@@ -3,6 +3,7 @@ libmvec-supported-funcs = acos \
atan \
atan2 \
cos \
+ erf \
exp \
exp10 \
exp2 \
@@ -27,7 +28,11 @@ libmvec-support = $(addsuffix f_advsimd,$(float-advsimd-funcs)) \
v_log_data \
v_exp_data \
v_log2_data \
- v_log10_data
+ v_log10_data \
+ erf_data \
+ erff_data \
+ sv_erf_data \
+ sv_erff_data
endif
sve-cflags = -march=armv8-a+sve
@@ -78,4 +78,11 @@ libmvec {
_ZGVsMxv_tanf;
_ZGVsMxv_tan;
}
+ GLIBC_2.40 {
+ _ZGVnN2v_erf;
+ _ZGVnN2v_erff;
+ _ZGVnN4v_erff;
+ _ZGVsMxv_erf;
+ _ZGVsMxv_erff;
+ }
}
@@ -21,6 +21,7 @@ libmvec_hidden_proto (V_NAME_F1(acos));
libmvec_hidden_proto (V_NAME_F1(asin));
libmvec_hidden_proto (V_NAME_F1(atan));
libmvec_hidden_proto (V_NAME_F1(cos));
+libmvec_hidden_proto (V_NAME_F1(erf));
libmvec_hidden_proto (V_NAME_F1(exp10));
libmvec_hidden_proto (V_NAME_F1(exp2));
libmvec_hidden_proto (V_NAME_F1(exp));
@@ -49,6 +49,10 @@
# define __DECL_SIMD_cos __DECL_SIMD_aarch64
# undef __DECL_SIMD_cosf
# define __DECL_SIMD_cosf __DECL_SIMD_aarch64
+# undef __DECL_SIMD_erf
+# define __DECL_SIMD_erf __DECL_SIMD_aarch64
+# undef __DECL_SIMD_erff
+# define __DECL_SIMD_erff __DECL_SIMD_aarch64
# undef __DECL_SIMD_exp
# define __DECL_SIMD_exp __DECL_SIMD_aarch64
# undef __DECL_SIMD_expf
@@ -120,6 +124,7 @@ __vpcs __f32x4_t _ZGVnN4v_acosf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_asinf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_atanf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
+__vpcs __f32x4_t _ZGVnN4v_erff (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_expf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_exp10f (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_exp2f (__f32x4_t);
@@ -136,6 +141,7 @@ __vpcs __f64x2_t _ZGVnN2v_acos (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_asin (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_atan (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_cos (__f64x2_t);
+__vpcs __f64x2_t _ZGVnN2v_erf (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp10 (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp2 (__f64x2_t);
@@ -157,6 +163,7 @@ __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);
__sv_f32_t _ZGVsMxv_cosf (__sv_f32_t, __sv_bool_t);
+__sv_f32_t _ZGVsMxv_erff (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_expf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_exp2f (__sv_f32_t, __sv_bool_t);
@@ -173,6 +180,7 @@ __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);
__sv_f64_t _ZGVsMxv_cos (__sv_f64_t, __sv_bool_t);
+__sv_f64_t _ZGVsMxv_erf (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_exp2 (__sv_f64_t, __sv_bool_t);
new file mode 100644
@@ -0,0 +1,161 @@
+/* Double-precision vector (Advanced SIMD) erf 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_math.h"
+
+static const struct data
+{
+ float64x2_t third;
+ float64x2_t tenth, two_over_five, two_over_fifteen;
+ float64x2_t two_over_nine, two_over_fortyfive;
+ float64x2_t max, shift;
+#if WANT_SIMD_EXCEPT
+ float64x2_t tiny_bound, huge_bound, scale_minus_one;
+#endif
+} data = {
+ .third = V2 (0x1.5555555555556p-2), /* used to compute 2/3 and 1/6 too. */
+ .two_over_fifteen = V2 (0x1.1111111111111p-3),
+ .tenth = V2 (-0x1.999999999999ap-4),
+ .two_over_five = V2 (-0x1.999999999999ap-2),
+ .two_over_nine = V2 (-0x1.c71c71c71c71cp-3),
+ .two_over_fortyfive = V2 (0x1.6c16c16c16c17p-5),
+ .max = V2 (5.9921875), /* 6 - 1/128. */
+ .shift = V2 (0x1p45),
+#if WANT_SIMD_EXCEPT
+ .huge_bound = V2 (0x1p205),
+ .tiny_bound = V2 (0x1p-226),
+ .scale_minus_one = V2 (0x1.06eba8214db69p-3), /* 2/sqrt(pi) - 1.0. */
+#endif
+};
+
+#define AbsMask 0x7fffffffffffffff
+
+struct entry
+{
+ float64x2_t erf;
+ float64x2_t scale;
+};
+
+static inline struct entry
+lookup (uint64x2_t i)
+{
+ struct entry e;
+ float64x2_t e1 = vld1q_f64 ((float64_t *) (__erf_data.tab + i[0])),
+ e2 = vld1q_f64 ((float64_t *) (__erf_data.tab + i[1]));
+ e.erf = vuzp1q_f64 (e1, e2);
+ e.scale = vuzp2q_f64 (e1, e2);
+ return e;
+}
+
+/* Double-precision implementation of vector erf(x).
+ Approximation based on series expansion near x rounded to
+ nearest multiple of 1/128.
+ Let d = x - r, and scale = 2 / sqrt(pi) * exp(-r^2). For x near r,
+
+ erf(x) ~ erf(r) + scale * d * [
+ + 1
+ - r d
+ + 1/3 (2 r^2 - 1) d^2
+ - 1/6 (r (2 r^2 - 3)) d^3
+ + 1/30 (4 r^4 - 12 r^2 + 3) d^4
+ - 1/90 (4 r^4 - 20 r^2 + 15) d^5
+ ]
+
+ Maximum measure error: 2.29 ULP
+ V_NAME_D1 (erf)(-0x1.00003c924e5d1p-8) got -0x1.20dd59132ebadp-8
+ want -0x1.20dd59132ebafp-8. */
+float64x2_t VPCS_ATTR V_NAME_D1 (erf) (float64x2_t x)
+{
+ const struct data *dat = ptr_barrier (&data);
+
+ float64x2_t a = vabsq_f64 (x);
+ /* Reciprocal conditions that do not catch NaNs so they can be used in BSLs
+ to return expected results. */
+ uint64x2_t a_le_max = vcleq_f64 (a, dat->max);
+ uint64x2_t a_gt_max = vcgtq_f64 (a, dat->max);
+
+#if WANT_SIMD_EXCEPT
+ /* |x| huge or tiny. */
+ uint64x2_t cmp1 = vcgtq_f64 (a, dat->huge_bound);
+ uint64x2_t cmp2 = vcltq_f64 (a, dat->tiny_bound);
+ uint64x2_t cmp = vorrq_u64 (cmp1, cmp2);
+ /* If any lanes are special, mask them with 1 for small x or 8 for large
+ values and retain a copy of a to allow special case handler to fix special
+ lanes later. This is only necessary if fenv exceptions are to be triggered
+ correctly. */
+ if (__glibc_unlikely (v_any_u64 (cmp)))
+ {
+ a = vbslq_f64 (cmp1, v_f64 (8.0), a);
+ a = vbslq_f64 (cmp2, v_f64 (1.0), a);
+ }
+#endif
+
+ /* Set r to multiple of 1/128 nearest to |x|. */
+ float64x2_t shift = dat->shift;
+ float64x2_t z = vaddq_f64 (a, shift);
+
+ /* Lookup erf(r) and scale(r) in table, without shortcut for small values,
+ but with saturated indices for large values and NaNs in order to avoid
+ segfault. */
+ uint64x2_t i
+ = vsubq_u64 (vreinterpretq_u64_f64 (z), vreinterpretq_u64_f64 (shift));
+ i = vbslq_u64 (a_le_max, i, v_u64 (768));
+ struct entry e = lookup (i);
+
+ float64x2_t r = vsubq_f64 (z, shift);
+
+ /* erf(x) ~ erf(r) + scale * d * poly (r, d). */
+ float64x2_t d = vsubq_f64 (a, r);
+ float64x2_t d2 = vmulq_f64 (d, d);
+ float64x2_t r2 = vmulq_f64 (r, r);
+
+ /* poly (d, r) = 1 + p1(r) * d + p2(r) * d^2 + ... + p5(r) * d^5. */
+ float64x2_t p1 = r;
+ float64x2_t p2
+ = vfmsq_f64 (dat->third, r2, vaddq_f64 (dat->third, dat->third));
+ float64x2_t p3 = vmulq_f64 (r, vfmaq_f64 (v_f64 (-0.5), r2, dat->third));
+ float64x2_t p4 = vfmaq_f64 (dat->two_over_five, r2, dat->two_over_fifteen);
+ p4 = vfmsq_f64 (dat->tenth, r2, p4);
+ float64x2_t p5 = vfmaq_f64 (dat->two_over_nine, r2, dat->two_over_fortyfive);
+ p5 = vmulq_f64 (r, vfmaq_f64 (vmulq_f64 (v_f64 (0.5), dat->third), r2, p5));
+
+ float64x2_t p34 = vfmaq_f64 (p3, d, p4);
+ float64x2_t p12 = vfmaq_f64 (p1, d, p2);
+ float64x2_t y = vfmaq_f64 (p34, d2, p5);
+ y = vfmaq_f64 (p12, d2, y);
+
+ y = vfmaq_f64 (e.erf, e.scale, vfmsq_f64 (d, d2, y));
+
+ /* Solves the |x| = inf and NaN cases. */
+ y = vbslq_f64 (a_gt_max, v_f64 (1.0), y);
+
+ /* Copy sign. */
+ y = vbslq_f64 (v_u64 (AbsMask), y, x);
+
+#if WANT_SIMD_EXCEPT
+ if (__glibc_unlikely (v_any_u64 (cmp2)))
+ {
+ /* Neutralise huge values of x before fixing small values. */
+ x = vbslq_f64 (cmp1, v_f64 (1.0), x);
+ /* Fix tiny values that trigger spurious underflow. */
+ return vbslq_f64 (cmp2, vfmaq_f64 (x, dat->scale_minus_one, x), y);
+ }
+#endif
+ return y;
+}
new file mode 100644
@@ -0,0 +1,800 @@
+/* Table for Advanced SIMD erf approximation
+
+ 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 "vecmath_config.h"
+
+/* Lookup table used in erf.
+ For each possible rounded input r (multiples of 1/128), between
+ r = 0.0 and r = 6.0 (769 values):
+ - the first entry __erff_data.tab.erf contains the values of erf(r),
+ - the second entry __erff_data.tab.scale contains the values of
+ 2/sqrt(pi)*exp(-r^2). Note that indices 0 and 1 are never hit by the
+ algorithm, since lookup is performed only for x >= 1/64-1/512. */
+const struct erf_data __erf_data = {
+ .tab = { { 0x0.0000000000000p+0, 0x1.20dd750429b6dp+0 },
+ { 0x1.20dbf3deb1340p-7, 0x1.20d8f1975c85dp+0 },
+ { 0x1.20d77083f17a0p-6, 0x1.20cb67bd452c7p+0 },
+ { 0x1.b137e0cf584dcp-6, 0x1.20b4d8bac36c1p+0 },
+ { 0x1.20c5645dd2538p-5, 0x1.209546ad13ccfp+0 },
+ { 0x1.68e5d3bbc9526p-5, 0x1.206cb4897b148p+0 },
+ { 0x1.b0fafef135745p-5, 0x1.203b261cd0052p+0 },
+ { 0x1.f902a77bd3821p-5, 0x1.2000a00ae3804p+0 },
+ { 0x1.207d480e90658p-4, 0x1.1fbd27cdc72d3p+0 },
+ { 0x1.44703e87e8593p-4, 0x1.1f70c3b4f2cc7p+0 },
+ { 0x1.68591a1e83b5dp-4, 0x1.1f1b7ae44867fp+0 },
+ { 0x1.8c36beb8a8d23p-4, 0x1.1ebd5552f795bp+0 },
+ { 0x1.b0081148a873ap-4, 0x1.1e565bca400d4p+0 },
+ { 0x1.d3cbf7e70a4b3p-4, 0x1.1de697e413d28p+0 },
+ { 0x1.f78159ec8bb50p-4, 0x1.1d6e14099944ap+0 },
+ { 0x1.0d939005f65e5p-3, 0x1.1cecdb718d61cp+0 },
+ { 0x1.1f5e1a35c3b89p-3, 0x1.1c62fa1e869b6p+0 },
+ { 0x1.311fc15f56d14p-3, 0x1.1bd07cdd189acp+0 },
+ { 0x1.42d7fc2f64959p-3, 0x1.1b357141d95d5p+0 },
+ { 0x1.548642321d7c6p-3, 0x1.1a91e5a748165p+0 },
+ { 0x1.662a0bdf7a89fp-3, 0x1.19e5e92b964abp+0 },
+ { 0x1.77c2d2a765f9ep-3, 0x1.19318bae53a04p+0 },
+ { 0x1.895010fdbdbfdp-3, 0x1.1874ddcdfce24p+0 },
+ { 0x1.9ad142662e14dp-3, 0x1.17aff0e56ec10p+0 },
+ { 0x1.ac45e37fe2526p-3, 0x1.16e2d7093cd8cp+0 },
+ { 0x1.bdad72110a648p-3, 0x1.160da304ed92fp+0 },
+ { 0x1.cf076d1233237p-3, 0x1.153068581b781p+0 },
+ { 0x1.e05354b96ff36p-3, 0x1.144b3b337c90cp+0 },
+ { 0x1.f190aa85540e2p-3, 0x1.135e3075d076bp+0 },
+ { 0x1.015f78a3dcf3dp-2, 0x1.12695da8b5bdep+0 },
