VFMSUBADD132PS/VFMSUBADD213PS/VFMSUBADD231PS—Fused Multiply-Alternating Subtract/Add of Packed Single-Precision Floating-Point Values

Instruction Operand Encoding

Description

VFMSUBADD132PS: Multiplies the four, eight or sixteen packed single-precision floating-point values from the first source operand to the corresponding packed single-precision floating-point values in the third source operand. From the infinite precision intermediate result, subtracts the odd single-precision floating-point elements and adds the even single-precision floating-point values in the second source operand, performs rounding and stores the resulting packed single-precision floating-point values to the destination operand (first source operand).

VFMSUBADD213PS: Multiplies the four, eight or sixteen packed single-precision floating-point values from the second source operand to the corresponding packed single-precision floating-point values in the first source operand. From the infinite precision intermediate result, subtracts the odd single-precision floating-point elements and adds the even single-precision floating-point values in the third source operand, performs rounding and stores the resulting packed single-precision floating-point values to the destination operand (first source operand).

VFMSUBADD231PS: Multiplies the four, eight or sixteen packed single-precision floating-point values from the second source operand to the corresponding packed single-precision floating-point values in the third source operand. From the infinite precision intermediate result, subtracts the odd single-precision floating-point elements and adds the even single-precision floating-point values in the first source operand, performs rounding and stores the resulting packed single-precision floating-point values to the destination operand (first source operand).

EVEX encoded versions: The destination operand (also first source operand) and the second source operand are ZMM/YMM/XMM register. The third source operand is a ZMM/YMM/XMM register, a 512/256/128-bit memory loca-tion or a 512/256/128-bit vector broadcasted from a 32-bit memory location. The destination operand is condition-ally 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.

Compiler tools may optionally support a complementary mnemonic for each instruction mnemonic listed in the opcode/instruction column of the summary table. The behavior of the complementary mnemonic in situations involving NANs are governed by the definition of the instruction mnemonic defined in the opcode/instruction column.

Operation

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

VFMSUBADD132PS DEST, SRC2, SRC3

IF (VEX.128) THEN

MAXNUM (cid:197)2

ELSEIF (VEX.256)

MAXNUM (cid:197) 4

FI

For i = 0 to MAXNUM -1{

n (cid:197) 64*i;

DEST[n+31:n] (cid:197)RoundFPControl_MXCSR(DEST[n+31:n]*SRC3[n+31:n] + SRC2[n+31:n])

DEST[n+63:n+32] (cid:197)RoundFPControl_MXCSR(DEST[n+63:n+32]*SRC3[n+63:n+32] -SRC2[n+63:n+32])

}

IF (VEX.128) THEN

DEST[MAX_VL-1:128] (cid:197)0

ELSEIF (VEX.256)

DEST[MAX_VL-1:256] (cid:197) 0

FI

VFMSUBADD213PS DEST, SRC2, SRC3

IF (VEX.128) THEN

MAXNUM (cid:197)2

ELSEIF (VEX.256)

MAXNUM (cid:197) 4

FI

For i = 0 to MAXNUM -1{

n (cid:197) 64*i;

DEST[n+31:n] (cid:197)RoundFPControl_MXCSR(SRC2[n+31:n]*DEST[n+31:n] +SRC3[n+31:n])

DEST[n+63:n+32] (cid:197)RoundFPControl_MXCSR(SRC2[n+63:n+32]*DEST[n+63:n+32] -SRC3[n+63:n+32])

}

IF (VEX.128) THEN

DEST[MAX_VL-1:128] (cid:197)0

ELSEIF (VEX.256)

DEST[MAX_VL-1:256] (cid:197) 0

FI

VFMSUBADD231PS DEST, SRC2, SRC3

IF (VEX.128) THEN

MAXNUM (cid:197)2

ELSEIF (VEX.256)

MAXNUM (cid:197) 4

FI

For i = 0 to MAXNUM -1{

n (cid:197) 64*i;

DEST[n+31:n] (cid:197)RoundFPControl_MXCSR(SRC2[n+31:n]*SRC3[n+31:n] + DEST[n+31:n])

DEST[n+63:n+32] (cid:197)RoundFPControl_MXCSR(SRC2[n+63:n+32]*SRC3[n+63:n+32] -DEST[n+63:n+32])

}

IF (VEX.128) THEN

DEST[MAX_VL-1:128] (cid:197)0

ELSEIF (VEX.256)

DEST[MAX_VL-1:256] (cid:197) 0

FI

VFMSUBADD132PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a register)

(KL, VL) = (4, 128), (8, 256), (16, 512)

IF (VL = 512) AND (EVEX.b = 1)

THEN

SET_RM(EVEX.RC);

ELSE

SET_RM(MXCSR.RM);

FI;

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN DEST[i+31:i] (cid:197)

RoundFPControl(DEST[i+31:i]*SRC3[i+31:i] + SRC2[i+31:i])

ELSE DEST[i+31:i] (cid:197)

RoundFPControl(DEST[i+31:i]*SRC3[i+31:i] - SRC2[i+31:i])

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

VFMSUBADD132PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source)

(KL, VL) = (4, 128), (8, 256), (16, 512)

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(DEST[i+31:i]*SRC3[31:0] + SRC2[i+31:i])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(DEST[i+31:i]*SRC3[i+31:i] + SRC2[i+31:i])

FI;

