--- /dev/null
+/* mpz_abs(dst, src) -- Assign the absolute value of SRC to DST.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_abs (mpz_ptr w, mpz_srcptr u)
+#else
+mpz_abs (w, u)
+ mpz_ptr w;
+ mpz_srcptr u;
+#endif
+{
+ mp_ptr wp, up;
+ mp_size_t size;
+
+ size = ABS (u->_mp_size);
+
+ if (u != w)
+ {
+ if (w->_mp_alloc < size)
+ _mpz_realloc (w, size);
+
+ wp = w->_mp_d;
+ up = u->_mp_d;
+
+ MPN_COPY (wp, up, size);
+ }
+
+ w->_mp_size = size;
+}
--- /dev/null
+/* mpz_add -- Add two integers.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+#ifndef BERKELEY_MP
+void
+#if __STDC__
+mpz_add (mpz_ptr w, mpz_srcptr u, mpz_srcptr v)
+#else
+mpz_add (w, u, v)
+ mpz_ptr w;
+ mpz_srcptr u;
+ mpz_srcptr v;
+#endif
+#else /* BERKELEY_MP */
+void
+#if __STDC__
+madd (mpz_srcptr u, mpz_srcptr v, mpz_ptr w)
+#else
+madd (u, v, w)
+ mpz_srcptr u;
+ mpz_srcptr v;
+ mpz_ptr w;
+#endif
+#endif /* BERKELEY_MP */
+{
+ mp_srcptr up, vp;
+ mp_ptr wp;
+ mp_size_t usize, vsize, wsize;
+ mp_size_t abs_usize;
+ mp_size_t abs_vsize;
+
+ usize = u->_mp_size;
+ vsize = v->_mp_size;
+ abs_usize = ABS (usize);
+ abs_vsize = ABS (vsize);
+
+ if (abs_usize < abs_vsize)
+ {
+ /* Swap U and V. */
+ {const __mpz_struct *t = u; u = v; v = t;}
+ {mp_size_t t = usize; usize = vsize; vsize = t;}
+ {mp_size_t t = abs_usize; abs_usize = abs_vsize; abs_vsize = t;}
+ }
+
+ /* True: ABS_USIZE >= ABS_VSIZE. */
+
+ /* If not space for w (and possible carry), increase space. */
+ wsize = abs_usize + 1;
+ if (w->_mp_alloc < wsize)
+ _mpz_realloc (w, wsize);
+
+ /* These must be after realloc (u or v may be the same as w). */
+ up = u->_mp_d;
+ vp = v->_mp_d;
+ wp = w->_mp_d;
+
+ if ((usize ^ vsize) < 0)
+ {
+ /* U and V have different sign. Need to compare them to determine
+ which operand to subtract from which. */
+
+ /* This test is right since ABS_USIZE >= ABS_VSIZE. */
+ if (abs_usize != abs_vsize)
+ {
+ mpn_sub (wp, up, abs_usize, vp, abs_vsize);
+ wsize = abs_usize;
+ MPN_NORMALIZE (wp, wsize);
+ if (usize < 0)
+ wsize = -wsize;
+ }
+ else if (mpn_cmp (up, vp, abs_usize) < 0)
+ {
+ mpn_sub_n (wp, vp, up, abs_usize);
+ wsize = abs_usize;
+ MPN_NORMALIZE (wp, wsize);
+ if (usize >= 0)
+ wsize = -wsize;
+ }
+ else
+ {
+ mpn_sub_n (wp, up, vp, abs_usize);
+ wsize = abs_usize;
+ MPN_NORMALIZE (wp, wsize);
+ if (usize < 0)
+ wsize = -wsize;
+ }
+ }
+ else
+ {
+ /* U and V have same sign. Add them. */
+ mp_limb_t cy_limb = mpn_add (wp, up, abs_usize, vp, abs_vsize);
+ wp[abs_usize] = cy_limb;
+ wsize = abs_usize + cy_limb;
+ if (usize < 0)
+ wsize = -wsize;
+ }
+
+ w->_mp_size = wsize;
+}
--- /dev/null
+/* mpz_add_ui -- Add an mpz_t and an unsigned one-word integer.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_add_ui (mpz_ptr w, mpz_srcptr u, unsigned long int v)
+#else
+mpz_add_ui (w, u, v)
+ mpz_ptr w;
+ mpz_srcptr u;
+ unsigned long int v;
+#endif
+{
+ mp_srcptr up;
+ mp_ptr wp;
+ mp_size_t usize, wsize;
+ mp_size_t abs_usize;
+
+ usize = u->_mp_size;
+ abs_usize = ABS (usize);
+
+ /* If not space for W (and possible carry), increase space. */
+ wsize = abs_usize + 1;
+ if (w->_mp_alloc < wsize)
+ _mpz_realloc (w, wsize);
+
+ /* These must be after realloc (U may be the same as W). */
+ up = u->_mp_d;
+ wp = w->_mp_d;
+
+ if (abs_usize == 0)
+ {
+ wp[0] = v;
+ w->_mp_size = v != 0;
+ return;
+ }
+
+ if (usize >= 0)
+ {
+ mp_limb_t cy;
+ cy = mpn_add_1 (wp, up, abs_usize, v);
+ wp[abs_usize] = cy;
+ wsize = abs_usize + cy;
+ }
+ else
+ {
+ /* The signs are different. Need exact comparison to determine
+ which operand to subtract from which. */
+ if (abs_usize == 1 && up[0] < v)
+ {
+ wp[0] = v - up[0];
+ wsize = 1;
+ }
+ else
+ {
+ mpn_sub_1 (wp, up, abs_usize, v);
+ /* Size can decrease with at most one limb. */
+ wsize = -(abs_usize - (wp[abs_usize - 1] == 0));
+ }
+ }
+
+ w->_mp_size = wsize;
+}
--- /dev/null
+/* mpz_and -- Logical and.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_and (mpz_ptr res, mpz_srcptr op1, mpz_srcptr op2)
+#else
+mpz_and (res, op1, op2)
