module Math
Extended Modules
Defined in:
math/math.crbig/big_int.cr
big/big_float.cr
big/big_rational.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
-
#acos(value : Float32)
Calculates the acos of value.
-
#acos(value : Float64)
Calculates the acos of value.
-
#acos(value)
Calculates the acos of value.
-
#acosh(value : Float32)
Calculates the acosh of value.
-
#acosh(value : Float64)
Calculates the acosh of value.
-
#acosh(value)
Calculates the acosh of value.
-
#asin(value : Float32)
Calculates the asin of value.
-
#asin(value : Float64)
Calculates the asin of value.
-
#asin(value)
Calculates the asin of value.
-
#asinh(value : Float32)
Calculates the asinh of value.
-
#asinh(value : Float64)
Calculates the asinh of value.
-
#asinh(value)
Calculates the asinh of value.
-
#atan(value)
Calculates the atan of value.
-
#atan(value : Float64)
Calculates the atan of value.
-
#atan(value : Float32)
Calculates the atan of value.
-
#atan2(value1 : Float32, value2 : Float32)
Calculates atan2 with parameters value1 and value2.
-
#atan2(value1 : Float64, value2 : Float64)
Calculates atan2 with parameters value1 and value2.
-
#atan2(value1, value2)
Calculates atan2 with parameters value1 and value2.
-
#atanh(value : Float32)
Calculates the atanh of value.
-
#atanh(value : Float64)
Calculates the atanh of value.
-
#atanh(value)
Calculates the atanh of value.
-
#besselj(value1 : Int32, value2 : Float64)
Calculates besselj with parameters value1 and value2.
-
#besselj(value1 : Int32, value2 : Float32)
Calculates besselj with parameters value1 and value2.
-
#besselj(value1, value2)
Calculates besselj with parameters value1 and value2.
-
#besselj0(value)
Calculates the besselj0 function of value.
-
#besselj0(value : Float64)
Calculates the besselj0 function of value.
-
#besselj0(value : Float32)
Calculates the besselj0 function of value.
-
#besselj1(value)
Calculates the besselj1 function of value.
-
#besselj1(value : Float64)
Calculates the besselj1 function of value.
-
#besselj1(value : Float32)
Calculates the besselj1 function of value.
-
#bessely(value1 : Int32, value2 : Float32)
Calculates bessely with parameters value1 and value2.
-
#bessely(value1 : Int32, value2 : Float64)
Calculates bessely with parameters value1 and value2.
-
#bessely(value1, value2)
Calculates bessely with parameters value1 and value2.
-
#bessely0(value : Float64)
Calculates the bessely0 function of value.
-
#bessely0(value)
Calculates the bessely0 function of value.
-
#bessely0(value : Float32)
Calculates the bessely0 function of value.
-
#bessely1(value)
Calculates the bessely1 function of value.
-
#bessely1(value : Float64)
Calculates the bessely1 function of value.
-
#bessely1(value : Float32)
Calculates the bessely1 function of value.
-
#cbrt(value)
Calculates the cbrt of value.
-
#cbrt(value : Float64)
Calculates the cbrt of value.
-
#cbrt(value : Float32)
Calculates the cbrt of value.
-
#copysign(value1, value2)
Calculates copysign with parameters value1 and value2.
-
#copysign(value1 : Float64, value2 : Float64)
Calculates copysign with parameters value1 and value2.
-
#copysign(value1 : Float32, value2 : Float32)
Calculates copysign with parameters value1 and value2.
-
#cos(value : Float64)
Calculates the cos of value.
-
#cos(value : Float32)
Calculates the cos of value.
-
#cos(value)
Calculates the cos of value.
-
#cosh(value : Float32)
Calculates the cosh of value.
-
#cosh(value : Float64)
Calculates the cosh of value.
-
#cosh(value)
Calculates the cosh of value.
-
#erf(value : Float32)
Calculates the erf of value.
-
#erf(value : Float64)
Calculates the erf of value.
-
#erf(value)
Calculates the erf of value.
-
#erfc(value : Float32)
Calculates the erfc of value.
-
#erfc(value : Float64)
Calculates the erfc of value.
-
#erfc(value)
Calculates the erfc of value.
-
#exp(value : Float32)
Calculates the exp of value.
-
#exp(value : Float64)
Calculates the exp of value.
-
#exp(value)
Calculates the exp of value.
-
#exp2(value : Float64)
Calculates the exp2 of value.
-
#exp2(value)
Calculates the exp2 of value.
-
#exp2(value : Float32)
Calculates the exp2 of value.
-
#expm1(value : Float32)
Calculates the expm1 of value.
-
#expm1(value : Float64)
Calculates the expm1 of value.
-
#expm1(value)
Calculates the expm1 of value.
-
#frexp(value)
Decomposes given floating point value into a normalized fraction and an integral power of two.
- #frexp(value : BigFloat)
-
#frexp(value : Float64)
Decomposes given floating point value into a normalized fraction and an integral power of two.
-
#frexp(value : Float32)
Decomposes given floating point value into a normalized fraction and an integral power of two.
-
#gamma(value : Float64)
Calculates the gamma function of value.
-
#gamma(value)
Calculates the gamma function of value.
-
#gamma(value : Float32)
Calculates the gamma function of value.
-
#hypot(value1 : Float32, value2 : Float32)
Calculates hypot with parameters value1 and value2.
