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	modified minetest for gpcfs purposes	gpcf

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path: root/src/gmp/mini-gmp.c

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** Auxiliary functions for building Lua libraries ** See Copyright Notice in lua.h */ #include <ctype.h> #include <errno.h> #include <stdarg.h> #include <stdio.h> #include <stdlib.h> #include <string.h> /* This file uses only the official API of Lua. ** Any function declared here could be written as an application function. */ #define lauxlib_c #define LUA_LIB #include "lua.h" #include "lauxlib.h" #define FREELIST_REF 0 /* free list of references */ /* convert a stack index to positive */ #define abs_index(L, i) ((i) > 0 || (i) <= LUA_REGISTRYINDEX ? (i) : \ lua_gettop(L) + (i) + 1) /* ** {====================================================== ** Error-report functions ** ======================================================= */ LUALIB_API int luaL_argerror (lua_State *L, int narg, const char *extramsg) { lua_Debug ar; if (!lua_getstack(L, 0, &ar)) /* no stack frame? */ return luaL_error(L, "bad argument #%d (%s)", narg, extramsg); lua_getinfo(L, "n", &ar); if (strcmp(ar.namewhat, "method") == 0) { narg--; /* do not count `self' */ if (narg == 0) /* error is in the self argument itself? */ return luaL_error(L, "calling " LUA_QS " on bad self (%s)", ar.name, extramsg); } if (ar.name == NULL) ar.name = "?"; return luaL_error(L, "bad argument #%d to " LUA_QS " (%s)", narg, ar.name, extramsg); } LUALIB_API int luaL_typerror (lua_State *L, int narg, const char *tname) { const char *msg = lua_pushfstring(L, "%s expected, got %s", tname, luaL_typename(L, narg)); return luaL_argerror(L, narg, msg); } static void tag_error (lua_State *L, int narg, int tag) { luaL_typerror(L, narg, lua_typename(L, tag)); } LUALIB_API void luaL_where (lua_State *L, int level) { lua_Debug ar; if (lua_getstack(L, level, &ar)) { /* check function at level */ lua_getinfo(L, "Sl", &ar); /* get info about it */ if (ar.currentline > 0) { /* is there info? */ lua_pushfstring(L, "%s:%d: ", ar.short_src, ar.currentline); return; } } lua_pushliteral(L, ""); /* else, no information available... */ } LUALIB_API int luaL_error (lua_State *L, const char *fmt, ...) { va_list argp; va_start(argp, fmt); luaL_where(L, 1); lua_pushvfstring(L, fmt, argp); va_end(argp); lua_concat(L, 2); return lua_error(L); } /* }====================================================== */ LUALIB_API int luaL_checkoption (lua_State *L, int narg, const char *def, const char *const lst[]) { const char *name = (def) ? luaL_optstring(L, narg, def) : luaL_checkstring(L, narg); int i; for (i=0; lst[i]; i++) if (strcmp(lst[i], name) == 0) return i; return luaL_argerror(L, narg, lua_pushfstring(L, "invalid option " LUA_QS, name)); } LUALIB_API int luaL_newmetatable (lua_State *L, const char *tname) { lua_getfield(L, LUA_REGISTRYINDEX, tname); /* get registry.name */ if (!lua_isnil(L, -1)) /* name already in use? */ return 0; /* leave previous value on top, but return 0 */ lua_pop(L, 1); lua_newtable(L); /* create metatable */ lua_pushvalue(L, -1); lua_setfield(L, LUA_REGISTRYINDEX, tname); /* registry.name = metatable */ return 1; } LUALIB_API void *luaL_checkudata (lua_State *L, int ud, const char *tname) { void *p = lua_touserdata(L, ud); if (p != NULL) { /* value is a userdata? */ if (lua_getmetatable(L, ud)) { /* does it have a metatable? */ lua_getfield(L, LUA_REGISTRYINDEX, tname); /* get correct metatable */ if (lua_rawequal(L, -1, -2)) { /* does it have the correct mt? */ lua_pop(L, 2); /* remove both metatables */ return p; } } } luaL_typerror(L, ud, tname); /* else error */ return NULL; /* to avoid warnings */ } LUALIB_API void luaL_checkstack (lua_State *L, int space, const char *mes) { if (!lua_checkstack(L, space)) luaL_error(L, "stack overflow (%s)", mes); } LUALIB_API void luaL_checktype (lua_State *L, int