I'm really puzzled by this. I'm dividing two positive numbers and getting a negative result (I'm using Java).
long hour = 92233720368L / (3600 * 1000000 );
I got as result -132.
But if I divide them as two long numbers, I get the right result:
long hour1 = 92233720368L / (3600000000L );
Then I get as result: 25
I'm wondering why it occurs...
Thank you in advance! :)
You must add L at the end of 3600 or 1000000:
Example:
long hour = 92233720368L / (3600 * 1000000L );
Here's what's hapenning:
System.out.println(3600 * 1000000); // Gives -694967296 because it exceeds the max limit of an integer size. So 92233720368L / -694967296 = -132
That's exactly what's happening in your division, the dominator is an integer and is considered as negative number for the reason I stated above. So in order to consider the multiplication result of type long you should add L after 3600 or after 1000000
It interprets 3600 and 10000000 as type int which cannot hold enough information to represent their product, and so you get a different number. You'd have to declare them both as type long to get the correct result.
Related
For a variable double spread = 0.135; I'm writing
"" + Math.round(spread * 10000) / 100 + "%"
This is attempting to round to 1 basis point. (100 basis points = 1 %).
But it doesn't include any decimal part.
Why?
This is yet another variant of integer division truncates; albeit slightly more deeply buried than normal.
Math.round(spread * 10000) returns an long. Dividing that by 100 will truncate the result to a long.
Your fix? Use 100.0 as the divisor. Then the expression is computed in floating point.
When you divide a long by an int you get a long which is a whole number. The simple solution is to divide by a double. Try
Math.round(spread * 10000) / 100.0 + "%"
or
Math.round(spread * 1e4) / 1e2 + "%"
Round() returns a long. The div operation is thus a long value.
I want to get the number of micro seconds in a day
so I tried as per below
long microDay = 24 * 60 * 60 * 1000 * 1000;
for which I am expecting value as 86400000000 but when I print it
System.out.println(microDay);
The value is 500654080
After spending 3 hours and breaking my head to know the reason,final I found that java think 24,60 and 1000 as int values and int*int =int but the maximum value of int is 2147483647 so it cant store 86400000000 and hence it the output is 500654080 (but I am not sure)
In the second case I wanted to calculate miliseconds in a day and the formula goes like this
long miliDay = 24 * 60 * 60 * 1000;
System.out.println(miliDay );
output 86400000
now when I did
System.out.println(microDay/ miliDay);
output 5
but when I tried this in a calculator 500654080/86400000= 5.794607407407407
why there is different in result?
You're performing 32-bit integer arithmetic, as every operand in 24 * 60 * 60 * 1000 * 1000 is an int... but the result is bigger than Integer.MAX_VALUE, so it's overflowing (just as you suspected). (This is actually happening at compile-time in this case, because it's a compile-time constant, but the effect is the same as if it happened at execution time.)
Effectively, each operation is truncated to 32 bits. As it happens, only the final multiplication by 1000 takes the result over 231 - 86400000 is fine.
86400000000 in binary is:
1010000011101110101110110000000000000
^
\- Bit 33
So after overflow, we just chop any leading bits until we've got 32:
00011101110101110110000000000000
And that value is 500654080.
Just use long instead, e.g.
long microDay = 24L * 60L * 60L * 1000L * 1000L;
(You definitely don't need all those constants to be of type long, but being consistent means it's obvious that all the operations will be performed using 64-bit arithmetic, with no need to consider associativity etc.)
A better approach, however, would be to use TimeUnit:
long microDay = TimeUnit.DAYS.toMicroseconds(1);
As for the division part, you're performing integer division - so the result is the integer part, rounded towards 0. If you want floating point arithmetic, you need to cast one of the operands to float or double... although if you start off with the right values, of course, you should get an exact integer anyway (1000).
For the first part, put a "L" at the end of one (or more) of the constants and Java will then use long arithmetic. e.g.
long microDay = 24L * 60 * 60 * 1000 * 1000;
Addendum: Why did you get 500654080?
86400000000 decimal = 141DD76000 hex.
