gcc/
        * config/aarch64/aarch64-protos.h
        (aarch64_emit_approx_rsqrt): Replace with new function
        "aarch64_emit_approx_sqrt".
        (tune_params): New member "approx_sqrt_modes".
        * config/aarch64/aarch64.c
        (generic_tunings): New member "approx_rsqrt_modes".
        (cortexa35_tunings): Likewise.
        (cortexa53_tunings): Likewise.
        (cortexa57_tunings): Likewise.
        (cortexa72_tunings): Likewise.
        (exynosm1_tunings): Likewise.
        (thunderx_tunings): Likewise.
        (xgene1_tunings): Likewise.
        (aarch64_emit_approx_rsqrt): Replace with new function
        "aarch64_emit_approx_sqrt".
        (aarch64_override_options_after_change_1): Handle new option.
        * config/aarch64/aarch64-simd.md
        (rsqrt<mode>2): Use new function instead.
        (sqrt<mode>2): New expansion and insn definitions.
        * config/aarch64/aarch64.md: Likewise.
        * config/aarch64/aarch64.opt
        (mlow-precision-sqrt): Add new option description.
        * doc/invoke.texi (mlow-precision-sqrt): Likewise.


--
Evandro Menezes

>From 753115a8691afd7aed4a510d9e9cb0a8e859acf4 Mon Sep 17 00:00:00 2001
From: Evandro Menezes <e.mene...@samsung.com>
Date: Mon, 4 Apr 2016 11:23:29 -0500
Subject: [PATCH 2/3] [AArch64] Emit square root using the Newton series

2016-04-04  Evandro Menezes  <e.mene...@samsung.com>
            Wilco Dijkstra  <wilco.dijks...@arm.com>

gcc/
	* config/aarch64/aarch64-protos.h
	(aarch64_emit_approx_rsqrt): Replace with new function
	"aarch64_emit_approx_sqrt".
	(tune_params): New member "approx_sqrt_modes".
	* config/aarch64/aarch64.c
	(generic_tunings): New member "approx_rsqrt_modes".
	(cortexa35_tunings): Likewise.
	(cortexa53_tunings): Likewise.
	(cortexa57_tunings): Likewise.
	(cortexa72_tunings): Likewise.
	(exynosm1_tunings): Likewise.
	(thunderx_tunings): Likewise.
	(xgene1_tunings): Likewise.
	(aarch64_emit_approx_rsqrt): Replace with new function
	"aarch64_emit_approx_sqrt".
	(aarch64_override_options_after_change_1): Handle new option.
	* config/aarch64/aarch64-simd.md
	(rsqrt<mode>2): Use new function instead.
	(sqrt<mode>2): New expansion and insn definitions.
	* config/aarch64/aarch64.md: Likewise.
	* config/aarch64/aarch64.opt
	(mlow-precision-sqrt): Add new option description.
	* doc/invoke.texi (mlow-precision-sqrt): Likewise.
---
 gcc/config/aarch64/aarch64-protos.h |  3 +-
 gcc/config/aarch64/aarch64-simd.md  | 13 ++++-
 gcc/config/aarch64/aarch64.c        | 99 +++++++++++++++++++++++++++----------
 gcc/config/aarch64/aarch64.md       | 11 ++++-
 gcc/config/aarch64/aarch64.opt      |  9 +++-
 gcc/doc/invoke.texi                 | 10 ++++
 6 files changed, 113 insertions(+), 32 deletions(-)

diff --git a/gcc/config/aarch64/aarch64-protos.h b/gcc/config/aarch64/aarch64-protos.h
index 50f1d24..437f6af 100644
--- a/gcc/config/aarch64/aarch64-protos.h
+++ b/gcc/config/aarch64/aarch64-protos.h
@@ -244,6 +244,7 @@ struct tune_params
   } autoprefetcher_model;
 
   unsigned int extra_tuning_flags;
+  unsigned int approx_sqrt_modes;
   unsigned int approx_rsqrt_modes;
 };
 
