diff mbox

2015-07-31 Benedikt Huber <benedikt.huber@theobroma-systems.com> Philipp Tomsich <philipp.tomsich@theobroma-systems.com>

Message ID 1438362335-48036-2-git-send-email-benedikt.huber@theobroma-systems.com
State New
Headers show

Commit Message

Benedikt Huber July 31, 2015, 5:05 p.m. UTC
* config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
	rsqrtf.
	* config/aarch64/aarch64-opts.h: -mrecip has a default value
	depending on the core.
	* config/aarch64/aarch64-protos.h: Declare.
	* config/aarch64/aarch64-simd.md: Matching expressions for
	frsqrte and frsqrts.
	* config/aarch64/aarch64-tuning-flags.def: Added
	MRECIP_DEFAULT_ENABLED.
	* config/aarch64/aarch64.c: New functions. Emit rsqrt
	estimation code in fast math mode.
	* config/aarch64/aarch64.md: Added enum entries.
	* config/aarch64/aarch64.opt: Added options -mrecip and
	-mlow-precision-recip-sqrt.
	* testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
	for frsqrte and frsqrts
	* testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.

Signed-off-by: Philipp Tomsich <philipp.tomsich@theobroma-systems.com>
---
 gcc/ChangeLog                                      |  21 ++++
 gcc/config/aarch64/aarch64-builtins.c              | 104 ++++++++++++++++++++
 gcc/config/aarch64/aarch64-opts.h                  |   7 ++
 gcc/config/aarch64/aarch64-protos.h                |   2 +
 gcc/config/aarch64/aarch64-simd.md                 |  27 ++++++
 gcc/config/aarch64/aarch64-tuning-flags.def        |   1 +
 gcc/config/aarch64/aarch64.c                       | 106 +++++++++++++++++++-
 gcc/config/aarch64/aarch64.md                      |   3 +
 gcc/config/aarch64/aarch64.opt                     |   8 ++
 gcc/doc/invoke.texi                                |  19 ++++
 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c |  63 ++++++++++++
 gcc/testsuite/gcc.target/aarch64/rsqrt.c           | 107 +++++++++++++++++++++
 12 files changed, 463 insertions(+), 5 deletions(-)
 create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
 create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt.c

Comments

Benedikt Huber Aug. 26, 2015, 4:58 p.m. UTC | #1
ping

[PATCH v4][aarch64] Implemented reciprocal square root (rsqrt) estimation in -ffast-math

