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SQRT, RSQRT, HALF_SQ(3clc) | OpenCL Manual | SQRT, RSQRT, HALF_SQ(3clc) |

# NAME¶

sqrt,_rsqrt,_half_sqrt,_native_sqrt,_half_sqrt,_native_sqrt - Square root functions.# ¶

**gentype sqrt(gentype**

**);**

**gentype half_sqrt(gentype**

*x*

**);**

**gentype native_sqrt(gentype**

*x*

**);**

**gentype rsqrt(gentype**

**);**

**gentype half_rsqrt(gentype**

*x*

**);**

**gentype native_rsqrt(gentype**

*x*

**);**

# DESCRIPTION¶

**sqrt**computes square root.

**half_sqrt**computes square root.

**native_sqrt**computes square root over an implementation-defined range. The maximum error is implementation-defined.

**rsqrt**computes inverse square root.

**half_rsqrt**computes inverse square root.

**native_rsqrt**computes inverse square root over an implementation-defined range. The maximum error is implementation-defined.

# NOTES¶

The vector versions of the math functions operate component-wise. The description is per-component. The built-in math functions are not affected by the prevailing rounding mode in the calling environment, and always return the same value as they would if called with the round to nearest even rounding mode. The built-in math functions take scalar or vector arguments. For any specific use of these function, the actual type has to be the same for all arguments and the return type unless otherwise specified. The generic type name**gentype**is used to indicate that the function can take

**float**,

**float2**,

**float3**,

**float4**,

**float8**,

**float16**,

**double**,

**double2**,

**double3**,

**double4**,

**double8**, or

**double16**as the type for the arguments. If extended with

**cl_khr_fp16**(3clc), generic type name

**gentype**may indicate

**half**and

**half{2|3|4|8|16}**as arguments and return values. The generic type name

**gentypef**is used to indicate that the function can take

**float**,

**float2**,

**float3**,

**float4**,

**float8**, or

**float16**as the type for the arguments. The generic type name

**gentyped**is used to indicate that the function can take

**double**,

**double2**,

**double3**,

**double4**,

**double8**, or

**double16**as the type for the arguments. Functions with the

**half_**prefix are implemented with a minimum of 10-bits of accuracy i.e. an ULP value less than or equal to 8192 ulp. Functions with the

**native_**prefix may map to one or more native device instructions and will typically have better performance compared to the corresponding functions (without the

**native__**prefix). The accuracy (and in some cases the input range(s)) of these functions is implementation-defined.

# SPECIFICATION¶

**OpenCL Specification**[1]

# SEE ALSO¶

**mathFunctions**(3clc)

# AUTHORS¶

**The Khronos Group**

# COPYRIGHT¶

Copyright © 2007-2011 The Khronos Group Inc.# NOTES¶

- 1.
- OpenCL Specification

page 244, section 6.12.2 - Math Functions

06/18/2014 | The Khronos Group |