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authorJoe Ramsay <Joe.Ramsay@arm.com>2023-11-16 13:24:18 +0000
committerSzabolcs Nagy <szabolcs.nagy@arm.com>2023-11-20 17:53:14 +0000
commita8830c928540011120ac742d632ed51d52af01df (patch)
tree3c219e1d2abfb616ebb3a512bcccabcd415dab29 /sysdeps/aarch64/fpu
parent65341f7bbea824d2ff9d37db15d8be162df42bd3 (diff)
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aarch64: Add vector implementations of expm1 routines
May discard sign of 0 - auto tests for -0 and -0x1p-10000 updated accordingly.
Diffstat (limited to 'sysdeps/aarch64/fpu')
-rw-r--r--sysdeps/aarch64/fpu/Makefile1
-rw-r--r--sysdeps/aarch64/fpu/Versions4
-rw-r--r--sysdeps/aarch64/fpu/bits/math-vector.h4
-rw-r--r--sysdeps/aarch64/fpu/expm1_advsimd.c122
-rw-r--r--sysdeps/aarch64/fpu/expm1_sve.c99
-rw-r--r--sysdeps/aarch64/fpu/expm1f_advsimd.c117
-rw-r--r--sysdeps/aarch64/fpu/expm1f_sve.c99
-rw-r--r--sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c1
-rw-r--r--sysdeps/aarch64/fpu/test-double-sve-wrappers.c1
-rw-r--r--sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c1
-rw-r--r--sysdeps/aarch64/fpu/test-float-sve-wrappers.c1
11 files changed, 450 insertions, 0 deletions
diff --git a/sysdeps/aarch64/fpu/Makefile b/sysdeps/aarch64/fpu/Makefile
index c77c709..1fe4b52 100644
--- a/sysdeps/aarch64/fpu/Makefile
+++ b/sysdeps/aarch64/fpu/Makefile
@@ -6,6 +6,7 @@ libmvec-supported-funcs = acos \
exp \
exp10 \
exp2 \
+ expm1 \
log \
log10 \
log1p \
diff --git a/sysdeps/aarch64/fpu/Versions b/sysdeps/aarch64/fpu/Versions
index 2543649..aaacaca 100644
--- a/sysdeps/aarch64/fpu/Versions
+++ b/sysdeps/aarch64/fpu/Versions
@@ -42,6 +42,10 @@ libmvec {
_ZGVnN2v_exp2;
_ZGVsMxv_exp2f;
_ZGVsMxv_exp2;
+ _ZGVnN4v_expm1f;
+ _ZGVnN2v_expm1;
+ _ZGVsMxv_expm1f;
+ _ZGVsMxv_expm1;
_ZGVnN4v_log10f;
_ZGVnN2v_log10;
_ZGVsMxv_log10f;
diff --git a/sysdeps/aarch64/fpu/bits/math-vector.h b/sysdeps/aarch64/fpu/bits/math-vector.h
index 51915ce..52aad95 100644
--- a/sysdeps/aarch64/fpu/bits/math-vector.h
+++ b/sysdeps/aarch64/fpu/bits/math-vector.h
@@ -57,6 +57,7 @@ __vpcs __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_expf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_exp10f (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_exp2f (__f32x4_t);
+__vpcs __f32x4_t _ZGVnN4v_expm1f (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_logf (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_log10f (__f32x4_t);
__vpcs __f32x4_t _ZGVnN4v_log1pf (__f32x4_t);
@@ -72,6 +73,7 @@ __vpcs __f64x2_t _ZGVnN2v_cos (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp10 (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_exp2 (__f64x2_t);
