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1860 lines
41 KiB
C
1860 lines
41 KiB
C
/***********************************************************
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Copyright 1991-1995 by Stichting Mathematisch Centrum, Amsterdam,
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The Netherlands.
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All Rights Reserved
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Permission to use, copy, modify, and distribute this software and its
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documentation for any purpose and without fee is hereby granted,
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provided that the above copyright notice appear in all copies and that
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both that copyright notice and this permission notice appear in
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supporting documentation, and that the names of Stichting Mathematisch
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Centrum or CWI or Corporation for National Research Initiatives or
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CNRI not be used in advertising or publicity pertaining to
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distribution of the software without specific, written prior
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permission.
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While CWI is the initial source for this software, a modified version
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is made available by the Corporation for National Research Initiatives
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(CNRI) at the Internet address ftp://ftp.python.org.
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STICHTING MATHEMATISCH CENTRUM AND CNRI DISCLAIM ALL WARRANTIES WITH
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REGARD TO THIS SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF
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MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL STICHTING MATHEMATISCH
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CENTRUM OR CNRI BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL
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DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
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PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
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TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
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PERFORMANCE OF THIS SOFTWARE.
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******************************************************************/
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/* MPZ module */
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/* This module provides an interface to an alternate Multi-Precision
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library, GNU MP in this case */
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/* XXX note: everywhere where mpz_size is called,
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sizeof (limb) == sizeof (long) has been assumed. */
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/* MPZ objects */
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#include "Python.h"
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#include <assert.h>
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#include <sys/types.h> /* For size_t */
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/*
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** These are the cpp-flags used in this file...
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**
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**
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** MPZ_MDIV_BUG works around the mpz_m{div,mod,...} routines.
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** This bug has been fixed in a later release of
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** GMP.
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**
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** MPZ_GET_STR_BUG mpz_get_str corrupts memory, seems to be fixed
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** in a later release
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**
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** MPZ_DEBUG generates a bunch of diagnostic messages
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**
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** MPZ_SPARE_MALLOC if set, results in extra code that tries to
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** minimize the creation of extra objects.
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**
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** MPZ_TEST_DIV extra diagnostic output on stderr, when division
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** routines are involved
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**
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** MPZ_LIB_DOES_CHECKING if set, assumes that mpz library doesn't call
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** alloca with arg < 0 (when casted to a signed
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** integral type).
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**
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** MPZ_CONVERSIONS_AS_METHODS if set, presents the conversions as
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** methods. e.g., `mpz(5).long() == 5L'
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** Later, Guido provided an interface to the
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** standard functions. So this flag has no been
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** cleared, and `long(mpz(5)) == 5L'
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**
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** MP_TEST_ALLOC If set, you would discover why MPZ_GET_STR_BUG
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** is needed
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**
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** MAKEDUMMYINT Must be set if dynamic linking will be used
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*/
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/*
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** IMHO, mpz_m{div,mod,divmod}() do the wrong things when the denominator < 0
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** This has been fixed with gmp release 2.0
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*/
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/*#define MPZ_MDIV_BUG fixed the (for me) nexessary parts in libgmp.a */
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/*
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** IMO, mpz_get_str() assumes a bit too large target space, if he doesn't
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** allocate it himself
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*/
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#include "gmp.h"
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#include "gmp-mparam.h"
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#if __GNU_MP__ + 0 == 2
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#define GMP2
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#else
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#define MPZ_GET_STR_BUG
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#endif
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typedef struct {
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PyObject_HEAD
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MP_INT mpz; /* the actual number */
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} mpzobject;
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staticforward PyTypeObject MPZtype;
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#define is_mpzobject(v) ((v)->ob_type == &MPZtype)
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static const char initialiser_name[] = "mpz";
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/* #define MPZ_DEBUG */
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static mpzobject *
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newmpzobject()
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{
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mpzobject *mpzp;
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#ifdef MPZ_DEBUG
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fputs( "mpz_object() called...\n", stderr );
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#endif /* def MPZ_DEBUG */
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mpzp = PyObject_NEW(mpzobject, &MPZtype);
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if (mpzp == NULL)
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return NULL;
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mpz_init(&mpzp->mpz); /* actual initialisation */
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return mpzp;
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} /* newmpzobject() */
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#ifdef MPZ_GET_STR_BUG
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#include "longlong.h"
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#endif /* def MPZ_GET_STR_BUG */
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static PyObject *
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mpz_format(objp, base, withname)
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PyObject *objp;
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int base;
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unsigned char withname;
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{
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mpzobject *mpzp = (mpzobject *)objp;
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PyStringObject *strobjp;
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int i;
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int cmpres;
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int taglong;
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char *cp;
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char prefix[5], *tcp;
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tcp = &prefix[0];
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if (mpzp == NULL || !is_mpzobject(mpzp)) {
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PyErr_BadInternalCall();
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return NULL;
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}
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assert(base >= 2 && base <= 36);
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if (withname)
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i = strlen(initialiser_name) + 2; /* e.g. 'mpz(' + ')' */
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else
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i = 0;
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if ((cmpres = mpz_cmp_si(&mpzp->mpz, 0L)) == 0)
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base = 10; /* '0' in every base, right */
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else if (cmpres < 0) {
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*tcp++ = '-';
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i += 1; /* space to hold '-' */
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}
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#ifdef MPZ_DEBUG
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fprintf(stderr, "mpz_format: mpz_sizeinbase %d\n",
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(int)mpz_sizeinbase(&mpzp->mpz, base));
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#endif /* def MPZ_DEBUG */
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#ifdef MPZ_GET_STR_BUG
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#ifdef GMP2
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i += ((size_t) abs(mpzp->mpz._mp_size) * BITS_PER_MP_LIMB
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* __mp_bases[base].chars_per_bit_exactly) + 1;
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#else
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i += ((size_t) abs(mpzp->mpz.size) * BITS_PER_MP_LIMB
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* __mp_bases[base].chars_per_bit_exactly) + 1;
