libmvec-supported-funcs = acos \
+ acosh \
asin \
atan \
atan2 \
_ZGVsMxv_tan;
}
GLIBC_2.40 {
+ _ZGVnN2v_acosh;
+ _ZGVnN2v_acoshf;
+ _ZGVnN4v_acoshf;
+ _ZGVsMxv_acosh;
+ _ZGVsMxv_acoshf;
_ZGVnN2v_cosh;
_ZGVnN2v_coshf;
_ZGVnN4v_coshf;
--- /dev/null
+/* Double-precision vector (Advanced SIMD) acosh function
+
+ Copyright (C) 2024 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/>. */
+
+#define WANT_V_LOG1P_K0_SHORTCUT 1
+#include "v_log1p_inline.h"
+
+const static struct data
+{
+ struct v_log1p_data log1p_consts;
+ uint64x2_t one, thresh;
+} data = {
+ .log1p_consts = V_LOG1P_CONSTANTS_TABLE,
+ .one = V2 (0x3ff0000000000000),
+ .thresh = V2 (0x1ff0000000000000) /* asuint64(0x1p511) - asuint64(1). */
+};
+
+static float64x2_t NOINLINE VPCS_ATTR
+special_case (float64x2_t x, float64x2_t y, uint64x2_t special,
+ const struct v_log1p_data *d)
+{
+ return v_call_f64 (acosh, x, log1p_inline (y, d), special);
+}
+
+/* Vector approximation for double-precision acosh, based on log1p.
+ The largest observed error is 3.02 ULP in the region where the
+ argument to log1p falls in the k=0 interval, i.e. x close to 1:
+ _ZGVnN2v_acosh(0x1.00798aaf80739p+0) got 0x1.f2d6d823bc9dfp-5
+ want 0x1.f2d6d823bc9e2p-5. */
+VPCS_ATTR float64x2_t V_NAME_D1 (acosh) (float64x2_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+ uint64x2_t special
+ = vcgeq_u64 (vsubq_u64 (vreinterpretq_u64_f64 (x), d->one), d->thresh);
+ float64x2_t special_arg = x;
+
+#if WANT_SIMD_EXCEPT
+ if (__glibc_unlikely (v_any_u64 (special)))
+ x = vbslq_f64 (special, vreinterpretq_f64_u64 (d->one), x);
+#endif
+
+ float64x2_t xm1 = vsubq_f64 (x, v_f64 (1));
+ float64x2_t y;
+ y = vaddq_f64 (x, v_f64 (1));
+ y = vmulq_f64 (y, xm1);
+ y = vsqrtq_f64 (y);
+ y = vaddq_f64 (xm1, y);
+
+ if (__glibc_unlikely (v_any_u64 (special)))
+ return special_case (special_arg, y, special, &d->log1p_consts);
+ return log1p_inline (y, &d->log1p_consts);
+}
--- /dev/null
+/* Double-precision vector (SVE) acosh function
+
+ Copyright (C) 2024 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/>. */
+
+#define WANT_SV_LOG1P_K0_SHORTCUT 1
+#include "sv_log1p_inline.h"
+
+#define One (0x3ff0000000000000)
+#define Thres (0x1ff0000000000000) /* asuint64 (0x1p511) - One. */
+
+static svfloat64_t NOINLINE
+special_case (svfloat64_t x, svfloat64_t y, svbool_t special)
+{
+ return sv_call_f64 (acosh, x, y, special);
+}
+
+/* SVE approximation for double-precision acosh, based on log1p.
