diff options
| -rw-r--r-- | sysdeps/aarch64/fpu/Makefile | 4 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/Versions | 4 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/bits/math-vector.h | 4 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/exp_advsimd.c | 136 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/exp_sve.c | 142 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/expf_advsimd.c | 133 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/expf_sve.c | 90 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-double-sve-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/test-float-sve-wrappers.c | 1 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/v_exp_data.c | 66 | ||||
| -rw-r--r-- | sysdeps/aarch64/fpu/vecmath_config.h | 3 | ||||
| -rw-r--r-- | sysdeps/aarch64/libm-test-ulps | 8 | ||||
| -rw-r--r-- | sysdeps/unix/sysv/linux/aarch64/libmvec.abilist | 4 |
15 files changed, 597 insertions, 1 deletions
diff --git a/sysdeps/aarch64/fpu/Makefile b/sysdeps/aarch64/fpu/Makefile index cc90c4cb75..04aa2e37ca 100644 --- a/sysdeps/aarch64/fpu/Makefile +++ b/sysdeps/aarch64/fpu/Makefile @@ -1,4 +1,5 @@ libmvec-supported-funcs = cos \ + exp \ log \ sin @@ -12,7 +13,8 @@ libmvec-support = $(addsuffix f_advsimd,$(float-advsimd-funcs)) \ $(addsuffix _advsimd,$(double-advsimd-funcs)) \ $(addsuffix f_sve,$(float-sve-funcs)) \ $(addsuffix _sve,$(double-sve-funcs)) \ - v_log_data + v_log_data \ + v_exp_data endif sve-cflags = -march=armv8-a+sve diff --git a/sysdeps/aarch64/fpu/Versions b/sysdeps/aarch64/fpu/Versions index 902446f40d..c85c0f3efb 100644 --- a/sysdeps/aarch64/fpu/Versions +++ b/sysdeps/aarch64/fpu/Versions @@ -1,13 +1,17 @@ libmvec { GLIBC_2.38 { _ZGVnN2v_cos; + _ZGVnN2v_exp; _ZGVnN2v_log; _ZGVnN2v_sin; _ZGVnN4v_cosf; + _ZGVnN4v_expf; _ZGVnN4v_logf; _ZGVnN4v_sinf; _ZGVsMxv_cos; _ZGVsMxv_cosf; + _ZGVsMxv_exp; + _ZGVsMxv_expf; _ZGVsMxv_log; _ZGVsMxv_logf; _ZGVsMxv_sin; diff --git a/sysdeps/aarch64/fpu/bits/math-vector.h b/sysdeps/aarch64/fpu/bits/math-vector.h index 70c737338e..7c200599c1 100644 --- a/sysdeps/aarch64/fpu/bits/math-vector.h +++ b/sysdeps/aarch64/fpu/bits/math-vector.h @@ -50,10 +50,12 @@ typedef __SVBool_t __sv_bool_t; # define __vpcs __attribute__ ((__aarch64_vector_pcs__)) __vpcs __f32x4_t _ZGVnN4v_cosf (__f32x4_t); +__vpcs __f32x4_t _ZGVnN4v_expf (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_logf (__f32x4_t); __vpcs __f32x4_t _ZGVnN4v_sinf (__f32x4_t); __vpcs __f64x2_t _ZGVnN2v_cos (__f64x2_t); +__vpcs __f64x2_t _ZGVnN2v_exp (__f64x2_t); __vpcs __f64x2_t _ZGVnN2v_log (__f64x2_t); __vpcs __f64x2_t _ZGVnN2v_sin (__f64x2_t); @@ -63,10 +65,12 @@ __vpcs __f64x2_t _ZGVnN2v_sin (__f64x2_t); #ifdef __SVE_VEC_MATH_SUPPORTED __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_logf (__sv_f32_t, __sv_bool_t); __sv_f32_t _ZGVsMxv_sinf (__sv_f32_t, __sv_bool_t); __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_log (__sv_f64_t, __sv_bool_t); __sv_f64_t _ZGVsMxv_sin (__sv_f64_t, __sv_bool_t); diff --git a/sysdeps/aarch64/fpu/exp_advsimd.c b/sysdeps/aarch64/fpu/exp_advsimd.c