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-rw-r--r--math/aarch64/advsimd/log10f.c106
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
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+++ b/math/aarch64/advsimd/log10f.c
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+/*
+ * 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)