269 lines
11 KiB
Diff
269 lines
11 KiB
Diff
commit 80df456112d67e27660563b9540cbc1bb5475c84
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Author: Joe Ramsay <Joe.Ramsay@arm.com>
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Date: Mon Sep 9 13:00:01 2024 +0100
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aarch64: Avoid redundant MOVs in AdvSIMD F32 logs
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Since the last operation is destructive, the first argument to the FMA
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also has to be the first argument to the special-case in order to
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avoid unnecessary MOVs. Reorder arguments and adjust special-case
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bounds to facilitate this.
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Reviewed-by: Wilco Dijkstra <Wilco.Dijkstra@arm.com>
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(cherry picked from commit 8b09af572b208bfde4d31c6abbae047dcc217675)
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diff --git a/sysdeps/aarch64/fpu/log10f_advsimd.c b/sysdeps/aarch64/fpu/log10f_advsimd.c
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index 9347422a771e3d4e..82228b599a5c061b 100644
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--- a/sysdeps/aarch64/fpu/log10f_advsimd.c
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+++ b/sysdeps/aarch64/fpu/log10f_advsimd.c
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@@ -22,11 +22,11 @@
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static const struct data
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{
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- uint32x4_t min_norm;
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+ uint32x4_t off, offset_lower_bound;
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uint16x8_t special_bound;
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+ uint32x4_t mantissa_mask;
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float32x4_t poly[8];
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float32x4_t inv_ln10, ln2;
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- uint32x4_t off, mantissa_mask;
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} data = {
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/* Use order 9 for log10(1+x), i.e. order 8 for log10(1+x)/x, with x in
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[-1/3, 1/3] (offset=2/3). Max. relative error: 0x1.068ee468p-25. */
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@@ -35,18 +35,22 @@ static const struct data
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V4 (-0x1.0fc92cp-4f), V4 (0x1.f5f76ap-5f) },
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.ln2 = V4 (0x1.62e43p-1f),
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.inv_ln10 = V4 (0x1.bcb7b2p-2f),
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- .min_norm = V4 (0x00800000),
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- .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm. */
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+ /* Lower bound is the smallest positive normal float 0x00800000. For
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+ optimised register use subnormals are detected after offset has been
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+ subtracted, so lower bound is 0x0080000 - offset (which wraps around). */
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+ .offset_lower_bound = V4 (0x00800000 - 0x3f2aaaab),
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+ .special_bound = V8 (0x7f00), /* top16(asuint32(inf) - 0x00800000). */
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.off = V4 (0x3f2aaaab), /* 0.666667. */
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.mantissa_mask = V4 (0x007fffff),
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};
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static float32x4_t VPCS_ATTR NOINLINE
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-special_case (float32x4_t x, float32x4_t y, float32x4_t p, float32x4_t r2,
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- uint16x4_t cmp)
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+special_case (float32x4_t y, uint32x4_t u_off, float32x4_t p, float32x4_t r2,
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+ uint16x4_t cmp, const struct data *d)
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{
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/* Fall back to scalar code. */
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- return v_call_f32 (log10f, x, vfmaq_f32 (y, p, r2), vmovl_u16 (cmp));
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+ return v_call_f32 (log10f, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)),
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+ vfmaq_f32 (y, p, r2), vmovl_u16 (cmp));
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}
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/* Fast implementation of AdvSIMD log10f,
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@@ -58,15 +62,21 @@ special_case (float32x4_t x, float32x4_t y, float32x4_t p, float32x4_t r2,
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float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log10) (float32x4_t x)
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{
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const struct data *d = ptr_barrier (&data);
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- uint32x4_t u = vreinterpretq_u32_f32 (x);
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- uint16x4_t special = vcge_u16 (vsubhn_u32 (u, d->min_norm),
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- vget_low_u16 (d->special_bound));
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+
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+ /* To avoid having to mov x out of the way, keep u after offset has been
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+ applied, and recover x by adding the offset back in the special-case
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+ handler. */
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+ uint32x4_t u_off = vreinterpretq_u32_f32 (x);
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/* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */
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- u = vsubq_u32 (u, d->off);
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+ u_off = vsubq_u32 (u_off, d->off);
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float32x4_t n = vcvtq_f32_s32 (
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- vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend. */
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- u = vaddq_u32 (vandq_u32 (u, d->mantissa_mask), d->off);
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+ vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */
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+
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+ uint16x4_t special = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound),
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+ vget_low_u16 (d->special_bound));
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+
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+ uint32x4_t u = vaddq_u32 (vandq_u32 (u_off, d->mantissa_mask), d->off);
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float32x4_t r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f));
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/* y = log10(1+r) + n * log10(2). */
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@@ -77,7 +87,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log10) (float32x4_t x)
