1.3.7. 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-even mode.
- __device__ __nv_bfloat16 hexp10 ( const __nv_bfloat16 a )
- Calculates nv_bfloat16 decimal exponential function in round-to-nearest-even mode.
- __device__ __nv_bfloat16 hexp2 ( const __nv_bfloat16 a )
- Calculates nv_bfloat16 binary exponential function in round-to-nearest-even 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.
NOTE: this function's implementation calls cosf( float) function and is exposed to compiler optimizations. Specifically, --use_fast_math flag changes cosf( float) into an intrinsic __cosf( float), which has less accurate numeric behavior.
- __device__ __nv_bfloat16 hexp ( const __nv_bfloat16 a )
-
Calculates nv_bfloat16 natural exponential function in round-to-nearest-even 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-even 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-even 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-even 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.
NOTE: this function's implementation calls sinf( float) function and is exposed to compiler optimizations. Specifically, --use_fast_math flag changes sinf( float) into an intrinsic __sinf( float), which has less accurate numeric behavior.
- __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.