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# <!-- rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb -->
# Provides mathematical functions.
#
# Example:
#
# require "bigdecimal/math"
#
# include BigMath
#
# a = BigDecimal((PI(100)/2).to_s)
# puts sin(a,100) # => 0.99999999999999999999......e0
#
module BigMath
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - E(numeric) -> BigDecimal
# -->
# Computes e (the base of natural logarithms) to the specified number of digits
# of precision, `numeric`.
#
# BigMath.E(10).to_s
# #=> "0.271828182845904523536028752390026306410273e1"
#
def self?.E: (Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - PI(numeric) -> BigDecimal
# -->
# Computes the value of pi to the specified number of digits of precision,
# `numeric`.
#
# BigMath.PI(10).to_s
# #=> "0.3141592653589793238462643388813853786957412e1"
#
def self?.PI: (Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - atan(decimal, numeric) -> BigDecimal
# -->
# Computes the arctangent of `decimal` to the specified number of digits of
# precision, `numeric`.
#
# If `decimal` is NaN, returns NaN.
#
# BigMath.atan(BigDecimal('-1'), 16).to_s
# #=> "-0.785398163397448309615660845819878471907514682065e0"
#
def self?.atan: (BigDecimal x, Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - cos(decimal, numeric) -> BigDecimal
# -->
# Computes the cosine of `decimal` to the specified number of digits of
# precision, `numeric`.
#
# If `decimal` is Infinity or NaN, returns NaN.
#
# BigMath.cos(BigMath.PI(4), 16).to_s
# #=> "-0.999999999999999999999999999999856613163740061349e0"
#
def self?.cos: (BigDecimal x, Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/bigdecimal.c
# - BigMath.exp(decimal, numeric) -> BigDecimal
# -->
# Computes the value of e (the base of natural logarithms) raised to the power
# of `decimal`, to the specified number of digits of precision.
#
# If `decimal` is infinity, returns Infinity.
#
# If `decimal` is NaN, returns NaN.
#
def self?.exp: (BigDecimal, Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/bigdecimal.c
# - BigMath.log(decimal, numeric) -> BigDecimal
# -->
# Computes the natural logarithm of `decimal` to the specified number of digits
# of precision, `numeric`.
#
# If `decimal` is zero or negative, raises Math::DomainError.
#
# If `decimal` is positive infinity, returns Infinity.
#
# If `decimal` is NaN, returns NaN.
#
def self?.log: (BigDecimal, Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - sin(decimal, numeric) -> BigDecimal
# -->
# Computes the sine of `decimal` to the specified number of digits of precision,
# `numeric`.
#
# If `decimal` is Infinity or NaN, returns NaN.
#
# BigMath.sin(BigMath.PI(5)/4, 5).to_s
# #=> "0.70710678118654752440082036563292800375e0"
#
def self?.sin: (BigDecimal x, Numeric prec) -> BigDecimal
# <!--
# rdoc-file=ext/bigdecimal/lib/bigdecimal/math.rb
# - sqrt(decimal, numeric) -> BigDecimal
# -->
# Computes the square root of `decimal` to the specified number of digits of
# precision, `numeric`.
#
# BigMath.sqrt(BigDecimal('2'), 16).to_s
# #=> "0.1414213562373095048801688724e1"
#
def self?.sqrt: (BigDecimal x, Numeric prec) -> BigDecimal
end
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