But, the integer only holds 32 bits, which is 8 "digits". So you lose the leading 14 and retain 1DD76000 hex.
Converting that to decimal gives 500654080.
As for the division, when you divide ints by ints (or longs by longs) Java returns the result as an int or long, so it has to truncate (or round, but Java chose to truncate) the result to 5 instead of 5.7946... Force it to do floating point arithmetic by casting one of the values to a double, e.g.
System.out.println((double)microDay/ miliDay);
When you are performing a division between 2 integers, the results are an integer. The results of the arithmetic operation will be rounded down to the nearest integer.
int i = 5 / 2; // 2.5 is rounded down to 2
if you want the output to include the decimal precision, you will need to use a different primitive data type and explicitly specify your operands to be doubles.
double j = 5 / 2; //2.0 as 5 / 2 yields and integer 2 which will be casted to a double
double j = 5 / 2.0; //2.5 explicit usage of a double will tell the compiler to return the results in double
The nuclear operations inside
long microDay = 24 * 60 * 60 * 1000 * 1000;
are all Integers specific. Max value of Integer object is 2147483647. Which exceeds the original output which is long.
Simply specifying long to variable doesn't mean all operations using [ * ] will be done using long instances. All operations done in assignment became sort of truncated.
Solution is to explicitly specify that all nuclear operations should happen over long instance and not int instances.
long microDay = 24L * 60L * 60L * 1000L * 1000L;
Sorry im new to java, currently i wanted to code the value to next thousand instead of nearest thousand. But i have no ideas how to do it. I tried Math.round but it's for roundest. Please guide me, any help would be appreciated .
Expected output that i looking for :
example 1) if the place values less than 999, it will direct change to 1000
May i know how can i code the math formula for this ?
You can use Math.ceil for this.
// A quick code example :)
int val = 1400;
val = (int) (Math.ceil(val / 1000.0) * 1000);
You need to write some custom code as follow
int leftdigit=value/1000;
int nextthousand=(leftdigit+1)*1000;
Here Kindly note Math.ceil returns double so you should use it properly as stated below as for integer value it won't work properly and integer division will be performed.
double data = 1100;
data = Math.ceil(data / 1000) * 1000;
System.out.println(data);
OUTPUT
2000.0
Conversion from integers to floats leads to chaos, as for the same bit size, float mantissa length will always be smaller than integer size (IEEE-754 float mantissa is 23 bits vs 31 bits for the integer). Converting a large integer to float back and forth will not give the same integer after the conversion.
So here using Math.ceil() may work for integers or small long ints, but will break for large long values (63 bits).
Better use the following code (only works for value > 0):
int ii = ((i - 1) / 1000 + 1) * 1000;
or for long int version:
long ii = ((i - 1) / 1000 + 1) * 1000;
Does not unnecessarily overflow, keep precision even for large values, and probably way faster!
Addenda
As an example, the following java code:
int largeint = Integer.MAX_VALUE - 63;
float fl = (float)largeint;
int largeint2 = (int)fl;
System.out.println(largeint);
System.out.println(largeint2);
Print:
2147483584
2147483647
I thought long and Long class are more or less same thing.
I saw this link
When I displayed Long.MAX_VALUE it displayed 9223372036854775807.
But when I was doing multiplication of 1000000*1000000 which is 10^12 ; it gave overflow.
I was using long data type to store value...and while debugging it had value -727379968 after multiplication
Where am I making mistake or I am totally dumb?
Update: This was my code, and I got my mistake as specified in answer.
for (;;)
ppltn[i] = Integer.parseInt(tk.nextToken());
for (int i = 0; i < noc; i++) //sum is of long type
sum = sum + min * ppltn[i]; //min and ppltn are of integer type
The expression
1000000 * 1000000;
is integer multiplication as both operands are integers. Therefore you are limited by the max value of an integer.
You need to do long multiplication
1000000L * 1000000 /* L if you want it*/;
where at least one operand is a long and the other gets promoted to a long (if it isn't already).
