PMADDWD — Multiply and Add Packed Integers
| Opcode/Instruction | Op/En | 64/32 bit Mode Support | CPUID Feature Flag | Description |
|---|---|---|---|---|
| NP 0F F5 /r1 PMADDWD mm, mm/m64 | A | V/V | MMX | Multiply the packed words in mm by the packed words in mm/m64, add adjacent doubleword results, and store in mm. |
| 66 0F F5 /r PMADDWD xmm1, xmm2/m128 | A | V/V | SSE2 | Multiply the packed word integers in xmm1 by the packed word integers in xmm2/m128, add adjacent doubleword results, and store in xmm1. |
| VEX.128.66.0F.WIG F5 /r VPMADDWD xmm1, xmm2, xmm3/m128 | B | V/V | AVX | Multiply the packed word integers in xmm2 by the packed word integers in xmm3/m128, add adjacent doubleword results, and store in xmm1. |
| VEX.256.66.0F.WIG F5 /r VPMADDWD ymm1, ymm2, ymm3/m256 | B | V/V | AVX2 | Multiply the packed word integers in ymm2 by the packed word integers in ymm3/m256, add adjacent doubleword results, and store in ymm1. |
| EVEX.128.66.0F.WIG F5 /r VPMADDWD xmm1 {k1}{z}, xmm2, xmm3/m128 | C | V/V | AVX512VL AVX512BW | Multiply the packed word integers in xmm2 by the packed word integers in xmm3/m128, add adjacent doubleword results, and store in xmm1 under writemask k1. |
| EVEX.256.66.0F.WIG F5 /r VPMADDWD ymm1 {k1}{z}, ymm2, ymm3/m256 | C | V/V | AVX512VL AVX512BW | Multiply the packed word integers in ymm2 by the packed word integers in ymm3/m256, add adjacent doubleword results, and store in ymm1 under writemask k1. |
| EVEX.512.66.0F.WIG F5 /r VPMADDWD zmm1 {k1}{z}, zmm2, zmm3/m512 | C | V/V | AVX512BW | Multiply the packed word integers in zmm2 by the packed word integers in zmm3/m512, add adjacent doubleword results, and store in zmm1 under writemask k1. |
1. See note in Section 2.5, “Intel® AVX and Intel® SSE Instruction Exception Classification,” in the Intel® 64 and IA-32 Architectures Software Developer’s Manual, Volume 2A, and Section 23.25.3, “Exception Conditions of Legacy SIMD Instructions Operating on MMX Registers,” in the Intel® 64 and IA-32 Architectures Software Developer’s Manual, Volume 3B.
Instruction Operand Encoding ¶
| Op/En | Tuple Type | Operand 1 | Operand 2 | Operand 3 | Operand 4 |
|---|---|---|---|---|---|
| A | N/A | ModRM:reg (r, w) | ModRM:r/m (r) | N/A | N/A |
| B | N/A | ModRM:reg (w) | VEX.vvvv (r) | ModRM:r/m (r) | N/A |
| C | Full Mem | ModRM:reg (w) | EVEX.vvvv (r) | ModRM:r/m (r) | N/A |
Description ¶
Multiplies the individual signed words of the destination operand (first operand) by the corresponding signed words of the source operand (second operand), producing temporary signed, doubleword results. The adjacent double-word results are then summed and stored in the destination operand. For example, the corresponding low-order words (15-0) and (31-16) in the source and destination operands are multiplied by one another and the double-word results are added together and stored in the low doubleword of the destination register (31-0). The same operation is performed on the other pairs of adjacent words. (Figure 4-11 shows this operation when using 64-bit operands).
The (V)PMADDWD instruction wraps around only in one situation: when the 2 pairs of words being operated on in a group are all 8000H. In this case, the result wraps around to 80000000H.
In 64-bit mode and not encoded with VEX/EVEX, using a REX prefix in the form of REX.R permits this instruction to access additional registers (XMM8-XMM15).
Legacy SSE version: The first source and destination operands are MMX registers. The second source operand is an MMX register or a 64-bit memory location.
128-bit Legacy SSE version: The first source and destination operands are XMM registers. The second source operand is an XMM register or a 128-bit memory location. Bits (MAXVL-1:128) of the corresponding YMM destination register remain unchanged.
VEX.128 encoded version: The first source and destination operands are XMM registers. The second source operand is an XMM register or a 128-bit memory location. Bits (MAXVL-1:128) of the destination YMM register are zeroed.
VEX.256 encoded version: The second source operand can be an YMM register or a 256-bit memory location. The first source and destination operands are YMM registers.
EVEX.512 encoded version: The second source operand can be an ZMM register or a 512-bit memory location. The first source and destination operands are ZMM registers.
