aarch64: Avoid redundant MOVs in AdvSIMD F32 logs

Since the last operation is destructive, the first argument to the FMA
also has to be the first argument to the special-case in order to
avoid unnecessary MOVs. Reorder arguments and adjust special-case
bounds to facilitate this.

Reviewed-by: Wilco Dijkstra  <Wilco.Dijkstra@arm.com>

diff --git a/sysdeps/aarch64/fpu/log10f_advsimd.c b/sysdeps/aarch64/fpu/log10f_advsimd.c
index 9347422a771e3d4e4df0dee260c66da9eecaec23..82228b599a5c061b7ee3ecc1904cc61d05740e9d 100644 (file)
--- a/sysdeps/aarch64/fpu/log10f_advsimd.c
+++ b/sysdeps/aarch64/fpu/log10f_advsimd.c
@@ -22,11 +22,11 @@
 
 static const struct data
 {
-  uint32x4_t min_norm;
+  uint32x4_t off, offset_lower_bound;
   uint16x8_t special_bound;
+  uint32x4_t mantissa_mask;
   float32x4_t poly[8];
   float32x4_t inv_ln10, ln2;
-  uint32x4_t off, mantissa_mask;
 } 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.  */
@@ -35,18 +35,22 @@ static const struct data
            V4 (-0x1.0fc92cp-4f), V4 (0x1.f5f76ap-5f) },
   .ln2 = V4 (0x1.62e43p-1f),
   .inv_ln10 = V4 (0x1.bcb7b2p-2f),
-  .min_norm = V4 (0x00800000),
-  .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm.  */
+  /* 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 x, float32x4_t y, float32x4_t p, float32x4_t r2,
-             uint16x4_t cmp)
+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, x, vfmaq_f32 (y, p, r2), vmovl_u16 (cmp));
+  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,
@@ -58,15 +62,21 @@ special_case (float32x4_t x, float32x4_t y, float32x4_t p, float32x4_t r2,
 float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log10) (float32x4_t x)
 {
   const struct data *d = ptr_barrier (&data);
-  uint32x4_t u = vreinterpretq_u32_f32 (x);
-  uint16x4_t special = vcge_u16 (vsubhn_u32 (u, d->min_norm),
-                                vget_low_u16 (d->special_bound));
+
+  /* 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 = vsubq_u32 (u, d->off);
+  u_off = vsubq_u32 (u_off, d->off);
   float32x4_t n = vcvtq_f32_s32 (
-      vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend.  */
-  u = vaddq_u32 (vandq_u32 (u, d->mantissa_mask), d->off);
+      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).  */
@@ -77,7 +87,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log10) (float32x4_t x)
   y = vmulq_f32 (y, d->inv_ln10);
 
   if (__glibc_unlikely (v_any_u16h (special)))
-    return special_case (x, y, poly, r2, special);
+    return special_case (y, u_off, poly, r2, special, d);
   return vfmaq_f32 (y, poly, r2);
 }
 libmvec_hidden_def (V_NAME_F1 (log10))

diff --git a/sysdeps/aarch64/fpu/log2f_advsimd.c b/sysdeps/aarch64/fpu/log2f_advsimd.c
index db218367495dc5670c7c6c072fc300d52be014e1..84effe4fe9492d08f5ec974892caa43d95129cd8 100644 (file)
--- a/sysdeps/aarch64/fpu/log2f_advsimd.c
+++ b/sysdeps/aarch64/fpu/log2f_advsimd.c
@@ -22,9 +22,9 @@
 
 static const struct data
 {
-  uint32x4_t min_norm;
+  uint32x4_t off, offset_lower_bound;
   uint16x8_t special_bound;
-  uint32x4_t off, mantissa_mask;
+  uint32x4_t mantissa_mask;
   float32x4_t poly[9];
 } data = {
   /* Coefficients generated using Remez algorithm approximate
@@ -34,18 +34,22 @@ static const struct data
            V4 (-0x1.715458p-1f), V4 (0x1.ec701cp-2f), V4 (-0x1.7171a4p-2f),
            V4 (0x1.27a0b8p-2f), V4 (-0x1.e5143ep-3f), V4 (0x1.9d8ecap-3f),
            V4 (-0x1.c675bp-3f), V4 (0x1.9e495p-3f) },
-  .min_norm = V4 (0x00800000),
-  .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm.  */
+  /* 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 x, float32x4_t n, float32x4_t p, float32x4_t r,
-             uint16x4_t cmp)
+special_case (float32x4_t n, uint32x4_t u_off, float32x4_t p, float32x4_t r,
+             uint16x4_t cmp, const struct data *d)
 {
   /* Fall back to scalar code.  */
-  return v_call_f32 (log2f, x, vfmaq_f32 (n, p, r), vmovl_u16 (cmp));
+  return v_call_f32 (log2f, vreinterpretq_f32_u32 (vaddq_u32 (u_off, d->off)),
+                    vfmaq_f32 (n, p, r), vmovl_u16 (cmp));
 }
 
