diff options
Diffstat (limited to 'math/aarch64/advsimd/logf.c')
| -rw-r--r-- | math/aarch64/advsimd/logf.c | 88 |
1 files changed, 88 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/logf.c b/math/aarch64/advsimd/logf.c new file mode 100644 index 000000000000..84705fad05ee --- /dev/null +++ b/math/aarch64/advsimd/logf.c @@ -0,0 +1,88 @@ +/* + * Single-precision vector log 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" +#include "test_sig.h" + +static const struct data +{ + float32x4_t c2, c4, c6, ln2; + uint32x4_t off, offset_lower_bound, mantissa_mask; + uint16x8_t special_bound; + float c1, c3, c5, c0; +} data = { + /* 3.34 ulp error. */ + .c0 = -0x1.3e737cp-3f, + .c1 = 0x1.5a9aa2p-3f, + .c2 = V4 (-0x1.4f9934p-3f), + .c3 = 0x1.961348p-3f, + .c4 = V4 (-0x1.00187cp-2f), + .c5 = 0x1.555d7cp-2f, + .c6 = V4 (-0x1.ffffc8p-2f), + .ln2 = V4 (0x1.62e43p-1f), + /* Lower bound is the smallest positive normal float 0x00800000. For + optimised register use subnormals are detected after offset has been + subtracted, so lower bound is 0x0080000 - offset (which wraps around). */ + .offset_lower_bound = V4 (0x00800000 - 0x3f2aaaab), + .special_bound = V8 (0x7f00), /* top16(asuint32(inf) - 0x00800000). */ + .off = V4 (0x3f2aaaab), /* 0.666667. */ + .mantissa_mask = V4 (0x007fffff) +}; + +static float32x4_t VPCS_ATTR NOINLINE +special_case (float32x4_t p, uint32x4_t u_off, float32x4_t y, float32x4_t r2, + uint16x4_t cmp, const struct data *d) +{ + /* Fall back to scalar code. */ + return v_call_f32 (logf, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)), + vfmaq_f32 (p, y, r2), vmovl_u16 (cmp)); +} + +float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + float32x4_t c1350 = vld1q_f32 (&d->c1); + + /* To avoid having to mov x out of the way, keep u after offset has been + applied, and recover x by adding the offset back in the special-case + handler. */ + uint32x4_t u_off = vsubq_u32 (vreinterpretq_u32_f32 (x), d->off); + + /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */ + float32x4_t n = vcvtq_f32_s32 ( + vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */ + uint16x4_t cmp = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound), + vget_low_u16 (d->special_bound)); + + uint32x4_t u = vaddq_u32 (vandq_u32 (u_off, d->mantissa_mask), d->off); + float32x4_t r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f)); + + /* y = log(1+r) + n*ln2. */ + float32x4_t r2 = vmulq_f32 (r, r); + /* n*ln2 + r + r2*(P1 + r*P2 + r2*(P3 + r*P4 + r2*(P5 + r*P6 + r2*P7))). */ + float32x4_t p = vfmaq_laneq_f32 (d->c2, r, c1350, 0); + float32x4_t q = vfmaq_laneq_f32 (d->c4, r, c1350, 1); + float32x4_t y = vfmaq_laneq_f32 (d->c6, r, c1350, 2); + p = vfmaq_laneq_f32 (p, r2, c1350, 3); + + q = vfmaq_f32 (q, p, r2); + y = vfmaq_f32 (y, q, r2); + p = vfmaq_f32 (r, d->ln2, n); + + if (unlikely (v_any_u16h (cmp))) + return special_case (p, u_off, y, r2, cmp, d); + return vfmaq_f32 (p, y, r2); +} + +HALF_WIDTH_ALIAS_F1 (log) + +TEST_SIG (V, F, 1, log, 0.01, 11.1) +TEST_ULP (V_NAME_F1 (log), 2.9) +TEST_DISABLE_FENV_IF_NOT (V_NAME_F1 (log), WANT_SIMD_EXCEPT) +TEST_INTERVAL (V_NAME_F1 (log), 0, 0xffff0000, 10000) +TEST_INTERVAL (V_NAME_F1 (log), 0x1p-4, 0x1p4, 500000) +TEST_INTERVAL (V_NAME_F1 (log), 0, inf, 50000) |