https://gcc.gnu.org/ml/gcc-patches/2015-07/msg02698.html

> On 31 Jul 2015, at 19:05, Benedikt Huber <benedikt.huber@theobroma-systems.com> wrote:
> 
> 	* config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
> 	rsqrtf.
> 	* config/aarch64/aarch64-opts.h: -mrecip has a default value
> 	depending on the core.
> 	* config/aarch64/aarch64-protos.h: Declare.
> 	* config/aarch64/aarch64-simd.md: Matching expressions for
> 	frsqrte and frsqrts.
> 	* config/aarch64/aarch64-tuning-flags.def: Added
> 	MRECIP_DEFAULT_ENABLED.
> 	* config/aarch64/aarch64.c: New functions. Emit rsqrt
> 	estimation code in fast math mode.
> 	* config/aarch64/aarch64.md: Added enum entries.
> 	* config/aarch64/aarch64.opt: Added options -mrecip and
> 	-mlow-precision-recip-sqrt.
> 	* testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
> 	for frsqrte and frsqrts
> 	* testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
> 
> Signed-off-by: Philipp Tomsich <philipp.tomsich@theobroma-systems.com>
> ---
> gcc/ChangeLog                                      |  21 ++++
> gcc/config/aarch64/aarch64-builtins.c              | 104 ++++++++++++++++++++
> gcc/config/aarch64/aarch64-opts.h                  |   7 ++
> gcc/config/aarch64/aarch64-protos.h                |   2 +
> gcc/config/aarch64/aarch64-simd.md                 |  27 ++++++
> gcc/config/aarch64/aarch64-tuning-flags.def        |   1 +
> gcc/config/aarch64/aarch64.c                       | 106 +++++++++++++++++++-
> gcc/config/aarch64/aarch64.md                      |   3 +
> gcc/config/aarch64/aarch64.opt                     |   8 ++
> gcc/doc/invoke.texi                                |  19 ++++
> gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c |  63 ++++++++++++
> gcc/testsuite/gcc.target/aarch64/rsqrt.c           | 107 +++++++++++++++++++++
> 12 files changed, 463 insertions(+), 5 deletions(-)
> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt.c
> 
> diff --git a/gcc/ChangeLog b/gcc/ChangeLog
> index 3432adb..3bf3098 100644
> --- a/gcc/ChangeLog
> +++ b/gcc/ChangeLog
> @@ -1,3 +1,24 @@
> +2015-07-31  Benedikt Huber  <benedikt.huber@theobroma-systems.com>
> +	    Philipp Tomsich  <philipp.tomsich@theobroma-systems.com>
> +
> +	* config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
> +	rsqrtf.
> +	* config/aarch64/aarch64-opts.h: -mrecip has a default value
> +	depending on the core.
> +	* config/aarch64/aarch64-protos.h: Declare.
> +	* config/aarch64/aarch64-simd.md: Matching expressions for
> +	frsqrte and frsqrts.
> +	* config/aarch64/aarch64-tuning-flags.def: Added
> +	MRECIP_DEFAULT_ENABLED.
> +	* config/aarch64/aarch64.c: New functions. Emit rsqrt
> +	estimation code in fast math mode.
> +	* config/aarch64/aarch64.md: Added enum entries.
> +	* config/aarch64/aarch64.opt: Added options -mrecip and
> +	-mlow-precision-recip-sqrt.
> +	* testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
> +	for frsqrte and frsqrts
> +	* testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
> +
> 2015-07-08  Jiong Wang  <jiong.wang@arm.com>
> 
> 	* config/aarch64/aarch64.c (aarch64_unspec_may_trap_p): New function.
> diff --git a/gcc/config/aarch64/aarch64-builtins.c b/gcc/config/aarch64/aarch64-builtins.c
> index b6c89b9..b4f443c 100644
> --- a/gcc/config/aarch64/aarch64-builtins.c
> +++ b/gcc/config/aarch64/aarch64-builtins.c
> @@ -335,6 +335,11 @@ enum aarch64_builtins
>   AARCH64_BUILTIN_GET_FPSR,
>   AARCH64_BUILTIN_SET_FPSR,
> 
> +  AARCH64_BUILTIN_RSQRT_DF,
> +  AARCH64_BUILTIN_RSQRT_SF,
> +  AARCH64_BUILTIN_RSQRT_V2DF,
> +  AARCH64_BUILTIN_RSQRT_V2SF,
> +  AARCH64_BUILTIN_RSQRT_V4SF,
>   AARCH64_SIMD_BUILTIN_BASE,
>   AARCH64_SIMD_BUILTIN_LANE_CHECK,
> #include "aarch64-simd-builtins.def"
> @@ -824,6 +829,42 @@ aarch64_init_crc32_builtins ()
> }
> 
> void
> +aarch64_add_builtin_rsqrt (void)
> +{
> +  tree fndecl = NULL;
> +  tree ftype = NULL;
> +
> +  tree V2SF_type_node = build_vector_type (float_type_node, 2);
> +  tree V2DF_type_node = build_vector_type (double_type_node, 2);
> +  tree V4SF_type_node = build_vector_type (float_type_node, 4);
> +
> +  ftype = build_function_type_list (double_type_node, double_type_node, NULL_TREE);
> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_df",
> +    ftype, AARCH64_BUILTIN_RSQRT_DF, BUILT_IN_MD, NULL, NULL_TREE);
> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF] = fndecl;
> +
> +  ftype = build_function_type_list (float_type_node, float_type_node, NULL_TREE);
> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_sf",
> +    ftype, AARCH64_BUILTIN_RSQRT_SF, BUILT_IN_MD, NULL, NULL_TREE);
> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF] = fndecl;
> +
> +  ftype = build_function_type_list (V2DF_type_node, V2DF_type_node, NULL_TREE);
> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2df",
> +    ftype, AARCH64_BUILTIN_RSQRT_V2DF, BUILT_IN_MD, NULL, NULL_TREE);
> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF] = fndecl;
> +
> +  ftype = build_function_type_list (V2SF_type_node, V2SF_type_node, NULL_TREE);
> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2sf",
> +    ftype, AARCH64_BUILTIN_RSQRT_V2SF, BUILT_IN_MD, NULL, NULL_TREE);
> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF] = fndecl;
> +
> +  ftype = build_function_type_list (V4SF_type_node, V4SF_type_node, NULL_TREE);
> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v4sf",
> +    ftype, AARCH64_BUILTIN_RSQRT_V4SF, BUILT_IN_MD, NULL, NULL_TREE);
> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF] = fndecl;
> +}
> +
> +void
> aarch64_init_builtins (void)
> {
>   tree ftype_set_fpr
> @@ -848,6 +889,7 @@ aarch64_init_builtins (void)
>     aarch64_init_simd_builtins ();
>   if (TARGET_CRC32)
>     aarch64_init_crc32_builtins ();
> +  aarch64_add_builtin_rsqrt ();
> }
> 
> tree
> @@ -1092,6 +1134,39 @@ aarch64_crc32_expand_builtin (int fcode, tree exp, rtx target)
>   return target;
> }
> 
> +static rtx
> +aarch64_expand_builtin_rsqrt (int fcode, tree exp, rtx target)
> +{
> +  rtx pat;
> +  tree arg0 = CALL_EXPR_ARG (exp, 0);
> +  rtx op0 = expand_normal (arg0);
> +
> +  enum insn_code c;
> +
> +  switch (fcode)
> +    {
> +      case AARCH64_BUILTIN_RSQRT_DF:
> +        c = CODE_FOR_rsqrt_df2; break;
> +      case AARCH64_BUILTIN_RSQRT_SF:
> +        c = CODE_FOR_rsqrt_sf2; break;
> +      case AARCH64_BUILTIN_RSQRT_V2DF:
> +        c = CODE_FOR_rsqrt_v2df2; break;
> +      case AARCH64_BUILTIN_RSQRT_V2SF:
> +        c = CODE_FOR_rsqrt_v2sf2; break;
> +      case AARCH64_BUILTIN_RSQRT_V4SF:
> +        c = CODE_FOR_rsqrt_v4sf2; break;
> +	  default: gcc_unreachable ();
> +    }
> +
> +  if (!target)
> +    target = gen_reg_rtx (GET_MODE (op0));
> +
> +  pat = GEN_FCN (c) (target, op0);
> +  emit_insn (pat);
> +
> +  return target;
> +}
> +
> /* Expand an expression EXP that calls a built-in function,
>    with result going to TARGET if that's convenient.  */
> rtx
> @@ -1139,6 +1214,13 @@ aarch64_expand_builtin (tree exp,
>   else if (fcode >= AARCH64_CRC32_BUILTIN_BASE && fcode <= AARCH64_CRC32_BUILTIN_MAX)
>     return aarch64_crc32_expand_builtin (fcode, exp, target);
> 
> +  if (fcode == AARCH64_BUILTIN_RSQRT_DF
> +      || fcode == AARCH64_BUILTIN_RSQRT_SF
> +      || fcode == AARCH64_BUILTIN_RSQRT_V2DF
> +      || fcode == AARCH64_BUILTIN_RSQRT_V2SF
> +      || fcode == AARCH64_BUILTIN_RSQRT_V4SF)
> +    return aarch64_expand_builtin_rsqrt (fcode, exp, target);
> +
>   gcc_unreachable ();
> }
> 
> @@ -1296,6 +1378,28 @@ aarch64_builtin_vectorized_function (tree fndecl, tree type_out, tree type_in)
>   return NULL_TREE;
> }
> 
> +tree
> +aarch64_builtin_rsqrt (unsigned int fn, bool md_fn)
> +{
> +  if (md_fn)
> +    {
> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2df)
> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF];
> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2sf)
> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF];
> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv4sf)
> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF];
> +    }
> +  else
> +    {
> +      if (fn == BUILT_IN_SQRT)
> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF];
> +      if (fn == BUILT_IN_SQRTF)
> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF];
> +    }
> +  return NULL_TREE;
> +}
> +
> #undef VAR1
> #define VAR1(T, N, MAP, A) \
>   case AARCH64_SIMD_BUILTIN_##T##_##N##A:
> diff --git a/gcc/config/aarch64/aarch64-opts.h b/gcc/config/aarch64/aarch64-opts.h
> index 24bfd9f..75e9c67 100644
> --- a/gcc/config/aarch64/aarch64-opts.h
> +++ b/gcc/config/aarch64/aarch64-opts.h
> @@ -64,4 +64,11 @@ enum aarch64_code_model {
>   AARCH64_CMODEL_LARGE
> };
> 
> +/* Each core can have -mrecip enabled or disabled by default. */
> +enum aarch64_mrecip {
> +  AARCH64_MRECIP_OFF = 0,
> +  AARCH64_MRECIP_ON,
> +  AARCH64_MRECIP_DEFAULT,
> +};
> +
> #endif
> diff --git a/gcc/config/aarch64/aarch64-protos.h b/gcc/config/aarch64/aarch64-protos.h
> index 4062c27..8b8a389 100644
> --- a/gcc/config/aarch64/aarch64-protos.h
> +++ b/gcc/config/aarch64/aarch64-protos.h
> @@ -321,6 +321,8 @@ void aarch64_print_operand (FILE *, rtx, char);
> void aarch64_print_operand_address (FILE *, rtx);
> void aarch64_emit_call_insn (rtx);
> 
> +void aarch64_emit_swrsqrt (rtx, rtx);
> +
> /* 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 b90f938..ae81731 100644
> --- a/gcc/config/aarch64/aarch64-simd.md
> +++ b/gcc/config/aarch64/aarch64-simd.md
> @@ -353,6 +353,33 @@
>   [(set_attr "type" "neon_fp_mul_d_scalar_q")]
> )
> 
> +(define_insn "rsqrte_<mode>2"
> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
> +	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
> +		     UNSPEC_RSQRTE))]
> +  "TARGET_SIMD"
> +  "frsqrte\\t%<v>0<Vmtype>, %<v>1<Vmtype>"
> +  [(set_attr "type" "neon_fp_rsqrte_<Vetype><q>")])
> +
> +(define_insn "rsqrts_<mode>3"
> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
> +	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")
> +               (match_operand:VALLF 2 "register_operand" "w")]
> +		     UNSPEC_RSQRTS))]
> +  "TARGET_SIMD"
> +  "frsqrts\\t%<v>0<Vmtype>, %<v>1<Vmtype>, %<v>2<Vmtype>"
> +  [(set_attr "type" "neon_fp_rsqrts_<Vetype><q>")])
> +
> +(define_expand "rsqrt_<mode>2"
> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
> +	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
> +		     UNSPEC_RSQRT))]
> +  "TARGET_SIMD"
> +{
> +  aarch64_emit_swrsqrt (operands[0], operands[1]);
> +  DONE;
> +})
> +
> (define_insn "*aarch64_mul3_elt_to_64v2df"
>   [(set (match_operand:DF 0 "register_operand" "=w")
>      (mult:DF
> diff --git a/gcc/config/aarch64/aarch64-tuning-flags.def b/gcc/config/aarch64/aarch64-tuning-flags.def
> index 01aaca8..97dbf00 100644
> --- a/gcc/config/aarch64/aarch64-tuning-flags.def
> +++ b/gcc/config/aarch64/aarch64-tuning-flags.def
> @@ -31,4 +31,5 @@
>      flags.  */
> 
> AARCH64_EXTRA_TUNING_OPTION ("rename_fma_regs", RENAME_FMA_REGS, 0)
> +AARCH64_EXTRA_TUNING_OPTION ("mrecip_default_enabled", MRECIP_DEFAULT_ENABLED, 1)
> 
> diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
> index 6c13a078..76c0eee 100644
> --- a/gcc/config/aarch64/aarch64.c
> +++ b/gcc/config/aarch64/aarch64.c
> @@ -364,7 +364,7 @@ static const struct tune_params generic_tunings =
>   1,	/* vec_reassoc_width.  */
>   2,	/* min_div_recip_mul_sf.  */
>   2,	/* min_div_recip_mul_df.  */
> -  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
> };
> 
> static const struct tune_params cortexa53_tunings =
> @@ -386,7 +386,7 @@ static const struct tune_params cortexa53_tunings =
>   1,	/* vec_reassoc_width.  */
>   2,	/* min_div_recip_mul_sf.  */
>   2,	/* min_div_recip_mul_df.  */
> -  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
> };
> 
> static const struct tune_params cortexa57_tunings =
> @@ -408,7 +408,8 @@ static const struct tune_params cortexa57_tunings =
>   1,	/* vec_reassoc_width.  */
>   2,	/* min_div_recip_mul_sf.  */
>   2,	/* min_div_recip_mul_df.  */
> -  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS)	/* tune_flags.  */
> +  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS	/* tune_flags.  */
> +   | AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)
> };
> 
> static const struct tune_params cortexa72_tunings =
> @@ -430,7 +431,7 @@ static const struct tune_params cortexa72_tunings =
>   1,	/* vec_reassoc_width.  */
>   2,	/* min_div_recip_mul_sf.  */
>   2,	/* min_div_recip_mul_df.  */
> -  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
> };
> 
> static const struct tune_params thunderx_tunings =
> @@ -472,7 +473,7 @@ static const struct tune_params xgene1_tunings =
>   1,	/* vec_reassoc_width.  */
>   2,	/* min_div_recip_mul_sf.  */
>   2,	/* min_div_recip_mul_df.  */
> -  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
> };
> 
> /* Support for fine-grained override of the tuning structures.  */
> @@ -6961,6 +6962,98 @@ aarch64_memory_move_cost (machine_mode mode ATTRIBUTE_UNUSED,
>   return aarch64_tune_params.memmov_cost;
> }
> 
> +extern tree aarch64_builtin_rsqrt (unsigned int fn, bool md_fn);
> +
> +static tree
> +aarch64_builtin_reciprocal (unsigned int fn,
> +                            bool md_fn,
> +                            bool)
> +{
> +  if (!flag_finite_math_only
> +      || flag_trapping_math
> +      || !flag_unsafe_math_optimizations
> +      || optimize_size
> +      || flag_mrecip == AARCH64_MRECIP_OFF
> +      || (flag_mrecip == AARCH64_MRECIP_DEFAULT
> +          && !(aarch64_tune_params.extra_tuning_flags
> +               & AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)))
> +  {
> +    return NULL_TREE;
> +  }
> +
> +  return aarch64_builtin_rsqrt (fn, md_fn);
> +}
> +
> +typedef rtx (*rsqrte_type) (rtx, rtx);
> +
> +rsqrte_type get_rsqrte_type (enum machine_mode mode)
> +{
> +  switch (mode)
> +  {
> +    case DFmode:   return gen_rsqrte_df2;
> +    case SFmode:   return gen_rsqrte_sf2;
> +    case V2DFmode: return gen_rsqrte_v2df2;
> +    case V2SFmode: return gen_rsqrte_v2sf2;
> +    case V4SFmode: return gen_rsqrte_v4sf2;
> +    default: gcc_unreachable ();
> +  }
> +}
> +
> +typedef rtx (*rsqrts_type) (rtx, rtx, rtx);
> +