@@ -396,7 +397,7 @@ void aarch64_register_pragmas (void);
 void aarch64_relayout_simd_types (void);
 void aarch64_reset_previous_fndecl (void);
 void aarch64_save_restore_target_globals (tree);
-void aarch64_emit_approx_rsqrt (rtx, rtx);
+bool aarch64_emit_approx_sqrt (rtx, rtx, bool);
 
 /* Initialize builtins for SIMD intrinsics.  */
 void init_aarch64_simd_builtins (void);
diff --git a/gcc/config/aarch64/aarch64-simd.md b/gcc/config/aarch64/aarch64-simd.md
index bd73bce..47ccb18 100644
--- a/gcc/config/aarch64/aarch64-simd.md
+++ b/gcc/config/aarch64/aarch64-simd.md
@@ -405,7 +405,7 @@
 		     UNSPEC_RSQRT))]
   "TARGET_SIMD"
 {
-  aarch64_emit_approx_rsqrt (operands[0], operands[1]);
+  aarch64_emit_approx_sqrt (operands[0], operands[1], true);
   DONE;
 })
 
@@ -4307,7 +4307,16 @@
 
 ;; sqrt
 
-(define_insn "sqrt<mode>2"
+(define_expand "sqrt<mode>2"
+  [(set (match_operand:VDQF 0 "register_operand")
+	(sqrt:VDQF (match_operand:VDQF 1 "register_operand")))]
+  "TARGET_SIMD"
+{
+  if (aarch64_emit_approx_sqrt (operands[0], operands[1], false))
+    DONE;
+})
+
+(define_insn "*sqrt<mode>2"
   [(set (match_operand:VDQF 0 "register_operand" "=w")
         (sqrt:VDQF (match_operand:VDQF 1 "register_operand" "w")))]
   "TARGET_SIMD"
diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
index 68381bf..589871b 100644
--- a/gcc/config/aarch64/aarch64.c
+++ b/gcc/config/aarch64/aarch64.c
@@ -38,6 +38,7 @@
 #include "recog.h"
 #include "diagnostic.h"
 #include "insn-attr.h"
+#include "insn-flags.h"
 #include "insn-modes.h"
 #include "alias.h"
 #include "fold-const.h"
@@ -416,6 +417,7 @@ static const struct tune_params generic_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_OFF,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -442,6 +444,7 @@ static const struct tune_params cortexa35_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_WEAK,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -468,6 +471,7 @@ static const struct tune_params cortexa53_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_WEAK,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -494,6 +498,7 @@ static const struct tune_params cortexa57_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_WEAK,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -520,6 +525,7 @@ static const struct tune_params cortexa72_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_OFF,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -545,6 +551,7 @@ static const struct tune_params exynosm1_tunings =
   64,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_WEAK, /* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE), /* tune_flags.  */
+  (AARCH64_APPROX_ALL), /* approx_sqrt_modes.  */
   (AARCH64_APPROX_ALL) /* approx_rsqrt_modes.  */
 };
 
@@ -570,6 +577,7 @@ static const struct tune_params thunderx_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_OFF,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_NONE)	/* approx_rsqrt_modes.  */
 };
 
@@ -595,6 +603,7 @@ static const struct tune_params xgene1_tunings =
   0,	/* cache_line_size.  */
   tune_params::AUTOPREFETCHER_OFF,	/* autoprefetcher_model.  */
   (AARCH64_EXTRA_TUNE_NONE),	/* tune_flags.  */
+  (AARCH64_APPROX_NONE),	/* approx_sqrt_modes.  */
   (AARCH64_APPROX_ALL)	/* approx_rsqrt_modes.  */
 };
 
@@ -7521,46 +7530,78 @@ get_rsqrts_type (machine_mode mode)
   }
 }
 
-/* Emit instruction sequence to compute the reciprocal square root using the
-   Newton-Raphson series.  Iterate over the series twice for SF
-   and thrice for DF.  */
+/* Emit instruction sequence to compute either the approximate square root
+   or its approximate reciprocal.  */
 
