Module "math/additive"

Const additive

• additive<T>(type: T, fn: Fn<Term<T>, FloatTerm>, oct?: number | FloatTerm, name?: string): TaggedFn3<T, T, "float", "float">

• Higher order function. Takes an AST type ID, a single-arg scalar function fn, number of octaves (default: 4) and an optional function name. Returns a new function which computes the summed value of fn over the given number octaves and accepts 3 args:

  • position (float)
  • octave shift (float)
  • octave decay (usually 0.5)

  For each octave i [0..oct), the function is (in principle) evaluated as:

  n += decay / exp2(i) * fn(pos * exp2(i) + i * shift)

  Type parameters

  • T: Prim

  Parameters

  • type: T

  • fn: Fn<Term<T>, FloatTerm>

    -

  • Default value oct: number | FloatTerm = 4

    -

  • Default value name: string = "additive"

    -

  Returns TaggedFn3<T, T, "float", "float">