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Equality not working while comparing Integer and int [duplicate]

This question already has answers here:
Why is 128==128 false but 127==127 is true when comparing Integer wrappers in Java?
(8 answers)
Closed 8 years ago.
Why Integer == operator does not work for 128 and after Integer values? Can someone explain this situation?
This is my Java environment:
java version "1.6.0_37"
Java(TM) SE Runtime Environment (build 1.6.0_37-b06)
Java HotSpot(TM) 64-Bit Server VM (build 20.12-b01, mixed mode)
Sample Code:
Integer a;
Integer b;
a = 129;
b = 129;
for (int i = 0; i < 200; i++) {
a = i;
b = i;
if (a != b) {
System.out.println("Value:" + i + " - Different values");
} else {
System.out.println("Value:" + i + " - Same values");
}
}
Some part of console output:
Value:124 - Same values
Value:125 - Same values
Value:126 - Same values
Value:127 - Same values
Value:128 - Different values
Value:129 - Different values
Value:130 - Different values
Value:131 - Different values
Value:132 - Different values

Check out the source code of Integer . You can see the caching of values there.
The caching happens only if you use Integer.valueOf(int), not if you use new Integer(int). The autoboxing used by you uses Integer.valueOf.
According to the JLS, you can always count on the fact that for values between -128 and 127, you get the identical Integer objects after autoboxing, and on some implementations you might get identical objects even for higher values.
Actually in Java 7 (and I think in newer versions of Java 6), the implementation of the IntegerCache class has changed, and the upper bound is no longer hardcoded, but it is configurable via the property "java.lang.Integer.IntegerCache.high", so if you run your program with the VM parameter -Djava.lang.Integer.IntegerCache.high=1000, you get "Same values" for all values.
But the JLS still guarantees it only until 127:
Ideally, boxing a given primitive value p, would always yield an identical reference. In practice, this may not be feasible using existing implementation techniques. The rules above are a pragmatic compromise. The final clause above requires that certain common values always be boxed into indistinguishable objects. The implementation may cache these, lazily or eagerly.
For other values, this formulation disallows any assumptions about the identity of the boxed values on the programmer's part. This would allow (but not require) sharing of some or all of these references.
This ensures that in most common cases, the behavior will be the desired one, without imposing an undue performance penalty, especially on small devices. Less memory-limited implementations might, for example, cache all characters and shorts, as well as integers and longs in the range of -32K - +32K.

Integer is a wrapper class for int.
Integer != Integer compares the actual object reference, where int != int will compare the values.
As already stated, values -128 to 127 are cached, so the same objects are returned for those.
If outside that range, separate objects will be created so the reference will be different.
To fix it:
Make the types int or
Cast the types to int or
Use .equals()

According to Java Language Specifications:
If the value p being boxed is true, false, a byte, a char in the range
\u0000 to \u007f, or an int or short number between -128 and 127, then
let r1 and r2 be the results of any two boxing conversions of p. It is
always the case that r1 == r2.
JLS Boxing Conversions
Refer to this article for more information on int caching

The Integer object has an internal cache mechanism:
private static class IntegerCache {
static final int high;
static final Integer cache[];
static {
final int low = -128;
// high value may be configured by property
int h = 127;
if (integerCacheHighPropValue != null) {
// Use Long.decode here to avoid invoking methods that
// require Integer's autoboxing cache to be initialized
int i = Long.decode(integerCacheHighPropValue).intValue();
i = Math.max(i, 127);
// Maximum array size is Integer.MAX_VALUE
h = Math.min(i, Integer.MAX_VALUE - -low);
}
high = h;
cache = new Integer[(high - low) + 1];
int j = low;
for(int k = 0; k < cache.length; k++)
cache[k] = new Integer(j++);
}
private IntegerCache() {}
}
Also see valueOf method:
public static Integer valueOf(int i) {
if(i >= -128 && i <= IntegerCache.high)
return IntegerCache.cache[i + 128];
else
return new Integer(i);
}
This is why you should use valueOf instead of new Integer. Autoboxing uses this cache.
Also see this post: https://effective-java.com/2010/01/java-performance-tuning-with-maximizing-integer-valueofint/
Using == is not a good idea, use equals to compare the values.