+ { 0x1.09eed6982b948p-2, 0x1.116cd8fd67618p+0 },
+ { 0x1.127631eb8de32p-2, 0x1.1068b94962e5ep+0 },
+ { 0x1.1af54e232d609p-2, 0x1.0f5d1602f7e41p+0 },
+ { 0x1.236bef825d9a2p-2, 0x1.0e4a073dc1b91p+0 },
+ { 0x1.2bd9db0f7827fp-2, 0x1.0d2fa5a70c168p+0 },
+ { 0x1.343ed6989b7d9p-2, 0x1.0c0e0a8223359p+0 },
+ { 0x1.3c9aa8b84bedap-2, 0x1.0ae54fa490722p+0 },
+ { 0x1.44ed18d9f6462p-2, 0x1.09b58f724416bp+0 },
+ { 0x1.4d35ef3e5372ep-2, 0x1.087ee4d9ad247p+0 },
+ { 0x1.5574f4ffac98ep-2, 0x1.07416b4fbfe7cp+0 },
+ { 0x1.5da9f415ff23fp-2, 0x1.05fd3ecbec297p+0 },
+ { 0x1.65d4b75b00471p-2, 0x1.04b27bc403d30p+0 },
+ { 0x1.6df50a8dff772p-2, 0x1.03613f2812dafp+0 },
+ { 0x1.760aba57a76bfp-2, 0x1.0209a65e29545p+0 },
+ { 0x1.7e15944d9d3e4p-2, 0x1.00abcf3e187a9p+0 },
+ { 0x1.861566f5fd3c0p-2, 0x1.fe8fb01a47307p-1 },
+ { 0x1.8e0a01cab516bp-2, 0x1.fbbbbef34b4b2p-1 },
+ { 0x1.95f3353cbb146p-2, 0x1.f8dc092d58ff8p-1 },
+ { 0x1.9dd0d2b721f39p-2, 0x1.f5f0cdaf15313p-1 },
+ { 0x1.a5a2aca209394p-2, 0x1.f2fa4c16c0019p-1 },
+ { 0x1.ad68966569a87p-2, 0x1.eff8c4b1375dbp-1 },
+ { 0x1.b522646bbda68p-2, 0x1.ecec7870ebca7p-1 },
+ { 0x1.bccfec24855b8p-2, 0x1.e9d5a8e4c934ep-1 },
+ { 0x1.c4710406a65fcp-2, 0x1.e6b4982f158b9p-1 },
+ { 0x1.cc058392a6d2dp-2, 0x1.e38988fc46e72p-1 },
+ { 0x1.d38d4354c3bd0p-2, 0x1.e054be79d3042p-1 },
+ { 0x1.db081ce6e2a48p-2, 0x1.dd167c4cf9d2ap-1 },
+ { 0x1.e275eaf25e458p-2, 0x1.d9cf06898cdafp-1 },
+ { 0x1.e9d68931ae650p-2, 0x1.d67ea1a8b5368p-1 },
+ { 0x1.f129d471eabb1p-2, 0x1.d325927fb9d89p-1 },
+ { 0x1.f86faa9428f9dp-2, 0x1.cfc41e36c7df9p-1 },
+ { 0x1.ffa7ea8eb5fd0p-2, 0x1.cc5a8a3fbea40p-1 },
+ { 0x1.03693a371519cp-1, 0x1.c8e91c4d01368p-1 },
+ { 0x1.06f794ab2cae7p-1, 0x1.c5701a484ef9dp-1 },
+ { 0x1.0a7ef5c18edd2p-1, 0x1.c1efca49a5011p-1 },
+ { 0x1.0dff4f247f6c6p-1, 0x1.be68728e29d5dp-1 },
+ { 0x1.1178930ada115p-1, 0x1.bada596f25436p-1 },
+ { 0x1.14eab43841b55p-1, 0x1.b745c55905bf8p-1 },
+ { 0x1.1855a5fd3dd50p-1, 0x1.b3aafcc27502ep-1 },
+ { 0x1.1bb95c3746199p-1, 0x1.b00a46237d5bep-1 },
+ { 0x1.1f15cb50bc4dep-1, 0x1.ac63e7ecc1411p-1 },
+ { 0x1.226ae840d4d70p-1, 0x1.a8b8287ec6a09p-1 },
+ { 0x1.25b8a88b6dd7fp-1, 0x1.a5074e2157620p-1 },
+ { 0x1.28ff0240d52cdp-1, 0x1.a1519efaf889ep-1 },
+ { 0x1.2c3debfd7d6c1p-1, 0x1.9d97610879642p-1 },
+ { 0x1.2f755ce9a21f4p-1, 0x1.99d8da149c13fp-1 },
+ { 0x1.32a54cb8db67bp-1, 0x1.96164fafd8de3p-1 },
+ { 0x1.35cdb3a9a144dp-1, 0x1.925007283d7aap-1 },
+ { 0x1.38ee8a84beb71p-1, 0x1.8e86458169af8p-1 },
+ { 0x1.3c07ca9cb4f9ep-1, 0x1.8ab94f6caa71dp-1 },
+ { 0x1.3f196dcd0f135p-1, 0x1.86e9694134b9ep-1 },
+ { 0x1.42236e79a5fa6p-1, 0x1.8316d6f48133dp-1 },
+ { 0x1.4525c78dd5966p-1, 0x1.7f41dc12c9e89p-1 },
+ { 0x1.4820747ba2dc2p-1, 0x1.7b6abbb7aaf19p-1 },
+ { 0x1.4b13713ad3513p-1, 0x1.7791b886e7403p-1 },
+ { 0x1.4dfeba47f63ccp-1, 0x1.73b714a552763p-1 },
+ { 0x1.50e24ca35fd2cp-1, 0x1.6fdb11b1e0c34p-1 },
+ { 0x1.53be25d016a4fp-1, 0x1.6bfdf0beddaf5p-1 },
+ { 0x1.569243d2b3a9bp-1, 0x1.681ff24b4ab04p-1 },
+ { 0x1.595ea53035283p-1, 0x1.6441563c665d4p-1 },
+ { 0x1.5c2348ecc4dc3p-1, 0x1.60625bd75d07bp-1 },
+ { 0x1.5ee02e8a71a53p-1, 0x1.5c8341bb23767p-1 },
+ { 0x1.61955607dd15dp-1, 0x1.58a445da7c74cp-1 },
+ { 0x1.6442bfdedd397p-1, 0x1.54c5a57629db0p-1 },
+ { 0x1.66e86d0312e82p-1, 0x1.50e79d1749ac9p-1 },
+ { 0x1.69865ee075011p-1, 0x1.4d0a6889dfd9fp-1 },
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+ { 0x1.fffffffa5b790p-1, 0x1.9423165bc4444p-28 },
+ { 0x1.fffffffabd229p-1, 0x1.7974e743dea3cp-28 },
+ { 0x1.fffffffb18582p-1, 0x1.607e9eacd1050p-28 },
+ { 0x1.fffffffb6d844p-1, 0x1.4924a74dec728p-28 },
+ { 0x1.fffffffbbd0aap-1, 0x1.334d19e0c2160p-28 },
+ { 0x1.fffffffc0748fp-1, 0x1.1edfa3c5f5ccap-28 },
+ { 0x1.fffffffc4c96cp-1, 0x1.0bc56f1b54701p-28 },
+ { 0x1.fffffffc8d462p-1, 0x1.f3d2185e047d9p-29 },
+ { 0x1.fffffffcc9a41p-1, 0x1.d26cb87945e87p-29 },
+ { 0x1.fffffffd01f89p-1, 0x1.b334fac4b9f99p-29 },
+ { 0x1.fffffffd36871p-1, 0x1.96076f7918d1cp-29 },
+ { 0x1.fffffffd678edp-1, 0x1.7ac2d72fc2c63p-29 },
+ { 0x1.fffffffd954aep-1, 0x1.614801550319ep-29 },
+ { 0x1.fffffffdbff2ap-1, 0x1.4979ac8b28926p-29 },
+ { 0x1.fffffffde7ba0p-1, 0x1.333c68e2d0548p-29 },
+ { 0x1.fffffffe0cd16p-1, 0x1.1e767bce37dd7p-29 },
+ { 0x1.fffffffe2f664p-1, 0x1.0b0fc5b6d05a0p-29 },
+ { 0x1.fffffffe4fa30p-1, 0x1.f1e3523b41d7dp-30 },
+ { 0x1.fffffffe6daf7p-1, 0x1.d00de6608effep-30 },
+ { 0x1.fffffffe89b0cp-1, 0x1.b0778b7b3301ap-30 },
+ { 0x1.fffffffea3c9ap-1, 0x1.92fb04ec0f6cfp-30 },
+ { 0x1.fffffffebc1a9p-1, 0x1.77756ec9f78fap-30 },
+ { 0x1.fffffffed2c21p-1, 0x1.5dc61922d5a06p-30 },
+ { 0x1.fffffffee7dc8p-1, 0x1.45ce65699ff6dp-30 },
+ { 0x1.fffffffefb847p-1, 0x1.2f71a5f159970p-30 },
+ { 0x1.ffffffff0dd2bp-1, 0x1.1a94ff571654fp-30 },
+ { 0x1.ffffffff1ede9p-1, 0x1.071f4bbea09ecp-30 },
+ { 0x1.ffffffff2ebdap-1, 0x1.e9f1ff8ddd774p-31 },
+ { 0x1.ffffffff3d843p-1, 0x1.c818223a202c7p-31 },
+ { 0x1.ffffffff4b453p-1, 0x1.a887bd2b4404dp-31 },
+ { 0x1.ffffffff58126p-1, 0x1.8b1a336c5eb6bp-31 },
+ { 0x1.ffffffff63fc3p-1, 0x1.6fab63324088ap-31 },
+ { 0x1.ffffffff6f121p-1, 0x1.56197e30205bap-31 },
+ { 0x1.ffffffff79626p-1, 0x1.3e44e45301b92p-31 },
+ { 0x1.ffffffff82fabp-1, 0x1.281000bfe4c3fp-31 },
+ { 0x1.ffffffff8be77p-1, 0x1.135f28f2d50b4p-31 },
+ { 0x1.ffffffff94346p-1, 0x1.00187dded5975p-31 },
+ { 0x1.ffffffff9bec8p-1, 0x1.dc479de0ef001p-32 },
+ { 0x1.ffffffffa319fp-1, 0x1.bad4fdad3caa1p-32 },
+ { 0x1.ffffffffa9c63p-1, 0x1.9baed3ed27ab8p-32 },
+ { 0x1.ffffffffaffa4p-1, 0x1.7ead9ce4285bbp-32 },
+ { 0x1.ffffffffb5be5p-1, 0x1.63ac6b4edc88ep-32 },
+ { 0x1.ffffffffbb1a2p-1, 0x1.4a88be2a6390cp-32 },
+ { 0x1.ffffffffc014ep-1, 0x1.332259185f1a0p-32 },
+ { 0x1.ffffffffc4b56p-1, 0x1.1d5b1f3793044p-32 },
+ { 0x1.ffffffffc901cp-1, 0x1.0916f04b6e18bp-32 },
+ { 0x1.ffffffffccfffp-1, 0x1.ec77101de6926p-33 },
+ { 0x1.ffffffffd0b56p-1, 0x1.c960bf23153e0p-33 },
+ { 0x1.ffffffffd4271p-1, 0x1.a8bd20fc65ef7p-33 },
+ { 0x1.ffffffffd759dp-1, 0x1.8a61745ec7d1dp-33 },
+ { 0x1.ffffffffda520p-1, 0x1.6e25d0e756261p-33 },
+ { 0x1.ffffffffdd13cp-1, 0x1.53e4f7d1666cbp-33 },
+ { 0x1.ffffffffdfa2dp-1, 0x1.3b7c27a7ddb0ep-33 },
+ { 0x1.ffffffffe202dp-1, 0x1.24caf2c32af14p-33 },
+ { 0x1.ffffffffe4371p-1, 0x1.0fb3186804d0fp-33 },
+ { 0x1.ffffffffe642ap-1, 0x1.f830c0bb41fd7p-34 },
+ { 0x1.ffffffffe8286p-1, 0x1.d3c0f1a91c846p-34 },
+ { 0x1.ffffffffe9eb0p-1, 0x1.b1e5acf351d87p-34 },
+ { 0x1.ffffffffeb8d0p-1, 0x1.92712d259ce66p-34 },
+ { 0x1.ffffffffed10ap-1, 0x1.7538c60a04476p-34 },
+ { 0x1.ffffffffee782p-1, 0x1.5a14b04b47879p-34 },
+ { 0x1.ffffffffefc57p-1, 0x1.40dfd87456f4cp-34 },
+ { 0x1.fffffffff0fa7p-1, 0x1.2977b1172b9d5p-34 },
+ { 0x1.fffffffff218fp-1, 0x1.13bc07e891491p-34 },
+ { 0x1.fffffffff3227p-1, 0x1.ff1dbb4300811p-35 },
+ { 0x1.fffffffff4188p-1, 0x1.d9a880f306bd8p-35 },
+ { 0x1.fffffffff4fc9p-1, 0x1.b6e45220b55e0p-35 },
+ { 0x1.fffffffff5cfdp-1, 0x1.96a0b33f2c4dap-35 },
+ { 0x1.fffffffff6939p-1, 0x1.78b07e9e924acp-35 },
+ { 0x1.fffffffff748ep-1, 0x1.5ce9ab1670dd2p-35 },
+ { 0x1.fffffffff7f0dp-1, 0x1.4325167006bb0p-35 },
+ { 0x1.fffffffff88c5p-1, 0x1.2b3e53538ff3fp-35 },
+ { 0x1.fffffffff91c6p-1, 0x1.15137a7f44864p-35 },
+ { 0x1.fffffffff9a1bp-1, 0x1.0084ff125639dp-35 },
+ { 0x1.fffffffffa1d2p-1, 0x1.daeb0b7311ec7p-36 },
+ { 0x1.fffffffffa8f6p-1, 0x1.b7937d1c40c52p-36 },
+ { 0x1.fffffffffaf92p-1, 0x1.96d082f59ab06p-36 },
+ { 0x1.fffffffffb5b0p-1, 0x1.7872d9fa10aadp-36 },
+ { 0x1.fffffffffbb58p-1, 0x1.5c4e8e37bc7d0p-36 },
+ { 0x1.fffffffffc095p-1, 0x1.423ac0df49a40p-36 },
+ { 0x1.fffffffffc56dp-1, 0x1.2a117230ad284p-36 },
+ { 0x1.fffffffffc9e8p-1, 0x1.13af4f04f9998p-36 },
+ { 0x1.fffffffffce0dp-1, 0x1.fde703724e560p-37 },
+ { 0x1.fffffffffd1e1p-1, 0x1.d77f0c82e7641p-37 },
+ { 0x1.fffffffffd56cp-1, 0x1.b3ee02611d7ddp-37 },
+ { 0x1.fffffffffd8b3p-1, 0x1.92ff33023d5bdp-37 },
+ { 0x1.fffffffffdbbap-1, 0x1.7481a9e69f53fp-37 },
+ { 0x1.fffffffffde86p-1, 0x1.5847eda620959p-37 },
+ { 0x1.fffffffffe11dp-1, 0x1.3e27c1fcc74bdp-37 },
+ { 0x1.fffffffffe380p-1, 0x1.25f9ee0b923dcp-37 },
+ { 0x1.fffffffffe5b6p-1, 0x1.0f9a0686531ffp-37 },
+ { 0x1.fffffffffe7c0p-1, 0x1.f5cc7718082afp-38 },
+ { 0x1.fffffffffe9a2p-1, 0x1.cf7e53d6a2ca5p-38 },
+ { 0x1.fffffffffeb60p-1, 0x1.ac0f5f3229372p-38 },
+ { 0x1.fffffffffecfbp-1, 0x1.8b498644847eap-38 },
+ { 0x1.fffffffffee77p-1, 0x1.6cfa9bcca59dcp-38 },
+ { 0x1.fffffffffefd6p-1, 0x1.50f411d4fd2cdp-38 },
+ { 0x1.ffffffffff11ap-1, 0x1.370ab8327af5ep-38 },
+ { 0x1.ffffffffff245p-1, 0x1.1f167f88c6b6ep-38 },
+ { 0x1.ffffffffff359p-1, 0x1.08f24085d4597p-38 },
+ { 0x1.ffffffffff457p-1, 0x1.e8f70e181d619p-39 },
+ { 0x1.ffffffffff542p-1, 0x1.c324c20e337dcp-39 },
+ { 0x1.ffffffffff61bp-1, 0x1.a03261574b54ep-39 },
+ { 0x1.ffffffffff6e3p-1, 0x1.7fe903cdf5855p-39 },
+ { 0x1.ffffffffff79bp-1, 0x1.6215c58da3450p-39 },
+ { 0x1.ffffffffff845p-1, 0x1.46897d4b69fc6p-39 },
+ { 0x1.ffffffffff8e2p-1, 0x1.2d1877d731b7bp-39 },
+ { 0x1.ffffffffff973p-1, 0x1.159a386b11517p-39 },
+ { 0x1.ffffffffff9f8p-1, 0x1.ffd27ae9393cep-40 },
+ { 0x1.ffffffffffa73p-1, 0x1.d7c593130dd0bp-40 },
+ { 0x1.ffffffffffae4p-1, 0x1.b2cd607c79bcfp-40 },
+ { 0x1.ffffffffffb4cp-1, 0x1.90ae4d3405651p-40 },
+ { 0x1.ffffffffffbadp-1, 0x1.71312dd1759e2p-40 },
+ { 0x1.ffffffffffc05p-1, 0x1.5422ef5d8949dp-40 },
+ { 0x1.ffffffffffc57p-1, 0x1.39544b0ecc957p-40 },
+ { 0x1.ffffffffffca2p-1, 0x1.20997f73e73ddp-40 },
+ { 0x1.ffffffffffce7p-1, 0x1.09ca0eaacd277p-40 },
+ { 0x1.ffffffffffd27p-1, 0x1.e9810295890ecp-41 },
+ { 0x1.ffffffffffd62p-1, 0x1.c2b45b5aa4a1dp-41 },
