* src/fns.c (Frandom): Handle bignum limits

(ccall2, get_random_bignum): New functions.

doc/lispref/numbers.texi

@@ -1250,7 +1250,7 @@ other strings to choose various seed values.
 This function returns a pseudo-random integer.  Repeated calls return a
 series of pseudo-random integers.
 
-If @var{limit} is a positive fixnum, the value is chosen to be
+If @var{limit} is a positive integer, the value is chosen to be
 nonnegative and less than @var{limit}.  Otherwise, the value might be
 any fixnum, i.e., any integer from @code{most-negative-fixnum} through
 @code{most-positive-fixnum} (@pxref{Integer Basics}).

src/fns.c

@@ -54,10 +54,55 @@ DEFUN ("identity", Fidentity, Sidentity, 1, 1, 0,
   return argument;
 }
 
+static Lisp_Object
+ccall2 (Lisp_Object (f) (ptrdiff_t nargs, Lisp_Object *args),
+        Lisp_Object arg1, Lisp_Object arg2)
+{
+  Lisp_Object args[2] = {arg1, arg2};
+  return f (2, args);
+}
+
+static Lisp_Object
+get_random_bignum (Lisp_Object limit)
+{
+  /* This is a naive transcription into bignums of the fixnum algorithm.
+     I'd be quite surprised if that's anywhere near the best algorithm
+     for it.  */
+  while (true)
+    {
+      Lisp_Object val = make_fixnum (0);
+      Lisp_Object lim = limit;
+      int bits = 0;
+      int bitsperiteration = FIXNUM_BITS - 1;
+      do
+        {
+          /* Shift by one so it is a valid positive fixnum.  */
+          EMACS_INT rand = get_random () >> 1;
+          Lisp_Object lrand = make_fixnum (rand);
+          bits += bitsperiteration;
+          val = ccall2 (Flogior,
+                        Fash (val, make_fixnum (bitsperiteration)),
+                        lrand);
+          lim = Fash (lim, make_fixnum (- bitsperiteration));
+        }
+      while (!EQ (lim, make_fixnum (0)));
+      /* Return the remainder, except reject the rare case where
+	 get_random returns a number so close to INTMASK that the
+	 remainder isn't random.  */
+      Lisp_Object remainder = Frem (val, limit);
+      if (!NILP (ccall2 (Fleq,
+	                 ccall2 (Fminus, val, remainder),
+	                 ccall2 (Fminus,
+	                         Fash (make_fixnum (1), make_fixnum (bits)),
+	                         limit))))
+	return remainder;
+    }
+}
+
 DEFUN ("random", Frandom, Srandom, 0, 1, 0,
        doc: /* Return a pseudo-random integer.
 By default, return a fixnum; all fixnums are equally likely.
-With positive fixnum LIMIT, return random integer in interval [0,LIMIT).
+With positive integer LIMIT, return random integer in interval [0,LIMIT).
 With argument t, set the random number seed from the system's entropy
 pool if available, otherwise from less-random volatile data such as the time.
 With a string argument, set the seed based on the string's contents.
@@ -71,6 +116,12 @@ See Info node `(elisp)Random Numbers' for more details.  */)
     init_random ();
   else if (STRINGP (limit))
     seed_random (SSDATA (limit), SBYTES (limit));
+  if (BIGNUMP (limit))
+    {
+      if (0 > mpz_sgn (*xbignum_val (limit)))
+        xsignal2 (Qwrong_type_argument, Qnatnump, limit);
+      return get_random_bignum (limit);
+    }
 
   val = get_random ();
   if (FIXNUMP (limit) && 0 < XFIXNUM (limit))