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# Java.lang.Math Class in Java | Set 1

• Difficulty Level : Medium
• Last Updated : 02 Aug, 2021

Math Class methods helps to perform the numeric operations like square, square root, cube, cube root, exponential and trigonometric operations

Declaration :

```public final class Math
extends Object```

What is NaN argument?
A constant holding a Not-a-Number (NaN) value of type double. It is equivalent to the value returned by Double.longBitsToDouble(0x7ff8000000000000L).

Methods of lang.math class :

1. abs() : java.lang.Math.abs() method returns the absolute value of any type of argument passed. This method can handle all the data types.

• Result is positive zero, if the argument is positive zero or negative zero.
• Result is positive infinity if the argument is infinite.
• Result is NaN, if passed argument is NaN.

Syntax:

```public static datatype abs(datatype arg)
Parameters:
arg - the argument whose absolute value we need
Returns:
absolute value of the passed argument.```

2. acos() : java.lang.Math.acos() method returns the arc cosine value of the passed argument.
arc cosine is inverse cosine of the argument passed.
acos(arg) = cos-1 of arg

Special Case: Result is NaN, if the argument is NaN or its absolute value is greater than 1.
Syntax:

```public static double acos(double a)
Parameters:
a - the argument whose arc cosine value we need.
Returns:
arc cosine value of the argument.```

Note: Math class usually takes radians as an input which is very much different in real life applications since angles is usually represented in degrees.

Syntax:

```public static double toRadians(double deg)
Parameters:
deg - degree angle needs to be in radian.
Returns:
radians equivalent of the degree-argument passed.```

Java code explaining abs(), acos(), toRadians() method in lang.Math class.

## Java

 `// Java program explaining lang.Math class methods``// abs(), acos(), toRadians()` `import` `java.lang.*;``public` `class` `NewClass``{``    ``public` `static` `void` `main(String[] args)``    ``{``        ``// Declaring the variables``        ``int` `Vali = -``1``;``        ``float` `Valf = .5f;` `        ``// Printing the values``        ``System.out.println(``"Initial value of int  : "``+Vali);``        ``System.out.println(``"Initial value of int  : "``+Valf);`  `        ``// Use of .abs() method to get the absoluteValue``        ``int` `Absi = Math.abs(Vali);``        ``float` `Absf = Math.abs(Valf);` `        ``System.out.println(``"Absolute value of int : "``+Absi);``        ``System.out.println(``"Absolute value of int : "``+Absf);``        ``System.out.println(``""``);` `        ``// Use of acos() method``        ``// Value greater than 1, so passing NaN``        ``double` `Acosi = Math.acos(``60``);``        ``System.out.println(``"acos value of Acosi : "``+Acosi);``        ``double` `x = Math.PI;` `        ``// Use of toRadian() method``        ``x = Math.toRadians(x);``        ``double` `Acosj = Math.acos(x);``        ``System.out.println(``"acos value of Acosj : "``+Acosj);``        ` `    ``}``}`

Output :

```Initial value of int  : -1
Initial value of int  : 0.5
Absolute value of int : 1
Absolute value of int : 0.5

acos value of Acosi : NaN
acos value of Acosj : 1.5159376794536454```

4. asin() : java.lang.Math.asin() method returns the arc sine value of the method argument passed. Returned angle is in the range -pi/2 to pi/2.
arc sine is inverse sine of the argument passed.
asin(arg) = sine-1 of arg

Special Case :

• Result is NaN,if the argument is NaN or its absolute value is greater than 1.
• Result is a zero, if the argument is zero.

Syntax:

```public static double asin(double arg)
Parameters:
arg - argument passed.
Returns:
arc sine of the argument passed.```

5. cbrt() : java.lang.Math.cbrt() method returns the cube root of the passed argument.
Special Point :

• Result is NaN, if the argument is NaN.
• Result is an infinity with the same sign as the argument, if the argument is infinite.
• Result is a zero, if the argument is zero.

Syntax:

```public static double cbrt(double arg)
Parameters:
arg - argument passed.
Returns:
cube root of the argument passed```

Java code explaining asin(), cbrt() method in lang.Math class.

## Java

 `// Java program explaining lang.Math class methods``// asin(), cbrt()` `import` `java.lang.*;``public` `class` `NewClass``{` `    ``public` `static` `void` `main(String[] args)``    ``{``        ``int` `a = ``1``, b = ``8``;``        ``int` `radd = a+b;` `        ``// Use of asin() method``        ``// Value greater than 1, so passing NaN``        ``double` `Asini = Math.asin(radd);``        ``System.out.println(``"asin value of Asini : "` `+ Asini);``        ``double` `x = Math.PI;` `        ``// Use of toRadian() method``        ``x = Math.toRadians(x);``        ``double` `Asinj = Math.asin(x);``        ``System.out.println(``"asin value of Asinj : "` `+ Asinj);``        ``System.out.println(``""``);` `        ``// Use of cbrt() method``        ``double` `cbrtval = Math.cbrt(``216``);``        ``System.out.println(``"cube root : "` `+ cbrtval);` `    ``}``}`

Output :

```asin value of Asini : NaN
asin value of Asinj : 0.054858647341251204

cube root : 6.0```

6. floor() : java.lang.Math.floor() method returns the floor value of an argument i.e. the closest integer value which is either less or equal to the passed argument.
eg : 101.23 has floor value = 101

