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- /* 64-bit multiplication and division
- Copyright (C) 1989, 1992-2026 Free Software Foundation, Inc.
- This file is part of the GNU C Library.
- The GNU C 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 2.1 of the License, or (at your option) any later version.
- The GNU C 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 C Library; if not, see
- <https://www.gnu.org/licenses/>. */
- #include <endian.h>
- #include <stdlib.h>
- #include <bits/wordsize.h>
- #include <stdbit.h>
- #if __WORDSIZE != 32
- #error This is for 32-bit targets only
- #endif
- #define Wtype SItype
- #define HWtype SItype
- #define DWtype DItype
- #define UHWtype USItype
- #define UDWtype UDItype
- #include <gmp.h>
- #include <stdlib/gmp-impl.h>
- #if __BYTE_ORDER == __BIG_ENDIAN
- struct DWstruct { Wtype high, low;};
- #elif __BYTE_ORDER == __LITTLE_ENDIAN
- struct DWstruct { Wtype low, high;};
- #else
- #error Unhandled endianity
- #endif
- typedef union { struct DWstruct s; DWtype ll; } DWunion;
- /* Prototypes of exported functions. */
- extern DWtype __divdi3 (DWtype u, DWtype v);
- extern DWtype __moddi3 (DWtype u, DWtype v);
- extern UDWtype __udivdi3 (UDWtype u, UDWtype v);
- extern UDWtype __umoddi3 (UDWtype u, UDWtype v);
- static UDWtype
- __udivmoddi4 (UDWtype n, UDWtype d, UDWtype *rp)
- {
- DWunion ww;
- DWunion nn, dd;
- DWunion rr;
- UWtype d0, d1, n0, n1, n2;
- UWtype q0, q1;
- UWtype b, bm;
- nn.ll = n;
- dd.ll = d;
- d0 = dd.s.low;
- d1 = dd.s.high;
- n0 = nn.s.low;
- n1 = nn.s.high;
- #if !UDIV_NEEDS_NORMALIZATION
- if (d1 == 0)
- {
- if (d0 > n1)
- {
- /* 0q = nn / 0D */
- udiv_qrnnd (q0, n0, n1, n0, d0);
- q1 = 0;
- /* Remainder in n0. */
- }
- else
- {
- /* qq = NN / 0d */
- if (d0 == 0)
- d0 = 1 / d0; /* Divide intentionally by zero. */
- udiv_qrnnd (q1, n1, 0, n1, d0);
- udiv_qrnnd (q0, n0, n1, n0, d0);
- /* Remainder in n0. */
- }
- if (rp != 0)
- {
- rr.s.low = n0;
- rr.s.high = 0;
- *rp = rr.ll;
- }
- }
- #else /* UDIV_NEEDS_NORMALIZATION */
- if (d1 == 0)
- {
- if (d0 > n1)
- {
- /* 0q = nn / 0D */
- bm = stdc_leading_zeros (d0);
- if (bm != 0)
- {
- /* Normalize, i.e. make the most significant bit of the
- denominator set. */
- d0 = d0 << bm;
- n1 = (n1 << bm) | (n0 >> (W_TYPE_SIZE - bm));
- n0 = n0 << bm;
- }
- udiv_qrnnd (q0, n0, n1, n0, d0);
- q1 = 0;
- /* Remainder in n0 >> bm. */
- }
- else
- {
- /* qq = NN / 0d */
- if (d0 == 0)
- d0 = 1 / d0; /* Divide intentionally by zero. */
- bm = stdc_leading_zeros (d0);
- if (bm == 0)
- {
- /* From (n1 >= d0) /\ (the most significant bit of d0 is set),
- conclude (the most significant bit of n1 is set) /\ (the
- leading quotient digit q1 = 1).
- This special case is necessary, not an optimization.
