/* -*-c-*-
*
- * $Id$
- *
* Multiprecision arithmetic
*
* (c) 2004 Straylight/Edgeware
*/
-/*----- Licensing notice --------------------------------------------------*
+/*----- Licensing notice --------------------------------------------------*
*
* This file is part of the Python interface to Catacomb.
*
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
- *
+ *
* Catacomb/Python 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 General Public License for more details.
- *
+ *
* You should have received a copy of the GNU General Public License
* along with Catacomb/Python; if not, write to the Free Software Foundation,
* Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
PyTypeObject *mp_pytype = 0;
PyTypeObject *gf_pytype = 0;
-mp *mp_frompylong(PyLongObject *l)
+#ifndef PyLong_SHIFT
+# define PyLong_SHIFT SHIFT
+#endif
+
+#ifndef PyLong_MASK
+# define PyLong_MASK MASK
+#endif
+
+STATIC_ASSERT(MPW_BITS >= PyLong_SHIFT,
+ "Catacomb's limbs are now narrower than than Python's!");
+
+mp *mp_frompylong(PyObject *obj)
{
unsigned long bits;
+ PyLongObject *l = (PyLongObject *)obj;
int sz;
size_t w;
mpd r = 0;
mp *x;
mpw *p;
- sz = l->ob_size;
+ sz = Py_SIZE(l);
if (sz < 0) sz = -sz;
- assert(MPW_BITS >= SHIFT);
- bits = (unsigned long)sz * SHIFT;
+ bits = (unsigned long)sz * PyLong_SHIFT;
w = (bits + MPW_BITS - 1)/MPW_BITS;
- x = mp_new(w, l->ob_size < 0 ? MP_NEG : 0);
+ x = mp_new(w, Py_SIZE(l) < 0 ? MP_NEG : 0);
p = x->v;
for (i = 0; i < sz; i++) {
r |= (mpd)l->ob_digit[i] << b;
- b += SHIFT;
+ b += PyLong_SHIFT;
while (b >= MPW_BITS) {
*p++ = MPW(r);
r >>= MPW_BITS;
return (x);
}
-PyLongObject *mp_topylong(mp *x)
+PyObject *mp_topylong(mp *x)
{
unsigned long bits = mp_bits(x);
- int sz = (bits + SHIFT - 1)/SHIFT;
+ int sz = (bits + PyLong_SHIFT - 1)/PyLong_SHIFT;
PyLongObject *l = _PyLong_New(sz);
mpd r = 0;
int b = 0;
mpw *p = x->v;
int i = 0;
- assert(MPW_BITS >= SHIFT);
while (i < sz && p < x->vl) {
- r |= *p << b;
+ r |= (mpd)*p++ << b;
b += MPW_BITS;
- while (i < sz && b >= SHIFT) {
- l->ob_digit[i++] = r & MASK;
- r >>= SHIFT;
- b -= SHIFT;
+ while (i < sz && b >= PyLong_SHIFT) {
+ l->ob_digit[i++] = r & PyLong_MASK;
+ r >>= PyLong_SHIFT;
+ b -= PyLong_SHIFT;
}
}
while (i < sz && r) {
- l->ob_digit[i++] = r & MASK;
- r >>= SHIFT;
+ l->ob_digit[i++] = r & PyLong_MASK;
+ r >>= PyLong_SHIFT;
}
- l->ob_size = (x->f & MP_NEG) ? -sz : sz;
- return (l);
+ Py_SIZE(l) = (x->f & MP_NEG) ? -sz : sz;
+ return ((PyObject *)l);
}
mp *mp_frompyobject(PyObject *o, int radix)
{
mp *x;
- if ((x = tomp(o)) != 0)
- return (x);
- if (PyString_Check(o)) {
+ if (TEXT_CHECK(o)) {
mptext_stringctx sc;
mp *x;
- sc.buf = PyString_AS_STRING(o);
- sc.lim = sc.buf + PyString_GET_SIZE(o);
+ size_t sz;
+ TEXT_PTRLEN(o, sc.buf, sz); sc.lim = sc.buf + sz;
x = mp_read(MP_NEW, radix, &mptext_stringops, &sc);
if (!x) return (0);
if (sc.buf < sc.lim) { MP_DROP(x); return (0); }
return (x);
}
+ if ((x = tomp(o)) != 0)
+ return (x);
return (0);
}
size_t postlen = post ? strlen(post) : 0;
char *p;
MP_COPY(x);
- o = PyString_FromStringAndSize(0, len + 1 + xprelen + prelen + postlen);
- p = PyString_AS_STRING(o);
+ TEXT_PREPAREWRITE(o, p, len + 1 + xprelen + prelen + postlen);
sc.buf = p;
if (xpre) { memcpy(sc.buf, xpre, xprelen); sc.buf += xprelen; }
if (MP_NEGP(x)) { *sc.buf++ = '-'; x = mp_neg(x, x); }
mp_write(x, radix, &mptext_stringops, &sc);
if (post) { memcpy(sc.buf, post, postlen); sc.buf += postlen; }
MP_DROP(x);
- _PyString_Resize(&o, sc.buf - p);
+ TEXT_DONEWRITE(o, sc.buf - p);
return (o);
}
+static int good_radix_p(int r, int readp)
+{
+ return ((r >= -255 && r <= -2) ||
+ (readp && r == 0) ||
+ (r >= 2 && r <= 62));
+}
+
PyObject *mp_pywrap(mp *x)
{
mp_pyobj *z = PyObject_New(mp_pyobj, mp_pytype);
return ((PyObject *)z);
}
-int mp_tolong_checked(mp *x, long *l)
+int mp_tolong_checked(mp *x, long *l, int must)
{
static mp *longmin = 0, *longmax = 0;
int rc = -1;
longmin = mp_fromlong(MP_NEW, LONG_MIN);
longmax = mp_fromlong(MP_NEW, LONG_MAX);
}
- if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax))
- VALERR("mp out of range for int");
+ if (MP_CMP(x, <, longmin) || MP_CMP(x, >, longmax)) {
+ if (must) VALERR("mp out of range for int");
+ else goto end;
+ }
*l = mp_tolong(x);
rc = 0;
end:
return (MP_COPY(PFILT_F(o)->m));
else if (ECPT_PYCHECK(o)) {
ec p = EC_INIT;
+ if (EC_ATINF(ECPT_P(o))) return (0);
getecptout(&p, o);
x = MP_COPY(p.x);
EC_DESTROY(&p);
} else if (PyInt_Check(o))
return (mp_fromlong(MP_NEW, PyInt_AS_LONG(o)));
else if ((l = PyNumber_Long(o)) != 0) {
- x = mp_frompylong((PyLongObject *)l);
+ x = mp_frompylong(l);
Py_DECREF(l);
return (x);
} else {
if (!o) return (0);
if ((x = tomp(o)) == 0) {
PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
- o->ob_type->tp_name);
+ Py_TYPE(o)->tp_name);
}
return (x);
}
if (!o) return (0);
if ((x = tomp(o)) == 0) {
PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
- o->ob_type->tp_name);
+ Py_TYPE(o)->tp_name);
}
return (x);
}
return (1);
}
+static mp *implicitmp(PyObject *o)
+{
+ if (!o ||
+ GF_PYCHECK(o) ||
+ ECPT_PYCHECK(o) ||
+ FE_PYCHECK(o) ||
+ GE_PYCHECK(o))
+ return (0);
+ return (tomp(o));
+}
+
+static mp *implicitgf(PyObject *o)
+{
+ if (!o ||
+ MP_PYCHECK(o) ||
+ ECPT_PYCHECK(o) ||
+ FE_PYCHECK(o) ||
+ GE_PYCHECK(o))
+ return (0);
+ return (tomp(o));
+}
+
static int mpbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
{
- if ((*xx = tomp(x)) == 0)
+ if ((*xx = implicitmp(x)) == 0)
+ return (-1);
+ if ((*yy = implicitmp(y)) == 0) {
+ MP_DROP(*xx);
+ return (-1);
+ }
+ return (0);
+}
+
+static int gfbinop(PyObject *x, PyObject *y, mp **xx, mp **yy)
+{
+ if ((*xx = implicitgf(x)) == 0)
return (-1);
- if ((*yy = tomp(y)) == 0) {
