module Math

Extended Modules

Defined in:

Constant Summary

E = LibM.exp_f64(1.0)
LOG10 = LibM.log_f64(10.0)
LOG2 = LibM.log_f64(2.0)
PI = 3.14159265358979323846

Instance Method Summary

Instance Method Detail

def acos(value : Float32) #

Calculates the acos of value.


def acos(value : Float64) #

Calculates the acos of value.


def acos(value) #

Calculates the acos of value.


def acosh(value : Float32) #

Calculates the acosh of value.


def acosh(value : Float64) #

Calculates the acosh of value.


def acosh(value) #

Calculates the acosh of value.


def asin(value : Float32) #

Calculates the asin of value.


def asin(value : Float64) #

Calculates the asin of value.


def asin(value) #

Calculates the asin of value.


def asinh(value : Float32) #

Calculates the asinh of value.


def asinh(value : Float64) #

Calculates the asinh of value.


def asinh(value) #

Calculates the asinh of value.


def atan(value) #

Calculates the atan of value.


def atan(value : Float64) #

Calculates the atan of value.


def atan(value : Float32) #

Calculates the atan of value.


def atan2(value1 : Float32, value2 : Float32) #

Calculates atan2 with parameters value1 and value2.


def atan2(value1 : Float64, value2 : Float64) #

Calculates atan2 with parameters value1 and value2.


def atan2(value1, value2) #

Calculates atan2 with parameters value1 and value2.


def atanh(value : Float32) #

Calculates the atanh of value.


def atanh(value : Float64) #

Calculates the atanh of value.


def atanh(value) #

Calculates the atanh of value.


def besselj(value1 : Int32, value2 : Float64) #

Calculates besselj with parameters value1 and value2.


def besselj(value1 : Int32, value2 : Float32) #

Calculates besselj with parameters value1 and value2.


def besselj(value1, value2) #

Calculates besselj with parameters value1 and value2.


def besselj0(value) #

Calculates the besselj0 function of value.


def besselj0(value : Float64) #

Calculates the besselj0 function of value.


def besselj0(value : Float32) #

Calculates the besselj0 function of value.


def besselj1(value) #

Calculates the besselj1 function of value.


def besselj1(value : Float64) #

Calculates the besselj1 function of value.


def besselj1(value : Float32) #

Calculates the besselj1 function of value.


def bessely(value1 : Int32, value2 : Float32) #

Calculates bessely with parameters value1 and value2.


def bessely(value1 : Int32, value2 : Float64) #

Calculates bessely with parameters value1 and value2.


def bessely(value1, value2) #

Calculates bessely with parameters value1 and value2.


def bessely0(value : Float64) #

Calculates the bessely0 function of value.


def bessely0(value) #

Calculates the bessely0 function of value.


def bessely0(value : Float32) #

Calculates the bessely0 function of value.


def bessely1(value) #

Calculates the bessely1 function of value.


def bessely1(value : Float64) #

Calculates the bessely1 function of value.


def bessely1(value : Float32) #

Calculates the bessely1 function of value.


def cbrt(value) #

Calculates the cbrt of value.


def cbrt(value : Float64) #

Calculates the cbrt of value.


def cbrt(value : Float32) #

Calculates the cbrt of value.


def copysign(value1, value2) #

Calculates copysign with parameters value1 and value2.


def copysign(value1 : Float64, value2 : Float64) #

Calculates copysign with parameters value1 and value2.


def copysign(value1 : Float32, value2 : Float32) #

Calculates copysign with parameters value1 and value2.


def cos(value : Float64) #

Calculates the cos of value.


def cos(value : Float32) #

Calculates the cos of value.


def cos(value) #

Calculates the cos of value.


def cosh(value : Float32) #

Calculates the cosh of value.


def cosh(value : Float64) #

Calculates the cosh of value.


def cosh(value) #

Calculates the cosh of value.


def erf(value : Float32) #

Calculates the erf of value.


def erf(value : Float64) #

Calculates the erf of value.


def erf(value) #

Calculates the erf of value.


def erfc(value : Float32) #

Calculates the erfc of value.


def erfc(value : Float64) #

Calculates the erfc of value.


def erfc(value) #

Calculates the erfc of value.


def exp(value : Float32) #

Calculates the exp of value.


def exp(value : Float64) #

Calculates the exp of value.


def exp(value) #

Calculates the exp of value.


def exp2(value : Float64) #

Calculates the exp2 of value.


def exp2(value) #

Calculates the exp2 of value.


def exp2(value : Float32) #

Calculates the exp2 of value.


def expm1(value : Float32) #

Calculates the expm1 of value.


def expm1(value : Float64) #

Calculates the expm1 of value.


def expm1(value) #

Calculates the expm1 of value.


def frexp(value) #

Decomposes given floating point value into a normalized fraction and an integral power of two.


def frexp(value : BigFloat) #

def frexp(value : Float64) #

Decomposes given floating point value into a normalized fraction and an integral power of two.


def frexp(value : Float32) #

Decomposes given floating point value into a normalized fraction and an integral power of two.


def gamma(value : Float64) #

Calculates the gamma function of value.