-void
-aarch64_emit_approx_rsqrt (rtx dst, rtx src)
+bool
+aarch64_emit_approx_sqrt (rtx dst, rtx src, bool recp)
 {
-  machine_mode mode = GET_MODE (src);
-  gcc_assert (
-    mode == SFmode || mode == V2SFmode || mode == V4SFmode
-	|| mode == DFmode || mode == V2DFmode);
-
-  rtx xsrc = gen_reg_rtx (mode);
-  emit_move_insn (xsrc, src);
-  rtx x0 = gen_reg_rtx (mode);
+  machine_mode mode = GET_MODE (dst);
+  machine_mode mmsk = mode_for_vector (int_mode_for_mode (GET_MODE_INNER (mode)),
+				       GET_MODE_NUNITS (mode));
+
+  if (!flag_finite_math_only
+      || flag_trapping_math
+      || !flag_unsafe_math_optimizations
+      || optimize_function_for_size_p (cfun)
+      || !((recp && (flag_mrecip_low_precision_sqrt
+		     || (aarch64_tune_params.approx_rsqrt_modes
+			 & AARCH64_APPROX_MODE (mode))))
+	   || (!recp && (flag_mlow_precision_sqrt
+			 || (aarch64_tune_params.approx_sqrt_modes
+			     & AARCH64_APPROX_MODE (mode))))))
+    return false;
 
-  emit_insn ((*get_rsqrte_type (mode)) (x0, xsrc));
+  rtx xmsk = gen_reg_rtx (mmsk);
+  if (!recp)
+    /* When calculating the approximate square root, compare the argument with
+       0.0 and create a mask.  */
+    emit_insn (gen_rtx_SET (xmsk, gen_rtx_NEG (mmsk, gen_rtx_EQ (mmsk, src,
+							  CONST0_RTX (mode)))));
 
-  bool double_mode = (mode == DFmode || mode == V2DFmode);
+  /* Estimate the approximate reciprocal square root.  */
+  rtx xdst = gen_reg_rtx (mode);
+  emit_insn ((*get_rsqrte_type (mode)) (xdst, src));
 
-  int iterations = double_mode ? 3 : 2;
+  /* Iterate over the series twice for SF and thrice for DF.  */
+  int iterations = (GET_MODE_INNER (mode) == DFmode) ? 3 : 2;
 
-  /* Optionally iterate over the series one less time than otherwise.  */
-  if (flag_mrecip_low_precision_sqrt)
+  /* Optionally iterate over the series once less for faster performance
+     while sacrificing the accuracy.  */
+  if ((recp && flag_mrecip_low_precision_sqrt)
+      || (!recp && flag_mlow_precision_sqrt))
     iterations--;
 
-  for (int i = 0; i < iterations; ++i)
+  /* Iterate over the series to calculate the approximate reciprocal square root.  */
+  rtx x1 = gen_reg_rtx (mode);
+  while (iterations--)
     {
-      rtx x1 = gen_reg_rtx (mode);
       rtx x2 = gen_reg_rtx (mode);
-      rtx x3 = gen_reg_rtx (mode);
-      emit_set_insn (x2, gen_rtx_MULT (mode, x0, x0));
+      emit_set_insn (x2, gen_rtx_MULT (mode, xdst, xdst));
+
+      emit_insn ((*get_rsqrts_type (mode)) (x1, src, x2));
 
-      emit_insn ((*get_rsqrts_type (mode)) (x3, xsrc, x2));
+      if (iterations > 0)
+	emit_set_insn (xdst, gen_rtx_MULT (mode, xdst, x1));
+    }
+
+  if (!recp)
+    {
+      /* Qualify the approximate reciprocal square root when the argument is
+	 0.0 by squashing the intermediary result to 0.0.  */
+      rtx xtmp = gen_reg_rtx (mmsk);
+      emit_set_insn (xtmp, gen_rtx_AND (mmsk, gen_rtx_NOT (mmsk, xmsk),
+					      gen_rtx_SUBREG (mmsk, xdst, 0)));
+      emit_move_insn (xdst, gen_rtx_SUBREG (mode, xtmp, 0));
 
