rsqrtss

Reciprocal Square Root Scalar Single-Precision

RSQRTSS xmm1, xmm2/m32

Computes approximate reciprocal sqrt (1/sqrt(x)) of low float.

Pseudocode Operation

xmm1[0:31] ← 1.0 / sqrt(src[0:31]); xmm1[32:127] ← xmm1[32:127];

Encoding

Binary Layout
F3
+0
0F
+1
52
+2
 
Format SSE
Opcode F3 0F 52
Extension SSE

Operands

  • dest
    128-bit XMM SIMD register
  • src
    128-bit XMM SIMD register or Memory operand

Related

More in SSE

Instruction Forms

Opcode Instruction Op/En 64/32-bit Mode CPUID Description
F3 0F 52 /r RSQRTSS xmm1, xmm2/m32 RM V/V SSE Computes the approximate reciprocal of the square root of the low single precision floating-point value in xmm2/m32 and stores the results in xmm1.
VEX.LIG.F3.0F.WIG 52 /r VRSQRTSS xmm1, xmm2, xmm3/m32 AVX RVM V/V Computes the approximate reciprocal of the square root of the low single precision floating-point value in xmm3/m32 and stores the results in xmm1. Also, upper single precision floating-point values (bits[127:32]) from xmm2 are copied to xmm1[127:32].

Description

Computes an approximate reciprocal of the square root of the low single precision floating-point value in the source operand (second operand) stores the single precision floating-point result in the destination operand. The source operand can be an XMM register or a 32-bit memory location. The destination operand is an XMM register. The three high-order doublewords of the destination operand remain unchanged. See Figure 10-6 in the Intel® 64 and IA-32 Architectures Software Developer’s Manual, Volume 1, for an illustration of a scalar single precision floatingpoint operation. The relative error for this approximation is: |Relative Error| ≤ 1.5 ∗ 2-12 The RSQRTSS instruction is not affected by the rounding control bits in the MXCSR register. When a source value is a 0.0, an ∞ of the sign of the source value is returned. A denormal source value is treated as a 0.0 (of the same sign). When a source value is a negative value (other than -0.0), a floating-point indefinite is returned. When a source value is an SNaN or QNaN, the SNaN is converted to a QNaN or the source QNaN is returned. In 64-bit mode, using a REX prefix in the form of REX.R permits this instruction to access additional registers (XMM8-XMM15). 128-bit Legacy SSE version: The first source operand and the destination operand are the same. Bits (MAXVL1:32) of the corresponding YMM destination register remain unchanged. VEX.128 encoded version: Bits (MAXVL-1:128) of the destination YMM register are zeroed.

Operation

RSQRTSS (128-bit Legacy SSE Version)
DEST[31:0] := APPROXIMATE(1/SQRT(SRC2[31:0]))
DEST[MAXVL-1:32] (Unmodified)

VRSQRTSS (VEX.128 Encoded Version)
DEST[31:0] := APPROXIMATE(1/SQRT(SRC2[31:0]))
DEST[127:32] := SRC1[127:32]
DEST[MAXVL-1:128] := 0

Intel C/C++ Compiler Intrinsic Equivalent

RSQRTSS __m128 _mm_rsqrt_ss(__m128 a)

Exceptions

SIMD Floating-Point Exceptions

None.

Other Exceptions

See Table 2-22, “Type 5 Class Exception Conditions.” RSQRTSS-Compute Reciprocal of Square Root of Scalar Single Precision Floating-Point Value Vol. 2B 4-597