+ if ((*yy = implicitgf(y)) == 0) {
MP_DROP(*xx);
return (-1);
}
#define BINOP(pre, name) \
static PyObject *pre##_py##name(PyObject *x, PyObject *y) { \
mp *xx, *yy, *zz; \
- if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
+ if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
zz = pre##_##name(MP_NEW, xx, yy); \
MP_DROP(xx); MP_DROP(yy); \
return (pre##_pywrap(zz)); \
mp *xx, *yy; \
PyObject *z = 0; \
long n; \
- if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
- if (mp_tolong_checked(yy, &n)) goto end; \
+ if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
+ if (mp_tolong_checked(yy, &n, 1)) goto end; \
if (n < 0) \
z = pre##_pywrap(mp_##rname(MP_NEW, xx, -n)); \
else \
mp *xx, *yy; \
PyObject *z = 0; \
INIT_##qq(q) INIT_##rr(r) \
- if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
+ if (pre##binop(x, y, &xx, &yy)) RETURN_NOTIMPL; \
if (MP_ZEROP(yy)) \
ZDIVERR("division by zero"); \
pre##_div(ARG_##qq(q), ARG_##rr(r), xx, yy); \
mp *r = 0;
PyObject *rc = 0;
- if ((xx = tomp(x)) == 0 || (yy = tomp(y)) == 0 ||
+ if ((xx = implicitmp(x)) == 0 || (yy = implicitmp(y)) == 0 ||
(z && z != Py_None && (zz = tomp(z)) == 0)) {
mp_drop(xx); mp_drop(yy); mp_drop(zz);
RETURN_NOTIMPL;
static PyObject *mp_pyint(PyObject *x)
{
long l;
- if (mp_tolong_checked(MP_X(x), &l)) return (0);
- return (PyInt_FromLong(l));
+ if (!mp_tolong_checked(MP_X(x), &l, 0)) return (PyInt_FromLong(l));
+ else return mp_topylong(MP_X(x));
}
static PyObject *mp_pylong(PyObject *x)
- { return (PyObject *)mp_topylong(MP_X(x)); }
+ { return (mp_topylong(MP_X(x))); }
static PyObject *mp_pyfloat(PyObject *x)
{
- PyObject *l = (PyObject *)mp_topylong(MP_X(x));
+ PyObject *l = mp_topylong(MP_X(x));
double f = PyLong_AsDouble(l);
Py_DECREF(l);
return (PyFloat_FromDouble(f));
}
-#define COERCE(pre, PRE) \
+#define COERCE(pre, PRE) \
static int pre##_pycoerce(PyObject **x, PyObject **y) \
{ \
mp *z; \
mp *z;
mp_pyobj *zz = 0;
int radix = 0;
- char *kwlist[] = { "x", "radix", 0 };
+ static const char *const kwlist[] = { "x", "radix", 0 };
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:mp", kwlist, &x, &radix))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:new", KWLIST, &x, &radix))
goto end;
if (MP_PYCHECK(x)) RETURN_OBJ(x);
- if (radix < -255 || radix > 62) VALERR("radix out of range");
+ if (!good_radix_p(radix, 1)) VALERR("bad radix");
if ((z = mp_frompyobject(x, radix)) == 0) {
PyErr_Format(PyExc_TypeError, "can't convert %.100s to mp",
- x->ob_type->tp_name);
+ Py_TYPE(x)->tp_name);
goto end;
}
zz = (mp_pyobj *)ty->tp_alloc(ty, 0);
return ((PyObject *)zz);
}
-static long mp_pyhash(PyObject *me)
+Py_hash_t mphash(mp *x)
{
- long i = mp_tolong(MP_X(me));
- if (i == -1)
- i = -2;
- return (i);
+ PyObject *l = mp_topylong(x);
+ Py_hash_t h = PyObject_Hash(l);
+ Py_DECREF(l); return (h);
}
+static Py_hash_t mp_pyhash(PyObject *me) { return (mphash(MP_X(me))); }
+
static PyObject *mpmeth_jacobi(PyObject *me, PyObject *arg)
{
mp *y = 0;
#define BITOP(pre, name, c) \
static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
{ \
- int i; \
- if (!PyArg_ParseTuple(arg, "i:" #name, &i)) return (0); \
+ unsigned long i; \
+ if (!PyArg_ParseTuple(arg, "O&:" #name, convulong, &i)) return (0); \
return (pre##_pywrap(mp_##name##c(MP_NEW, MP_X(me), i))); \
}
BITOP(mp, setbit, 2c);
BITOP(mp, clearbit, 2c);
-BITOP(gf, setbit, );
+BITOP(gf, setbit, );
BITOP(gf, clearbit, );
#undef BITOP
static PyObject *mpmeth_testbit(PyObject *me, PyObject *arg)
{
- int i;
- if (!PyArg_ParseTuple(arg, "i:testbit", &i)) return (0);
+ unsigned long i;
+ if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
return (getbool(mp_testbit2c(MP_X(me), i)));
}
static PyObject *gfmeth_testbit(PyObject *me, PyObject *arg)
{
- int i;
- if (!PyArg_ParseTuple(arg, "i:testbit", &i)) return (0);
+ unsigned long i;
+ if (!PyArg_ParseTuple(arg, "O&:testbit", convulong, &i)) return (0);
return (getbool(mp_testbit(MP_X(me), i)));
}
-static PyObject *mpmeth_odd(PyObject *me, PyObject *arg)
+static PyObject *mpmeth_odd(PyObject *me)
{
mp *t;
size_t s;
- if (!PyArg_ParseTuple(arg, ":odd")) return (0);
t = mp_odd(MP_NEW, MP_X(me), &s);
return (Py_BuildValue("(lN)", (long)s, mp_pywrap(t)));
}
-static PyObject *mpmeth_sqr(PyObject *me, PyObject *arg)
-{
- if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
- return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me))));
-}
+static PyObject *mpmeth_sqr(PyObject *me)
+ { return (mp_pywrap(mp_sqr(MP_NEW, MP_X(me)))); }
-static PyObject *mpmeth_sqrt(PyObject *me, PyObject *arg)
+static PyObject *mpmeth_sqrt(PyObject *me)
{
- if (!PyArg_ParseTuple(arg, ":sqrt")) return (0);
if (MP_NEGP(MP_X(me))) VALERR("negative root");
return (mp_pywrap(mp_sqrt(MP_NEW, MP_X(me))));
end:
static PyObject *mpmeth_tostring(PyObject *me, PyObject *arg, PyObject *kw)
{
int radix = 10;
- char *kwlist[] = { "radix", 0 };
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", kwlist, &radix))
+ static const char *const kwlist[] = { "radix", 0 };
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "|i:tostring", KWLIST, &radix))
goto end;
- if (radix < -255 || radix > 62 || radix == -1 || radix == 0 || radix == 1)
- VALERR("bad radix");
+ if (!good_radix_p(radix, 0)) VALERR("bad radix");
return (mp_topystring(MP_X(me), radix, 0, 0, 0));
end:
return (0);
return (z);
}
+static PyObject *mpmeth_leastcongruent(PyObject *me, PyObject *arg)
+{
+ mp *z, *b, *m;
+ PyObject *rc = 0;
+
+ if (!PyArg_ParseTuple(arg, "O&O&:leastcongruent", convmp, &b, convmp, &m))
+ goto end;
+ z = mp_leastcongruent(MP_NEW, b, MP_X(me), m);
+ rc = mp_pywrap(z);
+end:
+ return (rc);
+}
+
#define STOREOP(name, c) \
static PyObject *mpmeth_##name(PyObject *me, \