+__vpcs __f64x2_t _ZGVnN2v_expm1 (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_log (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_log10 (__f64x2_t);
__vpcs __f64x2_t _ZGVnN2v_log1p (__f64x2_t);
@@ -92,6 +94,7 @@ __sv_f32_t _ZGVsMxv_cosf (__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);
+__sv_f32_t _ZGVsMxv_expm1f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_logf (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log10f (__sv_f32_t, __sv_bool_t);
__sv_f32_t _ZGVsMxv_log1pf (__sv_f32_t, __sv_bool_t);
@@ -107,6 +110,7 @@ __sv_f64_t _ZGVsMxv_cos (__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);
+__sv_f64_t _ZGVsMxv_expm1 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log10 (__sv_f64_t, __sv_bool_t);
__sv_f64_t _ZGVsMxv_log1p (__sv_f64_t, __sv_bool_t);
diff --git a/sysdeps/aarch64/fpu/expm1_advsimd.c b/sysdeps/aarch64/fpu/expm1_advsimd.c
new file mode 100644
index 0000000..a3aed8e
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1_advsimd.c
@@ -0,0 +1,122 @@
+/* Double-precision AdvSIMD expm1
+
+ Copyright (C) 2023 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include "v_math.h"
+#include "poly_advsimd_f64.h"
+
+static const struct data
+{
+ float64x2_t poly[11];
+ float64x2_t invln2, ln2_lo, ln2_hi, shift;
+ int64x2_t exponent_bias;
+#if WANT_SIMD_EXCEPT
+ uint64x2_t thresh, tiny_bound;
+#else
+ float64x2_t oflow_bound;
+#endif
+} data = {
+ /* Generated using fpminimax, with degree=12 in [log(2)/2, log(2)/2]. */
+ .poly = { V2 (0x1p-1), V2 (0x1.5555555555559p-3), V2 (0x1.555555555554bp-5),
+ V2 (0x1.111111110f663p-7), V2 (0x1.6c16c16c1b5f3p-10),
+ V2 (0x1.a01a01affa35dp-13), V2 (0x1.a01a018b4ecbbp-16),
+ V2 (0x1.71ddf82db5bb4p-19), V2 (0x1.27e517fc0d54bp-22),
+ V2 (0x1.af5eedae67435p-26), V2 (0x1.1f143d060a28ap-29) },
+ .invln2 = V2 (0x1.71547652b82fep0),
+ .ln2_hi = V2 (0x1.62e42fefa39efp-1),
+ .ln2_lo = V2 (0x1.abc9e3b39803fp-56),
+ .shift = V2 (0x1.8p52),
+ .exponent_bias = V2 (0x3ff0000000000000),
+#if WANT_SIMD_EXCEPT
+ /* asuint64(oflow_bound) - asuint64(0x1p-51), shifted left by 1 for abs
+ compare. */
+ .thresh = V2 (0x78c56fa6d34b552),
+ /* asuint64(0x1p-51) << 1. */
+ .tiny_bound = V2 (0x3cc0000000000000 << 1),
+#else
+ /* Value above which expm1(x) should overflow. Absolute value of the
+ underflow bound is greater than this, so it catches both cases - there is
+ a small window where fallbacks are triggered unnecessarily. */
+ .oflow_bound = V2 (0x1.62b7d369a5aa9p+9),
+#endif
+};
+
+static float64x2_t VPCS_ATTR NOINLINE
+special_case (float64x2_t x, float64x2_t y, uint64x2_t special)
+{
+ return v_call_f64 (expm1, x, y, special);
+}
+
+/* Double-precision vector exp(x) - 1 function.