-
#hypot(value1 : Float64, value2 : Float64)
Calculates hypot with parameters value1 and value2.
-
#hypot(value1, value2)
Calculates hypot with parameters value1 and value2.
-
#ilogb(value : Float32)
Calculates the ilogb of value.
-
#ilogb(value : Float64)
Calculates the ilogb of value.
-
#ilogb(value)
Calculates the ilogb of value.
-
#ldexp(value1 : Float32, value2 : Int32)
Calculates ldexp with parameters value1 and value2.
-
#ldexp(value1 : Float64, value2 : Int32)
Calculates ldexp with parameters value1 and value2.
-
#ldexp(value1, value2)
Calculates ldexp with parameters value1 and value2.
-
#lgamma(value)
Calculates the logarithmic gamma of value.
-
#lgamma(value : Float64)
Calculates the logarithmic gamma of value.
-
#lgamma(value : Float32)
Calculates the logarithmic gamma of value.
-
#log(numeric, base)
Returns the logarithm of numeric to the base base.
-
#log(value : Float64)
Calculates the log of value.
-
#log(value)
Calculates the log of value.
-
#log(value : Float32)
Calculates the log of value.
-
#log10(value : Float32)
Calculates the log10 of value.
-
#log10(value)
Calculates the log10 of value.
-
#log10(value : Float64)
Calculates the log10 of value.
-
#log1p(value)
Calculates the log1p of value.
-
#log1p(value : Float64)
Calculates the log1p of value.
-
#log1p(value : Float32)
Calculates the log1p of value.
-
#log2(value)
Calculates the log2 of value.
-
#log2(value : Float64)
Calculates the log2 of value.
-
#log2(value : Float32)
Calculates the log2 of value.
-
#logb(value)
Calculates the logb of value.
-
#logb(value : Float64)
Calculates the logb of value.
-
#logb(value : Float32)
Calculates the logb of value.
- #max(value1 : Float64, value2 : Float64)
-
#max(value1, value2)
Returns the greater of value1 and value2.
- #max(value1 : Float32, value2 : Float32)
- #min(value1 : Float32, value2 : Float32)
- #min(value1 : Float64, value2 : Float64)
-
#min(value1, value2)
Returns the smaller of value1 and value2.
-
#pw2ceil(v)
Computes the next highest power of 2 of v.
-
#scalbln(value, exp)
Multiplies value by 2 raised to power exp.
-
#scalbln(value : Float64, exp : Int64)
Multiplies value by 2 raised to power exp.
-
#scalbln(value : Float32, exp : Int64)
Multiplies value by 2 raised to power exp.
-
#scalbn(value1, value2)
Calculates scalbn with parameters value1 and value2.
-
#scalbn(value1 : Float64, value2 : Int32)
Calculates scalbn with parameters value1 and value2.
-
#scalbn(value1 : Float32, value2 : Int32)
Calculates scalbn with parameters value1 and value2.
-
#sin(value : Float32)
Calculates the sin of value.
-
#sin(value : Float64)
Calculates the sin of value.
-
#sin(value)
Calculates the sin of value.
-
#sinh(value : Float32)
Calculates the sinh of value.
-
#sinh(value : Float64)
Calculates the sinh of value.
-
#sinh(value)
Calculates the sinh of value.
-
#sqrt(value : Float32)
Calculates the sqrt of value.
-
#sqrt(value : Float64)
Calculates the sqrt of value.
- #sqrt(value : BigInt)
- #sqrt(value : BigFloat)
- #sqrt(value : BigRational)
-
#sqrt(value)
Calculates the sqrt of value.
-
#tan(value : Float32)
Calculates the tan of value.
-
#tan(value : Float64)
Calculates the tan of value.
-
#tan(value)
Calculates the tan of value.
-
#tanh(value : Float32)
Calculates the tanh of value.
-
#tanh(value : Float64)
Calculates the tanh of value.
-
#tanh(value)
Calculates the tanh of value.
Instance Method Detail
Calculates atan2 with parameters value1 and value2.
Calculates atan2 with parameters value1 and value2.
Calculates besselj with parameters value1 and value2.
Calculates besselj with parameters value1 and value2.
Calculates bessely with parameters value1 and value2.
Calculates bessely with parameters value1 and value2.
Calculates copysign with parameters value1 and value2.
Calculates copysign with parameters value1 and value2.
Decomposes given floating point value into a normalized fraction and an integral power of two.
Decomposes given floating point value into a normalized fraction and an integral power of two.
Decomposes given floating point value into a normalized fraction and an integral power of two.
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.
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.
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.
Calculates hypot with parameters value1 and value2.
Calculates hypot with parameters value1 and value2.
Calculates ldexp with parameters value1 and value2.
Calculates ldexp with parameters value1 and value2.
Calculates the logarithmic gamma of value.
Math.lgamma(2.96)
is the same as
Math.log(Math.gamma(2.96).abs)
Calculates the logarithmic gamma of value.
Math.lgamma(2.96)
is the same as
Math.log(Math.gamma(2.96).abs)
Calculates the logarithmic gamma of value.
Math.lgamma(2.96)
is the same as
Math.log(Math.gamma(2.96).abs)
Multiplies value by 2 raised to power exp.
Multiplies value by 2 raised to power exp.
Calculates scalbn with parameters value1 and value2.
Calculates scalbn with parameters value1 and value2.