mirror of
https://sourceware.org/git/glibc.git
synced 2024-11-09 14:50:05 +00:00
aarch64: Add vector implementations of atan2 routines
This commit is contained in:
parent
d30c39f80d
commit
b07038c5d3
@ -1,6 +1,7 @@
|
||||
libmvec-supported-funcs = acos \
|
||||
asin \
|
||||
atan \
|
||||
atan2 \
|
||||
cos \
|
||||
exp \
|
||||
exp10 \
|
||||
|
@ -30,6 +30,10 @@ libmvec {
|
||||
_ZGVnN2v_atan;
|
||||
_ZGVsMxv_atanf;
|
||||
_ZGVsMxv_atan;
|
||||
_ZGVnN4vv_atan2f;
|
||||
_ZGVnN2vv_atan2;
|
||||
_ZGVsMxvv_atan2f;
|
||||
_ZGVsMxvv_atan2;
|
||||
_ZGVnN4v_exp10f;
|
||||
_ZGVnN2v_exp10;
|
||||
_ZGVsMxv_exp10f;
|
||||
|
121
sysdeps/aarch64/fpu/atan2_advsimd.c
Normal file
121
sysdeps/aarch64/fpu/atan2_advsimd.c
Normal file
@ -0,0 +1,121 @@
|
||||
/* Double-precision AdvSIMD atan2
|
||||
|
||||
Copyright (C) 2023 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
The GNU C Library is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU Lesser General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
||||
|
||||
The GNU C Library is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with the GNU C Library; if not, see
|
||||
<https://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "v_math.h"
|
||||
#include "poly_advsimd_f64.h"
|
||||
|
||||
static const struct data
|
||||
{
|
||||
float64x2_t pi_over_2;
|
||||
float64x2_t poly[20];
|
||||
} data = {
|
||||
/* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on
|
||||
the interval [2**-1022, 1.0]. */
|
||||
.poly = { V2 (-0x1.5555555555555p-2), V2 (0x1.99999999996c1p-3),
|
||||
V2 (-0x1.2492492478f88p-3), V2 (0x1.c71c71bc3951cp-4),
|
||||
V2 (-0x1.745d160a7e368p-4), V2 (0x1.3b139b6a88ba1p-4),
|
||||
V2 (-0x1.11100ee084227p-4), V2 (0x1.e1d0f9696f63bp-5),
|
||||
V2 (-0x1.aebfe7b418581p-5), V2 (0x1.842dbe9b0d916p-5),
|
||||
V2 (-0x1.5d30140ae5e99p-5), V2 (0x1.338e31eb2fbbcp-5),
|
||||
V2 (-0x1.00e6eece7de8p-5), V2 (0x1.860897b29e5efp-6),
|
||||
V2 (-0x1.0051381722a59p-6), V2 (0x1.14e9dc19a4a4ep-7),
|
||||
V2 (-0x1.d0062b42fe3bfp-9), V2 (0x1.17739e210171ap-10),
|
||||
V2 (-0x1.ab24da7be7402p-13), V2 (0x1.358851160a528p-16), },
|
||||
.pi_over_2 = V2 (0x1.921fb54442d18p+0),
|
||||
};
|
||||
|
||||
#define SignMask v_u64 (0x8000000000000000)
|
||||
|
||||
/* Special cases i.e. 0, infinity, NaN (fall back to scalar calls). */
|
||||
static float64x2_t VPCS_ATTR NOINLINE
|
||||
special_case (float64x2_t y, float64x2_t x, float64x2_t ret, uint64x2_t cmp)
|
||||
{
|
||||
return v_call2_f64 (atan2, y, x, ret, cmp);
|
||||
}
|
||||
|
||||
/* Returns 1 if input is the bit representation of 0, infinity or nan. */
|
||||
static inline uint64x2_t
|
||||
zeroinfnan (uint64x2_t i)
|
||||
{
|
||||
/* (2 * i - 1) >= (2 * asuint64 (INFINITY) - 1). */
|
||||
return vcgeq_u64 (vsubq_u64 (vaddq_u64 (i, i), v_u64 (1)),
|
||||
v_u64 (2 * asuint64 (INFINITY) - 1));
|
||||
}
|
||||
|
||||
/* Fast implementation of vector atan2.
