CMPPD—Compare Packed Double-Precision Floating-Point Values

Opcode/Instruction Op/En 64/32-bit Mode CPUID Feature Flag Description

66 0F C2 /r ib

CMPPD xmm1, xmm2/m128, imm8

RMI V/V SSE2 Compare packed double-precision floating-point values in xmm2/m128 and xmm1 using imm8 as comparison predicate.

VEX.NDS.128.66.0F.WIG C2 /r ib

VCMPPD xmm1, xmm2, xmm3/m128, imm8

RVMI V/V AVX Compare packed double-precision floating-point values in xmm3/m128 and xmm2 using bits 4:0 of imm8 as a comparison predicate.

VEX.NDS.256.66.0F.WIG C2 /r ib

VCMPPD ymm1, ymm2, ymm3/m256, imm8

RVMI V/V AVX Compare packed double-precision floating-point values in ymm3/m256 and ymm2 using bits 4:0 of imm8 as a comparison predicate.

Instruction Operand Encoding

Op/En Operand 1 Operand 2 Operand 3 Operand 4
RMI ModRM:reg (r, w) ModRM:r/m (r) imm8 NA
RVMI ModRM:reg (w) VEX.vvvv (r) ModRM:r/m (r) imm8

Description

Performs a SIMD compare of the packed double-precision floating-point values in the source operand (second operand) and the destination operand (first operand) and returns the results of the comparison to the destination operand. The comparison predicate operand (third operand) specifies the type of comparison performed on each of the pairs of packed values. The result of each comparison is a quadword mask of all 1s (comparison true) or all 0s (comparison false). The sign of zero is ignored for comparisons, so that –0.0 is equal to +0.0.

128-bit Legacy SSE version: The first source and destination operand (first operand) is an XMM register. The second source operand (second operand) can be an XMM register or 128-bit memory location. The comparison predicate operand is an 8-bit immediate, bits 2:0 of the immediate define the type of comparison to be performed (see Table 3-7). Bits 7:3 of the immediate is reserved. Bits (VLMAX-1:128) of the corresponding YMM destination register remain unchanged. Two comparisons are performed with results written to bits 127:0 of the destination operand.

Table 3-7. Comparison Predicate for CMPPD and CMPPS Instructions

Predi-cate imm8 Encoding Description Relation where: A Is 1st Operand B Is 2nd Operand Emulation Result if NaN Operand QNaN Oper-and Signals Invalid
EQ 000B Equal A = B False No
LT 001B Less-than A < B False Yes
LE 010B Less-than-or-equal A ≤ B False Yes
Greater than A > B Swap Operands, Use LT False Yes
Greater-than-or-equal A ≥ B Swap Operands, Use LE False Yes
UNORD 011B Unordered A, B = Unordered True No
NEQ 100B Not-equal A ≠ B True No
NLT 101B Not-less-than NOT(A < B) True Yes

Table 3-7. Comparison Predicate for CMPPD and CMPPS Instructions (Contd.)

Predi-cate imm8 Encoding Description Relation where: A Is 1st Operand B Is 2nd Operand Emulation Result if NaN Operand QNaN Oper-and Signals Invalid
NLE 110B Not-less-than-or-equal NOT(A ≤ B) True Yes
Not-greater-than NOT(A > B) Swap Operands, Use NLT True Yes
Not-greater-than-or-equal NOT(A ≥ B) Swap Operands, Use NLE True Yes
ORD 111B Ordered A , B = Ordered False No

The unordered relationship is true when at least one of the two source operands being compared is a NaN; the ordered relationship is true when neither source operand is a NaN.

A subsequent computational instruction that uses the mask result in the destination operand as an input operand will not generate an exception, because a mask of all 0s corresponds to a floating-point value of +0.0 and a mask of all 1s corresponds to a QNaN.

Note that the processors with “CPUID.1H:ECX.AVX =0” do not implement the greater-than, greater-than-or-equal, not-greater-than, and not-greater-than-or-equal relations. These comparisons can be made either by using the inverse relationship (that is, use the “not-less-than-or-equal” to make a “greater-than” comparison) or by using software emulation. When using software emulation, the program must swap the operands (copying registers when necessary to protect the data that will now be in the destination), and then perform the compare using a different predicate. The predicate to be used for these emulations is listed in Table 3-7 under the heading Emula-tion.

