aboutsummaryrefslogtreecommitdiff
path: root/pl/math/v_tanh_3u.c
diff options
context:
space:
mode:
Diffstat (limited to 'pl/math/v_tanh_3u.c')
-rw-r--r--pl/math/v_tanh_3u.c106
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)