MathUtilsd

java.lang.Object
- jhplot.math.MathUtilsd

```
public final class MathUtilsd
extends Object
```
Utility and fast math functions.
Thanks to Riven on JavaGaming.org for the basis of sin/cos/atan2/floor/ceil. Typical accurracy is E-05, but it can be changed.

Field Summary

Fields
Modifier and Type	Field and Description
`static double`	`degRad`
`static double`	`degreesToRadians` multiply by this to convert from degrees to radians
`static double`	`E`
`static double`	`FLOAT_ROUNDING_ERROR`
`static double`	`nanoToSec`
`static double`	`PI`
`static double`	`PI2`
`static double`	`radDeg`
`static double`	`radiansToDegrees` multiply by this to convert from radians to degrees

Constructor Summary

Constructors
Constructor and Description

MathUtilsd()

Constructors
Constructor and Description
`MathUtilsd()`

Method Summary

All Methods Static Methods Concrete Methods
Modifier and Type	Method and Description
`static double`	`acos_v1(double x)` Arc cos approximation
`static double`	`acos_v2(double x)`
`static double`	`acos(double x)` Returns the arc cosine in radians from a lookup table.
`static double`	`asin_core(double x)`
`static double`	`atan2(double y, double x)` Returns atan2 in radians from a lookup table.
`static int`	`ceil(double x)` Returns the smallest integer greater than or equal to the specified double.
`static int`	`ceilPositive(double x)` Returns the smallest integer greater than or equal to the specified double.
`static double`	`clamp(double value, double min, double max)`
`static float`	`clamp(float value, float min, float max)`
`static int`	`clamp(int value, int min, int max)`
`static short`	`clamp(short value, short min, short max)`
`static double`	`cos_core(double x)`
`static double`	`cos(double radians)` Returns the cosine in radians from a lookup table.
`static double`	`cosDeg(double degrees)` Returns the cosine in radians from a lookup table.
`static int`	`floor(double x)` Returns the largest integer less than or equal to the specified double.
`static int`	`floorPositive(double x)` Returns the largest integer less than or equal to the specified double.
`static void`	`initialize()`
`static boolean`	`isEqual(double a, double b)` Returns true if a is nearly equal to b.
`static boolean`	`isEqual(double a, double b, double tolerance)` Returns true if a is nearly equal to b.
`static boolean`	`isPowerOfTwo(int value)`
`static boolean`	`isZero(double value)` Returns true if the value is zero (using the default tolerance as upper bound)
`static boolean`	`isZero(double value, double tolerance)` Returns true if the value is zero.
`static double`	`lint(double x, double x0, double x1, double y0, double y1)` Lineal interpolation.
`static float`	`lint(float x, float x0, float x1, float y0, float y1)` Lineal interpolation.
`static int`	`nextPowerOfTwo(int value)` Returns the next power of two.
`static double`	`rint_v2(double x)`
`static int`	`round(double x)` Returns the closest integer to the specified double.
`static int`	`roundPositive(double x)` Returns the closest integer to the specified double.
`static double`	`sin_core(double x)`
`static double`	`sin_v2(double x)`
`static double`	`sin(double radians)` Returns the sine in radians from a lookup table.
`static double`	`sinDeg(double degrees)` Returns the sine in radians from a lookup table.
`static double`	`sqrt(double value)` Fast sqrt method.

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

- Field Detail
  - nanoToSec
```
public static final double nanoToSec
```
    See Also:
    
    Constant Field Values
  - FLOAT_ROUNDING_ERROR
```
public static final double FLOAT_ROUNDING_ERROR
```
    See Also:
    
    Constant Field Values
  - PI
```
public static final double PI
```
    See Also:
    
    Constant Field Values
  - PI2
```
public static final double PI2
```
    See Also:
    
    Constant Field Values
  - E
```
public static final double E
```
    See Also:
    
    Constant Field Values
  - radiansToDegrees
```
public static final double radiansToDegrees
```
    multiply by this to convert from radians to degrees
    
    See Also:
    
    Constant Field Values
  - radDeg
```
public static final double radDeg
```
    See Also:
    
    Constant Field Values
  - degreesToRadians
```
public static final double degreesToRadians
```
    multiply by this to convert from degrees to radians
    
    See Also:
    
    Constant Field Values
  - degRad
```
public static final double degRad
```
    See Also:
    
    Constant Field Values
- Constructor Detail
  - MathUtilsd
```
public MathUtilsd()
```
- Method Detail
  - initialize
```
public static void initialize()
```
  - sin
```
public static final double sin(double radians)
```
    Returns the sine in radians from a lookup table.
  - cos
```
public static final double cos(double radians)
```
    Returns the cosine in radians from a lookup table.
  - acos
```
public static final double acos(double x)
```
    Returns the arc cosine in radians from a lookup table.
  - acos_v1
```
public static final double acos_v1(double x)
```
    Arc cos approximation
    
