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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
#pragma float_control(precise, on)
static __constant int __ssincos_ha___ip_h = 0x0517CC1B;
static __constant int __ssincos_ha___ip_m = 0x727220A9;
static __constant int __ssincos_ha___ip_l = 0x28;
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc4 = {0x3e6ce1b2u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc3 = {0xbfaae2beu};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc2 = {0x4081e0eeu};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc1 = {0xc09de9e6u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc1l = {0xb3e646a5u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cc0 = {0x3f800000u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cs3 = {0xbf16c981u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cs2 = {0x40232f49u};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cs1 = {0xc0a55dddu};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cs0 = {0x40490fdbu};
static __constant union {
unsigned int w;
float f;
int i;
} __ssincos_ha___cs0l = {0xb3d195e9u};
static __constant unsigned int __ssincos_ha_invpi_tbl[] = {
0, 0x28BE60DB, 0x9391054A, 0x7F09D5F4,
0x7D4D3770, 0x36D8A566, 0x4F10E410, 0x7F9458EA};
__attribute__((always_inline)) inline int
__ocl_svml_internal_ssincos_ha(float *pa, float *psin, float *pcos) {
int nRet = 0;
float xin = *pa;
unsigned long IP, IP2;
long IP_s, IP2_s;
int ip_low_s;
unsigned int ip_low;
volatile int_float x;
int_float Rh, Rl, res, scale, cres, sres, spoly, cpoly, cpoly_l;
int mx, sgn_x, ex, ip_h, shift, index, j, sgn_p, sgn_xp;
float High, Low, R2h, R2l, Ph, Pl;
x.f = xin;
mx = (x.w & 0x007fffff) | 0x00800000;
sgn_x = x.w & 0x80000000;
ex = ((x.w ^ sgn_x) >> 23);
// redirect large or very small inputs
if (__builtin_expect(((unsigned)(ex - 0x7f + 12)) > (20 + 12), (0 == 1))) {
// small input
if (__builtin_expect((ex < 0x7f - 11), (1 == 1))) {
*psin = xin;
*pcos = 1.0f;
return nRet;
}
// Inf/NaN
if (ex == 0xff) {
nRet = ((x.w << 1) == 0xff000000) ? 1 : nRet;
x.w |= 0x00400000;
*psin = *pcos = x.f;
return nRet;
}
ex = ex - 0x7f - 23;
index = 1 + (ex >> 5);
// expon % 32
j = ex & 0x1f;
// x/Pi, scaled by 2^(63-j)
ip_low =
(((unsigned int)__ssincos_ha_invpi_tbl[index]) * ((unsigned int)mx));
IP = (((unsigned long)((unsigned int)(__ssincos_ha_invpi_tbl[index + 1]))) *
((unsigned int)(mx))) +
(((unsigned long)ip_low) << 32);
// scaled by 2^(95-j)
IP2 =
(((unsigned long)((unsigned int)(__ssincos_ha_invpi_tbl[index + 2]))) *
((unsigned int)(mx))) +
((((unsigned long)((unsigned int)(__ssincos_ha_invpi_tbl[index + 3]))) *
((unsigned int)(mx))) >>
32);
IP = IP + (IP2 >> 32);
// scale 2^63
IP <<= j;
// shift low part by 32-j, j in [0,31]
ip_low = (unsigned int)IP2;
ip_low >>= (31 - j);
ip_low >>= 1;
IP |= (unsigned long)ip_low;
} else // main path
{
// products are really unsigned; operands are small enough so that signed
// MuL works as well x*(23-ex)*(1/Pi)*2^28 p[k] products fit in 31 bits each
IP_s = (((long)((int)(mx))) * ((int)(__ssincos_ha___ip_h)));
IP = (unsigned long)IP_s;
IP2_s = (((long)((int)(mx))) * ((int)(__ssincos_ha___ip_m)));
IP2 = (unsigned long)IP2_s;
// scale (23-ex)*2^(28+32+7)
ip_low_s = (((int)mx) * ((int)__ssincos_ha___ip_l));
ip_low = (unsigned int)ip_low_s;
IP2 = (IP2 << 7) + ip_low;
// (x/Pi)*2^63
IP <<= (ex - 0x7f + 12);