+ The maximum error observed error is 2.18 ULP:
+ _ZGVnN2v_expm1 (0x1.634ba0c237d7bp-2) got 0x1.a8b9ea8d66e22p-2
+ want 0x1.a8b9ea8d66e2p-2. */
+float64x2_t VPCS_ATTR V_NAME_D1 (expm1) (float64x2_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ uint64x2_t ix = vreinterpretq_u64_f64 (x);
+
+#if WANT_SIMD_EXCEPT
+ /* If fp exceptions are to be triggered correctly, fall back to scalar for
+ |x| < 2^-51, |x| > oflow_bound, Inf & NaN. Add ix to itself for
+ shift-left by 1, and compare with thresh which was left-shifted offline -
+ this is effectively an absolute compare. */
+ uint64x2_t special
+ = vcgeq_u64 (vsubq_u64 (vaddq_u64 (ix, ix), d->tiny_bound), d->thresh);
+ if (__glibc_unlikely (v_any_u64 (special)))
+ x = v_zerofy_f64 (x, special);
+#else
+ /* Large input, NaNs and Infs. */
+ uint64x2_t special = vceqzq_u64 (vcaltq_f64 (x, d->oflow_bound));
+#endif
+
+ /* Reduce argument to smaller range:
+ Let i = round(x / ln2)
+ and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+ exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+ where 2^i is exact because i is an integer. */
+ float64x2_t n = vsubq_f64 (vfmaq_f64 (d->shift, d->invln2, x), d->shift);
+ int64x2_t i = vcvtq_s64_f64 (n);
+ float64x2_t f = vfmsq_f64 (x, n, d->ln2_hi);
+ f = vfmsq_f64 (f, n, d->ln2_lo);
+
+ /* Approximate expm1(f) using polynomial.
+ Taylor expansion for expm1(x) has the form:
+ x + ax^2 + bx^3 + cx^4 ....
+ So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+ and assemble the approximation expm1(f) ~= f + f^2 * P(f). */
+ float64x2_t f2 = vmulq_f64 (f, f);
+ float64x2_t f4 = vmulq_f64 (f2, f2);
+ float64x2_t f8 = vmulq_f64 (f4, f4);
+ float64x2_t p = vfmaq_f64 (f, f2, v_estrin_10_f64 (f, f2, f4, f8, d->poly));
+
+ /* Assemble the result.
+ expm1(x) ~= 2^i * (p + 1) - 1
+ Let t = 2^i. */
+ int64x2_t u = vaddq_s64 (vshlq_n_s64 (i, 52), d->exponent_bias);
+ float64x2_t t = vreinterpretq_f64_s64 (u);
+
+ if (__glibc_unlikely (v_any_u64 (special)))
+ return special_case (vreinterpretq_f64_u64 (ix),
+ vfmaq_f64 (vsubq_f64 (t, v_f64 (1.0)), p, t),
+ special);
+
+ /* expm1(x) ~= p * t + (t - 1). */
+ return vfmaq_f64 (vsubq_f64 (t, v_f64 (1.0)), p, t);
+}
diff --git a/sysdeps/aarch64/fpu/expm1_sve.c b/sysdeps/aarch64/fpu/expm1_sve.c
new file mode 100644
index 0000000..50646af
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1_sve.c
@@ -0,0 +1,99 @@
+/* Double-precision SVE expm1
+
+ Copyright (C) 2023 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include "sv_math.h"
+#include "poly_sve_f64.h"
+
+#define SpecialBound 0x1.62b7d369a5aa9p+9
+#define ExponentBias 0x3ff0000000000000
+
+static const struct data
+{
+ double poly[11];
+ double shift, inv_ln2, special_bound;
+ /* To be loaded in one quad-word. */
+ double ln2_hi, ln2_lo;
+} data = {
+ /* Generated using fpminimax. */
+ .poly = { 0x1p-1, 0x1.5555555555559p-3, 0x1.555555555554bp-5,
+ 0x1.111111110f663p-7, 0x1.6c16c16c1b5f3p-10, 0x1.a01a01affa35dp-13,
+ 0x1.a01a018b4ecbbp-16, 0x1.71ddf82db5bb4p-19, 0x1.27e517fc0d54bp-22,
+ 0x1.af5eedae67435p-26, 0x1.1f143d060a28ap-29, },
+
+ .special_bound = SpecialBound,
+ .inv_ln2 = 0x1.71547652b82fep0,
+ .ln2_hi = 0x1.62e42fefa39efp-1,
+ .ln2_lo = 0x1.abc9e3b39803fp-56,
+ .shift = 0x1.8p52,
+};
+
+static svfloat64_t NOINLINE
+special_case (svfloat64_t x, svfloat64_t y, svbool_t pg)
+{
+ return sv_call_f64 (expm1, x, y, pg);
+}
+
+/* Double-precision vector exp(x) - 1 function.
