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#define NPY_NO_DEPRECATED_API NPY_API_VERSION
/*
* If these are 1, the conversions try to trigger underflow,
* overflow, and invalid exceptions in the FP system when needed.
*/
#define NPY_HALF_GENERATE_OVERFLOW 1
#define NPY_HALF_GENERATE_INVALID 1
#include "numpy/halffloat.h"
#include "common.hpp"
/*
********************************************************************
* HALF-PRECISION ROUTINES *
********************************************************************
*/
using namespace np;
float npy_half_to_float(npy_half h)
{
return static_cast<float>(Half::FromBits(h));
}
double npy_half_to_double(npy_half h)
{
return static_cast<double>(Half::FromBits(h));
}
npy_half npy_float_to_half(float f)
{
return Half(f).Bits();
}
npy_half npy_double_to_half(double d)
{
return Half(d).Bits();
}
int npy_half_iszero(npy_half h)
{
return (h&0x7fff) == 0;
}
int npy_half_isnan(npy_half h)
{
return Half::FromBits(h).IsNaN();
}
int npy_half_isinf(npy_half h)
{
return ((h&0x7fffu) == 0x7c00u);
}
int npy_half_isfinite(npy_half h)
{
return ((h&0x7c00u) != 0x7c00u);
}
int npy_half_signbit(npy_half h)
{
return (h&0x8000u) != 0;
}
npy_half npy_half_spacing(npy_half h)
{
npy_half ret;
npy_uint16 h_exp = h&0x7c00u;
npy_uint16 h_sig = h&0x03ffu;
if (h_exp == 0x7c00u) {
#if NPY_HALF_GENERATE_INVALID
npy_set_floatstatus_invalid();
#endif
ret = NPY_HALF_NAN;
} else if (h == 0x7bffu) {
#if NPY_HALF_GENERATE_OVERFLOW
npy_set_floatstatus_overflow();
#endif
ret = NPY_HALF_PINF;
} else if ((h&0x8000u) && h_sig == 0) { /* Negative boundary case */
if (h_exp > 0x2c00u) { /* If result is normalized */
ret = h_exp - 0x2c00u;
} else if(h_exp > 0x0400u) { /* The result is a subnormal, but not the smallest */
ret = 1 << ((h_exp >> 10) - 2);
} else {
ret = 0x0001u; /* Smallest subnormal half */
}
} else if (h_exp > 0x2800u) { /* If result is still normalized */
ret = h_exp - 0x2800u;
} else if (h_exp > 0x0400u) { /* The result is a subnormal, but not the smallest */
ret = 1 << ((h_exp >> 10) - 1);
} else {
ret = 0x0001u;
}
return ret;
}
npy_half npy_half_copysign(npy_half x, npy_half y)
{
return (x&0x7fffu) | (y&0x8000u);
}
npy_half npy_half_nextafter(npy_half x, npy_half y)
{
npy_half ret;
if (npy_half_isnan(x) || npy_half_isnan(y)) {
ret = NPY_HALF_NAN;
} else if (npy_half_eq_nonan(x, y)) {
ret = x;
} else if (npy_half_iszero(x)) {
ret = (y&0x8000u) + 1; /* Smallest subnormal half */
} else if (!(x&0x8000u)) { /* x > 0 */
if ((npy_int16)x > (npy_int16)y) { /* x > y */
ret = x-1;
} else {
ret = x+1;
}
} else {
if (!(y&0x8000u) || (x&0x7fffu) > (y&0x7fffu)) { /* x < y */
ret = x-1;
} else {
ret = x+1;
}
}
#if NPY_HALF_GENERATE_OVERFLOW
if (npy_half_isinf(ret) && npy_half_isfinite(x)) {
npy_set_floatstatus_overflow();
}
#endif
return ret;
}
int npy_half_eq_nonan(npy_half h1, npy_half h2)
{
return Half::FromBits(h1).Equal(Half::FromBits(h2));
}
int npy_half_eq(npy_half h1, npy_half h2)
{
return Half::FromBits(h1) == Half::FromBits(h2);
}
int npy_half_ne(npy_half h1, npy_half h2)
{
return Half::FromBits(h1) != Half::FromBits(h2);
}
int npy_half_lt_nonan(npy_half h1, npy_half h2)
{
return Half::FromBits(h1).Less(Half::FromBits(h2));
}
int npy_half_lt(npy_half h1, npy_half h2)
{
return Half::FromBits(h1) < Half::FromBits(h2);
}
int npy_half_gt(npy_half h1, npy_half h2)
{
return npy_half_lt(h2, h1);
}
int npy_half_le_nonan(npy_half h1, npy_half h2)
{
return Half::FromBits(h1).LessEqual(Half::FromBits(h2));
}
int npy_half_le(npy_half h1, npy_half h2)
{
return Half::FromBits(h1) <= Half::FromBits(h2);
}
int npy_half_ge(npy_half h1, npy_half h2)
{
return npy_half_le(h2, h1);
}
npy_half npy_half_divmod(npy_half h1, npy_half h2, npy_half *modulus)
{
float fh1 = npy_half_to_float(h1);
float fh2 = npy_half_to_float(h2);
float div, mod;
div = npy_divmodf(fh1, fh2, &mod);
*modulus = npy_float_to_half(mod);
return npy_float_to_half(div);
}
/*
********************************************************************
* BIT-LEVEL CONVERSIONS *
********************************************************************
*/
npy_uint16 npy_floatbits_to_halfbits(npy_uint32 f)
{
if constexpr (Half::kNativeConversion<float>) {
return BitCast<uint16_t>(Half(BitCast<float>(f)));
}
else {
return half_private::FromFloatBits(f);
}
}
npy_uint16 npy_doublebits_to_halfbits(npy_uint64 d)
{
if constexpr (Half::kNativeConversion<double>) {
return BitCast<uint16_t>(Half(BitCast<double>(d)));
}
else {
return half_private::FromDoubleBits(d);
}
}
npy_uint32 npy_halfbits_to_floatbits(npy_uint16 h)
{
if constexpr (Half::kNativeConversion<float>) {
return BitCast<uint32_t>(static_cast<float>(Half::FromBits(h)));
}
else {
return half_private::ToFloatBits(h);
}
}
npy_uint64 npy_halfbits_to_doublebits(npy_uint16 h)
{
if constexpr (Half::kNativeConversion<double>) {
return BitCast<uint64_t>(static_cast<double>(Half::FromBits(h)));
}
else {
return half_private::ToDoubleBits(h);
}
}
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