new file mode 100644 index 0000000000..022e717cb3 --- /dev/null +++ b/sysdeps/aarch64/fpu/exp_advsimd.c @@ -0,0 +1,136 @@ +/* Double-precision vector (Advanced SIMD) exp function. + + 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" + +#define N (1 << V_EXP_TABLE_BITS) +#define IndexMask (N - 1) + +const static volatile struct +{ + float64x2_t poly[3]; + float64x2_t inv_ln2, ln2_hi, ln2_lo, shift; +#if !WANT_SIMD_EXCEPT + float64x2_t special_bound, scale_thresh; +#endif +} data = { + /* maxerr: 1.88 +0.5 ulp + rel error: 1.4337*2^-53 + abs error: 1.4299*2^-53 in [ -ln2/256, ln2/256 ]. */ + .poly = { V2 (0x1.ffffffffffd43p-2), V2 (0x1.55555c75adbb2p-3), + V2 (0x1.55555da646206p-5) }, +#if !WANT_SIMD_EXCEPT + .scale_thresh = V2 (163840.0), /* 1280.0 * N. */ + .special_bound = V2 (704.0), +#endif + .inv_ln2 = V2 (0x1.71547652b82fep7), /* N/ln2. */ + .ln2_hi = V2 (0x1.62e42fefa39efp-8), /* ln2/N. */ + .ln2_lo = V2 (0x1.abc9e3b39803f3p-63), + .shift = V2 (0x1.8p+52) +}; + +#define C(i) data.poly[i] +#define Tab __v_exp_data + +#if WANT_SIMD_EXCEPT + +# define TinyBound v_u64 (0x2000000000000000) /* asuint64 (0x1p-511). */ +# define BigBound v_u64 (0x4080000000000000) /* asuint64 (0x1p9). */ +# define SpecialBound v_u64 (0x2080000000000000) /* BigBound - TinyBound. */ + +static inline float64x2_t VPCS_ATTR +special_case (float64x2_t x, float64x2_t y, uint64x2_t cmp) +{ + /* If fenv exceptions are to be triggered correctly, fall back to the scalar + routine to special lanes. */ + return v_call_f64 (exp, x, y, cmp); +} + +#else + +# define SpecialOffset v_u64 (0x6000000000000000) /* 0x1p513. */ +/* SpecialBias1 + SpecialBias1 = asuint(1.0). */ +# define SpecialBias1 v_u64 (0x7000000000000000) /* 0x1p769. */ +# define SpecialBias2 v_u64 (0x3010000000000000) /* 0x1p-254. */ + +static float64x2_t VPCS_ATTR NOINLINE +special_case (float64x2_t s, float64x2_t y, float64x2_t n) +{ + /* 2^(n/N) may overflow, break it up into s1*s2. */ + uint64x2_t b = vandq_u64 (vcltzq_f64 (n), SpecialOffset); + float64x2_t s1 = vreinterpretq_f64_u64 (vsubq_u64 (SpecialBias1, b)); + float64x2_t s2 = vreinterpretq_f64_u64 ( + vaddq_u64 (vsubq_u64 (vreinterpretq_u64_f64 (s), SpecialBias2), b)); + uint64x2_t cmp = vcagtq_f64 (n, data.scale_thresh); + float64x2_t r1 = vmulq_f64 (s1, s1); + float64x2_t r0 = vmulq_f64 (vfmaq_f64 (s2, y, s2), s1); + return vbslq_f64 (cmp, r1, r0); +} + +#endif + +float64x2_t VPCS_ATTR V_NAME_D1 (exp) (float64x2_t x) +{ + float64x2_t n, r, r2, s, y, z; + uint64x2_t cmp, u, e; + +#if WANT_SIMD_EXCEPT + /* If any lanes are special, mask them with 1 and retain a copy of x to allow + special_case to fix special lanes later. This is only necessary if fenv + exceptions are to be triggered correctly. */ + float64x2_t xm = x; + uint64x2_t iax = vreinterpretq_u64_f64 (vabsq_f64 (x)); + cmp = vcgeq_u64 (vsubq_u64 (iax, TinyBound), SpecialBound); + if (__glibc_unlikely (v_any_u64 (cmp))) + x = vbslq_f64 (cmp, v_f64 (1), x); +#else + cmp = vcagtq_f64 (x, data.special_bound); +#endif + + /* n = round(x/(ln2/N)). */ + z = vfmaq_f64 (data.shift, x, data.inv_ln2); + u = vreinterpretq_u64_f64 (z); + n = vsubq_f64 (z, data.shift); + + /* r = x - n*ln2/N. */ + r = x; + r = vfmsq_f64 (r, data.ln2_hi, n); + r = vfmsq_f64 (r, data.ln2_lo, n); + + e = vshlq_n_u64 (u, 52 - V_EXP_TABLE_BITS); + + /* y = exp(r) - 1 ~= r + C0 r^2 + C1 r^3 + C2 r^4. */ + r2 = vmulq_f64 (r, r); + y = vfmaq_f64 (C (0), C (1), r); + y = vfmaq_f64 (y, C (2), r2); + y = vfmaq_f64 (r, y, r2); + + /* s = 2^(n/N). */ + u = (uint64x2_t){ Tab[u[0] & IndexMask], Tab[u[1] & IndexMask] }; + s = vreinterpretq_f64_u64 (vaddq_u64 (u, e)); + + if (__glibc_unlikely (v_any_u64 (cmp))) +#if WANT_SIMD_EXCEPT + return special_case (xm, vfmaq_f64 (s, y, s), cmp); +#else + return special_case (s, y, n); +#endif + + return vfmaq_f64 (s, y, s); +} diff --git a/sysdeps/aarch64/fpu/exp_sve.c b/sysdeps/aarch64/fpu/exp_sve.c new file mode 100644 index 0000000000..ec0932bd70 --- /dev/null +++ b/sysdeps/aarch64/fpu/exp_sve.c @@ -0,0 +1,142 @@ +/* Double-precision vector (SVE) exp function. + + 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" + +static const struct data +{ + double poly[4]; + double ln2_hi, ln2_lo, inv_ln2, shift, thres; +} data = { + .poly = { /* ulp error: 0.53. */ + 0x1.fffffffffdbcdp-2, 0x1.555555555444cp-3, 0x1.555573c6a9f7dp-5, + 0x1.1111266d28935p-7 }, + .ln2_hi = 0x1.62e42fefa3800p-1, + .ln2_lo = 0x1.ef35793c76730p-45, + /* 1/ln2. */ + .inv_ln2 = 0x1.71547652b82fep+0, + /* 1.5*2^46+1023. This value is further explained below. */ + .shift = 0x1.800000000ffc0p+46, + .thres = 704.0, +}; + +#define C(i) sv_f64 (d->poly[i]) +#define SpecialOffset 0x6000000000000000 /* 0x1p513. */ +/* SpecialBias1 + SpecialBias1 = asuint(1.0). */ +#define SpecialBias1 0x7000000000000000 /* 0x1p769. */ +#define SpecialBias2 0x3010000000000000 /* 0x1p-254. */ + +/* Update of both special and non-special cases, if any special case is + detected. */ +static inline svfloat64_t +special_case (svbool_t pg, svfloat64_t s, svfloat64_t y, svfloat64_t n) +{ + /* s=2^n may overflow, break it up into s=s1*s2, + such that exp = s + s*y can be computed as s1*(s2+s2*y) + and s1*s1 overflows only if n>0. */ + + /* If n<=0 then set b to 0x6, 0 otherwise. */ + svbool_t p_sign = svcmple_n_f64 (pg, n, 0.0); /* n <= 0. */ + svuint64_t b + = svdup_n_u64_z (p_sign, SpecialOffset); /* Inactive lanes set to 0. */ + + /* Set s1 to generate overflow depending on sign of exponent n. */ + svfloat64_t s1 = svreinterpret_f64_u64 ( + svsubr_n_u64_x (pg, b, SpecialBias1)); /* 0x70...0 - b. */ + /* Offset s to avoid overflow in final result if n is below threshold. */ + svfloat64_t s2 = svreinterpret_f64_u64 (svadd_u64_x ( + pg, svsub_n_u64_x (pg, svreinterpret_u64_f64 (s), SpecialBias2), + b)); /* as_u64 (s) - 0x3010...0 + b. */ + + /* |n| > 1280 => 2^(n) overflows. */ + svbool_t p_cmp = svacgt_n_f64 (pg, n, 1280.0); + + svfloat64_t r1 = svmul_f64_x (pg, s1, s1); + svfloat64_t r2 = svmla_f64_x (pg, s2, s2, y); + svfloat64_t r0 = svmul_f64_x (pg, r2, s1); + + return svsel_f64 (p_cmp, r1, r0); +} + +/* SVE exp algorithm. Maximum