# VFMADD132PD/VFMADD213PD/VFMADD231PD — Fused Multiply-Add of Packed DoublePrecision Floating-Point Values

Opcode/Instruction | Op/En | 64/32 Bit Mode Support | CPUID Feature Flag | Description
--- | --- | --- | --- | ---
VEX.128.66.0F38.W1 98 /r VFMADD132PD xmm1, xmm2, xmm3/m128 | A | V/V | FMA | Multiply packed double precision floating-point values from xmm1 and xmm3/mem, add to xmm2 and put result in xmm1.
VEX.128.66.0F38.W1 A8 /r VFMADD213PD xmm1, xmm2, xmm3/m128 | A | V/V | FMA | Multiply packed double precision floating-point values from xmm1 and xmm2, add to xmm3/mem and put result in xmm1.
VEX.128.66.0F38.W1 B8 /r VFMADD231PD xmm1, xmm2, xmm3/m128 | A | V/V | FMA | Multiply packed double precision floating-point values from xmm2 and xmm3/mem, add to xmm1 and put result in xmm1.
VEX.256.66.0F38.W1 98 /r VFMADD132PD ymm1, ymm2, ymm3/m256 | A | V/V | FMA | Multiply packed double precision floating-point values from ymm1 and ymm3/mem, add to ymm2 and put result in ymm1.
VEX.256.66.0F38.W1 A8 /r VFMADD213PD ymm1, ymm2, ymm3/m256 | A | V/V | FMA | Multiply packed double precision floating-point values from ymm1 and ymm2, add to ymm3/mem and put result in ymm1.
VEX.256.66.0F38.W1 B8 /r VFMADD231PD ymm1, ymm2, ymm3/m256 | A | V/V | FMA | Multiply packed double precision floating-point values from ymm2 and ymm3/mem, add to ymm1 and put result in ymm1.
EVEX.128.66.0F38.W1 98 /r VFMADD132PD xmm1 {k1}{z}, xmm2, xmm3/m128/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from xmm1 and xmm3/m128/m64bcst, add to xmm2 and put result in xmm1.
EVEX.128.66.0F38.W1 A8 /r VFMADD213PD xmm1 {k1}{z}, xmm2, xmm3/m128/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from xmm1 and xmm2, add to xmm3/m128/m64bcst and put result in xmm1.
EVEX.128.66.0F38.W1 B8 /r VFMADD231PD xmm1 {k1}{z}, xmm2, xmm3/m128/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from xmm2 and xmm3/m128/m64bcst, add to xmm1 and put result in xmm1.
EVEX.256.66.0F38.W1 98 /r VFMADD132PD ymm1 {k1}{z}, ymm2, ymm3/m256/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from ymm1 and ymm3/m256/m64bcst, add to ymm2 and put result in ymm1.
EVEX.256.66.0F38.W1 A8 /r VFMADD213PD ymm1 {k1}{z}, ymm2, ymm3/m256/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from ymm1 and ymm2, add to ymm3/m256/m64bcst and put result in ymm1.
EVEX.256.66.0F38.W1 B8 /r VFMADD231PD ymm1 {k1}{z}, ymm2, ymm3/m256/m64bcst | B | V/V | AVX512VL AVX512F | Multiply packed double precision floating-point values from ymm2 and ymm3/m256/m64bcst, add to ymm1 and put result in ymm1.
EVEX.512.66.0F38.W1 98 /r VFMADD132PD zmm1 {k1}{z}, zmm2, zmm3/m512/m64bcst{er} | B | V/V | AVX512F | Multiply packed double precision floating-point values from zmm1 and zmm3/m512/m64bcst, add to zmm2 and put result in zmm1.
EVEX.512.66.0F38.W1 A8 /r VFMADD213PD zmm1 {k1}{z}, zmm2, zmm3/m512/m64bcst{er} | B | V/V | AVX512F | Multiply packed double precision floating-point values from zmm1 and zmm2, add to zmm3/m512/m64bcst and put result in zmm1.
EVEX.512.66.0F38.W1 B8 /r VFMADD231PD zmm1 {k1}{z}, zmm2, zmm3/m512/m64bcst{er} | B | V/V | AVX512F | Multiply packed double precision floating-point values from zmm2 and zmm3/m512/m64bcst, add to zmm1 and put result in zmm1.

## Instruction Operand Encoding ¶

Op/En | Tuple Type | Operand 1 | Operand 2 | Operand 3 | Operand 4
--- | --- | --- | --- | --- | ---
A | N/A | ModRM:reg (r, w) | VEX.vvvv (r) | ModRM:r/m (r) | N/A
B | Full | ModRM:reg (r, w) | EVEX.vvvv (r) | ModRM:r/m (r) | N/A

### Description ¶

Performs a set of SIMD multiply-add computation on packed double precision floating-point values using three source operands and writes the multiply-add results in the destination operand. The destination operand is also the first source operand. The second operand must be a SIMD register. The third source operand can be a SIMD register or a memory location.