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#endif
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#else /* def MPZ_GET_STR_BUG */
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i += (int)mpz_sizeinbase(&mpzp->mpz, base);
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#endif /* def MPZ_GET_STR_BUG else */
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if (base == 16) {
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*tcp++ = '0';
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*tcp++ = 'x';
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i += 2; /* space to hold '0x' */
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}
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else if (base == 8) {
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*tcp++ = '0';
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i += 1; /* space to hold the extra '0' */
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}
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else if (base > 10) {
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*tcp++ = '0' + base / 10;
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*tcp++ = '0' + base % 10;
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*tcp++ = '#';
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i += 3; /* space to hold e.g. '12#' */
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}
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else if (base < 10) {
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*tcp++ = '0' + base;
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*tcp++ = '#';
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i += 2; /* space to hold e.g. '6#' */
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}
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/*
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** the following code looks if we need a 'L' attached to the number
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** it will also attach an 'L' to the value -0x80000000
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*/
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taglong = 0;
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if (mpz_size(&mpzp->mpz) > 1
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|| (long)mpz_get_ui(&mpzp->mpz) < 0L) {
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taglong = 1;
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i += 1; /* space to hold 'L' */
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}
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#ifdef MPZ_DEBUG
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fprintf(stderr, "mpz_format: requesting string size %d\n", i);
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#endif /* def MPZ_DEBUG */
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if ((strobjp =
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(PyStringObject *)PyString_FromStringAndSize((char *)0, i))
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== NULL)
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return NULL;
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/* get the beginning of the string memory and start copying things */
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cp = PyString_AS_STRING(strobjp);
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if (withname) {
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strcpy(cp, initialiser_name);
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cp += strlen(initialiser_name);
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*cp++ = '('; /*')'*/
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}
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/* copy the already prepared prefix; e.g. sign and base indicator */
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*tcp = '\0';
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strcpy(cp, prefix);
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cp += tcp - prefix;
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/* since' we have the sign already, let the lib think it's a positive
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number */
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if (cmpres < 0)
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mpz_neg(&mpzp->mpz,&mpzp->mpz); /* hack Hack HAck HACk HACK */
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(void)mpz_get_str(cp, base, &mpzp->mpz);
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if (cmpres < 0)
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mpz_neg(&mpzp->mpz,&mpzp->mpz); /* hack Hack HAck HACk HACK */
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#ifdef MPZ_DEBUG
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fprintf(stderr, "mpz_format: base (ultim) %d, mpz_get_str: %s\n",
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base, cp);
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#endif /* def MPZ_DEBUG */
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cp += strlen(cp);
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if (taglong)
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*cp++ = 'L';
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if (withname)
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*cp++ = /*'('*/ ')';
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*cp = '\0';
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#ifdef MPZ_DEBUG
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fprintf(stderr,
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"mpz_format: cp (str end) 0x%x, begin 0x%x, diff %d, i %d\n",
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cp, PyString_AS_STRING(strobjp),
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cp - PyString_AS_STRING(strobjp), i);
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#endif /* def MPZ_DEBUG */
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assert(cp - PyString_AS_STRING(strobjp) <= i);
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if (cp - PyString_AS_STRING(strobjp) != i) {
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strobjp->ob_size -= i - (cp - PyString_AS_STRING(strobjp));
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}
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return (PyObject *)strobjp;
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} /* mpz_format() */
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/* MPZ methods */
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static void
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mpz_dealloc(mpzp)
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mpzobject *mpzp;
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{
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#ifdef MPZ_DEBUG
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fputs( "mpz_dealloc() called...\n", stderr );
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#endif /* def MPZ_DEBUG */
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mpz_clear(&mpzp->mpz);
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PyMem_DEL(mpzp);
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} /* mpz_dealloc() */
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/* pointers to frequently used values 0, 1 and -1 */
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static mpzobject *mpz_value_zero, *mpz_value_one, *mpz_value_mone;
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static int
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mpz_compare(a, b)
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mpzobject *a, *b;
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{
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int cmpres;
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/* guido sez it's better to return -1, 0 or 1 */
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return (cmpres = mpz_cmp( &a->mpz, &b->mpz )) == 0 ? 0
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: cmpres > 0 ? 1 : -1;
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} /* mpz_compare() */
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static PyObject *
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mpz_addition(a, b)
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mpzobject *a;
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mpzobject *b;
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{
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mpzobject *z;
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#ifdef MPZ_SPARE_MALLOC
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if (mpz_cmp_ui(&a->mpz, (unsigned long int)0) == 0) {
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Py_INCREF(b);
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return (PyObject *)b;
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}
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if (mpz_cmp_ui(&b->mpz, (unsigned long int)0) == 0) {
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Py_INCREF(a);
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return (PyObject *)a;
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}
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#endif /* def MPZ_SPARE_MALLOC */
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if ((z = newmpzobject()) == NULL)
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return NULL;
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mpz_add(&z->mpz, &a->mpz, &b->mpz);
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return (PyObject *)z;
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} /* mpz_addition() */
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static PyObject *
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mpz_substract(a, b)
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mpzobject *a;
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mpzobject *b;
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{
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mpzobject *z;
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#ifdef MPZ_SPARE_MALLOC
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if (mpz_cmp_ui(&b->mpz, (unsigned long int)0) == 0) {
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Py_INCREF(a);
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return (PyObject *)a;
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}
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#endif /* MPZ_SPARE_MALLOC */
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if ((z = newmpzobject()) == NULL)
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return NULL;
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mpz_sub(&z->mpz, &a->mpz, &b->mpz);
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return (PyObject *)z;
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} /* mpz_substract() */
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static PyObject *
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mpz_multiply(a, b)
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mpzobject *a;
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mpzobject *b;
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{
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#ifdef MPZ_SPARE_MALLOC
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int cmpres;
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#endif /* def MPZ_SPARE_MALLOC */
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mpzobject *z;
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#ifdef MPZ_SPARE_MALLOC
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if ((cmpres = mpz_cmp_ui(&a->mpz, (unsigned long int)0)) == 0) {
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Py_INCREF(mpz_value_zero);
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return (PyObject *)mpz_value_zero;
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}
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if (cmpres > 0 && mpz_cmp_ui(&a->mpz, (unsigned long int)1) == 0) {
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Py_INCREF(b);
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return (PyObject *)b;
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}
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if ((cmpres = mpz_cmp_ui(&b->mpz, (unsigned long_int)0)) == 0) {
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Py_INCREF(mpz_value_zero);
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return (PyObject *)mpz_value_zero;
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}