Compilers and assemblers may implement the following two-operand pseudo-ops in addition to the three-operand CMPPD instruction, for processors with “CPUID.1H:ECX.AVX =0”. See Table 3-8. Compiler should treat reserved Imm8 values as illegal syntax.

Table 3-8. Pseudo-Op and CMPPD Implementation

:

Pseudo-Op CMPPD Implementation
CMPEQPD xmm1, xmm2 CMPPD xmm1, xmm2, 0
CMPLTPD xmm1, xmm2 CMPPD xmm1, xmm2, 1
CMPLEPD xmm1, xmm2 CMPPD xmm1, xmm2, 2
CMPUNORDPD xmm1, xmm2 CMPPD xmm1, xmm2, 3
CMPNEQPD xmm1, xmm2 CMPPD xmm1, xmm2, 4
CMPNLTPD xmm1, xmm2 CMPPD xmm1, xmm2, 5
CMPNLEPD xmm1, xmm2 CMPPD xmm1, xmm2, 6
CMPORDPD xmm1, xmm2 CMPPD xmm1, xmm2, 7

The greater-than relations that the processor does not implement, require more than one instruction to emulate in software and therefore should not be implemented as pseudo-ops. (For these, the programmer should reverse the operands of the corresponding less than relations and use move instructions to ensure that the mask is moved to the correct destination register and that the source operand is left intact.)

In 64-bit mode, use of the REX.R prefix permits this instruction to access additional registers (XMM8-XMM15).

Enhanced Comparison Predicate for VEX-Encoded VCMPPD

VEX.128 encoded version: The first source operand (second operand) is an XMM register. The second source operand (third operand) can be an XMM register or a 128-bit memory location. Bits (VLMAX-1:128) of the destina-tion YMM register are zeroed. Two comparisons are performed with results written to bits 127:0 of the destination operand.

VEX.256 encoded version: The first source operand (second operand) is a YMM register. The second source operand (third operand) can be a YMM register or a 256-bit memory location. The destination operand (first operand) is a YMM register. Four comparisons are performed with results written to the destination operand.

The comparison predicate operand is an 8-bit immediate:

Table 3-9. Comparison Predicate for VCMPPD and VCMPPS Instructions

Predicate

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

A >B A < B A = B Unordered1 on QNAN
EQ_OQ (EQ) 0H Equal (ordered, non-signaling) False False True False No
LT_OS (LT) 1H Less-than (ordered, signaling) False True False False Yes
LE_OS (LE) 2H Less-than-or-equal (ordered, signaling) False True True False Yes
UNORD_Q (UNORD) 3H Unordered (non-signaling) False False False True No
NEQ_UQ (NEQ) 4H Not-equal (unordered, non-signaling) True True False True No
NLT_US (NLT) 5H Not-less-than (unordered, signaling) True False True True Yes
NLE_US (NLE) 6H Not-less-than-or-equal (unordered, signaling) True False False True Yes
ORD_Q (ORD) 7H Ordered (non-signaling) True True True False No
EQ_UQ 8H Equal (unordered, non-signaling) False False True True No
NGE_US (NGE) 9H Not-greater-than-or-equal (unordered, signaling) False True False True Yes
NGT_US (NGT) AH Not-greater-than (unordered, sig-naling) False True True True Yes
FALSE_OQ(FALSE) BH False (ordered, non-signaling) False False False False No
NEQ_OQ CH Not-equal (ordered, non-signaling) True True False False No
GE_OS (GE) DH Greater-than-or-equal (ordered, sig-naling) True False True False Yes
GT_OS (GT) EH Greater-than (ordered, signaling) True False False False Yes
TRUE_UQ(TRUE) FH True (unordered, non-signaling) True True True True No
EQ_OS 10H Equal (ordered, signaling) False False True False Yes
LT_OQ 11H Less-than (ordered, nonsignaling) False True False False No
LE_OQ 12H Less-than-or-equal (ordered, non-signaling) False True True False No
UNORD_S 13H Unordered (signaling) False False False True Yes
NEQ_US 14H Not-equal (unordered, signaling) True True False True Yes
NLT_UQ 15H Not-less-than (unordered, nonsig-naling) True False True True No
NLE_UQ 16H Not-less-than-or-equal (unordered, nonsignaling) True False False True No
ORD_S 17H Ordered (signaling) True True True False Yes
EQ_US 18H Equal (unordered, signaling) False False True True Yes

Table 3-9. Comparison Predicate for VCMPPD and VCMPPS Instructions (Contd.)

