patch 8.2.2212: Vim9: lambda with => does not work at the script level

Problem:    Vim9: lambda with => does not work at the script level.
Solution:   Make it work.
diff --git a/src/eval.c b/src/eval.c
index e3a3592..df5b842 100644
--- a/src/eval.c
+++ b/src/eval.c
@@ -3349,8 +3349,13 @@
 
     /*
      * nested expression: (expression).
+     * lambda: (arg) => expr
      */
-    case '(':	{
+    case '(':	ret = NOTDONE;
+		if (in_vim9script())
+		    ret = get_lambda_tv(arg, rettv, TRUE, evalarg);
+		if (ret == NOTDONE)
+		{
 		    *arg = skipwhite_and_linebreak(*arg + 1, evalarg);
 		    ret = eval1(arg, rettv, evalarg);	// recursive!
 
diff --git a/src/testdir/test_vim9_assign.vim b/src/testdir/test_vim9_assign.vim
index d5e1b33..ea344fe 100644
--- a/src/testdir/test_vim9_assign.vim
+++ b/src/testdir/test_vim9_assign.vim
@@ -1027,11 +1027,11 @@
   # check if assign a lambda to a variable which type is func or any.
   var lines =<< trim END
       vim9script
-      var FuncRef = {->123}
+      var FuncRef = {-> 123}
       assert_equal(123, FuncRef())
-      var FuncRef_Func: func = {->123}
+      var FuncRef_Func: func = {-> 123}
       assert_equal(123, FuncRef_Func())
-      var FuncRef_Any: any = {->123}
+      var FuncRef_Any: any = {-> 123}
       assert_equal(123, FuncRef_Any())
   END
   CheckScriptSuccess(lines)
diff --git a/src/testdir/test_vim9_expr.vim b/src/testdir/test_vim9_expr.vim
index c481729..73fdb98 100644
--- a/src/testdir/test_vim9_expr.vim
+++ b/src/testdir/test_vim9_expr.vim
@@ -1953,15 +1953,25 @@
       # Lambda returning a dict
       var Lmb = () => ({key: 42})
       assert_equal({key: 42}, Lmb())
+
+      var RefOne: func(number): string = (a: number): string => 'x'
+      var RefTwo: func(number): any = (a: number): any => 'x'
+
+      var Fx = (a) => ({k1: 0,
+                         k2: 1})
+      var Fy = (a) => [0,
+                       1]
   END
-  CheckDefSuccess(lines)
+  CheckDefAndScriptSuccess(lines)
 
   CheckDefFailure(["var Ref = (a)=>a + 1"], 'E1001:')
   CheckDefFailure(["var Ref = (a)=> a + 1"], 'E1001:')
   CheckDefFailure(["var Ref = (a) =>a + 1"], 'E1001:')
 
-  CheckDefSuccess(["var Ref: func(number): string = (a: number): string => 'x'"])
-  CheckDefSuccess(["var Ref: func(number): any = (a: number): any => 'x'"])
+  CheckScriptFailure(["vim9script", "var Ref = (a)=>a + 1"], 'E1004:')
+  CheckScriptFailure(["vim9script", "var Ref = (a)=> a + 1"], 'E1004:')
+  CheckScriptFailure(["vim9script", "var Ref = (a) =>a + 1"], 'E1004:')
+
   CheckDefFailure(["var Ref: func(number): number = (a: number): string => 'x'"], 'E1012:')
   CheckDefFailure(["var Ref: func(number): string = (a: number): string => 99"], 'E1012:')
 
@@ -1978,11 +1988,9 @@
 #        'E1106: 2 arguments too many')
 #  CheckDefFailure(["echo 'asdf'->{a -> a}(x)"], 'E1001:', 1)
 
-  CheckDefSuccess(['var Fx = (a) => ({k1: 0,', ' k2: 1})'])
   CheckDefFailure(['var Fx = (a) => ({k1: 0', ' k2: 1})'], 'E722:', 2)
   CheckDefFailure(['var Fx = (a) => ({k1: 0,', ' k2 1})'], 'E720:', 2)
 