|
||||
Maximum observed error is 2.8 ulps:
|
||||
_ZGVnN2vv_atan2 (0x1.9651a429a859ap+5, 0x1.953075f4ee26p+5)
|
||||
got 0x1.92d628ab678ccp-1
|
||||
want 0x1.92d628ab678cfp-1. */
|
||||
float64x2_t VPCS_ATTR V_NAME_D2 (atan2) (float64x2_t y, float64x2_t x)
|
||||
{
|
||||
const struct data *data_ptr = ptr_barrier (&data);
|
||||
|
||||
uint64x2_t ix = vreinterpretq_u64_f64 (x);
|
||||
uint64x2_t iy = vreinterpretq_u64_f64 (y);
|
||||
|
||||
uint64x2_t special_cases = vorrq_u64 (zeroinfnan (ix), zeroinfnan (iy));
|
||||
|
||||
uint64x2_t sign_x = vandq_u64 (ix, SignMask);
|
||||
uint64x2_t sign_y = vandq_u64 (iy, SignMask);
|
||||
uint64x2_t sign_xy = veorq_u64 (sign_x, sign_y);
|
||||
|
||||
float64x2_t ax = vabsq_f64 (x);
|
||||
float64x2_t ay = vabsq_f64 (y);
|
||||
|
||||
uint64x2_t pred_xlt0 = vcltzq_f64 (x);
|
||||
uint64x2_t pred_aygtax = vcgtq_f64 (ay, ax);
|
||||
|
||||
/* Set up z for call to atan. */
|
||||
float64x2_t n = vbslq_f64 (pred_aygtax, vnegq_f64 (ax), ay);
|
||||
float64x2_t d = vbslq_f64 (pred_aygtax, ay, ax);
|
||||
float64x2_t z = vdivq_f64 (n, d);
|
||||
|
||||
/* Work out the correct shift. */
|
||||
float64x2_t shift = vreinterpretq_f64_u64 (
|
||||
vandq_u64 (pred_xlt0, vreinterpretq_u64_f64 (v_f64 (-2.0))));
|
||||
shift = vbslq_f64 (pred_aygtax, vaddq_f64 (shift, v_f64 (1.0)), shift);
|
||||
shift = vmulq_f64 (shift, data_ptr->pi_over_2);
|
||||
|
||||
/* Calculate the polynomial approximation.
|
||||
Use split Estrin scheme for P(z^2) with deg(P)=19. Use split instead of
|
||||
full scheme to avoid underflow in x^16.
|
||||
The order 19 polynomial P approximates
|
||||
(atan(sqrt(x))-sqrt(x))/x^(3/2). */
|
||||
float64x2_t z2 = vmulq_f64 (z, z);
|
||||
float64x2_t x2 = vmulq_f64 (z2, z2);
|
||||
float64x2_t x4 = vmulq_f64 (x2, x2);
|
||||
float64x2_t x8 = vmulq_f64 (x4, x4);
|
||||
float64x2_t ret
|
||||
= vfmaq_f64 (v_estrin_7_f64 (z2, x2, x4, data_ptr->poly),
|
||||
v_estrin_11_f64 (z2, x2, x4, x8, data_ptr->poly + 8), x8);
|
||||
|
||||
/* Finalize. y = shift + z + z^3 * P(z^2). */
|
||||
ret = vfmaq_f64 (z, ret, vmulq_f64 (z2, z));
|
||||
ret = vaddq_f64 (ret, shift);
|
||||
|
||||
/* Account for the sign of x and y. */
|
||||
ret = vreinterpretq_f64_u64 (
|
||||
veorq_u64 (vreinterpretq_u64_f64 (ret), sign_xy));
|
||||
|
||||
if (__glibc_unlikely (v_any_u64 (special_cases)))
|
||||
return special_case (y, x, ret, special_cases);
|
||||
|
||||
return ret;
|
||||
}
|
118
sysdeps/aarch64/fpu/atan2_sve.c
Normal file
118
sysdeps/aarch64/fpu/atan2_sve.c
Normal file
@ -0,0 +1,118 @@
|
||||
/* Double-precision SVE atan2
|
||||
|
||||
Copyright (C) 2023 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
The GNU C Library is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU Lesser General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
||||
|
||||
The GNU C Library is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with the GNU C Library; if not, see
|
||||
<https://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "sv_math.h"
|
||||
#include "poly_sve_f64.h"
|
||||
|
||||
static const struct data
|
||||
{
|
||||
float64_t poly[20];
|
||||
float64_t pi_over_2;
|
||||
} data = {
|
||||
/* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on
|
||||
[2**-1022, 1.0]. */
|
||||
.poly = { -0x1.5555555555555p-2, 0x1.99999999996c1p-3, -0x1.2492492478f88p-3,
|
||||
0x1.c71c71bc3951cp-4, -0x1.745d160a7e368p-4, 0x1.3b139b6a88ba1p-4,
|
||||
-0x1.11100ee084227p-4, 0x1.e1d0f9696f63bp-5, -0x1.aebfe7b418581p-5,
|
||||
0x1.842dbe9b0d916p-5, -0x1.5d30140ae5e99p-5, 0x1.338e31eb2fbbcp-5,
|
||||
-0x1.00e6eece7de8p-5, 0x1.860897b29e5efp-6, -0x1.0051381722a59p-6,
|
||||
0x1.14e9dc19a4a4ep-7, -0x1.d0062b42fe3bfp-9, 0x1.17739e210171ap-10,
|
||||
-0x1.ab24da7be7402p-13, 0x1.358851160a528p-16, },
|
||||
.pi_over_2 = 0x1.921fb54442d18p+0,
|
||||
};
|
||||
|
||||
/* Useful constants. */
|
||||
#define SignMask sv_u64 (0x8000000000000000)
