VGETEXPPD — Convert Exponents of Packed DP FP Values to DP FP Values

Instruction Operand Encoding ¶

Description ¶

Extracts the biased exponents from the normalized DP FP representation of each qword data element of the source operand (the second operand) as unbiased signed integer value, or convert the denormal representation of input data to unbiased negative integer values. Each integer value of the unbiased exponent is converted to double-precision FP value and written to the corresponding qword elements of the destination operand (the first operand) as DP FP numbers.

The destination operand is a ZMM/YMM/XMM register and updated under the writemask. The source operand can be a ZMM/YMM/XMM register, a 512/256/128-bit memory location, or a 512/256/128-bit vector broadcasted from a 64-bit memory location.

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

Each GETEXP operation converts the exponent value into a FP number (permitting input value in denormal representation). Special cases of input values are listed in Table 5-14.

The formula is:

GETEXP(x) = floor(log₂(|x|))

Notation floor(x) stands for the greatest integer not exceeding real number x.

Operation ¶

NormalizeExpTinyDPFP(SRC[63:0])
{
    // Jbit is the hidden integral bit of a FP number. In case of denormal number it has the value of ZERO.
    Src.Jbit ← 0;
    Dst.exp ← 1;
    Dst.fraction ← SRC[51:0];
    WHILE(Src.Jbit = 0)
    {
        Src.Jbit←Dst.fraction[51];
                        // Get the fraction MSB
        Dst.fraction←Dst.fraction << 1 ;
                            // One bit shift left
        Dst.exp-- ;
                // Decrement the exponent
    }
    Dst.fraction←0;
    Dst.sign←1;
    TMP[63:0] ← MXCSR.DAZ? 0 : (Dst.sign << 63) OR (Dst.exp << 52) OR (Dst.fraction) ;
    Return (TMP[63:0]);
}
ConvertExpDPFP(SRC[63:0])
{
    Src.sign←0;
                // Zero out sign bit
    Src.exp ← SRC[62:52];
    Src.fraction ← SRC[51:0];
    // Check for NaN
    IF (SRC = NaN)
    {
        IF ( SRC = SNAN ) SET IE;
        Return QNAN(SRC);
    }
    // Check for +INF
    IF (SRC = +INF) Return (SRC);
    // check if zero operand
    IF ((Src.exp = 0) AND ((Src.fraction = 0) OR (MXCSR.DAZ = 1))) Return (-INF);
    }
    ELSE // check if denormal operand (notice that MXCSR.DAZ = 0)
    {
        IF ((Src.exp = 0) AND (Src.fraction != 0))
        {
            TMP[63:0]←NormalizeExpTinyDPFP(SRC[63:0]) ;
                                // Get Normalized Exponent
            Set #DE
        }
        ELSE // exponent value is correct
        {
            TMP[63:0]←(Src.sign << 63) OR (Src.exp << 52) OR (Src.fraction) ;
        }
        TMP←SAR(TMP, 52) ;
                    // Shift Arithmetic Right
        TMP←TMP – 1023;
                    // Subtract Bias
        Return CvtI2D(TMP);
                    // Convert INT to Double-Precision FP number
    }
}

VGETEXPPD (EVEX encoded versions) ¶

(KL, VL) = (2, 128), (4, 256), (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] ←
            ConvertExpDPFP(SRC[63:0])
                ELSE
                    DEST[i+63:i] ←
            ConvertExpDPFP(SRC[i+63:i])
            FI;
        ELSE
            IF *merging-masking*
                THEN *DEST[i+63:i] remains unchanged*
                ELSE ; zeroing-masking
                    DEST[i+63:i] ← 0
            FI
    FI;
ENDFOR
DEST[MAXVL-1:VL] ← 0

Intel C/C++ Compiler Intrinsic Equivalent ¶

VGETEXPPD __m512d _mm512_getexp_pd(__m512d a);

VGETEXPPD __m512d _mm512_mask_getexp_pd(__m512d s, __mmask8 k, __m512d a);

VGETEXPPD __m512d _mm512_maskz_getexp_pd( __mmask8 k, __m512d a);

VGETEXPPD __m512d _mm512_getexp_round_pd(__m512d a, int sae);

VGETEXPPD __m512d _mm512_mask_getexp_round_pd(__m512d s, __mmask8 k, __m512d a, int sae);

VGETEXPPD __m512d _mm512_maskz_getexp_round_pd( __mmask8 k, __m512d a, int sae);

VGETEXPPD __m256d _mm256_getexp_pd(__m256d a);

VGETEXPPD __m256d _mm256_mask_getexp_pd(__m256d s, __mmask8 k, __m256d a);

VGETEXPPD __m256d _mm256_maskz_getexp_pd( __mmask8 k, __m256d a);

VGETEXPPD __m128d _mm_getexp_pd(__m128d a);

VGETEXPPD __m128d _mm_mask_getexp_pd(__m128d s, __mmask8 k, __m128d a);

VGETEXPPD __m128d _mm_maskz_getexp_pd( __mmask8 k, __m128d a);

SIMD Floating-Point Exceptions ¶

Invalid, Denormal

Other Exceptions ¶

See Exceptions Type E2.