Std\Math

Math — polymorphic numeric operations and float math.

The Num trait provides polymorphic abs, max, min for both Int and Float. Float-specific functions (sqrt, sin, cos, etc.) are bound from the C math library via extern declarations.

Traits

Num

trait Num a
    abs : a -> a
    max : a -> a -> a
    min : a -> a -> a
    negate : a -> a
end

Numeric trait — polymorphic over Int and Float.

Functions

abs : a -> a

max : a -> a -> a

min : a -> a -> a

negate : a -> a

clamp : Int -> Int -> Int -> Int

Restricts a value to the range [lo, hi].

clamp 0 10 15   # => 10

sign : Int -> Int

Returns 1 for positive, -1 for negative, 0 for zero.

sign 42   # => 1

isEven : Int -> Bool

Returns true if the integer is even.

isOdd : Int -> Bool

Returns true if the integer is odd.

gcd : Int -> Int -> Int

Greatest common divisor (Euclidean algorithm).

gcd 12 8   # => 4

pow : Int -> Int -> Int

Integer exponentiation. Uses fast squaring.

pow 2 10   # => 1024

factorial : Int -> Int

Factorial: n! = 1 * 2 * ... * n.

factorial 5   # => 120

sqrt : Float -> Float

Square root (Float -> Float).

sin : Float -> Float

Sine (Float -> Float, radians).

cos : Float -> Float

Cosine (Float -> Float, radians).

tan : Float -> Float

Tangent (Float -> Float, radians).

log : Float -> Float

Natural logarithm (Float -> Float).

exp : Float -> Float

Exponential e^x (Float -> Float).

floor : Float -> Float

Floor (Float -> Float).

ceil : Float -> Float

Ceiling (Float -> Float).

round : Float -> Float

Round to nearest integer (Float -> Float).

pi : Float = 3.141592653589793

Pi constant.

pi   # => 3.14159265358979