|
||||
|
||||
/* Special cases i.e. 0, infinity, nan (fall back to scalar calls). */
|
||||
static svfloat64_t NOINLINE
|
||||
special_case (svfloat64_t y, svfloat64_t x, svfloat64_t ret,
|
||||
const svbool_t cmp)
|
||||
{
|
||||
return sv_call2_f64 (atan2, y, x, ret, cmp);
|
||||
}
|
||||
|
||||
/* Returns a predicate indicating true if the input is the bit representation
|
||||
of 0, infinity or nan. */
|
||||
static inline svbool_t
|
||||
zeroinfnan (svuint64_t i, const svbool_t pg)
|
||||
{
|
||||
return svcmpge (pg, svsub_x (pg, svlsl_x (pg, i, 1), 1),
|
||||
sv_u64 (2 * asuint64 (INFINITY) - 1));
|
||||
}
|
||||
|
||||
/* Fast implementation of SVE atan2. Errors are greatest when y and
|
||||
x are reasonably close together. The greatest observed error is 2.28 ULP:
|
||||
_ZGVsMxvv_atan2 (-0x1.5915b1498e82fp+732, 0x1.54d11ef838826p+732)
|
||||
got -0x1.954f42f1fa841p-1 want -0x1.954f42f1fa843p-1. */
|
||||
svfloat64_t SV_NAME_D2 (atan2) (svfloat64_t y, svfloat64_t x, const svbool_t pg)
|
||||
{
|
||||
const struct data *data_ptr = ptr_barrier (&data);
|
||||
|
||||
svuint64_t ix = svreinterpret_u64 (x);
|
||||
svuint64_t iy = svreinterpret_u64 (y);
|
||||
|
||||
svbool_t cmp_x = zeroinfnan (ix, pg);
|
||||
svbool_t cmp_y = zeroinfnan (iy, pg);
|
||||
svbool_t cmp_xy = svorr_z (pg, cmp_x, cmp_y);
|
||||
|
||||
svuint64_t sign_x = svand_x (pg, ix, SignMask);
|
||||
svuint64_t sign_y = svand_x (pg, iy, SignMask);
|
||||
svuint64_t sign_xy = sveor_x (pg, sign_x, sign_y);
|
||||
|
||||
svfloat64_t ax = svabs_x (pg, x);
|
||||
svfloat64_t ay = svabs_x (pg, y);
|
||||
|
||||
svbool_t pred_xlt0 = svcmplt (pg, x, 0.0);
|
||||
svbool_t pred_aygtax = svcmpgt (pg, ay, ax);
|
||||
|
||||
/* Set up z for call to atan. */
|
||||
svfloat64_t n = svsel (pred_aygtax, svneg_x (pg, ax), ay);
|
||||
svfloat64_t d = svsel (pred_aygtax, ay, ax);
|
||||
svfloat64_t z = svdiv_x (pg, n, d);
|
||||
|
||||
/* Work out the correct shift. */
|
||||
svfloat64_t shift = svsel (pred_xlt0, sv_f64 (-2.0), sv_f64 (0.0));
|
||||
shift = svsel (pred_aygtax, svadd_x (pg, shift, 1.0), shift);
|
||||
shift = svmul_x (pg, shift, data_ptr->pi_over_2);
|
||||
|
||||
/* Use split Estrin scheme for P(z^2) with deg(P)=19. */
|
||||
svfloat64_t z2 = svmul_x (pg, z, z);
|
||||
svfloat64_t x2 = svmul_x (pg, z2, z2);
|
||||
svfloat64_t x4 = svmul_x (pg, x2, x2);
|
||||
svfloat64_t x8 = svmul_x (pg, x4, x4);
|
||||
|
||||
svfloat64_t ret = svmla_x (
|
||||
pg, sv_estrin_7_f64_x (pg, z2, x2, x4, data_ptr->poly),
|
||||
sv_estrin_11_f64_x (pg, z2, x2, x4, x8, data_ptr->poly + 8), x8);
|
||||
|
||||
/* y = shift + z + z^3 * P(z^2). */
|
||||
svfloat64_t z3 = svmul_x (pg, z2, z);
|
||||
ret = svmla_x (pg, z, z3, ret);
|
||||
|
||||
ret = svadd_m (pg, ret, shift);
|
||||
|
||||
/* Account for the sign of x and y. */
|
||||
ret = svreinterpret_f64 (sveor_x (pg, svreinterpret_u64 (ret), sign_xy));
|
||||
|
||||
if (__glibc_unlikely (svptest_any (pg, cmp_xy)))
|
||||
return special_case (y, x, ret, cmp_xy);
|
||||
|
||||
return ret;
|
||||
}
|
116
sysdeps/aarch64/fpu/atan2f_advsimd.c
Normal file
116
sysdeps/aarch64/fpu/atan2f_advsimd.c
Normal file
@ -0,0 +1,116 @@
|
||||
/* Single-precision AdvSIMD atan2
|
||||
|
||||
Copyright (C) 2023 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
The GNU C Library is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU Lesser General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
||||
|
||||
The GNU C Library is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with the GNU C Library; if not, see
|
||||
<https://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "v_math.h"
|
||||
#include "poly_advsimd_f32.h"
|
||||
|
||||
static const struct data
|
||||
{
|
||||
float32x4_t poly[8];
|
||||
float32x4_t pi_over_2;
|
||||
} data = {
|
||||
/* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on
|
||||
[2**-128, 1.0].