narg, int t) { if (lua_type(L, narg) != t) tag_error(L, narg, t); } LUALIB_API void luaL_checkany (lua_State *L, int narg) { if (lua_type(L, narg) == LUA_TNONE) luaL_argerror(L, narg, "value expected"); } LUALIB_API const char *luaL_checklstring (lua_State *L, int narg, size_t *len) { const char *s = lua_tolstring(L, narg, len); if (!s) tag_error(L, narg, LUA_TSTRING); return s; } LUALIB_API const char *luaL_optlstring (lua_State *L, int narg, const char *def, size_t *len) { if (lua_isnoneornil(L, narg)) { if (len) *len = (def ? strlen(def) : 0); return def; } else return luaL_checklstring(L, narg, len); } LUALIB_API lua_Number luaL_checknumber (lua_State *L, int narg) { lua_Number d = lua_tonumber(L, narg); if (d == 0 && !lua_isnumber(L, narg)) /* avoid extra test when d is not 0 */ tag_error(L, narg, LUA_TNUMBER); return d; } LUALIB_API lua_Number luaL_optnumber (lua_State *L, int narg, lua_Number def) { return luaL_opt(L, luaL_checknumber, narg, def); } LUALIB_API lua_Integer luaL_checkinteger (lua_State *L, int narg) { lua_Integer d = lua_tointeger(L, narg); if (d == 0 && !lua_isnumber(L, narg)) /* avoid extra test when d is not 0 */ tag_error(L, narg, LUA_TNUMBER); return d; } LUALIB_API lua_Integer luaL_optinteger (lua_State *L, int narg, lua_Integer def) { return luaL_opt(L, luaL_checkinteger, narg, def); } LUALIB_API int luaL_getmetafield (lua_State *L, int obj, const char *event) { if (!lua_getmetatable(L, obj)) /* no metatable? */ return 0; lua_pushstring(L, event); lua_rawget(L, -2); if (lua_isnil(L, -1)) { lua_pop(L, 2); /* remove metatable and metafield */ return 0; } else { lua_remove(L, -2); /* remove only metatable */ return 1; } } LUALIB_API int luaL_callmeta (lua_State *L, int obj, const char *event) { obj = abs_index(L, obj); if (!luaL_getmetafield(L, obj, event)) /* no metafield? */ return 0; lua_pushvalue(L, obj); lua_call(L, 1, 1); return 1; } LUALIB_API void (luaL_register) (lua_State *L, const char *libname, const luaL_Reg *l) { luaI_openlib(L, libname, l, 0); } static int libsize (const luaL_Reg *l) { int size = 0; for (; l->name; l++) size++; return size; } LUALIB_API void luaI_openlib (lua_State *L, const char *libname, const luaL_Reg *l, int nup) { if (libname) { int size = libsize(l); /* check whether lib already exists */ luaL_findtable(L, LUA_REGISTRYINDEX, "_LOADED", 1); lua_getfield(L, -1, libname); /* get _LOADED[libname] */ if (!lua_istable(L, -1)) { /* not found? */ lua_pop(L, 1); /* remove previous result */ /* try global variable (and create one if it does not exist) */ if (luaL_findtable(L, LUA_GLOBALSINDEX, libname, size) != NULL) luaL_error(L, "name conflict for module " LUA_QS, libname); lua_pushvalue(L, -1); lua_setfield(L, -3, libname); /* _LOADED[libname] = new table */ } lua_remove(L, -2); /* remove _LOADED table */ lua_insert(L, -(nup+1)); /* move library table to below upvalues */ } for (; l->name; l++) { int i; for (i=0; i<nup; i++) /* copy upvalues to the top */ lua_pushvalue(L, -nup); lua_pushcclosure(L, l->func, nup); lua_setfield(L, -(nup+2), l->name); } lua_pop(L, nup); /* remove upvalues */ } /* ** {====================================================== ** getn-setn: size for arrays ** ======================================================= */ #if defined(LUA_COMPAT_GETN) static int checkint (lua_State *L, int topop) { int n = (lua_type(L, -1) == LUA_TNUMBER) ? lua_tointeger(L, -1) : -1; lua_pop(L, topop); return n; } static void getsizes (lua_State *L) { lua_getfield(L, LUA_REGISTRYINDEX, "LUA_SIZES"); if (lua_isnil(L, -1)) { /* no `size' table? */ lua_pop(L, 1); /* remove nil */ lua_newtable(L); /* create it */ lua_pushvalue(L, -1); /* `size' will be its own metatable */ lua_setmetatable(L, -2); lua_pushliteral(L, "kv"); lua_setfield(L, -2, "__mode"); /* metatable(N).