+ The largest observed error is 3.19 ULP in the region where the
+ argument to log1p falls in the k=0 interval, i.e. x close to 1:
+ SV_NAME_D1 (acosh)(0x1.1e4388d4ca821p+0) got 0x1.ed23399f5137p-2
+ want 0x1.ed23399f51373p-2. */
+svfloat64_t SV_NAME_D1 (acosh) (svfloat64_t x, const svbool_t pg)
+{
+ /* (ix - One) >= (BigBound - One). */
+ svuint64_t ix = svreinterpret_u64 (x);
+ svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres);
+
+ svfloat64_t xm1 = svsub_x (pg, x, 1.0);
+ svfloat64_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0));
+ svfloat64_t y = svadd_x (pg, xm1, svsqrt_x (pg, u));
+
+ /* Fall back to scalar routine for special lanes. */
+ if (__glibc_unlikely (svptest_any (pg, special)))
+ return special_case (x, sv_log1p_inline (y, pg), special);
+ return sv_log1p_inline (y, pg);
+}
--- /dev/null
+/* Single-precision vector (Advanced SIMD) acosh function
+
+ Copyright (C) 2024 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_log1pf_inline.h"
+
+#define SquareLim 0x1p64
+
+const static struct data
+{
+ struct v_log1pf_data log1pf_consts;
+ uint32x4_t one;
+ uint16x4_t thresh;
+} data = {
+ .log1pf_consts = V_LOG1PF_CONSTANTS_TABLE,
+ .one = V4 (0x3f800000),
+ .thresh = V4 (0x2000) /* top(asuint(SquareLim) - asuint(1)). */
+};
+
+static float32x4_t NOINLINE VPCS_ATTR
+special_case (float32x4_t x, float32x4_t y, uint16x4_t special,
+ const struct v_log1pf_data d)
+{
+ return v_call_f32 (acoshf, x, log1pf_inline (y, d), vmovl_u16 (special));
+}
+
+/* Vector approximation for single-precision acosh, based on log1p. Maximum
+ error depends on WANT_SIMD_EXCEPT. With SIMD fp exceptions enabled, it
+ is 2.78 ULP:
+ __v_acoshf(0x1.07887p+0) got 0x1.ef9e9cp-3
+ want 0x1.ef9ea2p-3.
+ With exceptions disabled, we can compute u with a shorter dependency chain,
+ which gives maximum error of 3.07 ULP:
+ __v_acoshf(0x1.01f83ep+0) got 0x1.fbc7fap-4
+ want 0x1.fbc7f4p-4. */
+
+VPCS_ATTR float32x4_t NOINLINE V_NAME_F1 (acosh) (float32x4_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+ uint32x4_t ix = vreinterpretq_u32_f32 (x);
+ uint16x4_t special = vcge_u16 (vsubhn_u32 (ix, d->one), d->thresh);
+
+#if WANT_SIMD_EXCEPT
+ /* Mask special lanes with 1 to side-step spurious invalid or overflow. Use
+ only xm1 to calculate u, as operating on x will trigger invalid for NaN.
+ Widening sign-extend special predicate in order to mask with it. */
+ uint32x4_t p
+ = vreinterpretq_u32_s32 (vmovl_s16 (vreinterpret_s16_u16 (special)));
+ float32x4_t xm1 = v_zerofy_f32 (vsubq_f32 (x, v_f32 (1)), p);
+ float32x4_t u = vfmaq_f32 (vaddq_f32 (xm1, xm1), xm1, xm1);
+#else
+ float32x4_t xm1 = vsubq_f32 (x, v_f32 (1));
+ float32x4_t u = vmulq_f32 (xm1, vaddq_f32 (x, v_f32 (1.0f)));
+#endif
+
+ float32x4_t y = vaddq_f32 (xm1, vsqrtq_f32 (u));
+
+ if (__glibc_unlikely (v_any_u16h (special)))
+ return special_case (x, y, special, d->log1pf_consts);
+ return log1pf_inline (y, d->log1pf_consts);
+}
+libmvec_hidden_def (V_NAME_F1 (acosh))
+HALF_WIDTH_ALIAS_F1 (acosh)
--- /dev/null
+/* Single-precision vector (SVE) acosh function
+
+ Copyright (C) 2024 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/>. */
+
+#define One 0x3f800000
+#define Thres 0x20000000 /* asuint(0x1p64) - One. */
+
+#include "sv_log1pf_inline.h"
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svfloat32_t y, svbool_t special)
+{
+ return sv_call_f32 (acoshf, x, y, special);
+}
+
+/* Single-precision SVE acosh(x) routine. Implements the same algorithm as
+ vector acoshf and log1p.
