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/*========================== begin_copyright_notice ============================
Copyright (C) 2024 Intel Corporation
SPDX-License-Identifier: MIT
============================= end_copyright_notice ===========================*/
#include "../imf.h"
#pragma OPENCL FP_CONTRACT OFF
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_Shifter = {0x43380000000003ffuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_Shifter0 = {0x43380000000007feuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c11 = {0x3dfea1c678ded0efuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c10 = {0x3e3e6228be5a9ffduL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c9 = {0x3e7b524ca9ff39ccuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c8 = {0x3eb62bfc2c7be078uL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c7 = {0x3eeffcbfc7e3f872uL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c6 = {0x3f2430913112cae8uL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c5 = {0x3f55d87fe78a0586uL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c4 = {0x3f83b2ab6fb9f1a3uL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c3 = {0x3fac6b08d704a0dbuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c2 = {0x3fcebfbdff82c5aeuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_c1 = {0x3fc8b90bfbe8e7bcuL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __dexp2_ha_thres = {0x408ff00000000000uL};
__attribute__((always_inline)) inline int
__ocl_svml_internal_dexp2_ha(double *a, double *r) {
int nRet = 0;
double x = *a;
union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} dS, xin, res, T, T2, expon;
double dN, R, poly, High, Rh, Rl;
unsigned int xa32;
int sN, sN2;
dS.f = x + __dexp2_ha_Shifter.f;
dN = dS.f - __dexp2_ha_Shifter.f;
R = x - dN;
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(__dexp2_ha_c11.f, R,
__dexp2_ha_c10.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c9.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c8.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c7.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c6.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c5.f);
// 1+0.5*R
High = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(R, 0.5, 1.0);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c4.f);
// (0.5*R)_high
Rh = High - 1.0;
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c3.f);
// (0.5*R)_low
Rl = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(R, 0.5, (-Rh));
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c2.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, __dexp2_ha_c1.f);
poly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(poly, R, Rl);
res.f = High + poly;
if (SPIRV_OCL_BUILTIN(fabs, _f64, )(x) >= __dexp2_ha_thres.f)
goto EXP2_SPECIAL;
// final scaling
// res.w32[1] += (dS.w32[0] << 20);
expon.w = dS.w << 52;
res.f *= expon.f;
*r = res.f;
return nRet;
EXP2_SPECIAL:
xin.f = x;
xa32 = xin.w32[1] & 0x7fffffffuL;
if (xa32 >= 0x7ff00000u) {
if (xin.w == 0xfff0000000000000uL) {
*r = 0.0f;
return nRet;
} else // NaN or +Inf
{
*r = x + x;
return nRet;
}
}
x = SPIRV_OCL_BUILTIN(fmin, _f64_f64, )(x, 1536.0);
x = SPIRV_OCL_BUILTIN(fmax, _f64_f64, )(x, -1536.0);
dS.f = x + __dexp2_ha_Shifter0.f;
sN = dS.w32[0];
// fix res.f for very large |x|
res.f = SPIRV_OCL_BUILTIN(fmin, _f64_f64, )(res.f, 2.0);
res.f = SPIRV_OCL_BUILTIN(fmax, _f64_f64, )(res.f, 0.5);
// split the scaling coefficients
sN2 = sN >> 1;
sN -= sN2;
T.w = (sN /*+ 0x3ff*/);
T.w <<= 52;
T2.w = (sN2 /*+ 0x3ff*/);
T2.w <<= 52;
res.f *= T.f;
res.f *= T2.f;
nRet = (res.w < 0x0010000000000000uL) ? 4 : nRet;
nRet = (res.w == 0x7ff0000000000000uL) ? 3 : nRet;
*r = res.f;
return nRet;
}
double __ocl_svml_exp2_ha(double x) {
double r;
__ocl_svml_internal_dexp2_ha(&x, &r);
return r;
}
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