__mode = "kv" */ lua_pushvalue(L, -1); lua_setfield(L, LUA_REGISTRYINDEX, "LUA_SIZES"); /* store in register */ } } LUALIB_API void luaL_setn (lua_State *L, int t, int n) { t = abs_index(L, t); lua_pushliteral(L, "n"); lua_rawget(L, t); if (checkint(L, 1) >= 0) { /* is there a numeric field `n'? */ lua_pushliteral(L, "n"); /* use it */ lua_pushinteger(L, n); lua_rawset(L, t); } else { /* use `sizes' */ getsizes(L); lua_pushvalue(L, t); lua_pushinteger(L, n); lua_rawset(L, -3); /* sizes[t] = n */ lua_pop(L, 1); /* remove `sizes' */ } } LUALIB_API int luaL_getn (lua_State *L, int t) { int n; t = abs_index(L, t); lua_pushliteral(L, "n"); /* try t.n */ lua_rawget(L, t); if ((n = checkint(L, 1)) >= 0) return n; getsizes(L); /* else try sizes[t] */ lua_pushvalue(L, t); lua_rawget(L, -2); if ((n = checkint(L, 2)) >= 0) return n; return (int)lua_objlen(L, t); } #endif /* }====================================================== */ LUALIB_API const char *luaL_gsub (lua_State *L, const char *s, const char *p, const char *r) { const char *wild; size_t l = strlen(p); luaL_Buffer b; luaL_buffinit(L, &b); while ((wild = strstr(s, p)) != NULL) { luaL_addlstring(&b, s, wild - s); /* push prefix */ luaL_addstring(&b, r); /* push replacement in place of pattern */ s = wild + l; /* continue after `p' */ } luaL_addstring(&b, s); /* push last suffix */ luaL_pushresult(&b); return lua_tostring(L, -1); } LUALIB_API const char *luaL_findtable (lua_State *L, int idx, const char *fname, int szhint) { const char *e; lua_pushvalue(L, idx); do { e = strchr(fname, '.'); if (e == NULL) e = fname + strlen(fname); lua_pushlstring(L, fname, e - fname); lua_rawget(L, -2); if (lua_isnil(L, -1)) { /* no such field? */ lua_pop(L, 1); /* remove this nil */ lua_createtable(L, 0, (*e == '.' ? 1 : szhint)); /* new table for field */ lua_pushlstring(L, fname, e - fname); lua_pushvalue(L, -2); lua_settable(L, -4); /* set new table into field */ } else if (!lua_istable(L, -1)) { /* field has a non-table value? */ lua_pop(L, 2); /* remove table and value */ return fname; /* return problematic part of the name */ } lua_remove(L, -2); /* remove previous table */ fname = e + 1; } while (*e == '.'); return NULL; } /* ** {====================================================== ** Generic Buffer manipulation ** ======================================================= */ #define bufflen(B) ((B)->p - (B)->buffer) #define bufffree(B) ((size_t)(LUAL_BUFFERSIZE - bufflen(B))) #define LIMIT (LUA_MINSTACK/2) static int emptybuffer (luaL_Buffer *B) { size_t l = bufflen(B); if (l == 0) return 0; /* put nothing on stack */ else { lua_pushlstring(B->L, B->buffer, l); B->p = B->buffer; B->lvl++; return 1; } } static void adjuststack (luaL_Buffer *B) { if (B->lvl > 1) { lua_State *L = B->L; int toget = 1; /* number of levels to concat */ size_t toplen = lua_strlen(L, -1); do { size_t l = lua_strlen(L, -(toget+1)); if (B->lvl - toget + 1 >= LIMIT || toplen > l) { toplen += l; toget++; } else break; } while (toget < B->lvl); lua_concat(L, toget); B->lvl = B->lvl - toget + 1; } } LUALIB_API char *luaL_prepbuffer (luaL_Buffer *B) { if (emptybuffer(B)) adjuststack(B); return B->buffer; } LUALIB_API void luaL_addlstring (luaL_Buffer *B, const char *s, size_t l) { while (l--) luaL_addchar(B, *s++); } LUALIB_API void luaL_addstring (luaL_Buffer *B, const char *s) { luaL_addlstring(B, s, strlen(s)); } LUALIB_API void luaL_pushresult (luaL_Buffer *B) { emptybuffer(B); lua_concat(B->L, B->lvl); B->lvl = 1; } LUALIB_API void luaL_addvalue (luaL_Buffer *B) { lua_State *L = B->L; size_t vl; const char *s = lua_tolstring(L, -1, &vl); if (vl <= bufffree(B)) { /* fit into buffer? */ memcpy(B->p, s, vl); /* put it there */ B->p += vl; lua_pop(L, 1); /* remove from stack */ } else { if (emptybuffer(B)) lua_insert(L, -2); /* put buffer before new value */ B->lvl++; /* add new value into B stack */ adjuststack(B); } } LUALIB_API void luaL_buffinit (lua_State *L, luaL_Buffer *B) { B->L = L; B->p = B->buffer; B->lvl = 0; } /* }====================================================== */ LUALIB_API int luaL_ref (lua_State *L, int