PyObject *arg, PyObject *kw) \
{ \
long len = -1; \
- char *kwlist[] = { "len", 0 }; \
+ static const char *const kwlist[] = { "len", 0 }; \
PyObject *rc = 0; \
\
if (!PyArg_ParseTupleAndKeywords(arg, kw, "|l:" #name, \
- kwlist, &len)) \
+ KWLIST, &len)) \
goto end; \
if (len < 0) { \
len = mp_octets##c(MP_X(me)); \
if (!len) len = 1; \
} \
rc = bytestring_pywrap(0, len); \
- mp_##name(MP_X(me), PyString_AS_STRING(rc), len); \
+ mp_##name(MP_X(me), BIN_PTR(rc), len); \
end: \
return (rc); \
}
STOREOP(storeb2c, 2c)
#undef STOREOP
-#define BUFOP(ty, pyty) \
- static PyObject *meth__##pyty##_frombuf(PyObject *me, PyObject *arg) \
+#define BUFOP(ty) \
+ static PyObject *ty##meth_frombuf(PyObject *me, PyObject *arg) \
{ \
buf b; \
- char *p; \
- int sz; \
+ struct bin in; \
PyObject *rc = 0; \
mp *x; \
\
- if (!PyArg_ParseTuple(arg, "Os#:frombuf", &me, &p, &sz)) goto end; \
- buf_init(&b, p, sz); \
+ if (!PyArg_ParseTuple(arg, "O&:frombuf", convbin, &in)) goto end; \
+ buf_init(&b, (/*unconst*/ void *)in.p, in.sz); \
if ((x = buf_getmp(&b)) == 0) VALERR("malformed data"); \
rc = Py_BuildValue("(NN)", ty##_pywrap(x), \
bytestring_pywrapbuf(&b)); \
end: \
return (rc); \
}
-BUFOP(mp, MP)
-BUFOP(gf, GF)
+BUFOP(mp)
+BUFOP(gf)
#undef BUFOP
-static PyObject *mpmeth_tobuf(PyObject *me, PyObject *arg)
+static PyObject *mpmeth_tobuf(PyObject *me)
{
buf b;
PyObject *rc;
mp *x;
size_t n;
- if (!PyArg_ParseTuple(arg, ":tobuf")) return (0);
x = MP_X(me);
n = mp_octets(x) + 3;
rc = bytestring_pywrap(0, n);
- buf_init(&b, PyString_AS_STRING(rc), n);
+ buf_init(&b, BIN_PTR(rc), n);
buf_putmp(&b, x);
assert(BOK(&b));
- _PyString_Resize(&rc, BLEN(&b));
+ BIN_SETLEN(rc, BLEN(&b));
return (rc);
}
static PyObject *mpmeth_primep(PyObject *me, PyObject *arg, PyObject *kw)
{
grand *r = &rand_global;
- char *kwlist[] = { "rng", 0 };
+ static const char *const kwlist[] = { "rng", 0 };
PyObject *rc = 0;
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", kwlist, convgrand, &r))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "|O&", KWLIST, convgrand, &r))
goto end;
rc = getbool(pgen_primep(MP_X(me), r));
end:
return (rc);
}
+static PyObject *mpmeth_fromstring(PyObject *me,
+ PyObject *arg, PyObject *kw)
+{
+ int r = 0;
+ char *p;
+ Py_ssize_t len;
+ PyObject *z = 0;
+ mp *zz;
+ mptext_stringctx sc;
+ static const char *const kwlist[] = { "x", "radix", 0 };
+
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST,
+ &p, &len, &r))
+ goto end;
+ if (!good_radix_p(r, 1)) VALERR("bad radix");
+ sc.buf = p; sc.lim = p + len;
+ if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
+ VALERR("bad integer");
+ z = Py_BuildValue("(Ns#)", mp_pywrap(zz),
+ sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
+end:
+ return (z);
+}
+
+static PyObject *mpmeth_factorial(PyObject *me, PyObject *arg)
+{
+ unsigned long i;
+ mp *x;
+ if (!PyArg_ParseTuple(arg, "O&:factorial", convulong, &i)) return (0);
+ x = mp_factorial(i);
+ return mp_pywrap(x);
+}
+
+static PyObject *mpmeth_fibonacci(PyObject *me, PyObject *arg)
+{
+ long i;
+ mp *x;
+ if (!PyArg_ParseTuple(arg, "l:fibonacci", &i)) return (0);
+ x = mp_fibonacci(i);
+ return mp_pywrap(x);
+}
+
+#define LOADOP(pre, name) \
+ static PyObject *pre##meth_##name(PyObject *me, PyObject *arg) \
+ { \
+ struct bin in; \
+ if (!PyArg_ParseTuple(arg, "O&:" #name, convbin, &in)) return (0); \
+ return (pre##_pywrap(mp_##name(MP_NEW, in.p, in.sz))); \
+ }
+LOADOP(mp, loadl)
+LOADOP(mp, loadb)
+LOADOP(mp, loadl2c)
+LOADOP(mp, loadb2c)
+LOADOP(gf, loadl)
+LOADOP(gf, loadb)
+#undef LOADOP
+
static PyObject *mpget_nbits(PyObject *me, void *hunoz)
{ return (PyInt_FromLong(mp_bits(MP_X(me)))); }
static PyObject *mpget_noctets2c(PyObject *me, void *hunoz)
{ return (PyInt_FromLong(mp_octets2c(MP_X(me)))); }
-static PyGetSetDef mp_pygetset[] = {
+static const PyGetSetDef mp_pygetset[] = {
#define GETSETNAME(op, func) mp##op##_##func
GET (nbits, "X.nbits -> bit length of X")
GET (noctets, "X.noctets -> octet length of X")
{ 0 }
};
-static PyMethodDef mp_pymethods[] = {
+static const PyMethodDef mp_pymethods[] = {
#define METHNAME(func) mpmeth_##func
- METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y/X) (NB inversion!)")
+ METH (jacobi, "X.jacobi(Y) -> Jacobi symbol (Y|X) (NB inversion!)")
METH (setbit, "X.setbit(N) -> X with bit N set")
METH (clearbit, "X.clearbit(N) -> X with bit N clear")
METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
- METH (odd, "X.odd() -> S, T where X = 2^S T with T odd")
- METH (sqr, "X.sqr() -> X^2")
- METH (sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
+ NAMETH(odd, "X.odd() -> S, T where X = 2^S T with T odd")
+ NAMETH(sqr, "X.sqr() -> X^2")
+ NAMETH(sqrt, "X.sqrt() -> largest integer <= sqrt(X)")
METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
- METH (gcdx,
- "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
+ METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) "
+ "with X U + Y V = gcd(X, Y)")
METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
METH (modsqrt, "X.modsqrt(Y) -> square root of Y mod X, if X prime")
- KWMETH(primep, "X.primep(rng = rand) -> true/false if X is prime")
- KWMETH(tostring, "X.tostring(radix = 10) -> STR")
- KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
- KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
- KWMETH(storel2c,
- "X.storel2c(len = -1) -> little-endian bytes, two's complement")
- KWMETH(storeb2c,
- "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
- METH (tobuf, "X.tobuf() -> buffer format")
+ METH (leastcongruent, "X.leastcongruent(B, M) -> "
+ "smallest Z >= B with Z == X (mod M)")
+ KWMETH(primep, "X.primep([rng = rand]) -> X is prime?")
+ KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
+ KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
+ KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
+ KWMETH(storel2c, "X.storel2c([len = -1]) -> "
+ "little-endian bytes, two's complement")
+ KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
+ "big-endian bytes, two's complement")
+ NAMETH(tobuf, "X.tobuf() -> buffer format")
+ KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
+ " Parse STR as a large integer, according to RADIX. If RADIX is\n"
+ " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
+ " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
+ SMTH (factorial, "factorial(I) -> I!: compute factorial")
+ SMTH (fibonacci, "fibonacci(I) -> F(I): compute Fibonacci number")
+ SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
+ SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
+ SMTH (loadl2c, "loadl2c(STR) -> X: "
+ "read little-endian bytes, two's complement")
+ SMTH (loadb2c, "loadb2c(STR) -> X: "
+ "read big-endian bytes, two's complement")
+ SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
#undef METHNAME
{ 0 }
};
-static PyNumberMethods mp_pynumber = {
+static const PyNumberMethods mp_pynumber = {
mp_pyadd, /* @nb_add@ */
mp_pysub, /* @nb_subtract@ */
mp_pymul, /* @nb_multiply@ */
0, /* @nb_inplace_true_divide@ */
};
-static PyTypeObject mp_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.MP", /* @tp_name@ */
+static const PyTypeObject mp_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MP", /* @tp_name@ */
sizeof(mp_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
0, /* @tp_setattr@ */
mp_pycompare, /* @tp_compare@ */
mp_pyrepr, /* @tp_repr@ */
- &mp_pynumber, /* @tp_as_number@ */
+ PYNUMBER(mp), /* @tp_as_number@ */
0, /* @tp_as_sequence@ */
0, /* @tp_as_mapping@ */
mp_pyhash, /* @tp_hash@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"Multiprecision integers, similar to `long' but more efficient and\n\
-versatile. Support all the standard arithmetic operations.\n\
-\n\
-Constructor mp(X, radix = R) attempts to convert X to an `mp'. If\n\
-X is a string, it's read in radix-R form, or we look for a prefix\n\
-if R = 0. Other acceptable things are ints and longs.\n\
-\n\
-Notes:\n\
-\n\
- * Use `//' for division. MPs don't have `/' division.",
+ "Multiprecision integers, similar to `long' but more efficient and\n"
+ "versatile. Support all the standard arithmetic operations, with\n"
+ "implicit conversions from `PrimeFilter', and other objects which\n"
+ "convert to `long'.\n"
+ "\n"
+ "Constructor MP(X, [radix = R]) attempts to convert X to an `MP'. If\n"
+ "X is a string, it's read in radix-R form, or we look for a prefix\n"
+ "if R = 0. Other acceptable things are field elements, elliptic curve\n"
+ "points, group elements, Python `int' and `long' objects, and anything\n"
+ "with an integer conversion.\n"
+ "\n"
+ "Notes:\n"
+ "\n"
+ " * Use `//' for integer division: `/' gives exact rational division.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- mp_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mp), /* @tp_methods@ */
0, /* @tp_members@ */
- mp_pygetset, /* @tp_getset@ */
+ PYGETSET(mp), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
0 /* @tp_is_gc@ */
};
-static PyObject *meth__MP_fromstring(PyObject *me,
- PyObject *arg, PyObject *kw)
-{
- int r = 0;
- char *p;
- int len;
- PyObject *z = 0;
- mp *zz;
- mptext_stringctx sc;
- char *kwlist[] = { "class", "x", "radix", 0 };
+/*----- Products of small integers ----------------------------------------*/
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
- kwlist, &me, &p, &len, &r))
- goto end;
- if (r < -255 || r > 62) VALERR("radix out of range");
- sc.buf = p; sc.lim = p + len;
- if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0)
- SYNERR("bad integer");
- z = Py_BuildValue("(Ns#)", mp_pywrap(zz), sc.buf, (int)(sc.lim - sc.buf));
-end:
- return (z);
+static PyTypeObject *mpmul_pytype;
+
+typedef struct mpmul_pyobj {
+ PyObject_HEAD
+ int livep;
+ mpmul mm;
+} mpmul_pyobj;
+
+#define MPMUL_LIVEP(o) (((mpmul_pyobj *)(o))->livep)
+#define MPMUL_PY(o) (&((mpmul_pyobj *)(o))->mm)
+
+static void mpmul_pydealloc(PyObject *me)
+{
+ if (MPMUL_LIVEP(me))
+ mp_drop(mpmul_done(MPMUL_PY(me)));
+ FREEOBJ(me);
}
-static PyObject *meth__MP_product(PyObject *me, PyObject *arg)
+static PyObject *mmmeth_factor(PyObject *me, PyObject *arg)
{
- mpmul m;
PyObject *q, *i;
mp *x;
- if (PyTuple_Size(arg) != 2) {
+ if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
+ if (PyTuple_GET_SIZE(arg) != 1)
i = PyObject_GetIter(arg);
- PyIter_Next(i);
- } else {
- if ((q = PyTuple_GetItem(arg, 1)) == 0) return (0);
+ else {
+ if ((q = PyTuple_GET_ITEM(arg, 0)) == 0) goto end;
if ((i = PyObject_GetIter(q)) == 0) {
PyErr_Clear(); /* that's ok */
i = PyObject_GetIter(arg);
}
}
- if (!i) return (0);
- mpmul_init(&m);
+ if (!i) goto end;
while ((q = PyIter_Next(i)) != 0) {
x = getmp(q); Py_DECREF(q); if (!x) {
- MP_DROP(mpmul_done(&m));
Py_DECREF(i);
- return (0);
+ goto end;
}
- mpmul_add(&m, x);
+ mpmul_add(MPMUL_PY(me), x);
MP_DROP(x);
}
- x = mpmul_done(&m);
Py_DECREF(i);
+ RETURN_ME;
+end:
+ return (0);
+}
+
+static PyObject *mmmeth_done(PyObject *me)
+{
+ mp *x;
+
+ if (!MPMUL_LIVEP(me)) VALERR("MPMul object invalid");
+ x = mpmul_done(MPMUL_PY(me));
+ MPMUL_LIVEP(me) = 0;
return (mp_pywrap(x));
+end:
+ return (0);
}
-#define LOADOP(pre, py, name) \
- static PyObject *meth__##py##_##name(PyObject *me, PyObject *arg) \
- { \
- char *p; \
- int len; \
- if (!PyArg_ParseTuple(arg, "Os#:" #name, &me, &p, &len)) return (0); \
- return (pre##_pywrap(mp_##name(MP_NEW, p, len))); \
+static PyObject *mpmul_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
+{
+ mpmul_pyobj *mm;
+
+ if (kw) TYERR("keyword arguments not allowed here");
+ mm = (mpmul_pyobj *)ty->tp_alloc(ty, 0);
+ mpmul_init(&mm->mm);
+ mm->livep = 1;
+ if (mmmeth_factor((PyObject *)mm, arg) == 0) {
+ Py_DECREF(mm);
+ goto end;
}
-LOADOP(mp, MP, loadl)
-LOADOP(mp, MP, loadb)
-LOADOP(mp, MP, loadl2c)
-LOADOP(mp, MP, loadb2c)
-LOADOP(gf, GF, loadl)
-LOADOP(gf, GF, loadb)
-#undef LOADOP
+ return ((PyObject *)mm);
+end:
+ return (0);
+}
+
+static PyObject *mmget_livep(PyObject *me, void *hunoz)
+ { return (getbool(MPMUL_LIVEP(me))); }
+
+static const PyGetSetDef mpmul_pygetset[] = {
+#define GETSETNAME(op, name) mm##op##_##name
+ GET (livep, "MM.livep -> flag: object still valid?")
+#undef GETSETNAME
+ { 0 }
+};
+
+static const PyMethodDef mpmul_pymethods[] = {
+#define METHNAME(name) mmmeth_##name
+ METH (factor, "MM.factor(ITERABLE) or MM.factor(I, ...)")
+ NAMETH(done, "MM.done() -> PRODUCT")
+#undef METHNAME
+ { 0 }
+};
+
+static const PyTypeObject mpmul_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MPMul", /* @tp_name@ */
+ sizeof(mpmul_pyobj), /* @tp_basicsize@ */
+ 0, /* @tp_itemsize@ */
+
+ mpmul_pydealloc, /* @tp_dealloc@ */
+ 0, /* @tp_print@ */
+ 0, /* @tp_getattr@ */
+ 0, /* @tp_setattr@ */
+ 0, /* @tp_compare@ */
+ 0, /* @tp_repr@ */
+ 0, /* @tp_as_number@ */
+ 0, /* @tp_as_sequence@ */
+ 0, /* @tp_as_mapping@ */
+ 0, /* @tp_hash@ */
+ 0, /* @tp_call@ */
+ 0, /* @tp_str@ */
+ 0, /* @tp_getattro@ */
+ 0, /* @tp_setattro@ */
+ 0, /* @tp_as_buffer@ */
+ Py_TPFLAGS_DEFAULT | /* @tp_flags@ */
+ Py_TPFLAGS_BASETYPE,
+
+ /* @tp_doc@ */
+ "MPMul(N_0, N_1, ....): an object for multiplying many small integers.",
+
+ 0, /* @tp_traverse@ */
+ 0, /* @tp_clear@ */
+ 0, /* @tp_richcompare@ */
+ 0, /* @tp_weaklistoffset@ */
+ 0, /* @tp_iter@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mpmul), /* @tp_methods@ */
+ 0, /* @tp_members@ */
+ PYGETSET(mpmul), /* @tp_getset@ */
+ 0, /* @tp_base@ */
+ 0, /* @tp_dict@ */
+ 0, /* @tp_descr_get@ */
+ 0, /* @tp_descr_set@ */
+ 0, /* @tp_dictoffset@ */
+ 0, /* @tp_init@ */
+ PyType_GenericAlloc, /* @tp_alloc@ */
+ mpmul_pynew, /* @tp_new@ */
+ 0, /* @tp_free@ */
+ 0 /* @tp_is_gc@ */
+};
/*----- Montgomery reduction ----------------------------------------------*/
+static PyTypeObject *mpmont_pytype;
+
typedef struct mpmont_pyobj {
PyObject_HEAD
mpmont mm;
static PyObject *mm_mexpr(PyObject *me, void *v, int n)
{ return mp_pywrap(mpmont_mexpr(MPMONT_PY(me), MP_NEW, v, n)); }
-
+
static void mp_mexp_drop(void *p)
{
mp_expfactor *f = p;
static PyObject *mm_mexp(PyObject *me, void *v, int n)
{ return mp_pywrap(mpmont_mexp(MPMONT_PY(me), MP_NEW, v, n)); }
-
+
static PyObject *mmmeth_mexp(PyObject *me, PyObject *arg)
{
return mexp_common(me, arg, sizeof(mp_expfactor),
static PyObject *mpmont_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
{
mpmont_pyobj *mm = 0;
- char *kwlist[] = { "m", 0 };
+ static const char *const kwlist[] = { "m", 0 };
mp *xx = 0;
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
goto end;
if (!MP_POSP(xx) || !MP_ODDP(xx)) VALERR("m must be positive and odd");
mm = (mpmont_pyobj *)ty->tp_alloc(ty, 0);
static PyObject *mmget_r2(PyObject *me, void *hunoz)
{ return (mp_pywrap(MP_COPY(MPMONT_PY(me)->r2))); }
-static PyGetSetDef mpmont_pygetset[] = {
+static const PyGetSetDef mpmont_pygetset[] = {
#define GETSETNAME(op, name) mm##op##_##name
GET (m, "M.m -> modulus for reduction")
GET (r, "M.r -> multiplicative identity")
{ 0 }
};
-static PyMethodDef mpmont_pymethods[] = {
+static const PyMethodDef mpmont_pymethods[] = {
#define METHNAME(name) mmmeth_##name
- METH (int, "M.out(X) -> XR")
+ METH (int, "M.int(X) -> XR")
METH (mul, "M.mul(XR, YR) -> ZR where Z = X Y")
METH (expr, "M.expr(XR, N) -> ZR where Z = X^N mod M.m")
- METH (mexpr, "\
-B.mexp([(XR0, N0), (XR1, N1), ...]) = ZR where Z = X0^N0 X1^N1 mod B.m\n\
-\t(the list may be flattened if this more convenient.)")
