How does System.out.print() work?

It is a very sensitive point to understand how System.out.print works. If the first element is String then plus(+) operator works as String concate operator. If the first element is integer plus(+) operator works as mathematical operator.

public static void main(String args[]) {
    System.out.println("String" + 8 + 8); //String88
    System.out.println(8 + 8+ "String"); //16String
}

System.out is just an instance of PrintStream. You can check its JavaDoc. Its variability is based on method overloading (multiple methods with the same name, but with different parameters).

This print stream is sending its output to so called standard output.

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In your question you mention a technique called variadic functions (or varargs). Unfortunately that is not supported by PrintStream#print, so you must be mistaking this with something else. However it is very easy to implement these in Java. Just check the documentation.

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And if you are curious how Java knows how to concatenate non-string variables "foo" + 1 + true + myObj, it is mainly responsibility of a Java compiler.

When there is no variable involved in the concatenation, the compiler simply concatenates the string. When there is a variable involved, the concatenation is translated into StringBuilder#append chain. There is no concatenation instruction in the resulting byte code; i.e. the + operator (when talking about string concatenation) is resolved during the compilation.

All types in Java can be converted to string (int via methods in Integer class, boolean via methods in Boolean class, objects via their own #toString, ...). You can check StringBuilder's source code if you are interested.

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UPDATE: I was curious myself and checked (using javap) what my example System.out.println("foo" + 1 + true + myObj) compiles into. The result:

System.out.println(new StringBuilder("foo1true").append(myObj).toString());

Even though it look as if System.put.print...() take a variable number of arguments it doesn't. If you look closely, the string is simply concatenated and you can do the same with any string. The only thing that happens is, that the objects you are passing in, are implicitily converted to a string by java calling the toString() method.

If you try to do this it will fail:

int i = 0;
String s = i;
System.out.println(s);

Reason is, because here the implicit conversion is not done.

However if you change it to

int i = 0;
String s = "" + i;
System.out.println(s);

It works and this is what happens when using System.put.print...() as well.

If you want to implement a variable number of arguments in java to mimimc something like C printf you can declare it like this:

public void t(String s, String ... args)
{
    String val = args[1];
}

What happens here is that an array of Strings is passed in, with the length of the provided arguments. Here Java can do the type checking for you.

If you want truly a printf then you have to do it like this:

public void t(String s, Object ... args)
{
    String val = args[1].toString();
}

Then would you have to cast or interpret the arguments accordingly.