+ mpz_ptr res;
+ mpz_srcptr op1;
+ mpz_srcptr op2;
+#endif
+{
+ mp_srcptr op1_ptr, op2_ptr;
+ mp_size_t op1_size, op2_size;
+ mp_ptr res_ptr;
+ mp_size_t res_size;
+ mp_size_t i;
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+ op1_size = op1->_mp_size;
+ op2_size = op2->_mp_size;
+
+ op1_ptr = op1->_mp_d;
+ op2_ptr = op2->_mp_d;
+ res_ptr = res->_mp_d;
+
+ if (op1_size >= 0)
+ {
+ if (op2_size >= 0)
+ {
+ res_size = MIN (op1_size, op2_size);
+ /* First loop finds the size of the result. */
+ for (i = res_size - 1; i >= 0; i--)
+ if ((op1_ptr[i] & op2_ptr[i]) != 0)
+ break;
+ res_size = i + 1;
+
+ /* Handle allocation, now then we know exactly how much space is
+ needed for the result. */
+ if (res->_mp_alloc < res_size)
+ {
+ _mpz_realloc (res, res_size);
+ op1_ptr = op1->_mp_d;
+ op2_ptr = op2->_mp_d;
+ res_ptr = res->_mp_d;
+ }
+
+ /* Second loop computes the real result. */
+ for (i = res_size - 1; i >= 0; i--)
+ res_ptr[i] = op1_ptr[i] & op2_ptr[i];
+
+ res->_mp_size = res_size;
+ return;
+ }
+ else /* op2_size < 0 */
+ {
+ /* Fall through to the code at the end of the function. */
+ }
+ }
+ else
+ {
+ if (op2_size < 0)
+ {
+ mp_ptr opx;
+ mp_limb_t cy;
+ mp_size_t res_alloc;
+
+ /* Both operands are negative, so will be the result.
+ -((-OP1) & (-OP2)) = -(~(OP1 - 1) & ~(OP2 - 1)) =
+ = ~(~(OP1 - 1) & ~(OP2 - 1)) + 1 =
+ = ((OP1 - 1) | (OP2 - 1)) + 1 */
+
+ /* It might seem as we could end up with an (invalid) result with
+ a leading zero-limb here when one of the operands is of the
+ type 1,,0,,..,,.0. But some analysis shows that we surely
+ would get carry into the zero-limb in this situation... */
+
+ op1_size = -op1_size;
+ op2_size = -op2_size;
+
+ res_alloc = 1 + MAX (op1_size, op2_size);
+
+ opx = (mp_ptr) TMP_ALLOC (op1_size * BYTES_PER_MP_LIMB);
+ mpn_sub_1 (opx, op1_ptr, op1_size, (mp_limb_t) 1);
+ op1_ptr = opx;
+
+ opx = (mp_ptr) TMP_ALLOC (op2_size * BYTES_PER_MP_LIMB);
+ mpn_sub_1 (opx, op2_ptr, op2_size, (mp_limb_t) 1);
+ op2_ptr = opx;
+
+ if (res->_mp_alloc < res_alloc)
+ {
+ _mpz_realloc (res, res_alloc);
+ res_ptr = res->_mp_d;
+ /* Don't re-read OP1_PTR and OP2_PTR. They point to
+ temporary space--never to the space RES->_mp_D used
+ to point to before reallocation. */
+ }
+
+ if (op1_size >= op2_size)
+ {
+ MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size,
+ op1_size - op2_size);
+ for (i = op2_size - 1; i >= 0; i--)
+ res_ptr[i] = op1_ptr[i] | op2_ptr[i];
+ res_size = op1_size;
+ }
+ else
+ {
+ MPN_COPY (res_ptr + op1_size, op2_ptr + op1_size,
+ op2_size - op1_size);
+ for (i = op1_size - 1; i >= 0; i--)
+ res_ptr[i] = op1_ptr[i] | op2_ptr[i];
+ res_size = op2_size;
+ }
+
+ cy = mpn_add_1 (res_ptr, res_ptr, res_size, (mp_limb_t) 1);
+ if (cy)
+ {
+ res_ptr[res_size] = cy;
+ res_size++;
+ }
+
+ res->_mp_size = -res_size;
+ TMP_FREE (marker);
+ return;
+ }
+ else
+ {
+ /* We should compute -OP1 & OP2. Swap OP1 and OP2 and fall
+ through to the code that handles OP1 & -OP2. */
+ {mpz_srcptr t = op1; op1 = op2; op2 = t;}
+ {mp_srcptr t = op1_ptr; op1_ptr = op2_ptr; op2_ptr = t;}
+ {mp_size_t t = op1_size; op1_size = op2_size; op2_size = t;}
+ }
+
+ }
+
+ {
+#if ANDNEW
+ mp_size_t op2_lim;
+ mp_size_t count;
+
+ /* OP2 must be negated as with infinite precision.
+
+ Scan from the low end for a non-zero limb. The first non-zero
+ limb is simply negated (two's complement). Any subsequent
+ limbs are one's complemented. Of course, we don't need to
+ handle more limbs than there are limbs in the other, positive
+ operand as the result for those limbs is going to become zero
+ anyway. */
+
+ /* Scan for the least significant. non-zero OP2 limb, and zero the
+ result meanwhile for those limb positions. (We will surely
+ find a non-zero limb, so we can write the loop with one
+ termination condition only.) */
+ for (i = 0; op2_ptr[i] == 0; i++)
+ res_ptr[i] = 0;
+ op2_lim = i;
+
+ op2_size = -op2_size;
+
+ if (op1_size <= op2_size)
+ {
+ /* The ones-extended OP2 is >= than the zero-extended OP1.
