public final class XMath
extends java.lang.Object
Modifier and Type | Field and Description |
---|---|
static double |
E
The
double value that is closer than any other to
e, the base of the natural logarithms. |
static double |
PI
The
double value that is closer than any other to
pi, the ratio of the circumference of a circle to its
diameter. |
Modifier and Type | Method and Description |
---|---|
static double |
abs(double a)
Returns the absolute value of a
double value. |
static float |
abs(float a)
Returns the absolute value of a
float value. |
static int |
abs(int a)
Returns the absolute value of an
int value. |
static long |
abs(long a)
Returns the absolute value of a
long value. |
static double |
acos(double a)
Returns the arc cosine of a value; the returned angle is in the range 0.0 through pi.
|
static double |
asin(double a)
Returns the arc sine of a value; the returned angle is in the range -pi/2 through
pi/2.
|
static double |
atan(double a)
Returns the arc tangent of a value; the returned angle is in the range -pi/2 through
pi/2.
|
static double |
ceil(double a)
Returns the smallest (closest to negative infinity)
double value that is greater than or equal to the
argument and is equal to a mathematical integer. |
static double |
cos(double a)
Returns the trigonometric cosine of an angle.
|
static double |
exp(double a)
Returns Euler's number e raised to the power of a double value.
|
static double |
floor(double a)
Returns the largest (closest to positive infinity)
double value that is less than or equal to the
argument and is equal to a mathematical integer. |
static double |
limit(double value,
double min,
double max)
Limits a value between two others:
If
value is lower than min , returns min .
If value is greater than max , returns max .
Otherwise, returns value .
|
static float |
limit(float value,
float min,
float max)
Limits a value between two others:
If
value is lower than min , returns min .
If value is greater than max , returns max .
Otherwise, returns value .
|
static int |
limit(int value,
int min,
int max)
Limits a value between two others:
If
value is lower than min , returns min .
If value is greater than max , returns max .
Otherwise, returns value .
|
static long |
limit(long value,
long min,
long max)
Limits a value between two others:
If
value is lower than min , returns min .
If value is greater than max , returns max .
Otherwise, returns value .
|
static double |
log(double a)
Returns the natural logarithm (base e) of a double value.
|
static double |
max(double a,
double b)
Returns the greater of two
double values. |
static float |
max(float a,
float b)
Returns the greater of two
float values. |
static int |
max(int a,
int b)
Returns the greater of two
int values. |
static long |
max(long a,
long b)
Returns the greater of two
long values. |
static double |
min(double a,
double b)
Returns the smaller of two
double values. |
static float |
min(float a,
float b)
Returns the smaller of two
float values. |
static int |
min(int a,
int b)
Returns the smaller of two
int values. |
static long |
min(long a,
long b)
Returns the smaller of two
long values. |
static double |
pow(double a,
double b)
Returns the value of the first argument raised to the power of the
second argument.
|
static double |
sin(double a)
Returns the trigonometric sine of an angle.
|
static double |
sqrt(double a)
Returns the correctly rounded positive square root of a
double value. |
static double |
tan(double a)
Returns the trigonometric tangent of an angle.
|
static double |
toDegrees(double angrad)
Converts an angle measured in radians to an approximately
equivalent angle measured in degrees.
|
static double |
toRadians(double angdeg)
Converts an angle measured in degrees to an approximately
equivalent angle measured in radians.
|
public static final double E
double
value that is closer than any other to
e, the base of the natural logarithms.public static final double PI
double
value that is closer than any other to
pi, the ratio of the circumference of a circle to its
diameter.public static double abs(double a)
double
value.
If the argument is not negative, the argument is returned.
If the argument is negative, the negation of the argument is returned.
Special cases:
Double.longBitsToDouble((Double.doubleToLongBits(a)<<1)>>>1)
a
- the argument whose absolute value is to be determinedpublic static float abs(float a)
float
value.
If the argument is not negative, the argument is returned.
If the argument is negative, the negation of the argument is returned.
Special cases:
Float.intBitsToFloat(0x7fffffff & Float.floatToIntBits(a))
a
- the argument whose absolute value is to be determinedpublic static int abs(int a)
int
value.
If the argument is not negative, the argument is returned.
If the argument is negative, the negation of the argument is returned.
Note that if the argument is equal to the value of
Integer.MIN_VALUE
, the most negative representable
int
value, the result is that same value, which is
negative.
a
- the argument whose absolute value is to be determinedInteger.MIN_VALUE
public static long abs(long a)
long
value.
If the argument is not negative, the argument is returned.
If the argument is negative, the negation of the argument is returned.