> +rsqrts_type get_rsqrts_type (enum machine_mode mode)
> +{
> +  switch (mode)
> +  {
> +    case DFmode:   return gen_rsqrts_df3;
> +    case SFmode:   return gen_rsqrts_sf3;
> +    case V2DFmode: return gen_rsqrts_v2df3;
> +    case V2SFmode: return gen_rsqrts_v2sf3;
> +    case V4SFmode: return gen_rsqrts_v4sf3;
> +    default: gcc_unreachable ();
> +  }
> +}
> +
> +void
> +aarch64_emit_swrsqrt (rtx dst, rtx src)
> +{
> +  enum 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);
> +
> +  emit_insn ((*get_rsqrte_type (mode)) (x0, xsrc));
> +
> +  bool double_mode = (mode == DFmode || mode == V2DFmode);
> +
> +  int iterations = 2;
> +  if (double_mode)
> +    iterations = 3;
> +
> +  if (flag_mrecip_low_precision_sqrt)
> +    iterations--;
> +
> +  for (int i = 0; i < iterations; ++i)
> +    {
> +      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_insn ((*get_rsqrts_type (mode)) (x3, xsrc, x2));
> +
> +      emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
> +      x0 = x1;
> +    }
> +
> +  emit_move_insn (dst, x0);
> +  return;
> +}
> +
> /* Return the number of instructions that can be issued per cycle.  */
> static int
> aarch64_sched_issue_rate (void)
> @@ -12099,6 +12192,9 @@ aarch64_unspec_may_trap_p (const_rtx x, unsigned flags)
> #undef TARGET_USE_BLOCKS_FOR_CONSTANT_P
> #define TARGET_USE_BLOCKS_FOR_CONSTANT_P aarch64_use_blocks_for_constant_p
> 
> +#undef TARGET_BUILTIN_RECIPROCAL
> +#define TARGET_BUILTIN_RECIPROCAL aarch64_builtin_reciprocal
> +
> #undef TARGET_VECTOR_MODE_SUPPORTED_P
> #define TARGET_VECTOR_MODE_SUPPORTED_P aarch64_vector_mode_supported_p
> 
> diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
> index 1e343fa..d7944b2 100644
> --- a/gcc/config/aarch64/aarch64.md
> +++ b/gcc/config/aarch64/aarch64.md
> @@ -122,6 +122,9 @@
>     UNSPEC_VSTRUCTDUMMY
>     UNSPEC_SP_SET
>     UNSPEC_SP_TEST
> +    UNSPEC_RSQRT
> +    UNSPEC_RSQRTE
> +    UNSPEC_RSQRTS
> ])
> 
> (define_c_enum "unspecv" [
> diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
> index 98ef9f6..7921b85 100644
> --- a/gcc/config/aarch64/aarch64.opt
> +++ b/gcc/config/aarch64/aarch64.opt
> @@ -124,3 +124,11 @@ Enum(aarch64_abi) String(ilp32) Value(AARCH64_ABI_ILP32)
> 
> EnumValue
> Enum(aarch64_abi) String(lp64) Value(AARCH64_ABI_LP64)
> +
> +mrecip
> +Common Report Var(flag_mrecip) Optimization Init(AARCH64_MRECIP_DEFAULT)
> +Generate software reciprocal square root for better throughput.
> +
> +mlow-precision-recip-sqrt
> +Common Var(flag_mrecip_low_precision_sqrt) Optimization
> +Run fewer approximation steps to reduce latency and precision.
> diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
> index b28e5d6..bd922a3 100644
> --- a/gcc/doc/invoke.texi
> +++ b/gcc/doc/invoke.texi
> @@ -515,6 +515,8 @@ Objective-C and Objective-C++ Dialects}.
> -mtls-dialect=desc  -mtls-dialect=traditional @gol
> -mfix-cortex-a53-835769  -mno-fix-cortex-a53-835769 @gol
> -mfix-cortex-a53-843419  -mno-fix-cortex-a53-843419 @gol
> +-mrecip -mno-recip @gol
> +-mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
> -march=@var{name}  -mcpu=@var{name}  -mtune=@var{name}}
> 
> @emph{Adapteva Epiphany Options}
> @@ -12426,6 +12428,23 @@ Enable or disable the workaround for the ARM Cortex-A53 erratum number 843419.
> This erratum workaround is made at link time and this will only pass the
> corresponding flag to the linker.
> 
> +@item -mrecip
> +@item -mno-recip
> +@opindex mrecip
> +@opindex mno-recip
> +This option enables use of the
> +reciprocal square root estimate instructions with additional
> +Newton-Raphson steps to increase precision instead of doing a square root and
> +divide for floating-point arguments.
> +It can only be used together with @option{-ffast-math}.
> +
> +@item -mlow-precision-recip-sqrt
> +@item -mno-low-precision-recip-sqrt
> +@opindex -mlow-precision-recip-sqrt
> +@opindex -mno-low-precision-recip-sqrt
> +The square root estimate uses two steps instead of three for double-precision,
> +and one step instead of two for single-precision. Thus reducing latency and precision.
> +
> @item -march=@var{name}
> @opindex march
> Specify the name of the target architecture, optionally suffixed by one or
> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
> new file mode 100644
> index 0000000..d6cfe11
> --- /dev/null
> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
> @@ -0,0 +1,63 @@
> +/* { dg-do compile } */
> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
> +
> +#include <math.h>
> +
> +#define sqrt_float   __builtin_sqrtf
> +#define sqrt_double  __builtin_sqrt
> +
> +#define TESTTYPE(TYPE)                                          \
> +typedef struct {                                                \
> +  TYPE a;                                                       \
> +  TYPE b;                                                       \
> +  TYPE c;                                                       \
> +  TYPE d;                                                       \
> +} s4_##TYPE;                                                    \
> +                                                                \
> +typedef struct {                                                \
> +  TYPE a;                                                       \
> +  TYPE b;                                                       \
> +} s2_##TYPE;                                                    \
> +                                                                \
> +s4_##TYPE rsqrtv4_##TYPE (s4_##TYPE i)                          \
> +{                                                               \
> +  s4_##TYPE o;                                                  \
> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
> +  o.c = 1.0 / sqrt_##TYPE (i.c);                                \
> +  o.d = 1.0 / sqrt_##TYPE (i.d);                                \
> +  return o;                                                     \
> +}                                                               \
> +                                                                \
> +s2_##TYPE rsqrtv2_##TYPE (s2_##TYPE i)                          \
> +{                                                               \
> +  s2_##TYPE o;                                                  \
> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
> +  return o;                                                     \
> +}                                                               \
> +                                                                \
> +TYPE rsqrt_##TYPE (TYPE i)                                      \
> +{                                                               \
> +  return 1.0 / sqrt_##TYPE (i);                                 \
> +}                                                               \
> +                                                                \
> +
> +TESTTYPE(double)
> +TESTTYPE(float)
> +
> +/* { dg-final { scan-assembler-times "frsqrte\\td\[0-9\]+, d\[0-9\]+" 1 } } */
> +/* { dg-final { scan-assembler-times "frsqrts\\td\[0-9\]+, d\[0-9\]+, d\[0-9\]+" 3 } } */
> +
> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2d, v\[0-9\]+.2d" 3 } } */
> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2d, v\[0-9\]+.2d, v\[0-9\]+.2d" 9 } } */
> +
> +
> +/* { dg-final { scan-assembler-times "frsqrte\\ts\[0-9\]+, s\[0-9\]+" 1 } } */
> +/* { dg-final { scan-assembler-times "frsqrts\\ts\[0-9\]+, s\[0-9\]+, s\[0-9\]+" 2 } } */
> +
> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.4s, v\[0-9\]+.4s" 1 } } */
> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.4s, v\[0-9\]+.4s, v\[0-9\]+.4s" 2 } } */
> +
> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2s, v\[0-9\]+.2s" 1 } } */
> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2s, v\[0-9\]+.2s, v\[0-9\]+.2s" 2 } } */
> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt.c b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
> new file mode 100644
> index 0000000..4a5c008
> --- /dev/null
> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
> @@ -0,0 +1,107 @@
> +/* { dg-do run } */
> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
> +
> +#include <math.h>
> +#include <stdio.h>
> +
> +#include <float.h>
> +
> +#define PI    3.141592653589793
> +#define SQRT2 1.4142135623730951
> +
> +#define PI_4 0.7853981633974483
> +#define SQRT1_2 0.7071067811865475
> +
> +/* 2^25+1, float has 24 significand bits
> + *       according to Single-precision floating-point format.  */
> +#define TESTA8_FLT 33554433
> +/* 2^54+1, double has 53 significand bits
> + *       according to Double-precision floating-point format.  */
> +#define TESTA8_DBL 18014398509481985
> +
> +#define SD(a, b) t_double ((#a), (a), (b));
> +#define SF(a, b) t_float ((#a), (a), (b));
> +
> +#define EPSILON_double __DBL_EPSILON__
> +#define EPSILON_float __FLT_EPSILON__
> +#define ABS_double __builtin_fabs
> +#define ABS_float __builtin_fabsf
> +#define SQRT_double __builtin_sqrt
> +#define SQRT_float __builtin_sqrtf
> +
> +extern void abort (void);
> +
> +#define TESTTYPE(TYPE)                                                     \
> +TYPE rsqrt_##TYPE (TYPE a)                                                 \
> +{                                                                          \
> +  return 1.0/SQRT_##TYPE(a);                                               \
> +}                                                                          \
> +                                                                           \
> +int equals_##TYPE (TYPE a, TYPE b)                                         \
> +{                                                                          \
> +  return (a == b ||                                                        \
> +          (isnan (a) && isnan (b)) ||                                      \
> +          (ABS_##TYPE (a - b) < EPSILON_##TYPE));                          \
> +}                                                                          \
> +                                                                           \
> +void t_##TYPE (const char *s, TYPE a, TYPE result)                         \
> +{                                                                          \
> +  TYPE r = rsqrt_##TYPE (a);                                               \
> +  if (!equals_##TYPE (r, result))                                          \
> +  {                                                                        \
> +    abort ();                                                              \
> +  }                                                                        \
> +}                                                                          \
> +
> +//  printf ("Problem in %20s: %30.18A should be %30.18A\n", s, r, result); \
> +
> +TESTTYPE(double)
> +TESTTYPE(float)
> +
> +int main ()
> +{
> +  SD(    1.0/256, 0X1.00000000000000P+4  );
> +  SD(        1.0, 0X1.00000000000000P+0  );
> +  SD(       -1.0,                     NAN);
> +  SD(       11.0, 0X1.34BF63D1568260P-2  );
> +  SD(        0.0,                INFINITY);
> +  SD(   INFINITY, 0X0.00000000000000P+0  );
> +  SD(        NAN,                     NAN);
> +  SD(       -NAN,                    -NAN);
> +  SD(    DBL_MAX, 0X1.00000000000010P-512);
> +  SD(    DBL_MIN, 0X1.00000000000000P+511);
> +  SD(         PI, 0X1.20DD750429B6D0P-1  );
> +  SD(       PI_4, 0X1.20DD750429B6D0P+0  );
> +  SD(      SQRT2, 0X1.AE89F995AD3AE0P-1  );
> +  SD(    SQRT1_2, 0X1.306FE0A31B7150P+0  );
> +  SD(        -PI,                     NAN);
> +  SD(     -SQRT2,                     NAN);
> +  SD( TESTA8_DBL, 0X1.00000000000000P-27 );
> +
> +  SF(    1.0/256, 0X1.00000000000000P+4  );
> +  SF(        1.0, 0X1.00000000000000P+0  );
> +  SF(       -1.0,                     NAN);
> +  SF(       11.0, 0X1.34BF6400000000P-2  );
> +  SF(        0.0,                INFINITY);
> +  SF(   INFINITY, 0X0.00000000000000P+0  );
> +  SF(        NAN,                     NAN);
> +  SF(       -NAN,                    -NAN);
> +  SF(    FLT_MAX, 0X1.00000200000000P-64 );
> +  SF(    FLT_MIN, 0X1.00000000000000P+63 );
> +  SF(         PI, 0X1.20DD7400000000P-1  );
> +  SF(       PI_4, 0X1.20DD7400000000P+0  );
> +  SF(      SQRT2, 0X1.AE89FA00000000P-1  );
> +  SF(    SQRT1_2, 0X1.306FE000000000P+0  );
> +  SF(        -PI,                     NAN);
> +  SF(     -SQRT2,                     NAN);
> +  SF( TESTA8_FLT, 0X1.6A09E600000000P-13 );
> +
> +//   With -ffast-math these return positive INF.
> +//   SD(       -0.0,               -INFINITY);
> +//   SF(       -0.0,               -INFINITY);
> +//   The reason here is that -ffast-math flushes to zero.
> +//   SD(DBL_MIN/256, 0X1.00000000000000P+515);
> +//   SF(FLT_MIN/256, 0X1.00000000000000P+67 );
> +
> +  return 0;
> +}
> --
> 1.9.1
>
Sebastian Pop Sept. 3, 2015, 3:58 p.m. UTC | #2
On Wed, Aug 26, 2015 at 11:58 AM, Benedikt Huber
<benedikt.huber@theobroma-systems.com> wrote:
> ping
>
> [PATCH v4][aarch64] Implemented reciprocal square root (rsqrt) estimation in -ffast-math
>
> https://gcc.gnu.org/ml/gcc-patches/2015-07/msg02698.html
>
>> On 31 Jul 2015, at 19:05, Benedikt Huber <benedikt.huber@theobroma-systems.com> wrote:
>>
>>       * config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
>>       rsqrtf.
>>       * config/aarch64/aarch64-opts.h: -mrecip has a default value
>>       depending on the core.
>>       * config/aarch64/aarch64-protos.h: Declare.
>>       * config/aarch64/aarch64-simd.md: Matching expressions for
>>       frsqrte and frsqrts.
>>       * config/aarch64/aarch64-tuning-flags.def: Added
>>       MRECIP_DEFAULT_ENABLED.
>>       * config/aarch64/aarch64.c: New functions. Emit rsqrt
>>       estimation code in fast math mode.
>>       * config/aarch64/aarch64.md: Added enum entries.
>>       * config/aarch64/aarch64.opt: Added options -mrecip and
>>       -mlow-precision-recip-sqrt.
>>       * testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
>>       for frsqrte and frsqrts
>>       * testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.