|
||||
Generated using fpminimax between FLT_MIN and 1. */
|
||||
.poly = { V4 (-0x1.55555p-2f), V4 (0x1.99935ep-3f), V4 (-0x1.24051ep-3f),
|
||||
V4 (0x1.bd7368p-4f), V4 (-0x1.491f0ep-4f), V4 (0x1.93a2c0p-5f),
|
||||
V4 (-0x1.4c3c60p-6f), V4 (0x1.01fd88p-8f) },
|
||||
.pi_over_2 = V4 (0x1.921fb6p+0f),
|
||||
};
|
||||
|
||||
#define SignMask v_u32 (0x80000000)
|
||||
|
||||
/* Special cases i.e. 0, infinity and nan (fall back to scalar calls). */
|
||||
static float32x4_t VPCS_ATTR NOINLINE
|
||||
special_case (float32x4_t y, float32x4_t x, float32x4_t ret, uint32x4_t cmp)
|
||||
{
|
||||
return v_call2_f32 (atan2f, y, x, ret, cmp);
|
||||
}
|
||||
|
||||
/* Returns 1 if input is the bit representation of 0, infinity or nan. */
|
||||
static inline uint32x4_t
|
||||
zeroinfnan (uint32x4_t i)
|
||||
{
|
||||
/* 2 * i - 1 >= 2 * 0x7f800000lu - 1. */
|
||||
return vcgeq_u32 (vsubq_u32 (vmulq_n_u32 (i, 2), v_u32 (1)),
|
||||
v_u32 (2 * 0x7f800000lu - 1));
|
||||
}
|
||||
|
||||
/* Fast implementation of vector atan2f. Maximum observed error is
|
||||
2.95 ULP in [0x1.9300d6p+6 0x1.93c0c6p+6] x [0x1.8c2dbp+6 0x1.8cea6p+6]:
|
||||
_ZGVnN4vv_atan2f (0x1.93836cp+6, 0x1.8cae1p+6) got 0x1.967f06p-1
|
||||
want 0x1.967f00p-1. */
|
||||
float32x4_t VPCS_ATTR V_NAME_F2 (atan2) (float32x4_t y, float32x4_t x)
|
||||
{
|
||||
const struct data *data_ptr = ptr_barrier (&data);
|
||||
|
||||
uint32x4_t ix = vreinterpretq_u32_f32 (x);
|
||||
uint32x4_t iy = vreinterpretq_u32_f32 (y);
|
||||
|
||||
uint32x4_t special_cases = vorrq_u32 (zeroinfnan (ix), zeroinfnan (iy));
|
||||
|
||||
uint32x4_t sign_x = vandq_u32 (ix, SignMask);
|
||||
uint32x4_t sign_y = vandq_u32 (iy, SignMask);
|
||||
uint32x4_t sign_xy = veorq_u32 (sign_x, sign_y);
|
||||
|
||||
float32x4_t ax = vabsq_f32 (x);
|
||||
float32x4_t ay = vabsq_f32 (y);
|
||||
|
||||
uint32x4_t pred_xlt0 = vcltzq_f32 (x);
|
||||
uint32x4_t pred_aygtax = vcgtq_f32 (ay, ax);
|
||||
|
||||
/* Set up z for call to atanf. */
|
||||
float32x4_t n = vbslq_f32 (pred_aygtax, vnegq_f32 (ax), ay);
|
||||
float32x4_t d = vbslq_f32 (pred_aygtax, ay, ax);
|
||||
float32x4_t z = vdivq_f32 (n, d);
|
||||
|
||||
/* Work out the correct shift. */
|
||||
float32x4_t shift = vreinterpretq_f32_u32 (
|
||||
vandq_u32 (pred_xlt0, vreinterpretq_u32_f32 (v_f32 (-2.0f))));
|
||||
shift = vbslq_f32 (pred_aygtax, vaddq_f32 (shift, v_f32 (1.0f)), shift);
|
||||
shift = vmulq_f32 (shift, data_ptr->pi_over_2);
|
||||
|
||||
/* Calculate the polynomial approximation.