+ RES_SIZE <= OP1_SIZE. Find the exact size. */
+ for (i = op1_size - 1; i > op2_lim; i--)
+ if ((op1_ptr[i] & ~op2_ptr[i]) != 0)
+ break;
+ res_size = i + 1;
+ for (i = res_size - 1; i > op2_lim; i--)
+ res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
+ res_ptr[op2_lim] = op1_ptr[op2_lim] & -op2_ptr[op2_lim];
+ /* Yes, this *can* happen! */
+ MPN_NORMALIZE (res_ptr, res_size);
+ }
+ else
+ {
+ /* The ones-extended OP2 is < than the zero-extended OP1.
+ RES_SIZE == OP1_SIZE, since OP1 is normalized. */
+ res_size = op1_size;
+ MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size, op1_size - op2_size);
+ for (i = op2_size - 1; i > op2_lim; i--)
+ res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
+ res_ptr[op2_lim] = op1_ptr[op2_lim] & -op2_ptr[op2_lim];
+ }
+
+ res->_mp_size = res_size;
+#else
+
+ /* OP1 is positive and zero-extended,
+ OP2 is negative and ones-extended.
+ The result will be positive.
+ OP1 & -OP2 = OP1 & ~(OP2 - 1). */
+
+ mp_ptr opx;
+
+ op2_size = -op2_size;
+ opx = (mp_ptr) TMP_ALLOC (op2_size * BYTES_PER_MP_LIMB);
+ mpn_sub_1 (opx, op2_ptr, op2_size, (mp_limb_t) 1);
+ op2_ptr = opx;
+
+ if (op1_size > op2_size)
+ {
+ /* The result has the same size as OP1, since OP1 is normalized
+ and longer than the ones-extended OP2. */
+ res_size = op1_size;
+
+ /* Handle allocation, now then we know exactly how much space is
+ needed for the result. */
+ if (res->_mp_alloc < res_size)
+ {
+ _mpz_realloc (res, res_size);
+ res_ptr = res->_mp_d;
+ op1_ptr = op1->_mp_d;
+ /* Don't re-read OP2_PTR. It points to temporary space--never
+ to the space RES->_mp_D used to point to before reallocation. */
+ }
+
+ MPN_COPY (res_ptr + op2_size, op1_ptr + op2_size,
+ res_size - op2_size);
+ for (i = op2_size - 1; i >= 0; i--)
+ res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
+
+ res->_mp_size = res_size;
+ }
+ else
+ {
+ /* Find out the exact result size. Ignore the high limbs of OP2,
+ OP1 is zero-extended and would make the result zero. */
+ for (i = op1_size - 1; i >= 0; i--)
+ if ((op1_ptr[i] & ~op2_ptr[i]) != 0)
+ break;
+ res_size = i + 1;
+
+ /* Handle allocation, now then we know exactly how much space is
+ needed for the result. */
+ if (res->_mp_alloc < res_size)
+ {
+ _mpz_realloc (res, res_size);
+ res_ptr = res->_mp_d;
+ op1_ptr = op1->_mp_d;
+ /* Don't re-read OP2_PTR. It points to temporary space--never
+ to the space RES->_mp_D used to point to before reallocation. */
+ }
+
+ for (i = res_size - 1; i >= 0; i--)
+ res_ptr[i] = op1_ptr[i] & ~op2_ptr[i];
+
+ res->_mp_size = res_size;
+ }
+#endif
+ }
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_array_init (array, array_size, size_per_elem) --
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_array_init (mpz_ptr arr, mp_size_t arr_size, mp_size_t nbits)
+#else
+mpz_array_init (arr, arr_size, nbits)
+ mpz_ptr arr;
+ mp_size_t arr_size;
+ mp_size_t nbits;
+#endif
+{
+ register mp_ptr p;
+ register size_t i;
+ mp_size_t nlimbs;
+
+ nlimbs = (nbits + BITS_PER_MP_LIMB - 1) / BITS_PER_MP_LIMB;
+ p = (mp_ptr) (*_mp_allocate_func) (arr_size * nlimbs * BYTES_PER_MP_LIMB);
+
+ for (i = 0; i < arr_size; i++)
+ {
+ arr[i]._mp_alloc = nlimbs + 1; /* Yes, lie a little... */
+ arr[i]._mp_size = 0;
+ arr[i]._mp_d = p + i * nlimbs;
+ }
+}
--- /dev/null
+/* mpz_cdiv_q -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_cdiv_q (mpz_ptr quot, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_cdiv_q (quot, dividend, divisor)
+ mpz_ptr quot;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t dividend_size = dividend->_mp_size;
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t rem;
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ MPZ_TMP_INIT (rem, 1 + ABS (dividend_size));
+
+ mpz_tdiv_qr (quot, rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend_size) >= 0 && rem->_mp_size != 0)
+ mpz_add_ui (quot, quot, 1L);
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_cdiv_q_ui -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator. In order to make it
+ always fit into the return type, the negative of the true remainder is
+ returned.