+
+ Maximum error is 2.78 ULPs:
+ SV_NAME_F1 (acosh) (0x1.01e996p+0) got 0x1.f45b42p-4
+ want 0x1.f45b3cp-4. */
+svfloat32_t SV_NAME_F1 (acosh) (svfloat32_t x, const svbool_t pg)
+{
+ svuint32_t ix = svreinterpret_u32 (x);
+ svbool_t special = svcmpge (pg, svsub_x (pg, ix, One), Thres);
+
+ svfloat32_t xm1 = svsub_x (pg, x, 1.0f);
+ svfloat32_t u = svmul_x (pg, xm1, svadd_x (pg, x, 1.0f));
+ svfloat32_t y = sv_log1pf_inline (svadd_x (pg, xm1, svsqrt_x (pg, u)), pg);
+
+ if (__glibc_unlikely (svptest_any (pg, special)))
+ return special_case (x, y, special);
+ return y;
+}
<https://www.gnu.org/licenses/>. */
libmvec_hidden_proto (V_NAME_F1(acos));
+libmvec_hidden_proto (V_NAME_F1(acosh));
libmvec_hidden_proto (V_NAME_F1(asin));
libmvec_hidden_proto (V_NAME_F1(atan));
libmvec_hidden_proto (V_NAME_F1(cos));
# define __DECL_SIMD_acos __DECL_SIMD_aarch64
# undef __DECL_SIMD_acosf
# define __DECL_SIMD_acosf __DECL_SIMD_aarch64
+# undef __DECL_SIMD_acosh
+# define __DECL_SIMD_acosh __DECL_SIMD_aarch64
+# undef __DECL_SIMD_acoshf
+# define __DECL_SIMD_acoshf __DECL_SIMD_aarch64
# undef __DECL_SIMD_asin
# define __DECL_SIMD_asin __DECL_SIMD_aarch64
# undef __DECL_SIMD_asinf
__vpcs __f32x4_t _ZGVnN4vv_atan2f (__f32x4_t, __f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_acosf (__f32x4_t);
+__vpcs __f32x4_t _ZGVnN4v_acoshf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_asinf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_atanf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
__vpcs __f64x2_t _ZGVnN2vv_atan2 (__f64x2_t, __f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_acos (__f64x2_t);
+__vpcs __f64x2_t _ZGVnN2v_acosh (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_asin (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_atan (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_cos (__f64x2_t);
__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_acoshf (__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);
__sv_f32_t _ZGVsMxv_cosf (__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_acosh (__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);
__sv_f64_t _ZGVsMxv_cos (__sv_f64_t, __sv_bool_t);
--- /dev/null
+/* Helper for double-precision SVE routines which depend on log1p
+
+ Copyright (C) 2024 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/>. */
+
+#ifndef AARCH64_FPU_SV_LOG1P_INLINE_H
+#define AARCH64_FPU_SV_LOG1P_INLINE_H
+
+#include "sv_math.h"
+#include "poly_sve_f64.h"
+
+static const struct sv_log1p_data
+{
+ double poly[19], ln2[2];
+ uint64_t hf_rt2_top;
+ uint64_t one_m_hf_rt2_top;
+ uint32_t bottom_mask;
+ int64_t one_top;
+} sv_log1p_data = {
+ /* Coefficients generated using Remez, deg=20, in [sqrt(2)/2-1, sqrt(2)-1].