+ { 0x1.ffffffffffd98p-1, 0x1.9eee068fa7596p-41 },
+ { 0x1.ffffffffffdcap-1, 0x1.7df2b399c10a8p-41 },
+ { 0x1.ffffffffffdf8p-1, 0x1.5f8b87a31bd85p-41 },
+ { 0x1.ffffffffffe22p-1, 0x1.4385c96e9a2d9p-41 },
+ { 0x1.ffffffffffe49p-1, 0x1.29b2933ef4cbcp-41 },
+ { 0x1.ffffffffffe6cp-1, 0x1.11e68a6378f8ap-41 },
+ { 0x1.ffffffffffe8dp-1, 0x1.f7f338086a86bp-42 },
+ { 0x1.ffffffffffeabp-1, 0x1.cf8d7d9ce040ap-42 },
+ { 0x1.ffffffffffec7p-1, 0x1.aa577251ae484p-42 },
+ { 0x1.ffffffffffee1p-1, 0x1.8811d739efb5ep-42 },
+ { 0x1.ffffffffffef8p-1, 0x1.68823e52970bep-42 },
+ { 0x1.fffffffffff0ep-1, 0x1.4b72ae68e8b4cp-42 },
+ { 0x1.fffffffffff22p-1, 0x1.30b14dbe876bcp-42 },
+ { 0x1.fffffffffff34p-1, 0x1.181012ef86610p-42 },
+ { 0x1.fffffffffff45p-1, 0x1.01647ba798744p-42 },
+ { 0x1.fffffffffff54p-1, 0x1.d90e917701675p-43 },
+ { 0x1.fffffffffff62p-1, 0x1.b2a87e86d0c8ap-43 },
+ { 0x1.fffffffffff6fp-1, 0x1.8f53dcb377293p-43 },
+ { 0x1.fffffffffff7bp-1, 0x1.6ed2f2515e933p-43 },
+ { 0x1.fffffffffff86p-1, 0x1.50ecc9ed47f19p-43 },
+ { 0x1.fffffffffff90p-1, 0x1.356cd5ce7799ep-43 },
+ { 0x1.fffffffffff9ap-1, 0x1.1c229a587ab78p-43 },
+ { 0x1.fffffffffffa2p-1, 0x1.04e15ecc7f3f6p-43 },
+ { 0x1.fffffffffffaap-1, 0x1.deffc7e6a6017p-44 },
+ { 0x1.fffffffffffb1p-1, 0x1.b7b040832f310p-44 },
+ { 0x1.fffffffffffb8p-1, 0x1.938e021f36d76p-44 },
+ { 0x1.fffffffffffbep-1, 0x1.7258610b3b233p-44 },
+ { 0x1.fffffffffffc3p-1, 0x1.53d3bfc82a909p-44 },
+ { 0x1.fffffffffffc8p-1, 0x1.37c92babdc2fdp-44 },
+ { 0x1.fffffffffffcdp-1, 0x1.1e06010120f6ap-44 },
+ { 0x1.fffffffffffd1p-1, 0x1.065b9616170d4p-44 },
+ { 0x1.fffffffffffd5p-1, 0x1.e13dd96b3753ap-45 },
+ { 0x1.fffffffffffd9p-1, 0x1.b950d32467392p-45 },
+ { 0x1.fffffffffffdcp-1, 0x1.94a72263259a5p-45 },
+ { 0x1.fffffffffffdfp-1, 0x1.72fd93e036cdcp-45 },
+ { 0x1.fffffffffffe2p-1, 0x1.54164576929abp-45 },
+ { 0x1.fffffffffffe4p-1, 0x1.37b83c521fe96p-45 },
+ { 0x1.fffffffffffe7p-1, 0x1.1daf033182e96p-45 },
+ { 0x1.fffffffffffe9p-1, 0x1.05ca50205d26ap-45 },
+ { 0x1.fffffffffffebp-1, 0x1.dfbb6235639fap-46 },
+ { 0x1.fffffffffffedp-1, 0x1.b7807e294781fp-46 },
+ { 0x1.fffffffffffeep-1, 0x1.9298add70a734p-46 },
+ { 0x1.ffffffffffff0p-1, 0x1.70beaf9c7ffb6p-46 },
+ { 0x1.ffffffffffff1p-1, 0x1.51b2cd6709222p-46 },
+ { 0x1.ffffffffffff3p-1, 0x1.353a6cf7f7fffp-46 },
+ { 0x1.ffffffffffff4p-1, 0x1.1b1fa8cbe84a7p-46 },
+ { 0x1.ffffffffffff5p-1, 0x1.0330f0fd69921p-46 },
+ { 0x1.ffffffffffff6p-1, 0x1.da81670f96f9bp-47 },
+ { 0x1.ffffffffffff7p-1, 0x1.b24a16b4d09aap-47 },
+ { 0x1.ffffffffffff7p-1, 0x1.8d6eeb6efdbd6p-47 },
+ { 0x1.ffffffffffff8p-1, 0x1.6ba91ac734785p-47 },
+ { 0x1.ffffffffffff9p-1, 0x1.4cb7966770ab5p-47 },
+ { 0x1.ffffffffffff9p-1, 0x1.305e9721d0981p-47 },
+ { 0x1.ffffffffffffap-1, 0x1.1667311fff70ap-47 },
+ { 0x1.ffffffffffffbp-1, 0x1.fd3de10d62855p-48 },
+ { 0x1.ffffffffffffbp-1, 0x1.d1aefbcd48d0cp-48 },
+ { 0x1.ffffffffffffbp-1, 0x1.a9cc93c25aca9p-48 },
+ { 0x1.ffffffffffffcp-1, 0x1.85487ee3ea735p-48 },
+ { 0x1.ffffffffffffcp-1, 0x1.63daf8b4b1e0cp-48 },
+ { 0x1.ffffffffffffdp-1, 0x1.45421e69a6ca1p-48 },
+ { 0x1.ffffffffffffdp-1, 0x1.294175802d99ap-48 },
+ { 0x1.ffffffffffffdp-1, 0x1.0fa17bf41068fp-48 },
+ { 0x1.ffffffffffffdp-1, 0x1.f05e82aae2bb9p-49 },
+ { 0x1.ffffffffffffep-1, 0x1.c578101b29058p-49 },
+ { 0x1.ffffffffffffep-1, 0x1.9e39dc5dd2f7cp-49 },
+ { 0x1.ffffffffffffep-1, 0x1.7a553a728bbf2p-49 },
+ { 0x1.ffffffffffffep-1, 0x1.5982008db1304p-49 },
+ { 0x1.ffffffffffffep-1, 0x1.3b7e00422e51bp-49 },
+ { 0x1.ffffffffffffep-1, 0x1.200c898d9ee3ep-49 },
+ { 0x1.fffffffffffffp-1, 0x1.06f5f7eb65a56p-49 },
+ { 0x1.fffffffffffffp-1, 0x1.e00e9148a1d25p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.b623734024e92p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.8fd4e01891bf8p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.6cd44c7470d89p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.4cd9c04158cd7p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.2fa34bf5c8344p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.14f4890ff2461p-50 },
+ { 0x1.fffffffffffffp-1, 0x1.f92c49dfa4df5p-51 },
+ { 0x1.fffffffffffffp-1, 0x1.ccaaea71ab0dfp-51 },
+ { 0x1.fffffffffffffp-1, 0x1.a40829f001197p-51 },
+ { 0x1.0000000000000p+0, 0x1.7eef13b59e96cp-51 },
+ { 0x1.0000000000000p+0, 0x1.5d11e1a252bf5p-51 },
+ { 0x1.0000000000000p+0, 0x1.3e296303b2297p-51 },
+ { 0x1.0000000000000p+0, 0x1.21f47009f43cep-51 },
+ { 0x1.0000000000000p+0, 0x1.083768c5e4541p-51 },
+ { 0x1.0000000000000p+0, 0x1.e1777d831265ep-52 },
+ { 0x1.0000000000000p+0, 0x1.b69f10b0191b5p-52 },
+ { 0x1.0000000000000p+0, 0x1.8f8a3a05b5b52p-52 },
+ { 0x1.0000000000000p+0, 0x1.6be573c40c8e7p-52 },
+ { 0x1.0000000000000p+0, 0x1.4b645ba991fdbp-52 },
+ { 0x1.0000000000000p+0, 0x1.2dc119095729fp-52 },
+ },
+};
new file mode 100644
@@ -0,0 +1,115 @@
+/* Double-precision vector (SVE) erf 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 "sv_math.h"
+
+static const struct data
+{
+ double third;
+ double tenth, two_over_five, two_over_fifteen;
+ double two_over_nine, two_over_fortyfive;
+ double max, shift;
+} data = {
+ .third = 0x1.5555555555556p-2, /* used to compute 2/3 and 1/6 too. */
+ .two_over_fifteen = 0x1.1111111111111p-3,
+ .tenth = -0x1.999999999999ap-4,
+ .two_over_five = -0x1.999999999999ap-2,
+ .two_over_nine = -0x1.c71c71c71c71cp-3,
+ .two_over_fortyfive = 0x1.6c16c16c16c17p-5,
+ .max = 5.9921875, /* 6 - 1/128. */
+ .shift = 0x1p45,
+};
+
+#define SignMask (0x8000000000000000)
+
+/* Double-precision implementation of vector erf(x).
+ Approximation based on series expansion near x rounded to
+ nearest multiple of 1/128.
+ Let d = x - r, and scale = 2 / sqrt(pi) * exp(-r^2). For x near r,
+ erf(x) ~ erf(r) + scale * d * [
+ + 1
+ - r d
+ + 1/3 (2 r^2 - 1) d^2
+ - 1/6 (r (2 r^2 - 3)) d^3
+ + 1/30 (4 r^4 - 12 r^2 + 3) d^4
+ - 1/90 (4 r^4 - 20 r^2 + 15) d^5
+ ]
+
+ Maximum measure error: 2.29 ULP
+ _ZGVsMxv_erf(-0x1.00003c924e5d1p-8) got -0x1.20dd59132ebadp-8
+ want -0x1.20dd59132ebafp-8. */
+svfloat64_t SV_NAME_D1 (erf) (svfloat64_t x, const svbool_t pg)
+{
+ const struct data *dat = ptr_barrier (&data);
+
+ /* |x| >= 6.0 - 1/128. Opposite conditions except none of them catch NaNs so
+ they can be used in lookup and BSLs to yield the expected results. */
+ svbool_t a_ge_max = svacge (pg, x, dat->max);
+ svbool_t a_lt_max = svaclt (pg, x, dat->max);
+
+ /* Set r to multiple of 1/128 nearest to |x|. */
+ svfloat64_t a = svabs_x (pg, x);
+ svfloat64_t shift = sv_f64 (dat->shift);
+ svfloat64_t z = svadd_x (pg, a, shift);
+ svuint64_t i
+ = svsub_x (pg, svreinterpret_u64 (z), svreinterpret_u64 (shift));
+
+ /* Lookup without shortcut for small values but with predicate to avoid
+ segfault for large values and NaNs. */
+ svfloat64_t r = svsub_x (pg, z, shift);
+ svfloat64_t erfr = svld1_gather_index (a_lt_max, __sv_erf_data.erf, i);
+ svfloat64_t scale = svld1_gather_index (a_lt_max, __sv_erf_data.scale, i);
+
+ /* erf(x) ~ erf(r) + scale * d * poly (r, d). */
+ svfloat64_t d = svsub_x (pg, a, r);
+ svfloat64_t d2 = svmul_x (pg, d, d);
+ svfloat64_t r2 = svmul_x (pg, r, r);
+
+ /* poly (d, r) = 1 + p1(r) * d + p2(r) * d^2 + ... + p5(r) * d^5. */
+ svfloat64_t p1 = r;
+ svfloat64_t third = sv_f64 (dat->third);
+ svfloat64_t twothird = svmul_x (pg, third, 2.0);
+ svfloat64_t sixth = svmul_x (pg, third, 0.5);
+ svfloat64_t p2 = svmls_x (pg, third, r2, twothird);
+ svfloat64_t p3 = svmad_x (pg, r2, third, -0.5);
+ p3 = svmul_x (pg, r, p3);
+ svfloat64_t p4
+ = svmla_x (pg, sv_f64 (dat->two_over_five), r2, dat->two_over_fifteen);
+ p4 = svmls_x (pg, sv_f64 (dat->tenth), r2, p4);
+ svfloat64_t p5
+ = svmla_x (pg, sv_f64 (dat->two_over_nine), r2, dat->two_over_fortyfive);
+ p5 = svmla_x (pg, sixth, r2, p5);
+ p5 = svmul_x (pg, r, p5);
+
+ svfloat64_t p34 = svmla_x (pg, p3, d, p4);
+ svfloat64_t p12 = svmla_x (pg, p1, d, p2);
+ svfloat64_t y = svmla_x (pg, p34, d2, p5);
+ y = svmla_x (pg, p12, d2, y);
+
+ y = svmla_x (pg, erfr, scale, svmls_x (pg, d, d2, y));
+
+ /* Solves the |x| = inf and NaN cases. */
+ y = svsel (a_ge_max, sv_f64 (1.0), y);
+
+ /* Copy sign. */
+ svuint64_t ix = svreinterpret_u64 (x);
+ svuint64_t iy = svreinterpret_u64 (y);
+ svuint64_t sign = svand_x (pg, ix, SignMask);
+ return svreinterpret_f64 (svorr_x (pg, sign, iy));
+}
new file mode 100644
@@ -0,0 +1,123 @@
+/* Single-precision vector (Advanced SIMD) erf 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_math.h"
+
+static const struct data
+{
+ float32x4_t max, shift, third;
+#if WANT_SIMD_EXCEPT
+ float32x4_t tiny_bound, scale_minus_one;
+#endif
+} data = {
+ .max = V4 (3.9375), /* 4 - 8/128. */
+ .shift = V4 (0x1p16f),
+ .third = V4 (0x1.555556p-2f), /* 1/3. */
+#if WANT_SIMD_EXCEPT
+ .tiny_bound = V4 (0x1p-62f),
+ .scale_minus_one = V4 (0x1.06eba8p-3f), /* scale - 1.0. */
+#endif
+};
+
+#define AbsMask 0x7fffffff
+
+struct entry
+{
+ float32x4_t erf;
+ float32x4_t scale;
+};
+
+static inline struct entry
+lookup (uint32x4_t i)
+{
+ struct entry e;
+ float64_t t0 = *((float64_t *) (__erff_data.tab + i[0]));
+ float64_t t1 = *((float64_t *) (__erff_data.tab + i[1]));
+ float64_t t2 = *((float64_t *) (__erff_data.tab + i[2]));
+ float64_t t3 = *((float64_t *) (__erff_data.tab + i[3]));
+ float32x4_t e1 = vreinterpretq_f32_f64 ((float64x2_t){ t0, t1 });
+ float32x4_t e2 = vreinterpretq_f32_f64 ((float64x2_t){ t2, t3 });
+ e.erf = vuzp1q_f32 (e1, e2);
+ e.scale = vuzp2q_f32 (e1, e2);
+ return e;
+}
+
+/* Single-precision implementation of vector erf(x).