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y = vmulq_f32 (y, d->inv_ln10);
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if (__glibc_unlikely (v_any_u16h (special)))
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- return special_case (x, y, poly, r2, special);
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+ return special_case (y, u_off, poly, r2, special, d);
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return vfmaq_f32 (y, poly, r2);
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}
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libmvec_hidden_def (V_NAME_F1 (log10))
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diff --git a/sysdeps/aarch64/fpu/log2f_advsimd.c b/sysdeps/aarch64/fpu/log2f_advsimd.c
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index db218367495dc567..84effe4fe9492d08 100644
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--- a/sysdeps/aarch64/fpu/log2f_advsimd.c
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+++ b/sysdeps/aarch64/fpu/log2f_advsimd.c
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@@ -22,9 +22,9 @@
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static const struct data
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{
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- uint32x4_t min_norm;
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+ uint32x4_t off, offset_lower_bound;
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uint16x8_t special_bound;
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- uint32x4_t off, mantissa_mask;
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+ uint32x4_t mantissa_mask;
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float32x4_t poly[9];
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} data = {
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/* Coefficients generated using Remez algorithm approximate
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@@ -34,18 +34,22 @@ static const struct data
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V4 (-0x1.715458p-1f), V4 (0x1.ec701cp-2f), V4 (-0x1.7171a4p-2f),
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V4 (0x1.27a0b8p-2f), V4 (-0x1.e5143ep-3f), V4 (0x1.9d8ecap-3f),
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V4 (-0x1.c675bp-3f), V4 (0x1.9e495p-3f) },
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- .min_norm = V4 (0x00800000),
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- .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm. */
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+ /* Lower bound is the smallest positive normal float 0x00800000. For
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+ optimised register use subnormals are detected after offset has been
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+ subtracted, so lower bound is 0x0080000 - offset (which wraps around). */
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+ .offset_lower_bound = V4 (0x00800000 - 0x3f2aaaab),
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+ .special_bound = V8 (0x7f00), /* top16(asuint32(inf) - 0x00800000). */
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.off = V4 (0x3f2aaaab), /* 0.666667. */
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.mantissa_mask = V4 (0x007fffff),
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};
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static float32x4_t VPCS_ATTR NOINLINE
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-special_case (float32x4_t x, float32x4_t n, float32x4_t p, float32x4_t r,
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- uint16x4_t cmp)
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+special_case (float32x4_t n, uint32x4_t u_off, float32x4_t p, float32x4_t r,
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+ uint16x4_t cmp, const struct data *d)
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{
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/* Fall back to scalar code. */
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- return v_call_f32 (log2f, x, vfmaq_f32 (n, p, r), vmovl_u16 (cmp));
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+ return v_call_f32 (log2f, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)),
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+ vfmaq_f32 (n, p, r), vmovl_u16 (cmp));
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}
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/* Fast implementation for single precision AdvSIMD log2,
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@@ -56,15 +60,21 @@ special_case (float32x4_t x, float32x4_t n, float32x4_t p, float32x4_t r,
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float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log2) (float32x4_t x)
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{
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const struct data *d = ptr_barrier (&data);
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- uint32x4_t u = vreinterpretq_u32_f32 (x);
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- uint16x4_t special = vcge_u16 (vsubhn_u32 (u, d->min_norm),
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- vget_low_u16 (d->special_bound));
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+
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+ /* To avoid having to mov x out of the way, keep u after offset has been
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+ applied, and recover x by adding the offset back in the special-case
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+ handler. */
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+ uint32x4_t u_off = vreinterpretq_u32_f32 (x);
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/* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */
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- u = vsubq_u32 (u, d->off);
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+ u_off = vsubq_u32 (u_off, d->off);
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float32x4_t n = vcvtq_f32_s32 (
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- vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend. */
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- u = vaddq_u32 (vandq_u32 (u, d->mantissa_mask), d->off);
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+ vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */
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+
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+ uint16x4_t special = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound),
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+ vget_low_u16 (d->special_bound));
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+
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+ uint32x4_t u = vaddq_u32 (vandq_u32 (u_off, d->mantissa_mask), d->off);
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float32x4_t r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f));
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/* y = log2(1+r) + n. */
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@@ -72,7 +82,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log2) (float32x4_t x)
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float32x4_t p = v_pw_horner_8_f32 (r, r2, d->poly);
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if (__glibc_unlikely (v_any_u16h (special)))
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- return special_case (x, n, p, r, special);
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+ return special_case (n, u_off, p, r, special, d);
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return vfmaq_f32 (n, p, r);
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}
