How deeply does Clojure: The Essential Reference cover rem?

Defines the contract and demonstrates positive and negative results, while deliberately deferring detailed negative-number rules.

Rem

As explained in Clojure: The Essential Reference

rem is a Clojure function that returns the remainder of dividing two numbers, with sign behavior determined by the dividend.

rem returns the remainder left by dividing two numbers. Both arguments must be numbers; a zero divisor raises ArithmeticException, and double inputs produce a double result. section 5.7

Use these results to distinguish rem from related numeric operations:

Use quot for the whole-number division result and rem for the leftover amount. section 5.7

Sizing containers

Combine quot and rem to calculate a container size: (optimal-size 900 22) returns 41, then partition-all groups the items into containers of that size.

How Clojure: The Essential Reference covers it

Cover of Clojure: The Essential Reference

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Related concepts

mpz_modcontrasts with · mpz_mod is an operation that computes the remainder of integer division.
quotcontrasts with · quot is a Clojure function that returns the quotient of dividing two numbers, truncating any fractional part.
unchecked-remainder-intincludes · unchecked-remainder-int is a Clojure function that computes the remainder of two numeric values as primitive 32-bit signed integers without overflow checking.
remainder operationproduces · A remainder operation returns the residual left after dividing one value or algebraic expression by another under the applicable division rules.

This explainer was generated by Manning's knowledge graph from the text of Clojure: The Essential Reference. The section links point to the parts of the book it draws on.