measured error is 1.01ulps: + SV_NAME_D1 (exp)(0x1.4619d7b04da41p+6) got 0x1.885d9acc41da7p+117 + want 0x1.885d9acc41da6p+117. */ +svfloat64_t SV_NAME_D1 (exp) (svfloat64_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + + svbool_t special = svacgt_n_f64 (pg, x, d->thres); + + /* Use a modifed version of the shift used for flooring, such that x/ln2 is + rounded to a multiple of 2^-6=1/64, shift = 1.5 * 2^52 * 2^-6 = 1.5 * + 2^46. + + n is not an integer but can be written as n = m + i/64, with i and m + integer, 0 <= i < 64 and m <= n. + + Bits 5:0 of z will be null every time x/ln2 reaches a new integer value + (n=m, i=0), and is incremented every time z (or n) is incremented by 1/64. + FEXPA expects i in bits 5:0 of the input so it can be used as index into + FEXPA hardwired table T[i] = 2^(i/64) for i = 0:63, that will in turn + populate the mantissa of the output. Therefore, we use u=asuint(z) as + input to FEXPA. + + We add 1023 to the modified shift value in order to set bits 16:6 of u to + 1, such that once these bits are moved to the exponent of the output of + FEXPA, we get the exponent of 2^n right, i.e. we get 2^m. */ + svfloat64_t z = svmla_n_f64_x (pg, sv_f64 (d->shift), x, d->inv_ln2); + svuint64_t u = svreinterpret_u64_f64 (z); + svfloat64_t n = svsub_n_f64_x (pg, z, d->shift); + + /* r = x - n * ln2, r is in [-ln2/(2N), ln2/(2N)]. */ + svfloat64_t ln2 = svld1rq_f64 (svptrue_b64 (), &d->ln2_hi); + svfloat64_t r = svmls_lane_f64 (x, n, ln2, 0); + r = svmls_lane_f64 (r, n, ln2, 1); + + /* y = exp(r) - 1 ~= r + C0 r^2 + C1 r^3 + C2 r^4 + C3 r^5. */ + svfloat64_t r2 = svmul_f64_x (pg, r, r); + svfloat64_t p01 = svmla_f64_x (pg, C (0), C (1), r); + svfloat64_t p23 = svmla_f64_x (pg, C (2), C (3), r); + svfloat64_t p04 = svmla_f64_x (pg, p01, p23, r2); + svfloat64_t y = svmla_f64_x (pg, r, p04, r2); + + /* s = 2^n, computed using FEXPA. FEXPA does not propagate NaNs, so for + consistent NaN handling we have to manually propagate them. This comes at + significant performance cost. */ + svfloat64_t s = svexpa_f64 (u); + + /* Assemble result as exp(x) = 2^n * exp(r). If |x| > Thresh the + multiplication may overflow, so use special case routine. */ + + if (__glibc_unlikely (svptest_any (pg, special))) + { + /* FEXPA zeroes the sign bit, however the sign is meaningful to the + special case function so needs to be copied. + e = sign bit of u << 46. */ + svuint64_t e + = svand_n_u64_x (pg, svlsl_n_u64_x (pg, u, 46), 0x8000000000000000); + /* Copy sign to s. */ + s = svreinterpret_f64_u64 ( + svadd_u64_x (pg, e, svreinterpret_u64_f64 (s))); + return special_case (pg, s, y, n); + } + + /* No special case. */ + return svmla_f64_x (pg, s, s, y); +} diff --git a/sysdeps/aarch64/fpu/expf_advsimd.c b/sysdeps/aarch64/fpu/expf_advsimd.c new file mode 100644 index 0000000000..69d5d1ea77 --- /dev/null +++ b/sysdeps/aarch64/fpu/expf_advsimd.c @@ -0,0 +1,133 @@ +/* Single-precision vector (Advanced SIMD) exp function. + + 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" + +static const struct data +{ + float32x4_t