Note that if the argument is equal to the value of
Long.MIN_VALUE
, the most negative representable
long
value, the result is that same value, which
is negative.
a
- the argument whose absolute value is to be determinedLong.MIN_VALUE
public static double ceil(double a)
double
value that is greater than or equal to the
argument and is equal to a mathematical integer. Special cases:
Math.ceil(x)
is exactly the
value of -Math.floor(-x)
.a
- a value.public static double cos(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- an angle, in radians.public static double floor(double a)
double
value that is less than or equal to the
argument and is equal to a mathematical integer. Special cases:
a
- a value.public static double max(double a, double b)
double
values. That
is, the result is the argument closer to positive infinity. If
the arguments have the same value, the result is that same
value. If either value is NaN, then the result is NaN. Unlike
the numerical comparison operators, this method considers
negative zero to be strictly smaller than positive zero. If one
argument is positive zero and the other negative zero, the
result is positive zero.a
- an argument.b
- another argument.a
and b
.public static float max(float a, float b)
float
values. That is,
the result is the argument closer to positive infinity. If the
arguments have the same value, the result is that same
value. If either value is NaN, then the result is NaN. Unlike
the numerical comparison operators, this method considers
negative zero to be strictly smaller than positive zero. If one
argument is positive zero and the other negative zero, the
result is positive zero.a
- an argument.b
- another argument.a
and b
.public static long max(long a, long b)
long
values. That is, the
result is the argument closer to the value of
Long.MAX_VALUE
. If the arguments have the same value,
the result is that same value.a
- an argument.b
- another argument.a
and b
.Long.MAX_VALUE
public static int max(int a, int b)
int
values. That is, the
result is the argument closer to the value of
Integer.MAX_VALUE
. If the arguments have the same value,
the result is that same value.a
- an argument.b
- another argument.a
and b
.Long.MAX_VALUE
public static double min(double a, double b)
double
values. That
is, the result is the value closer to negative infinity. If the
arguments have the same value, the result is that same
value. If either value is NaN, then the result is NaN. Unlike
the numerical comparison operators, this method considers
negative zero to be strictly smaller than positive zero. If one
argument is positive zero and the other is negative zero, the
result is negative zero.a
- an argument.b
- another argument.a
and b
.public static float min(float a, float b)
float
values. That is,
the result is the value closer to negative infinity. If the
arguments have the same value, the result is that same
value. If either value is NaN, then the result is NaN. Unlike
the numerical comparison operators, this method considers
negative zero to be strictly smaller than positive zero. If
one argument is positive zero and the other is negative zero,
the result is negative zero.a
- an argument.b
- another argument.a
and b.
public static int min(int a, int b)
int
values. That is,
the result the argument closer to the value of
Integer.MIN_VALUE
. If the arguments have the same
value, the result is that same value.a
- an argument.b
- another argument.a
and b
.Long.MIN_VALUE
public static long min(long a, long b)
long
values. That is,
the result is the argument closer to the value of
Long.MIN_VALUE
. If the arguments have the same
value, the result is that same value.a
- an argument.b
- another argument.a
and b
.Long.MIN_VALUE
public static double sin(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- an angle, in radians.public static double sqrt(double a)
double
value.
Special cases:
double
value closest to
the true mathematical square root of the argument value.a
- a value.a
.
If the argument is NaN or less than zero, the result is NaN.public static double tan(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- an angle, in radians.public static double toDegrees(double angrad)
cos(toRadians(90.0))
to exactly
equal 0.0
.angrad
- an angle, in radiansangrad
in degrees.public static double toRadians(double angdeg)
angdeg
- an angle, in degreesangdeg
in radians.public static double asin(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- the value whose arc sine is to be returned.public static double acos(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- the value whose arc cosine is to be returned.public static double atan(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- the value whose arc tangent is to be returned.public static double log(double a)
The computed result must be within 1 ulp of the exact result. Results must be semi-monotonic.
a
- the value whose the natural logarithm is to be returnedpublic static double exp(double a)
a
- the exponent to raise e to.public static double pow(double a, double b)
(In the foregoing descriptions, a floating-point value is
considered to be an integer if and only if it is finite and a
fixed point of the method ceil
or,
equivalently, a fixed point of the method floor
. A value is a fixed point of a one-argument
method if and only if the result of applying the method to the
value is equal to the value.)
The computed result must be within 1 ulp of the exact result.
Results must be semi-monotonic.
a
- the base.b
- the exponent.public static int limit(int value, int min, int max)
value
is lower than min
, returns min
.value
is greater than max
, returns max
.value
.value
- the value to limitmin
- the lower boundmax
- the upper boundjava.lang.IllegalArgumentException
- if min
is greater than max
public static float limit(float value, float min, float max)
value
is lower than min
, returns min
.value
is greater than max
, returns max
.value
.value
- the value to limitmin
- the lower boundmax
- the upper boundjava.lang.IllegalArgumentException
- if min
is greater than max
public static long limit(long value, long min, long max)
value
is lower than min
, returns min
.value
is greater than max
, returns max
.value
.value
- the value to limitmin
- the lower boundmax
- the upper boundjava.lang.IllegalArgumentException
- if min
is greater than max
public static double limit(double value, double min, double max)
value
is lower than min
, returns min
.value
is greater than max
, returns max
.value
.value
- the value to limitmin
- the lower boundmax
- the upper boundjava.lang.IllegalArgumentException
- if min
is greater than max