- (Shifts counts of W_TYPE_SIZE are undefined.) */
- n1 -= d0;
- q1 = 1;
- }
- else
- {
- /* Normalize. */
- b = W_TYPE_SIZE - bm;
- d0 = d0 << bm;
- n2 = n1 >> b;
- n1 = (n1 << bm) | (n0 >> b);
- n0 = n0 << bm;
- udiv_qrnnd (q1, n1, n2, n1, d0);
- }
- /* n1 != d0... */
- udiv_qrnnd (q0, n0, n1, n0, d0);
- /* Remainder in n0 >> bm. */
- }
- if (rp != 0)
- {
- rr.s.low = n0 >> bm;
- rr.s.high = 0;
- *rp = rr.ll;
- }
- }
- #endif /* UDIV_NEEDS_NORMALIZATION */
- else
- {
- if (d1 > n1)
- {
- /* 00 = nn / DD */
- q0 = 0;
- q1 = 0;
- /* Remainder in n1n0. */
- if (rp != 0)
- {
- rr.s.low = n0;
- rr.s.high = n1;
- *rp = rr.ll;
- }
- }
- else
- {
- /* 0q = NN / dd */
- bm = stdc_leading_zeros (d1);
- if (bm == 0)
- {
- /* From (n1 >= d1) /\ (the most significant bit of d1 is set),
- conclude (the most significant bit of n1 is set) /\ (the
- quotient digit q0 = 0 or 1).
- This special case is necessary, not an optimization. */
- /* The condition on the next line takes advantage of that
- n1 >= d1 (true due to program flow). */
- if (n1 > d1 || n0 >= d0)
- {
- q0 = 1;
- sub_ddmmss (n1, n0, n1, n0, d1, d0);
- }
- else
- q0 = 0;
- q1 = 0;
- if (rp != 0)
- {
- rr.s.low = n0;
- rr.s.high = n1;
- *rp = rr.ll;
- }
- }
- else
- {
- UWtype m1, m0;
- /* Normalize. */
- b = W_TYPE_SIZE - bm;
- d1 = (d1 << bm) | (d0 >> b);
- d0 = d0 << bm;
- n2 = n1 >> b;
- n1 = (n1 << bm) | (n0 >> b);
- n0 = n0 << bm;
- udiv_qrnnd (q0, n1, n2, n1, d1);
- umul_ppmm (m1, m0, q0, d0);
- if (m1 > n1 || (m1 == n1 && m0 > n0))
- {
- q0--;
- sub_ddmmss (m1, m0, m1, m0, d1, d0);
- }
- q1 = 0;
- /* Remainder in (n1n0 - m1m0) >> bm. */
- if (rp != 0)
- {
- sub_ddmmss (n1, n0, n1, n0, m1, m0);
- rr.s.low = (n1 << b) | (n0 >> bm);
- rr.s.high = n1 >> bm;
- *rp = rr.ll;
- }
- }
- }
- }
- ww.s.low = q0;
- ww.s.high = q1;
- return ww.ll;
- }
- DWtype
- __divdi3 (DWtype u, DWtype v)
- {
- Wtype c = 0;
- DWtype w;
- if (u < 0)
- {
- c = ~c;
- u = -u;
- }
- if (v < 0)
- {
- c = ~c;
- v = -v;
- }
- w = __udivmoddi4 (u, v, NULL);
- if (c)
- w = -w;
- return w;
- }
- strong_alias (__divdi3, __divdi3_internal)
- DWtype
- __moddi3 (DWtype u, DWtype v)
- {
- Wtype c = 0;
- DWtype w;
- if (u < 0)
- {
- c = ~c;
- u = -u;
- }
- if (v < 0)
- v = -v;
- __udivmoddi4 (u, v, (UDWtype *) &w);
- if (c)
- w = -w;
- return w;
- }
- strong_alias (__moddi3, __moddi3_internal)
- UDWtype
- __udivdi3 (UDWtype u, UDWtype v)
- {
- return __udivmoddi4 (u, v, NULL);
- }
- strong_alias (__udivdi3, __udivdi3_internal)
- UDWtype
- __umoddi3 (UDWtype u, UDWtype v)
- {
- UDWtype w;
- __udivmoddi4 (u, v, &w);
- return w;
- }
- strong_alias (__umoddi3, __umoddi3_internal)
- /* We declare these with compat_symbol so that they are not visible at
- link time. Programs must use the functions from libgcc. */
- #ifdef SHARED
- # include <shlib-compat.h>
- compat_symbol (libc, __divdi3, __divdi3, GLIBC_2_0);
- compat_symbol (libc, __moddi3, __moddi3, GLIBC_2_0);
- compat_symbol (libc, __udivdi3, __udivdi3, GLIBC_2_0);
- compat_symbol (libc, __umoddi3, __umoddi3, GLIBC_2_0);
- #endif
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