Frac

java.lang.Object
- org.cell2d.Frac

```
public final class Frac
extends java.lang.Object
```
The Frac class contains constants and methods related to fracunits, Cell2D's units of "continuous" length and time. Typically, one fracunit of length corresponds to one pixel on the screen, and one fracunit of time corresponds to one frame. Fracunits are units of the primitive type long, and one fracunit is equal to 2 to the power of 32, or 4294967296. In other words, fracunit arithmetic is fixed-point number arithmetic in which numbers have 32 bits after the decimal point. Fracunit-scale numbers may be correctly added and subtracted with the + and - operators, and they may be correctly multiplied and divided by non-fracunit-scale numbers with the * and / operators. However, other operations, such as multiplying two fracunit-scale numbers, require the use of dedicated methods in the Frac class.

Field Summary

Fields
Modifier and Type	Field and Description
`static int`	`BITS` 32, the number of bits by which an integer must be shifted left to be converted to fracunit scale, and by which a number in fracunit scale must be shifted right to be rounded down and converted to an integer.
`static long`	`UNIT` One fracunit, equal to 2 to the power of BITS, or 4294967296.

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static long`	`ceil(long a)` Returns the smallest fracunit-scale integer that is greater than or equal to the specified fracunit-scale number.
`static long`	`div(long a, long b)` Returns the first specified fracunit-scale number divided by the second.
`static long`	`floor(long a)` Returns the largest fracunit-scale integer that is less than or equal to the specified fracunit-scale number.
`static int`	`intCeil(long a)` Returns the smallest integer that is greater than or equal to the specified fracunit-scale number.
`static int`	`intFloor(long a)` Returns the largest integer that is less than or equal to the specified fracunit-scale number.
`static int`	`intRound(long a)` Returns the equivalent of the specified fracunit-scale number, rounded to the nearest fracunit, as an `int`.
`static long`	`mul(long a, long b)` Returns the product of the two specified fracunit-scale numbers.
`static long`	`round(long a)` Returns the specified number rounded to the nearest fracunit.
`static long`	`sqrt(long a)` Returns the square root of the specified fracunit-scale number.
`static double`	`toDouble(long a)` Returns the equivalent of the specified fracunit-scale number as a `double`.
`static long`	`units(double a)` Returns the equivalent of the specified `double` in fracunit scale.

Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Field Detail
  - BITS
```
public static final int BITS
```
    32, the number of bits by which an integer must be shifted left to be converted to fracunit scale, and by which a number in fracunit scale must be shifted right to be rounded down and converted to an integer.
    
    See Also:
    
    Constant Field Values
  - UNIT
```
public static final long UNIT
```
    One fracunit, equal to 2 to the power of BITS, or 4294967296.
    
    See Also:
    
    Constant Field Values
- Method Detail
  - units
```
public static long units(double a)
```
    Returns the equivalent of the specified double in fracunit scale.
    
    Parameters:
    
    a - The double to be converted to fracunit scale
    
    Returns:
    
    The equivalent of the specified double in fracunit scale
  - toDouble
```
public static double toDouble(long a)
```
    Returns the equivalent of the specified fracunit-scale number as a double.
    
    Parameters:
    
    a - The fracunit-scale number to be converted to a double
    
    Returns:
    
    The equivalent of the specified fracunit-scale number as a double
  - mul
```
public static long mul(long a,
                       long b)
```
    Returns the product of the two specified fracunit-scale numbers.
    
    Parameters:
    
    a - The first number
    
    b - The second number
    
    Returns:
    
    The product of the two numbers
  - div
```
public static long div(long a,
                       long b)
```
    Returns the first specified fracunit-scale number divided by the second.
    
    Parameters:
    
    a - The first number
    
    b - The second number
    
    Returns:
    
    The first number divided by the second
  - sqrt
```
public static long sqrt(long a)
```
    Returns the square root of the specified fracunit-scale number.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The number's square root
  - round
```
public static long round(long a)
```
    Returns the specified number rounded to the nearest fracunit.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The number rounded to the nearest fracunit
  - intRound
```
public static int intRound(long a)
```
    Returns the equivalent of the specified fracunit-scale number, rounded to the nearest fracunit, as an int.
    
    Parameters:
    
    a - The fracunit-scale number to be rounded and converted to an int
    
    Returns:
    
    The equivalent of the specified fracunit-scale number, rounded to the nearest fracunit, as an int
  - ceil
```
public static long ceil(long a)
```
    Returns the smallest fracunit-scale integer that is greater than or equal to the specified fracunit-scale number.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The smallest fracunit-scale integer that is greater than or equal to the number
  - intCeil
```
public static int intCeil(long a)
```
    Returns the smallest integer that is greater than or equal to the specified fracunit-scale number.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The smallest integer that is greater than or equal to the number
  - floor
```
public static long floor(long a)
```
    Returns the largest fracunit-scale integer that is less than or equal to the specified fracunit-scale number.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The largest fracunit-scale integer that is less than or equal to the number
  - intFloor
```
public static int intFloor(long a)
```
    Returns the largest integer that is less than or equal to the specified fracunit-scale number.
    
    Parameters:
    
    a - The number
    
    Returns:
    
    The largest integer that is less than or equal to the number

Class Frac

Field Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

BITS

UNIT

Method Detail

units

toDouble

mul

div

sqrt

round

intRound

ceil

intCeil

floor

intFloor