Use .equals() instead of ==.
Integer values are only cached for numbers between -127 and 128, because they are used most often.
if (a.equals(b)) { ... }

Depending on how you get your Integer instances, it may not work for any value:
System.out.println(new Integer(1) == new Integer(1));
prints
false
This is because the == operator applied to reference-typed operands has nothing to do with the value those operands represent.

It's because Integer class implementation logic. It has prepared objects for numbers till 128. You can checkout http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/6-b14/java/lang/Integer.java source of open-jdk for example (search for cache[]).
Basically objects shouldn't be compared using == at all, with one exception to Enums.

Wrapper class and Reference [duplicate]

This question already has answers here:
Why is 128==128 false but 127==127 is true when comparing Integer wrappers in Java?
(8 answers)
Closed 8 years ago.
Why Integer == operator does not work for 128 and after Integer values? Can someone explain this situation?
This is my Java environment:
java version "1.6.0_37"
Java(TM) SE Runtime Environment (build 1.6.0_37-b06)
Java HotSpot(TM) 64-Bit Server VM (build 20.12-b01, mixed mode)
Sample Code:
Integer a;
Integer b;
a = 129;
b = 129;
for (int i = 0; i < 200; i++) {
a = i;
b = i;
if (a != b) {
System.out.println("Value:" + i + " - Different values");
} else {
System.out.println("Value:" + i + " - Same values");
}
}
Some part of console output:
Value:124 - Same values
Value:125 - Same values
Value:126 - Same values
Value:127 - Same values
Value:128 - Different values
Value:129 - Different values
Value:130 - Different values
Value:131 - Different values
Value:132 - Different values

Check out the source code of Integer . You can see the caching of values there.
The caching happens only if you use Integer.valueOf(int), not if you use new Integer(int). The autoboxing used by you uses Integer.valueOf.
According to the JLS, you can always count on the fact that for values between -128 and 127, you get the identical Integer objects after autoboxing, and on some implementations you might get identical objects even for higher values.
Actually in Java 7 (and I think in newer versions of Java 6), the implementation of the IntegerCache class has changed, and the upper bound is no longer hardcoded, but it is configurable via the property "java.lang.Integer.IntegerCache.high", so if you run your program with the VM parameter -Djava.lang.Integer.IntegerCache.high=1000, you get "Same values" for all values.
But the JLS still guarantees it only until 127:
Ideally, boxing a given primitive value p, would always yield an identical reference. In practice, this may not be feasible using existing implementation techniques. The rules above are a pragmatic compromise. The final clause above requires that certain common values always be boxed into indistinguishable objects. The implementation may cache these, lazily or eagerly.
For other values, this formulation disallows any assumptions about the identity of the boxed values on the programmer's part. This would allow (but not require) sharing of some or all of these references.
This ensures that in most common cases, the behavior will be the desired one, without imposing an undue performance penalty, especially on small devices. Less memory-limited implementations might, for example, cache all characters and shorts, as well as integers and longs in the range of -32K - +32K.

Integer is a wrapper class for int.
Integer != Integer compares the actual object reference, where int != int will compare the values.
As already stated, values -128 to 127 are cached, so the same objects are returned for those.
If outside that range, separate objects will be created so the reference will be different.
To fix it:
Make the types int or
Cast the types to int or
Use .equals()

According to Java Language Specifications:
If the value p being boxed is true, false, a byte, a char in the range
\u0000 to \u007f, or an int or short number between -128 and 127, then
let r1 and r2 be the results of any two boxing conversions of p. It is
always the case that r1 == r2.
JLS Boxing Conversions
Refer to this article for more information on int caching

