diff options
Diffstat (limited to 'pl/math/sv_cosh_2u.c')
| -rw-r--r-- | pl/math/sv_cosh_2u.c | 100 |
1 files changed, 0 insertions, 100 deletions
diff --git a/pl/math/sv_cosh_2u.c b/pl/math/sv_cosh_2u.c deleted file mode 100644 index a6d743fb9b96..000000000000 --- a/pl/math/sv_cosh_2u.c +++ /dev/null @@ -1,100 +0,0 @@ -/* - * Double-precision SVE cosh(x) function. - * - * Copyright (c) 2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "sv_math.h" -#include "pl_sig.h" -#include "pl_test.h" - -static const struct data -{ - float64_t poly[3]; - float64_t inv_ln2, ln2_hi, ln2_lo, shift, thres; - uint64_t index_mask, special_bound; -} data = { - .poly = { 0x1.fffffffffffd4p-2, 0x1.5555571d6b68cp-3, - 0x1.5555576a59599p-5, }, - - .inv_ln2 = 0x1.71547652b82fep8, /* N/ln2. */ - /* -ln2/N. */ - .ln2_hi = -0x1.62e42fefa39efp-9, - .ln2_lo = -0x1.abc9e3b39803f3p-64, - .shift = 0x1.8p+52, - .thres = 704.0, - - .index_mask = 0xff, - /* 0x1.6p9, above which exp overflows. */ - .special_bound = 0x4086000000000000, -}; - -static svfloat64_t NOINLINE -special_case (svfloat64_t x, svfloat64_t y, svbool_t special) -{ - return sv_call_f64 (cosh, x, y, special); -} - -/* Helper for approximating exp(x). Copied from sv_exp_tail, with no - special-case handling or tail. */ -static inline svfloat64_t -exp_inline (svfloat64_t x, const svbool_t pg, const struct data *d) -{ - /* Calculate exp(x). */ - svfloat64_t z = svmla_x (pg, sv_f64 (d->shift), x, d->inv_ln2); - svfloat64_t n = svsub_x (pg, z, d->shift); - - svfloat64_t r = svmla_x (pg, x, n, d->ln2_hi); - r = svmla_x (pg, r, n, d->ln2_lo); - - svuint64_t u = svreinterpret_u64 (z); - svuint64_t e = svlsl_x (pg, u, 52 - V_EXP_TAIL_TABLE_BITS); - svuint64_t i = svand_x (pg, u, d->index_mask); - - svfloat64_t y = svmla_x (pg, sv_f64 (d->poly[1]), r, d->poly[2]); - y = svmla_x (pg, sv_f64 (d->poly[0]), r, y); - y = svmla_x (pg, sv_f64 (1.0), r, y); - y = svmul_x (pg, r, y); - - /* s = 2^(n/N). */ - u = svld1_gather_index (pg, __v_exp_tail_data, i); - svfloat64_t s = svreinterpret_f64 (svadd_x (pg, u, e)); - - return svmla_x (pg, s, s, y); -} - -/* Approximation for SVE double-precision cosh(x) using exp_inline. - cosh(x) = (exp(x) + exp(-x)) / 2. - The greatest observed error is in the scalar fall-back region, so is the - same as the scalar routine, 1.93 ULP: - _ZGVsMxv_cosh (0x1.628ad45039d2fp+9) got 0x1.fd774e958236dp+1021 - want 0x1.fd774e958236fp+1021. - - The greatest observed error in the non-special region is 1.54 ULP: - _ZGVsMxv_cosh (0x1.ba5651dd4486bp+2) got 0x1.f5e2bb8d5c98fp+8 - want 0x1.f5e2bb8d5c991p+8. */ -svfloat64_t SV_NAME_D1 (cosh) (svfloat64_t x, const svbool_t pg) -{ - const struct data *d = ptr_barrier (&data); - - svfloat64_t ax = svabs_x (pg, x); - svbool_t special = svcmpgt (pg, svreinterpret_u64 (ax), d->special_bound); - - /* Up to the point that exp overflows, we can use it to calculate cosh by - exp(|x|) / 2 + 1 / (2 * exp(|x|)). */ - svfloat64_t t = exp_inline (ax, pg, d); - svfloat64_t half_t = svmul_x (pg, t, 0.5); - svfloat64_t half_over_t = svdivr_x (pg, t, 0.5); - - /* Fall back to scalar for any special cases. */ - if (unlikely (svptest_any (pg, special))) - return special_case (x, svadd_x (pg, half_t, half_over_t), special); - - return svadd_x (pg, half_t, half_over_t); -} - -PL_SIG (SV, D, 1, cosh, -10.0, 10.0) -PL_TEST_ULP (SV_NAME_D1 (cosh), 1.43) -PL_TEST_SYM_INTERVAL (SV_NAME_D1 (cosh), 0, 0x1.6p9, 100000) -PL_TEST_SYM_INTERVAL (SV_NAME_D1 (cosh), 0x1.6p9, inf, 1000) |
