- Extended the Number liouville_sum method to accept an additional …

…argument.

When an additional argument is given, the returned result is:

	Sum_{k=a..b} liouville(k)

Example:

	say liouville_sum(10**9, 10**10)   #=> -90809

lib/Sidef/Types/Number/Number.pm

@@ -10945,9 +10945,15 @@ package Sidef::Types::Number::Number {
     }
 
     sub liouville_sum {
-        my ($n) = @_;
+        my ($from, $to) = @_;
 
-        $n = _any2mpz($$n) // goto &nan;
+        if (defined($to)) {
+            _valid(\$to);
+            return ZERO if $to->lt($from);
+            return $to->liouville_sum->sub($from->dec->liouville_sum);
+        }
+
+        my $n = _any2mpz($$from) // goto &nan;
         Math::GMPz::Rmpz_sgn($n) > 0 or return ZERO;
 
         state $liouville_table = {

lib/Sidef/Types/Number/Number.pod

@@ -4335,12 +4335,21 @@ Equivalent to:
 
 =head2 liouville_sum
 
-    n.liouville_sum
+    liouville_sum(n)
+    liouville_sum(a,b)
 
-Computes partial sums of the Liouville lambda function.
+Computes partial sums of the Liouville lambda function:
 
-    say liouville_sum(10**9)    #=> -25216
-    say liouville_sum(10**10)   #=> -116026
+    Sum_{k=1..n} liouville(k)
+
+When an additional argument is given, the returned result is:
+
+    Sum_{k=a..b} liouville(k)
+
+Example:
+
+    say liouville_sum(10**9)           #=> -25216
+    say liouville_sum(10**9, 10**10)   #=> -90809
 
 =cut
 

utils/find_class_typos.pl

@@ -45,7 +45,12 @@
         }
 
         while ($content =~ /\b(Sidef(::\w+)+)/g) {
-            push @{$invokants{$1}}, $_;
+            my $name = $1;
+            push @{$invokants{$name}}, $_;
+
+            if ($name =~ /^(.+)::/) {  # handle function calls
+                push @{$invokants{$1}}, $_;
+            }
         }
     },