1.2.7. Bfloat162 Math Functions

[Bfloat16 Precision Intrinsics]

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

Functions

__device__ ​ __nv_bfloat162 h2ceil ( const __nv_bfloat162 h )
Calculate nv_bfloat162 vector ceiling of the input argument.
__device__ ​ __nv_bfloat162 h2cos ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector cosine in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2exp ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector exponential function in round-to-nearest mode.
__device__ ​ __nv_bfloat162 h2exp10 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector decimal exponential function in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2exp2 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector binary exponential function in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2floor ( const __nv_bfloat162 h )
Calculate the largest integer less than or equal to h.
__device__ ​ __nv_bfloat162 h2log ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector natural logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2log10 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector decimal logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2log2 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector binary logarithm in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2rcp ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector reciprocal in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2rint ( const __nv_bfloat162 h )
Round input to nearest integer value in nv_bfloat16 floating-point number.
__device__ ​ __nv_bfloat162 h2rsqrt ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector reciprocal square root in round-to-nearest mode.
__device__ ​ __nv_bfloat162 h2sin ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector sine in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2sqrt ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector square root in round-to-nearest-even mode.
__device__ ​ __nv_bfloat162 h2trunc ( const __nv_bfloat162 h )
Truncate nv_bfloat162 vector input argument to the integral part.

Functions

__device__ ​ __nv_bfloat162 h2ceil ( const __nv_bfloat162 h )
Calculate nv_bfloat162 vector ceiling of the input argument.
Parameters
h
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    vector of smallest integers not less than h.

Description

For each component of vector h compute the smallest integer value not less than h.

__device__ ​ __nv_bfloat162 h2cos ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector cosine in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise cosine on vector a.

Description

Calculates nv_bfloat162 cosine of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2exp ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector exponential function in round-to-nearest mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise exponential function on vector a.

Description

Calculates nv_bfloat162 exponential function of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2exp10 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector decimal exponential function in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise decimal exponential function on vector a.

Description

Calculates nv_bfloat162 decimal exponential function of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2exp2 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector binary exponential function in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise binary exponential function on vector a.

Description

Calculates nv_bfloat162 binary exponential function of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2floor ( const __nv_bfloat162 h )
Calculate the largest integer less than or equal to h.
Parameters
h
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    vector of largest integers which is less than or equal to h.

Description

For each component of vector h calculate the largest integer value which is less than or equal to h.

__device__ ​ __nv_bfloat162 h2log ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector natural logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise natural logarithm on vector a.

Description

Calculates nv_bfloat162 natural logarithm of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2log10 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector decimal logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise decimal logarithm on vector a.

Description

Calculates nv_bfloat162 decimal logarithm of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2log2 ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector binary logarithm in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise binary logarithm on vector a.

Description

Calculates nv_bfloat162 binary logarithm of input vector a in round-to-nearest mode.

__device__ ​ __nv_bfloat162 h2rcp ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector reciprocal in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise reciprocal on vector a.

Description

Calculates nv_bfloat162 reciprocal of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2rint ( const __nv_bfloat162 h )
Round input to nearest integer value in nv_bfloat16 floating-point number.
Parameters
h
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    vector of rounded integer values.

Description

Round each component of nv_bfloat162 vector h to the nearest integer value in nv_bfloat16 floating-point format, with bfloat16way cases rounded to the nearest even integer value.

__device__ ​ __nv_bfloat162 h2rsqrt ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector reciprocal square root in round-to-nearest mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise reciprocal square root on vector a.

Description

Calculates nv_bfloat162 reciprocal square root of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2sin ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector sine in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise sine on vector a.

Description

Calculates nv_bfloat162 sine of input vector a in round-to-nearest-even mode.

__device__ ​ __nv_bfloat162 h2sqrt ( const __nv_bfloat162 a )
Calculates nv_bfloat162 vector square root in round-to-nearest-even mode.
Parameters
a
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    elementwise square root on vector a.

Description

Calculates nv_bfloat162 square root of input vector a in round-to-nearest mode.

__device__ ​ __nv_bfloat162 h2trunc ( const __nv_bfloat162 h )
Truncate nv_bfloat162 vector input argument to the integral part.
Parameters
h
- nv_bfloat162. Is only being read.
Returns

nv_bfloat162

  • The

    truncated h.

Description

Round each component of vector h to the nearest integer value that does not exceed h in magnitude.