poly[5]; + float32x4_t shift, inv_ln2, ln2_hi, ln2_lo; + uint32x4_t exponent_bias; +#if !WANT_SIMD_EXCEPT + float32x4_t special_bound, scale_thresh; +#endif +} data = { + /* maxerr: 1.45358 +0.5 ulp. */ + .poly = { V4 (0x1.0e4020p-7f), V4 (0x1.573e2ep-5f), V4 (0x1.555e66p-3f), + V4 (0x1.fffdb6p-2f), V4 (0x1.ffffecp-1f) }, + .shift = V4 (0x1.8p23f), + .inv_ln2 = V4 (0x1.715476p+0f), + .ln2_hi = V4 (0x1.62e4p-1f), + .ln2_lo = V4 (0x1.7f7d1cp-20f), + .exponent_bias = V4 (0x3f800000), +#if !WANT_SIMD_EXCEPT + .special_bound = V4 (126.0f), + .scale_thresh = V4 (192.0f), +#endif +}; + +#define C(i) d->poly[i] + +#if WANT_SIMD_EXCEPT + +# define TinyBound v_u32 (0x20000000) /* asuint (0x1p-63). */ +# define BigBound v_u32 (0x42800000) /* asuint (0x1p6). */ +# define SpecialBound v_u32 (0x22800000) /* BigBound - TinyBound. */ + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t x, float32x4_t y, uint32x4_t cmp) +{ + /* If fenv exceptions are to be triggered correctly, fall back to the scalar + routine to special lanes. */ + return v_call_f32 (expf, x, y, cmp); +} + +#else + +# define SpecialOffset v_u32 (0x82000000) +# define SpecialBias v_u32 (0x7f000000) + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t poly, float32x4_t n, uint32x4_t e, uint32x4_t cmp1, + float32x4_t scale, const struct data *d) +{ + /* 2^n may overflow, break it up into s1*s2. */ + uint32x4_t b = vandq_u32 (vclezq_f32 (n), SpecialOffset); + float32x4_t s1 = vreinterpretq_f32_u32 (vaddq_u32 (b, SpecialBias)); + float32x4_t s2 = vreinterpretq_f32_u32 (vsubq_u32 (e, b)); + uint32x4_t cmp2 = vcagtq_f32 (n, d->scale_thresh); + float32x4_t r2 = vmulq_f32 (s1, s1); + float32x4_t r1 = vmulq_f32 (vfmaq_f32 (s2, poly, s2), s1); + /* Similar to r1 but avoids double rounding in the subnormal range. */ + float32x4_t r0 = vfmaq_f32 (scale, poly, scale); + float32x4_t r = vbslq_f32 (cmp1, r1, r0); + return vbslq_f32 (cmp2, r2, r); +} + +#endif + +float32x4_t VPCS_ATTR V_NAME_F1 (exp) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + float32x4_t n, r, r2, scale, p, q, poly, z; + uint32x4_t cmp, e; + +#if WANT_SIMD_EXCEPT + /* asuint(x) - TinyBound >= BigBound - TinyBound. */ + cmp = vcgeq_u32 ( + vsubq_u32 (vandq_u32 (vreinterpretq_u32_f32 (x), v_u32 (0x7fffffff)), + TinyBound), + SpecialBound); + 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 + + /* exp(x) = 2^n (1 + poly(r)), with 1 + poly(r) in [1/sqrt(2),sqrt(2)] + x = ln2*n + r, with r in [-ln2/2, ln2/2]. */ + z = vfmaq_f32 (d->shift, x, d->inv_ln2); + n = vsubq_f32 (z, d->shift); + r = vfmsq_f32 (x, n, d->ln2_hi); + r = vfmsq_f32 (r, n, d->ln2_lo); + e = vshlq_n_u32 (vreinterpretq_u32_f32 (z), 23); + scale = vreinterpretq_f32_u32 (vaddq_u32 (e, d->exponent_bias)); + +#if !WANT_SIMD_EXCEPT + cmp = vcagtq_f32 (n, d->special_bound); +#endif + + r2 = vmulq_f32 (r, r); + p = vfmaq_f32 (C (1), C (0), r); + q = vfmaq_f32 (C (3), C (2), r); + q = vfmaq_f32 (q, p, r2); + p = vmulq_f32 (C (4), r); + poly = vfmaq_f32 (p, q, r2); + + if (__glibc_unlikely (v_any_u32 (cmp))) +#if WANT_SIMD_EXCEPT + return