The Integer object has an internal cache mechanism:
private static class IntegerCache {
static final int high;
static final Integer cache[];
static {
final int low = -128;
// high value may be configured by property
int h = 127;
if (integerCacheHighPropValue != null) {
// Use Long.decode here to avoid invoking methods that
// require Integer's autoboxing cache to be initialized
int i = Long.decode(integerCacheHighPropValue).intValue();
i = Math.max(i, 127);
// Maximum array size is Integer.MAX_VALUE
h = Math.min(i, Integer.MAX_VALUE - -low);
}
high = h;
cache = new Integer[(high - low) + 1];
int j = low;
for(int k = 0; k < cache.length; k++)
cache[k] = new Integer(j++);
}
private IntegerCache() {}
}
Also see valueOf method:
public static Integer valueOf(int i) {
if(i >= -128 && i <= IntegerCache.high)
return IntegerCache.cache[i + 128];
else
return new Integer(i);
}
This is why you should use valueOf instead of new Integer. Autoboxing uses this cache.
Also see this post: https://effective-java.com/2010/01/java-performance-tuning-with-maximizing-integer-valueofint/
Using == is not a good idea, use equals to compare the values.

Use .equals() instead of ==.
Integer values are only cached for numbers between -127 and 128, because they are used most often.
if (a.equals(b)) { ... }

Depending on how you get your Integer instances, it may not work for any value:
System.out.println(new Integer(1) == new Integer(1));
prints
false
This is because the == operator applied to reference-typed operands has nothing to do with the value those operands represent.

It's because Integer class implementation logic. It has prepared objects for numbers till 128. You can checkout http://grepcode.com/file/repository.grepcode.com/java/root/jdk/openjdk/6-b14/java/lang/Integer.java source of open-jdk for example (search for cache[]).
Basically objects shouldn't be compared using == at all, with one exception to Enums.

Primitive int vs Integer type [duplicate]

I just saw code similar to this:
public class Scratch
{
public static void main(String[] args)
{
Integer a = 1000, b = 1000;
System.out.println(a == b);
Integer c = 100, d = 100;
System.out.println(c == d);
}
}
When ran, this block of code will print out:
false
true
I understand why the first is false: because the two objects are separate objects, so the == compares the references. But I can't figure out, why is the second statement returning true? Is there some strange autoboxing rule that kicks in when an Integer's value is in a certain range? What's going on here?

The true line is actually guaranteed by the language specification. From section 5.1.7:
If the value p being boxed is true,
false, a byte, a char in the range
\u0000 to \u007f, or an int or short
number between -128 and 127, then let
r1 and r2 be the results of any two
boxing conversions of p. It is always
the case that r1 == r2.
The discussion goes on, suggesting that although your second line of output is guaranteed, the first isn't (see the last paragraph quoted below):
Ideally, boxing a given primitive
value p, would always yield an
identical reference. In practice, this
may not be feasible using existing
implementation techniques. The rules
above are a pragmatic compromise. The
final clause above requires that
certain common values always be boxed
into indistinguishable objects. The
implementation may cache these, lazily
or eagerly.
For other values, this formulation
disallows any assumptions about the
identity of the boxed values on the
programmer's part. This would allow
(but not require) sharing of some or
all of these references.
This ensures that in most common
cases, the behavior will be the
desired one, without imposing an undue
performance penalty, especially on
small devices. Less memory-limited
implementations might, for example,
cache all characters and shorts, as
well as integers and longs in the
range of -32K - +32K.

public class Scratch
{
public static void main(String[] args)
{
Integer a = 1000, b = 1000; //1
System.out.println(a == b);
Integer c = 100, d = 100; //2
System.out.println(c == d);
}
}
Output:
false
true
Yep the first output is produced for comparing reference; 'a' and 'b' - these are two different reference. In point 1, actually two references are created which is similar as -
Integer a = new Integer(1000);
Integer b = new Integer(1000);
The second output is produced because the JVM tries to save memory, when the Integer falls in a range (from -128 to 127). At point 2 no new reference of type Integer is created for 'd'. Instead of creating a new object for the Integer type reference variable 'd', it only assigned with previously created object referenced by 'c'. All of these are done by JVM.
These memory saving rules are not only for Integer. for memory saving purpose, two instances of the following wrapper objects (while created through boxing), will always be == where their primitive values are the same -
Boolean
Byte
Character from \u0000 to \u007f (7f is 127 in decimal)
Short and Integer from -128 to 127

Integer objects in some range (I think maybe -128 through 127) get cached and re-used. Integers outside that range get a new object each time.