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if (cmpres > 0 && mpz_cmp_ui(&b->mpz, (unsigned long int)1) == 0) {
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Py_INCREF(a);
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return (PyObject *)a;
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}
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#endif /* MPZ_SPARE_MALLOC */
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if ((z = newmpzobject()) == NULL)
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return NULL;
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mpz_mul( &z->mpz, &a->mpz, &b->mpz );
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return (PyObject *)z;
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} /* mpz_multiply() */
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static PyObject *
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mpz_divide(a, b)
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mpzobject *a;
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mpzobject *b;
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{
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#ifdef MPZ_SPARE_MALLOC
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int cmpres;
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#endif /* def MPZ_SPARE_MALLOC */
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mpzobject *z;
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if ((
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#ifdef MPZ_SPARE_MALLOC
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cmpres =
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#endif /* def MPZ_SPARE_MALLOC */
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mpz_cmp_ui(&b->mpz, (unsigned long int)0)) == 0) {
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PyErr_SetString(PyExc_ZeroDivisionError, "mpz./ by zero");
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return NULL;
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}
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#ifdef MPZ_SPARE_MALLOC
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if (cmpres > 0 && mpz_cmp_ui(&b->mpz(unsigned long int)1) == 0) {
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Py_INCREF(a);
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return (PyObject *)a;
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}
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#endif /* def MPZ_SPARE_MALLOC */
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if ((z = newmpzobject()) == NULL)
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return NULL;
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#ifdef MPZ_TEST_DIV
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fputs("mpz_divide: div result", stderr);
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mpz_div(&z->mpz, &a->mpz, &b->mpz);
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mpz_out_str(stderr, 10, &z->mpz);
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putc('\n', stderr);
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#endif /* def MPZ_TEST_DIV */
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#ifdef MPZ_MDIV_BUG
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if ((mpz_cmp_ui(&a->mpz, (unsigned long int)0) < 0)
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!= (mpz_cmp_ui(&b->mpz, (unsigned long int)0) < 0)) {
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/*
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** numerator has other sign than denominator: we have
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** to look at the remainder for a correction, since mpz_mdiv
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** also calls mpz_divmod, I can as well do it myself
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*/
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MP_INT tmpmpz;
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mpz_init(&tmpmpz);
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mpz_divmod(&z->mpz, &tmpmpz, &a->mpz, &b->mpz);
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if (mpz_cmp_ui(&tmpmpz, (unsigned long int)0) != 0)
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mpz_sub_ui(&z->mpz, &z->mpz, (unsigned long int)1);
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mpz_clear(&tmpmpz);
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}
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else
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mpz_div(&z->mpz, &a->mpz, &b->mpz);
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/* the ``naive'' implementation does it right for operands
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having the same sign */
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#else /* def MPZ_MDIV_BUG */
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mpz_mdiv(&z->mpz, &a->mpz, &b->mpz);
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#endif /* def MPZ_MDIV_BUG else */
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#ifdef MPZ_TEST_DIV
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fputs("mpz_divide: mdiv result", stderr);
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mpz_out_str(stderr, 10, &z->mpz);
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putc('\n', stderr);
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#endif /* def MPZ_TEST_DIV */
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return (PyObject *)z;
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} /* mpz_divide() */
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static PyObject *
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mpz_remainder(a, b)
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mpzobject *a;
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mpzobject *b;
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{
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#ifdef MPZ_SPARE_MALLOC
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int cmpres;
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#endif /* def MPZ_SPARE_MALLOC */
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mpzobject *z;
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if ((
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#ifdef MPZ_SPARE_MALLOC
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cmpres =
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#endif /* def MPZ_SPARE_MALLOC */
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mpz_cmp_ui(&b->mpz, (unsigned long int)0)) == 0) {
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PyErr_SetString(PyExc_ZeroDivisionError, "mpz.% by zero");
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return NULL;
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}
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#ifdef MPZ_SPARE_MALLOC
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if (cmpres > 0) {
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if ((cmpres = mpz_cmp_ui(&b->mpz, (unsigned long int)2)) == 0)
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{
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Py_INCREF(mpz_value_one);
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return (PyObject *)mpz_value_one;
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}
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if (cmpres < 0) {
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/* b must be 1 now */
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Py_INCREF(mpz_value_zero);
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return (PyObject *)mpz_value_zero;
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}
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}
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#endif /* def MPZ_SPARE_MALLOC */
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if ((z = newmpzobject()) == NULL)
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return NULL;
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#ifdef MPZ_TEST_DIV
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fputs("mpz_remain: mod result", stderr);
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mpz_mod(&z->mpz, &a->mpz, &b->mpz);
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mpz_out_str(stderr, 10, &z->mpz);
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putc('\n', stderr);
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#endif /* def MPZ_TEST_DIV */
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#ifdef MPZ_MDIV_BUG
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|
|
/* the ``naive'' implementation does it right for operands
|
|
having the same sign */
|
|
mpz_mod(&z->mpz, &a->mpz, &b->mpz);
|
|
|
|
/* assumption: z, a and b all point to different locations */
|
|
if ((mpz_cmp_ui(&a->mpz, (unsigned long int)0) < 0)
|
|
!= (mpz_cmp_ui(&b->mpz, (unsigned long int)0) < 0)
|
|
&& mpz_cmp_ui(&z->mpz, (unsigned long int)0) != 0)
|
|
mpz_add(&z->mpz, &z->mpz, &b->mpz);
|
|
/*
|
|
** numerator has other sign than denominator: we have
|
|
** to look at the remainder for a correction, since mpz_mdiv
|
|
** also calls mpz_divmod, I can as well do it myself
|
|
*/
|
|
#else /* def MPZ_MDIV_BUG */
|
|
mpz_mmod(&z->mpz, &a->mpz, &b->mpz);
|
|
#endif /* def MPZ_MDIV_BUG else */
|
|
#ifdef MPZ_TEST_DIV
|
|
fputs("mpz_remain: mmod result", stderr);
|
|
mpz_out_str(stderr, 10, &z->mpz);
|
|
putc('\n', stderr);
|
|
#endif /* def MPZ_TEST_DIV */
|
|
return (PyObject *)z;
|
|
|
|
} /* mpz_remainder() */
|
|
|
|
static PyObject *
|
|
mpz_div_and_mod(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
PyObject *z = NULL;
|
|
mpzobject *x = NULL, *y = NULL;
|
|
|
|
|
|
if (mpz_cmp_ui(&b->mpz, (unsigned long int)0) == 0) {
|
|
PyErr_SetString(PyExc_ZeroDivisionError, "mpz.divmod by zero");
|
|
return NULL;
|
|
}
|
|
|
|
if ((z = PyTuple_New(2)) == NULL
|
|
|| (x = newmpzobject()) == NULL
|
|
|| (y = newmpzobject()) == NULL) {
|
|
Py_XDECREF(z);
|
|
Py_XDECREF(x);
|
|
Py_XDECREF(y);
|
|
return NULL;
|
|
}
|
|
|
|
#ifdef MPZ_TEST_DIV
|
|
fputs("mpz_divmod: dm result", stderr);
|
|
mpz_divmod(&x->mpz, &y->mpz, &a->mpz, &b->mpz);
|
|
mpz_out_str(stderr, 10, &x->mpz);
|
|
putc('\n', stderr);
|
|
mpz_out_str(stderr, 10, &y->mpz);
|
|
putc('\n', stderr);
|
|
#endif /* def MPZ_TEST_DIV */
|
|
#ifdef MPZ_MDIV_BUG
|
|
mpz_divmod(&x->mpz, &y->mpz, &a->mpz, &b->mpz);
|
|
if ((mpz_cmp_ui(&a->mpz, (unsigned long int)0) < 0)
|
|
!= (mpz_cmp_ui(&b->mpz, (unsigned long int)0) < 0)
|
|
&& mpz_cmp_ui(&y->mpz, (unsigned long int)0) != 0) {
|
|
/*
|
|
** numerator has other sign than denominator: we have
|
|
** to look at the remainder for a correction.
|
|
*/
|
|
mpz_add(&y->mpz, &y->mpz, &b->mpz);
|
|
mpz_sub_ui(&x->mpz, &x->mpz, (unsigned long int)1);
|
|
}
|
|
#else /* def MPZ_MDIV_BUG */
|
|
mpz_mdivmod( &x->mpz, &y->mpz, &a->mpz, &b->mpz );
|
|
#endif /* def MPZ_MDIV_BUG else */
|
|
#ifdef MPZ_TEST_DIV
|
|
fputs("mpz_divmod: mdm result", stderr);
|
|
mpz_out_str(stderr, 10, &x->mpz);
|
|
putc('\n', stderr);
|
|
mpz_out_str(stderr, 10, &y->mpz);
|
|
putc('\n', stderr);
|
|
#endif /* def MPZ_TEST_DIV */
|
|
|
|
(void)PyTuple_SetItem(z, 0, (PyObject *)x);
|
|
(void)PyTuple_SetItem(z, 1, (PyObject *)y);
|
|
|
|
return z;
|
|
} /* mpz_div_and_mod() */
|
|
|
|
static PyObject *
|
|
mpz_power(a, b, m)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
mpzobject *m;
|
|
{
|
|
mpzobject *z;
|
|
int cmpres;
|
|
|
|
if ((PyObject *)m != Py_None) {
|
|
mpzobject *z2;
|
|
Py_INCREF(Py_None);
|
|
z=(mpzobject *)mpz_power(a, b, (mpzobject *)Py_None);
|
|
Py_DECREF(Py_None);
|
|
if (z==NULL) return((PyObject *)z);
|
|
z2=(mpzobject *)mpz_remainder(z, m);
|
|
Py_DECREF(z);
|
|
return((PyObject *)z2);
|
|
}
|
|
|
|
if ((cmpres = mpz_cmp_ui(&b->mpz, (unsigned long int)0)) == 0) {
|
|
/* the gnu-mp lib sets pow(0,0) to 0, we to 1 */
|
|
|
|
Py_INCREF(mpz_value_one);
|
|
return (PyObject *)mpz_value_one;
|
|
}
|
|
|
|
if (cmpres < 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.pow to negative exponent");
|
|
return NULL;
|
|
}
|
|
|
|
if ((cmpres = mpz_cmp_ui(&a->mpz, (unsigned long int)0)) == 0) {
|
|
/* the base is 0 */
|
|
|
|
Py_INCREF(mpz_value_zero);
|
|
return (PyObject *)mpz_value_zero;
|
|
}
|
|
else if (cmpres > 0
|
|
&& mpz_cmp_ui(&a->mpz, (unsigned long int)1) == 0) {
|
|
/* the base is 1 */
|
|
|
|
Py_INCREF(mpz_value_one);
|
|
return (PyObject *)mpz_value_one;
|
|
}
|
|
else if (cmpres < 0
|
|
&& mpz_cmp_si(&a->mpz, (long int)-1) == 0) {
|
|
|
|
MP_INT tmpmpz;
|
|
/* the base is -1: pow(-1, any) == 1,-1 for even,uneven b */
|
|
/* XXX this code needs to be optimized: what's better?
