diff options
Diffstat (limited to 'pl/math/v_cosh_2u.c')
| -rw-r--r-- | pl/math/v_cosh_2u.c | 104 |
1 files changed, 0 insertions, 104 deletions
diff --git a/pl/math/v_cosh_2u.c b/pl/math/v_cosh_2u.c deleted file mode 100644 index 649c390f4622..000000000000 --- a/pl/math/v_cosh_2u.c +++ /dev/null @@ -1,104 +0,0 @@ -/* - * Double-precision vector cosh(x) function. - * - * Copyright (c) 2022-2023, Arm Limited. - * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception - */ - -#include "v_math.h" -#include "pl_sig.h" -#include "pl_test.h" - -static const struct data -{ - float64x2_t poly[3]; - float64x2_t inv_ln2, ln2, shift, thres; - uint64x2_t index_mask, special_bound; -} data = { - .poly = { V2 (0x1.fffffffffffd4p-2), V2 (0x1.5555571d6b68cp-3), - V2 (0x1.5555576a59599p-5), }, - - .inv_ln2 = V2 (0x1.71547652b82fep8), /* N/ln2. */ - /* -ln2/N. */ - .ln2 = {-0x1.62e42fefa39efp-9, -0x1.abc9e3b39803f3p-64}, - .shift = V2 (0x1.8p+52), - .thres = V2 (704.0), - - .index_mask = V2 (0xff), - /* 0x1.6p9, above which exp overflows. */ - .special_bound = V2 (0x4086000000000000), -}; - -static float64x2_t NOINLINE VPCS_ATTR -special_case (float64x2_t x, float64x2_t y, uint64x2_t special) -{ - return v_call_f64 (cosh, x, y, special); -} - -/* Helper for approximating exp(x). Copied from v_exp_tail, with no - special-case handling or tail. */ -static inline float64x2_t -exp_inline (float64x2_t x) -{ - const struct data *d = ptr_barrier (&data); - - /* n = round(x/(ln2/N)). */ - float64x2_t z = vfmaq_f64 (d->shift, x, d->inv_ln2); - uint64x2_t u = vreinterpretq_u64_f64 (z); - float64x2_t n = vsubq_f64 (z, d->shift); - - /* r = x - n*ln2/N. */ - float64x2_t r = vfmaq_laneq_f64 (x, n, d->ln2, 0); - r = vfmaq_laneq_f64 (r, n, d->ln2, 1); - - uint64x2_t e = vshlq_n_u64 (u, 52 - V_EXP_TAIL_TABLE_BITS); - uint64x2_t i = vandq_u64 (u, d->index_mask); - - /* y = tail + exp(r) - 1 ~= r + C1 r^2 + C2 r^3 + C3 r^4. */ - float64x2_t y = vfmaq_f64 (d->poly[1], d->poly[2], r); - y = vfmaq_f64 (d->poly[0], y, r); - y = vmulq_f64 (vfmaq_f64 (v_f64 (1), y, r), r); - - /* s = 2^(n/N). */ - u = v_lookup_u64 (__v_exp_tail_data, i); - float64x2_t s = vreinterpretq_f64_u64 (vaddq_u64 (u, e)); - - return vfmaq_f64 (s, y, s); -} - -/* Approximation for vector 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: - _ZGVnN2v_cosh (0x1.628af341989dap+9) got 0x1.fdf28623ef921p+1021 - want 0x1.fdf28623ef923p+1021. - - The greatest observed error in the non-special region is 1.54 ULP: - _ZGVnN2v_cosh (0x1.8e205b6ecacf7p+2) got 0x1.f711dcb0c77afp+7 - want 0x1.f711dcb0c77b1p+7. */ -float64x2_t VPCS_ATTR V_NAME_D1 (cosh) (float64x2_t x) -{ - const struct data *d = ptr_barrier (&data); - - float64x2_t ax = vabsq_f64 (x); - uint64x2_t special - = vcgtq_u64 (vreinterpretq_u64_f64 (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|)). */ - float64x2_t t = exp_inline (ax); - float64x2_t half_t = vmulq_n_f64 (t, 0.5); - float64x2_t half_over_t = vdivq_f64 (v_f64 (0.5), t); - - /* Fall back to scalar for any special cases. */ - if (unlikely (v_any_u64 (special))) - return special_case (x, vaddq_f64 (half_t, half_over_t), special); - - return vaddq_f64 (half_t, half_over_t); -} - -PL_SIG (V, D, 1, cosh, -10.0, 10.0) -PL_TEST_ULP (V_NAME_D1 (cosh), 1.43) -PL_TEST_EXPECT_FENV_ALWAYS (V_NAME_D1 (cosh)) -PL_TEST_SYM_INTERVAL (V_NAME_D1 (cosh), 0, 0x1.6p9, 100000) -PL_TEST_SYM_INTERVAL (V_NAME_D1 (cosh), 0x1.6p9, inf, 1000) |