// IP3 = IP2 << (37 -0x7f + ex);
IP2 >>= (27 + 0x7f - ex);
IP += IP2;
}
// return to 32-bit, scale 2^31
ip_h = IP >> 32;
// fix sign bit
sgn_xp = ((ip_h + 0x20000000) & 0xc0000000);
// reduced argument (signed, high-low), scale 2^32
ip_h <<= 2;
Rh.f = (float)ip_h;
// reduced argument will need to be normalized
shift = 2 + 30 + 0x7f - ((Rh.w >> 23) & 0xff);
// correction for shift=0
shift = (shift >= 2) ? shift : 2;
// normalize
IP <<= shift; // IP = (IP << shift) | (IP3 >> (64-shift));
ip_h = IP >> 32;
Rh.f = (float)ip_h;
ip_h -= ((int)Rh.f);
Rl.f = (float)ip_h;
// adjust scale
scale.w = (0x7f - 31 - shift) << 23;
Rh.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, scale.f, 0.0f);
Rl.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rl.f, scale.f, 0.0f);
// (Rh+Rl)^2
{
R2h = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, Rh.f, 0.0f);
R2l = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, Rh.f, -R2h);
R2l = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rl.f, Rh.f, R2l);
R2l = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, Rl.f, R2l);
};
cpoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__ssincos_ha___cc4.f, R2h,
__ssincos_ha___cc3.f);
spoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__ssincos_ha___cs3.f, R2h,
__ssincos_ha___cs2.f);
cpoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(cpoly.f, R2h,
__ssincos_ha___cc2.f);
cpoly_l.f =
SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(R2l, __ssincos_ha___cc1.f, 0.0f);
spoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(spoly.f, R2h,
__ssincos_ha___cs1.f);
cpoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(cpoly.f, R2h,
__ssincos_ha___cc1l.f);
spoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(spoly.f, R2h,
__ssincos_ha___cs0l.f);
// cc0 + cc1*R2h
Ph = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(R2h, __ssincos_ha___cc1.f, 0.0f);
Pl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(R2h, __ssincos_ha___cc1.f, -Ph);
{
float __ph, __ahl, __ahh;
__ph =
SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Ph, 1.0f, __ssincos_ha___cc0.f);
__ahh = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(__ph, 1.0f,
-__ssincos_ha___cc0.f);
__ahl = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Ph, 1.0f, -__ahh);
Pl = Pl + __ahl;
Ph = __ph;
};
cpoly_l.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(cpoly_l.f, 1.0f, Pl);
cpoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(cpoly.f, R2h, cpoly_l.f);
cpoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(cpoly.f, 1.0f, Ph);
sgn_p = sgn_xp & 0x80000000;
High =
SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, __ssincos_ha___cs0.f, 0.0f);
Low =
SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, __ssincos_ha___cs0.f, -High);
Low = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rl.f, __ssincos_ha___cs0.f, Low);
Low = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(Rh.f, spoly.f, Low);
spoly.f = SPIRV_OCL_BUILTIN(fma, _f32_f32_f32, )(High, 1.0f, Low);
// adjust sign
cpoly.w ^= sgn_p;
spoly.w ^= sgn_p ^ (sgn_xp << 1);
sres.w = (sgn_xp & 0x40000000) ? cpoly.w : spoly.w;
cres.w = (sgn_xp & 0x40000000) ? spoly.w : cpoly.w;
sres.w ^= sgn_x;
*pcos = cres.f;
*psin = sres.f;
return nRet;
}
void __ocl_svml_sincosf_ha(float x, float *y, float *z) {
;
__ocl_svml_internal_ssincos_ha(&x, y, z);
return;
}
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