+ Approximation based on series expansion near x rounded to
+ nearest multiple of 1/128.
+ Let d = x - r, and scale = 2 / sqrt(pi) * exp(-r^2). For x near r,
+
+ erf(x) ~ erf(r) + scale * d * [1 - r * d - 1/3 * d^2]
+
+ Values of erf(r) and scale are read from lookup tables.
+ For |x| > 3.9375, erf(|x|) rounds to 1.0f.
+
+ Maximum error: 1.93 ULP
+ _ZGVnN4v_erff(0x1.c373e6p-9) got 0x1.fd686cp-9
+ want 0x1.fd6868p-9. */
+float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (erf) (float32x4_t x)
+{
+ const struct data *dat = ptr_barrier (&data);
+
+#if WANT_SIMD_EXCEPT
+ /* |x| < 2^-62. */
+ uint32x4_t cmp = vcaltq_f32 (x, dat->tiny_bound);
+ float32x4_t xm = x;
+ /* If any lanes are special, mask them with 1 and retain a copy of x to allow
+ special case handler to fix special lanes later. This is only necessary if
+ fenv exceptions are to be triggered correctly. */
+ if (__glibc_unlikely (v_any_u32 (cmp)))
+ x = vbslq_f32 (cmp, v_f32 (1), x);
+#endif
+
+ float32x4_t a = vabsq_f32 (x);
+ uint32x4_t a_gt_max = vcgtq_f32 (a, dat->max);
+
+ /* Lookup erf(r) and scale(r) in tables, e.g. set erf(r) to 0 and scale to
+ 2/sqrt(pi), when x reduced to r = 0. */
+ float32x4_t shift = dat->shift;
+ float32x4_t z = vaddq_f32 (a, shift);
+
+ uint32x4_t i
+ = vsubq_u32 (vreinterpretq_u32_f32 (z), vreinterpretq_u32_f32 (shift));
+ i = vminq_u32 (i, v_u32 (512));
+ struct entry e = lookup (i);
+
+ float32x4_t r = vsubq_f32 (z, shift);
+
+ /* erf(x) ~ erf(r) + scale * d * (1 - r * d - 1/3 * d^2). */
+ float32x4_t d = vsubq_f32 (a, r);
+ float32x4_t d2 = vmulq_f32 (d, d);
+ float32x4_t y = vfmaq_f32 (r, dat->third, d);
+ y = vfmaq_f32 (e.erf, e.scale, vfmsq_f32 (d, d2, y));
+
+ /* Solves the |x| = inf case. */
+ y = vbslq_f32 (a_gt_max, v_f32 (1.0f), y);
+
+ /* Copy sign. */
+ y = vbslq_f32 (v_u32 (AbsMask), y, x);
+
+#if WANT_SIMD_EXCEPT
+ if (__glibc_unlikely (v_any_u32 (cmp)))
+ return vbslq_f32 (cmp, vfmaq_f32 (xm, dat->scale_minus_one, xm), y);
+#endif
+ return y;
+}
+libmvec_hidden_def (V_NAME_F1 (erf))
+HALF_WIDTH_ALIAS_F1 (erf)
new file mode 100644
@@ -0,0 +1,544 @@
+/* Table for Advanced SIMD erff approximation
+
+ 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 "vecmath_config.h"
+
+/* Lookup table used in erff.
+ For each possible rounded input r (multiples of 1/128), between
+ r = 0.0 and r = 4.0 (513 values):
+ - the first entry __erff_data.tab.erf contains the values of erf(r),
+ - the second entry __erff_data.tab.scale contains the values of
+ 2/sqrt(pi)*exp(-r^2). Note that indices 0 and 1 are never hit by the
+ algorithm, since lookup is performed only for x >= 1/64-1/512. */
+const struct erff_data __erff_data = {
+ .tab = { { 0x0.000000p+0, 0x1.20dd76p+0 },
+ { 0x1.20dbf4p-7, 0x1.20d8f2p+0 },
+ { 0x1.20d770p-6, 0x1.20cb68p+0 },
+ { 0x1.b137e0p-6, 0x1.20b4d8p+0 },
+ { 0x1.20c564p-5, 0x1.209546p+0 },
+ { 0x1.68e5d4p-5, 0x1.206cb4p+0 },
+ { 0x1.b0fafep-5, 0x1.203b26p+0 },
+ { 0x1.f902a8p-5, 0x1.2000a0p+0 },
+ { 0x1.207d48p-4, 0x1.1fbd28p+0 },
+ { 0x1.44703ep-4, 0x1.1f70c4p+0 },
+ { 0x1.68591ap-4, 0x1.1f1b7ap+0 },
+ { 0x1.8c36bep-4, 0x1.1ebd56p+0 },
+ { 0x1.b00812p-4, 0x1.1e565cp+0 },
+ { 0x1.d3cbf8p-4, 0x1.1de698p+0 },
+ { 0x1.f7815ap-4, 0x1.1d6e14p+0 },
+ { 0x1.0d9390p-3, 0x1.1cecdcp+0 },
+ { 0x1.1f5e1ap-3, 0x1.1c62fap+0 },
+ { 0x1.311fc2p-3, 0x1.1bd07cp+0 },
+ { 0x1.42d7fcp-3, 0x1.1b3572p+0 },
+ { 0x1.548642p-3, 0x1.1a91e6p+0 },
+ { 0x1.662a0cp-3, 0x1.19e5eap+0 },
+ { 0x1.77c2d2p-3, 0x1.19318cp+0 },
+ { 0x1.895010p-3, 0x1.1874dep+0 },
+ { 0x1.9ad142p-3, 0x1.17aff0p+0 },
+ { 0x1.ac45e4p-3, 0x1.16e2d8p+0 },
+ { 0x1.bdad72p-3, 0x1.160da4p+0 },
+ { 0x1.cf076ep-3, 0x1.153068p+0 },
+ { 0x1.e05354p-3, 0x1.144b3cp+0 },
+ { 0x1.f190aap-3, 0x1.135e30p+0 },
+ { 0x1.015f78p-2, 0x1.12695ep+0 },
+ { 0x1.09eed6p-2, 0x1.116cd8p+0 },
+ { 0x1.127632p-2, 0x1.1068bap+0 },
+ { 0x1.1af54ep-2, 0x1.0f5d16p+0 },
+ { 0x1.236bf0p-2, 0x1.0e4a08p+0 },
+ { 0x1.2bd9dcp-2, 0x1.0d2fa6p+0 },
+ { 0x1.343ed6p-2, 0x1.0c0e0ap+0 },
+ { 0x1.3c9aa8p-2, 0x1.0ae550p+0 },
+ { 0x1.44ed18p-2, 0x1.09b590p+0 },
+ { 0x1.4d35f0p-2, 0x1.087ee4p+0 },
+ { 0x1.5574f4p-2, 0x1.07416cp+0 },
+ { 0x1.5da9f4p-2, 0x1.05fd3ep+0 },
+ { 0x1.65d4b8p-2, 0x1.04b27cp+0 },
+ { 0x1.6df50ap-2, 0x1.036140p+0 },
+ { 0x1.760abap-2, 0x1.0209a6p+0 },
+ { 0x1.7e1594p-2, 0x1.00abd0p+0 },
+ { 0x1.861566p-2, 0x1.fe8fb0p-1 },
+ { 0x1.8e0a02p-2, 0x1.fbbbbep-1 },
+ { 0x1.95f336p-2, 0x1.f8dc0ap-1 },
+ { 0x1.9dd0d2p-2, 0x1.f5f0cep-1 },
+ { 0x1.a5a2acp-2, 0x1.f2fa4cp-1 },
+ { 0x1.ad6896p-2, 0x1.eff8c4p-1 },
+ { 0x1.b52264p-2, 0x1.ecec78p-1 },
+ { 0x1.bccfecp-2, 0x1.e9d5a8p-1 },
+ { 0x1.c47104p-2, 0x1.e6b498p-1 },
+ { 0x1.cc0584p-2, 0x1.e38988p-1 },
+ { 0x1.d38d44p-2, 0x1.e054bep-1 },
+ { 0x1.db081cp-2, 0x1.dd167cp-1 },
+ { 0x1.e275eap-2, 0x1.d9cf06p-1 },
+ { 0x1.e9d68ap-2, 0x1.d67ea2p-1 },
+ { 0x1.f129d4p-2, 0x1.d32592p-1 },
+ { 0x1.f86faap-2, 0x1.cfc41ep-1 },
+ { 0x1.ffa7eap-2, 0x1.cc5a8ap-1 },
+ { 0x1.03693ap-1, 0x1.c8e91cp-1 },
+ { 0x1.06f794p-1, 0x1.c5701ap-1 },
+ { 0x1.0a7ef6p-1, 0x1.c1efcap-1 },
+ { 0x1.0dff50p-1, 0x1.be6872p-1 },
+ { 0x1.117894p-1, 0x1.bada5ap-1 },
+ { 0x1.14eab4p-1, 0x1.b745c6p-1 },
+ { 0x1.1855a6p-1, 0x1.b3aafcp-1 },
+ { 0x1.1bb95cp-1, 0x1.b00a46p-1 },
+ { 0x1.1f15ccp-1, 0x1.ac63e8p-1 },
+ { 0x1.226ae8p-1, 0x1.a8b828p-1 },
+ { 0x1.25b8a8p-1, 0x1.a5074ep-1 },
+ { 0x1.28ff02p-1, 0x1.a1519ep-1 },
+ { 0x1.2c3decp-1, 0x1.9d9762p-1 },
+ { 0x1.2f755cp-1, 0x1.99d8dap-1 },
+ { 0x1.32a54cp-1, 0x1.961650p-1 },
+ { 0x1.35cdb4p-1, 0x1.925008p-1 },
+ { 0x1.38ee8ap-1, 0x1.8e8646p-1 },
+ { 0x1.3c07cap-1, 0x1.8ab950p-1 },
+ { 0x1.3f196ep-1, 0x1.86e96ap-1 },
+ { 0x1.42236ep-1, 0x1.8316d6p-1 },
+ { 0x1.4525c8p-1, 0x1.7f41dcp-1 },
+ { 0x1.482074p-1, 0x1.7b6abcp-1 },
+ { 0x1.4b1372p-1, 0x1.7791b8p-1 },
+ { 0x1.4dfebap-1, 0x1.73b714p-1 },
+ { 0x1.50e24cp-1, 0x1.6fdb12p-1 },
+ { 0x1.53be26p-1, 0x1.6bfdf0p-1 },
+ { 0x1.569244p-1, 0x1.681ff2p-1 },
+ { 0x1.595ea6p-1, 0x1.644156p-1 },
+ { 0x1.5c2348p-1, 0x1.60625cp-1 },
+ { 0x1.5ee02ep-1, 0x1.5c8342p-1 },
+ { 0x1.619556p-1, 0x1.58a446p-1 },
+ { 0x1.6442c0p-1, 0x1.54c5a6p-1 },
+ { 0x1.66e86ep-1, 0x1.50e79ep-1 },
+ { 0x1.69865ep-1, 0x1.4d0a68p-1 },
+ { 0x1.6c1c98p-1, 0x1.492e42p-1 },
+ { 0x1.6eab18p-1, 0x1.455366p-1 },
+ { 0x1.7131e6p-1, 0x1.417a0cp-1 },
+ { 0x1.73b102p-1, 0x1.3da26ep-1 },
+ { 0x1.762870p-1, 0x1.39ccc2p-1 },
+ { 0x1.789836p-1, 0x1.35f940p-1 },
+ { 0x1.7b0058p-1, 0x1.32281ep-1 },
+ { 0x1.7d60d8p-1, 0x1.2e5992p-1 },
+ { 0x1.7fb9c0p-1, 0x1.2a8dcep-1 },
+ { 0x1.820b12p-1, 0x1.26c508p-1 },
+ { 0x1.8454d6p-1, 0x1.22ff72p-1 },
+ { 0x1.869712p-1, 0x1.1f3d3cp-1 },
+ { 0x1.88d1cep-1, 0x1.1b7e98p-1 },
+ { 0x1.8b050ep-1, 0x1.17c3b6p-1 },
+ { 0x1.8d30dep-1, 0x1.140cc4p-1 },
+ { 0x1.8f5544p-1, 0x1.1059eep-1 },
+ { 0x1.91724ap-1, 0x1.0cab62p-1 },
+ { 0x1.9387f6p-1, 0x1.09014cp-1 },
+ { 0x1.959652p-1, 0x1.055bd6p-1 },
+ { 0x1.979d68p-1, 0x1.01bb2cp-1 },
+ { 0x1.999d42p-1, 0x1.fc3ee6p-2 },
+ { 0x1.9b95e8p-1, 0x1.f511aap-2 },
+ { 0x1.9d8768p-1, 0x1.edeeeep-2 },
+ { 0x1.9f71cap-1, 0x1.e6d700p-2 },
+ { 0x1.a1551ap-1, 0x1.dfca26p-2 },
+ { 0x1.a33162p-1, 0x1.d8c8aap-2 },
+ { 0x1.a506b0p-1, 0x1.d1d2d0p-2 },
+ { 0x1.a6d50cp-1, 0x1.cae8dap-2 },
+ { 0x1.a89c86p-1, 0x1.c40b08p-2 },
+ { 0x1.aa5d26p-1, 0x1.bd3998p-2 },
+ { 0x1.ac16fcp-1, 0x1.b674c8p-2 },
+ { 0x1.adca14p-1, 0x1.afbcd4p-2 },
+ { 0x1.af767ap-1, 0x1.a911f0p-2 },
+ { 0x1.b11c3cp-1, 0x1.a27456p-2 },
+ { 0x1.b2bb68p-1, 0x1.9be438p-2 },
+ { 0x1.b4540ap-1, 0x1.9561c8p-2 },
+ { 0x1.b5e630p-1, 0x1.8eed36p-2 },
+ { 0x1.b771e8p-1, 0x1.8886b2p-2 },
+ { 0x1.b8f742p-1, 0x1.822e66p-2 },
+ { 0x1.ba764ap-1, 0x1.7be47ap-2 },
+ { 0x1.bbef10p-1, 0x1.75a91ap-2 },
+ { 0x1.bd61a2p-1, 0x1.6f7c6ap-2 },
+ { 0x1.bece0ep-1, 0x1.695e8cp-2 },
+ { 0x1.c03464p-1, 0x1.634fa6p-2 },
+ { 0x1.c194b2p-1, 0x1.5d4fd4p-2 },
+ { 0x1.c2ef08p-1, 0x1.575f34p-2 },
