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THCNumerics.cuh
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THCNumerics.cuh
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#ifndef THC_NUMERICS_INC
#define THC_NUMERICS_INC
#include <cstdlib>
#include <limits>
#include <cuda.h>
#include <assert.h>
#include <TH/THHalf.h>
#include <ATen/ATen.h>
#include <ATen/cuda/NumericLimits.cuh>
// WARNING: THCNumerics is being deprecated. Please follow the comments
// in this file to learn about new usages.
// Comments on usage:
// - lt,le,gt,ge,eq,neg,add,mul,sub,div and other binary ops can
// be implemented using CUDA_apply_utils or binary cuda kernel
// - Check NumericLimits.cuh for specialized math functions.
// - Note how __half and at::Half can be casted. for instance:
// static_cast<at::Half>(std::sin(static_cast<at::Half>(a)));
template <typename T>
struct THCNumerics {
};
template <typename T>
static inline __host__ __device__ T powi(T a, T b) {
assert(THCNumerics<T>::ge(b, 0));
T result = 1;
while (b) {
if (b & 1) {
result *= a;
}
b /= 2;
a *= a;
}
return result;
}
// DEPRECATED: For integral types, use math functions from std and NumericLimits.cuh.
// Use binary_kernel or CUDA_apply_utils for arithmetic
template <>
struct THCNumerics<uint8_t> {
static inline __host__ __device__ uint8_t min() { return at::numeric_limits<uint8_t>::lowest(); }
static inline __host__ __device__ uint8_t max() { return at::numeric_limits<uint8_t>::max(); }
static inline __host__ __device__ uint8_t lower_bound() { return at::numeric_limits<uint8_t>::lower_bound(); }
static inline __host__ __device__ uint8_t upper_bound() { return at::numeric_limits<uint8_t>::upper_bound(); }
static inline __host__ __device__ bool lt(uint8_t a, uint8_t b) { return a < b; }
static inline __host__ __device__ bool le(uint8_t a, uint8_t b) { return a <= b; }
static inline __host__ __device__ bool gt(uint8_t a, uint8_t b) { return a > b; }
static inline __host__ __device__ bool ge(uint8_t a, uint8_t b) { return a >= b; }
static inline __host__ __device__ bool eq(uint8_t a, uint8_t b) { return a == b; }
static inline __device__ bool eq_with_nan(uint8_t a, uint8_t b) { return a == b; }
static inline __host__ __device__ bool ne(uint8_t a, uint8_t b) { return a != b; }
static inline __host__ __device__ uint8_t add(uint8_t a, uint8_t b) { return a + b; }
static inline __host__ __device__ uint8_t mul(uint8_t a, uint8_t b) { return a * b; }
static inline __host__ __device__ uint8_t sub(uint8_t a, uint8_t b) { return a - b; }
static inline __host__ __device__ uint8_t div(uint8_t a, uint8_t b) { return a / b; }
static inline __host__ __device__ uint8_t pow(uint8_t a, uint8_t b) { return powi<uint8_t>(a, b); }
static inline __host__ __device__ bool isnan(uint8_t a) { return false; }
static inline __host__ __device__ bool isinf(uint8_t a) { return false; }
};
template <>
struct THCNumerics<bool> {
static inline __host__ __device__ bool min() { return at::numeric_limits<bool>::lowest(); }
static inline __host__ __device__ bool max() { return at::numeric_limits<bool>::max(); }
static inline __host__ __device__ bool lower_bound() { return at::numeric_limits<bool>::lower_bound(); }
static inline __host__ __device__ bool upper_bound() { return at::numeric_limits<bool>::upper_bound(); }
static inline __host__ __device__ bool lt(bool a, bool b) { return a < b; }
static inline __host__ __device__ bool le(bool a, bool b) { return a <= b; }
static inline __host__ __device__ bool gt(bool a, bool b) { return a > b; }
static inline __host__ __device__ bool ge(bool a, bool b) { return a >= b; }
static inline __host__ __device__ bool eq(bool a, bool b) { return a == b; }