ELSE

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(DEST[i+31:i]*SRC3[31:0] - SRC2[i+31:i])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(DEST[i+31:i]*SRC3[i+31:i] - SRC2[i+31:i])

FI;

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

VFMSUBADD213PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a register)

(KL, VL) = (4, 128), (8, 256), (16, 512)

IF (VL = 512) AND (EVEX.b = 1)

THEN

SET_RM(EVEX.RC);

ELSE

SET_RM(MXCSR.RM);

FI;

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN DEST[i+31:i] (cid:197)

RoundFPControl(SRC2[i+31:i]*DEST[i+31:i] + SRC3[i+31:i])

ELSE DEST[i+31:i] (cid:197)

RoundFPControl(SRC2[i+31:i]*DEST[i+31:i] - SRC3[i+31:i])

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

VFMSUBADD213PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source)

(KL, VL) = (4, 128), (8, 256), (16, 512)

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*DEST[i+31:i] + SRC3[31:0])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*DEST[i+31:i] + SRC3[i+31:i])

FI;

ELSE

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*DEST[i+31:i] - SRC3[i+31:i])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*DEST[i+31:i] - SRC3[31:0])

FI;

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

VFMSUBADD231PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a register)

(KL, VL) = (4, 128), (8, 256), (16, 512)

IF (VL = 512) AND (EVEX.b = 1)

THEN

SET_RM(EVEX.RC);

ELSE

SET_RM(MXCSR.RM);

FI;

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN DEST[i+31:i] (cid:197)

RoundFPControl(SRC2[i+31:i]*SRC3[i+31:i] + DEST[i+31:i])

ELSE DEST[i+31:i] (cid:197)

RoundFPControl(SRC2[i+31:i]*SRC3[i+31:i] - DEST[i+31:i])

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

VFMSUBADD231PS DEST, SRC2, SRC3 (EVEX encoded version, when src3 operand is a memory source)

(KL, VL) = (4, 128), (8, 256), (16, 512)

FOR j (cid:197) 0 TO KL-1

i (cid:197) j * 32

IF k1[j] OR *no writemask*

THEN

IF j *is even*

THEN

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*SRC3[31:0] + DEST[i+31:i])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*SRC3[i+31:i] + DEST[i+31:i])

FI;

ELSE

IF (EVEX.b = 1)

THEN

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*SRC3[31:0] - DEST[i+31:i])

ELSE

DEST[i+31:i] (cid:197)

RoundFPControl_MXCSR(SRC2[i+31:i]*SRC3[i+31:i] - DEST[i+31:i])

FI;

FI

ELSE

IF *merging-masking*

; merging-masking

THEN *DEST[i+31:i] remains unchanged*

ELSE

; zeroing-masking

DEST[i+31:i] (cid:197) 0

FI

FI;

ENDFOR

DEST[MAX_VL-1:VL] (cid:197) 0

Intel C/C++ Compiler Intrinsic Equivalent

VFMSUBADDxxxPS __m512 _mm512_fmsubadd_ps(__m512 a, __m512 b, __m512 c);

VFMSUBADDxxxPS __m512 _mm512_fmsubadd_round_ps(__m512 a, __m512 b, __m512 c, int r);

VFMSUBADDxxxPS __m512 _mm512_mask_fmsubadd_ps(__m512 a, __mmask16 k, __m512 b, __m512 c);

VFMSUBADDxxxPS __m512 _mm512_maskz_fmsubadd_ps(__mmask16 k, __m512 a, __m512 b, __m512 c);

VFMSUBADDxxxPS __m512 _mm512_mask3_fmsubadd_ps(__m512 a, __m512 b, __m512 c, __mmask16 k);

VFMSUBADDxxxPS __m512 _mm512_mask_fmsubadd_round_ps(__m512 a, __mmask16 k, __m512 b, __m512 c, int r);

VFMSUBADDxxxPS __m512 _mm512_maskz_fmsubadd_round_ps(__mmask16 k, __m512 a, __m512 b, __m512 c, int r);

VFMSUBADDxxxPS __m512 _mm512_mask3_fmsubadd_round_ps(__m512 a, __m512 b, __m512 c, __mmask16 k, int r);

VFMSUBADDxxxPS __m256 _mm256_mask_fmsubadd_ps(__m256 a, __mmask8 k, __m256 b, __m256 c);

VFMSUBADDxxxPS __m256 _mm256_maskz_fmsubadd_ps(__mmask8 k, __m256 a, __m256 b, __m256 c);

VFMSUBADDxxxPS __m256 _mm256_mask3_fmsubadd_ps(__m256 a, __m256 b, __m256 c, __mmask8 k);

VFMSUBADDxxxPS __m128 _mm_mask_fmsubadd_ps(__m128 a, __mmask8 k, __m128 b, __m128 c);

VFMSUBADDxxxPS __m128 _mm_maskz_fmsubadd_ps(__mmask8 k, __m128 a, __m128 b, __m128 c);

VFMSUBADDxxxPS __m128 _mm_mask3_fmsubadd_ps(__m128 a, __m128 b, __m128 c, __mmask8 k);

VFMSUBADDxxxPS __m128 _mm_fmsubadd_ps (__m128 a, __m128 b, __m128 c);

VFMSUBADDxxxPS __m256 _mm256_fmsubadd_ps (__m256 a, __m256 b, __m256 c);

SIMD Floating-Point Exceptions

Overflow, Underflow, Invalid, Precision, Denormal

Other Exceptions