|
||||
Use 2-level Estrin scheme for P(z^2) with deg(P)=7. However,
|
||||
a standard implementation using z8 creates spurious underflow
|
||||
in the very last fma (when z^8 is small enough).
|
||||
Therefore, we split the last fma into a mul and an fma.
|
||||
Horner and single-level Estrin have higher errors that exceed
|
||||
threshold. */
|
||||
float32x4_t z2 = vmulq_f32 (z, z);
|
||||
float32x4_t z4 = vmulq_f32 (z2, z2);
|
||||
|
||||
float32x4_t ret = vfmaq_f32 (
|
||||
v_pairwise_poly_3_f32 (z2, z4, data_ptr->poly), z4,
|
||||
vmulq_f32 (z4, v_pairwise_poly_3_f32 (z2, z4, data_ptr->poly + 4)));
|
||||
|
||||
/* y = shift + z * P(z^2). */
|
||||
ret = vaddq_f32 (vfmaq_f32 (z, ret, vmulq_f32 (z2, z)), shift);
|
||||
|
||||
/* Account for the sign of y. */
|
||||
ret = vreinterpretq_f32_u32 (
|
||||
veorq_u32 (vreinterpretq_u32_f32 (ret), sign_xy));
|
||||
|
||||
if (__glibc_unlikely (v_any_u32 (special_cases)))
|
||||
{
|
||||
return special_case (y, x, ret, special_cases);
|
||||
}
|
||||
|
||||
return ret;
|
||||
}
|
110
sysdeps/aarch64/fpu/atan2f_sve.c
Normal file
110
sysdeps/aarch64/fpu/atan2f_sve.c
Normal file
@ -0,0 +1,110 @@
|
||||
/* Single-precision SVE atan2
|
||||
|
||||
Copyright (C) 2023 Free Software Foundation, Inc.
|
||||
This file is part of the GNU C Library.
|
||||
|
||||
The GNU C Library is free software; you can redistribute it and/or
|
||||
modify it under the terms of the GNU Lesser General Public
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
||||
|
||||
The GNU C Library is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
||||
Lesser General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU Lesser General Public
|
||||
License along with the GNU C Library; if not, see
|
||||
<https://www.gnu.org/licenses/>. */
|
||||
|
||||
#include "sv_math.h"
|
||||
#include "poly_sve_f32.h"
|
||||
|
||||
static const struct data
|
||||
{
|
||||
float32_t poly[8];
|
||||
float32_t pi_over_2;
|
||||
} data = {
|
||||
/* Coefficients of polynomial P such that atan(x)~x+x*P(x^2) on
|
||||
[2**-128, 1.0]. */
|
||||
.poly = { -0x1.55555p-2f, 0x1.99935ep-3f, -0x1.24051ep-3f, 0x1.bd7368p-4f,
|
||||
-0x1.491f0ep-4f, 0x1.93a2c0p-5f, -0x1.4c3c60p-6f, 0x1.01fd88p-8f },
|
||||
.pi_over_2 = 0x1.921fb6p+0f,
|
||||
};
|
||||
|
||||
#define SignMask sv_u32 (0x80000000)
|
||||
|
||||
/* Special cases i.e. 0, infinity, nan (fall back to scalar calls). */
|
||||
static inline svfloat32_t
|
||||
special_case (svfloat32_t y, svfloat32_t x, svfloat32_t ret,
|
||||
const svbool_t cmp)
|
||||
{
|
||||
return sv_call2_f32 (atan2f, y, x, ret, cmp);
|
||||
}
|
||||
|
||||
/* Returns a predicate indicating true if the input is the bit representation
|
||||
of 0, infinity or nan. */
|
||||
static inline svbool_t
|
||||
zeroinfnan (svuint32_t i, const svbool_t pg)
|
||||
{
|
||||
return svcmpge (pg, svsub_x (pg, svlsl_x (pg, i, 1), 1),
|
||||
sv_u32 (2 * 0x7f800000lu - 1));