VFMADD132PD: Multiplies the two, four or eight packed double precision floating-point values from the first source operand to the two, four or eight packed double precision floating-point values in the third source operand, adds the infinite precision intermediate result to the two, four or eight packed double precision floating-point values in the second source operand, performs rounding and stores the resulting two, four or eight packed double precision floating-point values to the destination operand (first source operand).

VFMADD213PD: Multiplies the two, four or eight packed double precision floating-point values from the second source operand to the two, four or eight packed double precision floating-point values in the first source operand, adds the infinite precision intermediate result to the two, four or eight packed double precision floating-point values in the third source operand, performs rounding and stores the resulting two, four or eight packed double precision floating-point values to the destination operand (first source operand).

VFMADD231PD: Multiplies the two, four or eight packed double precision floating-point values from the second source to the two, four or eight packed double precision floating-point values in the third source operand, adds the infinite precision intermediate result to the two, four or eight packed double precision floating-point values in the first source operand, performs rounding and stores the resulting two, four or eight packed double precision floating-point values to the destination operand (first source operand).

EVEX encoded versions: The destination operand (also first source operand) is a ZMM register and encoded in reg_field. The second source operand is a ZMM register and encoded in EVEX.vvvv. The third 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 conditionally updated with write mask k1.

VEX.256 encoded version: The destination operand (also first source operand) is a YMM register and encoded in reg_field. The second source operand is a YMM register and encoded in VEX.vvvv. The third source operand is a YMM register or a 256-bit memory location and encoded in rm_field.

VEX.128 encoded version: The destination operand (also first source operand) is a XMM register and encoded in reg_field. The second source operand is a XMM register and encoded in VEX.vvvv. The third source operand is a XMM register or a 128-bit memory location and encoded in rm_field. The upper 128 bits of the YMM destination register are zeroed.

### Operation ¶

    In the operations below, “*” and “+” symbols represent multiplication and addition with infinite precision inputs and outputs (no
    rounding).

#### VFMADD132PD DEST, SRC2, SRC3 (VEX encoded version) ¶

    IF (VEX.128) THEN
        MAXNUM := 2
    ELSEIF (VEX.256)
        MAXNUM := 4
    FI
    For i = 0 to MAXNUM-1 {
        n := 64*i;
        DEST[n+63:n] := RoundFPControl_MXCSR(DEST[n+63:n]*SRC3[n+63:n] + SRC2[n+63:n])
    }
    IF (VEX.128) THEN
        DEST[MAXVL-1:128] := 0
    ELSEIF (VEX.256)
        DEST[MAXVL-1:256] := 0
    FI

#### VFMADD213PD DEST, SRC2, SRC3 (VEX encoded version) ¶

    IF (VEX.128) THEN
        MAXNUM := 2
    ELSEIF (VEX.256)
        MAXNUM := 4
    FI
    For i = 0 to MAXNUM-1 {
        n := 64*i;
        DEST[n+63:n] := RoundFPControl_MXCSR(SRC2[n+63:n]*DEST[n+63:n] + SRC3[n+63:n])
    }
    IF (VEX.128) THEN
        DEST[MAXVL-1:128] := 0
    ELSEIF (VEX.256)
        DEST[MAXVL-1:256] := 0
    FI

#### VFMADD231PD DEST, SRC2, SRC3 (VEX encoded version) ¶

    IF (VEX.128) THEN
        MAXNUM := 2
    ELSEIF (VEX.256)
        MAXNUM := 4
    FI
    For i = 0 to MAXNUM-1 {
        n := 64*i;
        DEST[n+63:n] := RoundFPControl_MXCSR(SRC2[n+63:n]*SRC3[n+63:n] + DEST[n+63:n])
    }
    IF (VEX.128) THEN
        DEST[MAXVL-1:128] := 0
    ELSEIF (VEX.256)
        DEST[MAXVL-1:256] := 0
    FI

#### VFMADD132PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a register) ¶

    (KL, VL) = (2, 128), (4, 256), (8, 512)
    IF (VL = 512) AND (EVEX.b = 1)
        THEN
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(EVEX.RC);
        ELSE
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(MXCSR.RC);
    FI;
    FOR j := 0 TO KL-1
        i := j * 64
        IF k1[j] OR *no writemask*
            THEN DEST[i+63:i] :=
                RoundFPControl(DEST[i+63:i]*SRC3[i+63:i] + SRC2[i+63:i])
            ELSE
                IF *merging-masking* ; 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

