<?xml version="1.0" ?><?xml-stylesheet type="text/xsl" encoding="UTF-8" href="iform.xsl" version="1.0"?><!DOCTYPE instructionsection  PUBLIC '-//ARM//DTD instructionsection //EN'  'iform-p.dtd'><!-- Copyright (c) 2010-2026 Arm Limited or its affiliates. All rights reserved. --><!-- This document is Non-Confidential. This document may only be used and distributed in accordance with the terms of the agreement entered into by Arm and the party that Arm delivered this document to. --><instructionsection id="FRECPX_advsimd" title="FRECPX -- A64" type="instruction">
  <docvars>
    <docvar key="advsimd-type" value="sisd"/>
    <docvar key="instr-class" value="advsimd"/>
    <docvar key="isa" value="A64"/>
    <docvar key="mnemonic" value="FRECPX"/>
  </docvars>
  <heading>FRECPX</heading>
  <desc>
    <brief>
      <para>Floating-point reciprocal exponent (scalar)</para>
    </brief>
    <authored>
      <para>This instruction finds an approximate reciprocal exponent for the source
SIMD&amp;FP register and writes the result to the destination SIMD&amp;FP register.</para>
      <para>This instruction can generate a floating-point exception.
  Depending on the settings in <register_link id="AArch64-fpcr.xml" state="AArch64">FPCR</register_link>,
  the exception results in either a flag being set in <register_link id="AArch64-fpsr.xml" state="AArch64">FPSR</register_link>
  or a synchronous exception being generated.
  For more information, see
  <xref linkend="ARMARM_BEIJDDAG">Floating-point exceptions and exception traps</xref>.</para>
      <para>Depending on the settings in the <register_link id="AArch64-cpacr_el1.xml" state="AArch64">CPACR_EL1</register_link>,
  <register_link id="AArch64-cptr_el2.xml" state="AArch64">CPTR_EL2</register_link>, and <register_link id="AArch64-cptr_el3.xml" state="AArch64">CPTR_EL3</register_link> registers,
  and the current Security state and Exception level,
  an attempt to execute the instruction might be trapped.</para>
    </authored>
  </desc>
  <alias_list howmany="0"/>
  <classes>
    <classesintro count="2">
      <txt>It has encodings from 2 classes:</txt>
      <a href="#iclass_half_precision">Half-precision</a>
      <txt> and </txt>
      <a href="#iclass_single_precision_and_double_precision">Single-precision and double-precision</a>
    </classesintro>
    <iclass name="Half-precision" oneof="2" id="iclass_half_precision" no_encodings="1" isa="A64">
      <docvars>
        <docvar key="advsimd-datatype" value="sisd-half"/>
        <docvar key="advsimd-type" value="sisd"/>
        <docvar key="datatype" value="half"/>
        <docvar key="instr-class" value="advsimd"/>
        <docvar key="isa" value="A64"/>
        <docvar key="mnemonic" value="FRECPX"/>
      </docvars>
      <iclassintro count="1"/>
      <arch_variants>
        <arch_variant feature="FEAT_AdvSIMD &amp;&amp; FEAT_FP16" name="v8Ap0 &amp;&amp; v8Ap2"/>
      </arch_variants>
      <regdiagram form="32" psname="A64.simd_dp.asisdmiscfp16.FRECPX_asisdmiscfp16_R" tworows="1">
        <box hibit="31" width="2" settings="2">
          <c>0</c>
          <c>1</c>
        </box>
        <box hibit="29" name="U" usename="1" settings="1" psbits="x">
          <c>0</c>
        </box>
        <box hibit="28" width="1" settings="1">
          <c>1</c>
        </box>
        <box hibit="27" width="3" settings="3">
          <c>1</c>
          <c>1</c>
          <c>1</c>
        </box>
        <box hibit="24" width="1" settings="1">
          <c>0</c>
        </box>
        <box hibit="23" name="a" usename="1" settings="1" psbits="x">
          <c>1</c>
        </box>
        <box hibit="22" width="4" settings="4">
          <c>1</c>
          <c>1</c>
          <c>1</c>
          <c>1</c>
        </box>
        <box hibit="18" width="2" settings="2">
          <c>0</c>
          <c>0</c>
        </box>
        <box hibit="16" width="5" name="opcode" usename="1" settings="5" psbits="xxxxx">
          <c>1</c>
          <c>1</c>
          <c>1</c>
          <c>1</c>
          <c>1</c>
        </box>
        <box hibit="11" width="2" settings="2">
          <c>1</c>
          <c>0</c>
        </box>
        <box hibit="9" width="5" name="Rn" usename="1">
          <c colspan="5"/>
        </box>
        <box hibit="4" width="5" name="Rd" usename="1">
          <c colspan="5"/>
        </box>
      </regdiagram>
      <encoding name="FRECPX_asisdmiscfp16_R" oneofinclass="1" oneof="2" label="">
        <docvars>
          <docvar key="datatype" value="half"/>
          <docvar key="instr-class" value="advsimd"/>
          <docvar key="isa" value="A64"/>
          <docvar key="advsimd-datatype" value="sisd-half"/>
          <docvar key="advsimd-type" value="sisd"/>
          <docvar key="mnemonic" value="FRECPX"/>
        </docvars>
        <asmtemplate><text>FRECPX  </text><a hover="Is the 16-bit name of the SIMD&amp;FP destination register, encoded in the &quot;Rd&quot; field." link="Hd">&lt;Hd&gt;</a><text>, </text><a hover="Is the 16-bit name of the SIMD&amp;FP source register, encoded in the &quot;Rn&quot; field." link="Hn__2">&lt;Hn&gt;</a></asmtemplate>
      </encoding>
      <ps_section howmany="1">
        <ps name="A64.simd_dp.asisdmiscfp16.FRECPX_asisdmiscfp16_R" sections="1" secttype="noheading">
          <pstext mayhavelinks="1" section="Decode" rep_section="decode">if !IsFeatureImplemented(FEAT_AdvSIMD) || !IsFeatureImplemented(FEAT_FP16) then
    <a link="func_EndOfDecode_1" file="shared_pseudocode.xml">EndOfDecode</a>(<a link="enum_Decode_UNDEF" file="shared_pseudocode.xml">Decode_UNDEF</a>);
end;