Predicate

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

imm8

Description

Result: A Is 1st Operand, B Is 2nd Operand

Signals #IA

Value

A >B A < B A = B Unordered1 on QNAN
NGE_UQ 19H Not-greater-than-or-equal (unor-dered, nonsignaling) False True False True No
NGT_UQ 1AH Not-greater-than (unordered, non-signaling) False True True True No
FALSE_OS 1BH False (ordered, signaling) False False False False Yes
NEQ_OS 1CH Not-equal (ordered, signaling) True True False False Yes
GE_OQ 1DH Greater-than-or-equal (ordered, nonsignaling) True False True False No
GT_OQ 1EH Greater-than (ordered, nonsignal-ing) True False False False No
TRUE_US 1FH True (unordered, signaling) True True True True Yes

NOTES:

1. If either operand A or B is a NAN.

Processors with “CPUID.1H:ECX.AVX =1” implement the full complement of 32 predicates shown in Table 3-9, soft-ware emulation is no longer needed. Compilers and assemblers may implement the following three-operand pseudo-ops in addition to the four-operand VCMPPD instruction. See Table 3-10, where the notations of reg1 reg2, and reg3 represent either XMM registers or YMM registers. Compiler should treat reserved Imm8 values as illegal syntax. Alternately, intrinsics can map the pseudo-ops to pre-defined constants to support a simpler intrinsic inter-face.

Table 3-10. Pseudo-Op and VCMPPD Implementation

:

Pseudo-Op CMPPD Implementation
VCMPEQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0
VCMPLTPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1
VCMPLEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 2
VCMPUNORDPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 3
VCMPNEQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 4
VCMPNLTPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 5
VCMPNLEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 6
VCMPORDPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 7
VCMPEQ_UQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 8
VCMPNGEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 9
VCMPNGTPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0AH
VCMPFALSEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0BH
VCMPNEQ_OQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0CH
VCMPGEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0DH
VCMPGTPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0EH
VCMPTRUEPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 0FH
VCMPEQ_OSPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 10H
VCMPLT_OQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 11H
VCMPLE_OQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 12H

Table 3-10. Pseudo-Op and VCMPPD Implementation

Pseudo-Op CMPPD Implementation
VCMPUNORD_SPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 13H
VCMPNEQ_USPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 14H
VCMPNLT_UQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 15H
VCMPNLE_UQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 16H
VCMPORD_SPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 17H
VCMPEQ_USPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 18H
VCMPNGE_UQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 19H
VCMPNGT_UQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1AH
VCMPFALSE_OSPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1BH
VCMPNEQ_OSPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1CH
VCMPGE_OQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1DH
VCMPGT_OQPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1EH
VCMPTRUE_USPD reg1, reg2, reg3 VCMPPD reg1, reg2, reg3, 1FH

Operation

CASE (COMPARISON PREDICATE) OF

0: OP3 ← EQ_OQ; OP5 ← EQ_OQ; 1: OP3 ← LT_OS; OP5 ← LT_OS; 2: OP3 ← LE_OS; OP5 ← LE_OS; 3: OP3 ← UNORD_Q; OP5 ← UNORD_Q; 4: OP3 ← NEQ_UQ; OP5 ← NEQ_UQ; 5: OP3 ← NLT_US; OP5 ← NLT_US; 6: OP3 ← NLE_US; OP5 ← NLE_US; 7: OP3 ← ORD_Q; OP5 ← ORD_Q; 8: OP5 ← EQ_UQ; 9: OP5 ← NGE_US; 10: OP5 ← NGT_US; 11: OP5 ← FALSE_OQ; 12: OP5 ← NEQ_OQ; 13: OP5 ← GE_OS; 14: OP5 ← GT_OS; 15: OP5 ← TRUE_UQ; 16: OP5 ← EQ_OS; 17: OP5 ← LT_OQ; 18: OP5 ← LE_OQ; 19: OP5 ← UNORD_S; 20: OP5 ← NEQ_US; 21: OP5 ← NLT_UQ; 22: OP5 ← NLE_UQ; 23: OP5 ← ORD_S; 24: OP5 ← EQ_US; 25: OP5 ← NGE_UQ; 26: OP5 ← NGT_UQ; 27: OP5 ← FALSE_OS; 28: OP5 ← NEQ_OS; 29: OP5 ← GE_OQ;