special_case (xm, vfmaq_f32 (scale, poly, scale), cmp); +#else + return special_case (poly, n, e, cmp, scale, d); +#endif + + return vfmaq_f32 (scale, poly, scale); +} diff --git a/sysdeps/aarch64/fpu/expf_sve.c b/sysdeps/aarch64/fpu/expf_sve.c new file mode 100644 index 0000000000..03f2e086ed --- /dev/null +++ b/sysdeps/aarch64/fpu/expf_sve.c @@ -0,0 +1,90 @@ +/* Single-precision vector (SVE) exp function. + + 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" + +static const struct data +{ + float poly[5]; + float inv_ln2, ln2_hi, ln2_lo, shift, thres; +} data = { + /* Coefficients copied from the polynomial in AdvSIMD variant, reversed for + compatibility with polynomial helpers. */ + .poly = { 0x1.ffffecp-1f, 0x1.fffdb6p-2f, 0x1.555e66p-3f, 0x1.573e2ep-5f, + 0x1.0e4020p-7f }, + .inv_ln2 = 0x1.715476p+0f, + .ln2_hi = 0x1.62e4p-1f, + .ln2_lo = 0x1.7f7d1cp-20f, + /* 1.5*2^17 + 127. */ + .shift = 0x1.903f8p17f, + /* Roughly 87.3. For x < -Thres, the result is subnormal and not handled + correctly by FEXPA. */ + .thres = 0x1.5d5e2ap+6f, +}; + +#define C(i) sv_f32 (d->poly[i]) +#define ExponentBias 0x3f800000 + +static svfloat32_t NOINLINE +special_case (svfloat32_t x, svfloat32_t y, svbool_t special) +{ + return sv_call_f32 (expf, x, y, special); +} + +/* Optimised single-precision SVE exp function. + Worst-case error is 1.04 ulp: + SV_NAME_F1 (exp)(0x1.a8eda4p+1) got 0x1.ba74bcp+4 + want 0x1.ba74bap+4. */ +svfloat32_t SV_NAME_F1 (exp) (svfloat32_t x, const svbool_t pg) +{ + const struct data *d = ptr_barrier (&data); + + /* exp(x) = 2^n (1 + poly(r)), with 1 + poly(r) in [1/sqrt(2),sqrt(2)] + x = ln2*n + r, with r in [-ln2/2, ln2/2]. */ + + /* Load some constants in quad-word chunks to minimise memory access (last + lane is wasted). */ + svfloat32_t invln2_and_ln2 = svld1rq_f32 (svptrue_b32 (), &d->inv_ln2); + + /* n = round(x/(ln2/N)). */ + svfloat32_t z = svmla_lane_f32 (sv_f32 (d->shift), x, invln2_and_ln2, 0); + svfloat32_t n = svsub_n_f32_x (pg, z, d->shift); + + /* r = x - n*ln2/N. */ + svfloat32_t r = svmls_lane_f32 (x, n, invln2_and_ln2, 1); + r = svmls_lane_f32 (r, n, invln2_and_ln2, 2); + +/* scale = 2^(n/N). */ + svbool_t is_special_case = svacgt_n_f32 (pg, x, d->thres); + svfloat32_t scale = svexpa_f32 (svreinterpret_u32_f32 (z)); + + /* y = exp(r) - 1 ~= r + C0 r^2 + C1 r^3 + C2 r^4 + C3 r^5 + C4 r^6. */ + svfloat32_t p12 = svmla_f32_x (pg, C (1), C (2), r); + svfloat32_t p34 = svmla_f32_x (pg, C (3), C (4), r); + svfloat32_t r2 = svmul_f32_x (pg, r, r); + svfloat32_t p14 = svmla_f32_x (pg, p12, p34, r2); + svfloat32_t p0 = svmul_f32_x (pg, r, C (0)); + svfloat32_t poly = svmla_f32_x (pg, p0, r2, p14); + + if (__glibc_unlikely (svptest_any (pg, is_special_case))) + return special_case (x, svmla_f32_x (pg, scale, scale, poly), + is_special_case); + + return svmla_f32_x (pg, scale, scale, poly); +} diff --git a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c index c5f6fcd7c4..3b6b1e343d 100644 --- a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c +++ b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c @@ -24,5 +24,6 @@ #define VEC_TYPE float64x2_t VPCS_VECTOR_WRAPPER (cos_advsimd, _ZGVnN2v_cos) +VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp) VPCS_VECTOR_WRAPPER (log_advsimd, _ZGVnN2v_log) VPCS_VECTOR_WRAPPER (sin_advsimd, _ZGVnN2v_sin) diff --git a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c index d5e2ec6dc5..d7ac47ca22 100644 --- a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c +++ b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c @@ -33,5 +33,6 @@ } SVE_VECTOR_WRAPPER (cos_sve, _ZGVsMxv_cos) +SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp) SVE_VECTOR_WRAPPER (log_sve, _ZGVsMxv_log) SVE_VECTOR_WRAPPER (sin_sve, _ZGVsMxv_sin) diff --git a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c index c240738837..d4a9ac7154 100644 --- a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c +++ b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c @@ -24,5 +24,6 @@ #define VEC_TYPE float32x4_t VPCS_VECTOR_WRAPPER (cosf_advsimd, _ZGVnN4v_cosf) +VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf) VPCS_VECTOR_WRAPPER (logf_advsimd, _ZGVnN4v_logf) VPCS_VECTOR_WRAPPER (sinf_advsimd, _ZGVnN4v_sinf) diff --git a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c index 5a06b75857..d44033eab0 100644 --- a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c +++ b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c @@ -33,5 +33,6 @@ } SVE_VECTOR_WRAPPER (cosf_sve, _ZGVsMxv_cosf) +SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf) SVE_VECTOR_WRAPPER (logf_sve, _ZGVsMxv_logf) SVE_VECTOR_WRAPPER (sinf_sve, _ZGVsMxv_sinf) diff --git a/sysdeps/aarch64/fpu/v_exp_data.c b/sysdeps/aarch64/fpu/v_exp_data.c new file mode 100644 index 0000000000..b857062f78 --- /dev/null +++ b/sysdeps/aarch64/fpu/v_exp_data.c @@ -0,0 +1,66 @@ +/* Scale values for vector exp and exp2 + + 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 "vecmath_config.h" + +const uint64_t __v_exp_data[] = { + 0x3ff0000000000000, 0x3feff63da9fb3335, 0x3fefec9a3e778061, + 0x3fefe315e86e7f85, 0x3fefd9b0d3158574, 0x3fefd06b29ddf6de, + 0x3fefc74518759bc8, 0x3fefbe3ecac6f383, 0x3fefb5586cf9890f, + 0x3fefac922b7247f7, 0x3fefa3ec32d3d1a2, 0x3fef9b66affed31b, + 0x3fef9301d0125b51, 0x3fef8abdc06c31cc, 0x3fef829aaea92de0, + 0x3fef7a98c8a58e51, 0x3fef72b83c7d517b, 0x3fef6af9388c8dea, + 0x3fef635beb6fcb75, 0x3fef5be084045cd4, 0x3fef54873168b9aa, + 0x3fef4d5022fcd91d, 0x3fef463b88628cd6, 0x3fef3f49917ddc96, + 0x3fef387a6e756238, 0x3fef31ce4fb2a63f, 0x3fef2b4565e27cdd, + 0x3fef24dfe1f56381, 0x3fef1e9df51fdee1, 0x3fef187fd0dad990, + 0x3fef1285a6e4030b, 0x3fef0cafa93e2f56, 0x3fef06fe0a31b715, + 0x3fef0170fc4cd831, 0x3feefc08b26416ff, 0x3feef6c55f929ff1, + 0x3feef1a7373aa9cb, 0x3feeecae6d05d866, 0x3feee7db34e59ff7, + 0x3feee32dc313a8e5, 0x3feedea64c123422, 0x3feeda4504ac801c, + 0x3feed60a21f72e2a, 0x3feed1f5d950a897, 0x3feece086061892d, + 0x3feeca41ed1d0057, 0x3feec6a2b5c13cd0, 0x3feec32af0d7d3de, + 0x3feebfdad5362a27, 0x3feebcb299fddd0d, 0x3feeb9b2769d2ca7, + 0x3feeb6daa2cf6642, 0x3feeb42b569d4f82, 0x3feeb1a4ca5d920f, + 