+ */
+ .poly = { -0x1.ffffffffffffbp-2, 0x1.55555555551a9p-2, -0x1.00000000008e3p-2,
+ 0x1.9999999a32797p-3, -0x1.555555552fecfp-3, 0x1.249248e071e5ap-3,
+ -0x1.ffffff8bf8482p-4, 0x1.c71c8f07da57ap-4, -0x1.9999ca4ccb617p-4,
+ 0x1.7459ad2e1dfa3p-4, -0x1.554d2680a3ff2p-4, 0x1.3b4c54d487455p-4,
+ -0x1.2548a9ffe80e6p-4, 0x1.0f389a24b2e07p-4, -0x1.eee4db15db335p-5,
+ 0x1.e95b494d4a5ddp-5, -0x1.15fdf07cb7c73p-4, 0x1.0310b70800fcfp-4,
+ -0x1.cfa7385bdb37ep-6 },
+ .ln2 = { 0x1.62e42fefa3800p-1, 0x1.ef35793c76730p-45 },
+ .hf_rt2_top = 0x3fe6a09e00000000,
+ .one_m_hf_rt2_top = 0x00095f6200000000,
+ .bottom_mask = 0xffffffff,
+ .one_top = 0x3ff
+};
+
+static inline svfloat64_t
+sv_log1p_inline (svfloat64_t x, const svbool_t pg)
+{
+ /* Helper for calculating log(x + 1). Adapted from v_log1p_inline.h, which
+ differs from v_log1p_2u5.c by:
+ - No special-case handling - this should be dealt with by the caller.
+ - Pairwise Horner polynomial evaluation for improved accuracy.
+ - Optionally simulate the shortcut for k=0, used in the scalar routine,
+ using svsel, for improved accuracy when the argument to log1p is close
+ to 0. This feature is enabled by defining WANT_SV_LOG1P_K0_SHORTCUT as 1
+ in the source of the caller before including this file.
+ See sv_log1p_2u1.c for details of the algorithm. */
+ const struct sv_log1p_data *d = ptr_barrier (&sv_log1p_data);
+ svfloat64_t m = svadd_x (pg, x, 1);
+ svuint64_t mi = svreinterpret_u64 (m);
+ svuint64_t u = svadd_x (pg, mi, d->one_m_hf_rt2_top);
+
+ svint64_t ki
+ = svsub_x (pg, svreinterpret_s64 (svlsr_x (pg, u, 52)), d->one_top);
+ svfloat64_t k = svcvt_f64_x (pg, ki);
+
+ /* Reduce x to f in [sqrt(2)/2, sqrt(2)]. */
+ svuint64_t utop
+ = svadd_x (pg, svand_x (pg, u, 0x000fffff00000000), d->hf_rt2_top);
+ svuint64_t u_red = svorr_x (pg, utop, svand_x (pg, mi, d->bottom_mask));
+ svfloat64_t f = svsub_x (pg, svreinterpret_f64 (u_red), 1);
+
+ /* Correction term c/m. */
+ svfloat64_t c = svsub_x (pg, x, svsub_x (pg, m, 1));
+ svfloat64_t cm;
+
+#ifndef WANT_SV_LOG1P_K0_SHORTCUT
+#error \
+ "Cannot use sv_log1p_inline.h without specifying whether you need the k0 shortcut for greater accuracy close to 0"
+#elif WANT_SV_LOG1P_K0_SHORTCUT
+ /* Shortcut if k is 0 - set correction term to 0 and f to x. The result is
+ that the approximation is solely the polynomial. */
+ svbool_t knot0 = svcmpne (pg, k, 0);
+ cm = svdiv_z (knot0, c, m);
+ if (__glibc_likely (!svptest_any (pg, knot0)))
+ {
+ f = svsel (knot0, f, x);
+ }
+#else
+ /* No shortcut. */
+ cm = svdiv_x (pg, c, m);
+#endif
+
+ /* Approximate log1p(f) on the reduced input using a polynomial. */