+ METH (mexpr, "M.mexpr([(XR0, N0), (XR1, N1), ...]) = ZR "
+ "where Z = X0^N0 X1^N1 ... mod M.m\n"
+ "\t(the list may be flattened if this more convenient.)")
METH (reduce, "M.reduce(XR) -> X")
METH (ext, "M.ext(XR) -> X")
METH (exp, "M.exp(X, N) -> X^N mod M.m")
- METH (mexp, "\
-B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
-\t(the list may be flattened if this more convenient.)")
+ METH (mexp, "M.mexp([(X0, N0), (X1, N1), ...]) = "
+ "X0^N0 X1^N1 ... mod M.m\n"
+ "\t(the list may be flattened if this more convenient.)")
#undef METHNAME
{ 0 }
};
-static PyTypeObject *mpmont_pytype, mpmont_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.MPMont", /* @tp_name@ */
+static const PyTypeObject mpmont_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MPMont", /* @tp_name@ */
sizeof(mpmont_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"A Montgomery reduction context.",
+ "MPMont(N): a Montgomery reduction context.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- mpmont_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mpmont), /* @tp_methods@ */
0, /* @tp_members@ */
- mpmont_pygetset, /* @tp_getset@ */
+ PYGETSET(mpmont), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
/*----- Barrett reduction -------------------------------------------------*/
+static PyTypeObject *mpbarrett_pytype;
+
typedef struct mpbarrett_pyobj {
PyObject_HEAD
mpbarrett mb;
static PyObject *mb_mexp(PyObject *me, void *v, int n)
{ return mp_pywrap(mpbarrett_mexp(MPBARRETT_PY(me), MP_NEW, v, n)); }
-
+
static PyObject *mbmeth_mexp(PyObject *me, PyObject *arg)
{
return mexp_common(me, arg, sizeof(mp_expfactor),
PyObject *arg, PyObject *kw)
{
mpbarrett_pyobj *mb = 0;
- char *kwlist[] = { "m", 0 };
+ static const char *const kwlist[] = { "m", 0 };
mp *xx = 0;
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
goto end;
if (!MP_POSP(xx)) VALERR("m must be positive");
mb = (mpbarrett_pyobj *)ty->tp_alloc(ty, 0);
static PyObject *mbget_m(PyObject *me, void *hunoz)
{ return (mp_pywrap(MP_COPY(MPBARRETT_PY(me)->m))); }
-static PyGetSetDef mpbarrett_pygetset[] = {
+static const PyGetSetDef mpbarrett_pygetset[] = {
#define GETSETNAME(op, name) mb##op##_##name
GET (m, "B.m -> modulus for reduction")
#undef GETSETNAME
{ 0 }
};
-static PyMethodDef mpbarrett_pymethods[] = {
+static const PyMethodDef mpbarrett_pymethods[] = {
#define METHNAME(name) mbmeth_##name
METH (reduce, "B.reduce(X) -> X mod B.m")
METH (exp, "B.exp(X, N) -> X^N mod B.m")
- METH (mexp, "\
-B.mexp([(X0, N0), (X1, N1), ...]) = X0^N0 X1^N1 mod B.m\n\
-\t(the list may be flattened if this more convenient.)")
+ METH (mexp, "B.mexp([(X0, N0), (X1, N1), ...]) = "
+ "X0^N0 X1^N1 ... mod B.m\n"
+ "\t(the list may be flattened if this more convenient.)")
#undef METHNAME
{ 0 }
};
-static PyTypeObject *mpbarrett_pytype, mpbarrett_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.MPBarrett", /* @tp_name@ */
+static const PyTypeObject mpbarrett_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MPBarrett", /* @tp_name@ */
sizeof(mpbarrett_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"A Barrett reduction context.",
+ "MPBarrett(N): a Barrett reduction context.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- mpbarrett_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mpbarrett), /* @tp_methods@ */
0, /* @tp_members@ */
- mpbarrett_pygetset, /* @tp_getset@ */
+ PYGETSET(mpbarrett), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
/*----- Nice prime reduction ----------------------------------------------*/
+static PyTypeObject *mpreduce_pytype;
+
typedef struct mpreduce_pyobj {
PyObject_HEAD
mpreduce mr;
{
mpreduce_pyobj *mr = 0;
mpreduce r;
- char *kwlist[] = { "m", 0 };
+ static const char *const kwlist[] = { "m", 0 };
mp *xx = 0;
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convmp, &xx))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convmp, &xx))
goto end;
if (!MP_POSP(xx)) VALERR("m must be positive");
if (mpreduce_create(&r, xx)) VALERR("bad modulus (must be 2^k - ...)");
static PyObject *mrget_m(PyObject *me, void *hunoz)
{ return (mp_pywrap(MP_COPY(MPREDUCE_PY(me)->p))); }
-static PyGetSetDef mpreduce_pygetset[] = {
+static const PyGetSetDef mpreduce_pygetset[] = {
#define GETSETNAME(op, name) mr##op##_##name
GET (m, "R.m -> modulus for reduction")
#undef GETSETNAME
{ 0 }
};
-static PyMethodDef mpreduce_pymethods[] = {
+static const const PyMethodDef mpreduce_pymethods[] = {
#define METHNAME(name) mrmeth_##name
METH (reduce, "R.reduce(X) -> X mod B.m")
METH (exp, "R.exp(X, N) -> X^N mod B.m")
{ 0 }
};
-static PyTypeObject *mpreduce_pytype, mpreduce_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.MPReduce", /* @tp_name@ */
+static const PyTypeObject mpreduce_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MPReduce", /* @tp_name@ */
sizeof(mpreduce_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"A reduction context for reduction modulo primes of special form.",
+ "MPReduce(N): a reduction context for reduction modulo Solinas primes.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- mpreduce_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mpreduce), /* @tp_methods@ */
0, /* @tp_members@ */
- mpreduce_pygetset, /* @tp_getset@ */
+ PYGETSET(mpreduce), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
/*----- Chinese Remainder Theorem solution --------------------------------*/
+static PyTypeObject *mpcrt_pytype;
+
typedef struct mpcrt_pyobj {
PyObject_HEAD
mpcrt c;
PyObject *q = 0, *x, *z = 0;
mp *xx;
mp **v = 0;
- int i = 0, n = c->k;
+ Py_ssize_t i = 0, n = c->k;
Py_INCREF(me);
- if (PyTuple_Size(arg) == n)
+ if (PyTuple_GET_SIZE(arg) == n)
q = arg;
else if (!PyArg_ParseTuple(arg, "O:solve", &q))
goto end;
Py_INCREF(q);
if (!PySequence_Check(q)) TYERR("want a sequence of residues");
- if (PySequence_Size(q) != n) VALERR("residue count mismatch");
+ i = PySequence_Size(q); if (i < 0) goto end;
+ if (i != n) VALERR("residue count mismatch");
v = xmalloc(n * sizeof(*v));
for (i = 0; i < n; i++) {
if ((x = PySequence_GetItem(q, i)) == 0) goto end;
static PyObject *mpcrt_pynew(PyTypeObject *ty, PyObject *arg, PyObject *kw)
{
mpcrt_mod *v = 0;
- int n, i = 0;
- char *kwlist[] = { "mv", 0 };
+ Py_ssize_t n, i = 0, j;
+ static const char *const kwlist[] = { "mv", 0 };
PyObject *q = 0, *x;
- mp *xx;
+ mp *xx = MP_NEW, *y = MP_NEW, *g = MP_NEW;
+ mpmul mm;
mpcrt_pyobj *c = 0;