Integer Cache is a feature that was introduced in Java Version 5 basically for :
Saving of Memory space
Improvement in performance.
Integer number1 = 127;
Integer number2 = 127;
System.out.println("number1 == number2" + (number1 == number2);
OUTPUT: True
Integer number1 = 128;
Integer number2 = 128;
System.out.println("number1 == number2" + (number1 == number2);
OUTPUT: False
HOW?
Actually when we assign value to an Integer object, it does auto promotion behind the hood.
Integer object = 100;
is actually calling Integer.valueOf() function
Integer object = Integer.valueOf(100);
Nitty-gritty details of valueOf(int)
public static Integer valueOf(int i) {
if (i >= IntegerCache.low && i <= IntegerCache.high)
return IntegerCache.cache[i + (-IntegerCache.low)];
return new Integer(i);
}
Description:
This method will always cache values in the range -128 to 127,
inclusive, and may cache other values outside of this range.
When a value within range of -128 to 127 is required it returns a constant memory location every time.
However, when we need a value thats greater than 127
return new Integer(i);
returns a new reference every time we initiate an object.
Furthermore, == operators in Java is used to compares two memory references and not values.
Object1 located at say 1000 and contains value 6.
Object2 located at say 1020 and contains value 6.
Object1 == Object2 is False as they have different memory locations though contains same values.

Yes, there is a strange autoboxing rule that kicks in when the values are in a certain range. When you assign a constant to an Object variable, nothing in the language definition says a new object must be created. It may reuse an existing object from cache.
In fact, the JVM will usually store a cache of small Integers for this purpose, as well as values such as Boolean.TRUE and Boolean.FALSE.

My guess is that Java keeps a cache of small integers that are already 'boxed' because they are so very common and it saves a heck of a lot of time to re-use an existing object than to create a new one.

That is an interesting point.
In the book Effective Java suggests always to override equals for your own classes. Also that, to check equality for two object instances of a java class always use the equals method.
public class Scratch
{
public static void main(String[] args)
{
Integer a = 1000, b = 1000;
System.out.println(a.equals(b));
Integer c = 100, d = 100;
System.out.println(c.equals(d));
}
}
returns:
true
true

Direct assignment of an int literal to an Integer reference is an example of auto-boxing, where the literal value to object conversion code is handled by the compiler.
So during compilation phase compiler converts Integer a = 1000, b = 1000; to Integer a = Integer.valueOf(1000), b = Integer.valueOf(1000);.
So it is Integer.valueOf() method which actually gives us the integer objects, and if we look at the source code of Integer.valueOf() method we can clearly see the method caches integer objects in the range -128 to 127 (inclusive).
/**
* Returns an {#code Integer} instance representing the specified
* {#code int} value. If a new {#code Integer} instance is not
* required, this method should generally be used in preference to
* the constructor {#link #Integer(int)}, as this method is likely
* to yield significantly better space and time performance by
* caching frequently requested values.
*
* This method will always cache values in the range -128 to 127,
* inclusive, and may cache other values outside of this range.
*
* #param i an {#code int} value.
* #return an {#code Integer} instance representing {#code i}.
* #since 1.5
*/
public static Integer valueOf(int i) {
if (i >= IntegerCache.low && i <= IntegerCache.high)
return IntegerCache.cache[i + (-IntegerCache.low)];
return new Integer(i);
}
So instead of creating and returning new integer objects, Integer.valueOf() the method returns Integer objects from the internal IntegerCache if the passed int literal is greater than -128 and less than 127.
Java caches these integer objects because this range of integers gets used a lot in day to day programming which indirectly saves some memory.
The cache is initialized on the first usage when the class gets loaded into memory because of the static block. The max range of the cache can be controlled by the -XX:AutoBoxCacheMax JVM option.
This caching behaviour is not applicable for Integer objects only, similar to Integer.IntegerCache we also have ByteCache, ShortCache, LongCache, CharacterCache for Byte, Short, Long, Character respectively.
You can read more on my article Java Integer Cache - Why Integer.valueOf(127) == Integer.valueOf(127) Is True.

