Normal basis support (translates to poly basis internally). Rewrite

[u/mdw/catacomb] / field.h

diff --git a/field.h b/field.h
index 7af9b4f..3a46ac9 100644 (file)
--- a/field.h
+++ b/field.h
@@ -1,6 +1,6 @@
 /* -*-c-*-
  *
- * $Id: field.h,v 1.8 2004/03/27 17:54:11 mdw Exp $
+ * $Id: field.h,v 1.10 2004/04/01 21:28:41 mdw Exp $
  *
  * Definitions for field arithmetic
  *
@@ -30,6 +30,18 @@
 /*----- Revision history --------------------------------------------------* 
  *
  * $Log: field.h,v $
+ * Revision 1.10  2004/04/01 21:28:41  mdw
+ * Normal basis support (translates to poly basis internally).  Rewrite
+ * EC and prime group table generators in awk, so that they can reuse data
+ * for repeated constants.
+ *
+ * Revision 1.9  2004/04/01 12:50:09  mdw
+ * Add cyclic group abstraction, with test code.  Separate off exponentation
+ * functions for better static linking.  Fix a buttload of bugs on the way.
+ * Generally ensure that negative exponents do inversion correctly.  Add
+ * table of standard prime-field subgroups.  (Binary field subgroups are
+ * currently unimplemented but easy to add if anyone ever finds a good one.)
+ *
  * Revision 1.8  2004/03/27 17:54:11  mdw
  * Standard curves and curve checking.
  *
@@ -109,6 +121,7 @@ typedef struct field_ops {
 
   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*/);
@@ -141,6 +154,7 @@ typedef struct field_ops {
 
 #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))
@@ -178,6 +192,31 @@ typedef struct field_ops {
 
 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@ --- *
@@ -216,6 +255,20 @@ extern field *field_niceprime(mp */*p*/);
 
 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
@@ -224,9 +277,10 @@ extern field *field_binpoly(mp */*p*/);
  *
  * 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*/);