diff --git a/README.md b/README.md
index b4ddcfa33bb36a9cb0a59cc899bd3bf17906b6fc..ea15132cde7b17deb8c378be9f9414eec350641c 100644
--- a/README.md
+++ b/README.md
@@ -3,6 +3,13 @@ Download the desired Tagged version, never the current master.
 Source the cute_little_functions.R into R/RStudio to have the functions available in the working environment.
 
 
-WHAT'S NEW IN v1.2:
+WHAT'S NEW IN 
+
+v1.3:
+
+1) NULL arguments, non NULL argument, logical and NA arguments added
+
+
+v1.2:
 
 1) printing result improvement
diff --git a/r_debugging_tools.R b/r_debugging_tools.R
index 84a397c9ae0b29afb61bbd1837d517a99d15b401..7489584496fd6fad7ae079a0e779283e83dcc4ff 100644
--- a/r_debugging_tools.R
+++ b/r_debugging_tools.R
@@ -13,50 +13,80 @@
 str_basic_arg_check_dev <- '
 # AIM:
 # string that check:
-# NULL argument default value
-# argument without default values
+# NULL argument default values
+# arguments without default values
+# arguments with variable as default value (FORBIDDEN)
 # STRING
 function.name <- as.list(match.call(expand.dots=FALSE))[[1]]
 default.arg.list <- formals(fun = sys.function(sys.parent(n = 2))) # list of all the arguments of the function with their default values (not the values of the user !). Use n = 2 when he string has to be evaluated by eval() inside a function. Use n=1 (default) if not evaluation. It seems that ls() as first line of the function provide the names of the arguments (empty, called, etc., or not)
 arg.without.default.value <- sapply(default.arg.list, is.symbol) & sapply(sapply(default.arg.list, as.character), identical, "") # logical to detect argument without default values (these are typeof "symbol" and class "name" and empty character
+name.or.empty.default.val.arg.log <- sapply(default.arg.list, FUN = "class") == "name"
+
+if(length(name.or.empty.default.val.arg.log) != length(arg.without.default.value)){
+stop(paste0("\n\n================\n\nINTERNAL ERROR IN str_basic_arg_check_dev IN ", function.name,". CODE MUST BE MODIFED\n\n================\n\n"))
+}else if(any(name.or.empty.default.val.arg.log & ! arg.without.default.value)){
+cat(paste0("\n\n================\n\nALERT\nDEFAULT VALUE OF ARGUMENT OF ", function.name," MUST NOT BE A VARIABLE (POTENTIAL PROBLEM OF SCOPE)\nTHE CONCERNED ARGUMENTS ARE:\n", paste(names(formals(fun = sys.function(sys.parent(n = 2))))[name.or.empty.default.val.arg.log & ! arg.without.default.value], collapse = "\n"), "\n\n================\n\n"))
+}
+
 cat(paste0("\n\n================================\n\n", function.name," FUNCTION ARGUMENT CHECKING\n\n================================\n"))
 cat(paste0("\n================\nARGUMENTS OF THE FUNCTION ARE (INCLUDING DEFAULT VALUES):\n\n"))
 print(default.arg.list)
+
+if(any(arg.without.default.value)){ # argument names that are empty by default added now because null arguments will not be inserted thenafter
+cat(paste0("\n================\nARGUMENTS WITHOUT DEFAULT VALUES ARE: ", paste(names(default.arg.list)[arg.without.default.value], collapse= " ")))
+}else{
+cat(paste0("\n================\nNO ARGUMENTS WITHOUT DEFAULT VALUES"))
+}
+
 if(any(sapply(default.arg.list, FUN = is.null))){
 cat(paste0("\n================\nNULL ARGUMENTS ARE: ", paste(names(default.arg.list)[sapply(default.arg.list, FUN = is.null)], collapse= " ")))
 }else{
 cat(paste0("\n================\nNO NULL ARGUMENTS"))
 }
-if(any(arg.without.default.value)){ # argument names that are empty by default added now because null arguments will not be inserted thenafter
-cat(paste0("\n================\nARGUMENTS WITHOUT DEFAULT VALUES ARE: ", paste(names(default.arg.list)[arg.without.default.value], collapse= " ")))
+
+if(any( ! sapply(default.arg.list, FUN = is.null))){
+cat(paste0("\n================\nNON NULL ARGUMENTS ARE: ", paste(names(default.arg.list)[ ! sapply(default.arg.list, FUN = is.null)], collapse= " ")))
 }else{
-cat(paste0("\n================\nNO ARGUMENTS WITHOUT DEFAULT VALUES"))
+cat(paste0("\n================\nNO NON NULL ARGUMENTS"))
+}
+
+if(any(sapply(default.arg.list, FUN = is.logical))){
+cat(paste0("\n================\nLOGICAL ARGUMENTS ARE: ", paste(names(default.arg.list)[sapply(default.arg.list, FUN = is.logical)], collapse= " ")))
+}else{
+cat(paste0("\n================\nNO LOGICAL ARGUMENTS"))
 }
+
+if(any(sapply(default.arg.list, FUN = is.na))){
+cat(paste0("\n================\nNA ARGUMENTS ARE: ", paste(names(default.arg.list)[sapply(default.arg.list, FUN = is.na)], collapse= " ")))
+}else{
+cat(paste0("\n================\nNO NA ARGUMENTS"))
+}
+
 cat(paste0("\n================\n\n"))
 # END STRING
 '
 