In Java the boxing works in the range between -128 and 127 for an Integer. When you are using numbers in this range you can compare it with the == operator. For Integer objects outside the range you have to use equals.

If we check the source code of the Integer class, we can find the source of the valueOf method just like this:
public static Integer valueOf(int i) {
if (i >= IntegerCache.low && i <= IntegerCache.high)
return IntegerCache.cache[i + (-IntegerCache.low)];
return new Integer(i);
}
This explains why Integer objects, which are in the range from -128 (Integer.low) to 127 (Integer.high), are the same referenced objects during the autoboxing. And we can see there is a class IntegerCache that takes care of the Integer cache array, which is a private static inner class of the Integer class.
There is another interesting example that may help to understand this weird situation:
public static void main(String[] args) throws ReflectiveOperationException {
Class cache = Integer.class.getDeclaredClasses()[0];
Field myCache = cache.getDeclaredField("cache");
myCache.setAccessible(true);
Integer[] newCache = (Integer[]) myCache.get(cache);
newCache[132] = newCache[133];
Integer a = 2;
Integer b = a + a;
System.out.printf("%d + %d = %d", a, a, b); // The output is: 2 + 2 = 5
}

In Java 5, a new feature was introduced to save the memory and improve performance for Integer type objects handlings. Integer objects are cached internally and reused via the same referenced objects.
This is applicable for Integer values in range between –127 to +127
(Max Integer value).
This Integer caching works only on autoboxing. Integer objects will
not be cached when they are built using the constructor.
For more detail pls go through below Link:
Integer Cache in Detail

Class Integer contains cache of values between -128 and 127, as it required by JLS 5.1.7. Boxing Conversion. So when you use the == to check the equality of two Integers in this range, you get the same cached value, and if you compare two Integers out of this range, you get two diferent values.
You can increase the cache upper bound by changing the JVM parameters:
-XX:AutoBoxCacheMax=<cache_max_value>
or
-Djava.lang.Integer.IntegerCache.high=<cache_max_value>
See inner IntegerCache class:
/**
* Cache to support the object identity semantics of autoboxing for values
* between -128 and 127 (inclusive) as required by JLS.
*
* The cache is initialized on first usage. The size of the cache
* may be controlled by the {#code -XX:AutoBoxCacheMax=<size>} option.
* During VM initialization, java.lang.Integer.IntegerCache.high property
* may be set and saved in the private system properties in the
* sun.misc.VM class.
*/
private static class IntegerCache {
static final int low = -128;
static final int high;
static final Integer cache[];
static {
// high value may be configured by property
int h = 127;
String integerCacheHighPropValue =
sun.misc.VM.getSavedProperty("java.lang.Integer.IntegerCache.high");
if (integerCacheHighPropValue != null) {
try {
int i = parseInt(integerCacheHighPropValue);
i = Math.max(i, 127);
// Maximum array size is Integer.MAX_VALUE
h = Math.min(i, Integer.MAX_VALUE - (-low) -1);
} catch( NumberFormatException nfe) {
// If the property cannot be parsed into an int, ignore it.
}
}
high = h;
cache = new Integer[(high - low) + 1];
int j = low;
for(int k = 0; k < cache.length; k++)
cache[k] = new Integer(j++);
// range [-128, 127] must be interned (JLS7 5.1.7)
assert IntegerCache.high >= 127;
}
private IntegerCache() {}
}

Clarification regarding Integer comparison? [duplicate]

This question already has answers here:
Boxed Primitives and Equivalence
(4 answers)
Closed 9 years ago.
class Demo{
public static void main(String[] args) {
Integer i = Integer.valueOf(127);
Integer j = Integer.valueOf(127);
System.out.println(i==j);
Integer k = Integer.valueOf(128);
Integer l = Integer.valueOf(128);
System.out.println(k==l);
}
}
The first print statement prints true whereas the second one prints false.Why?
Please explain in detail.