+
+Copyright (C) 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_cdiv_q_ui (mpz_ptr quot, mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_cdiv_q_ui (quot, dividend, divisor)
+ mpz_ptr quot;
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_ptr quot_ptr;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ if (quot->_mp_alloc < size)
+ _mpz_realloc (quot, size);
+
+ quot_ptr = quot->_mp_d;
+
+ remainder_limb = mpn_divmod_1 (quot_ptr, dividend->_mp_d, size,
+ (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size >= 0)
+ {
+ mpn_add_1 (quot_ptr, quot_ptr, size, (mp_limb_t) 1);
+ remainder_limb = divisor - remainder_limb;
+ }
+
+ size -= size != 0 && quot_ptr[size - 1] == 0;
+ quot->_mp_size = dividend_size >= 0 ? size : -size;
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_cdiv_qr -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_cdiv_qr (mpz_ptr quot, mpz_ptr rem, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_cdiv_qr (quot, rem, dividend, divisor)
+ mpz_ptr quot;
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t temp_divisor; /* N.B.: lives until function returns! */
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ /* We need the original value of the divisor after the quotient and
+ remainder have been preliminary calculated. We have to copy it to
+ temporary space if it's the same variable as either QUOT or REM. */
+ if (quot == divisor || rem == divisor)
+ {
+ MPZ_TMP_INIT (temp_divisor, ABS (divisor_size));
+ mpz_set (temp_divisor, divisor);
+ divisor = temp_divisor;
+ }
+
+ mpz_tdiv_qr (quot, rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend->_mp_size) >= 0 && rem->_mp_size != 0)
+ {
+ mpz_add_ui (quot, quot, 1L);
+ mpz_sub (rem, rem, divisor);
+ }
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_cdiv_qr_ui -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator. In order to make it
+ always fit into the return type, the negative of the true remainder is
+ returned.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_cdiv_qr_ui (mpz_ptr quot, mpz_ptr rem, mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_cdiv_qr_ui (quot, rem, dividend, divisor)
+ mpz_ptr quot;
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_ptr quot_ptr;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ if (quot->_mp_alloc < size)
+ _mpz_realloc (quot, size);
+
+ quot_ptr = quot->_mp_d;
+
+ remainder_limb = mpn_divmod_1 (quot_ptr, dividend->_mp_d, size,
+ (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size >= 0)
+ {
+ mpn_add_1 (quot_ptr, quot_ptr, size, (mp_limb_t) 1);
+ remainder_limb = divisor - remainder_limb;
+ }
+
+ size -= size != 0 && quot_ptr[size - 1] == 0;
+ quot->_mp_size = dividend_size >= 0 ? size : -size;
+
+ rem->_mp_d[0] = remainder_limb;
+ rem->_mp_size = -(remainder_limb != 0);
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_cdiv_r -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_cdiv_r (mpz_ptr rem, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_cdiv_r (rem, dividend, divisor)
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t temp_divisor; /* N.B.: lives until function returns! */
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ /* We need the original value of the divisor after the remainder has been
+ preliminary calculated. We have to copy it to temporary space if it's
+ the same variable as REM. */
+ if (rem == divisor)
+ {
+
+ MPZ_TMP_INIT (temp_divisor, ABS (divisor_size));
+ mpz_set (temp_divisor, divisor);
+ divisor = temp_divisor;
+ }
+
+ mpz_tdiv_r (rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend->_mp_size) >= 0 && rem->_mp_size != 0)
+ mpz_sub (rem, rem, divisor);
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_cdiv_r_ui -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator. In order to make it
+ always fit into the return type, the negative of the true remainder is
+ returned.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_cdiv_r_ui (mpz_ptr rem, mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_cdiv_r_ui (rem, dividend, divisor)
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ remainder_limb = mpn_mod_1 (dividend->_mp_d, size, (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size >= 0)
+ remainder_limb = divisor - remainder_limb;
+
+ rem->_mp_d[0] = remainder_limb;
+ rem->_mp_size = -(remainder_limb != 0);
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_cdiv_ui -- Division rounding the quotient towards +infinity. The
+ remainder gets the opposite sign as the denominator. In order to make it
+ always fit into the return type, the negative of the true remainder is
+ returned.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_cdiv_ui (mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_cdiv_ui (dividend, divisor)
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ remainder_limb = mpn_mod_1 (dividend->_mp_d, size, (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size >= 0)
+ remainder_limb = divisor - remainder_limb;
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_clear -- de-allocate the space occupied by the dynamic digit space of
+ an integer.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_clear (mpz_ptr m)
+#else
+mpz_clear (m)
+ mpz_ptr m;
+#endif
+{
+ (*_mp_free_func) (m->_mp_d, m->_mp_alloc * BYTES_PER_MP_LIMB);
+}
--- /dev/null
+/* mpz_clrbit -- clear a specified bit.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_clrbit (mpz_ptr d, unsigned long int bit_index)
+#else
+mpz_clrbit (d, bit_index)
+ mpz_ptr d;
+ unsigned long int bit_index;
+#endif
+{
+ mp_size_t dsize = d->_mp_size;
+ mp_ptr dp = d->_mp_d;
+ mp_size_t limb_index;
+
+ limb_index = bit_index / BITS_PER_MP_LIMB;
+ if (dsize >= 0)
+ {
+ if (limb_index < dsize)
+ {
+ dp[limb_index] &= ~((mp_limb_t) 1 << (bit_index % BITS_PER_MP_LIMB));
+ MPN_NORMALIZE (dp, dsize);
+ d->_mp_size = dsize;
+ }
+ else
+ ;
+ }
+ else
+ {
+ mp_size_t zero_bound;
+
+ /* Simulate two's complement arithmetic, i.e. simulate
+ 1. Set OP = ~(OP - 1) [with infinitely many leading ones].
+ 2. clear the bit.