- if (PyTuple_Size(arg) > 1)
+ if (PyTuple_GET_SIZE(arg) > 1)
q = arg;
- else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", kwlist, &q))
+ else if (!PyArg_ParseTupleAndKeywords(arg, kw, "O:new", KWLIST, &q))
goto end;
Py_INCREF(q);
if (!PySequence_Check(q)) TYERR("want a sequence of moduli");
- n = PySequence_Size(q);
- if (PyErr_Occurred()) goto end;
+ n = PySequence_Size(q); if (n < 0) goto end;
if (!n) VALERR("want at least one modulus");
v = xmalloc(n * sizeof(*v));
for (i = 0; i < n; i++) {
if ((x = PySequence_GetItem(q, i)) == 0) goto end;
xx = getmp(x); Py_DECREF(x); if (!xx) goto end;
- v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0;
+ if (MP_CMP(xx, <=, MP_ZERO)) VALERR("moduli must be positive");
+ v[i].m = xx; v[i].n = 0; v[i].ni = 0; v[i].nni = 0; xx = MP_NEW;
+ }
+ mpmul_init(&mm);
+ for (j = 0; j < i; j++) mpmul_add(&mm, v[j].m);
+ xx = mpmul_done(&mm);
+ for (j = 0; j < i; j++) {
+ mp_div(&y, 0, xx, v[j].m);
+ mp_gcd(&g, 0, 0, y, v[j].m);
+ if (!MP_EQ(g, MP_ONE)) VALERR("moduli must be pairwise coprime");
}
+
c = (mpcrt_pyobj *)ty->tp_alloc(ty, 0);
mpcrt_create(&c->c, v, n, 0);
Py_DECREF(q);
+ mp_drop(xx); mp_drop(y); mp_drop(g);
return ((PyObject *)c);
end:
xfree(v);
}
Py_XDECREF(q);
+ mp_drop(xx); mp_drop(y); mp_drop(g);
return (0);
}
if ((q = PyList_New(c->k)) == 0) return (0);
for (i = 0; i < c->k; i++)
- PyList_SetItem(q, i, mp_pywrap(c->v[i].m));
+ PyList_SET_ITEM(q, i, mp_pywrap(c->v[i].m));
return (q);
}
-static PyGetSetDef mpcrt_pygetset[] = {
+static const PyGetSetDef mpcrt_pygetset[] = {
#define GETSETNAME(op, name) mc##op##_##name
GET (product, "C.product -> product of moduli")
GET (moduli, "C.moduli -> list of individual moduli")
{ 0 }
};
-static PyMethodDef mpcrt_pymethods[] = {
+static const PyMethodDef mpcrt_pymethods[] = {
#define METHNAME(name) mcmeth_##name
METH (solve, "C.solve([R0, R1]) -> X mod C.product")
#undef METHNAME
{ 0 }
};
-static PyTypeObject *mpcrt_pytype, mpcrt_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.MPCRT", /* @tp_name@ */
+static const PyTypeObject mpcrt_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "MPCRT", /* @tp_name@ */
sizeof(mpcrt_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"A context for the solution of Chinese Remainder Theorem problems.",
+ "MPCRT(SEQ): a context for solving Chinese Remainder Theorem problems.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- mpcrt_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(mpcrt), /* @tp_methods@ */
0, /* @tp_members@ */
- mpcrt_pygetset, /* @tp_getset@ */
+ PYGETSET(mpcrt), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
int xl, yl;
int b;
- if (mpbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
+ if (gfbinop(x, y, &xx, &yy)) RETURN_NOTIMPL;
switch (op) {
case Py_EQ: b = MP_EQ(xx, yy); break;
case Py_NE: b = !MP_EQ(xx, yy); break;
mp *z;
mp_pyobj *zz = 0;
int radix = 0;
- char *kwlist[] = { "x", "radix", 0 };
+ static const char *const kwlist[] = { "x", "radix", 0 };
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", kwlist, &x, &radix))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O|i:gf", KWLIST, &x, &radix))
goto end;
if (GF_PYCHECK(x)) RETURN_OBJ(x);
- if (radix < -255 || radix > 62) VALERR("radix out of range");
+ if (!good_radix_p(radix, 1)) VALERR("radix out of range");
if ((z = mp_frompyobject(x, radix)) == 0) {
PyErr_Format(PyExc_TypeError, "can't convert %.100s to gf",
- x->ob_type->tp_name);
+ Py_TYPE(x)->tp_name);
goto end;
}
if (MP_NEGP(z)) {
return ((PyObject *)zz);
}
-static long gf_pyhash(PyObject *me)
-{
- long i = mp_tolong(MP_X(me));
- i ^= 0xc7ecd67c; /* random perturbance */
- if (i == -1)
- i = -2;
- return (i);
-}
-
static PyObject *gf_pyexp(PyObject *x, PyObject *y, PyObject *z)
{
mp *xx = 0, *yy = 0, *zz = 0;
return (rc);
}
-static PyObject *gfmeth_sqr(PyObject *me, PyObject *arg)
-{
- if (!PyArg_ParseTuple(arg, ":sqr")) return (0);
- return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me))));
-}
+static PyObject *gfmeth_sqr(PyObject *me)
+ { return (gf_pywrap(gf_sqr(MP_NEW, MP_X(me)))); }
static PyObject *gfmeth_gcd(PyObject *me, PyObject *arg)
{
return (z);
}
-static PyObject *gfmeth_irreduciblep(PyObject *me, PyObject *arg)
+static PyObject *gfmeth_fromstring(PyObject *me,
+ PyObject *arg, PyObject *kw)
{
- if (!PyArg_ParseTuple(arg, ":irreduciblep")) return (0);
- return getbool(gf_irreduciblep(MP_X(me)));
+ int r = 0;
+ char *p;
+ Py_ssize_t len;
+ PyObject *z = 0;
+ mp *zz;
+ mptext_stringctx sc;
+ static const char *const kwlist[] = { "x", "radix", 0 };
+
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "s#|i:fromstring", KWLIST,
+ &p, &len, &r))
+ goto end;
+ if (!good_radix_p(r, 1)) VALERR("bad radix");
+ sc.buf = p; sc.lim = p + len;
+ if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 ||
+ MP_NEGP(zz)) {
+ if (zz) MP_DROP(zz);
+ VALERR("bad binary polynomial");
+ }
+ z = Py_BuildValue("(Ns#)", gf_pywrap(zz),
+ sc.buf, (Py_ssize_t)(sc.lim - sc.buf));
+end:
+ return (z);
}
+static PyObject *gfmeth_irreduciblep(PyObject *me)
+ { return getbool(gf_irreduciblep(MP_X(me))); }
+
static PyObject *gfget_degree(PyObject *me, void *hunoz)
{ return (PyInt_FromLong(mp_bits(MP_X(me)) - 1)); }
-static PyGetSetDef gf_pygetset[] = {
+static const PyGetSetDef gf_pygetset[] = {
#define GETSETNAME(op, name) gf##op##_##name
GET (degree, "X.degree -> polynomial degree of X")
#undef GETSETNAME
{ 0 }
};
-static PyMethodDef gf_pymethods[] = {
+static const PyMethodDef gf_pymethods[] = {
#define METHNAME(func) gfmeth_##func
METH (setbit, "X.setbit(N) -> X with bit N set")
METH (clearbit, "X.clearbit(N) -> X with bit N clear")
METH (testbit, "X.testbit(N) -> true/false if bit N set/clear in X")
- METH (sqr, "X.sqr() -> X^2")
+ NAMETH(sqr, "X.sqr() -> X^2")
METH (gcd, "X.gcd(Y) -> gcd(X, Y)")
- METH (gcdx,
- "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
+ METH (gcdx, "X.gcdx(Y) -> (gcd(X, Y), U, V) with X U + Y V = gcd(X, Y)")
METH (modinv, "X.modinv(Y) -> multiplicative inverse of Y mod X")
- METH (irreduciblep, "X.irreduciblep() -> true/false")
+ NAMETH(irreduciblep, "X.irreduciblep() -> true/false")
+ KWSMTH(fromstring, "fromstring(STR, [radix = 0]) -> (X, REST)\n"
+ " Parse STR as a binary polynomial, according to RADIX. If RADIX is\n"
+ " zero, read a prefix from STR to decide radix: allow `0b' for binary,\n"
+ " `0' or `0o' for octal, `0x' for hex, or `R_' for other radix R.")