-      emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
-      x0 = x1;
+      /* Calculate the approximate square root.  */
+      emit_set_insn (xdst, gen_rtx_MULT (mode, xdst, src));
     }
 
-  emit_move_insn (dst, x0);
+  /* Return the approximation.  */
+  emit_set_insn (dst, gen_rtx_MULT (mode, xdst, x1));
+
+  return true;
 }
 
 /* Return the number of instructions that can be issued per cycle.  */
@@ -8090,6 +8131,12 @@ aarch64_override_options_after_change_1 (struct gcc_options *opts)
       && (aarch64_cmodel == AARCH64_CMODEL_TINY
 	  || aarch64_cmodel == AARCH64_CMODEL_TINY_PIC))
     aarch64_nopcrelative_literal_loads = false;
+
+  /* When enabling the lower precision Newton series for the square root, also
+     enable it for the reciprocal square root, since the later is an
+     intermediary step for the latter.  */
+  if (flag_mlow_precision_sqrt)
+    flag_mrecip_low_precision_sqrt = true;
 }
 
 /* 'Unpack' up the internal tuning structs and update the options
diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
index 9b282f1..aab3e00 100644
--- a/gcc/config/aarch64/aarch64.md
+++ b/gcc/config/aarch64/aarch64.md
@@ -4683,7 +4683,16 @@
   [(set_attr "type" "ffarith<s>")]
 )
 
-(define_insn "sqrt<mode>2"
+(define_expand "sqrt<mode>2"
+  [(set (match_operand:GPF 0 "register_operand")
+        (sqrt:GPF (match_operand:GPF 1 "register_operand")))]
+  "TARGET_SIMD"
+{
+  if (aarch64_emit_approx_sqrt (operands[0], operands[1], false))
+    DONE;
+})
+
+(define_insn "*sqrt<mode>2"
   [(set (match_operand:GPF 0 "register_operand" "=w")
         (sqrt:GPF (match_operand:GPF 1 "register_operand" "w")))]
   "TARGET_FLOAT"
diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
index c637ff4..ffd5540 100644
--- a/gcc/config/aarch64/aarch64.opt
+++ b/gcc/config/aarch64/aarch64.opt
@@ -151,5 +151,10 @@ PC relative literal loads.
 
 mlow-precision-recip-sqrt
 Common Var(flag_mrecip_low_precision_sqrt) Optimization
-When calculating the reciprocal square root approximation,
-uses one less step than otherwise, thus reducing latency and precision.
+When calculating the approximate reciprocal square root,
+use one less step than otherwise, thus reducing latency and precision.
+
+mlow-precision-sqrt
+Common Var(flag_mlow_precision_sqrt) Optimization
+When calculating the approximate square root,
+use one less step than otherwise, thus reducing latency and precision.
diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
index 4340b08..76b7a5c 100644
--- a/gcc/doc/invoke.texi
+++ b/gcc/doc/invoke.texi
@@ -574,6 +574,7 @@ Objective-C and Objective-C++ Dialects}.
 -mfix-cortex-a53-835769  -mno-fix-cortex-a53-835769 @gol
 -mfix-cortex-a53-843419  -mno-fix-cortex-a53-843419 @gol
 -mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
+-mlow-precision-sqrt -mno-low-precision-sqrt@gol
 -march=@var{name}  -mcpu=@var{name}  -mtune=@var{name}}
 
 @emph{Adapteva Epiphany Options}
@@ -12941,6 +12942,15 @@ uses one less step than otherwise, thus reducing latency and precision.
 This is only relevant if @option{-ffast-math} enables the reciprocal square root
 approximation.
 
+@item -mlow-precision-sqrt
+@item -mno-low-precision-sqrt
+@opindex -mlow-precision-sqrt
+@opindex -mno-low-precision-sqrt
+When calculating the square root approximation,
+uses one less step than otherwise, thus reducing latency and precision.
+This is only relevant if @option{-ffast-math} enables the square root
+approximation.
+
 @item -march=@var{name}
 @opindex march
 Specify the name of the target architecture and, optionally, one or
-- 
2.6.3

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