+ svfloat64_t f2 = svmul_x (pg, f, f);
+ svfloat64_t p = sv_pw_horner_18_f64_x (pg, f, f2, d->poly);
+
+ /* Assemble log1p(x) = k * log2 + log1p(f) + c/m. */
+ svfloat64_t ylo = svmla_x (pg, cm, k, d->ln2[0]);
+ svfloat64_t yhi = svmla_x (pg, f, k, d->ln2[1]);
+
+ return svmla_x (pg, svadd_x (pg, ylo, yhi), f2, p);
+}
+
+#endif
--- /dev/null
+/* Helper for single-precision SVE routines which depend on log1p
+
+ Copyright (C) 2024 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/>. */
+
+#ifndef AARCH64_FPU_SV_LOG1PF_INLINE_H
+#define AARCH64_FPU_SV_LOG1PF_INLINE_H
+
+#include "sv_math.h"
+#include "vecmath_config.h"
+#include "poly_sve_f32.h"
+
+static const struct sv_log1pf_data
+{
+ float32_t poly[9];
+ float32_t ln2;
+ float32_t scale_back;
+} sv_log1pf_data = {
+ /* Polynomial generated using FPMinimax in [-0.25, 0.5]. */
+ .poly = { -0x1p-1f, 0x1.5555aap-2f, -0x1.000038p-2f, 0x1.99675cp-3f,
+ -0x1.54ef78p-3f, 0x1.28a1f4p-3f, -0x1.0da91p-3f, 0x1.abcb6p-4f,
+ -0x1.6f0d5ep-5f },
+ .scale_back = 0x1.0p-23f,
+ .ln2 = 0x1.62e43p-1f,
+};
+
+static inline svfloat32_t
+eval_poly (svfloat32_t m, const float32_t *c, svbool_t pg)
+{
+ svfloat32_t p_12 = svmla_x (pg, sv_f32 (c[0]), m, sv_f32 (c[1]));
+ svfloat32_t m2 = svmul_x (pg, m, m);
+ svfloat32_t q = svmla_x (pg, m, m2, p_12);
+ svfloat32_t p = sv_pw_horner_6_f32_x (pg, m, m2, c + 2);
+ p = svmul_x (pg, m2, p);
+
+ return svmla_x (pg, q, m2, p);
+}
+
+static inline svfloat32_t
+sv_log1pf_inline (svfloat32_t x, svbool_t pg)
+{
+ const struct sv_log1pf_data *d = ptr_barrier (&sv_log1pf_data);
+
+ svfloat32_t m = svadd_x (pg, x, 1.0f);
+
+ svint32_t ks = svsub_x (pg, svreinterpret_s32 (m),
+ svreinterpret_s32 (svdup_f32 (0.75f)));
+ ks = svand_x (pg, ks, 0xff800000);
+ svuint32_t k = svreinterpret_u32 (ks);
+ svfloat32_t s = svreinterpret_f32 (
+ svsub_x (pg, svreinterpret_u32 (svdup_f32 (4.0f)), k));
+
+ svfloat32_t m_scale
+ = svreinterpret_f32 (svsub_x (pg, svreinterpret_u32 (x), k));
+ m_scale
+ = svadd_x (pg, m_scale, svmla_x (pg, sv_f32 (-1.0f), sv_f32 (0.25f), s));
+ svfloat32_t p = eval_poly (m_scale, d->poly, pg);
+ svfloat32_t scale_back = svmul_x (pg, svcvt_f32_x (pg, k), d->scale_back);
+ return svmla_x (pg, p, scale_back, d->ln2);
+}
+
+#endif
#define VEC_TYPE float64x2_t
VPCS_VECTOR_WRAPPER (acos_advsimd, _ZGVnN2v_acos)
+VPCS_VECTOR_WRAPPER (acosh_advsimd, _ZGVnN2v_acosh)
VPCS_VECTOR_WRAPPER (asin_advsimd, _ZGVnN2v_asin)
VPCS_VECTOR_WRAPPER (atan_advsimd, _ZGVnN2v_atan)
VPCS_VECTOR_WRAPPER_ff (atan2_advsimd, _ZGVnN2vv_atan2)
}
SVE_VECTOR_WRAPPER (acos_sve, _ZGVsMxv_acos)
+SVE_VECTOR_WRAPPER (acosh_sve, _ZGVsMxv_acosh)
SVE_VECTOR_WRAPPER (asin_sve, _ZGVsMxv_asin)
