module Math

Extended Modules

Defined in:

math/math.cr
big/big_float.cr

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.


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def acos(value : Float64) #

Calculates the acos of value.


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def acos(value) #

Calculates the acos of value.


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def acosh(value : Float32) #

Calculates the acosh of value.


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def acosh(value : Float64) #

Calculates the acosh of value.


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def acosh(value) #

Calculates the acosh of value.


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def asin(value : Float32) #

Calculates the asin of value.


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def asin(value : Float64) #

Calculates the asin of value.


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def asin(value) #

Calculates the asin of value.


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def asinh(value) #

Calculates the asinh of value.


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def asinh(value : Float64) #

Calculates the asinh of value.


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def asinh(value : Float32) #

Calculates the asinh of value.


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def atan(value : Float32) #

Calculates the atan of value.


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def atan(value : Float64) #

Calculates the atan of value.


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def atan(value) #

Calculates the atan of value.


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def atan2(value1, value2) #

Calculates atan2 with parameters value1 and value2.


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

Calculates atan2 with parameters value1 and value2.


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

Calculates atan2 with parameters value1 and value2.


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def atanh(value) #

Calculates the atanh of value.


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def atanh(value : Float64) #

Calculates the atanh of value.


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def atanh(value : Float32) #

Calculates the atanh of value.


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

Calculates besselj with parameters value1 and value2.


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

Calculates besselj with parameters value1 and value2.


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def besselj(value1, value2) #

Calculates besselj with parameters value1 and value2.


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def besselj0(value) #

Calculates the besselj0 function of value.


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def besselj0(value : Float64) #

Calculates the besselj0 function of value.


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def besselj0(value : Float32) #

Calculates the besselj0 function of value.


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def besselj1(value : Float64) #

Calculates the besselj1 function of value.


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def besselj1(value : Float32) #

Calculates the besselj1 function of value.


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def besselj1(value) #

Calculates the besselj1 function of value.


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

Calculates bessely with parameters value1 and value2.


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def bessely(value1, value2) #

Calculates bessely with parameters value1 and value2.


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

Calculates bessely with parameters value1 and value2.


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def bessely0(value) #

Calculates the bessely0 function of value.


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def bessely0(value : Float32) #

Calculates the bessely0 function of value.


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def bessely0(value : Float64) #

Calculates the bessely0 function of value.


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def bessely1(value : Float32) #

Calculates the bessely1 function of value.


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def bessely1(value : Float64) #

Calculates the bessely1 function of value.


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def bessely1(value) #

Calculates the bessely1 function of value.


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def cbrt(value : Float32) #

Calculates the cbrt of value.


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def cbrt(value : Float64) #

Calculates the cbrt of value.


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def cbrt(value) #

Calculates the cbrt of value.


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

Calculates copysign with parameters value1 and value2.


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

Calculates copysign with parameters value1 and value2.


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def copysign(value1, value2) #

Calculates copysign with parameters value1 and value2.


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def cos(value) #

Calculates the cos of value.


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def cos(value : Float64) #

Calculates the cos of value.


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def cos(value : Float32) #

Calculates the cos of value.


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def cosh(value) #

Calculates the cosh of value.


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def cosh(value : Float64) #

Calculates the cosh of value.


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def cosh(value : Float32) #

Calculates the cosh of value.


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def erf(value) #

Calculates the erf of value.


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def erf(value : Float32) #

Calculates the erf of value.


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def erf(value : Float64) #

Calculates the erf of value.


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def erfc(value : Float32) #

Calculates the erfc of value.


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def erfc(value : Float64) #

Calculates the erfc of value.


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def erfc(value) #

Calculates the erfc of value.


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def exp(value) #

Calculates the exp of value.


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def exp(value : Float64) #

Calculates the exp of value.


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def exp(value : Float32) #

Calculates the exp of value.


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def exp2(value) #

Calculates the exp2 of value.


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def exp2(value : Float64) #

Calculates the exp2 of value.


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def exp2(value : Float32) #

Calculates the exp2 of value.


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def expm1(value) #

Calculates the expm1 of value.


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def expm1(value : Float64) #

Calculates the expm1 of value.


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def expm1(value : Float32) #

Calculates the expm1 of value.


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def frexp(value : Float64) #

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


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def frexp(value : BigFloat) #

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def frexp(value) #

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


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def frexp(value : Float32) #

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


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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.


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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.


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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.


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

Calculates hypot with parameters value1 and value2.


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def hypot(value1, value2) #

Calculates hypot with parameters value1 and value2.


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

Calculates hypot with parameters value1 and value2.


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def ilogb(value : Float32) #

Calculates the ilogb of value.


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def ilogb(value : Float64) #

Calculates the ilogb of value.


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def ilogb(value) #

Calculates the ilogb of value.


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

Calculates ldexp with parameters value1 and value2.


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

Calculates ldexp with parameters value1 and value2.


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def ldexp(value1, value2) #

Calculates ldexp with parameters value1 and value2.


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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)

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def lgamma(value) #

Calculates the logarithmic gamma of value.

Math.lgamma(2.96)

is the same as

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

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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)

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def log(value) #

Calculates the log of value.


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def log(value : Float64) #

Calculates the log of value.


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def log(numeric, base) #

Returns the logarithm of numeric to the base base.


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def log(value : Float32) #

Calculates the log of value.


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def log10(value) #

Calculates the log10 of value.


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def log10(value : Float64) #

Calculates the log10 of value.


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def log10(value : Float32) #

Calculates the log10 of value.


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def log1p(value) #

Calculates the log1p of value.


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def log1p(value : Float64) #

Calculates the log1p of value.


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def log1p(value : Float32) #

Calculates the log1p of value.


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def log2(value) #

Calculates the log2 of value.


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def log2(value : Float64) #

Calculates the log2 of value.


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def log2(value : Float32) #

Calculates the log2 of value.


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def logb(value) #

Calculates the logb of value.


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def logb(value : Float64) #

Calculates the logb of value.


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def logb(value : Float32) #

Calculates the logb of value.


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

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

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def max(value1, value2) #

Returns the greater of value1 and value2.


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

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def min(value1, value2) #

Returns the smaller of value1 and value2.


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

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def pw2ceil(v) #

Computes the next highest power of 2 of v.

Math.pw2ceil(33) # => 64

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def scalbln(value, exp) #

Multiplies value by 2 raised to power exp.


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

Multiplies value by 2 raised to power exp.


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

Multiplies value by 2 raised to power exp.


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

Calculates scalbn with parameters value1 and value2.


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def scalbn(value1, value2) #

Calculates scalbn with parameters value1 and value2.


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

Calculates scalbn with parameters value1 and value2.


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def sin(value : Float32) #

Calculates the sin of value.


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def sin(value : Float64) #

Calculates the sin of value.


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def sin(value) #

Calculates the sin of value.


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def sinh(value : Float32) #

Calculates the sinh of value.


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def sinh(value : Float64) #

Calculates the sinh of value.


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def sinh(value) #

Calculates the sinh of value.


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def sqrt(value : Float32) #

Calculates the sqrt of value.


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def sqrt(value : Float64) #

Calculates the sqrt of value.


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def sqrt(value) #

Calculates the sqrt of value.


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def tan(value : Float32) #

Calculates the tan of value.


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def tan(value : Float64) #

Calculates the tan of value.


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def tan(value) #

Calculates the tan of value.


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def tanh(value : Float32) #

Calculates the tanh of value.


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def tanh(value : Float64) #

Calculates the tanh of value.


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def tanh(value) #

Calculates the tanh of value.


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