diff options
Diffstat (limited to 'math/aarch64/advsimd/exp2f_1u.c')
-rw-r--r-- | math/aarch64/advsimd/exp2f_1u.c | 73 |
1 files changed, 73 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/exp2f_1u.c b/math/aarch64/advsimd/exp2f_1u.c new file mode 100644 index 000000000000..1f8e89ab658f --- /dev/null +++ b/math/aarch64/advsimd/exp2f_1u.c @@ -0,0 +1,73 @@ +/* + * Single-precision vector 2^x function. + * + * Copyright (c) 2019-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "v_math.h" +#include "test_defs.h" + +static const struct data +{ + float32x4_t c0, c1, c2, c3, c4, c5, shift; + uint32x4_t exponent_bias; + float32x4_t special_bound, scale_thresh; + uint32x4_t special_offset, special_bias; +} data = { + .shift = V4 (0x1.8p23f), + .exponent_bias = V4 (0x3f800000), + .special_bound = V4 (126.0f), + .scale_thresh = V4 (192.0f), + .special_offset = V4 (0x82000000), + .special_bias = V4 (0x7f000000), + /* maxerr: 0.878 ulp. */ + .c0 = V4 (0x1.416b5ep-13f), + .c1 = V4 (0x1.5f082ep-10f), + .c2 = V4 (0x1.3b2dep-7f), + .c3 = V4 (0x1.c6af7cp-5f), + .c4 = V4 (0x1.ebfbdcp-3f), + .c5 = V4 (0x1.62e43p-1f), +}; + +static float32x4_t VPCS_ATTR NOINLINE +specialcase (float32x4_t p, float32x4_t n, uint32x4_t e, const struct data *d) +{ + /* 2^n may overflow, break it up into s1*s2. */ + uint32x4_t b = vandq_u32 (vclezq_f32 (n), d->special_offset); + float32x4_t s1 = vreinterpretq_f32_u32 (vaddq_u32 (b, d->special_bias)); + float32x4_t s2 = vreinterpretq_f32_u32 (vsubq_u32 (e, b)); + uint32x4_t cmp = vcagtq_f32 (n, d->scale_thresh); + float32x4_t r1 = vmulq_f32 (s1, s1); + float32x4_t r0 = vmulq_f32 (vmulq_f32 (p, s1), s2); + return vreinterpretq_f32_u32 ((cmp & vreinterpretq_u32_f32 (r1)) + | (~cmp & vreinterpretq_u32_f32 (r0))); +} + +float32x4_t VPCS_ATTR +_ZGVnN4v_exp2f_1u (float32x4_t x) +{ + /* exp2(x) = 2^n * poly(r), with poly(r) in [1/sqrt(2),sqrt(2)] + x = n + r, with r in [-1/2, 1/2]. */ + const struct data *d = ptr_barrier (&data); + float32x4_t n = vrndaq_f32 (x); + float32x4_t r = x - n; + uint32x4_t e = vreinterpretq_u32_s32 (vcvtaq_s32_f32 (x)) << 23; + float32x4_t scale = vreinterpretq_f32_u32 (e + d->exponent_bias); + uint32x4_t cmp = vcagtq_f32 (n, d->special_bound); + + float32x4_t p = vfmaq_f32 (d->c1, d->c0, r); + p = vfmaq_f32 (d->c2, p, r); + p = vfmaq_f32 (d->c3, p, r); + p = vfmaq_f32 (d->c4, p, r); + p = vfmaq_f32 (d->c5, p, r); + p = vfmaq_f32 (v_f32 (1.0f), p, r); + if (unlikely (v_any_u32 (cmp))) + return specialcase (p, n, e, d); + return scale * p; +} + +TEST_ULP (_ZGVnN4v_exp2f_1u, 0.4) +TEST_DISABLE_FENV (_ZGVnN4v_exp2f_1u) +TEST_INTERVAL (_ZGVnN4v_exp2f_1u, 0, 0xffff0000, 10000) +TEST_SYM_INTERVAL (_ZGVnN4v_exp2f_1u, 0x1p-14, 0x1p8, 500000) |