|
|
mpz_mmod_ui or mpz_mod_2exp, I choose for the latter
|
|
for *un*obvious reasons */
|
|
|
|
/* is the exponent even? */
|
|
mpz_init(&tmpmpz);
|
|
|
|
/* look to the remainder after a division by (1 << 1) */
|
|
mpz_mod_2exp(&tmpmpz, &b->mpz, (unsigned long int)1);
|
|
|
|
if (mpz_cmp_ui(&tmpmpz, (unsigned int)0) == 0) {
|
|
mpz_clear(&tmpmpz);
|
|
Py_INCREF(mpz_value_one);
|
|
return (PyObject *)mpz_value_one;
|
|
}
|
|
mpz_clear(&tmpmpz);
|
|
Py_INCREF(mpz_value_mone);
|
|
return (PyObject *)mpz_value_mone;
|
|
}
|
|
|
|
#ifdef MPZ_LIB_DOES_CHECKING
|
|
/* check if it's doable: sizeof(exp) > sizeof(long) &&
|
|
abs(base) > 1 ?? --> No Way */
|
|
if (mpz_size(&b->mpz) > 1)
|
|
return (PyObject *)PyErr_NoMemory();
|
|
#else /* def MPZ_LIB_DOES_CHECKING */
|
|
/* wet finger method */
|
|
if (mpz_cmp_ui(&b->mpz, (unsigned long int)0x10000) >= 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.pow outrageous exponent");
|
|
return NULL;
|
|
}
|
|
#endif /* def MPZ_LIB_DOES_CHECKING else */
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_pow_ui(&z->mpz, &a->mpz, mpz_get_ui(&b->mpz));
|
|
|
|
return (PyObject *)z;
|
|
} /* mpz_power() */
|
|
|
|
|
|
static PyObject *
|
|
mpz_negative(v)
|
|
mpzobject *v;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
#ifdef MPZ_SPARE_MALLOC
|
|
if (mpz_cmp_ui(&v->mpz, (unsigned long int)0) == 0) {
|
|
/* -0 == 0 */
|
|
Py_INCREF(v);
|
|
return (PyObject *)v;
|
|
}
|
|
#endif /* def MPZ_SPARE_MALLOC */
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_neg(&z->mpz, &v->mpz);
|
|
return (PyObject *)z;
|
|
} /* mpz_negative() */
|
|
|
|
|
|
static PyObject *
|
|
mpz_positive(v)
|
|
mpzobject *v;
|
|
{
|
|
Py_INCREF(v);
|
|
return (PyObject *)v;
|
|
} /* mpz_positive() */
|
|
|
|
|
|
static PyObject *
|
|
mpz_absolute(v)
|
|
mpzobject *v;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
if (mpz_cmp_ui(&v->mpz, (unsigned long int)0) >= 0) {
|
|
Py_INCREF(v);
|
|
return (PyObject *)v;
|
|
}
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_neg(&z->mpz, &v->mpz);
|
|
return (PyObject *)z;
|
|
} /* mpz_absolute() */
|
|
|
|
static int
|
|
mpz_nonzero(v)
|
|
mpzobject *v;
|
|
{
|
|
return mpz_cmp_ui(&v->mpz, (unsigned long int)0) != 0;
|
|
} /* mpz_nonzero() */
|
|
|
|
static PyObject *
|
|
py_mpz_invert(v)
|
|
mpzobject *v;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
/* I think mpz_com does exactly what needed */
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_com(&z->mpz, &v->mpz);
|
|
return (PyObject *)z;
|
|
} /* py_mpz_invert() */
|
|
|
|
static PyObject *
|
|
mpz_lshift(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
int cmpres;
|
|
mpzobject *z;
|
|
|
|
|
|
if ((cmpres = mpz_cmp_ui(&b->mpz, (unsigned long int)0)) == 0) {
|
|
/* a << 0 == a */
|
|
Py_INCREF(a);
|
|
return (PyObject *)a;
|
|
}
|
|
|
|
if (cmpres < 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.<< negative shift count");
|
|
return NULL;
|
|
}
|
|
|
|
#ifdef MPZ_LIB_DOES_CHECKING
|
|
if (mpz_size(&b->mpz) > 1)
|
|
return (PyObject *)PyErr_NoMemory();
|
|
#else /* def MPZ_LIB_DOES_CHECKING */
|
|
/* wet finger method */
|
|
if (mpz_cmp_ui(&b->mpz, (unsigned long int)0x10000) >= 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.<< outrageous shift count");
|
|
return NULL;
|
|
}
|
|
#endif /* def MPZ_LIB_DOES_CHECKING else */
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_mul_2exp(&z->mpz, &a->mpz, mpz_get_ui(&b->mpz));
|
|
return (PyObject *)z;
|
|
} /* mpz_lshift() */
|
|
|
|
static PyObject *
|
|
mpz_rshift(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
int cmpres;
|
|
mpzobject *z;
|
|
|
|
|
|
if ((cmpres = mpz_cmp_ui(&b->mpz, (unsigned long int)0)) == 0) {
|
|
/* a >> 0 == a */
|
|
Py_INCREF(a);
|
|
return (PyObject *)a;
|
|
}
|
|
|
|
if (cmpres < 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.>> negative shift count");
|
|
return NULL;
|
|
}
|
|
|
|
if (mpz_size(&b->mpz) > 1)
|
|
return (PyObject *)PyErr_NoMemory();
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_div_2exp(&z->mpz, &a->mpz, mpz_get_ui(&b->mpz));
|
|
return (PyObject *)z;
|
|
} /* mpz_rshift() */
|
|
|
|
static PyObject *
|
|
mpz_andfunc(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_and(&z->mpz, &a->mpz, &b->mpz);
|
|
return (PyObject *)z;
|
|
} /* mpz_andfunc() */
|
|
|
|
/* hack Hack HAck HACk HACK, XXX this code is dead slow */
|
|
void
|
|
mpz_xor(res, op1, op2)
|
|
MP_INT *res;
|
|
const MP_INT *op1;
|
|
const MP_INT *op2;
|
|
{
|
|
MP_INT tmpmpz;
|
|
|
|
mpz_init(&tmpmpz);
|
|
|
|
mpz_and(res, op1, op2);
|
|
mpz_com(&tmpmpz, res);
|
|
mpz_ior(res, op1, op2);
|
|
mpz_and(res, res, &tmpmpz);
|
|
|
|
mpz_clear(&tmpmpz);
|
|
} /* mpz_xor() HACK */
|
|
|
|
static PyObject *
|
|
mpz_xorfunc(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_xor(&z->mpz, &a->mpz, &b->mpz);
|
|
return (PyObject *)z;
|
|
} /* mpz_xorfunc() */
|
|
|
|
static PyObject *
|
|
mpz_orfunc(a, b)
|
|
mpzobject *a;
|
|
mpzobject *b;
|
|
{
|
|
mpzobject *z;
|
|
|
|
|
|
if ((z = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_ior(&z->mpz, &a->mpz, &b->mpz);
|
|
return (PyObject *)z;
|
|
} /* mpz_orfunc() */
|
|
|
|
/* MPZ initialisation */
|
|
|
|
#include "longintrepr.h"
|
|
|
|
static PyObject *
|
|
MPZ_mpz(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
mpzobject *mpzp;
|
|
PyObject *objp;
|
|
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fputs("MPZ_mpz() called...\n", stderr);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
if (!PyArg_Parse(args, "O", &objp))
|
|
return NULL;
|
|
|
|
/* at least we know it's some object */
|
|
/* note DON't Py_DECREF args NEITHER objp */
|
|
|
|
if (PyInt_Check(objp)) {
|
|
long lval;
|
|
|
|
if (!PyArg_Parse(objp, "l", &lval))
|
|
return NULL;
|
|
|
|
if (lval == (long)0) {
|
|
Py_INCREF(mpz_value_zero);
|
|
mpzp = mpz_value_zero;
|
|
}
|
|
else if (lval == (long)1) {
