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Ruby | Math Module

  • Last Updated : 26 Oct, 2018

In Ruby, Modules are defined as a collection of methods, classes, and constants together. Math module consists of the module methods for basic trigonometric and transcendental functions.

Module Constants

NameDescription
EDefine the value of base of natural logrithum e.
PIDefine the value of π.

Example:




# Ruby code to illustrate the 
# Math Module constants
puts Math::E
  
puts Math::PI

Output:

2.718281828459045
3.141592653589793

Module Methods

  1. acos : This method calculate the arc cosine of given value a. It return in the range[0..PI]. The return type of this method is float.
    Math.acos(a)

    Example:




    # Ruby code to illustrate the 
    # acos method
    puts Math.acos(0)
      
    # checking its range
    puts Math.acos(0) == Math::PI/2

    Output:



    1.5707963267948966
    true
    
  2. acosh : This method calculate the inverse hyperbolic cosine of given value a. The return type of this method is float.
    Math.acosh(a)
  3. asin : This method calculate the arc sine of given value a. It return in the range[-PI/2..PI/2]. The return type of this method is float.
    Math.asin(a)
  4. asinh : This method calculate the inverse hyperbolic sine of given value a. The return type of this method is float.
    Math.asinh(a)

    Example:




    # Ruby code to illustrate the 
    # asinh method
    puts Math.asinh(2)

    Output:

    1.4436354751788103
    
  5. atan : This method calculate the arc of tangent of given of given value a. It returns in the range[-PI..PI]. The return type of this method is the float.
    Math.atan(a)
  6. atanh : This method calculate the inverse hyperbolic tangent of given value a. The return type of this method is float.
    Math.atanh(a)

    Example:




    # Ruby code to illustrate the 
    # atanh method
    puts Math.atanh(0.5)

    Output:

    0.5493061443340548
    
  7. atan2 : This method calculate the arc of tangent of given value a and b. It returns in the range[-PI..PI]. The return type of this method is float.
    Math.atan2(a, b)
  8. cos : This method calculate the cosine of given value a, expressed in radians and return in the range[-1.0..1.0]. The return type of this method is float.
    Math.cos(a)

    Example:




    # Ruby code to illustrate the 
    # cos method
    puts Math.cos(1)

    Output:

    0.5403023058681398
    
  9. cosh : This method calculate the hyperbolic cosine of given value a and expressed in radians. The return type of this method is float.
    Math.cosh(a)
  10. erf : This method returns the error function of given value a. The return type of this method is float.
    Math.erf(a)
  11. erfc : This method returns the complementary error function of given value a. The return type of this method is float.
    Math.erfc(a)
  12. exp : This method returns the value of ea. The return type of this method is float.
    Math.exp(a)

    Example:




    # Ruby code to illustrate the 
    # exp method
    puts Math.exp(2)

    Output:



    7.38905609893065
    
  13. frexp : This method returns a two-element array that consisting the normalized fraction and exponent of numeric.
    Math.frexp(numeric)
  14. hypot :This method returns a2+b2. Or in other words it returns the hypotenuse of right-angle triangle with sides a and b. The return type of this method is float.
    Math.hypot(a, b)

    Example:




    # Ruby code to illustrate the 
    # hypot method
    puts Math.hypot(4,5)

    Output:

    6.4031242374328485
    
  15. Idexp : This method returns the value of float * 2 integer. The return type of this method is float.
    Math.Idexp(float, integer)
  16. log : This method returns the natural logarithm of numeric. The return type of this method is float.
    Math.log(numeric)
  17. log10 : This method return the base 10 of the logarithm of numeric. The return type of this method is float.
    Math.log10(numeric)
  18. sin : This method calculate the sine of numeric and expressed in radians. It return in the range[-1.0..1.0 ]. The return type of this method is float.
    Math.sin(numeric)

    Example:




    # Ruby code to illustrate the 
    # sin method
    puts Math.sin(0)

    Output:

    0.0
    
  19. sinh : This method calculate the hyperbolic sine of numeric and expressed in radians. The return type of this method is float.
    Math.sinh(numeric)
  20. sqrt : This method return the non-negative square root of numeric and raise ArgError if numeric is less than zero. The return type of this method is float.
    Math.sqrt(numeric)
  21. tan : This method return the tangent of numeric and expressed in radians. The return type of this method is float.
    Math.tan(numeric)
  22. tanh : This method calculate the hyperbolic tangent of numeric and expressed in radians. The return type of this method is float.
    Math.tanh(numeric)

    Example:




    # Ruby code to illustrate the 
    # tanh method
    puts Math.tanh(1)

    Output:

    0.7615941559557649
    

Reference: https://ruby-doc.org/core-2.2.0/Math.html




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