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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 int w;
float f;
int i;
} __slog2_ha_two32 = {0x4f800000u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c10 = {0xbd8770dcu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c9 = {0x3e1c5827u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c8 = {0xbe434bdeu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c7 = {0x3e55e9b0u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c6 = {0xbe75d6cau};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c5 = {0x3e93a7cbu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c4 = {0xbeb8aabcu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c3 = {0x3ef6389fu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog2_ha_c2h = {0xbf38aa3bu};
static __constant float __slog2_ha_c1h = 0x1.715476p+0;
static __constant float __slog2_ha_c1l = 0x1.4ae0cp-26;
__attribute__((always_inline)) inline int
__ocl_svml_internal_slog2_ha(float *a, float *r) {
float xin = *a;
union {
unsigned int w;
float f;
int i;
} x, mant, res;
int iexpon;
unsigned int xa;
float R, poly, polyh, polyl, expon;
int nRet = 0;
x.f = xin;
// normalize mantissa to [0.75, 1.5)
// normalized, unbiased exponent
iexpon = (x.w - 0x3f400000u) & 0xff800000u;
// normalized mantissa
mant.w = x.w - iexpon;
// exponent
iexpon >>= 23;
// filter out denormals/zero/negative/Inf/NaN
if ((unsigned int)(x.w - 0x00800000) >= 0x7f000000u)
goto LOG2F_SPECIAL;
LOG2F_MAIN:
// reduced argument
R = mant.f - 1.0f;
// polynomial
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__slog2_ha_c10.f, R,
__slog2_ha_c9.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c8.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c7.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c6.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c5.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c4.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c3.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog2_ha_c2h.f);
expon = (float)iexpon;
polyh = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, 0.0f);
polyl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, -polyh);
{
float __ph, __ahl, __ahh;
__ph = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, 1.0f, __slog2_ha_c1h);
__ahh = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__ph, 1.0f, -__slog2_ha_c1h);
__ahl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, 1.0f, -__ahh);
polyl = (polyl + __slog2_ha_c1l) + __ahl;
polyh = __ph;
};
{
float __ph, __phl;
__ph = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, R, 0.0f);
__phl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, R, -__ph);
polyl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyl, R, __phl);
polyh = __ph;
};
{
float __ph, __ahl, __ahh;
__ph = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, 1.0f, expon);
__ahh = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__ph, 1.0f, -expon);
__ahl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(polyh, 1.0f, -__ahh);
polyl = polyl + __ahl;
polyh = __ph;
};
poly = polyh + polyl;
*r = poly;
return nRet;
LOG2F_SPECIAL:
xa = x.w & 0x7fffffffu;
// zero
if (!xa) {
nRet = 2;
res.w = 0xff800000u;
*r = res.f;
return nRet;
}
// Inf/NaN or negative?
if (x.w >= 0x7f800000u) {
// +Inf?
if (x.w == 0x7f800000u) {
*r = x.f;
return nRet;
}
// return QNaN
nRet = 1;
x.w |= 0x7fc00000u;
*r = x.f;
return nRet;
}
// positive denormal?
if (!(xa & 0x7f800000)) {
// scale x by 2^32
x.f *= __slog2_ha_two32.f;
// normalized, unbiased exponent
iexpon = (x.w - 0x3f400000u) & 0xff800000u;
// normalized mantissa
mant.w = x.w - iexpon;
// exponent
iexpon >>= 23;
iexpon -= 32;
}
goto LOG2F_MAIN;
}
float __ocl_svml_log2f_ha(float x) {
float r;
__ocl_svml_internal_slog2_ha(&x, &r);
return r;
}
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