X-Git-Url: https://git.distorted.org.uk/u/mdw/catacomb/blobdiff_plain/a2a74efe4b1276b1efec12f25fd65f0df060f38a..80be023065ced106a4078a36371c135a60d2bd6c:/calc/gfx.cal

diff --git a/calc/gfx.cal b/calc/gfx.cal
index 8d8fd00..e38f4b7 100644
--- a/calc/gfx.cal
+++ b/calc/gfx.cal
@@ -1,6 +1,6 @@
 /* -*-apcalc-*-
  *
- * $Id: gfx.cal,v 1.1 2000/10/08 16:01:37 mdw Exp $
+ * $Id: gfx.cal,v 1.3 2004/04/08 01:36:15 mdw Exp $
  *
  * Testbed for %$\gf{2}$% poltnomial arithmetic
  *
@@ -27,14 +27,6 @@
  * MA 02111-1307, USA.
  */
 
-/*----- Revision history --------------------------------------------------* 
- *
- * $Log: gfx.cal,v $
- * Revision 1.1  2000/10/08 16:01:37  mdw
- * Prototypes of various bits of code.
- *
- */
-
 /*----- Object types ------------------------------------------------------*/
 
 obj gf { x };
@@ -79,7 +71,9 @@ define gf_mul(x, y)
 define gfx_div(rx, dx)
 {
   local r = gfint(rx), d = gfint(dx), i;
-  local q = 0, dbits = highbit(d), rbits = highbit(r);
+  local q = 0, dbits, rbits;
+  dbits = highbit(d);
+  rbits = highbit(r);
   for (i = rbits - dbits; i >= 0; i--) {
     if (bit(r, i + dbits)) {
       r = xor(r, d << i);
@@ -91,14 +85,48 @@ define gfx_div(rx, dx)
 
 define gf_div(x, y)
 {
-  local l = gfx_div(x, y);
+  local l;
+  l = gfx_div(x, y);
   return gf(l[[0]]);
 }
 
 define gf_mod(x, y)
 {
-  local l = gfx_div(x, y);
+  local l;
+  l = gfx_div(x, y);
   return gf(l[[1]]);
 }
 
+define gf_gcd(a, b)
+{
+  local swap = 0;
+  local g, x = 1, X = 0, y = 0, Y = 1, q, r, t;
+  if (a.x < b.x) {
+    t = a; a = b; b = t;
+    swap = 1;
+  }
+  if (b == gf(0))
+    g = a;
+  else {
+    while (b != gf(0)) {
+      q = gf_div(a, b); r = gf_mod(a, b);
+      t = X * q + x; x = X; X = t;
+      t = Y * q + y; y = Y; Y = t;
+      a = b; b = r;
+    }
+    g = a;
+  }
+  if (swap) {
+    t = x; x = y; y = t;
+  }
+  return list(g, x, y);
+}
+
+define gf_inv(a, b)
+{
+  local l = gf_gcd(b, a);
+  if (l[[0]] != gf(1)) quit "not coprime in gf_inv";
+  return l[[2]];
+}
+
 /*----- That's all, folks -------------------------------------------------*/