t) { int ref; t = abs_index(L, t); if (lua_isnil(L, -1)) { lua_pop(L, 1); /* remove from stack */ return LUA_REFNIL; /* `nil' has a unique fixed reference */ } lua_rawgeti(L, t, FREELIST_REF); /* get first free element */ ref = (int)lua_tointeger(L, -1); /* ref = t[FREELIST_REF] */ lua_pop(L, 1); /* remove it from stack */ if (ref != 0) { /* any free element? */ lua_rawgeti(L, t, ref); /* remove it from list */ lua_rawseti(L, t, FREELIST_REF); /* (t[FREELIST_REF] = t[ref]) */ } else { /* no free elements */ ref = (int)lua_objlen(L, t); ref++; /* create new reference */ } lua_rawseti(L, t, ref); return ref; } LUALIB_API void luaL_unref (lua_State *L, int t, int ref) { if (ref >= 0) { t = abs_index(L, t); lua_rawgeti(L, t, FREELIST_REF); lua_rawseti(L, t, ref); /* t[ref] = t[FREELIST_REF] */ lua_pushinteger(L, ref); lua_rawseti(L, t, FREELIST_REF); /* t[FREELIST_REF] = ref */ } } /* ** {====================================================== ** Load functions ** ======================================================= */ typedef struct LoadF { int extraline; FILE *f; char buff[LUAL_BUFFERSIZE]; } LoadF; static const char *getF (lua_State *L, void *ud, size_t *size) { LoadF *lf = (LoadF *)ud; (void)L; if (lf->extraline) { lf->extraline = 0; *size = 1; return "\n"; } if (feof(lf->f)) return NULL; *size = fread(lf->buff, 1, sizeof(lf->buff), lf->f); return (*size > 0) ? lf->buff : NULL; } static int errfile (lua_State *L, const char *what, int fnameindex) { const char *serr = strerror(errno); const char *filename = lua_tostring(L, fnameindex) + 1; lua_pushfstring(L, "cannot %s %s: %s", what, filename, serr); lua_remove(L, fnameindex); return LUA_ERRFILE; } LUALIB_API int luaL_loadfile (lua_State *L, const char *filename) { LoadF lf; int status, readstatus; int c; int fnameindex = lua_gettop(L) + 1; /* index of filename on the stack */ lf.extraline = 0; if (filename == NULL) { lua_pushliteral(L, "=stdin"); lf.f = stdin; } else { lua_pushfstring(L, "@%s", filename); lf.f = fopen(filename, "r"); if (lf.f == NULL) return errfile(L, "open", fnameindex); } c = getc(lf.f); if (c == '#') { /* Unix exec. file? */ lf.extraline = 1; while ((c = getc(lf.f)) != EOF && c != '\n') ; /* skip first line */ if (c == '\n') c = getc(lf.f); } if (c == LUA_SIGNATURE[0] && filename) { /* binary file? */ lf.f = freopen(filename, "rb", lf.f); /* reopen in binary mode */ if (lf.f == NULL) return errfile(L, "reopen", fnameindex); /* skip eventual `#!...' */ while ((c = getc(lf.f)) != EOF && c != LUA_SIGNATURE[0]) {} lf.extraline = 0; } ungetc(c, lf.f); status = lua_load(L, getF, &lf, lua_tostring(L, -1)); readstatus = ferror(lf.f); if (filename) fclose(lf.f); /* close file (even in case of errors) */ if (readstatus) { lua_settop(L, fnameindex); /* ignore results from `lua_load' */ return errfile(L, "read", fnameindex); } lua_remove(L, fnameindex); return status; } typedef struct LoadS { const char *s; size_t size; } LoadS; static const char *getS (lua_State *L, void *ud, size_t *size) { LoadS *ls = (LoadS *)ud; (void)L; if (ls->size == 0) return NULL; *size = ls->size; ls->size = 0; return ls->s; } LUALIB_API int luaL_loadbuffer (lua_State *L, const char *buff, size_t size, const char *name) { LoadS ls; ls.s = buff; ls.size = size; return lua_load(L, getS, &ls, name); } LUALIB_API int (luaL_loadstring) (lua_State *L, const char *s) { return luaL_loadbuffer(L, s, strlen(s), s); } /* }====================================================== */ static void *l_alloc (void *ud, void *ptr, size_t osize, size_t nsize) { (void)ud; (void)osize; if (nsize == 0) { free(ptr); return NULL; } else return realloc(ptr, nsize); } static int panic (lua_State *L) { (void)L; /* to avoid warnings */ fprintf(stderr, "PANIC: unprotected error in call to Lua API (%s)\n", lua_tostring(L, -1)); return 0; } LUALIB_API lua_State *luaL_newstate (void) { lua_State *L = lua_newstate(l_alloc, NULL); if (L) lua_atpanic(L, &panic); return L; }