    Returns:
  - sinDeg
```
public static final double sinDeg(double degrees)
```
    Returns the sine in radians from a lookup table.
  - cosDeg
```
public static final double cosDeg(double degrees)
```
    Returns the cosine in radians from a lookup table.
  - atan2
```
public static final double atan2(double y,
                                 double x)
```
    Returns atan2 in radians from a lookup table.
  - nextPowerOfTwo
```
public static int nextPowerOfTwo(int value)
```
    Returns the next power of two. Returns the specified value if the value is already a power of two.
  - isPowerOfTwo
```
public static boolean isPowerOfTwo(int value)
```
  - clamp
```
public static int clamp(int value,
                        int min,
                        int max)
```
  - clamp
```
public static short clamp(short value,
                          short min,
                          short max)
```
  - clamp
```
public static float clamp(float value,
                          float min,
                          float max)
```
  - clamp
```
public static double clamp(double value,
                           double min,
                           double max)
```
  - floor
```
public static int floor(double x)
```
    Returns the largest integer less than or equal to the specified double. This method will only properly floor doubles from -(2^14) to (Float.MAX_VALUE - 2^14).
  - floorPositive
```
public static int floorPositive(double x)
```
    Returns the largest integer less than or equal to the specified double. This method will only properly floor doubles that are positive. Note this method simply casts the double to int.
  - ceil
```
public static int ceil(double x)
```
    Returns the smallest integer greater than or equal to the specified double. This method will only properly ceil doubles from -(2^14) to (Float.MAX_VALUE - 2^14).
  - ceilPositive
```
public static int ceilPositive(double x)
```
    Returns the smallest integer greater than or equal to the specified double. This method will only properly ceil doubles that are positive.
  - round
```
public static int round(double x)
```
    Returns the closest integer to the specified double. This method will only properly round doubles from -(2^14) to (Float.MAX_VALUE - 2^14).
  - roundPositive
```
public static int roundPositive(double x)
```
    Returns the closest integer to the specified double. This method will only properly round doubles that are positive.
  - isZero
```
public static boolean isZero(double value)
```
    Returns true if the value is zero (using the default tolerance as upper bound)
  - isZero
```
public static boolean isZero(double value,
                             double tolerance)
```
    Returns true if the value is zero.
    
    Parameters:
    
    tolerance - represent an upper bound below which the value is considered zero.
  - isEqual
```
public static boolean isEqual(double a,
                              double b)
```
    Returns true if a is nearly equal to b. The function uses the default doubleing error tolerance.
    
    Parameters:
    
    a - the first value.
    
    b - the second value.
  - isEqual
```
public static boolean isEqual(double a,
                              double b,
                              double tolerance)
```
    Returns true if a is nearly equal to b.
    
    Parameters:
    
    a - the first value.
    
    b - the second value.
    
    tolerance - represent an upper bound below which the two values are considered equal.
  - sqrt
```
public static double sqrt(double value)
```
    Fast sqrt method. Default passes it through one round of Newton's method.
    
    Parameters:
    
    value -
    
    Returns:
  - rint_v2
```
public static double rint_v2(double x)
```
  - cos_core
```
public static double cos_core(double x)
```
  - sin_core
```
public static double sin_core(double x)
```
  - asin_core
```
public static double asin_core(double x)
```
  - sin_v2
```
public static double sin_v2(double x)
```
  - acos_v2
```
public static double acos_v2(double x)
```
  - lint
```
public static double lint(double x,
                          double x0,
                          double x1,
                          double y0,
                          double y1)
```
    Lineal interpolation.
    
    Parameters:
    
    x - The value to interpolate.
    
    x0 - Inferior limit to the independent value.
    
    x1 - Superior limit to the independent value.
    
    y0 - Inferior limit to the dependent value.
    
    y1 - Superior limit to the dependent value.
    
    Returns:
  - lint
```
public static float lint(float x,
                         float x0,
                         float x1,
                         float y0,
                         float y1)
```
    Lineal interpolation.
    
    Parameters:
    
    x - The value to interpolate.
    
    x0 - Inferior limit to the independent value.
    
    x1 - Superior limit to the independent value.
    
    y0 - Inferior limit to the dependent value.
    
    y1 - Superior limit to the dependent value.
    
    Returns:

Class MathUtilsd

Field Summary

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Field Detail

nanoToSec

FLOAT_ROUNDING_ERROR

PI

PI2

E

radiansToDegrees

radDeg

degreesToRadians

degRad

Constructor Detail

MathUtilsd

Method Detail

initialize

sin

cos

acos

acos_v1

sinDeg

cosDeg

atan2

nextPowerOfTwo

isPowerOfTwo

clamp

clamp

clamp

clamp

floor

floorPositive

ceil

ceilPositive

round

roundPositive

isZero

isZero

isEqual

isEqual

sqrt

rint_v2

cos_core

sin_core

asin_core

sin_v2

acos_v2

lint

lint