static inline __host__ __device__ bool ne(bool a, bool b) { return a != b; }
static inline __host__ __device__ bool add(bool a, bool b) { return a + b; }
static inline __host__ __device__ bool mul(bool a, bool b) { return a && b; }
static inline __host__ __device__ bool sub(bool a, bool b) { return a - b; }
static inline __host__ __device__ bool div(bool a, bool b) { return a / b; }
static inline __host__ __device__ bool isnan(bool a) { return false; }
static inline __host__ __device__ bool isinf(bool a) { return false; }
};
template <>
struct THCNumerics<int8_t> {
static inline __host__ __device__ int8_t min() { return at::numeric_limits<int8_t>::lowest(); }
static inline __host__ __device__ int8_t max() { return at::numeric_limits<int8_t>::max(); }
static inline __host__ __device__ int8_t lower_bound() { return at::numeric_limits<int8_t>::lower_bound(); }
static inline __host__ __device__ int8_t upper_bound() { return at::numeric_limits<int8_t>::upper_bound(); }
static inline __host__ __device__ bool lt(int8_t a, int8_t b) { return a < b; }
static inline __host__ __device__ bool le(int8_t a, int8_t b) { return a <= b; }
static inline __host__ __device__ bool gt(int8_t a, int8_t b) { return a > b; }
static inline __host__ __device__ bool ge(int8_t a, int8_t b) { return a >= b; }
static inline __host__ __device__ bool eq(int8_t a, int8_t b) { return a == b; }
static inline __device__ bool eq_with_nan(int8_t a, int8_t b) { return a == b; }
static inline __host__ __device__ bool ne(int8_t a, int8_t b) { return a != b; }
static inline __host__ __device__ int8_t add(int8_t a, int8_t b) { return a + b; }
static inline __host__ __device__ int8_t mul(int8_t a, int8_t b) { return a * b; }
static inline __host__ __device__ int8_t sub(int8_t a, int8_t b) { return a - b; }
static inline __host__ __device__ int8_t div(int8_t a, int8_t b) { return a / b; }
static inline __host__ __device__ int8_t pow(int8_t a, int8_t b) { return powi<int8_t>(a, b); }
static inline __host__ __device__ bool isnan(int8_t a) { return false; }
static inline __host__ __device__ bool isinf(int8_t a) { return false; }
};
template <>
struct THCNumerics<int16_t> {
static inline __host__ __device__ int16_t min() { return at::numeric_limits<int16_t>::lowest(); }
static inline __host__ __device__ int16_t max() { return at::numeric_limits<int16_t>::max(); }
static inline __host__ __device__ int16_t lower_bound() { return at::numeric_limits<int16_t>::lower_bound(); }
static inline __host__ __device__ int16_t upper_bound() { return at::numeric_limits<int16_t>::upper_bound(); }
static inline __host__ __device__ bool lt(int16_t a, int16_t b) { return a < b; }
static inline __host__ __device__ bool le(int16_t a, int16_t b) { return a <= b; }
static inline __host__ __device__ bool gt(int16_t a, int16_t b) { return a > b; }
static inline __host__ __device__ bool ge(int16_t a, int16_t b) { return a >= b; }
static inline __host__ __device__ bool eq(int16_t a, int16_t b) { return a == b; }
static inline __device__ bool eq_with_nan(int16_t a, int16_t b) { return a == b; }
static inline __host__ __device__ bool ne(int16_t a, int16_t b) { return a != b; }
static inline __host__ __device__ int16_t add(int16_t a, int16_t b) { return a + b; }
static inline __host__ __device__ int16_t mul(int16_t a, int16_t b) { return a * b; }
static inline __host__ __device__ int16_t sub(int16_t a, int16_t b) { return a - b; }
static inline __host__ __device__ int16_t div(int16_t a, int16_t b) { return a / b; }
static inline __host__ __device__ int16_t pow(int16_t a, int16_t b) { return powi<int16_t>(a, b); }
static inline __host__ __device__ bool isnan(int16_t a) { return false; }
