1*412f47f9SXin Li /*
2*412f47f9SXin Li * Double-precision vector sincos function - return-by-value interface.
3*412f47f9SXin Li *
4*412f47f9SXin Li * Copyright (c) 2023, Arm Limited.
5*412f47f9SXin Li * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception
6*412f47f9SXin Li */
7*412f47f9SXin Li
8*412f47f9SXin Li #include "v_sincos_common.h"
9*412f47f9SXin Li #include "v_math.h"
10*412f47f9SXin Li #include "pl_test.h"
11*412f47f9SXin Li
12*412f47f9SXin Li static float64x2x2_t VPCS_ATTR NOINLINE
special_case(float64x2_t x,uint64x2_t special,float64x2x2_t y)13*412f47f9SXin Li special_case (float64x2_t x, uint64x2_t special, float64x2x2_t y)
14*412f47f9SXin Li {
15*412f47f9SXin Li return (float64x2x2_t){ v_call_f64 (sin, x, y.val[0], special),
16*412f47f9SXin Li v_call_f64 (cos, x, y.val[1], special) };
17*412f47f9SXin Li }
18*412f47f9SXin Li
19*412f47f9SXin Li /* Double-precision vector function allowing calculation of both sin and cos in
20*412f47f9SXin Li one function call, using shared argument reduction and separate polynomials.
21*412f47f9SXin Li Largest observed error is for sin, 3.22 ULP:
22*412f47f9SXin Li v_sincos_sin (0x1.d70eef40f39b1p+12) got -0x1.ffe9537d5dbb7p-3
23*412f47f9SXin Li want -0x1.ffe9537d5dbb4p-3. */
24*412f47f9SXin Li VPCS_ATTR float64x2x2_t
_ZGVnN2v_cexpi(float64x2_t x)25*412f47f9SXin Li _ZGVnN2v_cexpi (float64x2_t x)
26*412f47f9SXin Li {
27*412f47f9SXin Li const struct v_sincos_data *d = ptr_barrier (&v_sincos_data);
28*412f47f9SXin Li uint64x2_t special = check_ge_rangeval (x, d);
29*412f47f9SXin Li
30*412f47f9SXin Li float64x2x2_t sc = v_sincos_inline (x, d);
31*412f47f9SXin Li
32*412f47f9SXin Li if (unlikely (v_any_u64 (special)))
33*412f47f9SXin Li return special_case (x, special, sc);
34*412f47f9SXin Li return sc;
35*412f47f9SXin Li }
36*412f47f9SXin Li
37*412f47f9SXin Li PL_TEST_ULP (_ZGVnN2v_cexpi_sin, 2.73)
38*412f47f9SXin Li PL_TEST_ULP (_ZGVnN2v_cexpi_cos, 2.73)
39*412f47f9SXin Li #define V_CEXPI_INTERVAL(lo, hi, n) \
40*412f47f9SXin Li PL_TEST_INTERVAL (_ZGVnN2v_cexpi_sin, lo, hi, n) \
41*412f47f9SXin Li PL_TEST_INTERVAL (_ZGVnN2v_cexpi_cos, lo, hi, n)
42*412f47f9SXin Li V_CEXPI_INTERVAL (0, 0x1p23, 500000)
43*412f47f9SXin Li V_CEXPI_INTERVAL (-0, -0x1p23, 500000)
44*412f47f9SXin Li V_CEXPI_INTERVAL (0x1p23, inf, 10000)
45*412f47f9SXin Li V_CEXPI_INTERVAL (-0x1p23, -inf, 10000)
46