 /* Fast implementation for single precision AdvSIMD log2,
@@ -56,15 +60,21 @@ special_case (float32x4_t x, float32x4_t n, float32x4_t p, float32x4_t r,
 float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log2) (float32x4_t x)
 {
   const struct data *d = ptr_barrier (&data);
-  uint32x4_t u = vreinterpretq_u32_f32 (x);
-  uint16x4_t special = vcge_u16 (vsubhn_u32 (u, d->min_norm),
-                                vget_low_u16 (d->special_bound));
+
+  /* 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 = vsubq_u32 (u, d->off);
+  u_off = vsubq_u32 (u_off, d->off);
   float32x4_t n = vcvtq_f32_s32 (
-      vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend.  */
-  u = vaddq_u32 (vandq_u32 (u, d->mantissa_mask), d->off);
+      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 = log2(1+r) + n.  */
@@ -72,7 +82,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log2) (float32x4_t x)
   float32x4_t p = v_pw_horner_8_f32 (r, r2, d->poly);
 
   if (__glibc_unlikely (v_any_u16h (special)))
-    return special_case (x, n, p, r, special);
+    return special_case (n, u_off, p, r, special, d);
   return vfmaq_f32 (n, p, r);
 }
 libmvec_hidden_def (V_NAME_F1 (log2))

diff --git a/sysdeps/aarch64/fpu/logf_advsimd.c b/sysdeps/aarch64/fpu/logf_advsimd.c
index 3c0d0fcdc76f1004a3295676a8f26629ed7e8d39..c20dbfd6c088c0af6a9e77f21d245c1a96647152 100644 (file)
--- a/sysdeps/aarch64/fpu/logf_advsimd.c
+++ b/sysdeps/aarch64/fpu/logf_advsimd.c
@@ -21,20 +21,22 @@
 
 static const struct data
 {
-  uint32x4_t min_norm;
+  uint32x4_t off, offset_lower_bound;
   uint16x8_t special_bound;
+  uint32x4_t mantissa_mask;
   float32x4_t poly[7];
-  float32x4_t ln2, tiny_bound;
-  uint32x4_t off, mantissa_mask;
+  float32x4_t ln2;
 } data = {
   /* 3.34 ulp error.  */
   .poly = { V4 (-0x1.3e737cp-3f), V4 (0x1.5a9aa2p-3f), V4 (-0x1.4f9934p-3f),
            V4 (0x1.961348p-3f), V4 (-0x1.00187cp-2f), V4 (0x1.555d7cp-2f),
            V4 (-0x1.ffffc8p-2f) },
   .ln2 = V4 (0x1.62e43p-1f),
-  .tiny_bound = V4 (0x1p-126),
-  .min_norm = V4 (0x00800000),
-  .special_bound = V8 (0x7f00), /* asuint32(inf) - min_norm.  */
+  /* 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)
 };
@@ -42,32 +44,37 @@ static const struct data
 #define P(i) d->poly[7 - i]
 
 static float32x4_t VPCS_ATTR NOINLINE
-special_case (float32x4_t x, float32x4_t y, float32x4_t r2, float32x4_t p,
-             uint16x4_t cmp)
+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, x, vfmaq_f32 (p, y, r2), vmovl_u16 (cmp));
+  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 n, p, q, r, r2, y;
-  uint32x4_t u;
+  uint32x4_t u, u_off;
   uint16x4_t cmp;
 
-  u = vreinterpretq_u32_f32 (x);
-  cmp = vcge_u16 (vsubhn_u32 (u, d->min_norm),
-                 vget_low_u16 (d->special_bound));
+  /* 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.  */
+  u_off = vreinterpretq_u32_f32 (x);
 
   /* x = 2^n * (1+r), where 2/3 < 1+r < 4/3.  */
-  u = vsubq_u32 (u, d->off);
+  u_off = vsubq_u32 (u_off, d->off);
   n = vcvtq_f32_s32 (
-      vshrq_n_s32 (vreinterpretq_s32_u32 (u), 23)); /* signextend.  */
-  u = vandq_u32 (u, d->mantissa_mask);
+      vshrq_n_s32 (vreinterpretq_s32_u32 (u_off), 23)); /* signextend.  */
+  u = vandq_u32 (u_off, d->mantissa_mask);
   u = vaddq_u32 (u, d->off);
   r = vsubq_f32 (vreinterpretq_f32_u32 (u), v_f32 (1.0f));
 
+  cmp = vcge_u16 (vsubhn_u32 (u_off, d->offset_lower_bound),
+                 vget_low_u16 (d->special_bound));
+
   /* y = log(1+r) + n*ln2.  */
   r2 = vmulq_f32 (r, r);
   /* n*ln2 + r + r2*(P1 + r*P2 + r2*(P3 + r*P4 + r2*(P5 + r*P6 + r2*P7))).  */
@@ -80,7 +87,7 @@ float32x4_t VPCS_ATTR NOINLINE V_NAME_F1 (log) (float32x4_t x)
   p = vfmaq_f32 (r, d->ln2, n);
 
   if (__glibc_unlikely (v_any_u16h (cmp)))
-    return special_case (x, y, r2, p, cmp);
+    return special_case (p, u_off, y, r2, cmp, d);
   return vfmaq_f32 (p, y, r2);
 }
 libmvec_hidden_def (V_NAME_F1 (log))