+ 3. Set OP = ~OP + 1. */
+
+ dsize = -dsize;
+
+ /* No upper bound on this loop, we're sure there's a non-zero limb
+ sooner ot later. */
+ for (zero_bound = 0; ; zero_bound++)
+ if (dp[zero_bound] != 0)
+ break;
+
+ if (limb_index > zero_bound)
+ {
+ if (limb_index < dsize)
+ dp[limb_index] |= (mp_limb_t) 1 << (bit_index % BITS_PER_MP_LIMB);
+ else
+ {
+ /* Ugh. The bit should be cleared outside of the end of the
+ number. We have to increase the size of the number. */
+ if (d->_mp_alloc < limb_index + 1)
+ {
+ _mpz_realloc (d, limb_index + 1);
+ dp = d->_mp_d;
+ }
+ MPN_ZERO (dp + dsize, limb_index - dsize);
+ dp[limb_index] = (mp_limb_t) 1 << (bit_index % BITS_PER_MP_LIMB);
+ d->_mp_size = -(limb_index + 1);
+ }
+ }
+ else if (limb_index == zero_bound)
+ {
+ dp[limb_index] = ((dp[limb_index] - 1)
+ | ((mp_limb_t) 1 << (bit_index % BITS_PER_MP_LIMB))) + 1;
+ if (dp[limb_index] == 0)
+ {
+ mp_size_t i;
+ for (i = limb_index + 1; i < dsize; i++)
+ {
+ dp[i] += 1;
+ if (dp[i] != 0)
+ goto fin;
+ }
+ /* We got carry all way out beyond the end of D. Increase
+ its size (and allocation if necessary). */
+ dsize++;
+ if (d->_mp_alloc < dsize)
+ {
+ _mpz_realloc (d, dsize);
+ dp = d->_mp_d;
+ }
+ dp[i] = 1;
+ d->_mp_size = -dsize;
+ fin:;
+ }
+ }
+ else
+ ;
+ }
+}
--- /dev/null
+/* mpz_cmp(u,v) -- Compare U, V. Return postive, zero, or negative
+ based on if U > V, U == V, or U < V.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#ifdef BERKELEY_MP
+#include "mp.h"
+#endif
+#include "gmp.h"
+#include "gmp-impl.h"
+
+#ifndef BERKELEY_MP
+int
+#if __STDC__
+mpz_cmp (mpz_srcptr u, mpz_srcptr v)
+#else
+mpz_cmp (u, v)
+ mpz_srcptr u;
+ mpz_srcptr v;
+#endif
+#else /* BERKELEY_MP */
+int
+#if __STDC__
+mcmp (mpz_srcptr u, mpz_srcptr v)
+#else
+mcmp (u, v)
+ mpz_srcptr u;
+ mpz_srcptr v;
+#endif
+#endif /* BERKELEY_MP */
+{
+ mp_size_t usize = u->_mp_size;
+ mp_size_t vsize = v->_mp_size;
+ mp_size_t size;
+ mp_srcptr up, vp;
+ int cmp;
+
+ if (usize != vsize)
+ return usize - vsize;
+
+ if (usize == 0)
+ return 0;
+
+ size = ABS (usize);
+
+ up = u->_mp_d;
+ vp = v->_mp_d;
+
+ cmp = mpn_cmp (up, vp, size);
+
+ if (cmp == 0)
+ return 0;
+
+ if ((cmp < 0) == (usize < 0))
+ return 1;
+ else
+ return -1;
+}
--- /dev/null
+/* mpz_cmp_si(u,v) -- Compare an integer U with a single-word int V.
+ Return positive, zero, or negative based on if U > V, U == V, or U < V.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+/* gmp.h defines a macro for mpz_cmp_si. */
+#undef mpz_cmp_si
+
+int
+#if __STDC__
+mpz_cmp_si (mpz_srcptr u, signed long int v_digit)
+#else
+mpz_cmp_si (u, v_digit)
+ mpz_srcptr u;
+ signed long int v_digit;
+#endif
+{
+ mp_size_t usize = u->_mp_size;
+ mp_size_t vsize;
+ mp_limb_t u_digit;
+
+ vsize = 0;
+ if (v_digit > 0)
+ vsize = 1;
+ else if (v_digit < 0)
+ {
+ vsize = -1;
+ v_digit = -v_digit;
+ }
+
+ if (usize != vsize)
+ return usize - vsize;
+
+ if (usize == 0)
+ return 0;
+
+ u_digit = u->_mp_d[0];
+
+ if (u_digit == v_digit)
+ return 0;
+
+ if (u_digit > v_digit)
+ return usize;
+ else
+ return -usize;
+}
--- /dev/null
+/* mpz_cmp_ui.c -- Compare a mpz_t a with an mp_limb_t b. Return positive,
+ zero, or negative based on if a > b, a == b, or a < b.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+/* gmp.h defines a macro for mpz_cmp_ui. */
+#undef mpz_cmp_ui
+
+int
+#if __STDC__
+mpz_cmp_ui (mpz_srcptr u, unsigned long int v_digit)
+#else
+mpz_cmp_ui (u, v_digit)
+ mpz_srcptr u;
+ unsigned long int v_digit;
+#endif
+{
+ mp_size_t usize = u->_mp_size;
+
+ if (usize == 0)
+ return -(v_digit != 0);
+
+ if (usize == 1)
+ {
+ mp_limb_t u_digit;
+
+ u_digit = u->_mp_d[0];
+ if (u_digit > v_digit)
+ return 1;
+ if (u_digit < v_digit)
+ return -1;
+ return 0;
+ }
+
+ return (usize > 0) ? 1 : -1;
+}
--- /dev/null
+/* mpz_com(mpz_ptr dst, mpz_ptr src) -- Assign the bit-complemented value of
+ SRC to DST.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_com (mpz_ptr dst, mpz_srcptr src)
+#else
+mpz_com (dst, src)
+ mpz_ptr dst;
+ mpz_srcptr src;
+#endif
+{
+ mp_size_t size = src->_mp_size;
+ mp_srcptr src_ptr;
+ mp_ptr dst_ptr;
+
+ if (size >= 0)
+ {
+ /* As with infinite precision: one's complement, two's complement.
+ But this can be simplified using the identity -x = ~x + 1.
+ So we're going to compute (~~x) + 1 = x + 1! */
+
+ if (dst->_mp_alloc < size + 1)
+ _mpz_realloc (dst, size + 1);
+
+ src_ptr = src->_mp_d;
+ dst_ptr = dst->_mp_d;
+
+ if (size == 0)
+ {
+ /* Special case, as mpn_add wants the first arg's size >= the
+ second arg's size. */
+ dst_ptr[0] = 1;
+ dst->_mp_size = -1;
+ return;
+ }
+
+ {
+ mp_limb_t cy;
+
+ cy = mpn_add_1 (dst_ptr, src_ptr, size, (mp_limb_t) 1);
+ if (cy)
+ {
+ dst_ptr[size] = cy;
+ size++;
+ }
+ }
+
+ /* Store a negative size, to indicate ones-extension. */
+ dst->_mp_size = -size;
+ }
+ else
+ {
+ /* As with infinite precision: two's complement, then one's complement.