|
|
Py_INCREF(mpz_value_one);
|
|
mpzp = mpz_value_one;
|
|
}
|
|
else if ((mpzp = newmpzobject()) == NULL)
|
|
return NULL;
|
|
else mpz_set_si(&mpzp->mpz, lval);
|
|
}
|
|
else if (PyLong_Check(objp)) {
|
|
MP_INT mplongdigit;
|
|
int i;
|
|
unsigned char isnegative;
|
|
|
|
|
|
if ((mpzp = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_set_si(&mpzp->mpz, 0L);
|
|
mpz_init(&mplongdigit);
|
|
|
|
/* how we're gonna handle this? */
|
|
if ((isnegative =
|
|
((i = ((PyLongObject *)objp)->ob_size) < 0) ))
|
|
i = -i;
|
|
|
|
while (i--) {
|
|
mpz_set_ui(&mplongdigit,
|
|
(unsigned long)
|
|
((PyLongObject *)objp)->ob_digit[i]);
|
|
mpz_mul_2exp(&mplongdigit,&mplongdigit,
|
|
(unsigned long int)i * SHIFT);
|
|
mpz_ior(&mpzp->mpz, &mpzp->mpz, &mplongdigit);
|
|
}
|
|
|
|
if (isnegative)
|
|
mpz_neg(&mpzp->mpz, &mpzp->mpz);
|
|
|
|
/* get rid of allocation for tmp variable */
|
|
mpz_clear(&mplongdigit);
|
|
}
|
|
else if (PyString_Check(objp)) {
|
|
char *cp;
|
|
int len;
|
|
MP_INT mplongdigit;
|
|
|
|
if (!PyArg_Parse(objp, "s#", &cp, &len))
|
|
return NULL;
|
|
|
|
if ((mpzp = newmpzobject()) == NULL)
|
|
return NULL;
|
|
|
|
mpz_set_si(&mpzp->mpz, 0L);
|
|
mpz_init(&mplongdigit);
|
|
|
|
/* let's do it the same way as with the long conversion:
|
|
without thinking how it can be faster (-: :-) */
|
|
|
|
cp += len;
|
|
while (len--) {
|
|
mpz_set_ui(&mplongdigit, (unsigned long)*--cp );
|
|
mpz_mul_2exp(&mplongdigit,&mplongdigit,
|
|
(unsigned long int)len * 8);
|
|
mpz_ior(&mpzp->mpz, &mpzp->mpz, &mplongdigit);
|
|
}
|
|
|
|
/* get rid of allocation for tmp variable */
|
|
mpz_clear(&mplongdigit);
|
|
}
|
|
else if (is_mpzobject(objp)) {
|
|
Py_INCREF(objp);
|
|
mpzp = (mpzobject *)objp;
|
|
}
|
|
else {
|
|
PyErr_SetString(PyExc_TypeError,
|
|
"mpz.mpz() expects integer, long, string or mpz object argument");
|
|
return NULL;
|
|
}
|
|
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fputs("MPZ_mpz: created mpz=", stderr);
|
|
mpz_out_str(stderr, 10, &mpzp->mpz);
|
|
putc('\n', stderr);
|
|
#endif /* def MPZ_DEBUG */
|
|
return (PyObject *)mpzp;
|
|
} /* MPZ_mpz() */
|
|
|
|
static mpzobject *
|
|
mpz_mpzcoerce(z)
|
|
PyObject *z;
|
|
{
|
|
/* shortcut: 9 out of 10 times the type is already ok */
|
|
if (is_mpzobject(z)) {
|
|
Py_INCREF(z);
|
|
return (mpzobject *)z; /* coercion succeeded */
|
|
}
|
|
|
|
/* what types do we accept?: intobjects and longobjects */
|
|
if (PyInt_Check(z) || PyLong_Check(z))
|
|
return (mpzobject *)MPZ_mpz((PyObject *)NULL, z);
|
|
|
|
PyErr_SetString(PyExc_TypeError,
|
|
"number coercion (to mpzobject) failed");
|
|
return NULL;
|
|
} /* mpz_mpzcoerce() */
|
|
|
|
/* Forward */
|
|
static void mpz_divm Py_PROTO((MP_INT *res, const MP_INT *num,
|
|
const MP_INT *den, const MP_INT *mod));
|
|
|
|
static PyObject *
|
|
MPZ_powm(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *base, *exp, *mod;
|
|
mpzobject *mpzbase = NULL, *mpzexp = NULL, *mpzmod = NULL;
|
|
mpzobject *z;
|
|
int tstres;
|
|
|
|
|
|
if (!PyArg_Parse(args, "(OOO)", &base, &exp, &mod))
|
|
return NULL;
|
|
|
|
if ((mpzbase = mpz_mpzcoerce(base)) == NULL
|
|
|| (mpzexp = mpz_mpzcoerce(exp)) == NULL
|
|
|| (mpzmod = mpz_mpzcoerce(mod)) == NULL
|
|
|| (z = newmpzobject()) == NULL) {
|
|
Py_XDECREF(mpzbase);
|
|
Py_XDECREF(mpzexp);
|
|
Py_XDECREF(mpzmod);
|
|
return NULL;
|
|
}
|
|
|
|
if ((tstres=mpz_cmp_ui(&mpzexp->mpz, (unsigned long int)0)) == 0) {
|
|
Py_INCREF(mpz_value_one);
|
|
return (PyObject *)mpz_value_one;
|
|
}
|
|
|
|
if (tstres < 0) {
|
|
MP_INT absexp;
|
|
/* negative exp */
|
|
|
|
mpz_init_set(&absexp, &mpzexp->mpz);
|
|
mpz_abs(&absexp, &absexp);
|
|
mpz_powm(&z->mpz, &mpzbase->mpz, &absexp, &mpzmod->mpz);
|
|
|
|
mpz_divm(&z->mpz, &mpz_value_one->mpz, &z->mpz, &mpzmod->mpz);
|
|
|
|
mpz_clear(&absexp);
|
|
}
|
|
else {
|
|
mpz_powm(&z->mpz, &mpzbase->mpz, &mpzexp->mpz, &mpzmod->mpz);
|
|
}
|
|
|
|
Py_DECREF(mpzbase);
|
|
Py_DECREF(mpzexp);
|
|
Py_DECREF(mpzmod);
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_powm() */
|
|
|
|
|
|
static PyObject *
|
|
MPZ_gcd(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *op1, *op2;
|
|
mpzobject *mpzop1 = NULL, *mpzop2 = NULL;
|
|
mpzobject *z;
|
|
|
|
|
|
if (!PyArg_Parse(args, "(OO)", &op1, &op2))
|
|
return NULL;
|
|
|
|
if ((mpzop1 = mpz_mpzcoerce(op1)) == NULL
|
|
|| (mpzop2 = mpz_mpzcoerce(op2)) == NULL
|
|
|| (z = newmpzobject()) == NULL) {
|
|
Py_XDECREF(mpzop1);
|
|
Py_XDECREF(mpzop2);
|
|
return NULL;
|
|
}
|
|
|
|
/* ok, we have three mpzobjects, and an initialised result holder */
|
|
mpz_gcd(&z->mpz, &mpzop1->mpz, &mpzop2->mpz);
|
|
|
|
Py_DECREF(mpzop1);
|
|
Py_DECREF(mpzop2);
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_gcd() */
|
|
|
|
|
|
static PyObject *
|
|
MPZ_gcdext(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *op1, *op2, *z = NULL;
|
|
mpzobject *mpzop1 = NULL, *mpzop2 = NULL;
|
|
mpzobject *g = NULL, *s = NULL, *t = NULL;
|
|
|
|
|
|
if (!PyArg_Parse(args, "(OO)", &op1, &op2))
|
|
return NULL;
|
|
|
|
if ((mpzop1 = mpz_mpzcoerce(op1)) == NULL
|
|
|| (mpzop2 = mpz_mpzcoerce(op2)) == NULL
|
|
|| (z = PyTuple_New(3)) == NULL
|
|
|| (g = newmpzobject()) == NULL
|
|
|| (s = newmpzobject()) == NULL
|
|
|| (t = newmpzobject()) == NULL) {
|
|
Py_XDECREF(mpzop1);
|
|
Py_XDECREF(mpzop2);
|
|
Py_XDECREF(z);
|
|
Py_XDECREF(g);
|
|
Py_XDECREF(s);
|
|
/*Py_XDECREF(t);*/
|
|
return NULL;
|
|
}
|
|
|
|
mpz_gcdext(&g->mpz, &s->mpz, &t->mpz, &mpzop1->mpz, &mpzop2->mpz);
|
|
|
|
Py_DECREF(mpzop1);
|
|
Py_DECREF(mpzop2);
|
|
|
|
(void)PyTuple_SetItem(z, 0, (PyObject *)g);
|
|
(void)PyTuple_SetItem(z, 1, (PyObject *)s);
|
|
(void)PyTuple_SetItem(z, 2, (PyObject *)t);
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_gcdext() */
|
|
|
|
|
|
static PyObject *
|
|
MPZ_sqrt(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *op;
|
|
mpzobject *mpzop = NULL;
|