The patch looks good to me.
You will need an ARM/AArch64 maintainer to approve your patch: +Ramana

Thanks,
Sebastian

>>
>> Signed-off-by: Philipp Tomsich <philipp.tomsich@theobroma-systems.com>
>> ---
>> gcc/ChangeLog                                      |  21 ++++
>> gcc/config/aarch64/aarch64-builtins.c              | 104 ++++++++++++++++++++
>> gcc/config/aarch64/aarch64-opts.h                  |   7 ++
>> gcc/config/aarch64/aarch64-protos.h                |   2 +
>> gcc/config/aarch64/aarch64-simd.md                 |  27 ++++++
>> gcc/config/aarch64/aarch64-tuning-flags.def        |   1 +
>> gcc/config/aarch64/aarch64.c                       | 106 +++++++++++++++++++-
>> gcc/config/aarch64/aarch64.md                      |   3 +
>> gcc/config/aarch64/aarch64.opt                     |   8 ++
>> gcc/doc/invoke.texi                                |  19 ++++
>> gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c |  63 ++++++++++++
>> gcc/testsuite/gcc.target/aarch64/rsqrt.c           | 107 +++++++++++++++++++++
>> 12 files changed, 463 insertions(+), 5 deletions(-)
>> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt.c
>>
>> diff --git a/gcc/ChangeLog b/gcc/ChangeLog
>> index 3432adb..3bf3098 100644
>> --- a/gcc/ChangeLog
>> +++ b/gcc/ChangeLog
>> @@ -1,3 +1,24 @@
>> +2015-07-31  Benedikt Huber  <benedikt.huber@theobroma-systems.com>
>> +         Philipp Tomsich  <philipp.tomsich@theobroma-systems.com>
>> +
>> +     * config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
>> +     rsqrtf.
>> +     * config/aarch64/aarch64-opts.h: -mrecip has a default value
>> +     depending on the core.
>> +     * config/aarch64/aarch64-protos.h: Declare.
>> +     * config/aarch64/aarch64-simd.md: Matching expressions for
>> +     frsqrte and frsqrts.
>> +     * config/aarch64/aarch64-tuning-flags.def: Added
>> +     MRECIP_DEFAULT_ENABLED.
>> +     * config/aarch64/aarch64.c: New functions. Emit rsqrt
>> +     estimation code in fast math mode.
>> +     * config/aarch64/aarch64.md: Added enum entries.
>> +     * config/aarch64/aarch64.opt: Added options -mrecip and
>> +     -mlow-precision-recip-sqrt.
>> +     * testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
>> +     for frsqrte and frsqrts
>> +     * testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
>> +
>> 2015-07-08  Jiong Wang  <jiong.wang@arm.com>
>>
>>       * config/aarch64/aarch64.c (aarch64_unspec_may_trap_p): New function.
>> diff --git a/gcc/config/aarch64/aarch64-builtins.c b/gcc/config/aarch64/aarch64-builtins.c
>> index b6c89b9..b4f443c 100644
>> --- a/gcc/config/aarch64/aarch64-builtins.c
>> +++ b/gcc/config/aarch64/aarch64-builtins.c
>> @@ -335,6 +335,11 @@ enum aarch64_builtins
>>   AARCH64_BUILTIN_GET_FPSR,
>>   AARCH64_BUILTIN_SET_FPSR,
>>
>> +  AARCH64_BUILTIN_RSQRT_DF,
>> +  AARCH64_BUILTIN_RSQRT_SF,
>> +  AARCH64_BUILTIN_RSQRT_V2DF,
>> +  AARCH64_BUILTIN_RSQRT_V2SF,
>> +  AARCH64_BUILTIN_RSQRT_V4SF,
>>   AARCH64_SIMD_BUILTIN_BASE,
>>   AARCH64_SIMD_BUILTIN_LANE_CHECK,
>> #include "aarch64-simd-builtins.def"
>> @@ -824,6 +829,42 @@ aarch64_init_crc32_builtins ()
>> }
>>
>> void
>> +aarch64_add_builtin_rsqrt (void)
>> +{
>> +  tree fndecl = NULL;
>> +  tree ftype = NULL;
>> +
>> +  tree V2SF_type_node = build_vector_type (float_type_node, 2);
>> +  tree V2DF_type_node = build_vector_type (double_type_node, 2);
>> +  tree V4SF_type_node = build_vector_type (float_type_node, 4);
>> +
>> +  ftype = build_function_type_list (double_type_node, double_type_node, NULL_TREE);
>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_df",
>> +    ftype, AARCH64_BUILTIN_RSQRT_DF, BUILT_IN_MD, NULL, NULL_TREE);
>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF] = fndecl;
>> +
>> +  ftype = build_function_type_list (float_type_node, float_type_node, NULL_TREE);
>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_sf",
>> +    ftype, AARCH64_BUILTIN_RSQRT_SF, BUILT_IN_MD, NULL, NULL_TREE);
>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF] = fndecl;
>> +
>> +  ftype = build_function_type_list (V2DF_type_node, V2DF_type_node, NULL_TREE);
>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2df",
>> +    ftype, AARCH64_BUILTIN_RSQRT_V2DF, BUILT_IN_MD, NULL, NULL_TREE);
>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF] = fndecl;
>> +
>> +  ftype = build_function_type_list (V2SF_type_node, V2SF_type_node, NULL_TREE);
>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2sf",
>> +    ftype, AARCH64_BUILTIN_RSQRT_V2SF, BUILT_IN_MD, NULL, NULL_TREE);
>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF] = fndecl;
>> +
>> +  ftype = build_function_type_list (V4SF_type_node, V4SF_type_node, NULL_TREE);
>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v4sf",
>> +    ftype, AARCH64_BUILTIN_RSQRT_V4SF, BUILT_IN_MD, NULL, NULL_TREE);
>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF] = fndecl;
>> +}
>> +
>> +void
>> aarch64_init_builtins (void)
>> {
>>   tree ftype_set_fpr
>> @@ -848,6 +889,7 @@ aarch64_init_builtins (void)
>>     aarch64_init_simd_builtins ();
>>   if (TARGET_CRC32)
>>     aarch64_init_crc32_builtins ();
>> +  aarch64_add_builtin_rsqrt ();
>> }
>>
>> tree
>> @@ -1092,6 +1134,39 @@ aarch64_crc32_expand_builtin (int fcode, tree exp, rtx target)
>>   return target;
>> }
>>
>> +static rtx
>> +aarch64_expand_builtin_rsqrt (int fcode, tree exp, rtx target)
>> +{
>> +  rtx pat;
>> +  tree arg0 = CALL_EXPR_ARG (exp, 0);
>> +  rtx op0 = expand_normal (arg0);
>> +
>> +  enum insn_code c;
>> +
>> +  switch (fcode)
>> +    {
>> +      case AARCH64_BUILTIN_RSQRT_DF:
>> +        c = CODE_FOR_rsqrt_df2; break;
>> +      case AARCH64_BUILTIN_RSQRT_SF:
>> +        c = CODE_FOR_rsqrt_sf2; break;
>> +      case AARCH64_BUILTIN_RSQRT_V2DF:
>> +        c = CODE_FOR_rsqrt_v2df2; break;
>> +      case AARCH64_BUILTIN_RSQRT_V2SF:
>> +        c = CODE_FOR_rsqrt_v2sf2; break;
>> +      case AARCH64_BUILTIN_RSQRT_V4SF:
>> +        c = CODE_FOR_rsqrt_v4sf2; break;
>> +       default: gcc_unreachable ();
>> +    }
>> +
>> +  if (!target)
>> +    target = gen_reg_rtx (GET_MODE (op0));
>> +
>> +  pat = GEN_FCN (c) (target, op0);
>> +  emit_insn (pat);
>> +
>> +  return target;
>> +}
>> +
>> /* Expand an expression EXP that calls a built-in function,
>>    with result going to TARGET if that's convenient.  */
>> rtx
>> @@ -1139,6 +1214,13 @@ aarch64_expand_builtin (tree exp,
>>   else if (fcode >= AARCH64_CRC32_BUILTIN_BASE && fcode <= AARCH64_CRC32_BUILTIN_MAX)
>>     return aarch64_crc32_expand_builtin (fcode, exp, target);
>>
>> +  if (fcode == AARCH64_BUILTIN_RSQRT_DF
>> +      || fcode == AARCH64_BUILTIN_RSQRT_SF
>> +      || fcode == AARCH64_BUILTIN_RSQRT_V2DF
>> +      || fcode == AARCH64_BUILTIN_RSQRT_V2SF
>> +      || fcode == AARCH64_BUILTIN_RSQRT_V4SF)
>> +    return aarch64_expand_builtin_rsqrt (fcode, exp, target);
>> +
>>   gcc_unreachable ();
>> }
>>
>> @@ -1296,6 +1378,28 @@ aarch64_builtin_vectorized_function (tree fndecl, tree type_out, tree type_in)
>>   return NULL_TREE;
>> }
>>
>> +tree
>> +aarch64_builtin_rsqrt (unsigned int fn, bool md_fn)
>> +{
>> +  if (md_fn)
>> +    {
>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2df)
>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF];
>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2sf)
>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF];
>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv4sf)
>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF];
>> +    }
>> +  else
>> +    {
>> +      if (fn == BUILT_IN_SQRT)
>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF];
>> +      if (fn == BUILT_IN_SQRTF)
>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF];
>> +    }
>> +  return NULL_TREE;
>> +}
>> +
>> #undef VAR1
>> #define VAR1(T, N, MAP, A) \
>>   case AARCH64_SIMD_BUILTIN_##T##_##N##A:
>> diff --git a/gcc/config/aarch64/aarch64-opts.h b/gcc/config/aarch64/aarch64-opts.h
>> index 24bfd9f..75e9c67 100644
>> --- a/gcc/config/aarch64/aarch64-opts.h
>> +++ b/gcc/config/aarch64/aarch64-opts.h
>> @@ -64,4 +64,11 @@ enum aarch64_code_model {
>>   AARCH64_CMODEL_LARGE
>> };
>>
>> +/* Each core can have -mrecip enabled or disabled by default. */
>> +enum aarch64_mrecip {
>> +  AARCH64_MRECIP_OFF = 0,
>> +  AARCH64_MRECIP_ON,
>> +  AARCH64_MRECIP_DEFAULT,
>> +};
>> +
>> #endif
>> diff --git a/gcc/config/aarch64/aarch64-protos.h b/gcc/config/aarch64/aarch64-protos.h
>> index 4062c27..8b8a389 100644
>> --- a/gcc/config/aarch64/aarch64-protos.h
>> +++ b/gcc/config/aarch64/aarch64-protos.h
>> @@ -321,6 +321,8 @@ void aarch64_print_operand (FILE *, rtx, char);
>> void aarch64_print_operand_address (FILE *, rtx);
>> void aarch64_emit_call_insn (rtx);
>>
>> +void aarch64_emit_swrsqrt (rtx, rtx);
>> +
>> /* 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 b90f938..ae81731 100644
>> --- a/gcc/config/aarch64/aarch64-simd.md
>> +++ b/gcc/config/aarch64/aarch64-simd.md
>> @@ -353,6 +353,33 @@
>>   [(set_attr "type" "neon_fp_mul_d_scalar_q")]
>> )
>>
>> +(define_insn "rsqrte_<mode>2"
>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
>> +                  UNSPEC_RSQRTE))]
>> +  "TARGET_SIMD"
>> +  "frsqrte\\t%<v>0<Vmtype>, %<v>1<Vmtype>"
>> +  [(set_attr "type" "neon_fp_rsqrte_<Vetype><q>")])
>> +
>> +(define_insn "rsqrts_<mode>3"
>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")
>> +               (match_operand:VALLF 2 "register_operand" "w")]
>> +                  UNSPEC_RSQRTS))]