generated by cgit v1.2.3 (git 2.39.1) at 2025-02-15 18:05:09 +0000

/* mini-gmp, a minimalistic implementation of a GNU GMP subset.

   Contributed to the GNU project by Niels Möller

Copyright 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1999, 2000, 2001,
2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013
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/.  */

/* NOTE: All functions in this file which are not declared in
   mini-gmp.h are internal, and are not intended to be compatible
   neither with GMP nor with future versions of mini-gmp. */

/* Much of the material copied from GMP files, including: gmp-impl.h,
   longlong.h, mpn/generic/add_n.c, mpn/generic/addmul_1.c,
   mpn/generic/lshift.c, mpn/generic/mul_1.c,
   mpn/generic/mul_basecase.c, mpn/generic/rshift.c,
   mpn/generic/sbpi1_div_qr.c, mpn/generic/sub_n.c,
   mpn/generic/submul_1.c. */

#include <assert.h>
#include <ctype.h>
#include <limits.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include "mini-gmp.h"


/* Macros */
#define GMP_LIMB_BITS (sizeof(mp_limb_t) * CHAR_BIT)

#define GMP_LIMB_MAX (~ (mp_limb_t) 0)
#define GMP_LIMB_HIGHBIT ((mp_limb_t) 1 << (GMP_LIMB_BITS - 1))

#define GMP_HLIMB_BIT ((mp_limb_t) 1 << (GMP_LIMB_BITS / 2))
#define GMP_LLIMB_MASK (GMP_HLIMB_BIT - 1)

#define GMP_ULONG_BITS (sizeof(unsigned long) * CHAR_BIT)
#define GMP_ULONG_HIGHBIT ((unsigned long) 1 << (GMP_ULONG_BITS - 1))

#define GMP_ABS(x) ((x) >= 0 ? (x) : -(x))
#define GMP_NEG_CAST(T,x) (-((T)((x) + 1) - 1))

#define GMP_MIN(a, b) ((a) < (b) ? (a) : (b))
#define GMP_MAX(a, b) ((a) > (b) ? (a) : (b))

#define gmp_assert_nocarry(x) do { \
    mp_limb_t __cy = x;		   \
    assert (__cy == 0);		   \
  } while (0)

#define gmp_clz(count, x) do {						\
    mp_limb_t __clz_x = (x);						\
    unsigned __clz_c;							\
    for (__clz_c = 0;							\
	 (__clz_x & ((mp_limb_t) 0xff << (GMP_LIMB_BITS - 8))) == 0;	\
	 __clz_c += 8)							\
      __clz_x <<= 8;							\
    for (; (__clz_x & GMP_LIMB_HIGHBIT) == 0; __clz_c++)		\
      __clz_x <<= 1;							\
    (count) = __clz_c;							\
  } while (0)

#define gmp_ctz(count, x) do {						\
    mp_limb_t __ctz_x = (x);						\
    unsigned __ctz_c = 0;						\
    gmp_clz (__ctz_c, __ctz_x & - __ctz_x);				\
    (count) = GMP_LIMB_BITS - 1 - __ctz_c;				\
  } while (0)