|
||||
}
|
||||
|
||||
/* Fast implementation of SVE atan2f based on atan(x) ~ shift + z + z^3 *
|
||||
P(z^2) with reduction to [0,1] using z=1/x and shift = pi/2. Maximum
|
||||
observed error is 2.95 ULP:
|
||||
_ZGVsMxvv_atan2f (0x1.93836cp+6, 0x1.8cae1p+6) got 0x1.967f06p-1
|
||||
want 0x1.967f00p-1. */
|
||||
svfloat32_t SV_NAME_F2 (atan2) (svfloat32_t y, svfloat32_t x, const svbool_t pg)
|
||||
{
|
||||
const struct data *data_ptr = ptr_barrier (&data);
|
||||
|
||||
svuint32_t ix = svreinterpret_u32 (x);
|
||||
svuint32_t iy = svreinterpret_u32 (y);
|
||||
|
||||
svbool_t cmp_x = zeroinfnan (ix, pg);
|
||||
svbool_t cmp_y = zeroinfnan (iy, pg);
|
||||
svbool_t cmp_xy = svorr_z (pg, cmp_x, cmp_y);
|
||||
|
||||
svuint32_t sign_x = svand_x (pg, ix, SignMask);
|
||||
svuint32_t sign_y = svand_x (pg, iy, SignMask);
|
||||
svuint32_t sign_xy = sveor_x (pg, sign_x, sign_y);
|
||||
|
||||
svfloat32_t ax = svabs_x (pg, x);
|
||||
svfloat32_t ay = svabs_x (pg, y);
|
||||
|
||||
svbool_t pred_xlt0 = svcmplt (pg, x, 0.0);
|
||||
svbool_t pred_aygtax = svcmpgt (pg, ay, ax);
|
||||
|
||||
/* Set up z for call to atan. */
|
||||
svfloat32_t n = svsel (pred_aygtax, svneg_x (pg, ax), ay);
|
||||
svfloat32_t d = svsel (pred_aygtax, ay, ax);
|
||||
svfloat32_t z = svdiv_x (pg, n, d);
|
||||
|
||||
/* Work out the correct shift. */
|
||||
svfloat32_t shift = svsel (pred_xlt0, sv_f32 (-2.0), sv_f32 (0.0));
|
||||
shift = svsel (pred_aygtax, svadd_x (pg, shift, 1.0), shift);
|
||||
shift = svmul_x (pg, shift, sv_f32 (data_ptr->pi_over_2));
|
||||
|
||||
/* Use split Estrin scheme for P(z^2) with deg(P)=7. */
|
||||
svfloat32_t z2 = svmul_x (pg, z, z);
|
||||
svfloat32_t z4 = svmul_x (pg, z2, z2);
|
||||
svfloat32_t z8 = svmul_x (pg, z4, z4);
|
||||
|
||||
svfloat32_t ret = sv_estrin_7_f32_x (pg, z2, z4, z8, data_ptr->poly);
|
||||
|
||||
/* ret = shift + z + z^3 * P(z^2). */
|
||||
svfloat32_t z3 = svmul_x (pg, z2, z);
|
||||
ret = svmla_x (pg, z, z3, ret);
|
||||
|
||||
ret = svadd_m (pg, ret, shift);
|
||||
|
||||
/* Account for the sign of x and y. */
|
||||
ret = svreinterpret_f32 (sveor_x (pg, svreinterpret_u32 (ret), sign_xy));
|
||||
|
||||
if (__glibc_unlikely (svptest_any (pg, cmp_xy)))
|
||||
return special_case (y, x, ret, cmp_xy);
|
||||
|
||||
return ret;
|
||||
}
|
@ -49,6 +49,7 @@ typedef __SVBool_t __sv_bool_t;
|
||||
|
||||
# define __vpcs __attribute__ ((__aarch64_vector_pcs__))
|
||||
|
||||
__vpcs __f32x4_t _ZGVnN4vv_atan2f (__f32x4_t, __f32x4_t);
|
||||
__vpcs __f32x4_t _ZGVnN4v_acosf (__f32x4_t);
|
||||
__vpcs __f32x4_t _ZGVnN4v_asinf (__f32x4_t);
|
||||
__vpcs __f32x4_t _ZGVnN4v_atanf (__f32x4_t);
|
||||
@ -62,6 +63,7 @@ __vpcs __f32x4_t _ZGVnN4v_log2f (__f32x4_t);
|
||||
__vpcs __f32x4_t _ZGVnN4v_sinf (__f32x4_t);
|
||||
__vpcs __f32x4_t _ZGVnN4v_tanf (__f32x4_t);
|
||||
|
||||
__vpcs __f64x2_t _ZGVnN2vv_atan2 (__f64x2_t, __f64x2_t);
|
||||