Important point : Same argument is resulted if if passed an NaN or infinite argument.

```Syntax:
public static double floor(double arg)
Parameters:
arg - the argument whose floor value we need
Returns:closest possible value that is either less than
or equal to the argument passed```

7. hypot() : java.lang.Math.hypot(double p, double b) method returns hypotenuse of a right triangle on passing the triangle’s base and perpendicular as arguments.
hypotenuse = [perpendicular2 + base2]1/2

Important Point :

• If either argument is infinite, then the result is positive infinity.
• If either argument is NaN and neither argument is infinite, then the result is NaN.
```Syntax:
public static double hypot(double p, double b)
Parameters:
p - perpendicular of the right triangle
b - base of the right triangle
Returns:
hypotenuse of the right triangle```

8. IEEEremainder() : java.lang.Math.IEEERemainder(double d1, double d2) method returns the remainder value by applying remainder operation on two arguments w.r.t IEEE 754 standard.
Remainder value = d1 – d2 * n
where,
n = closest exact value of d1/d2

```Syntax:
public static double IEEEremainder(double d1,double d2)
Parameters:
d1 - dividend
d2 - divisor
Returns:
remainder when f1(dividend) is divided by(divisor)```

9. log() : java.lang.Math.log() method returns the logarithmic value of the passed argument.

```Syntax:
public static double log(double arg)
Parameters:
arg - argument passed.
Returns:
logarithmic value of the argument passed.```

Java code explaining floor(), hypot(), IEEEremainder(), log() method in lang.Math class.

## Java

 `// Java program explaining lang.MATH class methods``// floor(), hypot(), IEEEremainder(), log()` `import` `java.lang.*;``public` `class` `NewClass``{` `    ``public` `static` `void` `main(String[] args)``    ``{``        ``// Use of floor method``        ``double` `f1 = ``30.56``, f2 = -``56.34``;``        ``f1 =Math.floor(f1);``        ``System.out.println(``"Floor value of f1 : "``+f1);` `        ``f2 =Math.floor(f2);``        ``System.out.println(``"Floor value of f2 : "``+f2);``        ``System.out.println(``""``);` `        ``// Use of hypot() method``        ``double` `p = ``12``, b = -``5``;``        ``double` `h = Math.hypot(p, b);``        ``System.out.println(``"Hypotenuse : "``+h);``        ``System.out.println(``""``);` `        ``// Use of IEEEremainder() method``        ``double` `d1 = ``105``, d2 = ``2``;``        ``double` `r = Math.IEEEremainder(d1,d2);``        ``System.out.println(``"Remainder : "``+r);``        ``System.out.println(``""``);``        ` `        ``// Use of log() method``        ``double` `l = ``10``;``        ``l = Math.log(l);``        ``System.out.println(``"Log value of 10 : "``+l);``        ` `    ``}``}`

Output :

```Floor value of f1 : 30.0
Floor value of f2 : -57.0

Hypotenuse : 13.0

Remainder : 1.0

Log value of 10 : 2.302585092994046```

10. ceil() : java.lang.Math.ceil(double a) method returns the smallest possible value which is either greater or equal to the argument passed. The returned value is a mathematical integer.

• Result is same, if the returned value is already a mathematical integer.
• Result is same, if the passed argument is NaN or infinite or zero.
• Result is negative zero, if the passed argument is less than zero but greater than -1.0

Syntax:

```public static double ceil(double arg)
Parameters:
arg - the argument value
Returns:
smallest possible value(mathematical integer)
which is either greater or equal to the argument passed```

11. atan() : java.lang.Math.atan() method returns returns the arc tangent of the method argument value. The returned angle is in the range -pi/2 through pi/2.
arc tan is inverse tan of the argument passed.
atan(arg) = tan inverse of arg

Special Case :

• Result is NaN, if the passed argument is NaN or its absolute value is > 1.
• Result is zero, if argument is zero.

Syntax:

```public static double atan(double a)
Parameters:
a - the argument whose arc tangent value we need.
Returns:
arc tan value of the argument.```

12. copySign() : java.lang.Math.copySign() method returns first floating-point argument but having the sign of second argument.

Syntax:

```public static double copySign(double m, double s)
or
public static float copySign(float m, float s)
Parameters:
m - magnitude
s - sign
Returns:
returns first argument with sign of second floating-point argument.```

Java code explaining atan(), ceil(), copySign() method in lang.Math class.

## Java

 `// Java program explaining lang.Math class methods``// atan(), ceil(), copySign()` `import` `java.math.*;``public` `class` `NewClass``{``    ``public` `static` `void` `main(String[] args)``    ``{``        ``// Use of atan() method``        ``double` `Atani = Math.atan(``0``);``        ``System.out.println(``"atan value of Atani : "``+Atani);``        ``double` `x = Math.PI/``2``;` `        ``// Use of toRadian() method``        ``x = Math.toRadians(x);``        ``double` `Atanj = Math.atan(x);``        ``System.out.println(``"atan value of Atanj : "``+Atanj);``        ``System.out.println(``""``);`  `        ``// Use of ceil() method``        ``double` `val = ``15.34` `,ceilval;``        ``ceilval = Math.ceil(val);``        ``System.out.println(``"ceil value of val : "``+ceilval);``        ``System.out.println(``""``);` `        ``double` `dblMag = val;``        ``double` `dblSign1 = ``3``;``        ``double` `dblSign2 = -``3``;`  `        ``// Use of copySign() method``        ``double` `result1 = Math.copySign(dblMag,dblSign1);``        ``System.out.println(``"copySign1 : "``+result1);` `        ``double` `result2 = Math.copySign(dblMag,dblSign2);``        ``System.out.println(``"copySign2 : "``+result2);``        ` `    ``}``}`

Output :

```atan value of Atani : 0.0
atan value of Atanj : 0.0274087022410345

ceil value of val : 16.0

copySign1 : 15.34
copySign2 : -15.34```

Next Article: Java.lang.math | Set 2

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