#define gmp_add_ssaaaa(sh, sl, ah, al, bh, bl) \
  do {									\
    mp_limb_t __x;							\
    __x = (al) + (bl);							\
    (sh) = (ah) + (bh) + (__x < (al));					\
    (sl) = __x;								\
  } while (0)

#define gmp_sub_ddmmss(sh, sl, ah, al, bh, bl) \
  do {									\
    mp_limb_t __x;							\
    __x = (al) - (bl);							\
    (sh) = (ah) - (bh) - ((al) < (bl));					\
    (sl) = __x;								\
  } while (0)

#define gmp_umul_ppmm(w1, w0, u, v)					\
  do {									\
    mp_limb_t __x0, __x1, __x2, __x3;					\
    unsigned __ul, __vl, __uh, __vh;					\
    mp_limb_t __u = (u), __v = (v);					\
									\
    __ul = __u & GMP_LLIMB_MASK;					\
    __uh = __u >> (GMP_LIMB_BITS / 2);					\
    __vl = __v & GMP_LLIMB_MASK;					\
    __vh = __v >> (GMP_LIMB_BITS / 2);					\
									\
    __x0 = (mp_limb_t) __ul * __vl;					\
    __x1 = (mp_limb_t) __ul * __vh;					\
    __x2 = (mp_limb_t) __uh * __vl;					\
    __x3 = (mp_limb_t) __uh * __vh;					\
									\
    __x1 += __x0 >> (GMP_LIMB_BITS / 2);/* this can't give carry */	\
    __x1 += __x2;		/* but this indeed can */		\
    if (__x1 < __x2)		/* did we get it? */			\
      __x3 += GMP_HLIMB_BIT;	/* yes, add it in the proper pos. */	\
									\
    (w1) = __x3 + (__x1 >> (GMP_LIMB_BITS / 2));			\
    (w0) = (__x1 << (GMP_LIMB_BITS / 2)) + (__x0 & GMP_LLIMB_MASK);	\
  } while (0)

#define gmp_udiv_qrnnd_preinv(q, r, nh, nl, d, di)			\
  do {									\
    mp_limb_t _qh, _ql, _r, _mask;					\
    gmp_umul_ppmm (_qh, _ql, (nh), (di));				\
    gmp_add_ssaaaa (_qh, _ql, _qh, _ql, (nh) + 1, (nl));		\
    _r = (nl) - _qh * (d);						\
    _mask = -(mp_limb_t) (_r > _ql); /* both > and >= are OK */		\
    _qh += _mask;							\
    _r += _mask & (d);							\
    if (_r >= (d))							\
      {									\
	_r -= (d);							\
	_qh++;								\
      }									\
									\
    (r) = _r;								\
    (q) = _qh;								\
  } while (0)

#define gmp_udiv_qr_3by2(q, r1, r0, n2, n1, n0, d1, d0, dinv)		\
  do {									\
    mp_limb_t _q0, _t1, _t0, _mask;					\
    gmp_umul_ppmm ((q), _q0, (n2), (dinv));				\
    gmp_add_ssaaaa ((q), _q0, (q), _q0, (n2), (n1));			\
									\
    /* Compute the two most significant limbs of n - q'd */		\
    (r1) = (n1) - (d1) * (q);						\
    gmp_sub_ddmmss ((r1), (r0), (r1), (n0), (d1), (d0));		\
    gmp_umul_ppmm (_t1, _t0, (d0), (q));				\
    gmp_sub_ddmmss ((r1), (r0), (r1), (r0), _t1, _t0);			\
    (q)++;								\
									\
    /* Conditionally adjust q and the remainders */			\
    _mask = - (mp_limb_t) ((r1) >= _q0);				\
    (q) += _mask;							\
    gmp_add_ssaaaa ((r1), (r0), (r1), (r0), _mask & (d1), _mask & (d0)); \
    if ((r1) >= (d1))							\
      {									\
	if ((r1) > (d1) || (r0) >= (d0))				\
	  {								\
	    (q)++;							\
	    gmp_sub_ddmmss ((r1), (r0), (r1), (r0), (d1), (d0));	\
	  }								\
      }									\
  } while (0)