SVE_VECTOR_WRAPPER (atan_sve, _ZGVsMxv_atan)
SVE_VECTOR_WRAPPER_ff (atan2_sve, _ZGVsMxvv_atan2)
#define VEC_TYPE float32x4_t
VPCS_VECTOR_WRAPPER (acosf_advsimd, _ZGVnN4v_acosf)
+VPCS_VECTOR_WRAPPER (acoshf_advsimd, _ZGVnN4v_acoshf)
VPCS_VECTOR_WRAPPER (asinf_advsimd, _ZGVnN4v_asinf)
VPCS_VECTOR_WRAPPER (atanf_advsimd, _ZGVnN4v_atanf)
VPCS_VECTOR_WRAPPER_ff (atan2f_advsimd, _ZGVnN4vv_atan2f)
}
SVE_VECTOR_WRAPPER (acosf_sve, _ZGVsMxv_acosf)
+SVE_VECTOR_WRAPPER (acoshf_sve, _ZGVsMxv_acoshf)
SVE_VECTOR_WRAPPER (asinf_sve, _ZGVsMxv_asinf)
SVE_VECTOR_WRAPPER (atanf_sve, _ZGVsMxv_atanf)
SVE_VECTOR_WRAPPER_ff (atan2f_sve, _ZGVsMxvv_atan2f)
--- /dev/null
+/* Helper for double-precision Advanced SIMD routines which depend on log1p
+
+ Copyright (C) 2024 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/>. */
+
+#ifndef AARCH64_FPU_V_LOG1P_INLINE_H
+#define AARCH64_FPU_V_LOG1P_INLINE_H
+
+#include "v_math.h"
+#include "poly_advsimd_f64.h"
+
+struct v_log1p_data
+{
+ float64x2_t poly[19], ln2[2];
+ uint64x2_t hf_rt2_top, one_m_hf_rt2_top, umask;
+ int64x2_t one_top;
+};
+
+/* Coefficients generated using Remez, deg=20, in [sqrt(2)/2-1, sqrt(2)-1]. */
+#define V_LOG1P_CONSTANTS_TABLE \
+ { \
+ .poly = { V2 (-0x1.ffffffffffffbp-2), V2 (0x1.55555555551a9p-2), \
+ V2 (-0x1.00000000008e3p-2), V2 (0x1.9999999a32797p-3), \
+ V2 (-0x1.555555552fecfp-3), V2 (0x1.249248e071e5ap-3), \
+ V2 (-0x1.ffffff8bf8482p-4), V2 (0x1.c71c8f07da57ap-4), \
+ V2 (-0x1.9999ca4ccb617p-4), V2 (0x1.7459ad2e1dfa3p-4), \
+ V2 (-0x1.554d2680a3ff2p-4), V2 (0x1.3b4c54d487455p-4), \
+ V2 (-0x1.2548a9ffe80e6p-4), V2 (0x1.0f389a24b2e07p-4), \
+ V2 (-0x1.eee4db15db335p-5), V2 (0x1.e95b494d4a5ddp-5), \
+ V2 (-0x1.15fdf07cb7c73p-4), V2 (0x1.0310b70800fcfp-4), \
+ V2 (-0x1.cfa7385bdb37ep-6) }, \
+ .ln2 = { V2 (0x1.62e42fefa3800p-1), V2 (0x1.ef35793c76730p-45) }, \
+ .hf_rt2_top = V2 (0x3fe6a09e00000000), \
+ .one_m_hf_rt2_top = V2 (0x00095f6200000000), \
+ .umask = V2 (0x000fffff00000000), .one_top = V2 (0x3ff) \
+ }
+
+#define BottomMask v_u64 (0xffffffff)
+
+static inline float64x2_t
+log1p_inline (float64x2_t x, const struct v_log1p_data *d)
+{
+ /* Helper for calculating log(x + 1). Copied from v_log1p_2u5.c, with several
+ modifications:
+ - No special-case handling - this should be dealt with by the caller.
+ - Pairwise Horner polynomial evaluation for improved accuracy.
+ - Optionally simulate the shortcut for k=0, used in the scalar routine,
+ using v_sel, for improved accuracy when the argument to log1p is close to
+ 0. This feature is enabled by defining WANT_V_LOG1P_K0_SHORTCUT as 1 in
+ the source of the caller before including this file.