30: OP5 ← GT_OQ; 31: OP5 ← TRUE_US; DEFAULT: Reserved;

CMPPD (128-bit Legacy SSE version)

CMP0 ← SRC1[63:0] OP3 SRC2[63:0];
CMP1 ← SRC1[127:64] OP3 SRC2[127:64];
IF CMP0 = TRUE
    THEN DEST[63:0] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[63:0] ← 0000000000000000H; FI;
IF CMP1 = TRUE
    THEN DEST[127:64] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[127:64] ← 0000000000000000H; FI;
DEST[VLMAX-1:128] (Unmodified)

VCMPPD (VEX.128 encoded version)

CMP0 ← SRC1[63:0] OP5 SRC2[63:0];
CMP1 ← SRC1[127:64] OP5 SRC2[127:64];
IF CMP0 = TRUE
    THEN DEST[63:0] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[63:0] ← 0000000000000000H; FI;
IF CMP1 = TRUE
    THEN DEST[127:64] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[127:64] ← 0000000000000000H; FI;
DEST[VLMAX-1:128] ← 0

VCMPPD (VEX.256 encoded version)

CMP0 ← SRC1[63:0] OP5 SRC2[63:0];
CMP1 ← SRC1[127:64] OP5 SRC2[127:64];
CMP2 ← SRC1[191:128] OP5 SRC2[191:128];
CMP3 ← SRC1[255:192] OP5 SRC2[255:192];
IF CMP0 = TRUE
    THEN DEST[63:0] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[63:0] ← 0000000000000000H; FI;
IF CMP1 = TRUE
    THEN DEST[127:64] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[127:64] ← 0000000000000000H; FI;
IF CMP2 = TRUE
    THEN DEST[191:128] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[191:128] ← 0000000000000000H; FI;
IF CMP3 = TRUE
    THEN DEST[255:192] ← FFFFFFFFFFFFFFFFH;
    ELSE DEST[255:192] ← 0000000000000000H; FI;

Intel C/C++ Compiler Intrinsic Equivalents

CMPPD for equality:

__m128d _mm_cmpeq_pd(__m128d a, __m128d b)

CMPPD for less-than:

__m128d _mm_cmplt_pd(__m128d a, __m128d b)

CMPPD for less-than-or-equal: __m128d _mm_cmple_pd(__m128d a, __m128d b)

CMPPD for greater-than:

__m128d _mm_cmpgt_pd(__m128d a, __m128d b)

CMPPD for greater-than-or-equal:

__m128d _mm_cmpge_pd(__m128d a, __m128d b)

CMPPD for inequality:

__m128d _mm_cmpneq_pd(__m128d a, __m128d b)

CMPPD for not-less-than:

__m128d _mm_cmpnlt_pd(__m128d a, __m128d b)

CMPPD for not-greater-than:

__m128d _mm_cmpngt_pd(__m128d a, __m128d b)

CMPPD for not-greater-than-or-equal:

__m128d _mm_cmpnge_pd(__m128d a, __m128d b)

CMPPD for ordered:

__m128d _mm_cmpord_pd(__m128d a, __m128d b)

CMPPD for unordered:

__m128d _mm_cmpunord_pd(__m128d a, __m128d b)

CMPPD for not-less-than-or-equal:

__m128d _mm_cmpnle_pd(__m128d a, __m128d b)

VCMPPD:

__m256 _mm256_cmp_pd(__m256 a, __m256 b, const int imm)

VCMPPD:

__m128 _mm_cmp_pd(__m128 a, __m128 b, const int imm)

SIMD Floating-Point Exceptions

Invalid if SNaN operand and invalid if QNaN and predicate as listed in above table, Denormal.

Other Exceptions

See Exceptions Type 2.