } ); if (st.rb == (uint64_t)0U && st.sb == (uint64_t)0U) return MPFR_Lib_mpfr_RET((int32_t)0); else if (MPFR_RoundingMode_uu___is_MPFR_RNDN(rnd_mode)) if ( st.rb == (uint64_t)0U || (st.sb == (uint64_t)0U && (a01 & (uint64_t)1U << (uint32_t)st.sh) == (uint64_t)0U) ) { int32_t ite; if (a->mpfr_sign == (int32_t)1) ite = (int32_t)-1; else ite = (int32_t)1; return MPFR_Lib_mpfr_RET(ite); } else { uint64_t *ap1 = a->mpfr_d; ap1[0U] = ap1[0U] + ((uint64_t)1U << (uint32_t)st.sh); if (ap1[0U] == (uint64_t)0U) { ap1[0U] = (uint64_t)0x8000000000000000U; if (st.bx + (int64_t)1 <= MPFR_Lib_mpfr_EMAX) { MPFR_Lib_mpfr_struct uu___72_3574 = a[0U]; a[0U] = ( (MPFR_Lib_mpfr_struct){ .mpfr_prec = uu___72_3574.mpfr_prec, .mpfr_sign = uu___72_3574.mpfr_sign, .mpfr_exp = st.bx + (int64_t)1, .mpfr_d = uu___72_3574.mpfr_d } ); return MPFR_Lib_mpfr_RET(a->mpfr_sign); } else { int32_t t = MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign); return MPFR_Lib_mpfr_RET(t); } } else return MPFR_Lib_mpfr_RET(a->mpfr_sign); } else if (MPFR_RoundingMode_mpfr_IS_LIKE_RNDZ(rnd_mode, a->mpfr_sign < (int32_t)0)) { int32_t ite; if (a->mpfr_sign == (int32_t)1) ite = (int32_t)-1; else ite = (int32_t)1; return MPFR_Lib_mpfr_RET(ite); } else { uint64_t *ap1 = a->mpfr_d; ap1[0U] = ap1[0U] + ((uint64_t)1U << (uint32_t)st.sh); if (ap1[0U] == (uint64_t)0U) { ap1[0U] = (uint64_t)0x8000000000000000U; if (st.bx + (int64_t)1 <= MPFR_Lib_mpfr_EMAX) { MPFR_Lib_mpfr_struct uu___72_3781 = a[0U]; a[0U] = ( (MPFR_Lib_mpfr_struct){ .mpfr_prec = uu___72_3781.mpfr_prec, .mpfr_sign = uu___72_3781.mpfr_sign, .mpfr_exp = st.bx + (int64_t)1, .mpfr_d = uu___72_3781.mpfr_d } ); return MPFR_Lib_mpfr_RET(a->mpfr_sign); } else { int32_t t = MPFR_Exceptions_mpfr_overflow(a, rnd_mode, a->mpfr_sign); return MPFR_Lib_mpfr_RET(t); } } else return MPFR_Lib_mpfr_RET(a->mpfr_sign); } } }