0x3feeaf4736b527da, 0x3feead12d497c7fd, 0x3feeab07dd485429, + 0x3feea9268a5946b7, 0x3feea76f15ad2148, 0x3feea5e1b976dc09, + 0x3feea47eb03a5585, 0x3feea34634ccc320, 0x3feea23882552225, + 0x3feea155d44ca973, 0x3feea09e667f3bcd, 0x3feea012750bdabf, + 0x3fee9fb23c651a2f, 0x3fee9f7df9519484, 0x3fee9f75e8ec5f74, + 0x3fee9f9a48a58174, 0x3fee9feb564267c9, 0x3feea0694fde5d3f, + 0x3feea11473eb0187, 0x3feea1ed0130c132, 0x3feea2f336cf4e62, + 0x3feea427543e1a12, 0x3feea589994cce13, 0x3feea71a4623c7ad, + 0x3feea8d99b4492ed, 0x3feeaac7d98a6699, 0x3feeace5422aa0db, + 0x3feeaf3216b5448c, 0x3feeb1ae99157736, 0x3feeb45b0b91ffc6, + 0x3feeb737b0cdc5e5, 0x3feeba44cbc8520f, 0x3feebd829fde4e50, + 0x3feec0f170ca07ba, 0x3feec49182a3f090, 0x3feec86319e32323, + 0x3feecc667b5de565, 0x3feed09bec4a2d33, 0x3feed503b23e255d, + 0x3feed99e1330b358, 0x3feede6b5579fdbf, 0x3feee36bbfd3f37a, + 0x3feee89f995ad3ad, 0x3feeee07298db666, 0x3feef3a2b84f15fb, + 0x3feef9728de5593a, 0x3feeff76f2fb5e47, 0x3fef05b030a1064a, + 0x3fef0c1e904bc1d2, 0x3fef12c25bd71e09, 0x3fef199bdd85529c, + 0x3fef20ab5fffd07a, 0x3fef27f12e57d14b, 0x3fef2f6d9406e7b5, + 0x3fef3720dcef9069, 0x3fef3f0b555dc3fa, 0x3fef472d4a07897c, + 0x3fef4f87080d89f2, 0x3fef5818dcfba487, 0x3fef60e316c98398, + 0x3fef69e603db3285, 0x3fef7321f301b460, 0x3fef7c97337b9b5f, + 0x3fef864614f5a129, 0x3fef902ee78b3ff6, 0x3fef9a51fbc74c83, + 0x3fefa4afa2a490da, 0x3fefaf482d8e67f1, 0x3fefba1bee615a27, + 0x3fefc52b376bba97, 0x3fefd0765b6e4540, 0x3fefdbfdad9cbe14, + 0x3fefe7c1819e90d8, 0x3feff3c22b8f71f1, +}; diff --git a/sysdeps/aarch64/fpu/vecmath_config.h b/sysdeps/aarch64/fpu/vecmath_config.h index 0920658a0c..e7d30b477f 100644 --- a/sysdeps/aarch64/fpu/vecmath_config.h +++ b/sysdeps/aarch64/fpu/vecmath_config.h @@ -45,4 +45,7 @@ extern const struct v_log_data double invc[1 << V_LOG_TABLE_BITS]; double logc[1 << V_LOG_TABLE_BITS]; } __v_log_data attribute_hidden; + +#define V_EXP_TABLE_BITS 7 +extern const uint64_t __v_exp_data[1 << V_EXP_TABLE_BITS] attribute_hidden; #endif diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps index 7bdbf4614d..6b25ed43e0 100644 --- a/sysdeps/aarch64/libm-test-ulps +++ b/sysdeps/aarch64/libm-test-ulps @@ -1005,10 +1005,18 @@ double: 1 float: 1 ldouble: 2 +Function: "exp_advsimd": +double: 1 +float: 1 + Function: "exp_downward": double: 1 float: 1 +Function: "exp_sve": +double: 1 +float: 1 + Function: "exp_towardzero": double: 1 float: 1 diff --git a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist index 1922191886..ae46ef8c34 100644 --- a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist +++ b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist @@ -1,11 +1,15 @@ GLIBC_2.38 _ZGVnN2v_cos F +GLIBC_2.38 _ZGVnN2v_exp F GLIBC_2.38 _ZGVnN2v_log F GLIBC_2.38 _ZGVnN2v_sin F GLIBC_2.38 _ZGVnN4v_cosf F +GLIBC_2.38 _ZGVnN4v_expf F GLIBC_2.38 _ZGVnN4v_logf F GLIBC_2.38 _ZGVnN4v_sinf F GLIBC_2.38 _ZGVsMxv_cos F GLIBC_2.38 _ZGVsMxv_cosf F +GLIBC_2.38 _ZGVsMxv_exp F +GLIBC_2.38 _ZGVsMxv_expf F GLIBC_2.38 _ZGVsMxv_log F GLIBC_2.38 _ZGVsMxv_logf F GLIBC_2.38 _ZGVsMxv_sin F |