#### VFMADD132PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source) ¶

    (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)
                    THEN
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(DEST[i+63:i]*SRC3[63:0] + SRC2[i+63:i])
                    ELSE
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(DEST[i+63:i]*SRC3[i+63:i] + SRC2[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
    DEST[MAXVL-1:VL] := 0

#### VFMADD213PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a is a register) ¶

    (KL, VL) = (2, 128), (4, 256), (8, 512)
    IF (VL = 512) AND (EVEX.b = 1)
        THEN
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(EVEX.RC);
        ELSE
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(MXCSR.RC);
    FI;
    FOR j := 0 TO KL-1
        i := j * 64
        IF k1[j] OR *no writemask*
            THEN DEST[i+63:i] :=
                RoundFPControl(SRC2[i+63:i]*DEST[i+63:i] + SRC3[i+63:i])
            ELSE
                IF *merging-masking* ; 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

#### VFMADD213PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source) ¶

    (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)
                    THEN
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(SRC2[i+63:i]*DEST[i+63:i] + SRC3[63:0])
                    ELSE
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(SRC2[i+63:i]*DEST[i+63:i] + SRC3[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
    DEST[MAXVL-1:VL] := 0

#### VFMADD231PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a register) ¶

    (KL, VL) = (2, 128), (4, 256), (8, 512)
    IF (VL = 512) AND (EVEX.b = 1)
        THEN
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(EVEX.RC);
        ELSE
            SET_ROUNDING_MODE_FOR_THIS_INSTRUCTION(MXCSR.RC);
    FI;
    FOR j := 0 TO KL-1
        i := j * 64
        IF k1[j] OR *no writemask*
            THEN DEST[i+63:i] :=
                RoundFPControl(SRC2[i+63:i]*SRC3[i+63:i] + DEST[i+63:i])
            ELSE
                IF *merging-masking* ; 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

#### VFMADD231PD DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source) ¶

    (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)
                    THEN
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(SRC2[i+63:i]*SRC3[63:0] + DEST[i+63:i])
                    ELSE
                        DEST[i+63:i] :=
                RoundFPControl_MXCSR(SRC2[i+63:i]*SRC3[i+63:i] + DEST[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
    DEST[MAXVL-1:VL] := 0

### Intel C/C++ Compiler Intrinsic Equivalent ¶

    VFMADDxxxPD __m512d _mm512_fmadd_pd(__m512d a, __m512d b, __m512d c);

    VFMADDxxxPD __m512d _mm512_fmadd_round_pd(__m512d a, __m512d b, __m512d c, int r);

    VFMADDxxxPD __m512d _mm512_mask_fmadd_pd(__m512d a, __mmask8 k, __m512d b, __m512d c);

    VFMADDxxxPD __m512d _mm512_maskz_fmadd_pd(__mmask8 k, __m512d a, __m512d b, __m512d c);

    VFMADDxxxPD __m512d _mm512_mask3_fmadd_pd(__m512d a, __m512d b, __m512d c, __mmask8 k);

    VFMADDxxxPD __m512d _mm512_mask_fmadd_round_pd(__m512d a, __mmask8 k, __m512d b, __m512d c, int r);

    VFMADDxxxPD __m512d _mm512_maskz_fmadd_round_pd(__mmask8 k, __m512d a, __m512d b, __m512d c, int r);

    VFMADDxxxPD __m512d _mm512_mask3_fmadd_round_pd(__m512d a, __m512d b, __m512d c, __mmask8 k, int r);

    VFMADDxxxPD __m256d _mm256_mask_fmadd_pd(__m256d a, __mmask8 k, __m256d b, __m256d c);

    VFMADDxxxPD __m256d _mm256_maskz_fmadd_pd(__mmask8 k, __m256d a, __m256d b, __m256d c);

    VFMADDxxxPD __m256d _mm256_mask3_fmadd_pd(__m256d a, __m256d b, __m256d c, __mmask8 k);

    VFMADDxxxPD __m128d _mm_mask_fmadd_pd(__m128d a, __mmask8 k, __m128d b, __m128d c);

    VFMADDxxxPD __m128d _mm_maskz_fmadd_pd(__mmask8 k, __m128d a, __m128d b, __m128d c);

    VFMADDxxxPD __m128d _mm_mask3_fmadd_pd(__m128d a, __m128d b, __m128d c, __mmask8 k);

    VFMADDxxxPD __m128d _mm_fmadd_pd (__m128d a, __m128d b, __m128d c);

    VFMADDxxxPD __m256d _mm256_fmadd_pd (__m256d a, __m256d b, __m256d c);

### SIMD Floating-Point Exceptions ¶

Overflow, Underflow, Invalid, Precision, Denormal.

### Other Exceptions ¶

VEX-encoded instructions, see Table 2-19, “Type 2 Class Exception Conditions.”

EVEX-encoded instructions, see Table 2-46, “Type E2 Class Exception Conditions.”