This question already has answers here:
Integer division: How do you produce a double?
(11 answers)
Closed 6 years ago.
I am trying to do simple math. a=5, b=a/2 &(round up), which has to be 5/2 = 3 when I round up , c=b-a, 3-5=2. my question when I divide 5/2 and round up I got 2 instead of 3 for b. can some one help me how I can round up and get 3? Thanks
int a=5;
int b=(int)Math.ceil(a/2);
int c=b-a;
System.out.println(b);
System.out.println(c);
you should use floating-point value of 2 instead of integer in this line:
int b = (int) Math.ceil(a / 2f);//also you can use "2.0" or "2d" instead of "2f"
your version uses int division (which produces int value of 2) and 2f constant forces to use floating-point division and promote a value to float (after it division produces float value of 2.5)
It is possible because of JLS spec for Multiplicative Operators:
Binary numeric promotion is performed on the operands (§5.6.2)
And that is how numeric promotion works for int and float division operands in our case:
Widening primitive conversion (§5.1.2) is applied to convert either or both operands as specified by the following rules:
If either operand is of type double, the other is converted to double.
Otherwise, if either operand is of type float, the other is converted to float.
You can use a little trick to get things faster:
int b =(a + 1) / 2;
Since you are dividing with 2, in case the number is odd with + 1, you'll get exact value for upper rounding. And if number is even with + 1 rounding will give the half of it as expected.
EDIT
Or in general, if you want to calculate Math.ceil(a / b) you can do it with following formula : (a + b - 1) / b, assuming a and b being positive.
Related
I put this into java and I was given the result 2. Was wondering why it isn't an ArithmeticException, as shouldn't (int)(2/0.9) turn into 2/0. All help is appreciated.
Your code is
(int) (2 / 0.9)
So the int-cast is only applied to the result after computing 2 / 0.9. Now 2 / 0.9 divides an int by a double value. In such a case the int will also be interpreted as double (2.0 in this case). The result is thus like
2.0 / 0.9 = 2.22...
This process is known as numeric promotion (it uses widening primitive conversion here JLS§5.1.2). From JLS§5.6:
A numeric promotion is a process by which, given an arithmetic operator and its argument expressions, the arguments are converted to an inferred target type T. T is chosen during promotion such that each argument expression can be converted to T and the arithmetic operation is defined for values of type T.
After that you cast to int which will round the value to the next lower integer, 2 in this case. Thus the result is 2.
What you expected would be the result of an expression like
2 / (int) 0.9
// or more explicit:
2 / ((int) 0.9)
which first casts the 0.9 to an int before dividing. In this case you would correctly get
2 / 0
yielding the expected ArithmeticException.
This question already has answers here:
Int division: Why is the result of 1/3 == 0?
(19 answers)
Closed 4 years ago.
This is a basic question but I can't find an answer. I've looked into floating point arithmetic and a few other topics but nothing has seemed to address this. I'm sure I just have the wrong terminology.
Basically, I want to take two quantities - completed, and total - and divide them to come up with a percentage (of how much has been completed). The quantities are longs. Here's the setup:
long completed = 25000;
long total = 50000;
System.out.println(completed/total); // Prints 0
I've tried reassigning the result to a double - it prints 0.0. Where am I going wrong?
Incidentally, the next step is to multiply this result by 100, which I assume should be easy once this small hurdle is stepped over.
BTW not homework here just plain old numskull-ness (and maybe too much coding today).
Converting the output is too late; the calculation has already taken place in integer arithmetic. You need to convert the inputs to double:
System.out.println((double)completed/(double)total);
Note that you don't actually need to convert both of the inputs. So long as one of them is double, the other will be implicitly converted. But I prefer to do both, for symmetry.
You don't even need doubles for this. Just multiply by 100 first and then divide. Otherwise the result would be less than 1 and get truncated to zero, as you saw.
edit: or if overflow is likely, if it would overflow (ie the dividend is bigger than 922337203685477581), divide the divisor by 100 first.
In Java
Integer/Integer = Integer
Integer/Double = Double//Either of numerator or denominator must be floating point number
1/10 = 0
1.0/10 = 0.1
1/10.0 = 0.1
Just type cast either of them.
Convert both completed and total to double or at least cast them to double when doing the devision. I.e. cast the varaibles to double not just the result.
Fair warning, there is a floating point precision problem when working with float and double.
If you don't explicitly cast one of the two values to a float before doing the division then an integer division will be used (so that's why you get 0). You just need one of the two operands to be a floating point value, so that the normal division is used (and other integer value is automatically turned into a float).
Just try with
float completed = 50000.0f;
and it will be fine.