+ { 0x1.c44376p-1, 0x1.517de6p-2 },
+ { 0x1.c5920ap-1, 0x1.4bac00p-2 },
+ { 0x1.c6dad2p-1, 0x1.45e99cp-2 },
+ { 0x1.c81de2p-1, 0x1.4036d0p-2 },
+ { 0x1.c95b46p-1, 0x1.3a93b2p-2 },
+ { 0x1.ca930ep-1, 0x1.350052p-2 },
+ { 0x1.cbc54cp-1, 0x1.2f7cc4p-2 },
+ { 0x1.ccf20cp-1, 0x1.2a0916p-2 },
+ { 0x1.ce1962p-1, 0x1.24a554p-2 },
+ { 0x1.cf3b5cp-1, 0x1.1f518ap-2 },
+ { 0x1.d0580cp-1, 0x1.1a0dc6p-2 },
+ { 0x1.d16f7ep-1, 0x1.14da0ap-2 },
+ { 0x1.d281c4p-1, 0x1.0fb662p-2 },
+ { 0x1.d38ef0p-1, 0x1.0aa2d0p-2 },
+ { 0x1.d49710p-1, 0x1.059f5ap-2 },
+ { 0x1.d59a34p-1, 0x1.00ac00p-2 },
+ { 0x1.d6986cp-1, 0x1.f79184p-3 },
+ { 0x1.d791cap-1, 0x1.edeb40p-3 },
+ { 0x1.d8865ep-1, 0x1.e46530p-3 },
+ { 0x1.d97636p-1, 0x1.daff4ap-3 },
+ { 0x1.da6162p-1, 0x1.d1b982p-3 },
+ { 0x1.db47f4p-1, 0x1.c893cep-3 },
+ { 0x1.dc29fcp-1, 0x1.bf8e1cp-3 },
+ { 0x1.dd0788p-1, 0x1.b6a856p-3 },
+ { 0x1.dde0aap-1, 0x1.ade26cp-3 },
+ { 0x1.deb570p-1, 0x1.a53c42p-3 },
+ { 0x1.df85eap-1, 0x1.9cb5bep-3 },
+ { 0x1.e0522ap-1, 0x1.944ec2p-3 },
+ { 0x1.e11a3ep-1, 0x1.8c0732p-3 },
+ { 0x1.e1de36p-1, 0x1.83deeap-3 },
+ { 0x1.e29e22p-1, 0x1.7bd5c8p-3 },
+ { 0x1.e35a12p-1, 0x1.73eba4p-3 },
+ { 0x1.e41214p-1, 0x1.6c2056p-3 },
+ { 0x1.e4c638p-1, 0x1.6473b6p-3 },
+ { 0x1.e5768cp-1, 0x1.5ce596p-3 },
+ { 0x1.e62322p-1, 0x1.5575c8p-3 },
+ { 0x1.e6cc08p-1, 0x1.4e241ep-3 },
+ { 0x1.e7714ap-1, 0x1.46f066p-3 },
+ { 0x1.e812fcp-1, 0x1.3fda6cp-3 },
+ { 0x1.e8b12ap-1, 0x1.38e1fap-3 },
+ { 0x1.e94be4p-1, 0x1.3206dcp-3 },
+ { 0x1.e9e336p-1, 0x1.2b48dap-3 },
+ { 0x1.ea7730p-1, 0x1.24a7b8p-3 },
+ { 0x1.eb07e2p-1, 0x1.1e233ep-3 },
+ { 0x1.eb9558p-1, 0x1.17bb2cp-3 },
+ { 0x1.ec1fa2p-1, 0x1.116f48p-3 },
+ { 0x1.eca6ccp-1, 0x1.0b3f52p-3 },
+ { 0x1.ed2ae6p-1, 0x1.052b0cp-3 },
+ { 0x1.edabfcp-1, 0x1.fe6460p-4 },
+ { 0x1.ee2a1ep-1, 0x1.f2a902p-4 },
+ { 0x1.eea556p-1, 0x1.e72372p-4 },
+ { 0x1.ef1db4p-1, 0x1.dbd32ap-4 },
+ { 0x1.ef9344p-1, 0x1.d0b7a0p-4 },
+ { 0x1.f00614p-1, 0x1.c5d04ap-4 },
+ { 0x1.f07630p-1, 0x1.bb1c98p-4 },
+ { 0x1.f0e3a6p-1, 0x1.b09bfcp-4 },
+ { 0x1.f14e82p-1, 0x1.a64de6p-4 },
+ { 0x1.f1b6d0p-1, 0x1.9c31c6p-4 },
+ { 0x1.f21ca0p-1, 0x1.92470ap-4 },
+ { 0x1.f27ff8p-1, 0x1.888d1ep-4 },
+ { 0x1.f2e0eap-1, 0x1.7f036cp-4 },
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+ { 0x1.000000p+0, 0x1.5dcd66p-23 },
+ { 0x1.000000p+0, 0x1.48bfd4p-23 },
+ { 0x1.000000p+0, 0x1.34ecf8p-23 },
+ { 0x1.000000p+0, 0x1.224310p-23 },
+ { 0x1.000000p+0, 0x1.10b148p-23 },
+ },
+};
new file mode 100644
@@ -0,0 +1,93 @@
+/* Single-precision vector (SVE) erf 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 "sv_math.h"
+
+static const struct data
+{
+ float min, max, scale, shift, third;
+} data = {
+ .min = 0x1.cp-7f, /* 1/64 - 1/512. */
+ .max = 3.9375, /* 4 - 8/128. */
+ .scale = 0x1.20dd76p+0f, /* 2/sqrt(pi). */
+ .shift = 0x1p16f,
+ .third = 0x1.555556p-2f, /* 1/3. */
+};
+
+#define SignMask (0x80000000)
+
+/* Single-precision implementation of vector erf(x).
+ Approximation based on series expansion near x rounded to
+ nearest multiple of 1/128.
+ Let d = x - r, and scale = 2 / sqrt(pi) * exp(-r^2). For x near r,
+
+ erf(x) ~ erf(r) + scale * d * [1 - r * d - 1/3 * d^2]
+
+ Values of erf(r) and scale are read from lookup tables.
+ For |x| < 0x1.cp-7, the algorithm sets r = 0, erf(r) = 0, and scale = 2 /
+ sqrt(pi), so it simply boils down to a Taylor series expansion near 0. For
+ |x| > 3.9375, erf(|x|) rounds to 1.0f.
+
+ Maximum error on each interval:
+ - [0, 0x1.cp-7]: 1.93 ULP
+ _ZGVsMxv_erff(0x1.c373e6p-9) got 0x1.fd686cp-9 want 0x1.fd6868p-9
+ - [0x1.cp-7, 4.0]: 1.26 ULP
+ _ZGVsMxv_erff(0x1.1d002ep+0) got 0x1.c4eb9ap-1 want 0x1.c4eb98p-1. */
+svfloat32_t SV_NAME_F1 (erf) (svfloat32_t x, const svbool_t pg)
+{
+ const struct data *dat = ptr_barrier (&data);
+
+ /* |x| > 1/64 - 1/512. */
+ svbool_t a_gt_min = svacgt (pg, x, dat->min);
+
+ /* |x| >= 4.0 - 8/128. */
+ svbool_t a_ge_max = svacge (pg, x, dat->max);
+ svfloat32_t a = svabs_x (pg, x);
+
+ svfloat32_t shift = sv_f32 (dat->shift);
+ svfloat32_t z = svadd_x (pg, a, shift);
+ svuint32_t i
+ = svsub_x (pg, svreinterpret_u32 (z), svreinterpret_u32 (shift));
+
+ /* Saturate lookup index. */
+ i = svsel (a_ge_max, sv_u32 (512), i);
+
+ /* r and erf(r) set to 0 for |x| below min. */
+ svfloat32_t r = svsub_z (a_gt_min, z, shift);
+ svfloat32_t erfr = svld1_gather_index (a_gt_min, __sv_erff_data.erf, i);
+
+ /* scale set to 2/sqrt(pi) for |x| below min. */
+ svfloat32_t scale = svld1_gather_index (a_gt_min, __sv_erff_data.scale, i);
+ scale = svsel (a_gt_min, scale, sv_f32 (dat->scale));
+
+ /* erf(x) ~ erf(r) + scale * d * (1 - r * d + 1/3 * d^2). */
+ svfloat32_t d = svsub_x (pg, a, r);
+ svfloat32_t d2 = svmul_x (pg, d, d);
+ svfloat32_t y = svmla_x (pg, r, d, dat->third);
+ y = svmla_x (pg, erfr, scale, svmls_x (pg, d, d2, y));
+
+ /* Solves the |x| = inf case. */
+ y = svsel (a_ge_max, sv_f32 (1.0f), y);
+
+ /* Copy sign. */
+ svuint32_t ix = svreinterpret_u32 (x);
+ svuint32_t iy = svreinterpret_u32 (y);
+ svuint32_t sign = svand_x (pg, ix, SignMask);
+ return svreinterpret_f32 (svorr_x (pg, sign, iy));
+}
new file mode 100644
@@ -0,0 +1,1570 @@
+/* Table for SVE erf approximation
+
+ 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 "vecmath_config.h"
+
+/* Lookup table used in vector erf.
+ For each possible rounded input r (multiples of 1/128), between
+ r = 0.0 and r = 6.0 (769 values):
+ - the first entry __erf_data.tab.erf contains the values of erf(r),
+ - the second entry __erf_data.tab.scale contains the values of
+ 2/sqrt(pi)*exp(-r^2). Note that indices 0 and 1 are never hit by the
+ algorithm, since lookup is performed only for x >= 1/64-1/512. */
+const struct sv_erf_data __sv_erf_data = {
+ .erf = { 0x0.0000000000000p+0,
+ 0x1.20dbf3deb1340p-7,
+ 0x1.20d77083f17a0p-6,
+ 0x1.b137e0cf584dcp-6,
+ 0x1.20c5645dd2538p-5,
+ 0x1.68e5d3bbc9526p-5,
+ 0x1.b0fafef135745p-5,
+ 0x1.f902a77bd3821p-5,
+ 0x1.207d480e90658p-4,
+ 0x1.44703e87e8593p-4,
+ 0x1.68591a1e83b5dp-4,
+ 0x1.8c36beb8a8d23p-4,
+ 0x1.b0081148a873ap-4,
+ 0x1.d3cbf7e70a4b3p-4,
+ 0x1.f78159ec8bb50p-4,
+ 0x1.0d939005f65e5p-3,
+ 0x1.1f5e1a35c3b89p-3,
+ 0x1.311fc15f56d14p-3,
+ 0x1.42d7fc2f64959p-3,
+ 0x1.548642321d7c6p-3,
+ 0x1.662a0bdf7a89fp-3,
+ 0x1.77c2d2a765f9ep-3,
+ 0x1.895010fdbdbfdp-3,
+ 0x1.9ad142662e14dp-3,
+ 0x1.ac45e37fe2526p-3,
+ 0x1.bdad72110a648p-3,
+ 0x1.cf076d1233237p-3,
+ 0x1.e05354b96ff36p-3,
+ 0x1.f190aa85540e2p-3,
+ 0x1.015f78a3dcf3dp-2,
+ 0x1.09eed6982b948p-2,
+ 0x1.127631eb8de32p-2,
+ 0x1.1af54e232d609p-2,
+ 0x1.236bef825d9a2p-2,
+ 0x1.2bd9db0f7827fp-2,
+ 0x1.343ed6989b7d9p-2,
+ 0x1.3c9aa8b84bedap-2,
+ 0x1.44ed18d9f6462p-2,
+ 0x1.4d35ef3e5372ep-2,
+ 0x1.5574f4ffac98ep-2,
+ 0x1.5da9f415ff23fp-2,
+ 0x1.65d4b75b00471p-2,
+ 0x1.6df50a8dff772p-2,
+ 0x1.760aba57a76bfp-2,
+ 0x1.7e15944d9d3e4p-2,
+ 0x1.861566f5fd3c0p-2,
+ 0x1.8e0a01cab516bp-2,
+ 0x1.95f3353cbb146p-2,
+ 0x1.9dd0d2b721f39p-2,
+ 0x1.a5a2aca209394p-2,
+ 0x1.ad68966569a87p-2,
+ 0x1.b522646bbda68p-2,
+ 0x1.bccfec24855b8p-2,
+ 0x1.c4710406a65fcp-2,
+ 0x1.cc058392a6d2dp-2,
+ 0x1.d38d4354c3bd0p-2,
+ 0x1.db081ce6e2a48p-2,
+ 0x1.e275eaf25e458p-2,
+ 0x1.e9d68931ae650p-2,
+ 0x1.f129d471eabb1p-2,
+ 0x1.f86faa9428f9dp-2,
+ 0x1.ffa7ea8eb5fd0p-2,
+ 0x1.03693a371519cp-1,
+ 0x1.06f794ab2cae7p-1,
+ 0x1.0a7ef5c18edd2p-1,
+ 0x1.0dff4f247f6c6p-1,
+ 0x1.1178930ada115p-1,
+ 0x1.14eab43841b55p-1,
+ 0x1.1855a5fd3dd50p-1,
+ 0x1.1bb95c3746199p-1,
+ 0x1.1f15cb50bc4dep-1,
+ 0x1.226ae840d4d70p-1,
+ 0x1.25b8a88b6dd7fp-1,
+ 0x1.28ff0240d52cdp-1,
+ 0x1.2c3debfd7d6c1p-1,
+ 0x1.2f755ce9a21f4p-1,
+ 0x1.32a54cb8db67bp-1,
+ 0x1.35cdb3a9a144dp-1,
+ 0x1.38ee8a84beb71p-1,
+ 0x1.3c07ca9cb4f9ep-1,
+ 0x1.3f196dcd0f135p-1,
+ 0x1.42236e79a5fa6p-1,
+ 0x1.4525c78dd5966p-1,
+ 0x1.4820747ba2dc2p-1,
+ 0x1.4b13713ad3513p-1,
+ 0x1.4dfeba47f63ccp-1,
+ 0x1.50e24ca35fd2cp-1,
+ 0x1.53be25d016a4fp-1,