let d : integer = UInt(Rd);
let n : integer = UInt(Rn);

let esize : integer{} = 16;</pstext></ps>
      </ps_section>
    </iclass>
    <iclass name="Single-precision and double-precision" oneof="2" id="iclass_single_precision_and_double_precision" no_encodings="1" isa="A64">
      <docvars>
        <docvar key="advsimd-datatype" value="sisd-single-and-double"/>
        <docvar key="advsimd-type" value="sisd"/>
        <docvar key="datatype" value="single-and-double"/>
        <docvar key="instr-class" value="advsimd"/>
        <docvar key="isa" value="A64"/>
        <docvar key="mnemonic" value="FRECPX"/>
      </docvars>
      <iclassintro count="1"/>
      <arch_variants>
        <arch_variant feature="FEAT_AdvSIMD" name="v8Ap0"/>
      </arch_variants>
      <regdiagram form="32" psname="A64.simd_dp.asisdmisc.FRECPX_asisdmisc_R" tworows="1">
        <box hibit="31" width="2" settings="2">
          <c>0</c>
          <c>1</c>
        </box>
        <box hibit="29" name="U" usename="1" settings="1" psbits="x">
          <c>0</c>
        </box>
        <box hibit="28" width="1" settings="1">
          <c>1</c>
        </box>
        <box hibit="27" width="3" settings="3">
          <c>1</c>
          <c>1</c>
          <c>1</c>
        </box>
        <box hibit="24" width="1" settings="1">
          <c>0</c>
        </box>
        <box hibit="23" width="1" settings="1">
          <c>1</c>
        </box>
        <box hibit="22" width="1" name="sz" usename="1">
          <c colspan="1"/>
        </box>
        <box hibit="21" width="5" settings="5">
          <c>1</c>
          <c>0</c>
          <c>0</c>
          <c>0</c>
          <c>0</c>
        </box>
        <box hibit="16" width="5" name="opcode" usename="1" settings="5" psbits="xxxxx">
          <c>1</c>
          <c>1</c>
          <c>1</c>
          <c>1</c>
          <c>1</c>
        </box>
        <box hibit="11" width="2" settings="2">
          <c>1</c>
          <c>0</c>
        </box>
        <box hibit="9" width="5" name="Rn" usename="1">
          <c colspan="5"/>
        </box>
        <box hibit="4" width="5" name="Rd" usename="1">
          <c colspan="5"/>
        </box>
      </regdiagram>
      <encoding name="FRECPX_asisdmisc_R" oneofinclass="1" oneof="2" label="">
        <docvars>
          <docvar key="advsimd-type" value="sisd"/>
          <docvar key="instr-class" value="advsimd"/>
          <docvar key="isa" value="A64"/>
          <docvar key="advsimd-datatype" value="sisd-single-and-double"/>
          <docvar key="datatype" value="single-and-double"/>
          <docvar key="mnemonic" value="FRECPX"/>
        </docvars>
        <asmtemplate><text>FRECPX  </text><a hover="Is a width specifier, " link="V_option__9">&lt;V&gt;</a><a hover="Is the number of the SIMD&amp;FP destination register, encoded in the &quot;Rd&quot; field." link="d">&lt;d&gt;</a><text>, </text><a hover="Is a width specifier, " link="V_option__9">&lt;V&gt;</a><a hover="Is the number of the SIMD&amp;FP source register, encoded in the &quot;Rn&quot; field." link="n__3">&lt;n&gt;</a></asmtemplate>
      </encoding>
      <ps_section howmany="1">
        <ps name="A64.simd_dp.asisdmisc.FRECPX_asisdmisc_R" sections="1" secttype="noheading">
          <pstext mayhavelinks="1" section="Decode" rep_section="decode">if !IsFeatureImplemented(FEAT_AdvSIMD) then <a link="func_EndOfDecode_1" file="shared_pseudocode.xml">EndOfDecode</a>(<a link="enum_Decode_UNDEF" file="shared_pseudocode.xml">Decode_UNDEF</a>); end;
let d : integer = UInt(Rd);
let n : integer = UInt(Rn);