-  CheckDefSuccess(['var Fx = (a) => [0,', ' 1]'])
   CheckDefFailure(['var Fx = (a) => [0', ' 1]'], 'E696:', 2)
 enddef
 
diff --git a/src/userfunc.c b/src/userfunc.c
index 5ba90ae..ea6fa10 100644
--- a/src/userfunc.c
+++ b/src/userfunc.c
@@ -461,21 +461,35 @@
 /*
  * Skip over "->" or "=>" after the arguments of a lambda.
  * If ": type" is found make "ret_type" point to "type".
+ * If "white_error" is not NULL check for correct use of white space and set
+ * "white_error" to TRUE if there is an error.
  * Return NULL if no valid arrow found.
  */
     static char_u *
-skip_arrow(char_u *start, int equal_arrow, char_u **ret_type)
+skip_arrow(
+	char_u	*start,
+	int	equal_arrow,
+	char_u	**ret_type,
+	int	*white_error)
 {
-    char_u *s = start;
+    char_u  *s = start;
+    char_u  *bef = start - 2; // "start" points to > of ->
 
     if (equal_arrow)
     {
 	if (*s == ':')
 	{
+	    if (white_error != NULL && !VIM_ISWHITE(s[1]))
+	    {
+		*white_error = TRUE;
+		semsg(_(e_white_space_required_after_str), ":");
+		return NULL;
+	    }
 	    s = skipwhite(s + 1);
 	    *ret_type = s;
 	    s = skip_type(s, TRUE);
 	}
+	bef = s;
 	s = skipwhite(s);
 	if (*s != '=')
 	    return NULL;
@@ -483,6 +497,14 @@
     }
     if (*s != '>')
 	return NULL;
+    if (white_error != NULL && ((!VIM_ISWHITE(*bef) && *bef != '{')
+		|| !IS_WHITE_OR_NUL(s[1])))
+    {
+	*white_error = TRUE;
+	semsg(_(e_white_space_required_before_and_after_str),
+						    equal_arrow ? "=>" : "->");
+	return NULL;
+    }
     return skipwhite(s + 1);
 }
 
@@ -516,6 +538,7 @@
     int		eval_lavars = FALSE;
     char_u	*tofree = NULL;
     int		equal_arrow = **arg == '(';
+    int		white_error = FALSE;
 
     if (equal_arrow && !in_vim9script())
 	return NOTDONE;
@@ -529,7 +552,7 @@
     ret = get_function_args(&s, equal_arrow ? ')' : '-', NULL,
 	    types_optional ? &argtypes : NULL, types_optional,
 						 NULL, NULL, TRUE, NULL, NULL);
-    if (ret == FAIL || skip_arrow(s, equal_arrow, &ret_type) == NULL)
+    if (ret == FAIL || skip_arrow(s, equal_arrow, &ret_type, NULL) == NULL)
     {
 	if (types_optional)
 	    ga_clear_strings(&argtypes);
@@ -546,12 +569,14 @@
 	    types_optional ? &argtypes : NULL, types_optional,
 					    &varargs, NULL, FALSE, NULL, NULL);
     if (ret == FAIL
-		  || (*arg = skip_arrow(*arg, equal_arrow, &ret_type)) == NULL)
+		  || (s = skip_arrow(*arg, equal_arrow, &ret_type,
+							&white_error)) == NULL)
     {
 	if (types_optional)
 	    ga_clear_strings(&argtypes);
-	return NOTDONE;
+	return white_error ? FAIL : NOTDONE;
     }
+    *arg = s;
 
     // Set up a flag for checking local variables and arguments.
     if (evaluate)
@@ -647,8 +672,6 @@
 	    if (register_closure(fp) == FAIL)
 		goto errret;
 	}
-	else
-	    fp->uf_scoped = NULL;
 
 #ifdef FEAT_PROFILE
 	if (prof_def_func())
diff --git a/src/version.c b/src/version.c
index 762e912..75a1e4b 100644
--- a/src/version.c
+++ b/src/version.c
@@ -751,6 +751,8 @@
 static int included_patches[] =
 {   /* Add new patch number below this line */
 /**/
+    2212,
+/**/
     2211,
 /**/
     2210,
diff --git a/src/vim9type.c b/src/vim9type.c
index 7d8df69..6ea362c 100644
--- a/src/vim9type.c
+++ b/src/vim9type.c
@@ -338,6 +338,8 @@
 	    if (ufunc->uf_def_status == UF_TO_BE_COMPILED
 			    && compile_def_function(ufunc, TRUE, NULL) == FAIL)
 		return NULL;
+	    if (ufunc->uf_func_type == NULL)
+		set_function_type(ufunc);
 	    if (ufunc->uf_func_type != NULL)
 		return ufunc->uf_func_type;
 	}