+ The maximum error observed error is 2.18 ULP:
+ _ZGVsMxv_expm1(0x1.634ba0c237d7bp-2) got 0x1.a8b9ea8d66e22p-2
+ want 0x1.a8b9ea8d66e2p-2. */
+svfloat64_t SV_NAME_D1 (expm1) (svfloat64_t x, svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ /* Large, Nan/Inf. */
+ svbool_t special = svnot_z (pg, svaclt (pg, x, d->special_bound));
+
+ /* Reduce argument to smaller range:
+ Let i = round(x / ln2)
+ and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+ exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+ where 2^i is exact because i is an integer. */
+ svfloat64_t shift = sv_f64 (d->shift);
+ svfloat64_t n = svsub_x (pg, svmla_x (pg, shift, x, d->inv_ln2), shift);
+ svint64_t i = svcvt_s64_x (pg, n);
+ svfloat64_t ln2 = svld1rq (svptrue_b64 (), &d->ln2_hi);
+ svfloat64_t f = svmls_lane (x, n, ln2, 0);
+ f = svmls_lane (f, n, ln2, 1);
+
+ /* Approximate expm1(f) using polynomial.
+ Taylor expansion for expm1(x) has the form:
+ x + ax^2 + bx^3 + cx^4 ....
+ So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+ and assemble the approximation expm1(f) ~= f + f^2 * P(f). */
+ svfloat64_t f2 = svmul_x (pg, f, f);
+ svfloat64_t f4 = svmul_x (pg, f2, f2);
+ svfloat64_t f8 = svmul_x (pg, f4, f4);
+ svfloat64_t p
+ = svmla_x (pg, f, f2, sv_estrin_10_f64_x (pg, f, f2, f4, f8, d->poly));
+
+ /* Assemble the result.
+ expm1(x) ~= 2^i * (p + 1) - 1
+ Let t = 2^i. */
+ svint64_t u = svadd_x (pg, svlsl_x (pg, i, 52), ExponentBias);
+ svfloat64_t t = svreinterpret_f64 (u);
+
+ /* expm1(x) ~= p * t + (t - 1). */
+ svfloat64_t y = svmla_x (pg, svsub_x (pg, t, 1), p, t);
+
+ if (__glibc_unlikely (svptest_any (pg, special)))
+ return special_case (x, y, special);
+
+ return y;
+}
diff --git a/sysdeps/aarch64/fpu/expm1f_advsimd.c b/sysdeps/aarch64/fpu/expm1f_advsimd.c
new file mode 100644
index 0000000..b27b750
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1f_advsimd.c
@@ -0,0 +1,117 @@
+/* Single-precision AdvSIMD expm1
+
+ Copyright (C) 2023 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include "v_math.h"
+#include "poly_advsimd_f32.h"
+
+static const struct data
+{
+ float32x4_t poly[5];
+ float32x4_t invln2, ln2_lo, ln2_hi, shift;
+ int32x4_t exponent_bias;
+#if WANT_SIMD_EXCEPT
+ uint32x4_t thresh;
+#else
+ float32x4_t oflow_bound;
+#endif
+} data = {
+ /* Generated using fpminimax with degree=5 in [-log(2)/2, log(2)/2]. */
+ .poly = { V4 (0x1.fffffep-2), V4 (0x1.5554aep-3), V4 (0x1.555736p-5),
+ V4 (0x1.12287cp-7), V4 (0x1.6b55a2p-10) },
+ .invln2 = V4 (0x1.715476p+0f),
+ .ln2_hi = V4 (0x1.62e4p-1f),
+ .ln2_lo = V4 (0x1.7f7d1cp-20f),
+ .shift = V4 (0x1.8p23f),
+ .exponent_bias = V4 (0x3f800000),
+#if !WANT_SIMD_EXCEPT
+ /* Value above which expm1f(x) should overflow. Absolute value of the
+ underflow bound is greater than this, so it catches both cases - there is
+ a small window where fallbacks are triggered unnecessarily. */
+ .oflow_bound = V4 (0x1.5ebc4p+6),
+#else
+ /* asuint(oflow_bound) - asuint(0x1p-23), shifted left by 1 for absolute
+ compare. */
+ .thresh = V4 (0x1d5ebc40),
+#endif
+};
+
+/* asuint(0x1p-23), shifted by 1 for abs compare. */
+#define TinyBound v_u32 (0x34000000 << 1)
+
+static float32x4_t VPCS_ATTR NOINLINE
+special_case (float32x4_t x, float32x4_t y, uint32x4_t special)
+{
+ return v_call_f32 (expm1f, x, y, special);
+}
+
+/* Single-precision vector exp(x) - 1 function.
