1.3.6. Bfloat16 Math Functions

[Bfloat16 Precision Intrinsics]

To use these functions, include the header file cuda_bf16.h in your program.

Functions

__device__ ​ __nv_bfloat16 hceil ( const __nv_bfloat16 h )
Calculate ceiling of the input argument.
__device__ ​ __nv_bfloat16 hcos ( const __nv_bfloat16 a )
Calculates nv_bfloat16 cosine in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hexp ( const __nv_bfloat16 a )
Calculates nv_bfloat16 natural exponential function in round-to-nearest mode.
__device__ ​ __nv_bfloat16 hexp10 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 decimal exponential function in round-to-nearest mode.
__device__ ​ __nv_bfloat16 hexp2 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 binary exponential function in round-to-nearest mode.
__device__ ​ __nv_bfloat16 hfloor ( const __nv_bfloat16 h )
Calculate the largest integer less than or equal to h.
__device__ ​ __nv_bfloat16 hlog ( const __nv_bfloat16 a )
Calculates nv_bfloat16 natural logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hlog10 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 decimal logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hlog2 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 binary logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hrcp ( const __nv_bfloat16 a )
Calculates nv_bfloat16 reciprocal in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hrint ( const __nv_bfloat16 h )
Round input to nearest integer value in nv_bfloat16 floating-point number.
__device__ ​ __nv_bfloat16 hrsqrt ( const __nv_bfloat16 a )
Calculates nv_bfloat16 reciprocal square root in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hsin ( const __nv_bfloat16 a )
Calculates nv_bfloat16 sine in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 hsqrt ( const __nv_bfloat16 a )
Calculates nv_bfloat16 square root in round-to-nearest-even mode.
__device__ ​ __nv_bfloat16 htrunc ( const __nv_bfloat16 h )
Truncate input argument to the integral part.

Functions

__device__ ​ __nv_bfloat16 hceil ( const __nv_bfloat16 h )
Calculate ceiling of the input argument.
Parameters
h
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The smallest integer value not less than h.

Description

Compute the smallest integer value not less than h.

__device__ ​ __nv_bfloat16 hcos ( const __nv_bfloat16 a )
Calculates nv_bfloat16 cosine in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The cosine of a.

Description

Calculates nv_bfloat16 cosine of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hexp ( const __nv_bfloat16 a )
Calculates nv_bfloat16 natural exponential function in round-to-nearest mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The natural exponential function on a.

Description

Calculates nv_bfloat16 natural exponential function of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hexp10 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 decimal exponential function in round-to-nearest mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The decimal exponential function on a.

Description

Calculates nv_bfloat16 decimal exponential function of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hexp2 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 binary exponential function in round-to-nearest mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The binary exponential function on a.

Description

Calculates nv_bfloat16 binary exponential function of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hfloor ( const __nv_bfloat16 h )
Calculate the largest integer less than or equal to h.
Parameters
h
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The largest integer value which is less than or equal to h.

Description

Calculate the largest integer value which is less than or equal to h.

__device__ ​ __nv_bfloat16 hlog ( const __nv_bfloat16 a )
Calculates nv_bfloat16 natural logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The natural logarithm of a.

Description

Calculates nv_bfloat16 natural logarithm of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hlog10 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 decimal logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The decimal logarithm of a.

Description

Calculates nv_bfloat16 decimal logarithm of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hlog2 ( const __nv_bfloat16 a )
Calculates nv_bfloat16 binary logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The binary logarithm of a.

Description

Calculates nv_bfloat16 binary logarithm of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hrcp ( const __nv_bfloat16 a )
Calculates nv_bfloat16 reciprocal in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The reciprocal of a.

Description

Calculates nv_bfloat16 reciprocal of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hrint ( const __nv_bfloat16 h )
Round input to nearest integer value in nv_bfloat16 floating-point number.
Parameters
h
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The nearest integer to h.

Description

Round h to the nearest integer value in nv_bfloat16 floating-point format, with bfloat16way cases rounded to the nearest even integer value.

__device__ ​ __nv_bfloat16 hrsqrt ( const __nv_bfloat16 a )
Calculates nv_bfloat16 reciprocal square root in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The reciprocal square root of a.

Description

Calculates nv_bfloat16 reciprocal square root of input a in round-to-nearest mode.

__device__ ​ __nv_bfloat16 hsin ( const __nv_bfloat16 a )
Calculates nv_bfloat16 sine in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The sine of a.

Description

Calculates nv_bfloat16 sine of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 hsqrt ( const __nv_bfloat16 a )
Calculates nv_bfloat16 square root in round-to-nearest-even mode.
Parameters
a
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The square root of a.

Description

Calculates nv_bfloat16 square root of input a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat16 htrunc ( const __nv_bfloat16 h )
Truncate input argument to the integral part.
Parameters
h
- nv_bfloat16. Is only being read.
Returns

nv_bfloat16

  • The truncated integer value.

Description

Round h to the nearest integer value that does not exceed h in magnitude.