diff options
Diffstat (limited to 'math/aarch64/advsimd/log10f.c')
-rw-r--r-- | math/aarch64/advsimd/log10f.c | 106 |
1 files changed, 106 insertions, 0 deletions
diff --git a/math/aarch64/advsimd/log10f.c b/math/aarch64/advsimd/log10f.c new file mode 100644 index 000000000000..907c1051e086 --- /dev/null +++ b/math/aarch64/advsimd/log10f.c @@ -0,0 +1,106 @@ +/* + * Single-precision vector log10 function. + * + * Copyright (c) 2020-2024, Arm Limited. + * SPDX-License-Identifier: MIT OR Apache-2.0 WITH LLVM-exception + */ + +#include "v_math.h" +#include "test_sig.h" +#include "test_defs.h" + +static const struct data +{ + float32x4_t c0, c2, c4, c6, inv_ln10, ln2; + uint32x4_t off, offset_lower_bound; + uint16x8_t special_bound; + uint32x4_t mantissa_mask; + float c1, c3, c5, c7; +} data = { + /* Use order 9 for log10(1+x), i.e. order 8 for log10(1+x)/x, with x in + [-1/3, 1/3] (offset=2/3). Max. relative error: 0x1.068ee468p-25. */ + .c0 = V4 (-0x1.bcb79cp-3f), + .c1 = 0x1.2879c8p-3f, + .c2 = V4 (-0x1.bcd472p-4f), + .c3 = 0x1.6408f8p-4f, + .c4 = V4 (-0x1.246f8p-4f), + .c5 = 0x1.f0e514p-5f, + .c6 = V4 (-0x1.0fc92cp-4f), + .c7 = 0x1.f5f76ap-5f, + .ln2 = V4 (0x1.62e43p-1f), + .inv_ln10 = V4 (0x1.bcb7b2p-2f), + /* 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 y, uint32x4_t u_off, float32x4_t p, float32x4_t r2, + uint16x4_t cmp, const struct data *d) +{ + /* Fall back to scalar code. */ + return v_call_f32 (log10f, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)), + vfmaq_f32 (y, p, r2), vmovl_u16 (cmp)); +} + +/* Fast implementation of AdvSIMD log10f, + uses a similar approach as AdvSIMD logf with the same offset (i.e., 2/3) and + an order 9 polynomial. + Maximum error: 3.305ulps (nearest rounding.) + _ZGVnN4v_log10f(0x1.555c16p+0) got 0x1.ffe2fap-4 + want 0x1.ffe2f4p-4. */ +float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log10) (float32x4_t x) +{ + const struct data *d = ptr_barrier (&data); + float32x4_t c1357 = 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 = vreinterpretq_u32_f32 (x); + + /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */ + u_off = vsubq_u32 (u_off, d->off); + float32x4_t n = vcvtq_f32_s32 ( + vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */ + + uint16x4_t special = 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 = log10(1+r) + n * log10(2). */ + float32x4_t r2 = vmulq_f32 (r, r); + + float32x4_t c01 = vfmaq_laneq_f32 (d->c0, r, c1357, 0); + float32x4_t c23 = vfmaq_laneq_f32 (d->c2, r, c1357, 1); + float32x4_t c45 = vfmaq_laneq_f32 (d->c4, r, c1357, 2); + float32x4_t c67 = vfmaq_laneq_f32 (d->c6, r, c1357, 3); + + float32x4_t p47 = vfmaq_f32 (c45, r2, c67); + float32x4_t p27 = vfmaq_f32 (c23, r2, p47); + float32x4_t poly = vfmaq_f32 (c01, r2, p27); + + /* y = Log10(2) * n + poly * InvLn(10). */ + float32x4_t y = vfmaq_f32 (r, d->ln2, n); + y = vmulq_f32 (y, d->inv_ln10); + + if (unlikely (v_any_u16h (special))) + return special_case (y, u_off, poly, r2, special, d); + return vfmaq_f32 (y, poly, r2); +} + +HALF_WIDTH_ALIAS_F1 (log10) + +TEST_SIG (V, F, 1, log10, 0.01, 11.1) +TEST_ULP (V_NAME_F1 (log10), 2.81) +TEST_INTERVAL (V_NAME_F1 (log10), -0.0, -inf, 100) +TEST_INTERVAL (V_NAME_F1 (log10), 0, 0x1p-126, 100) +TEST_INTERVAL (V_NAME_F1 (log10), 0x1p-126, 0x1p-23, 50000) +TEST_INTERVAL (V_NAME_F1 (log10), 0x1p-23, 1.0, 50000) +TEST_INTERVAL (V_NAME_F1 (log10), 1.0, 100, 50000) +TEST_INTERVAL (V_NAME_F1 (log10), 100, inf, 50000) |