VEXP2PD

INSTRUCTION SET REFERENCE UNIQUE TO INTEL® XEON PHI™ PROCESSORS VEXP2PD — Approximation to the Exponential 2^x of Packed Double-Precision Floating-Point

Values with Less Than 2^-23 Relative Error

Opcode/ Instruction	Op / En	64/32 bit Mode Support	CPUID Feature Flag	Description
EVEX.512.66.0F38.W1 C8 /r VEXP2PD zmm1 {k1}{z}, zmm2/m512/m64bcst {sae}	A	V/V	AVX512ER	Computes approximations to the exponential 2^x (with less than 2^-23 of maximum relative error) of the packed double- precision floating-point values from zmm2/m512/m64bcst and stores the floating-point result in zmm1with writemask k1.

Instruction Operand Encoding

Op/En	Tuple Type	Operand 1	Operand 2	Operand 3	Operand 4
A	Full	ModRM:reg (r, w)	ModRM:r/m (r)	NA	NA

Description

Computes the approximate base-2 exponential evaluation of the double-precision floating-point values in the source operand (the second operand) and stores the results to the destination operand (the first operand) using the writemask k1. The approximate base-2 exponential is evaluated with less than 2^-23 of relative error.

Denormal input values are treated as zeros and do not signal #DE, irrespective of MXCSR.DAZ. Denormal results are flushed to zeros and do not signal #UE, irrespective of MXCSR.FTZ.

The source operand is a ZMM register, a 512-bit memory location or a 512-bit vector broadcasted from a 64-bit memory location. The destination operand is a ZMM register, conditionally updated using writemask k1.

EVEX.vvvv is reserved and must be 1111b otherwise instructions will #UD.

A numerically exact implementation of VEXP2xx can be found at https://software.intel.com/en-us/articles/refer- ence-implementations-for-IA-approximation-instructions-vrcp14-vrsqrt14-vrcp28-vrsqrt28-vexp2.

Operation

VEXP2PD

(KL, VL) = (8, 512)
FOR j ← 0 TO KL-1
    i ← j * 64
    IF k1[j] OR *no writemask* THEN
            IF (EVEX.b = 1) AND (SRC *is memory*)
                THEN DEST[i+63:i] ← EXP2_23_DP(SRC[63:0])
                ELSE DEST[i+63:i] ← EXP2_23_DP(SRC[i+63:i])
            FI;
    ELSE 
        IF *merging-masking*
                            ; merging-masking
            THEN *DEST[i+63:i] remains unchanged*
            ELSE 
                            ; zeroing-masking
                DEST[i+63:i] ← 0
        FI;
    FI;
ENDFOR;
                            INSTRUCTION SET REFERENCE UNIQUE TO INTEL® XEON PHI™ PROCESSORS

Table 6-33. Special Values Behavior

<table>
	<tr>
		<td><b>Source Input</b></td>
		<td><b>Result</b></td>
		<td><b>Comments</b></td>
	</tr>
	<tr>
		<td>NaN</td>
		<td>QNaN(src)</td>
		<td>If (SRC = SNaN) then #I</td>
	</tr>
	<tr>
		<td>+∞</td>
		<td>+∞</td>
		<td></td>
	</tr>
	<tr>
		<td>+/-0</td>
		<td>1.0f</td>
		<td>Exact result</td>
	</tr>
	<tr>
		<td>-∞</td>
		<td>+0.0f</td>
		<td></td>
	</tr>
	<tr>
		<td>Integral value N</td>
		<td>2^ (N)</td>
		<td>Exact result</td>
	</tr>
</table>

Intel C/C++ Compiler Intrinsic Equivalent

VEXP2PD __m512d _mm512_exp2a23_round_pd (__m512d a, int sae);
VEXP2PD __m512d _mm512_mask_exp2a23_round_pd (__m512d a, __mmask8 m, __m512d b, int sae);
VEXP2PD __m512d _mm512_maskz_exp2a23_round_pd ( __mmask8 m, __m512d b, int sae);

SIMD Floating-Point Exceptions

Invalid (if SNaN input), Overflow

Other Exceptions

See Exceptions Type E2.

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Source: Intel® Architecture Software Developer's Manual (May 2018)
Generated: 5-6-2018