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libmvec_hidden_def (V_NAME_F1 (log2))
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diff --git a/sysdeps/aarch64/fpu/logf_advsimd.c b/sysdeps/aarch64/fpu/logf_advsimd.c
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index 3c0d0fcdc76f1004..c20dbfd6c088c0af 100644
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--- a/sysdeps/aarch64/fpu/logf_advsimd.c
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+++ b/sysdeps/aarch64/fpu/logf_advsimd.c
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@@ -21,20 +21,22 @@
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static const struct data
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{
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- uint32x4_t min_norm;
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+ uint32x4_t off, offset_lower_bound;
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uint16x8_t special_bound;
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+ uint32x4_t mantissa_mask;
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float32x4_t poly[7];
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- float32x4_t ln2, tiny_bound;
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- uint32x4_t off, mantissa_mask;
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+ float32x4_t ln2;
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} data = {
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/* 3.34 ulp error. */
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.poly = { V4 (-0x1.3e737cp-3f), V4 (0x1.5a9aa2p-3f), V4 (-0x1.4f9934p-3f),
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V4 (0x1.961348p-3f), V4 (-0x1.00187cp-2f), V4 (0x1.555d7cp-2f),
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V4 (-0x1.ffffc8p-2f) },
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.ln2 = V4 (0x1.62e43p-1f),
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- .tiny_bound = V4 (0x1p-126),
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- .min_norm = V4 (0x00800000),
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- .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm. */
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+ /* Lower bound is the smallest positive normal float 0x00800000. For
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+ optimised register use subnormals are detected after offset has been
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+ subtracted, so lower bound is 0x0080000 - offset (which wraps around). */
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+ .offset_lower_bound = V4 (0x00800000 - 0x3f2aaaab),
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+ .special_bound = V8 (0x7f00), /* top16(asuint32(inf) - 0x00800000). */
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.off = V4 (0x3f2aaaab), /* 0.666667. */
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.mantissa_mask = V4 (0x007fffff)
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};
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@@ -42,32 +44,37 @@ static const struct data
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#define P(i) d->poly[7 - i]
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static float32x4_t VPCS_ATTR NOINLINE
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-special_case (float32x4_t x, float32x4_t y, float32x4_t r2, float32x4_t p,
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- uint16x4_t cmp)
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+special_case (float32x4_t p, uint32x4_t u_off, float32x4_t y, float32x4_t r2,
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+ uint16x4_t cmp, const struct data *d)
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{
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/* Fall back to scalar code. */
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- return v_call_f32 (logf, x, vfmaq_f32 (p, y, r2), vmovl_u16 (cmp));
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+ return v_call_f32 (logf, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)),
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+ vfmaq_f32 (p, y, r2), vmovl_u16 (cmp));
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}
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float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log) (float32x4_t x)
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{
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const struct data *d = ptr_barrier (&data);
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float32x4_t n, p, q, r, r2, y;
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- uint32x4_t u;
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+ uint32x4_t u, u_off;
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uint16x4_t cmp;
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- u = vreinterpretq_u32_f32 (x);
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- cmp = vcge_u16 (vsubhn_u32 (u, d->min_norm),
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- vget_low_u16 (d->special_bound));
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+ /* To avoid having to mov x out of the way, keep u after offset has been
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+ applied, and recover x by adding the offset back in the special-case
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+ handler. */
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+ u_off = vreinterpretq_u32_f32 (x);
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/* x = 2^n * (1+r), where 2/3 < 1+r < 4/3. */
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- u = vsubq_u32 (u, d->off);
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+ u_off = vsubq_u32 (u_off, d->off);
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n = vcvtq_f32_s32 (
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- vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend. */
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- u = vandq_u32 (u, d->mantissa_mask);
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+ vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend. */
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+ u = vandq_u32 (u_off, d->mantissa_mask);
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u = vaddq_u32 (u, d->off);
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r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f));
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+ cmp = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound),
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+ vget_low_u16 (d->special_bound));
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+
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/* y = log(1+r) + n*ln2. */
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r2 = vmulq_f32 (r, r);
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/* n*ln2 + r + r2*(P1 + r*P2 + r2*(P3 + r*P4 + r2*(P5 + r*P6 + r2*P7))). */
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@@ -80,7 +87,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log) (float32x4_t x)
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p = vfmaq_f32 (r, d->ln2, n);
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if (__glibc_unlikely (v_any_u16h (cmp)))
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- return special_case (x, y, r2, p, cmp);
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+ return special_case (p, u_off, y, r2, cmp, d);
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return vfmaq_f32 (p, y, r2);
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}
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libmvec_hidden_def (V_NAME_F1 (log))
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