+ See v_log1pf_2u1.c for details of the algorithm. */
+ float64x2_t m = vaddq_f64 (x, v_f64 (1));
+ uint64x2_t mi = vreinterpretq_u64_f64 (m);
+ uint64x2_t u = vaddq_u64 (mi, d->one_m_hf_rt2_top);
+
+ int64x2_t ki
+ = vsubq_s64 (vreinterpretq_s64_u64 (vshrq_n_u64 (u, 52)), d->one_top);
+ float64x2_t k = vcvtq_f64_s64 (ki);
+
+ /* Reduce x to f in [sqrt(2)/2, sqrt(2)]. */
+ uint64x2_t utop = vaddq_u64 (vandq_u64 (u, d->umask), d->hf_rt2_top);
+ uint64x2_t u_red = vorrq_u64 (utop, vandq_u64 (mi, BottomMask));
+ float64x2_t f = vsubq_f64 (vreinterpretq_f64_u64 (u_red), v_f64 (1));
+
+ /* Correction term c/m. */
+ float64x2_t cm = vdivq_f64 (vsubq_f64 (x, vsubq_f64 (m, v_f64 (1))), m);
+
+#ifndef WANT_V_LOG1P_K0_SHORTCUT
+#error \
+ "Cannot use v_log1p_inline.h without specifying whether you need the k0 shortcut for greater accuracy close to 0"
+#elif WANT_V_LOG1P_K0_SHORTCUT
+ /* Shortcut if k is 0 - set correction term to 0 and f to x. The result is
+ that the approximation is solely the polynomial. */
+ uint64x2_t k0 = vceqzq_f64 (k);
+ cm = v_zerofy_f64 (cm, k0);
+ f = vbslq_f64 (k0, x, f);
+#endif
+
+ /* Approximate log1p(f) on the reduced input using a polynomial. */
+ float64x2_t f2 = vmulq_f64 (f, f);
+ float64x2_t p = v_pw_horner_18_f64 (f, f2, d->poly);
+
+ /* Assemble log1p(x) = k * log2 + log1p(f) + c/m. */
+ float64x2_t ylo = vfmaq_f64 (cm, k, d->ln2[1]);
+ float64x2_t yhi = vfmaq_f64 (f, k, d->ln2[0]);
+ return vfmaq_f64 (vaddq_f64 (ylo, yhi), f2, p);
+}
+
+#endif
--- /dev/null
+/* Helper for single-precision Advanced SIMD routines which depend on log1p
+
+ Copyright (C) 2024 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/>. */
+
+#ifndef AARCH64_FPU_V_LOG1PF_INLINE_H
+#define AARCH64_FPU_V_LOG1PF_INLINE_H
+
+#include "v_math.h"
+#include "poly_advsimd_f32.h"
+
+struct v_log1pf_data
+{
+ float32x4_t poly[8], ln2;
+ uint32x4_t four;
+ int32x4_t three_quarters;
+};
+
+/* Polynomial generated using FPMinimax in [-0.25, 0.5]. First two coefficients
+ (1, -0.5) are not stored as they can be generated more efficiently. */
+#define V_LOG1PF_CONSTANTS_TABLE \
+ { \
+ .poly \
+ = { V4 (0x1.5555aap-2f), V4 (-0x1.000038p-2f), V4 (0x1.99675cp-3f), \
+ V4 (-0x1.54ef78p-3f), V4 (0x1.28a1f4p-3f), V4 (-0x1.0da91p-3f), \
+ V4 (0x1.abcb6p-4f), V4 (-0x1.6f0d5ep-5f) }, \
+ .ln2 = V4 (0x1.62e43p-1f), .four = V4 (0x40800000), \
+ .three_quarters = V4 (0x3f400000) \
+ }
+
+static inline float32x4_t
+eval_poly (float32x4_t m, const float32x4_t *c)
+{
