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Derived combinator

As explained in Functional Programming in Scala, Second Edition

A derived combinator is a compositional operation defined in terms of other operations rather than as a primitive.

A derived combinator is a compositional operation defined from other operations rather than provided as a primitive. Separating the pieces keeps policy decisions local and lets useful behavior grow from single-purpose parts. section 7.1.3

Deriving lazyUnit

A strict primitive can support a nonstrict operation without knowing Par’s representation: `def unit[A](a: A): Par[A]` and `def lazyUnit[A](a: => A): Par[A] = fork(unit(a))`. The derived operation combines `unit` with `fork`, preserving the distinction between producing a value and controlling when it is evaluated. section 7.1.3

The same design scales to monads. Implementing a minimal set such as `unit` and `flatMap`, or `unit`, `map`, and `join`, provides access to derived operations while the monad laws constrain their composition. section 11.7

def unit[A](a: A): Par[A]
def lazyUnit[A](a: => A): Par[A] = fork(unit(a))

Inspect the primitive and derived definitions side by side. section 7.1.3

How Functional Programming in Scala, Second Edition covers it

How deep it goes
Defines the pattern, implements lazyUnit, and generalizes it to monadic operation sets without developing representation internals.
Examples
Demonstrates lazyUnit as fork applied to unit and contrasts it with minimal monadic combinator sets.
What it assumes
Assumes basic familiarity with functions and values, while introducing combinators through unit, fork, and flatMap examples.
What you can do after
Apply it via Par operations by building higher-level behavior from unit and fork without depending on Par’s representation.
How it connects
Connects primitive combinators with composition, Par, monads, functors, unit, flatMap, map, join, and evaluation strategy.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of Functional Programming in Scala, Second Edition. The section links point to the parts of the book it draws on.