As explain by the JLS, integer operation are quite simple.
If an integer operator other than a shift operator has at least one operand of type long, then the operation is carried out using 64-bit precision, and the result of the numerical operator is of type long. If the other operand is not long, it is first widened (§5.1.5) to type long by numeric promotion (§5.6).
Otherwise, the operation is carried out using 32-bit precision, and the result of the numerical operator is of type int. If either operand is not an int, it is first widened to type int by numeric promotion.
So to make it short, an operation would always result in a int at the only exception that there is a long value in it.
int = int + int
long = int + long
int = short + short
Note that the priority of the operator is important, so if you have
long = int * int + long
the int * int operation would result in an int, it would be promote into a long during the operation int + long
As your output results a double you should cast either completed variable or total variable or both to double while dividing.
So, the correct implmentation will be:
System.out.println((double)completed/total);
This question already has answers here:
Int division: Why is the result of 1/3 == 0?
(19 answers)
Closed 4 years ago.
This is a basic question but I can't find an answer. I've looked into floating point arithmetic and a few other topics but nothing has seemed to address this. I'm sure I just have the wrong terminology.
Basically, I want to take two quantities - completed, and total - and divide them to come up with a percentage (of how much has been completed). The quantities are longs. Here's the setup:
long completed = 25000;
long total = 50000;
System.out.println(completed/total); // Prints 0
I've tried reassigning the result to a double - it prints 0.0. Where am I going wrong?
Incidentally, the next step is to multiply this result by 100, which I assume should be easy once this small hurdle is stepped over.
BTW not homework here just plain old numskull-ness (and maybe too much coding today).
Converting the output is too late; the calculation has already taken place in integer arithmetic. You need to convert the inputs to double:
System.out.println((double)completed/(double)total);
Note that you don't actually need to convert both of the inputs. So long as one of them is double, the other will be implicitly converted. But I prefer to do both, for symmetry.
You don't even need doubles for this. Just multiply by 100 first and then divide. Otherwise the result would be less than 1 and get truncated to zero, as you saw.
edit: or if overflow is likely, if it would overflow (ie the dividend is bigger than 922337203685477581), divide the divisor by 100 first.
In Java
Integer/Integer = Integer
Integer/Double = Double//Either of numerator or denominator must be floating point number
1/10 = 0
1.0/10 = 0.1
1/10.0 = 0.1
Just type cast either of them.
Convert both completed and total to double or at least cast them to double when doing the devision. I.e. cast the varaibles to double not just the result.
Fair warning, there is a floating point precision problem when working with float and double.
If you don't explicitly cast one of the two values to a float before doing the division then an integer division will be used (so that's why you get 0). You just need one of the two operands to be a floating point value, so that the normal division is used (and other integer value is automatically turned into a float).
Just try with
float completed = 50000.0f;
and it will be fine.
As explain by the JLS, integer operation are quite simple.
If an integer operator other than a shift operator has at least one operand of type long, then the operation is carried out using 64-bit precision, and the result of the numerical operator is of type long. If the other operand is not long, it is first widened (§5.1.5) to type long by numeric promotion (§5.6).
Otherwise, the operation is carried out using 32-bit precision, and the result of the numerical operator is of type int. If either operand is not an int, it is first widened to type int by numeric promotion.
So to make it short, an operation would always result in a int at the only exception that there is a long value in it.
int = int + int
long = int + long
int = short + short
Note that the priority of the operator is important, so if you have
long = int * int + long
the int * int operation would result in an int, it would be promote into a long during the operation int + long
As your output results a double you should cast either completed variable or total variable or both to double while dividing.
So, the correct implmentation will be:
System.out.println((double)completed/total);
This question already has answers here:
Int division: Why is the result of 1/3 == 0?
(19 answers)
Closed 4 years ago.
This is a basic question but I can't find an answer. I've looked into floating point arithmetic and a few other topics but nothing has seemed to address this. I'm sure I just have the wrong terminology.
Basically, I want to take two quantities - completed, and total - and divide them to come up with a percentage (of how much has been completed). The quantities are longs. Here's the setup:
long completed = 25000;
long total = 50000;
System.out.println(completed/total); // Prints 0
I've tried reassigning the result to a double - it prints 0.0. Where am I going wrong?
Incidentally, the next step is to multiply this result by 100, which I assume should be easy once this small hurdle is stepped over.
BTW not homework here just plain old numskull-ness (and maybe too much coding today).
Converting the output is too late; the calculation has already taken place in integer arithmetic. You need to convert the inputs to double:
System.out.println((double)completed/(double)total);
Note that you don't actually need to convert both of the inputs. So long as one of them is double, the other will be implicitly converted. But I prefer to do both, for symmetry.