It is because Integer caching.
From java language specification 5.1.7
If the value p being boxed is true, false, a byte, or a char in the range
\u0000 to \u007f, or an int or short number between -128 and 127 (inclusive),
then let r1 and r2 be the results of any two boxing conversions of p.
It is always the case that r1 == r2.
Ideally, boxing a given primitive value p, would always yield an identical reference.
Integer i = Integer.valueOf(127);
Integer j = Integer.valueOf(127);
Both i and j point to same object. As the value is less than 127.
Integer k = Integer.valueOf(128);
Integer l = Integer.valueOf(128);
Both k & l point to different objects. As the value is greater than 127.
As, you are checking the object references using == operator, you are getting different results.
Update
You can use equals() method to get the same result
System.out.println(i.equals(j));//equals() compares the values of objects not references
System.out.println(k.equals(l));//equals() compares the values of objects not references
Output is
true
true
== operator checks the actual object references.
equals() checks the values(contents) of objects.
Answer to comment
You have,
Integer i = Integer.valueOf(127);
Here new object is created & reference is assigned to i
Integer j = Integer.valueOf(127); //will not create new object as it already exists
Due to integer caching (number between -128 to 127) previously created object reference is assigned to j, then i and j point to same objects.
Now consider,
Integer p = Integer.valueOf(127); //create new object
Integer q = Integer.valueOf(126); //this also creates new object as it does not exists
Obviously both checks using == operator and equals() method will result false. As both are different references and have different vales.

i==j
is true for values between -128 and 127 due to integer caching.
From language spec
If the value p being boxed is true, false, a byte, or a char in the range \u0000 to \u007f, or an int or short number between -128 and 127 (inclusive), then let r1 and r2 be the results of any two boxing conversions of p. It is always the case that r1 == r2.
Integer i = Integer.valueOf(127); // new object
Integer j = Integer.valueOf(127); //cached object reference
Integer k = Integer.valueOf(128); // new object
Integer l = Integer.valueOf(128); // new object
So i and j are pointing to same reference because of value 127.
Where as k and l pointing to difference references, because their value >127
There is a reason mentioned in docs for this behaviour:
The behavior will be the desired one, without imposing an undue performance penalty, especially on small devices. Less memory-limited implementations might

valueOf returns an Integer Object. Integer is a wrapper class for int. For your case,
Integer == Integer compares the actual object reference, where int == int will compare the values.
As already stated, values -128 to 127 are cached, so the same objects are returned for those.
If outside that range, separate objects will be created so the reference will be different.
You fix it by following way if you want same result for your both cases:
Make the types int
Cast the types to int or
Use .equals()

Integer i=3 vs Integer i= new Integer (3) [duplicate]

This question already has answers here:
Weird Integer boxing in Java
(12 answers)
Why are autoboxed Integers and .getClass() values ==-equal, not only .equals()-equal?
(4 answers)
Closed 9 years ago.
I am comparing 2 pieces of code. First
Integer i=3;
Integer j=3;
if(i==j)
System.out.println("i==j"); //prints i==j
Second,
Integer i=3;
Integer j=new Integer(3);
if(i==j)
System.out.println("i==j"); // does not print
I have doubt that in the first snippet why i==j is being printed? Shouldn't the references be different?