static inline __host__ __device__ bool isinf(int16_t a) { return false; }
};
template <>
struct THCNumerics<int32_t> {
static inline __host__ __device__ int32_t min() { return at::numeric_limits<int32_t>::lowest(); }
static inline __host__ __device__ int32_t max() { return at::numeric_limits<int32_t>::max(); }
static inline __host__ __device__ int32_t lower_bound() { return at::numeric_limits<int32_t>::lower_bound(); }
static inline __host__ __device__ int32_t upper_bound() { return at::numeric_limits<int32_t>::upper_bound(); }
static inline __host__ __device__ bool lt(int32_t a, int32_t b) { return a < b; }
static inline __host__ __device__ bool le(int32_t a, int32_t b) { return a <= b; }
static inline __host__ __device__ bool gt(int32_t a, int32_t b) { return a > b; }
static inline __host__ __device__ bool ge(int32_t a, int32_t b) { return a >= b; }
static inline __host__ __device__ bool eq(int32_t a, int32_t b) { return a == b; }
static inline __device__ bool eq_with_nan(int32_t a, int32_t b) { return a == b; }
static inline __host__ __device__ bool ne(int32_t a, int32_t b) { return a != b; }
static inline __host__ __device__ int32_t add(int32_t a, int32_t b) { return a + b; }
static inline __host__ __device__ int32_t mul(int32_t a, int32_t b) { return a * b; }
static inline __host__ __device__ int32_t sub(int32_t a, int32_t b) { return a - b; }
static inline __host__ __device__ int32_t div(int32_t a, int32_t b) { return a / b; }
static inline __host__ __device__ int32_t pow(int32_t a, int32_t b) { return powi<int32_t>(a, b); }
static inline __host__ __device__ bool isnan(int32_t a) { return false; }
static inline __host__ __device__ bool isinf(int32_t a) { return false; }
};
template <>
struct THCNumerics<int64_t> {
static inline __host__ __device__ int64_t min() { return at::numeric_limits<int64_t>::lowest(); }
static inline __host__ __device__ int64_t max() { return at::numeric_limits<int64_t>::max(); }
static inline __host__ __device__ int64_t lower_bound() { return at::numeric_limits<int64_t>::lower_bound(); }
static inline __host__ __device__ int64_t upper_bound() { return at::numeric_limits<int64_t>::upper_bound(); }
static inline __host__ __device__ bool lt(int64_t a, int64_t b) { return a < b; }
static inline __host__ __device__ bool le(int64_t a, int64_t b) { return a <= b; }
static inline __host__ __device__ bool gt(int64_t a, int64_t b) { return a > b; }
static inline __host__ __device__ bool ge(int64_t a, int64_t b) { return a >= b; }
static inline __host__ __device__ bool eq(int64_t a, int64_t b) { return a == b; }
static inline __device__ bool eq_with_nan(int64_t a, int64_t b) { return a == b; }
static inline __host__ __device__ bool ne(int64_t a, int64_t b) { return a != b; }
static inline __host__ __device__ int64_t add(int64_t a, int64_t b) { return a + b; }
static inline __host__ __device__ int64_t mul(int64_t a, int64_t b) { return a * b; }
static inline __host__ __device__ int64_t sub(int64_t a, int64_t b) { return a - b; }
static inline __host__ __device__ int64_t div(int64_t a, int64_t b) { return a / b; };
static inline __host__ __device__ int64_t pow(int64_t a, int64_t b) { return powi<int64_t>(a, b); }
static inline __host__ __device__ bool isnan(int64_t a) { return false; }
static inline __host__ __device__ bool isinf(int64_t a) { return false; }
};
// DEPRECATED: use math functions from std and NumericLimits.cuh
template <>
struct THCNumerics<at::Half> {
static inline __host__ __device__ at::Half min() { return at::numeric_limits<at::Half>::lowest(); }
static inline __host__ __device__ at::Half max() { return at::numeric_limits<at::Half>::max(); }
