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FETOXA

Operation

Approximates e raised to the source for finite values and signed infinity.

Assembler Syntax

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

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Unprivileged

Required CPUID flags

FP

FPTRANSA

Repeat eligibility

REP eligible

Computes the \(e^x\) reference over all finite values and signed infinity after DAZ and writes an implementation-bounded S- or D-format approximation under the selected FPTRANSA accuracy contract.

The required FPTRANSA_ACCURACY contract is 0x0031.

Special values

  • Positive infinity: the result is +infinity.

  • Negative infinity: the result is positive zero.

  • Zero source: the result is positive one.

Exact anchors

  • \(e^{\mathord{\pm}0} = +1\)

  • \(e^{+\infty} = +\infty\)

  • \(e^{-\infty} = +0\)

Required properties

  • strictly increasing for finite inputs

  • result is nonnegative

2.75in

Encodings

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

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

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