FREM

Operation

Computes the destination remainder using a nearest-even integral quotient.

Assembler Syntax

FREM.{S|D}(z) <ea>(e), Fn(d)

FREM.{S|D}(z) Fn(s), Fn(d)

Privilege

Unprivileged

Required CPUID flags

FP

Repeat eligibility

REP eligible

Computes and writes the IEEE floating-point remainder to the destination using a quotient rounded to the nearest integer with ties to even.

After DAZ processing, let \(x\) be the original destination and \(y\) the source. For finite valid operands, choose \(q\) as \(x/y\) rounded to the nearest integer with ties to even and compute $\(r = x - qy\)$ with exact intermediate arithmetic. A zero result has the sign of \(x\).

A signaling NaN generates NV; a NaN input produces the selected quiet NaN. Infinite \(x\) or zero \(y\) generates NV and produces the architectural default quiet NaN. Infinite \(y\) with finite \(x\) returns \(x\). An enabled floating-point exception condition raises the FLOATING_POINT_EXCEPTION architectural event before the destination write.

2.75in

Encodings

FREM.{S|D}(z) <ea>(e), Fn(d)

Format: Instruction format for FREM.{S|D}(z) <ea>(e), Fn(d)

2.75in FREM.{S|D}(z) Fn(s), Fn(d)

Format: Instruction format for FREM.{S|D}(z) Fn(s), Fn(d)