>> +  "TARGET_SIMD"
>> +  "frsqrts\\t%<v>0<Vmtype>, %<v>1<Vmtype>, %<v>2<Vmtype>"
>> +  [(set_attr "type" "neon_fp_rsqrts_<Vetype><q>")])
>> +
>> +(define_expand "rsqrt_<mode>2"
>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
>> +                  UNSPEC_RSQRT))]
>> +  "TARGET_SIMD"
>> +{
>> +  aarch64_emit_swrsqrt (operands[0], operands[1]);
>> +  DONE;
>> +})
>> +
>> (define_insn "*aarch64_mul3_elt_to_64v2df"
>>   [(set (match_operand:DF 0 "register_operand" "=w")
>>      (mult:DF
>> diff --git a/gcc/config/aarch64/aarch64-tuning-flags.def b/gcc/config/aarch64/aarch64-tuning-flags.def
>> index 01aaca8..97dbf00 100644
>> --- a/gcc/config/aarch64/aarch64-tuning-flags.def
>> +++ b/gcc/config/aarch64/aarch64-tuning-flags.def
>> @@ -31,4 +31,5 @@
>>      flags.  */
>>
>> AARCH64_EXTRA_TUNING_OPTION ("rename_fma_regs", RENAME_FMA_REGS, 0)
>> +AARCH64_EXTRA_TUNING_OPTION ("mrecip_default_enabled", MRECIP_DEFAULT_ENABLED, 1)
>>
>> diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
>> index 6c13a078..76c0eee 100644
>> --- a/gcc/config/aarch64/aarch64.c
>> +++ b/gcc/config/aarch64/aarch64.c
>> @@ -364,7 +364,7 @@ static const struct tune_params generic_tunings =
>>   1,  /* vec_reassoc_width.  */
>>   2,  /* min_div_recip_mul_sf.  */
>>   2,  /* min_div_recip_mul_df.  */
>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>> };
>>
>> static const struct tune_params cortexa53_tunings =
>> @@ -386,7 +386,7 @@ static const struct tune_params cortexa53_tunings =
>>   1,  /* vec_reassoc_width.  */
>>   2,  /* min_div_recip_mul_sf.  */
>>   2,  /* min_div_recip_mul_df.  */
>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>> };
>>
>> static const struct tune_params cortexa57_tunings =
>> @@ -408,7 +408,8 @@ static const struct tune_params cortexa57_tunings =
>>   1,  /* vec_reassoc_width.  */
>>   2,  /* min_div_recip_mul_sf.  */
>>   2,  /* min_div_recip_mul_df.  */
>> -  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS)       /* tune_flags.  */
>> +  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS        /* tune_flags.  */
>> +   | AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)
>> };
>>
>> static const struct tune_params cortexa72_tunings =
>> @@ -430,7 +431,7 @@ static const struct tune_params cortexa72_tunings =
>>   1,  /* vec_reassoc_width.  */
>>   2,  /* min_div_recip_mul_sf.  */
>>   2,  /* min_div_recip_mul_df.  */
>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>> };
>>
>> static const struct tune_params thunderx_tunings =
>> @@ -472,7 +473,7 @@ static const struct tune_params xgene1_tunings =
>>   1,  /* vec_reassoc_width.  */
>>   2,  /* min_div_recip_mul_sf.  */
>>   2,  /* min_div_recip_mul_df.  */
>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>> };
>>
>> /* Support for fine-grained override of the tuning structures.  */
>> @@ -6961,6 +6962,98 @@ aarch64_memory_move_cost (machine_mode mode ATTRIBUTE_UNUSED,
>>   return aarch64_tune_params.memmov_cost;
>> }
>>
>> +extern tree aarch64_builtin_rsqrt (unsigned int fn, bool md_fn);
>> +
>> +static tree
>> +aarch64_builtin_reciprocal (unsigned int fn,
>> +                            bool md_fn,
>> +                            bool)
>> +{
>> +  if (!flag_finite_math_only
>> +      || flag_trapping_math
>> +      || !flag_unsafe_math_optimizations
>> +      || optimize_size
>> +      || flag_mrecip == AARCH64_MRECIP_OFF
>> +      || (flag_mrecip == AARCH64_MRECIP_DEFAULT
>> +          && !(aarch64_tune_params.extra_tuning_flags
>> +               & AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)))
>> +  {
>> +    return NULL_TREE;
>> +  }
>> +
>> +  return aarch64_builtin_rsqrt (fn, md_fn);
>> +}
>> +
>> +typedef rtx (*rsqrte_type) (rtx, rtx);
>> +
>> +rsqrte_type get_rsqrte_type (enum machine_mode mode)
>> +{
>> +  switch (mode)
>> +  {
>> +    case DFmode:   return gen_rsqrte_df2;
>> +    case SFmode:   return gen_rsqrte_sf2;
>> +    case V2DFmode: return gen_rsqrte_v2df2;
>> +    case V2SFmode: return gen_rsqrte_v2sf2;
>> +    case V4SFmode: return gen_rsqrte_v4sf2;
>> +    default: gcc_unreachable ();
>> +  }
>> +}
>> +
>> +typedef rtx (*rsqrts_type) (rtx, rtx, rtx);
>> +
>> +rsqrts_type get_rsqrts_type (enum machine_mode mode)
>> +{
>> +  switch (mode)
>> +  {
>> +    case DFmode:   return gen_rsqrts_df3;
>> +    case SFmode:   return gen_rsqrts_sf3;
>> +    case V2DFmode: return gen_rsqrts_v2df3;
>> +    case V2SFmode: return gen_rsqrts_v2sf3;
>> +    case V4SFmode: return gen_rsqrts_v4sf3;
>> +    default: gcc_unreachable ();
>> +  }
>> +}
>> +
>> +void
>> +aarch64_emit_swrsqrt (rtx dst, rtx src)
>> +{
>> +  enum 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);
>> +
>> +  emit_insn ((*get_rsqrte_type (mode)) (x0, xsrc));
>> +
>> +  bool double_mode = (mode == DFmode || mode == V2DFmode);
>> +
>> +  int iterations = 2;
>> +  if (double_mode)
>> +    iterations = 3;
>> +
>> +  if (flag_mrecip_low_precision_sqrt)
>> +    iterations--;
>> +
>> +  for (int i = 0; i < iterations; ++i)
>> +    {
>> +      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_insn ((*get_rsqrts_type (mode)) (x3, xsrc, x2));
>> +
>> +      emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
>> +      x0 = x1;
>> +    }
>> +
>> +  emit_move_insn (dst, x0);
>> +  return;
>> +}
>> +
>> /* Return the number of instructions that can be issued per cycle.  */
>> static int
>> aarch64_sched_issue_rate (void)
>> @@ -12099,6 +12192,9 @@ aarch64_unspec_may_trap_p (const_rtx x, unsigned flags)
>> #undef TARGET_USE_BLOCKS_FOR_CONSTANT_P
>> #define TARGET_USE_BLOCKS_FOR_CONSTANT_P aarch64_use_blocks_for_constant_p
>>
>> +#undef TARGET_BUILTIN_RECIPROCAL
>> +#define TARGET_BUILTIN_RECIPROCAL aarch64_builtin_reciprocal
>> +
>> #undef TARGET_VECTOR_MODE_SUPPORTED_P
>> #define TARGET_VECTOR_MODE_SUPPORTED_P aarch64_vector_mode_supported_p
>>
>> diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
>> index 1e343fa..d7944b2 100644
>> --- a/gcc/config/aarch64/aarch64.md
>> +++ b/gcc/config/aarch64/aarch64.md
>> @@ -122,6 +122,9 @@
>>     UNSPEC_VSTRUCTDUMMY
>>     UNSPEC_SP_SET
>>     UNSPEC_SP_TEST
>> +    UNSPEC_RSQRT
>> +    UNSPEC_RSQRTE
>> +    UNSPEC_RSQRTS
>> ])
>>
>> (define_c_enum "unspecv" [
>> diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
>> index 98ef9f6..7921b85 100644
>> --- a/gcc/config/aarch64/aarch64.opt
>> +++ b/gcc/config/aarch64/aarch64.opt
>> @@ -124,3 +124,11 @@ Enum(aarch64_abi) String(ilp32) Value(AARCH64_ABI_ILP32)
>>
>> EnumValue
>> Enum(aarch64_abi) String(lp64) Value(AARCH64_ABI_LP64)
>> +
>> +mrecip
>> +Common Report Var(flag_mrecip) Optimization Init(AARCH64_MRECIP_DEFAULT)
>> +Generate software reciprocal square root for better throughput.
>> +
>> +mlow-precision-recip-sqrt
>> +Common Var(flag_mrecip_low_precision_sqrt) Optimization
>> +Run fewer approximation steps to reduce latency and precision.
>> diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
>> index b28e5d6..bd922a3 100644
>> --- a/gcc/doc/invoke.texi
>> +++ b/gcc/doc/invoke.texi
>> @@ -515,6 +515,8 @@ Objective-C and Objective-C++ Dialects}.
>> -mtls-dialect=desc  -mtls-dialect=traditional @gol
>> -mfix-cortex-a53-835769  -mno-fix-cortex-a53-835769 @gol
>> -mfix-cortex-a53-843419  -mno-fix-cortex-a53-843419 @gol
>> +-mrecip -mno-recip @gol
>> +-mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
>> -march=@var{name}  -mcpu=@var{name}  -mtune=@var{name}}
>>
>> @emph{Adapteva Epiphany Options}
>> @@ -12426,6 +12428,23 @@ Enable or disable the workaround for the ARM Cortex-A53 erratum number 843419.
>> This erratum workaround is made at link time and this will only pass the
>> corresponding flag to the linker.
>>
>> +@item -mrecip
>> +@item -mno-recip
>> +@opindex mrecip
>> +@opindex mno-recip
>> +This option enables use of the
>> +reciprocal square root estimate instructions with additional
>> +Newton-Raphson steps to increase precision instead of doing a square root and
>> +divide for floating-point arguments.
>> +It can only be used together with @option{-ffast-math}.
>> +
>> +@item -mlow-precision-recip-sqrt
>> +@item -mno-low-precision-recip-sqrt
>> +@opindex -mlow-precision-recip-sqrt
>> +@opindex -mno-low-precision-recip-sqrt
>> +The square root estimate uses two steps instead of three for double-precision,
>> +and one step instead of two for single-precision. Thus reducing latency and precision.
>> +
>> @item -march=@var{name}
>> @opindex march
>> Specify the name of the target architecture, optionally suffixed by one or
>> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>> new file mode 100644
>> index 0000000..d6cfe11
>> --- /dev/null
>> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>> @@ -0,0 +1,63 @@
>> +/* { dg-do compile } */
>> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
>> +
>> +#include <math.h>
>> +
>> +#define sqrt_float   __builtin_sqrtf
>> +#define sqrt_double  __builtin_sqrt
>> +
>> +#define TESTTYPE(TYPE)                                          \
>> +typedef struct {                                                \
>> +  TYPE a;                                                       \
>> +  TYPE b;                                                       \
>> +  TYPE c;                                                       \
>> +  TYPE d;                                                       \
>> +} s4_##TYPE;                                                    \
>> +                                                                \