It's to do with how boxing works. From the JLS section 5.1.7:
If the value p being boxed is true, false, a byte, or a char in the range \u0000 to \u007f, or an int or short number between -128 and 127 (inclusive), then let r1 and r2 be the results of any two boxing conversions of p. It is always the case that r1 == r2.
Basically, a Java implementation must cache the boxed representations for suitably small values, and may cache more. The == operator is just comparing references, so it's specifically detecting whether the two variables refer to the same object. In the second code snippet they definitely won't, as new Integer(3) definitely isn't the same reference as any previously created one... it always creates a new object.
Due to the rules above, this code must always give the same result:
Integer x = 127;
Integer y = 127;
System.out.println(x == y); // Guarantee to print true
Whereas this could go either way:
Integer x = 128;
Integer y = 128;
System.out.println(x == y); // Might print true, might print false

Java pools integers between -128 and 127 and hence both the references are the same.
Integer i=3;
Integer j=3;
This results in autoboxing and 3 is converted to Integer 3. So for i is referring to an Integer object that is in constant pool, now when you do j=3, the same reference as that of i is assigned to j.
Whereas below code:
Integer j=new Integer(3);
always results in a new Integer creation, in heap. This is not pooled. And hence you see that both reference are referring to different objects. Which results in
Integer i=3;
Integer j=new Integer(3);
if(i==j)
System.out.println("i==j"); // **does not print**

Integer i=3;
Integer j=3;
if(i==j)System.out.println("i==j");
Here, 3 is being auto-boxed and hence i and j point to the same Integer.
Integer i=3;
Integer j=new Integer(3);
if(i==j)System.out.println("i==j"); // does not print
Here, i points to the auto-boxed Integer whereas j points to a new Integer and hence there references fail the equals == operator test.
But, here's some more food for thought.
Integer i=300;
Integer j=300;
if(i!=j)System.out.println("i!=j"); // prints i!=j
Why? Because, auto-boxing shares Integer instances between -128 to 127 only. This behaviour, however, may differ between different Java implementations.

I have doubt that in the first snippet why i==j is being printed?
Shouldn't the references be different?
Because,
Integer i=3;
Integer j=3;
are internally using Integer#valueOf() to perform autoBoxing . And oracle doc says about valueOf() method that:
Returns an Integer instance representing the specified int value. If a
new Integer instance is not required, this method should generally be
used in preference to the constructor Integer(int), as this method is
likely to yield significantly better space and time performance by
caching frequently requested values. This method will always cache
values in the range -128 to 127, inclusive, and may cache other values
outside of this range.
Since the value 3 is cached therefore, both variables i and j are referencing the same object. So, i==j is returning true. Integer#valueOf() uses flyweight pattern.

No they shouldn't, because java can use pre-fabricated Integer objects for small numbers when autoboxing.

Because in the second peice of code your first integer is being auto-boxed while the second is not.
This means a new Integer instance is being created on the fly. These 2 object instances are different. The equality check will return false there as the two instances are actually different pieces of memory.

Interpreter/JIT optimizer can put all 3's in same box. But if you force a "new" then you get another address.
Try
j=8; // after initialization of i and j
then see the j's address changed for first version.

In a similar fashion to strings, when autoboxing is used, such as in
Integer i = 3;
Integer j = 3;
Java can draw from a pool of prefabricated objects. In the case of j, there's already an Integer instance representing the value of 3 in the pool, so it draws from that. Thus, i and j point to the same thing, thus i == j.
In your second example, you're explicitly instantiating a new Integer object for j, so i and j point to different objects, thus i != j.

In Following Piece of Code:
Integer i=3;
Integer j=3;
if(i==j)
System.out.println("i==j");
Here, "==" compares reference with each other rather than the value.
So, Integer i and j both are referring to same reference in the memory.
while in Following Piece of Code:
Integer i=3;
Integer j=new Integer(3);
if(i==j)
System.out.println("i==j");
The reference to both values are changed because 'j' is newly created object/reference of Integer in memory while 'i' is just referring to a value.
Therefore, the output of 1st code is "i==j" and 2nd code does not have any output.
Hope this helps.