let esize : integer{} = 32 &lt;&lt; UInt(sz);</pstext></ps>
      </ps_section>
    </iclass>
  </classes>
  <explanations scope="all">
    <explanation enclist="FRECPX_asisdmiscfp16_R" symboldefcount="1">
      <symbol link="Hd">&lt;Hd&gt;</symbol>
      <account encodedin="Rd">
        <intro>
          <para>Is the 16-bit name of the SIMD&amp;FP destination register, encoded in the &quot;Rd&quot; field.</para>
        </intro>
      </account>
    </explanation>
    <explanation enclist="FRECPX_asisdmiscfp16_R" symboldefcount="1">
      <symbol link="Hn__2">&lt;Hn&gt;</symbol>
      <account encodedin="Rn">
        <intro>
          <para>Is the 16-bit name of the SIMD&amp;FP source register, encoded in the &quot;Rn&quot; field.</para>
        </intro>
      </account>
    </explanation>
    <explanation enclist="FRECPX_asisdmisc_R" symboldefcount="1">
      <symbol link="V_option__9">&lt;V&gt;</symbol>
      <definition encodedin="sz">
        <intro>Is a width specifier, </intro>
        <table class="valuetable">
          <tgroup cols="2">
            <thead>
              <row>
                <entry class="bitfield">sz</entry>
                <entry class="symbol">&lt;V&gt;</entry>
              </row>
            </thead>
            <tbody>
              <row>
                <entry class="bitfield">0</entry>
                <entry class="symbol">S</entry>
              </row>
              <row>
                <entry class="bitfield">1</entry>
                <entry class="symbol">D</entry>
              </row>
            </tbody>
          </tgroup>
        </table>
      </definition>
    </explanation>
    <explanation enclist="FRECPX_asisdmisc_R" symboldefcount="1">
      <symbol link="d">&lt;d&gt;</symbol>
      <account encodedin="Rd">
        <intro>
          <para>Is the number of the SIMD&amp;FP destination register, encoded in the &quot;Rd&quot; field.</para>
        </intro>
      </account>
    </explanation>
    <explanation enclist="FRECPX_asisdmisc_R" symboldefcount="1">
      <symbol link="n__3">&lt;n&gt;</symbol>
      <account encodedin="Rn">
        <intro>
          <para>Is the number of the SIMD&amp;FP source register, encoded in the &quot;Rn&quot; field.</para>
        </intro>
      </account>
    </explanation>
  </explanations>
  <ps_section howmany="1">
    <ps name="A64.simd_dp.asisdmiscfp16.FRECPX_asisdmiscfp16_R" sections="1" secttype="Operation">
      <pstext mayhavelinks="1" section="Execute" rep_section="execute"><a link="func_AArch64_CheckFPEnabled_0" file="shared_pseudocode.xml">AArch64_CheckFPEnabled</a>();
let operand : bits(esize) = V{}(n);

let merge : boolean = <a link="func_IsMerging_1" file="shared_pseudocode.xml">IsMerging</a>(FPCR());
var result : bits(128) = if merge then <a link="accessor_V_2" file="shared_pseudocode.xml">V</a>{128}(d) else Zeros{128};

result[0+:esize] = <a link="func_FPRecpX_3" file="shared_pseudocode.xml">FPRecpX</a>{esize}(operand, FPCR());

<a link="accessor_V_2" file="shared_pseudocode.xml">V</a>{128}(d) = result;</pstext></ps>
  </ps_section>
  <timestamp>2026-03-26 20:27:25</timestamp>
  <commit_id>2026-03_rel</commit_id>
</instructionsection>