>> +typedef struct {                                                \
>> +  TYPE a;                                                       \
>> +  TYPE b;                                                       \
>> +} s2_##TYPE;                                                    \
>> +                                                                \
>> +s4_##TYPE rsqrtv4_##TYPE (s4_##TYPE i)                          \
>> +{                                                               \
>> +  s4_##TYPE o;                                                  \
>> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
>> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
>> +  o.c = 1.0 / sqrt_##TYPE (i.c);                                \
>> +  o.d = 1.0 / sqrt_##TYPE (i.d);                                \
>> +  return o;                                                     \
>> +}                                                               \
>> +                                                                \
>> +s2_##TYPE rsqrtv2_##TYPE (s2_##TYPE i)                          \
>> +{                                                               \
>> +  s2_##TYPE o;                                                  \
>> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
>> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
>> +  return o;                                                     \
>> +}                                                               \
>> +                                                                \
>> +TYPE rsqrt_##TYPE (TYPE i)                                      \
>> +{                                                               \
>> +  return 1.0 / sqrt_##TYPE (i);                                 \
>> +}                                                               \
>> +                                                                \
>> +
>> +TESTTYPE(double)
>> +TESTTYPE(float)
>> +
>> +/* { dg-final { scan-assembler-times "frsqrte\\td\[0-9\]+, d\[0-9\]+" 1 } } */
>> +/* { dg-final { scan-assembler-times "frsqrts\\td\[0-9\]+, d\[0-9\]+, d\[0-9\]+" 3 } } */
>> +
>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2d, v\[0-9\]+.2d" 3 } } */
>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2d, v\[0-9\]+.2d, v\[0-9\]+.2d" 9 } } */
>> +
>> +
>> +/* { dg-final { scan-assembler-times "frsqrte\\ts\[0-9\]+, s\[0-9\]+" 1 } } */
>> +/* { dg-final { scan-assembler-times "frsqrts\\ts\[0-9\]+, s\[0-9\]+, s\[0-9\]+" 2 } } */
>> +
>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.4s, v\[0-9\]+.4s" 1 } } */
>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.4s, v\[0-9\]+.4s, v\[0-9\]+.4s" 2 } } */
>> +
>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2s, v\[0-9\]+.2s" 1 } } */
>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2s, v\[0-9\]+.2s, v\[0-9\]+.2s" 2 } } */
>> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt.c b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
>> new file mode 100644
>> index 0000000..4a5c008
>> --- /dev/null
>> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
>> @@ -0,0 +1,107 @@
>> +/* { dg-do run } */
>> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
>> +
>> +#include <math.h>
>> +#include <stdio.h>
>> +
>> +#include <float.h>
>> +
>> +#define PI    3.141592653589793
>> +#define SQRT2 1.4142135623730951
>> +
>> +#define PI_4 0.7853981633974483
>> +#define SQRT1_2 0.7071067811865475
>> +
>> +/* 2^25+1, float has 24 significand bits
>> + *       according to Single-precision floating-point format.  */
>> +#define TESTA8_FLT 33554433
>> +/* 2^54+1, double has 53 significand bits
>> + *       according to Double-precision floating-point format.  */
>> +#define TESTA8_DBL 18014398509481985
>> +
>> +#define SD(a, b) t_double ((#a), (a), (b));
>> +#define SF(a, b) t_float ((#a), (a), (b));
>> +
>> +#define EPSILON_double __DBL_EPSILON__
>> +#define EPSILON_float __FLT_EPSILON__
>> +#define ABS_double __builtin_fabs
>> +#define ABS_float __builtin_fabsf
>> +#define SQRT_double __builtin_sqrt
>> +#define SQRT_float __builtin_sqrtf
>> +
>> +extern void abort (void);
>> +
>> +#define TESTTYPE(TYPE)                                                     \
>> +TYPE rsqrt_##TYPE (TYPE a)                                                 \
>> +{                                                                          \
>> +  return 1.0/SQRT_##TYPE(a);                                               \
>> +}                                                                          \
>> +                                                                           \
>> +int equals_##TYPE (TYPE a, TYPE b)                                         \
>> +{                                                                          \
>> +  return (a == b ||                                                        \
>> +          (isnan (a) && isnan (b)) ||                                      \
>> +          (ABS_##TYPE (a - b) < EPSILON_##TYPE));                          \
>> +}                                                                          \
>> +                                                                           \
>> +void t_##TYPE (const char *s, TYPE a, TYPE result)                         \
>> +{                                                                          \
>> +  TYPE r = rsqrt_##TYPE (a);                                               \
>> +  if (!equals_##TYPE (r, result))                                          \
>> +  {                                                                        \
>> +    abort ();                                                              \
>> +  }                                                                        \
>> +}                                                                          \
>> +
>> +//  printf ("Problem in %20s: %30.18A should be %30.18A\n", s, r, result); \
>> +
>> +TESTTYPE(double)
>> +TESTTYPE(float)
>> +
>> +int main ()
>> +{
>> +  SD(    1.0/256, 0X1.00000000000000P+4  );
>> +  SD(        1.0, 0X1.00000000000000P+0  );
>> +  SD(       -1.0,                     NAN);
>> +  SD(       11.0, 0X1.34BF63D1568260P-2  );
>> +  SD(        0.0,                INFINITY);
>> +  SD(   INFINITY, 0X0.00000000000000P+0  );
>> +  SD(        NAN,                     NAN);
>> +  SD(       -NAN,                    -NAN);
>> +  SD(    DBL_MAX, 0X1.00000000000010P-512);
>> +  SD(    DBL_MIN, 0X1.00000000000000P+511);
>> +  SD(         PI, 0X1.20DD750429B6D0P-1  );
>> +  SD(       PI_4, 0X1.20DD750429B6D0P+0  );
>> +  SD(      SQRT2, 0X1.AE89F995AD3AE0P-1  );
>> +  SD(    SQRT1_2, 0X1.306FE0A31B7150P+0  );
>> +  SD(        -PI,                     NAN);
>> +  SD(     -SQRT2,                     NAN);
>> +  SD( TESTA8_DBL, 0X1.00000000000000P-27 );
>> +
>> +  SF(    1.0/256, 0X1.00000000000000P+4  );
>> +  SF(        1.0, 0X1.00000000000000P+0  );
>> +  SF(       -1.0,                     NAN);
>> +  SF(       11.0, 0X1.34BF6400000000P-2  );
>> +  SF(        0.0,                INFINITY);
>> +  SF(   INFINITY, 0X0.00000000000000P+0  );
>> +  SF(        NAN,                     NAN);
>> +  SF(       -NAN,                    -NAN);
>> +  SF(    FLT_MAX, 0X1.00000200000000P-64 );
>> +  SF(    FLT_MIN, 0X1.00000000000000P+63 );
>> +  SF(         PI, 0X1.20DD7400000000P-1  );
>> +  SF(       PI_4, 0X1.20DD7400000000P+0  );
>> +  SF(      SQRT2, 0X1.AE89FA00000000P-1  );
>> +  SF(    SQRT1_2, 0X1.306FE000000000P+0  );
>> +  SF(        -PI,                     NAN);
>> +  SF(     -SQRT2,                     NAN);
>> +  SF( TESTA8_FLT, 0X1.6A09E600000000P-13 );
>> +
>> +//   With -ffast-math these return positive INF.
>> +//   SD(       -0.0,               -INFINITY);
>> +//   SF(       -0.0,               -INFINITY);
>> +//   The reason here is that -ffast-math flushes to zero.
>> +//   SD(DBL_MIN/256, 0X1.00000000000000P+515);
>> +//   SF(FLT_MIN/256, 0X1.00000000000000P+67 );
>> +
>> +  return 0;
>> +}
>> --
>> 1.9.1
>>
>
Andrew Pinski Sept. 3, 2015, 4:16 p.m. UTC | #3
> On Sep 3, 2015, at 11:58 PM, Sebastian Pop <sebpop@gmail.com> wrote:
> 
> On Wed, Aug 26, 2015 at 11:58 AM, Benedikt Huber
> <benedikt.huber@theobroma-systems.com> wrote:
>> ping
>> 
>> [PATCH v4][aarch64] Implemented reciprocal square root (rsqrt) estimation in -ffast-math
>> 
>> https://gcc.gnu.org/ml/gcc-patches/2015-07/msg02698.html
>> 
>>> On 31 Jul 2015, at 19:05, Benedikt Huber <benedikt.huber@theobroma-systems.com> wrote:
>>> 
>>>      * config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
>>>      rsqrtf.
>>>      * config/aarch64/aarch64-opts.h: -mrecip has a default value
>>>      depending on the core.
>>>      * config/aarch64/aarch64-protos.h: Declare.
>>>      * config/aarch64/aarch64-simd.md: Matching expressions for
>>>      frsqrte and frsqrts.
>>>      * config/aarch64/aarch64-tuning-flags.def: Added
>>>      MRECIP_DEFAULT_ENABLED.
>>>      * config/aarch64/aarch64.c: New functions. Emit rsqrt
>>>      estimation code in fast math mode.
>>>      * config/aarch64/aarch64.md: Added enum entries.
>>>      * config/aarch64/aarch64.opt: Added options -mrecip and
>>>      -mlow-precision-recip-sqrt.
>>>      * testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
>>>      for frsqrte and frsqrts
>>>      * testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
> 
> The patch looks good to me.
> You will need an ARM/AArch64 maintainer to approve your patch: +Ramana