Operation ¶
PMADDWD (With 64-bit Operands) ¶
DEST[31:0] := (DEST[15:0] ∗ SRC[15:0]) + (DEST[31:16] ∗ SRC[31:16]); DEST[63:32] := (DEST[47:32] ∗ SRC[47:32]) + (DEST[63:48] ∗ SRC[63:48]);
PMADDWD (With 128-bit Operands) ¶
DEST[31:0] := (DEST[15:0] ∗ SRC[15:0]) + (DEST[31:16] ∗ SRC[31:16]); DEST[63:32] := (DEST[47:32] ∗ SRC[47:32]) + (DEST[63:48] ∗ SRC[63:48]); DEST[95:64] := (DEST[79:64] ∗ SRC[79:64]) + (DEST[95:80] ∗ SRC[95:80]); DEST[127:96] := (DEST[111:96] ∗ SRC[111:96]) + (DEST[127:112] ∗ SRC[127:112]);
VPMADDWD (VEX.128 Encoded Version) ¶
DEST[31:0] := (SRC1[15:0] * SRC2[15:0]) + (SRC1[31:16] * SRC2[31:16]) DEST[63:32] := (SRC1[47:32] * SRC2[47:32]) + (SRC1[63:48] * SRC2[63:48]) DEST[95:64] := (SRC1[79:64] * SRC2[79:64]) + (SRC1[95:80] * SRC2[95:80]) DEST[127:96] := (SRC1[111:96] * SRC2[111:96]) + (SRC1[127:112] * SRC2[127:112]) DEST[MAXVL-1:128] := 0
VPMADDWD (VEX.256 Encoded Version) ¶
DEST[31:0] := (SRC1[15:0] * SRC2[15:0]) + (SRC1[31:16] * SRC2[31:16]) DEST[63:32] := (SRC1[47:32] * SRC2[47:32]) + (SRC1[63:48] * SRC2[63:48]) DEST[95:64] := (SRC1[79:64] * SRC2[79:64]) + (SRC1[95:80] * SRC2[95:80]) DEST[127:96] := (SRC1[111:96] * SRC2[111:96]) + (SRC1[127:112] * SRC2[127:112]) DEST[159:128] := (SRC1[143:128] * SRC2[143:128]) + (SRC1[159:144] * SRC2[159:144]) DEST[191:160] := (SRC1[175:160] * SRC2[175:160]) + (SRC1[191:176] * SRC2[191:176]) DEST[223:192] := (SRC1[207:192] * SRC2[207:192]) + (SRC1[223:208] * SRC2[223:208]) DEST[255:224] := (SRC1[239:224] * SRC2[239:224]) + (SRC1[255:240] * SRC2[255:240]) DEST[MAXVL-1:256] := 0
VPMADDWD (EVEX Encoded Versions) ¶
(KL, VL) = (4, 128), (8, 256), (16, 512)
FOR j := 0 TO KL-1
i := j * 32
IF k1[j] OR *no writemask*
THEN DEST[i+31:i] := (SRC2[i+31:i+16]* SRC1[i+31:i+16]) + (SRC2[i+15:i]*SRC1[i+15:i])
ELSE
IF *merging-masking* ; merging-masking
THEN *DEST[i+31:i] remains unchanged*
ELSE *zeroing-masking*
; zeroing-masking
DEST[i+31:i] = 0
FI
FI;
ENDFOR;
DEST[MAXVL-1:VL] := 0
Intel C/C++ Compiler Intrinsic Equivalent ¶
VPMADDWD __m512i _mm512_madd_epi16( __m512i a, __m512i b);
VPMADDWD __m512i _mm512_mask_madd_epi16(__m512i s, __mmask32 k, __m512i a, __m512i b);
VPMADDWD __m512i _mm512_maskz_madd_epi16( __mmask32 k, __m512i a, __m512i b);
VPMADDWD __m256i _mm256_mask_madd_epi16(__m256i s, __mmask16 k, __m256i a, __m256i b);
VPMADDWD __m256i _mm256_maskz_madd_epi16( __mmask16 k, __m256i a, __m256i b);
VPMADDWD __m128i _mm_mask_madd_epi16(__m128i s, __mmask8 k, __m128i a, __m128i b);
VPMADDWD __m128i _mm_maskz_madd_epi16( __mmask8 k, __m128i a, __m128i b);
PMADDWD __m64 _mm_madd_pi16(__m64 m1, __m64 m2)
(V)PMADDWD __m128i _mm_madd_epi16 ( __m128i a, __m128i b)
VPMADDWD __m256i _mm256_madd_epi16 ( __m256i a, __m256i b)
Flags Affected ¶
None.
Numeric Exceptions ¶
None.
Other Exceptions ¶
Non-EVEX-encoded instruction, see Table 2-21, “Type 4 Class Exception Conditions.”
EVEX-encoded instruction, see Exceptions Type E4NF.nb in Table 2-50, “Type E4NF Class Exception Conditions.”