+ The maximum error is 1.51 ULP:
+ _ZGVnN4v_expm1f (0x1.8baa96p-2) got 0x1.e2fb9p-2
+ want 0x1.e2fb94p-2. */
+float32x4_t VPCS_ATTR V_NAME_F1 (expm1) (float32x4_t x)
+{
+ const struct data *d = ptr_barrier (&data);
+ uint32x4_t ix = vreinterpretq_u32_f32 (x);
+
+#if WANT_SIMD_EXCEPT
+ /* If fp exceptions are to be triggered correctly, fall back to scalar for
+ |x| < 2^-23, |x| > oflow_bound, Inf & NaN. Add ix to itself for
+ shift-left by 1, and compare with thresh which was left-shifted offline -
+ this is effectively an absolute compare. */
+ uint32x4_t special
+ = vcgeq_u32 (vsubq_u32 (vaddq_u32 (ix, ix), TinyBound), d->thresh);
+ if (__glibc_unlikely (v_any_u32 (special)))
+ x = v_zerofy_f32 (x, special);
+#else
+ /* Handles very large values (+ve and -ve), +/-NaN, +/-Inf. */
+ uint32x4_t special = vceqzq_u32 (vcaltq_f32 (x, d->oflow_bound));
+#endif
+
+ /* Reduce argument to smaller range:
+ Let i = round(x / ln2)
+ and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+ exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+ where 2^i is exact because i is an integer. */
+ float32x4_t j = vsubq_f32 (vfmaq_f32 (d->shift, d->invln2, x), d->shift);
+ int32x4_t i = vcvtq_s32_f32 (j);
+ float32x4_t f = vfmsq_f32 (x, j, d->ln2_hi);
+ f = vfmsq_f32 (f, j, d->ln2_lo);
+
+ /* Approximate expm1(f) using polynomial.
+ Taylor expansion for expm1(x) has the form:
+ x + ax^2 + bx^3 + cx^4 ....
+ So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+ and assemble the approximation expm1(f) ~= f + f^2 * P(f). */
+ float32x4_t p = v_horner_4_f32 (f, d->poly);
+ p = vfmaq_f32 (f, vmulq_f32 (f, f), p);
+
+ /* Assemble the result.
+ expm1(x) ~= 2^i * (p + 1) - 1
+ Let t = 2^i. */
+ int32x4_t u = vaddq_s32 (vshlq_n_s32 (i, 23), d->exponent_bias);
+ float32x4_t t = vreinterpretq_f32_s32 (u);
+
+ if (__glibc_unlikely (v_any_u32 (special)))
+ return special_case (vreinterpretq_f32_u32 (ix),
+ vfmaq_f32 (vsubq_f32 (t, v_f32 (1.0f)), p, t),
+ special);
+
+ /* expm1(x) ~= p * t + (t - 1). */
+ return vfmaq_f32 (vsubq_f32 (t, v_f32 (1.0f)), p, t);
+}
diff --git a/sysdeps/aarch64/fpu/expm1f_sve.c b/sysdeps/aarch64/fpu/expm1f_sve.c
new file mode 100644
index 0000000..96e579e
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1f_sve.c
@@ -0,0 +1,99 @@
+/* Single-precision SVE expm1
+
+ Copyright (C) 2023 Free Software Foundation, Inc.