Except it is missing comments before almost all new functions.  Yes aarch64 backend does not follow that rule but that does not mean you should not either. 

Thanks,
Andrew

> 
> Thanks,
> Sebastian
> 
>>> 
>>> Signed-off-by: Philipp Tomsich <philipp.tomsich@theobroma-systems.com>
>>> ---
>>> gcc/ChangeLog                                      |  21 ++++
>>> gcc/config/aarch64/aarch64-builtins.c              | 104 ++++++++++++++++++++
>>> gcc/config/aarch64/aarch64-opts.h                  |   7 ++
>>> gcc/config/aarch64/aarch64-protos.h                |   2 +
>>> gcc/config/aarch64/aarch64-simd.md                 |  27 ++++++
>>> gcc/config/aarch64/aarch64-tuning-flags.def        |   1 +
>>> gcc/config/aarch64/aarch64.c                       | 106 +++++++++++++++++++-
>>> gcc/config/aarch64/aarch64.md                      |   3 +
>>> gcc/config/aarch64/aarch64.opt                     |   8 ++
>>> gcc/doc/invoke.texi                                |  19 ++++
>>> gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c |  63 ++++++++++++
>>> gcc/testsuite/gcc.target/aarch64/rsqrt.c           | 107 +++++++++++++++++++++
>>> 12 files changed, 463 insertions(+), 5 deletions(-)
>>> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>>> create mode 100644 gcc/testsuite/gcc.target/aarch64/rsqrt.c
>>> 
>>> diff --git a/gcc/ChangeLog b/gcc/ChangeLog
>>> index 3432adb..3bf3098 100644
>>> --- a/gcc/ChangeLog
>>> +++ b/gcc/ChangeLog
>>> @@ -1,3 +1,24 @@
>>> +2015-07-31  Benedikt Huber  <benedikt.huber@theobroma-systems.com>
>>> +         Philipp Tomsich  <philipp.tomsich@theobroma-systems.com>
>>> +
>>> +     * config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
>>> +     rsqrtf.
>>> +     * config/aarch64/aarch64-opts.h: -mrecip has a default value
>>> +     depending on the core.
>>> +     * config/aarch64/aarch64-protos.h: Declare.
>>> +     * config/aarch64/aarch64-simd.md: Matching expressions for
>>> +     frsqrte and frsqrts.
>>> +     * config/aarch64/aarch64-tuning-flags.def: Added
>>> +     MRECIP_DEFAULT_ENABLED.
>>> +     * config/aarch64/aarch64.c: New functions. Emit rsqrt
>>> +     estimation code in fast math mode.
>>> +     * config/aarch64/aarch64.md: Added enum entries.
>>> +     * config/aarch64/aarch64.opt: Added options -mrecip and
>>> +     -mlow-precision-recip-sqrt.
>>> +     * testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
>>> +     for frsqrte and frsqrts
>>> +     * testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
>>> +
>>> 2015-07-08  Jiong Wang  <jiong.wang@arm.com>
>>> 
>>>      * config/aarch64/aarch64.c (aarch64_unspec_may_trap_p): New function.
>>> diff --git a/gcc/config/aarch64/aarch64-builtins.c b/gcc/config/aarch64/aarch64-builtins.c
>>> index b6c89b9..b4f443c 100644
>>> --- a/gcc/config/aarch64/aarch64-builtins.c
>>> +++ b/gcc/config/aarch64/aarch64-builtins.c
>>> @@ -335,6 +335,11 @@ enum aarch64_builtins
>>>  AARCH64_BUILTIN_GET_FPSR,
>>>  AARCH64_BUILTIN_SET_FPSR,
>>> 
>>> +  AARCH64_BUILTIN_RSQRT_DF,
>>> +  AARCH64_BUILTIN_RSQRT_SF,
>>> +  AARCH64_BUILTIN_RSQRT_V2DF,
>>> +  AARCH64_BUILTIN_RSQRT_V2SF,
>>> +  AARCH64_BUILTIN_RSQRT_V4SF,
>>>  AARCH64_SIMD_BUILTIN_BASE,
>>>  AARCH64_SIMD_BUILTIN_LANE_CHECK,
>>> #include "aarch64-simd-builtins.def"
>>> @@ -824,6 +829,42 @@ aarch64_init_crc32_builtins ()
>>> }
>>> 
>>> void
>>> +aarch64_add_builtin_rsqrt (void)

Here. 

>>> +{
>>> +  tree fndecl = NULL;
>>> +  tree ftype = NULL;
>>> +
>>> +  tree V2SF_type_node = build_vector_type (float_type_node, 2);
>>> +  tree V2DF_type_node = build_vector_type (double_type_node, 2);
>>> +  tree V4SF_type_node = build_vector_type (float_type_node, 4);
>>> +
>>> +  ftype = build_function_type_list (double_type_node, double_type_node, NULL_TREE);
>>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_df",
>>> +    ftype, AARCH64_BUILTIN_RSQRT_DF, BUILT_IN_MD, NULL, NULL_TREE);
>>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF] = fndecl;
>>> +
>>> +  ftype = build_function_type_list (float_type_node, float_type_node, NULL_TREE);
>>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_sf",
>>> +    ftype, AARCH64_BUILTIN_RSQRT_SF, BUILT_IN_MD, NULL, NULL_TREE);
>>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF] = fndecl;
>>> +
>>> +  ftype = build_function_type_list (V2DF_type_node, V2DF_type_node, NULL_TREE);
>>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2df",
>>> +    ftype, AARCH64_BUILTIN_RSQRT_V2DF, BUILT_IN_MD, NULL, NULL_TREE);
>>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF] = fndecl;
>>> +
>>> +  ftype = build_function_type_list (V2SF_type_node, V2SF_type_node, NULL_TREE);
>>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2sf",
>>> +    ftype, AARCH64_BUILTIN_RSQRT_V2SF, BUILT_IN_MD, NULL, NULL_TREE);
>>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF] = fndecl;
>>> +
>>> +  ftype = build_function_type_list (V4SF_type_node, V4SF_type_node, NULL_TREE);
>>> +  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v4sf",
>>> +    ftype, AARCH64_BUILTIN_RSQRT_V4SF, BUILT_IN_MD, NULL, NULL_TREE);
>>> +  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF] = fndecl;
>>> +}
>>> +
>>> +void
>>> aarch64_init_builtins (void)
>>> {
>>>  tree ftype_set_fpr
>>> @@ -848,6 +889,7 @@ aarch64_init_builtins (void)
>>>    aarch64_init_simd_builtins ();
>>>  if (TARGET_CRC32)
>>>    aarch64_init_crc32_builtins ();
>>> +  aarch64_add_builtin_rsqrt ();
>>> }
>>> 
>>> tree
>>> @@ -1092,6 +1134,39 @@ aarch64_crc32_expand_builtin (int fcode, tree exp, rtx target)
>>>  return target;
>>> }
>>> 
>>> +static rtx
>>> +aarch64_expand_builtin_rsqrt (int fcode, tree exp, rtx target)
>>> +{

Likewise. 


>>> +  rtx pat;
>>> +  tree arg0 = CALL_EXPR_ARG (exp, 0);
>>> +  rtx op0 = expand_normal (arg0);
>>> +
>>> +  enum insn_code c;
>>> +
>>> +  switch (fcode)
>>> +    {
>>> +      case AARCH64_BUILTIN_RSQRT_DF:
>>> +        c = CODE_FOR_rsqrt_df2; break;
>>> +      case AARCH64_BUILTIN_RSQRT_SF:
>>> +        c = CODE_FOR_rsqrt_sf2; break;
>>> +      case AARCH64_BUILTIN_RSQRT_V2DF:
>>> +        c = CODE_FOR_rsqrt_v2df2; break;
>>> +      case AARCH64_BUILTIN_RSQRT_V2SF:
>>> +        c = CODE_FOR_rsqrt_v2sf2; break;
>>> +      case AARCH64_BUILTIN_RSQRT_V4SF:
>>> +        c = CODE_FOR_rsqrt_v4sf2; break;
>>> +       default: gcc_unreachable ();
>>> +    }
>>> +
>>> +  if (!target)
>>> +    target = gen_reg_rtx (GET_MODE (op0));
>>> +
>>> +  pat = GEN_FCN (c) (target, op0);
>>> +  emit_insn (pat);
>>> +
>>> +  return target;
>>> +}
>>> +
>>> /* Expand an expression EXP that calls a built-in function,
>>>   with result going to TARGET if that's convenient.  */
>>> rtx
>>> @@ -1139,6 +1214,13 @@ aarch64_expand_builtin (tree exp,
>>>  else if (fcode >= AARCH64_CRC32_BUILTIN_BASE && fcode <= AARCH64_CRC32_BUILTIN_MAX)
>>>    return aarch64_crc32_expand_builtin (fcode, exp, target);
>>> 
>>> +  if (fcode == AARCH64_BUILTIN_RSQRT_DF
>>> +      || fcode == AARCH64_BUILTIN_RSQRT_SF
>>> +      || fcode == AARCH64_BUILTIN_RSQRT_V2DF
>>> +      || fcode == AARCH64_BUILTIN_RSQRT_V2SF
>>> +      || fcode == AARCH64_BUILTIN_RSQRT_V4SF)
>>> +    return aarch64_expand_builtin_rsqrt (fcode, exp, target);
>>> +
>>>  gcc_unreachable ();
>>> }
>>> 
>>> @@ -1296,6 +1378,28 @@ aarch64_builtin_vectorized_function (tree fndecl, tree type_out, tree type_in)
>>>  return NULL_TREE;
>>> }
>>> 
>>> +tree
>>> +aarch64_builtin_rsqrt (unsigned int fn, bool md_fn)
>>> +{

And here. 

