/* -*-c-*-
*
- * $Id: field.h,v 1.8 2004/03/27 17:54:11 mdw Exp $
+ * $Id: field.h,v 1.11 2004/04/08 01:36:15 mdw Exp $
*
* Definitions for field arithmetic
*
* MA 02111-1307, USA.
*/
-/*----- Revision history --------------------------------------------------*
- *
- * $Log: field.h,v $
- * Revision 1.8 2004/03/27 17:54:11 mdw
- * Standard curves and curve checking.
- *
- * Revision 1.7 2004/03/27 00:04:46 mdw
- * Implement efficient reduction for pleasant-looking primes.
- *
- * Revision 1.6 2004/03/23 15:19:32 mdw
- * Test elliptic curves more thoroughly.
- *
- * Revision 1.5 2004/03/23 12:08:26 mdw
- * Random field-element selection.
- *
- * Revision 1.4 2004/03/21 22:52:06 mdw
- * Merge and close elliptic curve branch.
- *
- * Revision 1.3.4.2 2004/03/21 22:39:46 mdw
- * Elliptic curves on binary fields work.
- *
- * Revision 1.3.4.1 2004/03/20 00:13:31 mdw
- * Projective coordinates for prime curves
- *
- * Revision 1.3 2002/01/13 13:48:44 mdw
- * Further progress.
- *
- * Revision 1.2 2001/05/07 17:30:13 mdw
- * Add an internal-representation no-op function.
- *
- * Revision 1.1 2001/04/29 18:12:33 mdw
- * Prototype version.
- *
- */
-
#ifndef CATACOMB_FIELD_H
#define CATACOMB_FIELD_H
void (*destroy)(field */*f*/);
mp *(*rand)(field */*f*/, mp */*d*/, grand */*r*/);
+ int (*samep)(field */*f*/, field */*g*/);
mp *(*in)(field */*f*/, mp */*d*/, mp */*x*/);
mp *(*out)(field */*f*/, mp */*d*/, mp */*x*/);
#define F_DESTROY(f) (f)->ops->destroy((f))
#define F_RAND(f, d, r) (f)->ops->rand((f), (d), (r))
+#define F_SAMEP(f, g) (f)->ops->samep((f), (g))
#define F_IN(f, d, x) (f)->ops->in((f), (d), (x))
#define F_OUT(f, d, x) (f)->ops->out((f), (d), (x))
extern mp *field_id(field */*f*/, mp */*d*/, mp */*x*/);
+/* --- @field_samep@ --- *
+ *
+ * Arguments: @field *f, *g@ = two fields
+ *
+ * Returns: Nonzero if the fields are identical (not just isomorphic).
+ *
+ * Use: Checks for sameness of fields. This function does the full
+ * check, not just the field-type-specific check done by the
+ * @sampep@ field operation.
+ */
+
+extern int field_samep(field */*f*/, field */*g*/);
+
+/* --- @field_stdsamep@ --- *
+ *
+ * Arguments: @field *f, *g@ = two fields
+ *
+ * Returns: Nonzero if the fields are identical (not just isomorphic).
+ *
+ * Use: Standard sameness check, based on equality of the @m@
+ * member.
+ */
+
+extern int field_stdsamep(field */*f*/, field */*g*/);
+
/*----- Creating fields ---------------------------------------------------*/
/* --- @field_prime@ --- *
extern field *field_binpoly(mp */*p*/);
+/* --- @field_binnorm@ --- *
+ *
+ * Arguments: @mp *p@ = the reduction polynomial
+ * @mp *beta@ = representation of normal point
+ *
+ * Returns: A pointer to the field.
+ *
+ * Use: Creates a field structure for a binary field mod @p@ which
+ * uses a normal basis representation externally. Computations
+ * are still done on a polynomial-basis representation.
+ */
+
+extern field *field_binnorm(mp */*p*/, mp */*beta*/);
+
/* --- @field_parse@ --- *
*
* Arguments: @qd_parse *qd@ = parser context
*
* Use: Parses a field description, which has the form
*
- * * `prime', `niceprime' or `binpoly'
+ * * `prime', `niceprime', `binpoly', or `binnorm'
* * an optional `:'
* * the field modulus
+ * * for `binnorm', an optional `,' and the beta value
*/
extern field *field_parse(qd_parse */*qd*/);