You don't even need doubles for this. Just multiply by 100 first and then divide. Otherwise the result would be less than 1 and get truncated to zero, as you saw.
edit: or if overflow is likely, if it would overflow (ie the dividend is bigger than 922337203685477581), divide the divisor by 100 first.
In Java
Integer/Integer = Integer
Integer/Double = Double//Either of numerator or denominator must be floating point number
1/10 = 0
1.0/10 = 0.1
1/10.0 = 0.1
Just type cast either of them.
Convert both completed and total to double or at least cast them to double when doing the devision. I.e. cast the varaibles to double not just the result.
Fair warning, there is a floating point precision problem when working with float and double.
If you don't explicitly cast one of the two values to a float before doing the division then an integer division will be used (so that's why you get 0). You just need one of the two operands to be a floating point value, so that the normal division is used (and other integer value is automatically turned into a float).
Just try with
float completed = 50000.0f;
and it will be fine.
As explain by the JLS, integer operation are quite simple.
If an integer operator other than a shift operator has at least one operand of type long, then the operation is carried out using 64-bit precision, and the result of the numerical operator is of type long. If the other operand is not long, it is first widened (§5.1.5) to type long by numeric promotion (§5.6).
Otherwise, the operation is carried out using 32-bit precision, and the result of the numerical operator is of type int. If either operand is not an int, it is first widened to type int by numeric promotion.
So to make it short, an operation would always result in a int at the only exception that there is a long value in it.
int = int + int
long = int + long
int = short + short
Note that the priority of the operator is important, so if you have
long = int * int + long
the int * int operation would result in an int, it would be promote into a long during the operation int + long
As your output results a double you should cast either completed variable or total variable or both to double while dividing.
So, the correct implmentation will be:
System.out.println((double)completed/total);
This question already has answers here:
Int division: Why is the result of 1/3 == 0?
(19 answers)
Closed 4 years ago.
This is a basic question but I can't find an answer. I've looked into floating point arithmetic and a few other topics but nothing has seemed to address this. I'm sure I just have the wrong terminology.
Basically, I want to take two quantities - completed, and total - and divide them to come up with a percentage (of how much has been completed). The quantities are longs. Here's the setup:
long completed = 25000;
long total = 50000;
System.out.println(completed/total); // Prints 0
I've tried reassigning the result to a double - it prints 0.0. Where am I going wrong?
Incidentally, the next step is to multiply this result by 100, which I assume should be easy once this small hurdle is stepped over.
BTW not homework here just plain old numskull-ness (and maybe too much coding today).
Converting the output is too late; the calculation has already taken place in integer arithmetic. You need to convert the inputs to double:
System.out.println((double)completed/(double)total);
Note that you don't actually need to convert both of the inputs. So long as one of them is double, the other will be implicitly converted. But I prefer to do both, for symmetry.
You don't even need doubles for this. Just multiply by 100 first and then divide. Otherwise the result would be less than 1 and get truncated to zero, as you saw.
edit: or if overflow is likely, if it would overflow (ie the dividend is bigger than 922337203685477581), divide the divisor by 100 first.
In Java
Integer/Integer = Integer
Integer/Double = Double//Either of numerator or denominator must be floating point number
1/10 = 0
1.0/10 = 0.1
1/10.0 = 0.1
Just type cast either of them.
Convert both completed and total to double or at least cast them to double when doing the devision. I.e. cast the varaibles to double not just the result.
Fair warning, there is a floating point precision problem when working with float and double.
If you don't explicitly cast one of the two values to a float before doing the division then an integer division will be used (so that's why you get 0). You just need one of the two operands to be a floating point value, so that the normal division is used (and other integer value is automatically turned into a float).
Just try with
float completed = 50000.0f;
and it will be fine.
As explain by the JLS, integer operation are quite simple.
If an integer operator other than a shift operator has at least one operand of type long, then the operation is carried out using 64-bit precision, and the result of the numerical operator is of type long. If the other operand is not long, it is first widened (§5.1.5) to type long by numeric promotion (§5.6).
Otherwise, the operation is carried out using 32-bit precision, and the result of the numerical operator is of type int. If either operand is not an int, it is first widened to type int by numeric promotion.
So to make it short, an operation would always result in a int at the only exception that there is a long value in it.
int = int + int
long = int + long
int = short + short
Note that the priority of the operator is important, so if you have
long = int * int + long
the int * int operation would result in an int, it would be promote into a long during the operation int + long
As your output results a double you should cast either completed variable or total variable or both to double while dividing.
So, the correct implmentation will be:
System.out.println((double)completed/total);