/* Swap macros. */
#define MP_LIMB_T_SWAP(x, y)						\
  do {									\
    mp_limb_t __mp_limb_t_swap__tmp = (x);				\
    (x) = (y);								\
    (y) = __mp_limb_t_swap__tmp;					\
  } while (0)
#define MP_SIZE_T_SWAP(x, y)						\
  do {									\
    mp_size_t __mp_size_t_swap__tmp = (x);				\
    (x) = (y);								\
    (y) = __mp_size_t_swap__tmp;					\
  } while (0)
#define MP_BITCNT_T_SWAP(x,y)			\
  do {						\
    mp_bitcnt_t __mp_bitcnt_t_swap__tmp = (x);	\
    (x) = (y);					\
    (y) = __mp_bitcnt_t_swap__tmp;		\
  } while (0)
#define MP_PTR_SWAP(x, y)						\
  do {									\
    mp_ptr __mp_ptr_swap__tmp = (x);					\
    (x) = (y);								\
    (y) = __mp_ptr_swap__tmp;						\
  } while (0)
#define MP_SRCPTR_SWAP(x, y)						\
  do {									\
    mp_srcptr __mp_srcptr_swap__tmp = (x);				\
    (x) = (y);								\
    (y) = __mp_srcptr_swap__tmp;					\
  } while (0)

#define MPN_PTR_SWAP(xp,xs, yp,ys)					\
  do {									\
    MP_PTR_SWAP (xp, yp);						\
    MP_SIZE_T_SWAP (xs, ys);						\
  } while(0)
#define MPN_SRCPTR_SWAP(xp,xs, yp,ys)					\
  do {									\
    MP_SRCPTR_SWAP (xp, yp);						\
    MP_SIZE_T_SWAP (xs, ys);						\
  } while(0)

#define MPZ_PTR_SWAP(x, y)						\
  do {									\
    mpz_ptr __mpz_ptr_swap__tmp = (x);					\
    (x) = (y);								\
    (y) = __mpz_ptr_swap__tmp;						\
  } while (0)
#define MPZ_SRCPTR_SWAP(x, y)						\
  do {									\
    mpz_srcptr __mpz_srcptr_swap__tmp = (x);			\
    (x) = (y);								\
    (y) = __mpz_srcptr_swap__tmp;					\
  } while (0)


/* Memory allocation and other helper functions. */
static void
gmp_die (const char *msg)
{
  fprintf (stderr, "%s\n", msg);
  abort();
}

static void *
gmp_default_alloc (size_t size)
{
  void *p;

  assert (size > 0);

  p = malloc (size);
  if (!p)
    gmp_die("gmp_default_alloc: Virtual memory exhausted.");

  return p;
}

static void *
gmp_default_realloc (void *old, size_t old_size, size_t new_size)
{
  mp_ptr p;

  p = realloc (old, new_size);

  if (!p)
    gmp_die("gmp_default_realoc: Virtual memory exhausted.");

  return p;
}

static void
gmp_default_free (void *p, size_t size)
{
  free (p);
}

static void * (*gmp_allocate_func) (size_t) = gmp_default_alloc;
static void * (*gmp_reallocate_func) (void *, size_t, size_t) = gmp_default_realloc;
static void (*gmp_free_func) (void *, size_t) = gmp_default_free;

void
mp_get_memory_functions (void *(**alloc_func) (size_t),
			 void *(**realloc_func) (void *, size_t, size_t),
			 void (**free_func) (void *, size_t))
{
  if (alloc_func)
    *alloc_func = gmp_allocate_func;

  if (realloc_func)
    *realloc_func = gmp_reallocate_func;

  if (free_func)
    *free_func = gmp_free_func;
}

void
mp_set_memory_functions (void *(*alloc_func) (size_t),
			 void *(*realloc_func) (void *, size_t, size_t),
			 void (*free_func) (void *, size_t))
{
  if (!alloc_func)
    alloc_func = gmp_default_alloc;
  if (!realloc_func)
    realloc_func = gmp_default_realloc;
  if (!free_func)
    free_func = gmp_default_free;

  gmp_allocate_func = alloc_func;
  gmp_reallocate_func = realloc_func;
  gmp_free_func = free_func;
}

#define gmp_xalloc(size) ((*gmp_allocate_func)((size)))
#define gmp_free(p) ((*gmp_free_func) ((p), 0))

static mp_ptr
gmp_xalloc_limbs (mp_size_t size)
{
  return gmp_xalloc (size * sizeof (mp_limb_t));
}

static mp_ptr
gmp_xrealloc_limbs (mp_ptr old, mp_size_t size)
{
  assert (size > 0);
  return (*gmp_reallocate_func) (old, 0, size * sizeof (mp_limb_t));
}