+ This file is part of the GNU C Library.
+
+ The GNU C Library is free software; you can redistribute it and/or
+ modify it under the terms of the GNU Lesser General Public
+ License as published by the Free Software Foundation; either
+ version 2.1 of the License, or (at your option) any later version.
+
+ The GNU C Library is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
+ Lesser General Public License for more details.
+
+ You should have received a copy of the GNU Lesser General Public
+ License along with the GNU C Library; if not, see
+ <https://www.gnu.org/licenses/>. */
+
+#include "sv_math.h"
+#include "poly_sve_f32.h"
+
+/* Largest value of x for which expm1(x) should round to -1. */
+#define SpecialBound 0x1.5ebc4p+6f
+
+static const struct data
+{
+ /* These 4 are grouped together so they can be loaded as one quadword, then
+ used with _lane forms of svmla/svmls. */
+ float c2, c4, ln2_hi, ln2_lo;
+ float c0, c1, c3, inv_ln2, special_bound, shift;
+} data = {
+ /* Generated using fpminimax. */
+ .c0 = 0x1.fffffep-2, .c1 = 0x1.5554aep-3,
+ .c2 = 0x1.555736p-5, .c3 = 0x1.12287cp-7,
+ .c4 = 0x1.6b55a2p-10,
+
+ .special_bound = SpecialBound, .shift = 0x1.8p23f,
+ .inv_ln2 = 0x1.715476p+0f, .ln2_hi = 0x1.62e4p-1f,
+ .ln2_lo = 0x1.7f7d1cp-20f,
+};
+
+#define C(i) sv_f32 (d->c##i)
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svbool_t pg)
+{
+ return sv_call_f32 (expm1f, x, x, pg);
+}
+
+/* Single-precision SVE exp(x) - 1. Maximum error is 1.52 ULP:
+ _ZGVsMxv_expm1f(0x1.8f4ebcp-2) got 0x1.e859dp-2
+ want 0x1.e859d4p-2. */
+svfloat32_t SV_NAME_F1 (expm1) (svfloat32_t x, svbool_t pg)
+{
+ const struct data *d = ptr_barrier (&data);
+
+ /* Large, NaN/Inf. */
+ svbool_t special = svnot_z (pg, svaclt (pg, x, d->special_bound));
+
+ if (__glibc_unlikely (svptest_any (pg, special)))
+ return special_case (x, pg);
+
+ /* This vector is reliant on layout of data - it contains constants
+ that can be used with _lane forms of svmla/svmls. Values are:
+ [ coeff_2, coeff_4, ln2_hi, ln2_lo ]. */
+ svfloat32_t lane_constants = svld1rq (svptrue_b32 (), &d->c2);
+
+ /* Reduce argument to smaller range:
+ Let i = round(x / ln2)
+ and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+ exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+ where 2^i is exact because i is an integer. */
+ svfloat32_t j = svmla_x (pg, sv_f32 (d->shift), x, d->inv_ln2);
+ j = svsub_x (pg, j, d->shift);
+ svint32_t i = svcvt_s32_x (pg, j);
+
+ svfloat32_t f = svmls_lane (x, j, lane_constants, 2);
+ f = svmls_lane (f, j, lane_constants, 3);
+
+ /* Approximate expm1(f) using polynomial.
+ Taylor expansion for expm1(x) has the form:
+ x + ax^2 + bx^3 + cx^4 ....
+ So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+ and assemble the approximation expm1(f) ~= f + f^2 * P(f). */
+ svfloat32_t p12 = svmla_lane (C (1), f, lane_constants, 0);
+ svfloat32_t p34 = svmla_lane (C (3), f, lane_constants, 1);
+ svfloat32_t f2 = svmul_x (pg, f, f);
+ svfloat32_t p = svmla_x (pg, p12, f2, p34);
+ p = svmla_x (pg, C (0), f, p);
+ p = svmla_x (pg, f, f2, p);
+
+ /* Assemble the result.