+ But that can be simplified using the identity -x = ~(x - 1).
+ So we're going to compute ~~(x - 1) = x - 1! */
+ size = -size;
+
+ if (dst->_mp_alloc < size)
+ _mpz_realloc (dst, size);
+
+ src_ptr = src->_mp_d;
+ dst_ptr = dst->_mp_d;
+
+ mpn_sub_1 (dst_ptr, src_ptr, size, (mp_limb_t) 1);
+ size -= dst_ptr[size - 1] == 0;
+
+ /* Store a positive size, to indicate zero-extension. */
+ dst->_mp_size = size;
+ }
+}
--- /dev/null
+/* mpz_divexact -- finds quotient when known that quot * den == num && den != 0.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+/* Ken Weber (kweber@mat.ufrgs.br, kweber@mcs.kent.edu)
+
+ Funding for this work has been partially provided by Conselho Nacional
+ de Desenvolvimento Cienti'fico e Tecnolo'gico (CNPq) do Brazil, Grant
+ 301314194-2, and was done while I was a visiting reseacher in the Instituto
+ de Matema'tica at Universidade Federal do Rio Grande do Sul (UFRGS).
+
+ References:
+ T. Jebelean, An algorithm for exact division, Journal of Symbolic
+ Computation, v. 15, 1993, pp. 169-180. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+void
+#if __STDC__
+mpz_divexact (mpz_ptr quot, mpz_srcptr num, mpz_srcptr den)
+#else
+mpz_divexact (quot, num, den)
+ mpz_ptr quot;
+ mpz_srcptr num;
+ mpz_srcptr den;
+#endif
+{
+ mp_ptr qp, tp;
+ mp_size_t qsize, tsize;
+
+ mp_srcptr np = num->_mp_d;
+ mp_srcptr dp = den->_mp_d;
+ mp_size_t nsize = ABS (num->_mp_size);
+ mp_size_t dsize = ABS (den->_mp_size);
+ TMP_DECL (marker);
+
+ /* Generate divide-by-zero error if dsize == 0. */
+ if (dsize == 0)
+ {
+ quot->_mp_size = 1 / dsize;
+ return;
+ }
+
+ if (nsize == 0)
+ {
+ quot->_mp_size = 0;
+ return;
+ }
+
+ qsize = nsize - dsize + 1;
+ if (quot->_mp_alloc < qsize)
+ _mpz_realloc (quot, qsize);
+ qp = quot->_mp_d;
+
+ TMP_MARK (marker);
+
+ /* QUOT <-- NUM/2^r, T <-- DEN/2^r where = r number of twos in DEN. */
+ while (dp[0] == 0)
+ np += 1, nsize -= 1, dp += 1, dsize -= 1;
+ tsize = MIN (qsize, dsize);
+ if (dp[0] & 1)
+ {
+ if (qp != dp)
+ MPN_COPY (qp, np, qsize);
+ if (qp == dp) /* QUOT and DEN overlap. */
+ {
+ tp = (mp_ptr) TMP_ALLOC (sizeof (mp_limb_t) * tsize);
+ MPN_COPY (tp, dp, tsize);
+ }
+ else
+ tp = (mp_ptr) dp;
+ }
+ else
+ {
+ unsigned long int r;
+ tp = (mp_ptr) TMP_ALLOC (sizeof (mp_limb_t) * tsize);
+ count_trailing_zeros (r, dp[0]);
+ mpn_rshift (tp, dp, tsize, r);
+ if (dsize > tsize)
+ tp[tsize-1] |= dp[tsize] << (BITS_PER_MP_LIMB - r);
+ mpn_rshift (qp, np, qsize, r);
+ if (nsize > qsize)
+ qp[qsize-1] |= np[qsize] << (BITS_PER_MP_LIMB - r);
+ }
+
+ /* Now QUOT <-- QUOT/T. */
+ mpn_bdivmod (qp, qp, qsize, tp, tsize, qsize * BITS_PER_MP_LIMB);
+ MPN_NORMALIZE (qp, qsize);
+
+ quot->_mp_size = (num->_mp_size < 0) == (den->_mp_size < 0) ? qsize : -qsize;
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_fac_ui(result, n) -- Set RESULT to N!.
+
+Copyright (C) 1991, 1993, 1994, 1995 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#ifdef DBG
+#include <stdio.h>
+#endif
+
+#include "gmp.h"
+#include "gmp-impl.h"
+#include "longlong.h"
+
+void
+#if __STDC__
+mpz_fac_ui (mpz_ptr result, unsigned long int n)
+#else
+mpz_fac_ui (result, n)
+ mpz_ptr result;
+ unsigned long int n;
+#endif
+{
+#if SIMPLE_FAC
+
+ /* Be silly. Just multiply the numbers in ascending order. O(n**2). */
+
+ unsigned long int k;
+
+ mpz_set_ui (result, 1L);
+
+ for (k = 2; k <= n; k++)
+ mpz_mul_ui (result, result, k);
+#else
+
+ /* Be smarter. Multiply groups of numbers in ascending order until the
+ product doesn't fit in a limb. Multiply these partial product in a
+ balanced binary tree fashion, to make the operand have as equal sizes
+ as possible. When the operands have about the same size, mpn_mul
+ becomes faster. */
+
+ unsigned long int p, k;
+ mp_limb_t p1, p0;
+
+ /* Stack of partial products, used to make the computation balanced
+ (i.e. make the sizes of the multiplication operands equal). The
+ topmost position of MP_STACK will contain a one-limb partial product,
+ the second topmost will contain a two-limb partial product, and so
+ on. MP_STACK[0] will contain a partial product with 2**t limbs.
