# VGETEXPPD — Convert Exponents of Packed Double Precision Floating-Point Values to DoublePrecision Floating-Point Values

Opcode/Instruction | Op/En | 64/32 Bit Mode Support | CPUID Feature Flag | Description
--- | --- | --- | --- | ---
EVEX.128.66.0F38.W1 42 /r VGETEXPPD xmm1 {k1}{z}, xmm2/m128/m64bcst | A | V/V | AVX512VL AVX512F | Convert the exponent of packed double precision floating-point values in the source operand to double precision floating-point results representing unbiased integer exponents and stores the results in the destination register.
EVEX.256.66.0F38.W1 42 /r VGETEXPPD ymm1 {k1}{z}, ymm2/m256/m64bcst | A | V/V | AVX512VL AVX512F | Convert the exponent of packed double precision floating-point values in the source operand to double precision floating-point results representing unbiased integer exponents and stores the results in the destination register.
EVEX.512.66.0F38.W1 42 /r VGETEXPPD zmm1 {k1}{z}, zmm2/m512/m64bcst{sae} | A | V/V | AVX512F | Convert the exponent of packed double precision floating-point values in the source operand to double precision floating-point results representing unbiased integer exponents and stores the results in the destination under writemask k1.

## Instruction Operand Encoding ¶

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

### Description ¶

Extracts the biased exponents from the normalized double precision floating-point 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 floating-point value and written to the corresponding qword elements of the destination operand (the first operand) as double precision floating-point 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 floating-point number (permitting input value in denormal representation). Special cases of input values are listed in Table 5-15.

The formula is:

GETEXP(x) = floor(log2(|x|))

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

Input Operand | Result | Comments
--- | --- | ---
src1 = NaN | QNaN(src1) | If (SRC = SNaN) then #IE If (SRC = denormal) then #DE
0 < |src1| < INF | floor(log2(|src1|))
| src1| = +INF | +INF
| src1| = 0 | -INF

Table 5-15. VGETEXPPD/SD Special Cases

### Operation ¶

    NormalizeExpTinyDPFP(SRC[63:0])
    {
        // Jbit is the hidden integral bit of a floating-point 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 floating-point 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 Table 2-46, “Type E2 Class Exception Conditions.”

Additionally:

#UD | If EVEX.vvvv != 1111B.