+ /* Approximate log(1+m) on [-0.25, 0.5] using pairwise Horner (main routine
+ uses split Estrin, but this way reduces register pressure in the calling
+ routine). */
+ float32x4_t q = vfmaq_f32 (v_f32 (-0.5), m, c[0]);
+ float32x4_t m2 = vmulq_f32 (m, m);
+ q = vfmaq_f32 (m, m2, q);
+ float32x4_t p = v_pw_horner_6_f32 (m, m2, c + 1);
+ p = vmulq_f32 (m2, p);
+ return vfmaq_f32 (q, m2, p);
+}
+
+static inline float32x4_t
+log1pf_inline (float32x4_t x, const struct v_log1pf_data d)
+{
+ /* Helper for calculating log(x + 1). Copied from log1pf_2u1.c, with no
+ special-case handling. See that file for details of the algorithm. */
+ float32x4_t m = vaddq_f32 (x, v_f32 (1.0f));
+ int32x4_t k
+ = vandq_s32 (vsubq_s32 (vreinterpretq_s32_f32 (m), d.three_quarters),
+ v_s32 (0xff800000));
+ uint32x4_t ku = vreinterpretq_u32_s32 (k);
+ float32x4_t s = vreinterpretq_f32_u32 (vsubq_u32 (d.four, ku));
+ float32x4_t m_scale
+ = vreinterpretq_f32_u32 (vsubq_u32 (vreinterpretq_u32_f32 (x), ku));
+ m_scale = vaddq_f32 (m_scale, vfmaq_f32 (v_f32 (-1.0f), v_f32 (0.25f), s));
+ float32x4_t p = eval_poly (m_scale, d.poly);
+ float32x4_t scale_back = vmulq_f32 (vcvtq_f32_s32 (k), v_f32 (0x1.0p-23f));
+ return vfmaq_f32 (p, scale_back, d.ln2);
+}
+
+#endif
p[2] ? f (x1[2], x2[2]) : y[2],
p[3] ? f (x1[3], x2[3]) : y[3] };
}
+static inline float32x4_t
+v_zerofy_f32 (float32x4_t x, uint32x4_t mask)
+{
+ return vreinterpretq_f32_u32 (vbicq_u32 (vreinterpretq_u32_f32 (x), mask));
+}
static inline float64x2_t
v_f64 (double x)
return (float64x2_t){ p[0] ? f (x1[0], x2[0]) : y[0],
p[1] ? f (x1[1], x2[1]) : y[1] };
}
+static inline float64x2_t
+v_zerofy_f64 (float64x2_t x, uint64x2_t mask)
+{
+ return vreinterpretq_f64_u64 (vbicq_u64 (vreinterpretq_u64_f64 (x), mask));
+}
#endif
float: 2
ldouble: 4
+Function: "acosh_advsimd":
+double: 2
+float: 2
+
Function: "acosh_downward":
double: 2
float: 2
ldouble: 3
+Function: "acosh_sve":
+double: 2
+float: 2
+
Function: "acosh_towardzero":
double: 2
float: 2
GLIBC_2.39 _ZGVsMxv_tanf F
GLIBC_2.39 _ZGVsMxvv_atan2 F
GLIBC_2.39 _ZGVsMxvv_atan2f F
+GLIBC_2.40 _ZGVnN2v_acosh F
+GLIBC_2.40 _ZGVnN2v_acoshf F
GLIBC_2.40 _ZGVnN2v_cosh F
GLIBC_2.40 _ZGVnN2v_coshf F
GLIBC_2.40 _ZGVnN2v_erf F
GLIBC_2.40 _ZGVnN2v_erff F
+GLIBC_2.40 _ZGVnN4v_acoshf F
GLIBC_2.40 _ZGVnN4v_coshf F
GLIBC_2.40 _ZGVnN4v_erff F
+GLIBC_2.40 _ZGVsMxv_acosh F
+GLIBC_2.40 _ZGVsMxv_acoshf F
GLIBC_2.40 _ZGVsMxv_cosh F
GLIBC_2.40 _ZGVsMxv_coshf F
GLIBC_2.40 _ZGVsMxv_erf F
projects / thirdparty / glibc.git / commitdiff
