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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;
} __slog10_ha_two32 = {0x4f800000u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c10 = {0xbca31649u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c9 = {0x3d3c41e2u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c8 = {0xbd6b2906u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c7 = {0x3d80c9d2u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c6 = {0xbd940285u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c5 = {0x3db1cb7cu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c4 = {0xbdde5c73u};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c3 = {0x3e143d6bu};
static __constant union {
unsigned int w;
float f;
int i;
} __slog10_ha_c2h = {0xbe5e5bd8u};
static __constant float __slog10_ha_fc1[] = {
0x1.bcb7bp-2f,
0x1.33e4c2p-26f}; // C1 HI+LO: 0.43429446 + 1.7921765e-08 [0x3ede5bd8
// + 0x3299f261]
static __constant float __slog10_ha_fl10[] = {
0x1.344134p-2f,
0x1.09f7ap-26f}; // Log10(2) HI+LO: 0.30102998 + 1.5481334e-08 [0x3e9a209a +
// 0x3284fbd0]
__attribute__((always_inline)) inline int
__ocl_svml_internal_slog10_ha(float *a, float *r) {
int nRet = 0;
float xin = *a;
union {
unsigned int w;
float f;
int i;
} x, mant, res;
int iexpon;
unsigned int xa;
float R, poly;
float fpolyh, fpolyl, fexpon, fresh, fresl;
x.f = xin;
// normalize mantissa to [0.75, 1.5)
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;
// polynomial
poly = __spirv_ocl_fma(__slog10_ha_c10.f, R,
__slog10_ha_c9.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c8.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c7.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c6.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c5.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c4.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c3.f);
poly = __spirv_ocl_fma(poly, R, __slog10_ha_c2h.f);
fpolyh = __spirv_ocl_fma(poly, R, 0.0f);
fpolyl = __spirv_ocl_fma(poly, R, -fpolyh);
fexpon = (float)iexpon;
fresh = __slog10_ha_fl10[0];
fresl = __slog10_ha_fl10[1];
// Multi-precision computationsl part
{
float __ph, __phl;
__ph = __spirv_ocl_fma(fresh, fexpon, 0.0f);
__phl = __spirv_ocl_fma(fresh, fexpon, -__ph);
fresl = __spirv_ocl_fma(fresl, fexpon, __phl);
fresh = __ph;
};
{
float __ph, __ahl, __ahh;
__ph = __spirv_ocl_fma(fpolyh, 1.0f,
__slog10_ha_fc1[0]);
__ahh =
__spirv_ocl_fma(__ph, 1.0f, -__slog10_ha_fc1[0]);
__ahl = __spirv_ocl_fma(fpolyh, 1.0f, -__ahh);
fpolyl = (fpolyl + __slog10_ha_fc1[1]) + __ahl;
fpolyh = __ph;
};
{
float __ph, __phl;
__ph = __spirv_ocl_fma(fpolyh, R, 0.0f);
__phl = __spirv_ocl_fma(fpolyh, R, -__ph);
fpolyl = __spirv_ocl_fma(fpolyl, R, __phl);
fpolyh = __ph;
};
{
float __ph, __ahl, __ahh;
__ph = __spirv_ocl_fma(fpolyh, 1.0f, fresh);
__ahh = __spirv_ocl_fma(__ph, 1.0f, -fresh);
__ahl = __spirv_ocl_fma(fpolyh, 1.0f, -__ahh);
fpolyl = (fpolyl + fresl) + __ahl;
fpolyh = __ph;
};
// Add HI+LO parts of final result
poly = fpolyh + fpolyl;
*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_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(float x) {
float r;
__ocl_svml_internal_slog10_ha(&x, &r);
return r;
}
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