|
mpzobject *z;
|
|
|
|
|
|
if (!PyArg_Parse(args, "O", &op))
|
|
return NULL;
|
|
|
|
if ((mpzop = mpz_mpzcoerce(op)) == NULL
|
|
|| (z = newmpzobject()) == NULL) {
|
|
Py_XDECREF(mpzop);
|
|
return NULL;
|
|
}
|
|
|
|
mpz_sqrt(&z->mpz, &mpzop->mpz);
|
|
|
|
Py_DECREF(mpzop);
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_sqrt() */
|
|
|
|
|
|
static PyObject *
|
|
MPZ_sqrtrem(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *op, *z = NULL;
|
|
mpzobject *mpzop = NULL;
|
|
mpzobject *root = NULL, *rem = NULL;
|
|
|
|
|
|
if (!PyArg_Parse(args, "O", &op))
|
|
return NULL;
|
|
|
|
if ((mpzop = mpz_mpzcoerce(op)) == NULL
|
|
|| (z = PyTuple_New(2)) == NULL
|
|
|| (root = newmpzobject()) == NULL
|
|
|| (rem = newmpzobject()) == NULL) {
|
|
Py_XDECREF(mpzop);
|
|
Py_XDECREF(z);
|
|
Py_XDECREF(root);
|
|
/*Py_XDECREF(rem);*/
|
|
return NULL;
|
|
}
|
|
|
|
mpz_sqrtrem(&root->mpz, &rem->mpz, &mpzop->mpz);
|
|
|
|
Py_DECREF(mpzop);
|
|
|
|
(void)PyTuple_SetItem(z, 0, (PyObject *)root);
|
|
(void)PyTuple_SetItem(z, 1, (PyObject *)rem);
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_sqrtrem() */
|
|
|
|
|
|
static void
|
|
#if __STDC__
|
|
mpz_divm(MP_INT *res, const MP_INT *num, const MP_INT *den, const MP_INT *mod)
|
|
#else
|
|
mpz_divm(res, num, den, mod)
|
|
MP_INT *res;
|
|
const MP_INT *num;
|
|
const MP_INT *den;
|
|
const MP_INT *mod;
|
|
#endif
|
|
{
|
|
MP_INT s0, s1, q, r, x, d0, d1;
|
|
|
|
mpz_init_set(&s0, num);
|
|
mpz_init_set_ui(&s1, 0);
|
|
mpz_init(&q);
|
|
mpz_init(&r);
|
|
mpz_init(&x);
|
|
mpz_init_set(&d0, den);
|
|
mpz_init_set(&d1, mod);
|
|
|
|
#ifdef GMP2
|
|
while (d1._mp_size != 0) {
|
|
#else
|
|
while (d1.size != 0) {
|
|
#endif
|
|
mpz_divmod(&q, &r, &d0, &d1);
|
|
mpz_set(&d0, &d1);
|
|
mpz_set(&d1, &r);
|
|
|
|
mpz_mul(&x, &s1, &q);
|
|
mpz_sub(&x, &s0, &x);
|
|
mpz_set(&s0, &s1);
|
|
mpz_set(&s1, &x);
|
|
}
|
|
|
|
#ifdef GMP2
|
|
if (d0._mp_size != 1 || d0._mp_d[0] != 1)
|
|
res->_mp_size = 0; /* trouble: the gcd != 1; set s to zero */
|
|
#else
|
|
if (d0.size != 1 || d0.d[0] != 1)
|
|
res->size = 0; /* trouble: the gcd != 1; set s to zero */
|
|
#endif
|
|
else {
|
|
#ifdef MPZ_MDIV_BUG
|
|
/* watch out here! first check the signs, and then perform
|
|
the mpz_mod() since mod could point to res */
|
|
if ((s0.size < 0) != (mod->size < 0)) {
|
|
mpz_mod(res, &s0, mod);
|
|
|
|
if (res->size)
|
|
mpz_add(res, res, mod);
|
|
}
|
|
else
|
|
mpz_mod(res, &s0, mod);
|
|
|
|
#else /* def MPZ_MDIV_BUG */
|
|
mpz_mmod(res, &s0, mod);
|
|
#endif /* def MPZ_MDIV_BUG else */
|
|
}
|
|
|
|
mpz_clear(&s0);
|
|
mpz_clear(&s1);
|
|
mpz_clear(&q);
|
|
mpz_clear(&r);
|
|
mpz_clear(&x);
|
|
mpz_clear(&d0);
|
|
mpz_clear(&d1);
|
|
} /* mpz_divm() */
|
|
|
|
|
|
static PyObject *
|
|
MPZ_divm(self, args)
|
|
PyObject *self;
|
|
PyObject *args;
|
|
{
|
|
PyObject *num, *den, *mod;
|
|
mpzobject *mpznum, *mpzden, *mpzmod = NULL;
|
|
mpzobject *z = NULL;
|
|
|
|
|
|
if (!PyArg_Parse(args, "(OOO)", &num, &den, &mod))
|
|
return NULL;
|
|
|
|
if ((mpznum = mpz_mpzcoerce(num)) == NULL
|
|
|| (mpzden = mpz_mpzcoerce(den)) == NULL
|
|
|| (mpzmod = mpz_mpzcoerce(mod)) == NULL
|
|
|| (z = newmpzobject()) == NULL ) {
|
|
Py_XDECREF(mpznum);
|
|
Py_XDECREF(mpzden);
|
|
Py_XDECREF(mpzmod);
|
|
return NULL;
|
|
}
|
|
|
|
mpz_divm(&z->mpz, &mpznum->mpz, &mpzden->mpz, &mpzmod->mpz);
|
|
|
|
Py_DECREF(mpznum);
|
|
Py_DECREF(mpzden);
|
|
Py_DECREF(mpzmod);
|
|
|
|
if (mpz_cmp_ui(&z->mpz, (unsigned long int)0) == 0) {
|
|
Py_DECREF(z);
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"gcd(den, mod) != 1 or num == 0");
|
|
return NULL;
|
|
}
|
|
|
|
return (PyObject *)z;
|
|
} /* MPZ_divm() */
|
|
|
|
|
|
/* MPZ methods-as-attributes */
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
static PyObject *
|
|
mpz_int(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
#else /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
static PyObject *
|
|
mpz_int(self)
|
|
mpzobject *self;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS else */
|
|
{
|
|
long sli;
|
|
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
|
|
if (mpz_size(&self->mpz) > 1
|
|
|| (sli = (long)mpz_get_ui(&self->mpz)) < (long)0 ) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.int() arg too long to convert");
|
|
return NULL;
|
|
}
|
|
|
|
if (mpz_cmp_ui(&self->mpz, (unsigned long)0) < 0)
|
|
sli = -sli;
|
|
|
|
return PyInt_FromLong(sli);
|
|
} /* mpz_int() */
|
|
|
|
static PyObject *
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
mpz_long(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
#else /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
mpz_long(self)
|
|
mpzobject *self;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS else */
|
|
{
|
|
int i, isnegative;
|
|
unsigned long int uli;
|
|
PyLongObject *longobjp;
|
|
int ldcount;
|
|
int bitpointer, newbitpointer;
|
|
MP_INT mpzscratch;
|
|
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
|
|
/* determine length of python-long to be allocated */
|
|
if ((longobjp = _PyLong_New(i = (int)
|
|
((mpz_size(&self->mpz) * BITS_PER_MP_LIMB
|
|
+ SHIFT - 1) /
|
|
SHIFT))) == NULL)
|
|
return NULL;
|
|
|
|
/* determine sign, and copy self to scratch var */
|
|
mpz_init_set(&mpzscratch, &self->mpz);
|
|
if ((isnegative = (mpz_cmp_ui(&self->mpz, (unsigned long int)0) < 0)))
|
|
mpz_neg(&mpzscratch, &mpzscratch);
|
|
|
|
/* let those bits come, let those bits go,
|
|
e.g. dismantle mpzscratch, build PyLongObject */
|
|
|
|
bitpointer = 0; /* the number of valid bits in stock */
|
|
newbitpointer = 0;
|
|
ldcount = 0; /* the python-long limb counter */
|
|
uli = (unsigned long int)0;
|
|
while (i--) {
|
|
longobjp->ob_digit[ldcount] = uli & MASK;
|
|
|
|
/* check if we've had enough bits for this digit */
|
|
if (bitpointer < SHIFT) {
|
|
uli = mpz_get_ui(&mpzscratch);
|
|
longobjp->ob_digit[ldcount] |=
