Ruby | Math Module

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

Name	Description
E	Define the value of base of natural logarithm e.
PI	Define the value of π.

Example:

Ruby

# 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)

1. Example:

Ruby

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

# checking its range
puts Math.acos(0) == Math::PI/2

1. Output:

1.5707963267948966
true

1. acosh : This method calculate the inverse hyperbolic cosine of given value a. The return type of this method is float.

Math.acosh(a)

1. 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)

1. asinh : This method calculate the inverse hyperbolic sine of given value a. The return type of this method is float.

Math.asinh(a)

1. Example:

Ruby

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

1. Output:

1.4436354751788103

1. 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)

1. atanh : This method calculate the inverse hyperbolic tangent of given value a. The return type of this method is float.

Math.atanh(a)

1. Example:

Ruby

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

1. Output:

0.5493061443340548

1. 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)

1. 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)

1. Example:

Ruby

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

1. Output:

0.5403023058681398

1. 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)

1. erf : This method returns the error function of given value a. The return type of this method is float.

Math.erf(a)

1. erfc : This method returns the complementary error function of given value a. The return type of this method is float.

Math.erfc(a)

1. exp : This method returns the value of e_a. The return type of this method is float.

Math.exp(a)

1. Example:

Ruby

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

1. Output:

7.38905609893065

1. frexp : This method returns a two-element array that consisting the normalized fraction and exponent of numeric.

Math.frexp(numeric)

1. 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)

1. Example:

Ruby

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

Output:

6.4031242374328485

1. Idexp : This method returns the value of float * 2 _integer. The return type of this method is float.

Math.Idexp(float, integer)

1. log : This method returns the natural logarithm of numeric. The return type of this method is float.

Math.log(numeric)

1. log10 : This method return the base 10 of the logarithm of numeric. The return type of this method is float.

Math.log10(numeric)

1. 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)

1. Example:

Ruby

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

1. Output:

0.0

1. sinh : This method calculate the hyperbolic sine of numeric and expressed in radians. The return type of this method is float.

Math.sinh(numeric)

1. 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)

1. tan : This method return the tangent of numeric and expressed in radians. The return type of this method is float.

Math.tan(numeric)

1. tanh : This method calculate the hyperbolic tangent of numeric and expressed in radians. The return type of this method is float.

Math.tanh(numeric)

1. Example:

Ruby

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

1. Output:

0.7615941559557649

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