+ To compute n! MP_STACK needs to be less than
+ log(n)**2/log(BITS_PER_MP_LIMB), so 30 is surely enough. */
+#define MP_STACK_SIZE 30
+ mpz_t mp_stack[MP_STACK_SIZE];
+
+ /* TOP is an index into MP_STACK, giving the topmost element.
+ TOP_LIMIT_SO_FAR is the largets value it has taken so far. */
+ int top, top_limit_so_far;
+
+ /* Count of the total number of limbs put on MP_STACK so far. This
+ variable plays an essential role in making the compututation balanced.
+ See below. */
+ unsigned int tree_cnt;
+
+ top = top_limit_so_far = -1;
+ tree_cnt = 0;
+ p = 1;
+ for (k = 2; k <= n; k++)
+ {
+ /* Multiply the partial product in P with K. */
+ umul_ppmm (p1, p0, (mp_limb_t) p, (mp_limb_t) k);
+
+ /* Did we get overflow into the high limb, i.e. is the partial
+ product now more than one limb? */
+ if (p1 != 0)
+ {
+ tree_cnt++;
+
+ if (tree_cnt % 2 == 0)
+ {
+ mp_size_t i;
+
+ /* TREE_CNT is even (i.e. we have generated an even number of
+ one-limb partial products), which means that we have a
+ single-limb product on the top of MP_STACK. */
+
+ mpz_mul_ui (mp_stack[top], mp_stack[top], p);
+
+ /* If TREE_CNT is divisable by 4, 8,..., we have two
+ similar-sized partial products with 2, 4,... limbs at
+ the topmost two positions of MP_STACK. Multiply them
+ to form a new partial product with 4, 8,... limbs. */
+ for (i = 4; (tree_cnt & (i - 1)) == 0; i <<= 1)
+ {
+ mpz_mul (mp_stack[top - 1],
+ mp_stack[top], mp_stack[top - 1]);
+ top--;
+ }
+ }
+ else
+ {
+ /* Put the single-limb partial product in P on the stack.
+ (The next time we get a single-limb product, we will
+ multiply the two together.) */
+ top++;
+ if (top > top_limit_so_far)
+ {
+ if (top > MP_STACK_SIZE)
+ abort();
+ /* The stack is now bigger than ever, initialize the top
+ element. */
+ mpz_init_set_ui (mp_stack[top], p);
+ top_limit_so_far++;
+ }
+ else
+ mpz_set_ui (mp_stack[top], p);
+ }
+
+ /* We ignored the last result from umul_ppmm. Put K in P as the
+ first component of the next single-limb partial product. */
+ p = k;
+ }
+ else
+ /* We didn't get overflow in umul_ppmm. Put p0 in P and try
+ with one more value of K. */
+ p = p0; /* bogus if long != mp_limb_t */
+ }
+
+ /* We have partial products in mp_stack[0..top], in descending order.
+ We also have a small partial product in p.
+ Their product is the final result. */
+ if (top < 0)
+ mpz_set_ui (result, p);
+ else
+ mpz_mul_ui (result, mp_stack[top--], p);
+ while (top >= 0)
+ mpz_mul (result, result, mp_stack[top--]);
+
+ /* Free the storage allocated for MP_STACK. */
+ for (top = top_limit_so_far; top >= 0; top--)
+ mpz_clear (mp_stack[top]);
+#endif
+}
--- /dev/null
+/* mpz_fdiv_q -- Division rounding the quotient towards -infinity.
+ The remainder gets the same sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_fdiv_q (mpz_ptr quot, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_fdiv_q (quot, dividend, divisor)
+ mpz_ptr quot;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t dividend_size = dividend->_mp_size;
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t rem;
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ MPZ_TMP_INIT (rem, 1 + ABS (dividend_size));
+
+ mpz_tdiv_qr (quot, rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend_size) < 0 && rem->_mp_size != 0)
+ mpz_sub_ui (quot, quot, 1L);
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_fdiv_q_2exp -- Divide an integer by 2**CNT. Round the quotient
+ towards -infinity.
+
+Copyright (C) 1991, 1993, 1994, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_fdiv_q_2exp (mpz_ptr w, mpz_srcptr u, unsigned long int cnt)
+#else
+mpz_fdiv_q_2exp (w, u, cnt)
+ mpz_ptr w;
+ mpz_srcptr u;
+ unsigned long int cnt;
+#endif
+{
+ mp_size_t usize = u->_mp_size;
+ mp_size_t wsize;
+ mp_size_t abs_usize = ABS (usize);
+ mp_size_t limb_cnt;
+ mp_ptr wp;
+ mp_limb_t round = 0;
+
+ limb_cnt = cnt / BITS_PER_MP_LIMB;
+ wsize = abs_usize - limb_cnt;
+ if (wsize <= 0)
+ {
+ wp = w->_mp_d;
+ wsize = 0;
+ /* Set ROUND since we know we skip some non-zero words in this case.