static inline __host__ __device__ at::Half lower_bound() { return at::numeric_limits<at::Half>::lower_bound(); }
static inline __host__ __device__ at::Half upper_bound() { return at::numeric_limits<at::Half>::upper_bound(); }
static inline __host__ __device__ bool lt(at::Half a, at::Half b) { return a < b; }
static inline __host__ __device__ bool le(at::Half a, at::Half b) { return a <= b; }
static inline __host__ __device__ bool gt(at::Half a, at::Half b) { return a > b; }
static inline __host__ __device__ bool ge(at::Half a, at::Half b) { return a >= b; }
static inline __host__ __device__ bool eq(at::Half a, at::Half b) { return a == b; }
static inline __device__ bool eq_with_nan(at::Half a, at::Half b) { return __half_as_ushort(a) == __half_as_ushort(b); }
static inline __host__ __device__ bool ne(at::Half a, at::Half b) { return a != b; }
static inline __host__ __device__ at::Half exp(at::Half a) { return std::exp(a); }
static inline __host__ __device__ at::Half cos(at::Half a) { return ::cos(a); }
static inline __host__ __device__ at::Half sqrt(at::Half a) { return ::sqrt(a); }
static inline __host__ __device__ at::Half cosh(at::Half a) { return ::cosh(a); }
static inline __host__ __device__ at::Half tan(at::Half a) { return ::tan(a); }
static inline __host__ __device__ at::Half atan(at::Half a) { return ::atan(a); }
static inline __host__ __device__ at::Half tanh(at::Half a) { return ::tanh(a); }
static inline __host__ __device__ at::Half erf(at::Half a) { return ::erf(a); }
static inline __host__ __device__ at::Half erfc(at::Half a) { return ::erfc(a); }
static inline __host__ __device__ at::Half add(at::Half a, at::Half b) { return a + b; }
static inline __host__ __device__ at::Half div(at::Half a, at::Half b) { return a / b; }
static inline __host__ __device__ at::Half mul(at::Half a, at::Half b) { return a * b; }
static inline __host__ __device__ at::Half sub(at::Half a, at::Half b) { return a - b; }
static inline __host__ __device__ at::Half pow(at::Half a, at::Half b) { return ::pow(a, b); }
static inline __host__ __device__ bool isnan(at::Half a) {
#ifdef _MSC_VER
// Windows requires this explicit conversion. The reason is unclear
// related issue with clang: https://reviews.llvm.org/D37906
return ::isnan((float) a);
#else
return ::isnan(a);
#endif
}
static inline __host__ __device__ bool isinf(at::Half a) {
#ifdef _MSC_VER
// Windows requires this explicit conversion. The reason is unclear
// related issue with clang: https://reviews.llvm.org/D37906
return ::isinf((float) a);
#else
return ::isinf(a);
#endif
}
};
// DEPRECATED: use math functions from std and cuda math API (if needed)
template <>
struct THCNumerics<float> {
static inline __host__ __device__ float min() { return at::numeric_limits<float>::lowest(); }
static inline __host__ __device__ float max() { return at::numeric_limits<float>::max(); }
static inline __host__ __device__ float lower_bound() { return at::numeric_limits<float>::lower_bound(); }
static inline __host__ __device__ float upper_bound() { return at::numeric_limits<float>::upper_bound(); }
static inline __host__ __device__ bool lt(float a, float b) { return a < b; }
static inline __host__ __device__ bool le(float a, float b) { return a <= b; }
static inline __host__ __device__ bool gt(float a, float b) { return a > b; }
static inline __host__ __device__ bool ge(float a, float b) { return a >= b; }
static inline __host__ __device__ bool eq(float a, float b) { return a == b; }
static inline __device__ bool eq_with_nan(float a, float b) { return __float_as_int(a) == __float_as_int(b); }
static inline __host__ __device__ bool ne(float a, float b) { return a != b; }
static inline __host__ __device__ float exp (float a) { return expf(a); }