+ expm1(x) ~= 2^i * (p + 1) - 1
+ Let t = 2^i. */
+ svfloat32_t t = svreinterpret_f32 (
+ svadd_x (pg, svreinterpret_u32 (svlsl_x (pg, i, 23)), 0x3f800000));
+ return svmla_x (pg, svsub_x (pg, t, 1), p, t);
+}
diff --git a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
index fc9e7ae..bf49545 100644
--- a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
@@ -31,6 +31,7 @@ VPCS_VECTOR_WRAPPER (cos_advsimd, _ZGVnN2v_cos)
VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp)
VPCS_VECTOR_WRAPPER (exp10_advsimd, _ZGVnN2v_exp10)
VPCS_VECTOR_WRAPPER (exp2_advsimd, _ZGVnN2v_exp2)
+VPCS_VECTOR_WRAPPER (expm1_advsimd, _ZGVnN2v_expm1)
VPCS_VECTOR_WRAPPER (log_advsimd, _ZGVnN2v_log)
VPCS_VECTOR_WRAPPER (log10_advsimd, _ZGVnN2v_log10)
VPCS_VECTOR_WRAPPER (log1p_advsimd, _ZGVnN2v_log1p)
diff --git a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
index aea589d..b5a627a 100644
--- a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
@@ -50,6 +50,7 @@ SVE_VECTOR_WRAPPER (cos_sve, _ZGVsMxv_cos)
SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp)
SVE_VECTOR_WRAPPER (exp10_sve, _ZGVsMxv_exp10)
SVE_VECTOR_WRAPPER (exp2_sve, _ZGVsMxv_exp2)
+SVE_VECTOR_WRAPPER (expm1_sve, _ZGVsMxv_expm1)
SVE_VECTOR_WRAPPER (log_sve, _ZGVsMxv_log)
SVE_VECTOR_WRAPPER (log10_sve, _ZGVsMxv_log10)
SVE_VECTOR_WRAPPER (log1p_sve, _ZGVsMxv_log1p)
diff --git a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
index 446fd7f..26d9e98 100644
--- a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
@@ -31,6 +31,7 @@ VPCS_VECTOR_WRAPPER (cosf_advsimd, _ZGVnN4v_cosf)
VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf)
VPCS_VECTOR_WRAPPER (exp10f_advsimd, _ZGVnN4v_exp10f)
VPCS_VECTOR_WRAPPER (exp2f_advsimd, _ZGVnN4v_exp2f)
+VPCS_VECTOR_WRAPPER (expm1f_advsimd, _ZGVnN4v_expm1f)
VPCS_VECTOR_WRAPPER (logf_advsimd, _ZGVnN4v_logf)
VPCS_VECTOR_WRAPPER (log10f_advsimd, _ZGVnN4v_log10f)
VPCS_VECTOR_WRAPPER (log1pf_advsimd, _ZGVnN4v_log1pf)
diff --git a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
index ac17f60..f286ee6 100644
--- a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
@@ -50,6 +50,7 @@ SVE_VECTOR_WRAPPER (cosf_sve, _ZGVsMxv_cosf)
SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf)
SVE_VECTOR_WRAPPER (exp10f_sve, _ZGVsMxv_exp10f)
SVE_VECTOR_WRAPPER (exp2f_sve, _ZGVsMxv_exp2f)
+SVE_VECTOR_WRAPPER (expm1f_sve, _ZGVsMxv_expm1f)
SVE_VECTOR_WRAPPER (logf_sve, _ZGVsMxv_logf)
SVE_VECTOR_WRAPPER (log10f_sve, _ZGVsMxv_log10f)
SVE_VECTOR_WRAPPER (log1pf_sve, _ZGVsMxv_log1pf)