+ SMTH (loadl, "loadl(STR) -> X: read little-endian bytes")
+ SMTH (loadb, "loadb(STR) -> X: read big-endian bytes")
+ SMTH (frombuf, "frombuf(STR) -> (X, REST): read buffer format")
#undef METHNAME
#define METHNAME(func) mpmeth_##func
- KWMETH(tostring, "X.tostring(radix = 10) -> STR")
- KWMETH(storel, "X.storel(len = -1) -> little-endian bytes")
- KWMETH(storeb, "X.storeb(len = -1) -> big-endian bytes")
- KWMETH(storel2c,
- "X.storel2c(len = -1) -> little-endian bytes, two's complement")
- KWMETH(storeb2c,
- "X.storeb2c(len = -1) -> big-endian bytes, two's complement")
- METH (tobuf, "X.tobuf() -> buffer format")
+ KWMETH(tostring, "X.tostring([radix = 10]) -> STR")
+ KWMETH(storel, "X.storel([len = -1]) -> little-endian bytes")
+ KWMETH(storeb, "X.storeb([len = -1]) -> big-endian bytes")
+ KWMETH(storel2c, "X.storel2c([len = -1]) -> "
+ "little-endian bytes, two's complement")
+ KWMETH(storeb2c, "X.storeb2c([len = -1]) -> "
+ "big-endian bytes, two's complement")
+ NAMETH(tobuf, "X.tobuf() -> buffer format")
#undef METHNAME
{ 0 }
};
-static PyNumberMethods gf_pynumber = {
+static const PyNumberMethods gf_pynumber = {
gf_pyadd, /* @nb_add@ */
gf_pysub, /* @nb_subtract@ */
gf_pymul, /* @nb_multiply@ */
0, /* @nb_inplace_true_divide@ */
};
-static PyTypeObject gf_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.GF", /* @tp_name@ */
+static const PyTypeObject gf_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "GF", /* @tp_name@ */
sizeof(mp_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
0, /* @tp_setattr@ */
0, /* @tp_compare@ */
gf_pyrepr, /* @tp_repr@ */
- &gf_pynumber, /* @tp_as_number@ */
+ PYNUMBER(gf), /* @tp_as_number@ */
0, /* @tp_as_sequence@ */
0, /* @tp_as_mapping@ */
- gf_pyhash, /* @tp_hash@ */
+ mp_pyhash, /* @tp_hash@ */
0, /* @tp_call@ */
mp_pyhex, /* @tp_str@ */
0, /* @tp_getattro@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"Binary polynomials. Support almost all the standard arithmetic\n\
-operations.\n\
-\n\
-Constructor gf(X, radix = R) attempts to convert X to a `gf'. If\n\
-X is a string, it's read in radix-R form, or we look for a prefix\n\
-if R = 0. Other acceptable things are ints and longs.\n\
-\n\
-The name is hopelessly wrong from a technical point of view, but\n\
-but it's much easier to type than `p2' or `c2' or whatever.\n\
-\n\
-Notes:\n\
-\n\
- * Use `//' for division. GFs don't have `/' division.",
+ "Binary polynomials. Support almost all the standard arithmetic\n"
+ "operations.\n"
+ "\n"
+ "Constructor GF(X, [radix = R]) attempts to convert X to a `GF'. If\n"
+ "X is a string, it's read in radix-R form, or we look for a prefix\n"
+ "if R = 0. Other acceptable things are field elements, elliptic curve\n"
+ "points, group elements, Python `int' and `long' objects, and anything\n"
+ "with an integer conversion.\n"
+ "\n"
+ "The name is hopelessly wrong from a technical point of view, but\n"
+ "but it's much easier to type than `p2' or `c2' or whatever.\n"
+ "\n"
+ "Notes:\n"
+ "\n"
+ " * Use `//' for Euclidean division: `/' gives exact rational division.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
gf_pyrichcompare, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- gf_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(gf), /* @tp_methods@ */
0, /* @tp_members@ */
- gf_pygetset, /* @tp_getset@ */
+ PYGETSET(gf), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
0 /* @tp_is_gc@ */
};
-static PyObject *meth__GF_fromstring(PyObject *me,
- PyObject *arg, PyObject *kw)
-{
- int r = 0;
- char *p;
- int len;
- PyObject *z = 0;
- mp *zz;
- mptext_stringctx sc;
- char *kwlist[] = { "class", "x", "radix", 0 };
-
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "Os#|i:fromstring",
- kwlist, &me, &p, &len, &r))
- goto end;
- if (r < -255 || r > 62) VALERR("radix out of range");
- sc.buf = p; sc.lim = p + len;
- if ((zz = mp_read(MP_NEW, r, &mptext_stringops, &sc)) == 0 || MP_NEGP(zz))
- z = Py_BuildValue("(Os#)", Py_None, p, len);
- else
- z = Py_BuildValue("(Ns#)", gf_pywrap(zz),
- sc.buf, (int)(sc.lim - sc.buf));
-end:
- return (z);
-}
-
/*----- Sparse poly reduction ---------------------------------------------*/
+static PyTypeObject *gfreduce_pytype;
+
typedef struct gfreduce_pyobj {
PyObject_HEAD
gfreduce mr;
return (rc);
}
+static PyObject *grmeth_trace(PyObject *me, PyObject *arg)
+{
+ PyObject *rc = 0;
+ mp *xx = 0;
+
+ if (!PyArg_ParseTuple(arg, "O&:trace", convgf, &xx)) goto end;
+ rc = PyInt_FromLong(gfreduce_trace(GFREDUCE_PY(me), xx));
+end:
+ if (xx) MP_DROP(xx);
+ return (rc);
+}
+
+static PyObject *grmeth_halftrace(PyObject *me, PyObject *arg)
+{
+ PyObject *rc = 0;
+ mp *xx = 0;
+
+ if (!PyArg_ParseTuple(arg, "O&:halftrace", convgf, &xx)) goto end;
+ rc = gf_pywrap(gfreduce_halftrace(GFREDUCE_PY(me), MP_NEW, xx));
+end:
+ if (xx) MP_DROP(xx);
+ return (rc);
+}
+
+static PyObject *grmeth_sqrt(PyObject *me, PyObject *arg)
+{
+ PyObject *rc = 0;
+ mp *xx = 0, *yy;
+
+ if (!PyArg_ParseTuple(arg, "O&:sqrt", convgf, &xx)) goto end;
+ if ((yy = gfreduce_sqrt(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
+ VALERR("no modular square root");
+ rc = gf_pywrap(yy);
+end:
+ if (xx) MP_DROP(xx);
+ return (rc);
+}
+
+static PyObject *grmeth_quadsolve(PyObject *me, PyObject *arg)
+{
+ PyObject *rc = 0;
+ mp *xx = 0, *yy;
+
+ if (!PyArg_ParseTuple(arg, "O&:quadsolve", convgf, &xx)) goto end;
+ if ((yy = gfreduce_quadsolve(GFREDUCE_PY(me), MP_NEW, xx)) == 0)
+ VALERR("no solution found");
+ rc = gf_pywrap(yy);
+end:
+ if (xx) MP_DROP(xx);
+ return (rc);
+}
+
static PyObject *grmeth_reduce(PyObject *me, PyObject *arg)
{
PyObject *z = 0;
{
gfreduce_pyobj *mr = 0;
gfreduce r;
- char *kwlist[] = { "m", 0 };
+ static const char *const kwlist[] = { "m", 0 };
mp *xx = 0;
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", kwlist, convgf, &xx))
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&:new", KWLIST, convgf, &xx))
goto end;
if (MP_ZEROP(xx)) ZDIVERR("modulus is zero!");
gfreduce_create(&r, xx);
static PyObject *grget_m(PyObject *me, void *hunoz)
{ return (gf_pywrap(MP_COPY(GFREDUCE_PY(me)->p))); }
-static PyGetSetDef gfreduce_pygetset[] = {