static inline __host__ __device__ float cos (float a) { return cosf(a); }
static inline __host__ __device__ float sqrt (float a) { return sqrtf(a); }
static inline __host__ __device__ float cosh (float a) { return coshf(a); }
static inline __host__ __device__ float tan (float a) { return tanf(a); }
static inline __host__ __device__ float atan (float a) { return atanf(a); }
static inline __host__ __device__ float tanh (float a) { return tanhf(a); }
static inline __host__ __device__ float erf (float a) { return erff(a); }
static inline __host__ __device__ float erfc (float a) { return erfcf(a); }
static inline __host__ __device__ float add (float a, float b) { return a + b; }
static inline __host__ __device__ float div (float a, float b) { return a / b; }
static inline __host__ __device__ float mul (float a, float b) { return a * b; }
static inline __host__ __device__ float sub (float a, float b) { return a - b; }
static inline __host__ __device__ float pow (float a, float b) { return powf(a, b); }
static inline __host__ __device__ bool isnan(float a) { return ::isnan(a); }
static inline __host__ __device__ bool isinf(float a) { return ::isinf(a); }
};
template <>
struct THCNumerics<at::BFloat16> {
static inline __host__ __device__ at::BFloat16 min() { return at::numeric_limits<at::BFloat16>::lowest(); }
static inline __host__ __device__ at::BFloat16 max() { return at::numeric_limits<at::BFloat16>::max(); }
static inline __host__ __device__ at::BFloat16 lower_bound() { return at::numeric_limits<at::BFloat16>::lower_bound(); }
static inline __host__ __device__ at::BFloat16 upper_bound() { return at::numeric_limits<at::BFloat16>::upper_bound(); }
static inline __host__ __device__ bool lt(at::BFloat16 a, at::BFloat16 b) { return a < b; }
static inline __host__ __device__ bool le(at::BFloat16 a, at::BFloat16 b) { return a <= b; }
static inline __host__ __device__ bool gt(at::BFloat16 a, at::BFloat16 b) { return a > b; }
static inline __host__ __device__ bool ge(at::BFloat16 a, at::BFloat16 b) { return a >= b; }
static inline __host__ __device__ bool eq(at::BFloat16 a, at::BFloat16 b) { return a == b; }
static inline __host__ __device__ bool ne(at::BFloat16 a, at::BFloat16 b) { return a != b; }
static inline __host__ __device__ at::BFloat16 exp (at::BFloat16 a) { return expf(a); }
static inline __host__ __device__ at::BFloat16 cos (at::BFloat16 a) { return cosf(a); }
static inline __host__ __device__ at::BFloat16 sqrt (at::BFloat16 a) { return sqrtf(a); }
static inline __host__ __device__ at::BFloat16 cosh (at::BFloat16 a) { return coshf(a); }
static inline __host__ __device__ at::BFloat16 tan (at::BFloat16 a) { return tanf(a); }
static inline __host__ __device__ at::BFloat16 atan (at::BFloat16 a) { return atanf(a); }
static inline __host__ __device__ at::BFloat16 tanh (at::BFloat16 a) { return tanhf(a); }
static inline __host__ __device__ at::BFloat16 erf (at::BFloat16 a) { return erff(a); }
static inline __host__ __device__ at::BFloat16 erfc (at::BFloat16 a) { return erfcf(a); }
static inline __host__ __device__ at::BFloat16 add (at::BFloat16 a, at::BFloat16 b) { return a + b; }
static inline __host__ __device__ at::BFloat16 div (at::BFloat16 a, at::BFloat16 b) { return a / b; }
static inline __host__ __device__ at::BFloat16 mul (at::BFloat16 a, at::BFloat16 b) { return a * b; }
static inline __host__ __device__ at::BFloat16 sub (at::BFloat16 a, at::BFloat16 b) { return a - b; }
static inline __host__ __device__ at::BFloat16 pow (at::BFloat16 a, at::BFloat16 b) { return powf(a, b); }
static inline __host__ __device__ at::BFloat16 atan2(at::BFloat16 a, at::BFloat16 b) { return atan2f(a, b); }