+ 0x1.569243d2b3a9bp-1,
+ 0x1.595ea53035283p-1,
+ 0x1.5c2348ecc4dc3p-1,
+ 0x1.5ee02e8a71a53p-1,
+ 0x1.61955607dd15dp-1,
+ 0x1.6442bfdedd397p-1,
+ 0x1.66e86d0312e82p-1,
+ 0x1.69865ee075011p-1,
+ 0x1.6c1c9759d0e5fp-1,
+ 0x1.6eab18c74091bp-1,
+ 0x1.7131e5f496a5ap-1,
+ 0x1.73b1021fc0cb8p-1,
+ 0x1.762870f720c6fp-1,
+ 0x1.78983697dc96fp-1,
+ 0x1.7b00578c26037p-1,
+ 0x1.7d60d8c979f7bp-1,
+ 0x1.7fb9bfaed8078p-1,
+ 0x1.820b1202f27fbp-1,
+ 0x1.8454d5f25760dp-1,
+ 0x1.8697120d92a4ap-1,
+ 0x1.88d1cd474a2e0p-1,
+ 0x1.8b050ef253c37p-1,
+ 0x1.8d30debfc572ep-1,
+ 0x1.8f5544bd00c04p-1,
+ 0x1.91724951b8fc6p-1,
+ 0x1.9387f53df5238p-1,
+ 0x1.959651980da31p-1,
+ 0x1.979d67caa6631p-1,
+ 0x1.999d4192a5715p-1,
+ 0x1.9b95e8fd26abap-1,
+ 0x1.9d8768656cc42p-1,
+ 0x1.9f71ca72cffb6p-1,
+ 0x1.a1551a16aaeafp-1,
+ 0x1.a331628a45b92p-1,
+ 0x1.a506af4cc00f4p-1,
+ 0x1.a6d50c20fa293p-1,
+ 0x1.a89c850b7d54dp-1,
+ 0x1.aa5d265064366p-1,
+ 0x1.ac16fc7143263p-1,
+ 0x1.adca142b10f98p-1,
+ 0x1.af767a741088bp-1,
+ 0x1.b11c3c79bb424p-1,
+ 0x1.b2bb679ead19cp-1,
+ 0x1.b4540978921eep-1,
+ 0x1.b5e62fce16095p-1,
+ 0x1.b771e894d602ep-1,
+ 0x1.b8f741ef54f83p-1,
+ 0x1.ba764a2af2b78p-1,
+ 0x1.bbef0fbde6221p-1,
+ 0x1.bd61a1453ab44p-1,
+ 0x1.bece0d82d1a5cp-1,
+ 0x1.c034635b66e23p-1,
+ 0x1.c194b1d49a184p-1,
+ 0x1.c2ef0812fc1bdp-1,
+ 0x1.c443755820d64p-1,
+ 0x1.c5920900b5fd1p-1,
+ 0x1.c6dad2829ec62p-1,
+ 0x1.c81de16b14cefp-1,
+ 0x1.c95b455cce69dp-1,
+ 0x1.ca930e0e2a825p-1,
+ 0x1.cbc54b476248dp-1,
+ 0x1.ccf20ce0c0d27p-1,
+ 0x1.ce1962c0e0d8bp-1,
+ 0x1.cf3b5cdaf0c39p-1,
+ 0x1.d0580b2cfd249p-1,
+ 0x1.d16f7dbe41ca0p-1,
+ 0x1.d281c49d818d0p-1,
+ 0x1.d38eefdf64fddp-1,
+ 0x1.d4970f9ce00d9p-1,
+ 0x1.d59a33f19ed42p-1,
+ 0x1.d6986cfa798e7p-1,
+ 0x1.d791cad3eff01p-1,
+ 0x1.d8865d98abe01p-1,
+ 0x1.d97635600bb89p-1,
+ 0x1.da61623cb41e0p-1,
+ 0x1.db47f43b2980dp-1,
+ 0x1.dc29fb60715afp-1,
+ 0x1.dd0787a8bb39dp-1,
+ 0x1.dde0a90611a0dp-1,
+ 0x1.deb56f5f12d28p-1,
+ 0x1.df85ea8db188ep-1,
+ 0x1.e0522a5dfda73p-1,
+ 0x1.e11a3e8cf4eb8p-1,
+ 0x1.e1de36c75ba58p-1,
+ 0x1.e29e22a89d766p-1,
+ 0x1.e35a11b9b61cep-1,
+ 0x1.e4121370224ccp-1,
+ 0x1.e4c6372cd8927p-1,
+ 0x1.e5768c3b4a3fcp-1,
+ 0x1.e62321d06c5e0p-1,
+ 0x1.e6cc0709c8a0dp-1,
+ 0x1.e7714aec96534p-1,
+ 0x1.e812fc64db369p-1,
+ 0x1.e8b12a44944a8p-1,
+ 0x1.e94be342e6743p-1,
+ 0x1.e9e335fb56f87p-1,
+ 0x1.ea7730ed0bbb9p-1,
+ 0x1.eb07e27a133aap-1,
+ 0x1.eb9558e6b42cep-1,
+ 0x1.ec1fa258c4beap-1,
+ 0x1.eca6ccd709544p-1,
+ 0x1.ed2ae6489ac1ep-1,
+ 0x1.edabfc7453e63p-1,
+ 0x1.ee2a1d004692cp-1,
+ 0x1.eea5557137ae0p-1,
+ 0x1.ef1db32a2277cp-1,
+ 0x1.ef93436bc2daap-1,
+ 0x1.f006135426b26p-1,
+ 0x1.f0762fde45ee6p-1,
+ 0x1.f0e3a5e1a1788p-1,
+ 0x1.f14e8211e8c55p-1,
+ 0x1.f1b6d0fea5f4dp-1,
+ 0x1.f21c9f12f0677p-1,
+ 0x1.f27ff89525acfp-1,
+ 0x1.f2e0e9a6a8b09p-1,
+ 0x1.f33f7e43a706bp-1,
+ 0x1.f39bc242e43e6p-1,
+ 0x1.f3f5c1558b19ep-1,
+ 0x1.f44d870704911p-1,
+ 0x1.f4a31ebcd47dfp-1,
+ 0x1.f4f693b67bd77p-1,
+ 0x1.f547f10d60597p-1,
+ 0x1.f59741b4b97cfp-1,
+ 0x1.f5e4907982a07p-1,
+ 0x1.f62fe80272419p-1,
+ 0x1.f67952cff6282p-1,
+ 0x1.f6c0db3c34641p-1,
+ 0x1.f7068b7b10fd9p-1,
+ 0x1.f74a6d9a38383p-1,
+ 0x1.f78c8b812d498p-1,
+ 0x1.f7cceef15d631p-1,
+ 0x1.f80ba18636f07p-1,
+ 0x1.f848acb544e95p-1,
+ 0x1.f88419ce4e184p-1,
+ 0x1.f8bdf1fb78370p-1,
+ 0x1.f8f63e416ebffp-1,
+ 0x1.f92d077f8d56dp-1,
+ 0x1.f96256700da8ep-1,
+ 0x1.f99633a838a57p-1,
+ 0x1.f9c8a7989af0dp-1,
+ 0x1.f9f9ba8d3c733p-1,
+ 0x1.fa2974addae45p-1,
+ 0x1.fa57ddfe27376p-1,
+ 0x1.fa84fe5e05c8dp-1,
+ 0x1.fab0dd89d1309p-1,
+ 0x1.fadb831a9f9c3p-1,
+ 0x1.fb04f6868a944p-1,
+ 0x1.fb2d3f20f9101p-1,
+ 0x1.fb54641aebbc9p-1,
+ 0x1.fb7a6c834b5a2p-1,
+ 0x1.fb9f5f4739170p-1,
+ 0x1.fbc3433260ca5p-1,
+ 0x1.fbe61eef4cf6ap-1,
+ 0x1.fc07f907bc794p-1,
+ 0x1.fc28d7e4f9cd0p-1,
+ 0x1.fc48c1d033c7ap-1,
+ 0x1.fc67bcf2d7b8fp-1,
+ 0x1.fc85cf56ecd38p-1,
+ 0x1.fca2fee770c79p-1,
+ 0x1.fcbf5170b578bp-1,
+ 0x1.fcdacca0bfb73p-1,
+ 0x1.fcf57607a6e7cp-1,
+ 0x1.fd0f5317f582fp-1,
+ 0x1.fd2869270a56fp-1,
+ 0x1.fd40bd6d7a785p-1,
+ 0x1.fd58550773cb5p-1,
+ 0x1.fd6f34f52013ap-1,
+ 0x1.fd85621b0876dp-1,
+ 0x1.fd9ae142795e3p-1,
+ 0x1.fdafb719e6a69p-1,
+ 0x1.fdc3e835500b3p-1,
+ 0x1.fdd7790ea5bc0p-1,
+ 0x1.fdea6e062d0c9p-1,
+ 0x1.fdfccb62e52d3p-1,
+ 0x1.fe0e9552ebdd6p-1,
+ 0x1.fe1fcfebe2083p-1,
+ 0x1.fe307f2b503d0p-1,
+ 0x1.fe40a6f70af4bp-1,
+ 0x1.fe504b1d9696cp-1,
+ 0x1.fe5f6f568b301p-1,
+ 0x1.fe6e1742f7cf6p-1,
+ 0x1.fe7c466dc57a1p-1,
+ 0x1.fe8a004c19ae6p-1,
+ 0x1.fe97483db8670p-1,
+ 0x1.fea4218d6594ap-1,
+ 0x1.feb08f7146046p-1,
+ 0x1.febc950b3fa75p-1,
+ 0x1.fec835695932ep-1,
+ 0x1.fed37386190fbp-1,
+ 0x1.fede5248e38f4p-1,
+ 0x1.fee8d486585eep-1,
+ 0x1.fef2fd00af31ap-1,
+ 0x1.fefcce6813974p-1,
+ 0x1.ff064b5afffbep-1,
+ 0x1.ff0f766697c76p-1,
+ 0x1.ff18520700971p-1,
+ 0x1.ff20e0a7ba8c2p-1,
+ 0x1.ff2924a3f7a83p-1,
+ 0x1.ff312046f2339p-1,
+ 0x1.ff38d5cc4227fp-1,
+ 0x1.ff404760319b4p-1,
+ 0x1.ff47772010262p-1,
+ 0x1.ff4e671a85425p-1,
+ 0x1.ff55194fe19dfp-1,
+ 0x1.ff5b8fb26f5f6p-1,
+ 0x1.ff61cc26c1578p-1,
+ 0x1.ff67d08401202p-1,
+ 0x1.ff6d9e943c231p-1,
+ 0x1.ff733814af88cp-1,
+ 0x1.ff789eb6130c9p-1,
+ 0x1.ff7dd41ce2b4dp-1,
+ 0x1.ff82d9e1a76d8p-1,
+ 0x1.ff87b1913e853p-1,
+ 0x1.ff8c5cad200a5p-1,
+ 0x1.ff90dcaba4096p-1,
+ 0x1.ff9532f846ab0p-1,
+ 0x1.ff9960f3eb327p-1,
+ 0x1.ff9d67f51ddbap-1,
+ 0x1.ffa14948549a7p-1,
+ 0x1.ffa506302ebaep-1,
+ 0x1.ffa89fe5b3625p-1,
+ 0x1.ffac17988ef4bp-1,
+ 0x1.ffaf6e6f4f5c0p-1,
+ 0x1.ffb2a5879f35ep-1,
+ 0x1.ffb5bdf67fe6fp-1,
+ 0x1.ffb8b8c88295fp-1,
+ 0x1.ffbb970200110p-1,
+ 0x1.ffbe599f4f9d9p-1,
+ 0x1.ffc10194fcb64p-1,
+ 0x1.ffc38fcffbb7cp-1,
+ 0x1.ffc60535dd7f5p-1,
+ 0x1.ffc862a501fd7p-1,
+ 0x1.ffcaa8f4c9beap-1,
+ 0x1.ffccd8f5c66d1p-1,
+ 0x1.ffcef371ea4d7p-1,
+ 0x1.ffd0f92cb6ba7p-1,
+ 0x1.ffd2eae369a07p-1,
+ 0x1.ffd4c94d29fdbp-1,
+ 0x1.ffd6951b33686p-1,
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+ 0x1.15e6827001f18p-21,
+ 0x1.05c803e4831c1p-21,
+ 0x1.ed22548cffd35p-22,
+ 0x1.d06ad6ecdf971p-22,
+ 0x1.b551c847fbc96p-22,
+ 0x1.9bc09f112b494p-22,
+ 0x1.83a1ff0aa239dp-22,
+ 0x1.6ce1aa3fd7bddp-22,
+ 0x1.576c72b514859p-22,
+ 0x1.43302cc4a0da8p-22,
+ 0x1.301ba221dc9bbp-22,
+ 0x1.1e1e857adc568p-22,
+ 0x1.0d2966b1746f7p-22,
+ 0x1.fa5b4f49cc6b2p-23,
+ 0x1.dc3ae30b55c16p-23,
+ 0x1.bfd7555a3bd68p-23,
+ 0x1.a517d9e61628ap-23,
+ 0x1.8be4f8f6c951fp-23,
+ 0x1.74287ded49339p-23,
+ 0x1.5dcd669f2cd34p-23,
+ 0x1.48bfd38302870p-23,
+ 0x1.34ecf8a3c124ap-23,
+ 0x1.22430f521cbcfp-23,
+ 0x1.10b1488aeb235p-23,
+ 0x1.0027c00a263a6p-23,
+ 0x1.e12ee004efc37p-24,
+ 0x1.c3e44ae32b16bp-24,
+ 0x1.a854ea14102a8p-24,
+ 0x1.8e6761569f45dp-24,
+ 0x1.7603bac345f65p-24,
+ 0x1.5f1353cdad001p-24,
+ 0x1.4980cb3c80949p-24,
+ 0x1.3537f00b6ad4dp-24,
+ 0x1.2225b12bffc68p-24,
+ 0x1.10380e1adb7e9p-24,
+ 0x1.febc107d5efaap-25,
+ 0x1.df0f2a0ee6946p-25,
+ 0x1.c14b2188bcee4p-25,
+ 0x1.a553644f7f07dp-25,
+ 0x1.8b0cfce0579dfp-25,
+ 0x1.725e7c5dd20f7p-25,
+ 0x1.5b2fe547a1340p-25,
+ 0x1.456a974e92e93p-25,
+ 0x1.30f93c3699078p-25,
+ 0x1.1dc7b5b978cf8p-25,
+ 0x1.0bc30c5d52f15p-25,
+ 0x1.f5b2be65a0c7fp-26,
+ 0x1.d5f3a8dea7357p-26,
+ 0x1.b82915b03515bp-26,
+ 0x1.9c3517e789488p-26,
+ 0x1.81fb7df06136ep-26,
+ 0x1.6961b8d641d06p-26,
+ 0x1.524ec4d916caep-26,
+ 0x1.3cab1343d18d1p-26,
+ 0x1.2860757487a01p-26,
+ 0x1.155a09065d4f7p-26,
+ 0x1.0384250e4c9fcp-26,
+ 0x1.e59890b926c78p-27,
+ 0x1.c642116a8a9e3p-27,
+ 0x1.a8e405e651ab6p-27,
+ 0x1.8d5f98114f872p-27,
+ 0x1.7397c5a66e307p-27,
+ 0x1.5b71456c5a4c4p-27,
+ 0x1.44d26de513197p-27,
+ 0x1.2fa31d6371537p-27,
+ 0x1.1bcca373b7b43p-27,
+ 0x1.0939ab853339fp-27,
+ 0x1.efac5187b2863p-28,
+ 0x1.cf1e86235d0e6p-28,
+ 0x1.b0a68a2128babp-28,
+ 0x1.9423165bc4444p-28,
+ 0x1.7974e743dea3cp-28,
+ 0x1.607e9eacd1050p-28,
+ 0x1.4924a74dec728p-28,
+ 0x1.334d19e0c2160p-28,
+ 0x1.1edfa3c5f5ccap-28,
+ 0x1.0bc56f1b54701p-28,
+ 0x1.f3d2185e047d9p-29,
+ 0x1.d26cb87945e87p-29,
+ 0x1.b334fac4b9f99p-29,
+ 0x1.96076f7918d1cp-29,
