Math

• Constants
• (Double) -> Bool
• (Double) -> Double
• (Double, Double) -> Double
• (Double, Int32) -> Double
• (Double, Double, [Double?]) -> Bool
• Functions for computing remainders

A set of wrappers around the functions from the libm library and the Yandex utilities.

Constants

List of functions

• Math::Pi() -> Double
• Math::E() -> Double
• Math::Eps() -> Double

Examples

SELECT Math::Pi(); -- 3.141592654
SELECT Math::E();  -- 2.718281828
SELECT Math::Eps(); -- 2.220446049250313e-16

(Double) -> Bool

List of functions

• Math::IsInf(Double{Flags:AutoMap}) -> Bool
• Math::IsNaN(Double{Flags:AutoMap}) -> Bool
• Math::IsFinite(Double{Flags:AutoMap}) -> Bool

Examples

SELECT Math::IsNaN(0.0/0.0);    -- true
SELECT Math::IsFinite(1.0/0.0); -- false

(Double) -> Double

List of functions

• Math::Abs(Double{Flags:AutoMap}) -> Double
• Math::Acos(Double{Flags:AutoMap}) -> Double
• Math::Asin(Double{Flags:AutoMap}) -> Double
• Math::Asinh(Double{Flags:AutoMap}) -> Double
• Math::Atan(Double{Flags:AutoMap}) -> Double
• Math::Cbrt(Double{Flags:AutoMap}) -> Double
• Math::Ceil(Double{Flags:AutoMap}) -> Double
• Math::Cos(Double{Flags:AutoMap}) -> Double
• Math::Cosh(Double{Flags:AutoMap}) -> Double
• Math::Erf(Double{Flags:AutoMap}) -> Double
• Math::ErfInv(Double{Flags:AutoMap}) -> Double
• Math::ErfcInv(Double{Flags:AutoMap}) -> Double
• Math::Exp(Double{Flags:AutoMap}) -> Double
• Math::Exp2(Double{Flags:AutoMap}) -> Double
• Math::Fabs(Double{Flags:AutoMap}) -> Double
• Math::Floor(Double{Flags:AutoMap}) -> Double
• Math::Lgamma(Double{Flags:AutoMap}) -> Double
• Math::Rint(Double{Flags:AutoMap}) -> Double
• Math::Sigmoid(Double{Flags:AutoMap}) -> Double
• Math::Sin(Double{Flags:AutoMap}) -> Double
• Math::Sinh(Double{Flags:AutoMap}) -> Double
• Math::Sqrt(Double{Flags:AutoMap}) -> Double
• Math::Tan(Double{Flags:AutoMap}) -> Double
• Math::Tanh(Double{Flags:AutoMap}) -> Double
• Math::Tgamma(Double{Flags:AutoMap}) -> Double
• Math::Trunc(Double{Flags:AutoMap}) -> Double
• Math::Log(Double{Flags:AutoMap}) -> Double
• Math::Log2(Double{Flags:AutoMap}) -> Double
• Math::Log10(Double{Flags:AutoMap}) -> Double

Examples

SELECT Math::Sqrt(256);     -- 16
SELECT Math::Trunc(1.2345); -- 1

(Double, Double) -> Double

List of functions

• Math::Atan2(Double{Flags:AutoMap}, Double{Flags:AutoMap}) -> Double
• Math::Fmod(Double{Flags:AutoMap}, Double{Flags:AutoMap}) -> Double
• Math::Hypot(Double{Flags:AutoMap}, Double{Flags:AutoMap}) -> Double
• Math::Pow(Double{Flags:AutoMap}, Double{Flags:AutoMap}) -> Double
• Math::Remainder(Double{Flags:AutoMap}, Double{Flags:AutoMap}) -> Double

Examples

SELECT Math::Atan2(1, 0);       -- 1.570796327
SELECT Math::Remainder(2.1, 2); -- 0.1

(Double, Int32) -> Double

List of functions

• Math::Ldexp(Double{Flags:AutoMap}, Int32{Flags:AutoMap}) -> Double
• Math::Round(Double{Flags:AutoMap}, [Int32?]) -> Double: The second argument indicates the power of 10 to which we round (it’s negative for decimal digits and positive for rounding to tens, thousands, or millions); the default value is 0

Examples

SELECT Math::Pow(2, 10);        -- 1024
SELECT Math::Round(1.2345, -2); -- 1.23

(Double, Double, [Double?]) -> Bool

List of functions

• Math::FuzzyEquals(Double{Flags:AutoMap}, Double{Flags:AutoMap}, [Double?]) -> Bool: Compares two Doubles for being inside the neighborhood specified by the third argument; the default value is 1.0e-13

Examples

SELECT Math::FuzzyEquals(1.01, 1.0, 0.05); -- true

Functions for computing remainders

List of functions

• Math::Mod(Int64{Flags:AutoMap}, Int64) -> Int64?
• Math::Rem(Int64{Flags:AutoMap}, Int64) -> Int64?

These functions behave similarly to the built-in % operator in the case of non-negative arguments. The differences are noticeable in the case of negative arguments:

• Math::Mod preserves the sign of the second argument (the denominator).
• Math::Rem preserves the sign of the first argument (the numerator).
  Functions return null if the divisor is zero.

Examples

SELECT Math::Mod(-1, 7);        -- 6
SELECT Math::Rem(-1, 7);        -- -1