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SD : File class
isDirectory()
Directories (or folders) are special kinds of files, this function reports if the current file is a directory or not. 
Syntax
file.isDirectory()
Parameters
file: an instance of the File class (returned by file.open()
Returns
boolean
Example
  #include <SD.h>
File root;
void setup()
{
  Serial.begin(9600);
  pinMode(10, OUTPUT);
  SD.begin(10);
  root = SD.open("/");
  printDirectory(root, 0);
  Serial.println("done!");
}
void loop()
{
  // nothing happens after setup finishes.
}
void printDirectory(File dir, int numTabs) {
   while(true) {
     File entry =  dir.openNextFile();
     if (! entry) {
       // no more files
       //Serial.println("**nomorefiles**");
       break;
     }
     for (uint8_t i=0; i<numTabs; i++) {
       Serial.print('\t');
     }
     Serial.print(entry.name());
     if (entry.isDirectory()) {
       Serial.println("/");
       printDirectory(entry, numTabs+1);
     } else {
       // files have sizes, directories do not
       Serial.print("\t\t");
       Serial.println(entry.size(), DEC);
     }
   }
}
 
See Also
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