+ Well, if U is zero, we don't, but then this will be taken care of
+ below, since rounding only really takes place for negative U. */
+ round = 1;
+ wp[0] = 1;
+ w->_mp_size = -(usize < 0);
+ return;
+ }
+ else
+ {
+ mp_size_t i;
+ mp_ptr up;
+
+ /* Make sure there is enough space. We make an extra limb
+ here to account for possible rounding at the end. */
+ if (w->_mp_alloc < wsize + 1)
+ _mpz_realloc (w, wsize + 1);
+
+ wp = w->_mp_d;
+ up = u->_mp_d;
+
+ /* Set ROUND if we are about skip some non-zero limbs. */
+ for (i = 0; i < limb_cnt && round == 0; i++)
+ round = up[i];
+
+ cnt %= BITS_PER_MP_LIMB;
+ if (cnt != 0)
+ {
+ round |= mpn_rshift (wp, up + limb_cnt, wsize, cnt);
+ wsize -= wp[wsize - 1] == 0;
+ }
+ else
+ {
+ MPN_COPY_INCR (wp, up + limb_cnt, wsize);
+ }
+ }
+
+ if (usize < 0 && round != 0)
+ {
+ mp_limb_t cy;
+ cy = mpn_add_1 (wp, wp, wsize, 1);
+ wp[wsize] = cy;
+ wsize += cy;
+ }
+ w->_mp_size = usize >= 0 ? wsize : -wsize;
+}
--- /dev/null
+/* mpz_fdiv_q_ui -- Division rounding the quotient towards -infinity.
+ The remainder gets the same sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_fdiv_q_ui (mpz_ptr quot, mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_fdiv_q_ui (quot, dividend, divisor)
+ mpz_ptr quot;
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_ptr quot_ptr;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ if (quot->_mp_alloc < size)
+ _mpz_realloc (quot, size);
+
+ quot_ptr = quot->_mp_d;
+
+ remainder_limb = mpn_divmod_1 (quot_ptr, dividend->_mp_d, size,
+ (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size < 0)
+ {
+ mpn_add_1 (quot_ptr, quot_ptr, size, (mp_limb_t) 1);
+ remainder_limb = divisor - remainder_limb;
+ }
+
+ size -= size != 0 && quot_ptr[size - 1] == 0;
+ quot->_mp_size = dividend_size >= 0 ? size : -size;
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_fdiv_qr -- Division rounding the quotient towards -infinity.
+ The remainder gets the same sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_fdiv_qr (mpz_ptr quot, mpz_ptr rem, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_fdiv_qr (quot, rem, dividend, divisor)
+ mpz_ptr quot;
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t temp_divisor; /* N.B.: lives until function returns! */
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ /* We need the original value of the divisor after the quotient and
+ remainder have been preliminary calculated. We have to copy it to
+ temporary space if it's the same variable as either QUOT or REM. */
+ if (quot == divisor || rem == divisor)
+ {
+ MPZ_TMP_INIT (temp_divisor, ABS (divisor_size));
+ mpz_set (temp_divisor, divisor);
+ divisor = temp_divisor;
+ }
+
+ mpz_tdiv_qr (quot, rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend->_mp_size) < 0 && rem->_mp_size != 0)
+ {
+ mpz_sub_ui (quot, quot, 1L);
+ mpz_add (rem, rem, divisor);
+ }
+
+ TMP_FREE (marker);
+}
--- /dev/null
+/* mpz_fdiv_qr_ui -- Division rounding the quotient towards -infinity.
+ The remainder gets the same sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+unsigned long int
+#if __STDC__
+mpz_fdiv_qr_ui (mpz_ptr quot, mpz_ptr rem, mpz_srcptr dividend, unsigned long int divisor)
+#else
+mpz_fdiv_qr_ui (quot, rem, dividend, divisor)
+ mpz_ptr quot;
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ unsigned long int divisor;
+#endif
+{
+ mp_size_t dividend_size;
+ mp_size_t size;
+ mp_ptr quot_ptr;
+ mp_limb_t remainder_limb;
+
+ dividend_size = dividend->_mp_size;
+ size = ABS (dividend_size);
+
+ if (quot->_mp_alloc < size)
+ _mpz_realloc (quot, size);
+
+ quot_ptr = quot->_mp_d;
+
+ remainder_limb = mpn_divmod_1 (quot_ptr, dividend->_mp_d, size,
+ (mp_limb_t) divisor);
+
+ if (remainder_limb != 0 && dividend_size < 0)
+ {
+ mpn_add_1 (quot_ptr, quot_ptr, size, (mp_limb_t) 1);
+ remainder_limb = divisor - remainder_limb;
+ }
+
+ size -= size != 0 && quot_ptr[size - 1] == 0;
+ quot->_mp_size = dividend_size >= 0 ? size : -size;
+
+ rem->_mp_d[0] = remainder_limb;
+ rem->_mp_size = remainder_limb != 0;
+
+ return remainder_limb;
+}
--- /dev/null
+/* mpz_fdiv_r -- Division rounding the quotient towards -infinity.
+ The remainder gets the same sign as the denominator.
+
+Copyright (C) 1994, 1995, 1996 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 Library General Public License as published by
+the Free Software Foundation; either version 2 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 Library General Public
+License for more details.
+
+You should have received a copy of the GNU Library General Public License
+along with the GNU MP Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "gmp.h"
+#include "gmp-impl.h"
+
+void
+#if __STDC__
+mpz_fdiv_r (mpz_ptr rem, mpz_srcptr dividend, mpz_srcptr divisor)
+#else
+mpz_fdiv_r (rem, dividend, divisor)
+ mpz_ptr rem;
+ mpz_srcptr dividend;
+ mpz_srcptr divisor;
+#endif
+{
+ mp_size_t divisor_size = divisor->_mp_size;
+ mpz_t temp_divisor; /* N.B.: lives until function returns! */
+ TMP_DECL (marker);
+
+ TMP_MARK (marker);
+
+ /* We need the original value of the divisor after the remainder has been
+ preliminary calculated. We have to copy it to temporary space if it's
+ the same variable as REM. */
+ if (rem == divisor)
+ {
+ MPZ_TMP_INIT (temp_divisor, ABS (divisor_size));
+ mpz_set (temp_divisor, divisor);
+ divisor = temp_divisor;
+ }
+
+ mpz_tdiv_r (rem, dividend, divisor);
+
+ if ((divisor_size ^ dividend->_mp_size) < 0 && rem->_mp_size != 0)
+ mpz_add (rem, rem, divisor);
+
+ TMP_FREE (marker);
+}