+ 0x1.7ac2d72fc2c63p-29,
+ 0x1.614801550319ep-29,
+ 0x1.4979ac8b28926p-29,
+ 0x1.333c68e2d0548p-29,
+ 0x1.1e767bce37dd7p-29,
+ 0x1.0b0fc5b6d05a0p-29,
+ 0x1.f1e3523b41d7dp-30,
+ 0x1.d00de6608effep-30,
+ 0x1.b0778b7b3301ap-30,
+ 0x1.92fb04ec0f6cfp-30,
+ 0x1.77756ec9f78fap-30,
+ 0x1.5dc61922d5a06p-30,
+ 0x1.45ce65699ff6dp-30,
+ 0x1.2f71a5f159970p-30,
+ 0x1.1a94ff571654fp-30,
+ 0x1.071f4bbea09ecp-30,
+ 0x1.e9f1ff8ddd774p-31,
+ 0x1.c818223a202c7p-31,
+ 0x1.a887bd2b4404dp-31,
+ 0x1.8b1a336c5eb6bp-31,
+ 0x1.6fab63324088ap-31,
+ 0x1.56197e30205bap-31,
+ 0x1.3e44e45301b92p-31,
+ 0x1.281000bfe4c3fp-31,
+ 0x1.135f28f2d50b4p-31,
+ 0x1.00187dded5975p-31,
+ 0x1.dc479de0ef001p-32,
+ 0x1.bad4fdad3caa1p-32,
+ 0x1.9baed3ed27ab8p-32,
+ 0x1.7ead9ce4285bbp-32,
+ 0x1.63ac6b4edc88ep-32,
+ 0x1.4a88be2a6390cp-32,
+ 0x1.332259185f1a0p-32,
+ 0x1.1d5b1f3793044p-32,
+ 0x1.0916f04b6e18bp-32,
+ 0x1.ec77101de6926p-33,
+ 0x1.c960bf23153e0p-33,
+ 0x1.a8bd20fc65ef7p-33,
+ 0x1.8a61745ec7d1dp-33,
+ 0x1.6e25d0e756261p-33,
+ 0x1.53e4f7d1666cbp-33,
+ 0x1.3b7c27a7ddb0ep-33,
+ 0x1.24caf2c32af14p-33,
+ 0x1.0fb3186804d0fp-33,
+ 0x1.f830c0bb41fd7p-34,
+ 0x1.d3c0f1a91c846p-34,
+ 0x1.b1e5acf351d87p-34,
+ 0x1.92712d259ce66p-34,
+ 0x1.7538c60a04476p-34,
+ 0x1.5a14b04b47879p-34,
+ 0x1.40dfd87456f4cp-34,
+ 0x1.2977b1172b9d5p-34,
+ 0x1.13bc07e891491p-34,
+ 0x1.ff1dbb4300811p-35,
+ 0x1.d9a880f306bd8p-35,
+ 0x1.b6e45220b55e0p-35,
+ 0x1.96a0b33f2c4dap-35,
+ 0x1.78b07e9e924acp-35,
+ 0x1.5ce9ab1670dd2p-35,
+ 0x1.4325167006bb0p-35,
+ 0x1.2b3e53538ff3fp-35,
+ 0x1.15137a7f44864p-35,
+ 0x1.0084ff125639dp-35,
+ 0x1.daeb0b7311ec7p-36,
+ 0x1.b7937d1c40c52p-36,
+ 0x1.96d082f59ab06p-36,
+ 0x1.7872d9fa10aadp-36,
+ 0x1.5c4e8e37bc7d0p-36,
+ 0x1.423ac0df49a40p-36,
+ 0x1.2a117230ad284p-36,
+ 0x1.13af4f04f9998p-36,
+ 0x1.fde703724e560p-37,
+ 0x1.d77f0c82e7641p-37,
+ 0x1.b3ee02611d7ddp-37,
+ 0x1.92ff33023d5bdp-37,
+ 0x1.7481a9e69f53fp-37,
+ 0x1.5847eda620959p-37,
+ 0x1.3e27c1fcc74bdp-37,
+ 0x1.25f9ee0b923dcp-37,
+ 0x1.0f9a0686531ffp-37,
+ 0x1.f5cc7718082afp-38,
+ 0x1.cf7e53d6a2ca5p-38,
+ 0x1.ac0f5f3229372p-38,
+ 0x1.8b498644847eap-38,
+ 0x1.6cfa9bcca59dcp-38,
+ 0x1.50f411d4fd2cdp-38,
+ 0x1.370ab8327af5ep-38,
+ 0x1.1f167f88c6b6ep-38,
+ 0x1.08f24085d4597p-38,
+ 0x1.e8f70e181d619p-39,
+ 0x1.c324c20e337dcp-39,
+ 0x1.a03261574b54ep-39,
+ 0x1.7fe903cdf5855p-39,
+ 0x1.6215c58da3450p-39,
+ 0x1.46897d4b69fc6p-39,
+ 0x1.2d1877d731b7bp-39,
+ 0x1.159a386b11517p-39,
+ 0x1.ffd27ae9393cep-40,
+ 0x1.d7c593130dd0bp-40,
+ 0x1.b2cd607c79bcfp-40,
+ 0x1.90ae4d3405651p-40,
+ 0x1.71312dd1759e2p-40,
+ 0x1.5422ef5d8949dp-40,
+ 0x1.39544b0ecc957p-40,
+ 0x1.20997f73e73ddp-40,
+ 0x1.09ca0eaacd277p-40,
+ 0x1.e9810295890ecp-41,
+ 0x1.c2b45b5aa4a1dp-41,
+ 0x1.9eee068fa7596p-41,
+ 0x1.7df2b399c10a8p-41,
+ 0x1.5f8b87a31bd85p-41,
+ 0x1.4385c96e9a2d9p-41,
+ 0x1.29b2933ef4cbcp-41,
+ 0x1.11e68a6378f8ap-41,
+ 0x1.f7f338086a86bp-42,
+ 0x1.cf8d7d9ce040ap-42,
+ 0x1.aa577251ae484p-42,
+ 0x1.8811d739efb5ep-42,
+ 0x1.68823e52970bep-42,
+ 0x1.4b72ae68e8b4cp-42,
+ 0x1.30b14dbe876bcp-42,
+ 0x1.181012ef86610p-42,
+ 0x1.01647ba798744p-42,
+ 0x1.d90e917701675p-43,
+ 0x1.b2a87e86d0c8ap-43,
+ 0x1.8f53dcb377293p-43,
+ 0x1.6ed2f2515e933p-43,
+ 0x1.50ecc9ed47f19p-43,
+ 0x1.356cd5ce7799ep-43,
+ 0x1.1c229a587ab78p-43,
+ 0x1.04e15ecc7f3f6p-43,
+ 0x1.deffc7e6a6017p-44,
+ 0x1.b7b040832f310p-44,
+ 0x1.938e021f36d76p-44,
+ 0x1.7258610b3b233p-44,
+ 0x1.53d3bfc82a909p-44,
+ 0x1.37c92babdc2fdp-44,
+ 0x1.1e06010120f6ap-44,
+ 0x1.065b9616170d4p-44,
+ 0x1.e13dd96b3753ap-45,
+ 0x1.b950d32467392p-45,
+ 0x1.94a72263259a5p-45,
+ 0x1.72fd93e036cdcp-45,
+ 0x1.54164576929abp-45,
+ 0x1.37b83c521fe96p-45,
+ 0x1.1daf033182e96p-45,
+ 0x1.05ca50205d26ap-45,
+ 0x1.dfbb6235639fap-46,
+ 0x1.b7807e294781fp-46,
+ 0x1.9298add70a734p-46,
+ 0x1.70beaf9c7ffb6p-46,
+ 0x1.51b2cd6709222p-46,
+ 0x1.353a6cf7f7fffp-46,
+ 0x1.1b1fa8cbe84a7p-46,
+ 0x1.0330f0fd69921p-46,
+ 0x1.da81670f96f9bp-47,
+ 0x1.b24a16b4d09aap-47,
+ 0x1.8d6eeb6efdbd6p-47,
+ 0x1.6ba91ac734785p-47,
+ 0x1.4cb7966770ab5p-47,
+ 0x1.305e9721d0981p-47,
+ 0x1.1667311fff70ap-47,
+ 0x1.fd3de10d62855p-48,
+ 0x1.d1aefbcd48d0cp-48,
+ 0x1.a9cc93c25aca9p-48,
+ 0x1.85487ee3ea735p-48,
+ 0x1.63daf8b4b1e0cp-48,
+ 0x1.45421e69a6ca1p-48,
+ 0x1.294175802d99ap-48,
+ 0x1.0fa17bf41068fp-48,
+ 0x1.f05e82aae2bb9p-49,
+ 0x1.c578101b29058p-49,
+ 0x1.9e39dc5dd2f7cp-49,
+ 0x1.7a553a728bbf2p-49,
+ 0x1.5982008db1304p-49,
+ 0x1.3b7e00422e51bp-49,
+ 0x1.200c898d9ee3ep-49,
+ 0x1.06f5f7eb65a56p-49,
+ 0x1.e00e9148a1d25p-50,
+ 0x1.b623734024e92p-50,
+ 0x1.8fd4e01891bf8p-50,
+ 0x1.6cd44c7470d89p-50,
+ 0x1.4cd9c04158cd7p-50,
+ 0x1.2fa34bf5c8344p-50,
+ 0x1.14f4890ff2461p-50,
+ 0x1.f92c49dfa4df5p-51,
+ 0x1.ccaaea71ab0dfp-51,
+ 0x1.a40829f001197p-51,
+ 0x1.7eef13b59e96cp-51,
+ 0x1.5d11e1a252bf5p-51,
+ 0x1.3e296303b2297p-51,
+ 0x1.21f47009f43cep-51,
+ 0x1.083768c5e4541p-51,
+ 0x1.e1777d831265ep-52,
+ 0x1.b69f10b0191b5p-52,
+ 0x1.8f8a3a05b5b52p-52,
+ 0x1.6be573c40c8e7p-52,
+ 0x1.4b645ba991fdbp-52,
+ 0x1.2dc119095729fp-52,
+ },
+};
new file mode 100644
@@ -0,0 +1,1058 @@
+/* Table for SVE erff approximation
+
+ 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 "vecmath_config.h"
+
+/* Lookup table used in SVE erff.
+ For each possible rounded input r (multiples of 1/128), between
+ r = 0.0 and r = 4.0 (513 values):
+ - __erff_data.erf contains the values of erf(r),
+ - __erff_data.scale contains the values of 2/sqrt(pi)*exp(-r^2).
+ Note that indices 0 and 1 are never hit by the algorithm, since lookup is
+ performed only for x >= 1/64-1/512. */
+const struct sv_erff_data __sv_erff_data = {
+ .erf = { 0x0.000000p+0,
+ 0x1.20dbf4p-7,
+ 0x1.20d770p-6,
+ 0x1.b137e0p-6,
+ 0x1.20c564p-5,
+ 0x1.68e5d4p-5,
+ 0x1.b0fafep-5,
+ 0x1.f902a8p-5,
+ 0x1.207d48p-4,
+ 0x1.44703ep-4,
+ 0x1.68591ap-4,
+ 0x1.8c36bep-4,
+ 0x1.b00812p-4,
+ 0x1.d3cbf8p-4,
+ 0x1.f7815ap-4,
+ 0x1.0d9390p-3,
+ 0x1.1f5e1ap-3,
+ 0x1.311fc2p-3,
+ 0x1.42d7fcp-3,
+ 0x1.548642p-3,
+ 0x1.662a0cp-3,
+ 0x1.77c2d2p-3,
+ 0x1.895010p-3,
+ 0x1.9ad142p-3,
+ 0x1.ac45e4p-3,
+ 0x1.bdad72p-3,
+ 0x1.cf076ep-3,
+ 0x1.e05354p-3,
+ 0x1.f190aap-3,
+ 0x1.015f78p-2,
+ 0x1.09eed6p-2,
+ 0x1.127632p-2,
+ 0x1.1af54ep-2,
+ 0x1.236bf0p-2,
+ 0x1.2bd9dcp-2,
+ 0x1.343ed6p-2,
+ 0x1.3c9aa8p-2,
+ 0x1.44ed18p-2,
+ 0x1.4d35f0p-2,
+ 0x1.5574f4p-2,
+ 0x1.5da9f4p-2,
+ 0x1.65d4b8p-2,
+ 0x1.6df50ap-2,
+ 0x1.760abap-2,
+ 0x1.7e1594p-2,
+ 0x1.861566p-2,
+ 0x1.8e0a02p-2,
+ 0x1.95f336p-2,
+ 0x1.9dd0d2p-2,
+ 0x1.a5a2acp-2,
+ 0x1.ad6896p-2,
+ 0x1.b52264p-2,
+ 0x1.bccfecp-2,
+ 0x1.c47104p-2,
+ 0x1.cc0584p-2,
+ 0x1.d38d44p-2,
+ 0x1.db081cp-2,
+ 0x1.e275eap-2,
+ 0x1.e9d68ap-2,
+ 0x1.f129d4p-2,
+ 0x1.f86faap-2,
+ 0x1.ffa7eap-2,
+ 0x1.03693ap-1,
+ 0x1.06f794p-1,
+ 0x1.0a7ef6p-1,
+ 0x1.0dff50p-1,
+ 0x1.117894p-1,
+ 0x1.14eab4p-1,
+ 0x1.1855a6p-1,
+ 0x1.1bb95cp-1,
+ 0x1.1f15ccp-1,
+ 0x1.226ae8p-1,
+ 0x1.25b8a8p-1,
+ 0x1.28ff02p-1,
+ 0x1.2c3decp-1,
+ 0x1.2f755cp-1,
+ 0x1.32a54cp-1,
+ 0x1.35cdb4p-1,
+ 0x1.38ee8ap-1,
+ 0x1.3c07cap-1,
+ 0x1.3f196ep-1,
+ 0x1.42236ep-1,
+ 0x1.4525c8p-1,
+ 0x1.482074p-1,
+ 0x1.4b1372p-1,
+ 0x1.4dfebap-1,
+ 0x1.50e24cp-1,
+ 0x1.53be26p-1,
+ 0x1.569244p-1,
+ 0x1.595ea6p-1,
+ 0x1.5c2348p-1,
+ 0x1.5ee02ep-1,
+ 0x1.619556p-1,
+ 0x1.6442c0p-1,
+ 0x1.66e86ep-1,
+ 0x1.69865ep-1,
+ 0x1.6c1c98p-1,
+ 0x1.6eab18p-1,
+ 0x1.7131e6p-1,
+ 0x1.73b102p-1,
+ 0x1.762870p-1,
+ 0x1.789836p-1,
+ 0x1.7b0058p-1,
+ 0x1.7d60d8p-1,
+ 0x1.7fb9c0p-1,
+ 0x1.820b12p-1,
+ 0x1.8454d6p-1,
+ 0x1.869712p-1,
+ 0x1.88d1cep-1,
+ 0x1.8b050ep-1,
+ 0x1.8d30dep-1,
+ 0x1.8f5544p-1,
+ 0x1.91724ap-1,
+ 0x1.9387f6p-1,
+ 0x1.959652p-1,
+ 0x1.979d68p-1,
+ 0x1.999d42p-1,
+ 0x1.9b95e8p-1,
+ 0x1.9d8768p-1,
+ 0x1.9f71cap-1,
+ 0x1.a1551ap-1,
+ 0x1.a33162p-1,
+ 0x1.a506b0p-1,
+ 0x1.a6d50cp-1,
+ 0x1.a89c86p-1,
+ 0x1.aa5d26p-1,
+ 0x1.ac16fcp-1,
+ 0x1.adca14p-1,
+ 0x1.af767ap-1,
+ 0x1.b11c3cp-1,
+ 0x1.b2bb68p-1,
