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/*========================== begin_copyright_notice ============================
Copyright (C) 2020-2022 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;
} __slog10_ha_nolut_two32 = {0x4f800000u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c10 = {0xbca31649u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c9 = {0x3d3c41e2u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c8 = {0xbd6b2906u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c7 = {0x3d80c9d2u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c6 = {0xbd940285u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c5 = {0x3db1cb7cu};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c4 = {0xbdde5c73u};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c3 = {0x3e143d6bu};
static __constant union {
unsigned int w;
float f;
} __slog10_ha_nolut_c2h = {0xbe5e5bd8u};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __slog10_ha_nolut_dc1 = {0x3fdbcb7b133e4c1euL};
static __constant union {
unsigned long w;
unsigned int w32[2];
int s32[2];
double f;
} __slog10_ha_nolut_L10_2 = {0x3fd34413509F79FFuL};
__attribute__((always_inline))
static inline int __ocl_svml_internal_slog10_ha_nolut(float *a, float *r)
{
float xin = *a;
union {
unsigned int w;
float f;
} x, mant, res;
int iexpon;
unsigned int xa;
float R, poly;
double dR, dpoly, 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) >= 0x7f000000)
goto LOG10F_SPECIAL;
LOG10F_MAIN:
// reduced argument
R = mant.f - 1.0f;
expon = (double)iexpon;
// polynomial
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__slog10_ha_nolut_c10.f, R,
__slog10_ha_nolut_c9.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c8.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c7.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c6.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c5.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c4.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c3.f);
poly = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(poly, R, __slog10_ha_nolut_c2h.f);
dR = (double)R;
dpoly = (double)poly;
// expon*log10(2), DP
expon *= __slog10_ha_nolut_L10_2.f;
dpoly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(dpoly, dR, __slog10_ha_nolut_dc1.f);
dpoly = SPIRV_OCL_BUILTIN(fma, _f64_f64_f64, )(dpoly, dR, expon);
poly = (float)dpoly;
*r = poly;
return nRet;
LOG10F_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;
}
nRet = 1;
// return QNaN
x.w |= 0x7fc00000u;
*r = x.f;
return nRet;
}
// positive denormal
// scale x by 2^32
x.f *= __slog10_ha_nolut_two32.f;
// normalized, unbiased exponent
iexpon = (x.w - 0x3f400000u) & 0xff800000u;
// normalized mantissa
mant.w = x.w - iexpon;
// exponent
iexpon >>= 23;
iexpon -= 32;
goto LOG10F_MAIN;
}
float __ocl_svml_log10f_ha_noLUT(float x)
{
float r;
__ocl_svml_internal_slog10_ha_nolut(&x, &r);
return r;
}
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