Opcode*/Instruction | Op/En | 64/32 bit Mode Support | CPUID Feature Flag | Description |

0F 52 /r RSQRTPS xmm1, xmm2/m128 |
RM | V/V | SSE | Computes the approximate reciprocals of the square roots of the packed single-precision floating-point values in xmm2/m128 and stores the results in xmm1. |

VEX.128.0F.WIG 52 /r VRSQRTPS xmm1, xmm2/m128 |
RM | V/V | AVX | Computes the approximate reciprocals of the square roots of packed single-precision values in xmm2/mem and stores the results in xmm1. |

VEX.256.0F.WIG 52 /r VRSQRTPS ymm1, ymm2/m256 |
RM | V/V | AVX | Computes the approximate reciprocals of the square roots of packed single-precision values in ymm2/mem and stores the results in ymm1. |

Op/En | Operand 1 | Operand 2 | Operand 3 | Operand 4 |

RM | ModRM:reg (w) | ModRM:r/m (r) | NA | NA |

Performs a SIMD computation of the approximate reciprocals of the square roots of the four packed single-precision floating-point values in the source operand (second operand) and stores the packed single-precision floatingpoint results in the destination operand. The source operand can be an XMM register or a 128-bit memory location. The destination operand is an XMM register. See Figure 10-5 in the *Intel® 64 and IA-32 Architectures Software* *Developer’s Manual, Volume 1, for an illustration of a SIMD single-precision floating-point operation.*

The relative error for this approximation is:

|Relative Error| ≤ 1.5 ∗ 2−12

The RSQRTPS 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 second source can be an XMM register or an 128-bit memory location. The destination is not distinct from the first source XMM register and the upper bits (VLMAX-1:128) of the corresponding YMM register destination are unmodified. VEX.128 encoded version: the first source operand is an XMM register or 128-bit memory location. The destination operand is an XMM register. The upper bits (VLMAX-1:128) of the corresponding YMM register destination are zeroed. VEX.256 encoded version: The first source operand is a YMM register. The second source operand can be a YMM register or a 256-bit memory location. The destination operand is a YMM register. Note: In VEX-encoded versions, VEX.vvvv is reserved and must be 1111b, otherwise instructions will #UD.

RSQRTPS (128-bit Legacy SSE version) DEST[31:0] ← APPROXIMATE(1/SQRT(SRC[31:0])) DEST[63:32] ← APPROXIMATE(1/SQRT(SRC1[63:32])) DEST[95:64] ← APPROXIMATE(1/SQRT(SRC1[95:64])) DEST[127:96] ← APPROXIMATE(1/SQRT(SRC2[127:96])) DEST[VLMAX-1:128] (Unmodified) VRSQRTPS (VEX.128 encoded version) DEST[31:0] ← APPROXIMATE(1/SQRT(SRC[31:0])) DEST[63:32] ← APPROXIMATE(1/SQRT(SRC1[63:32])) DEST[95:64] ← APPROXIMATE(1/SQRT(SRC1[95:64])) DEST[127:96] ← APPROXIMATE(1/SQRT(SRC2[127:96])) DEST[VLMAX-1:128] ← 0 VRSQRTPS (VEX.256 encoded version) DEST[31:0] ← APPROXIMATE(1/SQRT(SRC[31:0])) DEST[63:32] ← APPROXIMATE(1/SQRT(SRC1[63:32])) DEST[95:64] ← APPROXIMATE(1/SQRT(SRC1[95:64])) DEST[127:96] ← APPROXIMATE(1/SQRT(SRC2[127:96])) DEST[159:128] ← APPROXIMATE(1/SQRT(SRC2[159:128])) DEST[191:160] ← APPROXIMATE(1/SQRT(SRC2[191:160])) DEST[223:192] ← APPROXIMATE(1/SQRT(SRC2[223:192])) DEST[255:224] ← APPROXIMATE(1/SQRT(SRC2[255:224]))

RSQRTPS: | __m128 _mm_rsqrt_ps(__m128 a) |

RSQRTPS: | __m256 _mm256_rsqrt_ps (__m256 a); |

None.

See Exceptions Type 4; additionally

#UD | If VEX.vvvv != 1111B. |