In Java, ^ doesn't mean "power". It is a bitwise XOR operator.
therefore 10^6 means 10 XOR 6 instead 10 * 10 * 10 * 10 * 10 * 10
it is hard to guess without seeing your code.
However my guess is you are doing somehting like
long l = 1000000 * 10000000;
If so, here is the problem.
literal 1000000 is in fact an int instead of long, and therefore, 1000000 * 10000000 is doing a int multiplication and it got overflow (max of int is something around 2,xxx,xxx,xxx). The "overflowed" value is then cast to a long. Which give you the "strange" result.
This question already has answers here:
Why do these two multiplication operations give different results?
(2 answers)
Closed 9 years ago.
Now signed_int max value is 2,147,483,647 i.e. 2^31 and 1 bit is sign bit, so
when I run long a = 2,147,483,647 + 1;
It gives a = -2,147,483,648 as answer.. This hold good.
But, 24*60*60*1000*1000 = 86400000000 (actually)...
In java, 24*60*60*1000*1000 it equals to 500654080..
I understand that it is because of overflow in integer, but what processing made this value come, What logic was used to get that number by Java. I also refered here.
Multiplication is executed from left to right like this
int x = 24 * 60;
x = x * 60;
x = x * 1000;
x = x * 1000;
first 3 operations produce 86400000 which still fits into Integer.MAX_VALUE. But the last operation produces 86400000000 which is 0x141dd76000 in hex. Bytes above 4 are truncated and we get 0x1dd76000. If we print it
System.out.println(0x1dd76000);
the result will be
500654080
This is quite subtle: when writing long a = 2147483647 + 1, the right hand side is computed first using ints since you have supplied int literals. But that will clock round to a negative (due to overflow) before being converted to a long. So the promotion from int to long is too late for you.
To circumvent this behaviour, you need to promote at least one of the arguments to a long literal by suffixing an L.
This applies to all arithmetic operations using literals (i.e. also your multiplication): you need to promote one of them to a long type.
The fact that your multiplication answer is 500654080 can be seen by looking at
long n = 24L*60*60*1000*1000;
long m = n % 4294967296L; /* % is extracting the int part so m is 500654080
n.b. 4294967296L is 2^32 (using OP notation, not XOR). */
What's happening here is that you are going 'round and round the clock' with the int type. Yes, you are losing the carry bits but that doesn't matter with multiplication.
As the range of int is -2,147,483,648 to 2,147,483,647.
So, when you keep on adding numbers and its exceed the maximum limit it start gain from the left most number i.e. -2,147,483,648, as it works as a cycle. That you had already mentioned in your question.
Similarly when you are computing 24*60*60*1000*1000 which should result 86400000000 as per Maths.
But actually what happens is somehow as follows:
86400000000 can be written as 2147483647+2147483647+2147483647+2147483647+..36 times+500654080
So, after adding 2147483647 for 40 times results 0 and then 500654080 is left which ultimately results in 500654080.
I hope its clear to you.
Add L in your multiplicatoin. If you add L than it multiply you in Long range otherwise in Integer range which overflow. Try to multiply like this.
24L*60*60*1000*1000
This give you a right answer.
An Integer is 32 bit long. Lets take for example a number that is 4 bit long for the sake of simplicity.
It's max positive value would be:
0111 = 7 (first bit is for sign; 0 means positive, 1 means negative)
0000 = 0
It's min negative value would be:
1111 = -8 (first bit is for sign)
1000 = -1
Now, if we call this type fbit, fbit_max is equal to 7.
fbit_max + 1 = -8
because bitwise 0111 + 1 = 1111
Therefore, the span of fbit_min to fbit_max is 16. From -8 to 7.
If you would multiply something like 7*10 and store it in fbit, the result would be:
fbit number = 7 * 10 (actually 70)
fbit number = 7 (to get to from zero to max) + 16 (min to max) + 16 (min to max) + 16 (min to max) + 15 (the rest)
fbit number = 6
24*60*60*1000*1000 = 86400000000
Using MOD as follows: 86400000000 % 2147483648 = 500654080