+ 0x1.b4540ap-1,
+ 0x1.b5e630p-1,
+ 0x1.b771e8p-1,
+ 0x1.b8f742p-1,
+ 0x1.ba764ap-1,
+ 0x1.bbef10p-1,
+ 0x1.bd61a2p-1,
+ 0x1.bece0ep-1,
+ 0x1.c03464p-1,
+ 0x1.c194b2p-1,
+ 0x1.c2ef08p-1,
+ 0x1.c44376p-1,
+ 0x1.c5920ap-1,
+ 0x1.c6dad2p-1,
+ 0x1.c81de2p-1,
+ 0x1.c95b46p-1,
+ 0x1.ca930ep-1,
+ 0x1.cbc54cp-1,
+ 0x1.ccf20cp-1,
+ 0x1.ce1962p-1,
+ 0x1.cf3b5cp-1,
+ 0x1.d0580cp-1,
+ 0x1.d16f7ep-1,
+ 0x1.d281c4p-1,
+ 0x1.d38ef0p-1,
+ 0x1.d49710p-1,
+ 0x1.d59a34p-1,
+ 0x1.d6986cp-1,
+ 0x1.d791cap-1,
+ 0x1.d8865ep-1,
+ 0x1.d97636p-1,
+ 0x1.da6162p-1,
+ 0x1.db47f4p-1,
+ 0x1.dc29fcp-1,
+ 0x1.dd0788p-1,
+ 0x1.dde0aap-1,
+ 0x1.deb570p-1,
+ 0x1.df85eap-1,
+ 0x1.e0522ap-1,
+ 0x1.e11a3ep-1,
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+ 0x1.505a18p-5,
+ 0x1.46e66cp-5,
+ 0x1.3dacd2p-5,
+ 0x1.34ac36p-5,
+ 0x1.2be38cp-5,
+ 0x1.2351c2p-5,
+ 0x1.1af5d2p-5,
+ 0x1.12ceb4p-5,
+ 0x1.0adb60p-5,
+ 0x1.031ad6p-5,
+ 0x1.f7182ap-6,
+ 0x1.e85c44p-6,
+ 0x1.da0006p-6,
+ 0x1.cc0180p-6,
+ 0x1.be5ecep-6,
+ 0x1.b1160ap-6,
+ 0x1.a4255ap-6,
+ 0x1.978ae8p-6,
+ 0x1.8b44e6p-6,
+ 0x1.7f5188p-6,
+ 0x1.73af0cp-6,
+ 0x1.685bb6p-6,
+ 0x1.5d55ccp-6,
+ 0x1.529b9ep-6,
+ 0x1.482b84p-6,
+ 0x1.3e03d8p-6,
+ 0x1.3422fep-6,
+ 0x1.2a875cp-6,
+ 0x1.212f62p-6,
+ 0x1.181984p-6,
+ 0x1.0f443ep-6,
+ 0x1.06ae14p-6,
+ 0x1.fcab14p-7,
+ 0x1.ec7262p-7,
+ 0x1.dcaf36p-7,
+ 0x1.cd5ecap-7,
+ 0x1.be7e5ap-7,
+ 0x1.b00b38p-7,
+ 0x1.a202bep-7,
+ 0x1.94624ep-7,
+ 0x1.87275ep-7,
+ 0x1.7a4f6ap-7,
+ 0x1.6dd7fep-7,
+ 0x1.61beaep-7,
+ 0x1.56011cp-7,
+ 0x1.4a9cf6p-7,
+ 0x1.3f8ff6p-7,
+ 0x1.34d7dcp-7,
+ 0x1.2a727ap-7,
+ 0x1.205dacp-7,
+ 0x1.169756p-7,
+ 0x1.0d1d6ap-7,
+ 0x1.03ede2p-7,
+ 0x1.f60d8ap-8,
+ 0x1.e4cc4ap-8,
+ 0x1.d4143ap-8,
+ 0x1.c3e1a6p-8,
+ 0x1.b430ecp-8,
+ 0x1.a4fe84p-8,
+ 0x1.9646f4p-8,
+ 0x1.8806d8p-8,
+ 0x1.7a3adep-8,
+ 0x1.6cdfccp-8,
+ 0x1.5ff276p-8,
+ 0x1.536fc2p-8,
+ 0x1.4754acp-8,
+ 0x1.3b9e40p-8,
+ 0x1.30499cp-8,
+ 0x1.2553eep-8,
+ 0x1.1aba78p-8,
+ 0x1.107a8cp-8,
+ 0x1.06918cp-8,
+ 0x1.f9f9d0p-9,
+ 0x1.e77448p-9,
+ 0x1.d58da6p-9,
+ 0x1.c4412cp-9,
+ 0x1.b38a3ap-9,
+ 0x1.a36454p-9,
+ 0x1.93cb12p-9,
+ 0x1.84ba30p-9,
+ 0x1.762d84p-9,
+ 0x1.682100p-9,
+ 0x1.5a90b0p-9,
+ 0x1.4d78bcp-9,
+ 0x1.40d564p-9,
+ 0x1.34a306p-9,
+ 0x1.28de12p-9,
+ 0x1.1d8318p-9,
+ 0x1.128ebap-9,
+ 0x1.07fdb4p-9,
+ 0x1.fb99b8p-10,
+ 0x1.e7f232p-10,
+ 0x1.d4fed8p-10,
+ 0x1.c2b9d0p-10,
+ 0x1.b11d70p-10,
+ 0x1.a02436p-10,
+ 0x1.8fc8c8p-10,
+ 0x1.8005f0p-10,
+ 0x1.70d6a4p-10,
+ 0x1.6235fcp-10,
+ 0x1.541f34p-10,
+ 0x1.468daep-10,
+ 0x1.397ceep-10,
+ 0x1.2ce898p-10,
+ 0x1.20cc76p-10,
+ 0x1.15246ep-10,
+ 0x1.09ec86p-10,
+ 0x1.fe41cep-11,
+ 0x1.e97ba4p-11,
+ 0x1.d57f52p-11,
+ 0x1.c245d4p-11,
+ 0x1.afc85ep-11,
+ 0x1.9e0058p-11,
+ 0x1.8ce75ep-11,
+ 0x1.7c7744p-11,
+ 0x1.6caa0ep-11,
+ 0x1.5d79ecp-11,
+ 0x1.4ee142p-11,
+ 0x1.40daa4p-11,
+ 0x1.3360ccp-11,
+ 0x1.266ea8p-11,
+ 0x1.19ff46p-11,
+ 0x1.0e0de8p-11,
+ 0x1.0295f0p-11,
+ 0x1.ef25d4p-12,
+ 0x1.da0110p-12,
+ 0x1.c5b542p-12,
+ 0x1.b23a5ap-12,
+ 0x1.9f8894p-12,
+ 0x1.8d986ap-12,
+ 0x1.7c629ap-12,
+ 0x1.6be022p-12,
+ 0x1.5c0a38p-12,
+ 0x1.4cda54p-12,
+ 0x1.3e4a24p-12,
+ 0x1.305390p-12,
+ 0x1.22f0b4p-12,
+ 0x1.161be4p-12,
+ 0x1.09cfa4p-12,
+ 0x1.fc0d56p-13,
+ 0x1.e577bcp-13,
+ 0x1.cfd4a6p-13,
+ 0x1.bb1a96p-13,
+ 0x1.a74068p-13,
+ 0x1.943d4ap-13,
+ 0x1.8208bcp-13,
+ 0x1.709a8ep-13,
+ 0x1.5feadap-13,
+ 0x1.4ff208p-13,
+ 0x1.40a8c2p-13,
+ 0x1.3207fcp-13,
+ 0x1.2408eap-13,
+ 0x1.16a502p-13,
+ 0x1.09d5f8p-13,
+ 0x1.fb2b7ap-14,
+ 0x1.e3bcf4p-14,
+ 0x1.cd5528p-14,
+ 0x1.b7e946p-14,
+ 0x1.a36eecp-14,
+ 0x1.8fdc1cp-14,
+ 0x1.7d2738p-14,
+ 0x1.6b4702p-14,
+ 0x1.5a329cp-14,
+ 0x1.49e178p-14,
+ 0x1.3a4b60p-14,
+ 0x1.2b6876p-14,
+ 0x1.1d3120p-14,
+ 0x1.0f9e1cp-14,
+ 0x1.02a868p-14,
+ 0x1.ec929ap-15,
+ 0x1.d4f4b4p-15,
+ 0x1.be6abcp-15,
+ 0x1.a8e8ccp-15,
+ 0x1.94637ep-15,
+ 0x1.80cfdcp-15,
+ 0x1.6e2368p-15,
+ 0x1.5c540cp-15,
+ 0x1.4b581cp-15,
+ 0x1.3b2652p-15,
+ 0x1.2bb5ccp-15,
+ 0x1.1cfe02p-15,
+ 0x1.0ef6c4p-15,
+ 0x1.019842p-15,
+ 0x1.e9b5e8p-16,
+ 0x1.d16f58p-16,
+ 0x1.ba4f04p-16,
+ 0x1.a447b8p-16,
+ 0x1.8f4cccp-16,
+ 0x1.7b5224p-16,
+ 0x1.684c22p-16,
+ 0x1.562facp-16,
+ 0x1.44f21ep-16,
+ 0x1.34894ap-16,
+ 0x1.24eb72p-16,
+ 0x1.160f44p-16,
+ 0x1.07ebd2p-16,
+ 0x1.f4f12ep-17,
+ 0x1.db5ad0p-17,
+ 0x1.c304f0p-17,
+ 0x1.abe09ep-17,
+ 0x1.95df98p-17,
+ 0x1.80f43ap-17,
+ 0x1.6d1178p-17,
+ 0x1.5a2ae0p-17,
+ 0x1.483488p-17,
+ 0x1.372310p-17,
+ 0x1.26eb9ep-17,
+ 0x1.1783cep-17,
+ 0x1.08e1bap-17,
+ 0x1.f5f7d8p-18,
+ 0x1.db92b6p-18,
+ 0x1.c282cep-18,
+ 0x1.aab7acp-18,
+ 0x1.94219cp-18,
+ 0x1.7eb1a2p-18,
+ 0x1.6a5972p-18,
+ 0x1.570b6ap-18,
+ 0x1.44ba86p-18,
+ 0x1.335a62p-18,
+ 0x1.22df2ap-18,
+ 0x1.133d96p-18,
+ 0x1.046aeap-18,
+ 0x1.ecb9d0p-19,
+ 0x1.d21398p-19,
+ 0x1.b8d094p-19,
+ 0x1.a0df10p-19,
+ 0x1.8a2e26p-19,
+ 0x1.74adc8p-19,
+ 0x1.604ea8p-19,
+ 0x1.4d0232p-19,
+ 0x1.3aba86p-19,
+ 0x1.296a70p-19,
+ 0x1.190562p-19,
+ 0x1.097f62p-19,
+ 0x1.f59a20p-20,
+ 0x1.d9c736p-20,
+ 0x1.bf716cp-20,
+ 0x1.a6852cp-20,
+ 0x1.8eefd8p-20,
+ 0x1.789fb8p-20,
+ 0x1.6383f8p-20,
+ 0x1.4f8c96p-20,
+ 0x1.3caa62p-20,
+ 0x1.2acee2p-20,
+ 0x1.19ec60p-20,
+ 0x1.09f5d0p-20,
+ 0x1.f5bd96p-21,
+ 0x1.d9371ep-21,
+ 0x1.be41dep-21,
+ 0x1.a4c89ep-21,
+ 0x1.8cb738p-21,
+ 0x1.75fa8ep-21,
+ 0x1.608078p-21,
+ 0x1.4c37c0p-21,
+ 0x1.39100ep-21,
+ 0x1.26f9e0p-21,
+ 0x1.15e682p-21,
+ 0x1.05c804p-21,
+ 0x1.ed2254p-22,
+ 0x1.d06ad6p-22,
+ 0x1.b551c8p-22,
+ 0x1.9bc0a0p-22,
+ 0x1.83a200p-22,
+ 0x1.6ce1aap-22,
+ 0x1.576c72p-22,
+ 0x1.43302cp-22,
+ 0x1.301ba2p-22,
+ 0x1.1e1e86p-22,
+ 0x1.0d2966p-22,
+ 0x1.fa5b50p-23,
+ 0x1.dc3ae4p-23,
+ 0x1.bfd756p-23,
+ 0x1.a517dap-23,
+ 0x1.8be4f8p-23,
+ 0x1.74287ep-23,
+ 0x1.5dcd66p-23,
+ 0x1.48bfd4p-23,
+ 0x1.34ecf8p-23,
+ 0x1.224310p-23,
+ 0x1.10b148p-23,
+ },
+};
@@ -28,6 +28,7 @@ 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 (erf_advsimd, _ZGVnN2v_erf)
VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp)
VPCS_VECTOR_WRAPPER (exp10_advsimd, _ZGVnN2v_exp10)
VPCS_VECTOR_WRAPPER (exp2_advsimd, _ZGVnN2v_exp2)
@@ -47,6 +47,7 @@ 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 (erf_sve, _ZGVsMxv_erf)
SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp)
SVE_VECTOR_WRAPPER (exp10_sve, _ZGVsMxv_exp10)
SVE_VECTOR_WRAPPER (exp2_sve, _ZGVsMxv_exp2)
@@ -28,6 +28,7 @@ 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 (erff_advsimd, _ZGVnN4v_erff)
VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf)
VPCS_VECTOR_WRAPPER (exp10f_advsimd, _ZGVnN4v_exp10f)
VPCS_VECTOR_WRAPPER (exp2f_advsimd, _ZGVnN4v_exp2f)
@@ -47,6 +47,7 @@ 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 (erff_sve, _ZGVsMxv_erff)
SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf)
SVE_VECTOR_WRAPPER (exp10f_sve, _ZGVsMxv_exp10f)
SVE_VECTOR_WRAPPER (exp2f_sve, _ZGVsMxv_exp2f)
@@ -84,4 +84,32 @@ extern const struct v_log10_data
} table[1 << V_LOG10_TABLE_BITS];
} __v_log10_data attribute_hidden;
+extern const struct erff_data
+{
+ struct
+ {
+ float erf, scale;
+ } tab[513];
+} __erff_data attribute_hidden;
+
+extern const struct sv_erff_data
+{
+ float erf[513];
+ float scale[513];
+} __sv_erff_data attribute_hidden;
+
+extern const struct erf_data
+{
+ struct
+ {
+ double erf, scale;
+ } tab[769];
+} __erf_data attribute_hidden;
+
+extern const struct sv_erf_data
+{
+ double erf[769];
+ double scale[769];
+} __sv_erf_data attribute_hidden;
+
#endif
@@ -957,11 +957,19 @@ double: 1
float: 1
ldouble: 1
+Function: "erf_advsimd":
+double: 1
+float: 2
+
Function: "erf_downward":
double: 1
float: 1
ldouble: 2
+Function: "erf_sve":
+double: 1
+float: 2
+
Function: "erf_towardzero":
double: 1
float: 1
@@ -73,3 +73,8 @@ GLIBC_2.39 _ZGVsMxv_tan F
GLIBC_2.39 _ZGVsMxv_tanf F
GLIBC_2.39 _ZGVsMxvv_atan2 F
GLIBC_2.39 _ZGVsMxvv_atan2f F
+GLIBC_2.40 _ZGVnN2v_erf F
+GLIBC_2.40 _ZGVnN2v_erff F
+GLIBC_2.40 _ZGVnN4v_erff F
+GLIBC_2.40 _ZGVsMxv_erf F
+GLIBC_2.40 _ZGVsMxv_erff F