|
|
(uli << bitpointer) & MASK;
|
|
uli >>= SHIFT-bitpointer;
|
|
bitpointer += BITS_PER_MP_LIMB;
|
|
mpz_div_2exp(&mpzscratch, &mpzscratch,
|
|
BITS_PER_MP_LIMB);
|
|
}
|
|
else
|
|
uli >>= SHIFT;
|
|
bitpointer -= SHIFT;
|
|
ldcount++;
|
|
}
|
|
|
|
assert(mpz_cmp_ui(&mpzscratch, (unsigned long int)0) == 0);
|
|
mpz_clear(&mpzscratch);
|
|
assert(ldcount <= longobjp->ob_size);
|
|
|
|
/* long_normalize() is file-static */
|
|
/* longobjp = long_normalize(longobjp); */
|
|
while (ldcount > 0 && longobjp->ob_digit[ldcount-1] == 0)
|
|
ldcount--;
|
|
longobjp->ob_size = ldcount;
|
|
|
|
|
|
if (isnegative)
|
|
longobjp->ob_size = -longobjp->ob_size;
|
|
|
|
return (PyObject *)longobjp;
|
|
|
|
} /* mpz_long() */
|
|
|
|
|
|
/* I would have avoided pow() anyways, so ... */
|
|
static const double multiplier = 256.0 * 256.0 * 256.0 * 256.0;
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
static PyObject *
|
|
mpz_float(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
#else /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
static PyObject *
|
|
mpz_float(self)
|
|
mpzobject *self;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS else */
|
|
{
|
|
int i, isnegative;
|
|
double x;
|
|
double mulstate;
|
|
MP_INT mpzscratch;
|
|
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
|
|
i = (int)mpz_size(&self->mpz);
|
|
|
|
/* determine sign, and copy abs(self) to scratch var */
|
|
if ((isnegative = (mpz_cmp_ui(&self->mpz, (unsigned long int)0) < 0)))
|
|
{
|
|
mpz_init(&mpzscratch);
|
|
mpz_neg(&mpzscratch, &self->mpz);
|
|
}
|
|
else
|
|
mpz_init_set(&mpzscratch, &self->mpz);
|
|
|
|
/* let those bits come, let those bits go,
|
|
e.g. dismantle mpzscratch, build PyFloatObject */
|
|
|
|
/* Can this overflow? Dunno, protect against that possibility. */
|
|
PyFPE_START_PROTECT("mpz_float", return 0)
|
|
x = 0.0;
|
|
mulstate = 1.0;
|
|
while (i--) {
|
|
x += mulstate * mpz_get_ui(&mpzscratch);
|
|
mulstate *= multiplier;
|
|
mpz_div_2exp(&mpzscratch, &mpzscratch, BITS_PER_MP_LIMB);
|
|
}
|
|
PyFPE_END_PROTECT(mulstate)
|
|
|
|
assert(mpz_cmp_ui(&mpzscratch, (unsigned long int)0) == 0);
|
|
mpz_clear(&mpzscratch);
|
|
|
|
if (isnegative)
|
|
x = -x;
|
|
|
|
return PyFloat_FromDouble(x);
|
|
|
|
} /* mpz_float() */
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
static PyObject *
|
|
mpz_hex(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
#else /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
static PyObject *
|
|
mpz_hex(self)
|
|
mpzobject *self;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS else */
|
|
{
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
|
|
return mpz_format(self, 16, (unsigned char)1);
|
|
} /* mpz_hex() */
|
|
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
static PyObject *
|
|
mpz_oct(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
#else /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
static PyObject *
|
|
mpz_oct(self)
|
|
mpzobject *self;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS else */
|
|
{
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
|
|
return mpz_format(self, 8, (unsigned char)1);
|
|
} /* mpz_oct() */
|
|
|
|
static PyObject *
|
|
mpz_binary(self, args)
|
|
mpzobject *self;
|
|
PyObject *args;
|
|
{
|
|
int size;
|
|
PyStringObject *strobjp;
|
|
char *cp;
|
|
MP_INT mp;
|
|
unsigned long ldigit;
|
|
|
|
if (!PyArg_NoArgs(args))
|
|
return NULL;
|
|
|
|
if (mpz_cmp_ui(&self->mpz, (unsigned long int)0) < 0) {
|
|
PyErr_SetString(PyExc_ValueError,
|
|
"mpz.binary() arg must be >= 0");
|
|
return NULL;
|
|
}
|
|
|
|
mpz_init_set(&mp, &self->mpz);
|
|
size = (int)mpz_size(&mp);
|
|
|
|
if ((strobjp = (PyStringObject *)
|
|
PyString_FromStringAndSize(
|
|
(char *)0, size * sizeof (unsigned long int))) == NULL)
|
|
return NULL;
|
|
|
|
/* get the beginning of the string memory and start copying things */
|
|
cp = PyString_AS_STRING(strobjp);
|
|
|
|
/* this has been programmed using a (fairly) decent lib-i/f it could
|
|
be must faster if we looked into the GMP lib */
|
|
while (size--) {
|
|
ldigit = mpz_get_ui(&mp);
|
|
mpz_div_2exp(&mp, &mp, BITS_PER_MP_LIMB);
|
|
*cp++ = (unsigned char)(ldigit & 0xFF);
|
|
*cp++ = (unsigned char)((ldigit >>= 8) & 0xFF);
|
|
*cp++ = (unsigned char)((ldigit >>= 8) & 0xFF);
|
|
*cp++ = (unsigned char)((ldigit >>= 8) & 0xFF);
|
|
}
|
|
|
|
while (strobjp->ob_size && !*--cp)
|
|
strobjp->ob_size--;
|
|
|
|
return (PyObject *)strobjp;
|
|
} /* mpz_binary() */
|
|
|
|
|
|
static PyMethodDef mpz_methods[] = {
|
|
#ifdef MPZ_CONVERSIONS_AS_METHODS
|
|
{"int", mpz_int},
|
|
{"long", mpz_long},
|
|
{"float", mpz_float},
|
|
{"hex", mpz_hex},
|
|
{"oct", mpz_oct},
|
|
#endif /* def MPZ_CONVERSIONS_AS_METHODS */
|
|
{"binary", (PyCFunction)mpz_binary},
|
|
{NULL, NULL} /* sentinel */
|
|
};
|
|
|
|
static PyObject *
|
|
mpz_getattr(self, name)
|
|
mpzobject *self;
|
|
char *name;
|
|
{
|
|
return Py_FindMethod(mpz_methods, (PyObject *)self, name);
|
|
} /* mpz_getattr() */
|
|
|
|
|
|
static int
|
|
mpz_coerce(pv, pw)
|
|
PyObject **pv;
|
|
PyObject **pw;
|
|
{
|
|
PyObject *z;
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fputs("mpz_coerce() called...\n", stderr);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
assert(is_mpzobject(*pv));
|
|
|
|
/* always convert other arg to mpz value, except for floats */
|
|
if (!PyFloat_Check(*pw)) {
|
|
if ((z = (PyObject *)mpz_mpzcoerce(*pw)) == NULL)
|
|
return -1; /* -1: an error always has been set */
|
|
|
|
Py_INCREF(*pv);
|
|
*pw = z;
|
|
}
|
|
else {
|
|
if ((z = mpz_float(*pv, NULL)) == NULL)
|
|
return -1;
|
|
|
|
Py_INCREF(*pw);
|
|
*pv = z;
|
|
}
|
|
return 0; /* coercion succeeded */
|
|
|
|
} /* mpz_coerce() */
|
|
|
|
|
|
static PyObject *
|
|
mpz_repr(v)
|
|
PyObject *v;
|
|
{
|
|
return mpz_format(v, 10, (unsigned char)1);
|
|
} /* mpz_repr() */