__vpcs __f64x2_t _ZGVnN2v_acos (__f64x2_t);
|
||||
__vpcs __f64x2_t _ZGVnN2v_asin (__f64x2_t);
|
||||
__vpcs __f64x2_t _ZGVnN2v_atan (__f64x2_t);
|
||||
@ -80,6 +82,7 @@ __vpcs __f64x2_t _ZGVnN2v_tan (__f64x2_t);
|
||||
|
||||
#ifdef __SVE_VEC_MATH_SUPPORTED
|
||||
|
||||
__sv_f32_t _ZGVsMxvv_atan2f (__sv_f32_t, __sv_f32_t, __sv_bool_t);
|
||||
__sv_f32_t _ZGVsMxv_acosf (__sv_f32_t, __sv_bool_t);
|
||||
__sv_f32_t _ZGVsMxv_asinf (__sv_f32_t, __sv_bool_t);
|
||||
__sv_f32_t _ZGVsMxv_atanf (__sv_f32_t, __sv_bool_t);
|
||||
@ -93,6 +96,7 @@ __sv_f32_t _ZGVsMxv_log2f (__sv_f32_t, __sv_bool_t);
|
||||
__sv_f32_t _ZGVsMxv_sinf (__sv_f32_t, __sv_bool_t);
|
||||
__sv_f32_t _ZGVsMxv_tanf (__sv_f32_t, __sv_bool_t);
|
||||
|
||||
__sv_f64_t _ZGVsMxvv_atan2 (__sv_f64_t, __sv_f64_t, __sv_bool_t);
|
||||
__sv_f64_t _ZGVsMxv_acos (__sv_f64_t, __sv_bool_t);
|
||||
__sv_f64_t _ZGVsMxv_asin (__sv_f64_t, __sv_bool_t);
|
||||
__sv_f64_t _ZGVsMxv_atan (__sv_f64_t, __sv_bool_t);
|
||||
|
@ -26,6 +26,7 @@
|
||||
VPCS_VECTOR_WRAPPER (acos_advsimd, _ZGVnN2v_acos)
|
||||
VPCS_VECTOR_WRAPPER (asin_advsimd, _ZGVnN2v_asin)
|
||||
VPCS_VECTOR_WRAPPER (atan_advsimd, _ZGVnN2v_atan)
|
||||
VPCS_VECTOR_WRAPPER_ff (atan2_advsimd, _ZGVnN2vv_atan2)
|
||||
VPCS_VECTOR_WRAPPER (cos_advsimd, _ZGVnN2v_cos)
|
||||
VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp)
|
||||
VPCS_VECTOR_WRAPPER (exp10_advsimd, _ZGVnN2v_exp10)
|
||||
|
@ -32,9 +32,20 @@
|
||||
return svlastb_f64 (svptrue_b64 (), mr); \
|
||||
}
|
||||
|
||||
#define SVE_VECTOR_WRAPPER_ff(scalar_func, vector_func) \
|
||||
extern VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE, svbool_t); \
|
||||
FLOAT scalar_func (FLOAT x, FLOAT y) \
|
||||
{ \
|
||||
VEC_TYPE mx = svdup_n_f64 (x); \
|
||||
VEC_TYPE my = svdup_n_f64 (y); \
|
||||
VEC_TYPE mr = vector_func (mx, my, svptrue_b64 ()); \
|
||||
return svlastb_f64 (svptrue_b64 (), mr); \
|
||||
}
|
||||
|
||||
SVE_VECTOR_WRAPPER (acos_sve, _ZGVsMxv_acos)
|
||||
SVE_VECTOR_WRAPPER (asin_sve, _ZGVsMxv_asin)
|
||||
SVE_VECTOR_WRAPPER (atan_sve, _ZGVsMxv_atan)
|
||||
SVE_VECTOR_WRAPPER_ff (atan2_sve, _ZGVsMxvv_atan2)
|
||||
SVE_VECTOR_WRAPPER (cos_sve, _ZGVsMxv_cos)
|
||||
SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp)
|
||||
SVE_VECTOR_WRAPPER (exp10_sve, _ZGVsMxv_exp10)
|
||||
|
@ -26,6 +26,7 @@
|
||||
VPCS_VECTOR_WRAPPER (acosf_advsimd, _ZGVnN4v_acosf)
|
||||
VPCS_VECTOR_WRAPPER (asinf_advsimd, _ZGVnN4v_asinf)
|
||||
VPCS_VECTOR_WRAPPER (atanf_advsimd, _ZGVnN4v_atanf)
|
||||
VPCS_VECTOR_WRAPPER_ff (atan2f_advsimd, _ZGVnN4vv_atan2f)
|
||||
VPCS_VECTOR_WRAPPER (cosf_advsimd, _ZGVnN4v_cosf)
|
||||
VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf)
|
||||
VPCS_VECTOR_WRAPPER (exp10f_advsimd, _ZGVnN4v_exp10f)
|
||||
|
@ -32,9 +32,20 @@
|
||||
return svlastb_f32 (svptrue_b32 (), mr); \
|
||||
}
|
||||
|
||||
#define SVE_VECTOR_WRAPPER_ff(scalar_func, vector_func) \
|
||||