-str_arg_check_with_fun_param_check_dev <- '
+str_arg_check_with_fun_check_dev <- '
 # AIM:
 # string that check:
-# which arguments have been checked using fun_param_check()
+# which arguments have been checked using fun_check()
 # STRING
 function.name <- as.list(match.call(expand.dots=FALSE))[[1]]
 default.arg.list <- formals(fun = sys.function(sys.parent(n = 2))) # list of all the arguments of the function with their default values (not the values of the user !). Use n = 2 when he string has to be evaluated by eval() inside a function. Use n=1 (default) if not evaluation. It seems that ls() as first line of the function provide the names of the arguments (empty, called, etc., or not)
 if( ! any(ls() %in% "checked.arg.names")){
-    cat(paste0("\n\n================\n\nERROR: MISSING checked.arg.names OBJECT. ARGUMENTS MAY HAVE NOT BEEN CHECKED USING fun_param_check(). SEE THE fun_export_data() FUNCTION FOR THIS KIND OF CHECKING\n\n================\n\n"))
+    cat(paste0("\n\n================\n\nERROR: MISSING checked.arg.names OBJECT. ARGUMENTS MAY HAVE NOT BEEN CHECKED USING fun_check(). SEE THE fun_export_data() FUNCTION FOR THIS KIND OF CHECKING\n\n================\n\n"))
 }
-if( ! find("fun_param_check") == ".GlobalEnv"){
-    cat(paste0("\n\n================\n\nERROR: MISSING fun_param_check() FUNCTION IN THE GLOBAL ENVIRONMENT. ARGUMENTS MAY HAVE NOT BEEN CHECKED USING fun_param_check(). SEE THE fun_export_data() FUNCTION FOR THIS KIND OF CHECKING\n\n================\n\n"))
+if( ! find("fun_check") == ".GlobalEnv"){
+    cat(paste0("\n\n================\n\nERROR: MISSING fun_check() FUNCTION IN THE GLOBAL ENVIRONMENT. ARGUMENTS MAY HAVE NOT BEEN CHECKED USING fun_check(). SEE THE fun_export_data() FUNCTION FOR THIS KIND OF CHECKING\n\n================\n\n"))
 }
-cat(paste0("\n\n================================\n\n", function.name," FUNCTION ARGUMENT CHECKING USING fun_param_check()\n\n================================\n"))
+cat(paste0("\n\n================================\n\n", function.name," FUNCTION ARGUMENT CHECKING USING fun_check()\n\n================================\n"))
 if(any(duplicated(checked.arg.names))){ # for function debbuging
-cat(paste0("\n================\nTHESE ARGUMENTS ARE DUPLICATED IN CHECK USING fun_param_check(): ", paste(checked.arg.names[duplicated(checked.arg.names)], collapse = " ")))
+cat(paste0("\n================\nTHESE ARGUMENTS ARE DUPLICATED IN CHECK USING fun_check(): ", paste(checked.arg.names[duplicated(checked.arg.names)], collapse = " ")))
 }
 if( any(! names(default.arg.list) %in% checked.arg.names)){ # check the correct number of args # for function debbuging # names(default.arg.list) can be replaced by formalArgs("name of the created function")
-cat(paste0("\n================\nTHESE ARGUMENTS HAVE NOT BEEN CHECKED WITH fun_param_check(): ", paste(names(default.arg.list)[ ! names(default.arg.list) %in% checked.arg.names], collapse = " ")))
+cat(paste0("\n================\nTHESE ARGUMENTS HAVE NOT BEEN CHECKED WITH fun_check(): ", paste(names(default.arg.list)[ ! names(default.arg.list) %in% checked.arg.names], collapse = " ")))
 }else{
-cat(paste0("\n================\nALL THE ARGUMENTS HAVE BEEN CHECKED USING fun_param_check()"))
+cat(paste0("\n================\nALL THE ARGUMENTS HAVE BEEN CHECKED USING fun_check()"))
 }
 cat(paste0("\n================\n\n"))
 # END STRING