|
|
|
|
|
|
|
|
#define UF (unaryfunc)
|
|
#define BF (binaryfunc)
|
|
#define TF (ternaryfunc)
|
|
#define IF (inquiry)
|
|
#define CF (coercion)
|
|
|
|
static PyNumberMethods mpz_as_number = {
|
|
BF mpz_addition, /*nb_add*/
|
|
BF mpz_substract, /*nb_subtract*/
|
|
BF mpz_multiply, /*nb_multiply*/
|
|
BF mpz_divide, /*nb_divide*/
|
|
BF mpz_remainder, /*nb_remainder*/
|
|
BF mpz_div_and_mod, /*nb_divmod*/
|
|
TF mpz_power, /*nb_power*/
|
|
UF mpz_negative, /*nb_negative*/
|
|
UF mpz_positive, /*tp_positive*/
|
|
UF mpz_absolute, /*tp_absolute*/
|
|
IF mpz_nonzero, /*tp_nonzero*/
|
|
UF py_mpz_invert, /*nb_invert*/
|
|
BF mpz_lshift, /*nb_lshift*/
|
|
BF mpz_rshift, /*nb_rshift*/
|
|
BF mpz_andfunc, /*nb_and*/
|
|
BF mpz_xorfunc, /*nb_xor*/
|
|
BF mpz_orfunc, /*nb_or*/
|
|
CF mpz_coerce, /*nb_coerce*/
|
|
#ifndef MPZ_CONVERSIONS_AS_METHODS
|
|
UF mpz_int, /*nb_int*/
|
|
UF mpz_long, /*nb_long*/
|
|
UF mpz_float, /*nb_float*/
|
|
UF mpz_oct, /*nb_oct*/
|
|
UF mpz_hex, /*nb_hex*/
|
|
#endif /* ndef MPZ_CONVERSIONS_AS_METHODS */
|
|
};
|
|
|
|
static PyTypeObject MPZtype = {
|
|
PyObject_HEAD_INIT(&PyType_Type)
|
|
0, /*ob_size*/
|
|
"mpz", /*tp_name*/
|
|
sizeof(mpzobject), /*tp_size*/
|
|
0, /*tp_itemsize*/
|
|
/* methods */
|
|
(destructor)mpz_dealloc, /*tp_dealloc*/
|
|
0, /*tp_print*/
|
|
(getattrfunc)mpz_getattr, /*tp_getattr*/
|
|
0, /*tp_setattr*/
|
|
(cmpfunc)mpz_compare, /*tp_compare*/
|
|
(reprfunc)mpz_repr, /*tp_repr*/
|
|
&mpz_as_number, /*tp_as_number*/
|
|
};
|
|
|
|
/* List of functions exported by this module */
|
|
|
|
static PyMethodDef mpz_functions[] = {
|
|
#if 0
|
|
{initialiser_name, MPZ_mpz},
|
|
#else /* 0 */
|
|
/* until guido ``fixes'' struct PyMethodDef */
|
|
{(char *)initialiser_name, MPZ_mpz},
|
|
#endif /* 0 else */
|
|
{"powm", MPZ_powm},
|
|
{"gcd", MPZ_gcd},
|
|
{"gcdext", MPZ_gcdext},
|
|
{"sqrt", MPZ_sqrt},
|
|
{"sqrtrem", MPZ_sqrtrem},
|
|
{"divm", MPZ_divm},
|
|
{NULL, NULL} /* Sentinel */
|
|
};
|
|
|
|
|
|
/* #define MP_TEST_ALLOC */
|
|
|
|
#ifdef MP_TEST_ALLOC
|
|
#define MP_TEST_SIZE 4
|
|
static const char mp_test_magic[MP_TEST_SIZE] = {'\xAA','\xAA','\xAA','\xAA'};
|
|
static mp_test_error( location )
|
|
int *location;
|
|
{
|
|
/* assumptions: *alloc returns address dividable by 4,
|
|
mpz_* routines allocate in chunks dividable by four */
|
|
fprintf(stderr, "MP_TEST_ERROR: location holds 0x%08d\n", *location );
|
|
Py_FatalError("MP_TEST_ERROR");
|
|
} /* static mp_test_error() */
|
|
#define MP_EXTRA_ALLOC(size) ((size) + MP_TEST_SIZE)
|
|
#define MP_SET_TEST(basep,size) (void)memcpy( ((char *)(basep))+(size), mp_test_magic, MP_TEST_SIZE)
|
|
#define MP_DO_TEST(basep,size) if ( !memcmp( ((char *)(basep))+(size), mp_test_magic, MP_TEST_SIZE ) ) \
|
|
; \
|
|
else \
|
|
mp_test_error((int *)((char *)(basep) + size))
|
|
#else /* def MP_TEST_ALLOC */
|
|
#define MP_EXTRA_ALLOC(size) (size)
|
|
#define MP_SET_TEST(basep,size)
|
|
#define MP_DO_TEST(basep,size)
|
|
#endif /* def MP_TEST_ALLOC else */
|
|
|
|
void *mp_allocate( alloc_size )
|
|
size_t alloc_size;
|
|
{
|
|
void *res;
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fprintf(stderr, "mp_allocate : size %ld\n",
|
|
alloc_size);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
if ( (res = malloc(MP_EXTRA_ALLOC(alloc_size))) == NULL )
|
|
Py_FatalError("mp_allocate failure");
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fprintf(stderr, "mp_allocate : address 0x%08x\n", res);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
MP_SET_TEST(res,alloc_size);
|
|
|
|
return res;
|
|
} /* mp_allocate() */
|
|
|
|
|
|
void *mp_reallocate( ptr, old_size, new_size )
|
|
void *ptr;
|
|
size_t old_size;
|
|
size_t new_size;
|
|
{
|
|
void *res;
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fprintf(stderr, "mp_reallocate: old address 0x%08x, old size %ld\n",
|
|
ptr, old_size);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
MP_DO_TEST(ptr, old_size);
|
|
|
|
if ( (res = realloc(ptr, MP_EXTRA_ALLOC(new_size))) == NULL )
|
|
Py_FatalError("mp_reallocate failure");
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fprintf(stderr, "mp_reallocate: new address 0x%08x, new size %ld\n",
|
|
res, new_size);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
MP_SET_TEST(res, new_size);
|
|
|
|
return res;
|
|
} /* mp_reallocate() */
|
|
|
|
|
|
void mp_free( ptr, size )
|
|
void *ptr;
|
|
size_t size;
|
|
{
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fprintf(stderr, "mp_free : old address 0x%08x, old size %ld\n",
|
|
ptr, size);
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
MP_DO_TEST(ptr, size);
|
|
free(ptr);
|
|
} /* mp_free() */
|
|
|
|
|
|
|
|
/* Initialize this module. */
|
|
|
|
void
|
|
initmpz()
|
|
{
|
|
PyObject *module;
|
|
PyObject *dict;
|
|
|
|
#ifdef MPZ_DEBUG
|
|
fputs( "initmpz() called...\n", stderr );
|
|
#endif /* def MPZ_DEBUG */
|
|
|
|
mp_set_memory_functions( mp_allocate, mp_reallocate, mp_free );
|
|
module = Py_InitModule("mpz", mpz_functions);
|
|
|
|
/* create some frequently used constants */
|
|
if ((mpz_value_zero = newmpzobject()) == NULL)
|
|
Py_FatalError("initmpz: can't initialize mpz constants");
|
|
mpz_set_ui(&mpz_value_zero->mpz, (unsigned long int)0);
|
|
|
|
if ((mpz_value_one = newmpzobject()) == NULL)
|
|
Py_FatalError("initmpz: can't initialize mpz constants");
|
|
mpz_set_ui(&mpz_value_one->mpz, (unsigned long int)1);
|
|
|
|
if ((mpz_value_mone = newmpzobject()) == NULL)
|
|
Py_FatalError("initmpz: can't initialize mpz constants");
|
|
mpz_set_si(&mpz_value_mone->mpz, (long)-1);
|
|
|
|
dict = PyModule_GetDict(module);
|
|
if (dict != NULL) {
|
|
PyDict_SetItemString(dict, "MPZType", (PyObject*)&MPZtype);
|
|
}
|
|
|
|
} /* initmpz() */
|
|
#ifdef MAKEDUMMYINT
|
|
int _mpz_dummy_int; /* XXX otherwise, we're .bss-less (DYNLOAD->Jack?) */
|
|
#endif /* def MAKEDUMMYINT */
|