+static const PyGetSetDef gfreduce_pygetset[] = {
#define GETSETNAME(op, name) gr##op##_##name
GET (m, "R.m -> reduction polynomial")
#undef GETSETNAME
{ 0 }
};
-static PyMethodDef gfreduce_pymethods[] = {
+static const PyMethodDef gfreduce_pymethods[] = {
#define METHNAME(name) grmeth_##name
METH (reduce, "R.reduce(X) -> X mod B.m")
+ METH (trace, "R.trace(X) -> Tr(X) = x + x^2 + ... + x^{2^{m - 1}}")
+ METH (halftrace, "R.halftrace(X) -> x + x^{2^2} + ... + x^{2^{m - 1}}")
+ METH (sqrt, "R.sqrt(X) -> Y where Y^2 = X mod R")
+ METH (quadsolve, "R.quadsolve(X) -> Y where Y^2 + Y = X mod R")
METH (exp, "R.exp(X, N) -> X^N mod B.m")
#undef METHNAME
{ 0 }
};
-static PyTypeObject *gfreduce_pytype, gfreduce_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.GFReduce", /* @tp_name@ */
+static const PyTypeObject gfreduce_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "GFReduce", /* @tp_name@ */
sizeof(gfreduce_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"A reduction context for reduction modulo sparse irreducible polynomials.",
+ "GFReduce(N): a context for reduction modulo sparse polynomials.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- gfreduce_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(gfreduce), /* @tp_methods@ */
0, /* @tp_members@ */
- gfreduce_pygetset, /* @tp_getset@ */
+ PYGETSET(gfreduce), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
/*----- Normal/poly transformation ----------------------------------------*/
+static PyTypeObject *gfn_pytype;
+
typedef struct gfn_pyobj {
PyObject_HEAD
mp *p;
gfn ntop, pton;
} gfn_pyobj;
-static PyTypeObject *gfn_pytype, gfn_pytype_skel;
-
#define GFN_P(o) (((gfn_pyobj *)(o))->p)
#define GFN_PTON(o) (&((gfn_pyobj *)(o))->pton)
#define GFN_NTOP(o) (&((gfn_pyobj *)(o))->ntop)
{
mp *p = 0, *beta = 0;
gfn_pyobj *gg = 0;
- char *kwlist[] = { "p", "beta", 0 };
+ static const char *const kwlist[] = { "p", "beta", 0 };
- if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", kwlist,
+ if (!PyArg_ParseTupleAndKeywords(arg, kw, "O&O&:new", KWLIST,
convgf, &p, convgf, &beta))
goto end;
gg = PyObject_New(gfn_pyobj, ty);
+ gg->p = 0;
if (gfn_create(p, beta, &gg->ntop, &gg->pton)) {
- FREEOBJ(gg);
+ Py_DECREF(gg);
gg = 0;
VALERR("can't invert transformation matrix");
}
end: \
mp_drop(xx); \
if (!z) return (0); \
- return (mp_pywrap(z)); \
+ return (gf_pywrap(z)); \
}
XFORMOP(pton, PTON)
XFORMOP(ntop, NTOP)
static void gfn_pydealloc(PyObject *me)
{
- gfn_destroy(GFN_PTON(me));
- gfn_destroy(GFN_NTOP(me));
+ if (GFN_P(me)) {
+ MP_DROP(GFN_P(me));
+ gfn_destroy(GFN_PTON(me));
+ gfn_destroy(GFN_NTOP(me));
+ }
FREEOBJ(me);
}
-static PyGetSetDef gfn_pygetset[] = {
+static const PyGetSetDef gfn_pygetset[] = {
#define GETSETNAME(op, name) gfn##op##_##name
GET (p, "X.p -> polynomial basis, as polynomial")
GET (beta, "X.beta -> normal basis element, in poly form")
{ 0 }
};
-static PyMethodDef gfn_pymethods[] = {
+static const PyMethodDef gfn_pymethods[] = {
#define METHNAME(name) gfnmeth_##name
METH (pton, "X.pton(A) -> normal-basis representation of A")
METH (ntop, "X.ntop(A) -> polynomial-basis representation of A")
{ 0 }
};
-static PyTypeObject gfn_pytype_skel = {
- PyObject_HEAD_INIT(0) 0, /* Header */
- "catacomb.GFN", /* @tp_name@ */
+static const PyTypeObject gfn_pytype_skel = {
+ PyVarObject_HEAD_INIT(0, 0) /* Header */
+ "GFN", /* @tp_name@ */
sizeof(gfn_pyobj), /* @tp_basicsize@ */
0, /* @tp_itemsize@ */
Py_TPFLAGS_BASETYPE,
/* @tp_doc@ */
-"An object for transforming elements of binary fields between polynomial\n\
-and normal basis representations.",
+ "GFN(P, BETA): an object for transforming elements of binary fields\n"
+ " between polynomial and normal basis representations.",
0, /* @tp_traverse@ */
0, /* @tp_clear@ */
0, /* @tp_richcompare@ */
0, /* @tp_weaklistoffset@ */
0, /* @tp_iter@ */
- 0, /* @tp_iternexr@ */
- gfn_pymethods, /* @tp_methods@ */
+ 0, /* @tp_iternext@ */
+ PYMETHODS(gfn), /* @tp_methods@ */
0, /* @tp_members@ */
- gfn_pygetset, /* @tp_getset@ */
+ PYGETSET(gfn), /* @tp_getset@ */
0, /* @tp_base@ */
0, /* @tp_dict@ */
0, /* @tp_descr_get@ */
/*----- Glue --------------------------------------------------------------*/
-static PyMethodDef methods[] = {
-#define METHNAME(func) meth_##func
- KWMETH(_MP_fromstring, "\
-fromstring(STR, radix = 0) -> (X, REST)\n\
-\n\
-Parse STR as a large integer, according to radix. If radix is zero,\n\
-read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
-or `R_' for other radix R.")
- KWMETH(_GF_fromstring, "\
-fromstring(STR, radix = 0) -> (X, REST)\n\
-\n\
-Parse STR as a binary polynomial, according to radix. If radix is zero,\n\
-read a prefix from STR to decide radix: allow `0' for octal, `0x' for hex\n\
-or `R_' for other radix R.")
- METH (_MP_loadl, "\
-loadl(STR) -> X: read little-endian bytes")
- METH (_MP_loadb, "\
-loadb(STR) -> X: read big-endian bytes")
- METH (_MP_loadl2c, "\
-loadl2c(STR) -> X: read little-endian bytes, two's complement")
- METH (_MP_loadb2c, "\
-loadb2c(STR) -> X: read big-endian bytes, two's complement")
- METH (_MP_frombuf, "\
-frombuf(STR) -> (X, REST): read buffer format")
- METH (_MP_product, "\
-product(ITER) -> X: product of things iterated over")
- METH (_GF_loadl, "\
-loadl(STR) -> X: read little-endian bytes")
- METH (_GF_loadb, "\
-loadb(STR) -> X: read big-endian bytes")
- METH (_GF_frombuf, "\
-frombuf(STR) -> (X, REST): read buffer format")
-#undef METHNAME
+static const struct nameval consts[] = {
+ CONST(MPW_MAX),
{ 0 }
};
{
INITTYPE(mp, root);
INITTYPE(gf, root);
+ INITTYPE(mpmul, root);
INITTYPE(mpmont, root);
INITTYPE(mpbarrett, root);
INITTYPE(mpreduce, root);
INITTYPE(mpcrt, root);
INITTYPE(gfreduce, root);
INITTYPE(gfn, root);
- addmethods(methods);
}
void mp_pyinsert(PyObject *mod)
{
INSERT("MP", mp_pytype);
+ INSERT("MPMul", mpmul_pytype);
INSERT("MPMont", mpmont_pytype);
INSERT("MPBarrett", mpbarrett_pytype);
INSERT("MPReduce", mpreduce_pytype);
INSERT("GF", gf_pytype);
INSERT("GFReduce", gfreduce_pytype);
INSERT("GFN", gfn_pytype);
+ setconstants(mod, consts);
}
/*----- That's all, folks -------------------------------------------------*/