sqrtps

Square Root Packed Single-Precision

SQRTPS xmm, xmm/m128

Computes square root of four 32-bit floats.

Pseudocode Operation

dest[31:0] ← sqrt(src[31:0]);
dest[63:32] ← sqrt(src[63:32]);
dest[95:64] ← sqrt(src[95:64]);
dest[127:96] ← sqrt(src[127:96]);

Example

SQRTPS xmm0, xmm1

Encoding

Binary Layout
0F
+0
51
+1
 
Format SSE
Opcode NP 0F 51 /r
Extension SSE

Operands

  • dest
    128-bit SSE/AVX register (XMM)
  • src
    128-bit XMM register or 128-bit memory

Related

More in SSE

Instruction Forms

Opcode Instruction Op/En 64/32-bit Mode CPUID Description
NP 0F 51 /r SQRTPS xmm1, xmm2/m128 A V/V SSE Computes Square Roots of the packed single precision floating-point values in xmm2/m128 and stores the result in xmm1.
VEX.128.0F.WIG 51 /r VSQRTPS xmm1, xmm2/m128 A V/V AVX Computes Square Roots of the packed single precision floating-point values in xmm2/m128 and stores the result in xmm1.
VEX.256.0F.WIG 51/r VSQRTPS ymm1, ymm2/m256 A V/V AVX Computes Square Roots of the packed single precision floating-point values in ymm2/m256 and stores the result in ymm1.
EVEX.128.0F.W0 51 /r VSQRTPS xmm1 {k1}{z}, xmm2/m128/m32bcst B V/V (AVX512VL AND AVX512F) OR AVX10.1 Computes Square Roots of the packed single precision floating-point values in xmm2/m128/m32bcst and stores the result in xmm1 subject to writemask k1.
EVEX.256.0F.W0 51 /r VSQRTPS ymm1 {k1}{z}, ymm2/m256/m32bcst B V/V (AVX512VL AND AVX512F) OR AVX10.1 Computes Square Roots of the packed single precision floating-point values in ymm2/m256/m32bcst and stores the result in ymm1 subject to writemask k1.
EVEX.512.0F.W0 51/r VSQRTPS zmm1 {k1}{z}, zmm2/m512/m32bcst{er} B V/V AVX512F OR AVX10.1 Computes Square Roots of the packed single precision floating-point values in zmm2/m512/m32bcst and stores the result in zmm1 subject to writemask k1.

Instruction Operand Encoding

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

Description

Performs a SIMD computation of the square roots of the four, eight or sixteen packed single precision floating-point values in the source operand (second operand) stores the packed single precision floating-point results in the destination operand. EVEX.512 encoded versions: The source operand is a ZMM/YMM/XMM register, a 512/256/128-bit memory location or a 512/256/128-bit vector broadcasted from a 32-bit memory location. The destination operand is a ZMM/YMM/XMM register updated according to the writemask. VEX.256 encoded version: The source operand is a YMM register or a 256-bit memory location. The destination operand is a YMM register. The upper bits (MAXVL-1:256) of the corresponding ZMM register destination are zeroed. VEX.128 encoded version: the source operand second source operand or a 128-bit memory location. The destination operand is an XMM register. The upper bits (MAXVL-1:128) of the corresponding ZMM register destination are zeroed. 128-bit Legacy SSE version: The second source can be an XMM register or 128-bit memory location. The destination is not distinct from the first source XMM register and the upper bits (MAXVL-1:128) of the corresponding ZMM register destination are unmodified. Note: VEX.vvvv and EVEX.vvvv are reserved and must be 1111b otherwise instructions will #UD.

Operation

VSQRTPS (EVEX Encoded Versions)
(KL, VL) = (4, 128), (8, 256), (16, 512)
IF (VL = 512) AND (EVEX.b = 1) AND (SRC *is register*)
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 * 32
IF k1[j] OR *no writemask* THEN
IF (EVEX.b = 1) AND (SRC *is memory*)
THEN DEST[i+31:i] := SQRT(SRC[31:0])
ELSE DEST[i+31:i] := SQRT(SRC[i+31:i])
FI;
ELSE
IF *merging-masking*                                 ; merging-masking
THEN *DEST[i+31:i] remains unchanged*
ELSE                                                         ; zeroing-masking
DEST[i+31:i] := 0
FI
FI;
ENDFOR
DEST[MAXVL-1:VL] := 0

VSQRTPS (VEX.256 Encoded Version)
DEST[31:0] := SQRT(SRC[31:0])
DEST[63:32] := SQRT(SRC[63:32])
DEST[95:64] := SQRT(SRC[95:64])
DEST[127:96] := SQRT(SRC[127:96])
DEST[159:128] := SQRT(SRC[159:128])
DEST[191:160] := SQRT(SRC[191:160])
DEST[223:192] := SQRT(SRC[223:192])
DEST[255:224] := SQRT(SRC[255:224])

VSQRTPS (VEX.128 Encoded Version)
DEST[31:0] := SQRT(SRC[31:0])
DEST[63:32] := SQRT(SRC[63:32])
DEST[95:64] := SQRT(SRC[95:64])
DEST[127:96] := SQRT(SRC[127:96])
DEST[MAXVL-1:128] := 0

SQRTPS (128-bit Legacy SSE Version)
DEST[31:0] := SQRT(SRC[31:0])
DEST[63:32] := SQRT(SRC[63:32])
DEST[95:64] := SQRT(SRC[95:64])
DEST[127:96] := SQRT(SRC[127:96])
DEST[MAXVL-1:128] (Unmodified)

Intel C/C++ Compiler Intrinsic Equivalent

VSQRTPS __m512 _mm512_sqrt_round_ps(__m512 a, int r);
VSQRTPS __m512 _mm512_mask_sqrt_round_ps(__m512 s, __mmask16 k, __m512 a, int r);
VSQRTPS __m512 _mm512_maskz_sqrt_round_ps( __mmask16 k, __m512 a, int r);
VSQRTPS __m256 _mm256_sqrt_ps (__m256 a);
VSQRTPS __m256 _mm256_mask_sqrt_ps(__m256 s, __mmask8 k, __m256 a, int r);
VSQRTPS __m256 _mm256_maskz_sqrt_ps( __mmask8 k, __m256 a, int r);
SQRTPS __m128 _mm_sqrt_ps (__m128 a);
VSQRTPS __m128 _mm_mask_sqrt_ps(__m128 s, __mmask8 k, __m128 a, int r);
VSQRTPS __m128 _mm_maskz_sqrt_ps( __mmask8 k, __m128 a, int r);

Exceptions

SIMD Floating-Point Exceptions

Invalid, Precision, Denormal.

Other Exceptions

Non-EVEX-encoded instruction, see Table 2-19, “Type 2 Class Exception Conditions,” additionally: #UD If VEX.vvvv != 1111B. EVEX-encoded instruction, see Table 2-48, “Type E2 Class Exception Conditions,” additionally: #UD If EVEX.vvvv != 1111B. SQRTPS-Square Root of Single Precision Floating-Point Values Vol. 2B 4-665