extern VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE, svbool_t); \
|
||||
FLOAT scalar_func (FLOAT x, FLOAT y) \
|
||||
{ \
|
||||
VEC_TYPE mx = svdup_n_f32 (x); \
|
||||
VEC_TYPE my = svdup_n_f32 (y); \
|
||||
VEC_TYPE mr = vector_func (mx, my, svptrue_b32 ()); \
|
||||
return svlastb_f32 (svptrue_b32 (), mr); \
|
||||
}
|
||||
|
||||
SVE_VECTOR_WRAPPER (acosf_sve, _ZGVsMxv_acosf)
|
||||
SVE_VECTOR_WRAPPER (asinf_sve, _ZGVsMxv_asinf)
|
||||
SVE_VECTOR_WRAPPER (atanf_sve, _ZGVsMxv_atanf)
|
||||
SVE_VECTOR_WRAPPER_ff (atan2f_sve, _ZGVsMxvv_atan2f)
|
||||
SVE_VECTOR_WRAPPER (cosf_sve, _ZGVsMxv_cosf)
|
||||
SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf)
|
||||
SVE_VECTOR_WRAPPER (exp10f_sve, _ZGVsMxv_exp10f)
|
||||
|
@ -29,3 +29,17 @@
|
||||
TEST_VEC_LOOP (mr, VEC_LEN); \
|
||||
return ((FLOAT) mr[0]); \
|
||||
}
|
||||
|
||||
#define VPCS_VECTOR_WRAPPER_ff(scalar_func, vector_func) \
|
||||
extern __attribute__ ((aarch64_vector_pcs)) \
|
||||
VEC_TYPE vector_func (VEC_TYPE, VEC_TYPE); \
|
||||
FLOAT scalar_func (FLOAT x, FLOAT y) \
|
||||
{ \
|
||||
int i; \
|
||||
VEC_TYPE mx, my; \
|
||||
INIT_VEC_LOOP (mx, x, VEC_LEN); \
|
||||
INIT_VEC_LOOP (my, y, VEC_LEN); \
|
||||
VEC_TYPE mr = vector_func (mx, my); \
|
||||
TEST_VEC_LOOP (mr, VEC_LEN); \
|
||||
return ((FLOAT) mr[0]); \
|
||||
}
|
||||
|
@ -35,6 +35,17 @@
|
||||
__ptr; \
|
||||
})
|
||||
|
||||
static inline uint64_t
|
||||
asuint64 (double f)
|
||||
{
|
||||
union
|
||||
{
|
||||
double f;
|
||||
uint64_t i;
|
||||
} u = { f };
|
||||
return u.i;
|
||||
}
|
||||
|
||||
#define V_LOG_POLY_ORDER 6
|
||||
#define V_LOG_TABLE_BITS 7
|
||||
extern const struct v_log_data
|
||||
|
@ -106,11 +106,19 @@ Function: "atan2":
|
||||
float: 1
|
||||
ldouble: 2
|
||||
|
||||
Function: "atan2_advsimd":
|
||||
double: 1
|
||||
float: 2
|
||||
|
||||
Function: "atan2_downward":
|
||||
double: 1
|
||||
float: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "atan2_sve":
|
||||
double: 1
|
||||
float: 2
|
||||
|
||||
Function: "atan2_towardzero":
|
||||
double: 1
|
||||
float: 2
|
||||
|
@ -22,6 +22,7 @@ GLIBC_2.39 _ZGVnN2v_exp2 F
|
||||
GLIBC_2.39 _ZGVnN2v_log10 F
|
||||
GLIBC_2.39 _ZGVnN2v_log2 F
|
||||
GLIBC_2.39 _ZGVnN2v_tan F
|
||||
GLIBC_2.39 _ZGVnN2vv_atan2 F
|
||||
GLIBC_2.39 _ZGVnN4v_acosf F
|
||||
GLIBC_2.39 _ZGVnN4v_asinf F
|
||||
GLIBC_2.39 _ZGVnN4v_atanf F
|
||||
@ -30,6 +31,7 @@ GLIBC_2.39 _ZGVnN4v_exp2f F
|
||||
GLIBC_2.39 _ZGVnN4v_log10f F
|
||||
GLIBC_2.39 _ZGVnN4v_log2f F
|
||||
GLIBC_2.39 _ZGVnN4v_tanf F
|
||||
GLIBC_2.39 _ZGVnN4vv_atan2f F
|
||||
GLIBC_2.39 _ZGVsMxv_acos F
|
||||
GLIBC_2.39 _ZGVsMxv_acosf F
|
||||
GLIBC_2.39 _ZGVsMxv_asin F
|
||||
@ -46,3 +48,5 @@ GLIBC_2.39 _ZGVsMxv_log2 F
|
||||
GLIBC_2.39 _ZGVsMxv_log2f F
|
||||
GLIBC_2.39 _ZGVsMxv_tan F
|
||||
GLIBC_2.39 _ZGVsMxv_tanf F
|
||||
GLIBC_2.39 _ZGVsMxvv_atan2 F
|
||||
GLIBC_2.39 _ZGVsMxvv_atan2f F
|
||||
|
Loading…
Reference in New Issue
Block a user