Note that #gamma(n) is same as fact(n - 1) for integer n > 0. However #gamma(n) returns float and can be an approximation.


def gamma(value) #

Calculates the gamma function of value.

Note that #gamma(n) is same as fact(n - 1) for integer n > 0. However #gamma(n) returns float and can be an approximation.


def gamma(value : Float32) #

Calculates the gamma function of value.

Note that #gamma(n) is same as fact(n - 1) for integer n > 0. However #gamma(n) returns float and can be an approximation.


def hypot(value1 : Float32, value2 : Float32) #

Calculates hypot with parameters value1 and value2.


def hypot(value1 : Float64, value2 : Float64) #

Calculates hypot with parameters value1 and value2.


def hypot(value1, value2) #

Calculates hypot with parameters value1 and value2.


def ilogb(value : Float32) #

Calculates the ilogb of value.


def ilogb(value : Float64) #

Calculates the ilogb of value.


def ilogb(value) #

Calculates the ilogb of value.


def ldexp(value1 : Float32, value2 : Int32) #

Calculates ldexp with parameters value1 and value2.


def ldexp(value1 : Float64, value2 : Int32) #

Calculates ldexp with parameters value1 and value2.


def ldexp(value1, value2) #

Calculates ldexp with parameters value1 and value2.


def lgamma(value) #

Calculates the logarithmic gamma of value.

Math.lgamma(2.96)

is the same as

Math.log(Math.gamma(2.96).abs)

def lgamma(value : Float64) #

Calculates the logarithmic gamma of value.

Math.lgamma(2.96)

is the same as

Math.log(Math.gamma(2.96).abs)

def lgamma(value : Float32) #

Calculates the logarithmic gamma of value.

Math.lgamma(2.96)

is the same as

Math.log(Math.gamma(2.96).abs)

def log(numeric, base) #

Returns the logarithm of numeric to the base base.


def log(value : Float64) #

Calculates the log of value.


def log(value) #

Calculates the log of value.


def log(value : Float32) #

Calculates the log of value.


def log10(value : Float32) #

Calculates the log10 of value.


def log10(value) #

Calculates the log10 of value.


def log10(value : Float64) #

Calculates the log10 of value.


def log1p(value) #

Calculates the log1p of value.


def log1p(value : Float64) #

Calculates the log1p of value.


def log1p(value : Float32) #

Calculates the log1p of value.


def log2(value) #

Calculates the log2 of value.


def log2(value : Float64) #

Calculates the log2 of value.


def log2(value : Float32) #

Calculates the log2 of value.


def logb(value) #

Calculates the logb of value.


def logb(value : Float64) #

Calculates the logb of value.


def logb(value : Float32) #

Calculates the logb of value.


def max(value1 : Float64, value2 : Float64) #

def max(value1, value2) #

Returns the greater of value1 and value2.


def max(value1 : Float32, value2 : Float32) #

def min(value1 : Float32, value2 : Float32) #

def min(value1 : Float64, value2 : Float64) #

def min(value1, value2) #

Returns the smaller of value1 and value2.


def pw2ceil(v) #

Computes the next highest power of 2 of v.

Math.pw2ceil(33) # => 64

def scalbln(value, exp) #

Multiplies value by 2 raised to power exp.


def scalbln(value : Float64, exp : Int64) #

Multiplies value by 2 raised to power exp.


def scalbln(value : Float32, exp : Int64) #

Multiplies value by 2 raised to power exp.


def scalbn(value1, value2) #

Calculates scalbn with parameters value1 and value2.


def scalbn(value1 : Float64, value2 : Int32) #

Calculates scalbn with parameters value1 and value2.


def scalbn(value1 : Float32, value2 : Int32) #

Calculates scalbn with parameters value1 and value2.


def sin(value : Float32) #

Calculates the sin of value.


def sin(value : Float64) #

Calculates the sin of value.


def sin(value) #

Calculates the sin of value.


def sinh(value : Float32) #

Calculates the sinh of value.


def sinh(value : Float64) #

Calculates the sinh of value.


def sinh(value) #

Calculates the sinh of value.


def sqrt(value : Float32) #

Calculates the sqrt of value.


def sqrt(value : Float64) #

Calculates the sqrt of value.


def sqrt(value : BigInt) #

Returns the sqrt of a BigInt.

require "big"
Math.sqrt((1000_000_000_0000.to_big_i*1000_000_000_00000.to_big_i))

def sqrt(value : BigFloat) #

Returns the sqrt of a BigFloat.

require "big"
Math.sqrt((1000_000_000_0000.to_big_f*1000_000_000_00000.to_big_f))

def sqrt(value : BigRational) #

Returns the sqrt of a BigRational.

require "big"
Math.sqrt((1000_000_000_0000.to_big_r*1000_000_000_00000.to_big_r))

def sqrt(value) #

Calculates the sqrt of value.


def tan(value : Float32) #

Calculates the tan of value.


def tan(value : Float64) #

Calculates the tan of value.


def tan(value) #

Calculates the tan of value.


def tanh(value : Float32) #

Calculates the tanh of value.


def tanh(value : Float64) #

Calculates the tanh of value.


def tanh(value) #

Calculates the tanh of value.