/* MPN interface */

void
mpn_copyi (mp_ptr d, mp_srcptr s, mp_size_t n)
{
  mp_size_t i;
  for (i = 0; i < n; i++)
    d[i] = s[i];
}

void
mpn_copyd (mp_ptr d, mp_srcptr s, mp_size_t n)
{
  while (n-- > 0)
    d[n] = s[n];
}

int
mpn_cmp (mp_srcptr ap, mp_srcptr bp, mp_size_t n)
{
  for (; n > 0; n--)
    {
      if (ap[n-1] < bp[n-1])
	return -1;
      else if (ap[n-1] > bp[n-1])
	return 1;
    }
  return 0;
}

static int
mpn_cmp4 (mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
{
  if (an > bn)
    return 1;
  else if (an < bn)
    return -1;
  else
    return mpn_cmp (ap, bp, an);
}

static mp_size_t
mpn_normalized_size (mp_srcptr xp, mp_size_t n)
{
  for (; n > 0 && xp[n-1] == 0; n--)
    ;
  return n;
}

#define mpn_zero_p(xp, n) (mpn_normalized_size ((xp), (n)) == 0)

mp_limb_t
mpn_add_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
{
  mp_size_t i;

  assert (n > 0);

  for (i = 0; i < n; i++)
    {
      mp_limb_t r = ap[i] + b;
      /* Carry out */
      b = (r < b);
      rp[i] = r;
    }
  return b;
}

mp_limb_t
mpn_add_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n)
{
  mp_size_t i;
  mp_limb_t cy;

  for (i = 0, cy = 0; i < n; i++)
    {
      mp_limb_t a, b, r;
      a = ap[i]; b = bp[i];
      r = a + cy;
      cy = (r < cy);
      r += b;
      cy += (r < b);
      rp[i] = r;
    }
  return cy;
}

mp_limb_t
mpn_add (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
{
  mp_limb_t cy;

  assert (an >= bn);

  cy = mpn_add_n (rp, ap, bp, bn);
  if (an > bn)
    cy = mpn_add_1 (rp + bn, ap + bn, an - bn, cy);
  return cy;
}

mp_limb_t
mpn_sub_1 (mp_ptr rp, mp_srcptr ap, mp_size_t n, mp_limb_t b)
{
  mp_size_t i;

  assert (n > 0);

  for (i = 0; i < n; i++)
    {
      mp_limb_t a = ap[i];
      /* Carry out */
      mp_limb_t cy = a < b;;
      rp[i] = a - b;
      b = cy;
    }
  return b;
}

mp_limb_t
mpn_sub_n (mp_ptr rp, mp_srcptr ap, mp_srcptr bp, mp_size_t n)
{
  mp_size_t i;
  mp_limb_t cy;

  for (i = 0, cy = 0; i < n; i++)
    {
      mp_limb_t a, b;
      a = ap[i]; b = bp[i];
      b += cy;
      cy = (b < cy);
      cy += (a < b);
      rp[i] = a - b;
    }
  return cy;
}

mp_limb_t
mpn_sub (mp_ptr rp, mp_srcptr ap, mp_size_t an, mp_srcptr bp, mp_size_t bn)
{
  mp_limb_t cy;

  assert (an >= bn);

  cy = mpn_sub_n (rp, ap, bp, bn);
  if (an > bn)
    cy = mpn_sub_1 (rp + bn, ap + bn, an - bn, cy);
  return cy;
}

mp_limb_t
mpn_mul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl)
{
  mp_limb_t ul, cl, hpl, lpl;

  assert (n >= 1);

  cl = 0;
  do
    {
      ul = *up++;
      gmp_umul_ppmm (hpl, lpl, ul, vl);

      lpl += cl;
      cl = (lpl < cl) + hpl;

      *rp++ = lpl;
    }
  while (--n != 0);

  return cl;
}

mp_limb_t
mpn_addmul_1 (mp_ptr rp, mp_srcptr up, mp_size_t n, mp_limb_t vl)
{
  mp_limb_t ul, cl, hpl, lpl, rl;

  assert (n >= 1);

  cl = 0;
  do
    {
      ul = *up++;
      gmp_umul_ppmm (hpl, lpl, ul, vl);

      lpl += cl;