static inline __host__ __device__ bool isnan(at::BFloat16 a) {
#ifdef _MSC_VER
// Windows requires this explicit conversion. The reason is unclear
// related issue with clang: https://reviews.llvm.org/D37906
return ::isnan((float) a);
#else
return ::isnan(a);
#endif
}
static inline __host__ __device__ bool isinf(at::BFloat16 a) {
#ifdef _MSC_VER
// Windows requires this explicit conversion. The reason is unclear
// related issue with clang: https://reviews.llvm.org/D37906
return ::isinf((float) a);
#else
return ::isinf(a);
#endif
}
};
// DEPRECATED: use math functions from std and cuda math API (if needed)
template <>
struct THCNumerics<double> {
static inline __host__ __device__ double min() { return at::numeric_limits<double>::lowest(); }
static inline __host__ __device__ double max() { return at::numeric_limits<double>::max(); }
static inline __host__ __device__ double lower_bound() { return at::numeric_limits<double>::lower_bound(); }
static inline __host__ __device__ double upper_bound() { return at::numeric_limits<double>::upper_bound(); }
static inline __host__ __device__ bool lt(double a, double b) { return a < b; }
static inline __host__ __device__ bool le(double a, double b) { return a <= b; }
static inline __host__ __device__ bool gt(double a, double b) { return a > b; }
static inline __host__ __device__ bool ge(double a, double b) { return a >= b; }
static inline __host__ __device__ bool eq(double a, double b) { return a == b; }
static inline __device__ bool eq_with_nan(double a, double b) { return __double_as_longlong(a) == __double_as_longlong(b); }
static inline __host__ __device__ bool ne(double a, double b) { return a != b; }
static inline __host__ __device__ double exp (double a) { return ::exp(a); }
static inline __host__ __device__ double cos (double a) { return ::cos(a); }
static inline __host__ __device__ double sqrt (double a) { return ::sqrt(a); }
static inline __host__ __device__ double cosh (double a) { return ::cosh(a); }
static inline __host__ __device__ double tan (double a) { return ::tan(a); }
static inline __host__ __device__ double atan (double a) { return ::atan(a); }
static inline __host__ __device__ double tanh (double a) { return ::tanh(a); }
static inline __host__ __device__ double erf (double a) { return ::erf(a); }
static inline __host__ __device__ double erfc (double a) { return ::erfc(a); }
static inline __host__ __device__ double add (double a, double b) { return a + b; }
static inline __host__ __device__ double div (double a, double b) { return a / b; }
static inline __host__ __device__ double mul (double a, double b) { return a * b; }
static inline __host__ __device__ double sub (double a, double b) { return a - b; }
static inline __host__ __device__ double pow (double a, double b) { return ::pow(a, b); }
static inline __host__ __device__ bool isnan(double a) { return ::isnan(a); }
static inline __host__ __device__ bool isinf(double a) { return ::isinf(a); }
};
// WARNING: The following note is deprecated
/// `half` has some type conversion issues associated with it, since it
/// is a struct without a constructor/implicit conversion constructor.
/// We use this to convert scalar values to the given type that the
/// tensor expects.
///
/// at::Half has implicit conversions for float and __half types. Moreover
/// it has constructors for __half and float types.
template <typename In, typename Out>
struct ScalarConvert {
static __host__ __device__ Out to(const In v) { return (Out) v; }
};
// DEPRECATED: use static_cast in kernels instead of scalar_cast
template <typename T, typename U>
__host__ __device__ T scalar_cast(U u) {
return ScalarConvert<U, T>::to(u);
}
#endif // THC_NUMERICS_INC