diff options
Diffstat (limited to 'pl/math/v_tanh_3u.c')
-rw-r--r-- | pl/math/v_tanh_3u.c | 106 |
1 files changed, 0 insertions, 106 deletions
diff --git a/pl/math/v_tanh_3u.c b/pl/math/v_tanh_3u.c deleted file mode 100644 index 5de85c68da2c..000000000000 --- a/pl/math/v_tanh_3u.c +++ /dev/null @@ -1,106 +0,0 @@ -/* - * Double-precision vector tanh(x) function. - * Copyright (c) 2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "v_math.h" -#include "poly_advsimd_f64.h" -#include "mathlib.h" -#include "pl_sig.h" -#include "pl_test.h" - -static const struct data -{ - float64x2_t poly[11]; - float64x2_t inv_ln2, ln2_hi, ln2_lo, shift; - uint64x2_t onef; - uint64x2_t thresh, tiny_bound; -} data = { - /* Generated using Remez, deg=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), }, - - .inv_ln2 = V2 (0x1.71547652b82fep0), - .ln2_hi = V2 (-0x1.62e42fefa39efp-1), - .ln2_lo = V2 (-0x1.abc9e3b39803fp-56), - .shift = V2 (0x1.8p52), - - .onef = V2 (0x3ff0000000000000), - .tiny_bound = V2 (0x3e40000000000000), /* asuint64 (0x1p-27). */ - /* asuint64(0x1.241bf835f9d5fp+4) - asuint64(tiny_bound). */ - .thresh = V2 (0x01f241bf835f9d5f), -}; - -static inline float64x2_t -expm1_inline (float64x2_t x, const struct data *d) -{ - /* Helper routine for calculating exp(x) - 1. Vector port of the helper from - the scalar variant of tanh. */ - - /* Reduce argument: f in [-ln2/2, ln2/2], i is exact. */ - float64x2_t j = vsubq_f64 (vfmaq_f64 (d->shift, d->inv_ln2, x), d->shift); - int64x2_t i = vcvtq_s64_f64 (j); - float64x2_t f = vfmaq_f64 (x, j, d->ln2_hi); - f = vfmaq_f64 (f, j, d->ln2_lo); - - /* Approximate expm1(f) using polynomial. */ - float64x2_t f2 = vmulq_f64 (f, f); - float64x2_t f4 = vmulq_f64 (f2, f2); - float64x2_t p = vfmaq_f64 ( - f, f2, v_estrin_10_f64 (f, f2, f4, vmulq_f64 (f4, f4), d->poly)); - - /* t = 2 ^ i. */ - float64x2_t t = vreinterpretq_f64_u64 ( - vaddq_u64 (vreinterpretq_u64_s64 (i << 52), d->onef)); - /* expm1(x) = p * t + (t - 1). */ - return vfmaq_f64 (vsubq_f64 (t, v_f64 (1)), p, t); -} - -static float64x2_t NOINLINE VPCS_ATTR -special_case (float64x2_t x, float64x2_t y, uint64x2_t special) -{ - return v_call_f64 (tanh, x, y, special); -} - -/* Vector approximation for double-precision tanh(x), using a simplified - version of expm1. The greatest observed error is 2.77 ULP: - _ZGVnN2v_tanh(-0x1.c4a4ca0f9f3b7p-3) got -0x1.bd6a21a163627p-3 - want -0x1.bd6a21a163624p-3. */ -float64x2_t VPCS_ATTR V_NAME_D1 (tanh) (float64x2_t x) -{ - const struct data *d = ptr_barrier (&data); - - uint64x2_t ia = vreinterpretq_u64_f64 (vabsq_f64 (x)); - - float64x2_t u = x; - - /* Trigger special-cases for tiny, boring and infinity/NaN. */ - uint64x2_t special = vcgtq_u64 (vsubq_u64 (ia, d->tiny_bound), d->thresh); -#if WANT_SIMD_EXCEPT - /* To trigger fp exceptions correctly, set special lanes to a neutral value. - They will be fixed up later by the special-case handler. */ - if (unlikely (v_any_u64 (special))) - u = v_zerofy_f64 (u, special); -#endif - - u = vaddq_f64 (u, u); - - /* tanh(x) = (e^2x - 1) / (e^2x + 1). */ - float64x2_t q = expm1_inline (u, d); - float64x2_t qp2 = vaddq_f64 (q, v_f64 (2)); - - if (unlikely (v_any_u64 (special))) - return special_case (x, vdivq_f64 (q, qp2), special); - return vdivq_f64 (q, qp2); -} - -PL_SIG (V, D, 1, tanh, -10.0, 10.0) -PL_TEST_ULP (V_NAME_D1 (tanh), 2.27) -PL_TEST_EXPECT_FENV (V_NAME_D1 (tanh), WANT_SIMD_EXCEPT) -PL_TEST_SYM_INTERVAL (V_NAME_D1 (tanh), 0, 0x1p-27, 5000) -PL_TEST_SYM_INTERVAL (V_NAME_D1 (tanh), 0x1p-27, 0x1.241bf835f9d5fp+4, 50000) -PL_TEST_SYM_INTERVAL (V_NAME_D1 (tanh), 0x1.241bf835f9d5fp+4, inf, 1000) |