>>> +  if (md_fn)
>>> +    {
>>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2df)
>>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF];
>>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2sf)
>>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF];
>>> +      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv4sf)
>>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF];
>>> +    }
>>> +  else
>>> +    {
>>> +      if (fn == BUILT_IN_SQRT)
>>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF];
>>> +      if (fn == BUILT_IN_SQRTF)
>>> +        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF];
>>> +    }
>>> +  return NULL_TREE;
>>> +}
>>> +
>>> #undef VAR1
>>> #define VAR1(T, N, MAP, A) \
>>>  case AARCH64_SIMD_BUILTIN_##T##_##N##A:
>>> diff --git a/gcc/config/aarch64/aarch64-opts.h b/gcc/config/aarch64/aarch64-opts.h
>>> index 24bfd9f..75e9c67 100644
>>> --- a/gcc/config/aarch64/aarch64-opts.h
>>> +++ b/gcc/config/aarch64/aarch64-opts.h
>>> @@ -64,4 +64,11 @@ enum aarch64_code_model {
>>>  AARCH64_CMODEL_LARGE
>>> };
>>> 
>>> +/* Each core can have -mrecip enabled or disabled by default. */
>>> +enum aarch64_mrecip {
>>> +  AARCH64_MRECIP_OFF = 0,
>>> +  AARCH64_MRECIP_ON,
>>> +  AARCH64_MRECIP_DEFAULT,
>>> +};
>>> +
>>> #endif
>>> diff --git a/gcc/config/aarch64/aarch64-protos.h b/gcc/config/aarch64/aarch64-protos.h
>>> index 4062c27..8b8a389 100644
>>> --- a/gcc/config/aarch64/aarch64-protos.h
>>> +++ b/gcc/config/aarch64/aarch64-protos.h
>>> @@ -321,6 +321,8 @@ void aarch64_print_operand (FILE *, rtx, char);
>>> void aarch64_print_operand_address (FILE *, rtx);
>>> void aarch64_emit_call_insn (rtx);
>>> 
>>> +void aarch64_emit_swrsqrt (rtx, rtx);
>>> +
>>> /* 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 b90f938..ae81731 100644
>>> --- a/gcc/config/aarch64/aarch64-simd.md
>>> +++ b/gcc/config/aarch64/aarch64-simd.md
>>> @@ -353,6 +353,33 @@
>>>  [(set_attr "type" "neon_fp_mul_d_scalar_q")]
>>> )
>>> 
>>> +(define_insn "rsqrte_<mode>2"
>>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
>>> +                  UNSPEC_RSQRTE))]
>>> +  "TARGET_SIMD"
>>> +  "frsqrte\\t%<v>0<Vmtype>, %<v>1<Vmtype>"
>>> +  [(set_attr "type" "neon_fp_rsqrte_<Vetype><q>")])
>>> +
>>> +(define_insn "rsqrts_<mode>3"
>>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")
>>> +               (match_operand:VALLF 2 "register_operand" "w")]
>>> +                  UNSPEC_RSQRTS))]
>>> +  "TARGET_SIMD"
>>> +  "frsqrts\\t%<v>0<Vmtype>, %<v>1<Vmtype>, %<v>2<Vmtype>"
>>> +  [(set_attr "type" "neon_fp_rsqrts_<Vetype><q>")])
>>> +
>>> +(define_expand "rsqrt_<mode>2"
>>> +  [(set (match_operand:VALLF 0 "register_operand" "=w")
>>> +     (unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
>>> +                  UNSPEC_RSQRT))]
>>> +  "TARGET_SIMD"
>>> +{
>>> +  aarch64_emit_swrsqrt (operands[0], operands[1]);
>>> +  DONE;
>>> +})
>>> +
>>> (define_insn "*aarch64_mul3_elt_to_64v2df"
>>>  [(set (match_operand:DF 0 "register_operand" "=w")
>>>     (mult:DF
>>> diff --git a/gcc/config/aarch64/aarch64-tuning-flags.def b/gcc/config/aarch64/aarch64-tuning-flags.def
>>> index 01aaca8..97dbf00 100644
>>> --- a/gcc/config/aarch64/aarch64-tuning-flags.def
>>> +++ b/gcc/config/aarch64/aarch64-tuning-flags.def
>>> @@ -31,4 +31,5 @@
>>>     flags.  */
>>> 
>>> AARCH64_EXTRA_TUNING_OPTION ("rename_fma_regs", RENAME_FMA_REGS, 0)
>>> +AARCH64_EXTRA_TUNING_OPTION ("mrecip_default_enabled", MRECIP_DEFAULT_ENABLED, 1)
>>> 
>>> diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
>>> index 6c13a078..76c0eee 100644
>>> --- a/gcc/config/aarch64/aarch64.c
>>> +++ b/gcc/config/aarch64/aarch64.c
>>> @@ -364,7 +364,7 @@ static const struct tune_params generic_tunings =
>>>  1,  /* vec_reassoc_width.  */
>>>  2,  /* min_div_recip_mul_sf.  */
>>>  2,  /* min_div_recip_mul_df.  */
>>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>>> };
>>> 
>>> static const struct tune_params cortexa53_tunings =
>>> @@ -386,7 +386,7 @@ static const struct tune_params cortexa53_tunings =
>>>  1,  /* vec_reassoc_width.  */
>>>  2,  /* min_div_recip_mul_sf.  */
>>>  2,  /* min_div_recip_mul_df.  */
>>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>>> };
>>> 
>>> static const struct tune_params cortexa57_tunings =
>>> @@ -408,7 +408,8 @@ static const struct tune_params cortexa57_tunings =
>>>  1,  /* vec_reassoc_width.  */
>>>  2,  /* min_div_recip_mul_sf.  */
>>>  2,  /* min_div_recip_mul_df.  */
>>> -  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS)       /* tune_flags.  */
>>> +  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS        /* tune_flags.  */
>>> +   | AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)
>>> };
>>> 
>>> static const struct tune_params cortexa72_tunings =
>>> @@ -430,7 +431,7 @@ static const struct tune_params cortexa72_tunings =
>>>  1,  /* vec_reassoc_width.  */
>>>  2,  /* min_div_recip_mul_sf.  */
>>>  2,  /* min_div_recip_mul_df.  */
>>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>>> };
>>> 
>>> static const struct tune_params thunderx_tunings =
>>> @@ -472,7 +473,7 @@ static const struct tune_params xgene1_tunings =
>>>  1,  /* vec_reassoc_width.  */
>>>  2,  /* min_div_recip_mul_sf.  */
>>>  2,  /* min_div_recip_mul_df.  */
>>> -  (AARCH64_EXTRA_TUNE_NONE)  /* tune_flags.  */
>>> +  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)        /* tune_flags.  */
>>> };
>>> 
>>> /* Support for fine-grained override of the tuning structures.  */
>>> @@ -6961,6 +6962,98 @@ aarch64_memory_move_cost (machine_mode mode ATTRIBUTE_UNUSED,
>>>  return aarch64_tune_params.memmov_cost;
>>> }
>>> 
>>> +extern tree aarch64_builtin_rsqrt (unsigned int fn, bool md_fn);

Why isn't that in a header file instead of here?

>>> +
>>> +static tree
>>> +aarch64_builtin_reciprocal (unsigned int fn,
>>> +                            bool md_fn,
>>> +                            bool)

And here. 

>>> +{
>>> +  if (!flag_finite_math_only
>>> +      || flag_trapping_math
>>> +      || !flag_unsafe_math_optimizations
>>> +      || optimize_size
>>> +      || flag_mrecip == AARCH64_MRECIP_OFF
>>> +      || (flag_mrecip == AARCH64_MRECIP_DEFAULT
>>> +          && !(aarch64_tune_params.extra_tuning_flags
>>> +               & AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)))
>>> +  {
>>> +    return NULL_TREE;
>>> +  }
>>> +
>>> +  return aarch64_builtin_rsqrt (fn, md_fn);
>>> +}
>>> +
>>> +typedef rtx (*rsqrte_type) (rtx, rtx);
>>> +
>>> +rsqrte_type get_rsqrte_type (enum machine_mode mode)
>>> +{

And another one. 


>>> +  switch (mode)
>>> +  {
>>> +    case DFmode:   return gen_rsqrte_df2;
>>> +    case SFmode:   return gen_rsqrte_sf2;
>>> +    case V2DFmode: return gen_rsqrte_v2df2;
>>> +    case V2SFmode: return gen_rsqrte_v2sf2;
>>> +    case V4SFmode: return gen_rsqrte_v4sf2;
>>> +    default: gcc_unreachable ();
>>> +  }
>>> +}
>>> +
>>> +typedef rtx (*rsqrts_type) (rtx, rtx, rtx);
>>> +
>>> +rsqrts_type get_rsqrts_type (enum machine_mode mode)

And another one. 

>>> +{
>>> +  switch (mode)
>>> +  {
>>> +    case DFmode:   return gen_rsqrts_df3;
>>> +    case SFmode:   return gen_rsqrts_sf3;
>>> +    case V2DFmode: return gen_rsqrts_v2df3;
>>> +    case V2SFmode: return gen_rsqrts_v2sf3;
>>> +    case V4SFmode: return gen_rsqrts_v4sf3;
>>> +    default: gcc_unreachable ();
>>> +  }
>>> +}
>>> +
>>> +void
>>> +aarch64_emit_swrsqrt (rtx dst, rtx src)
>>> +{

One more. 

>>> +  enum 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);
>>> +
>>> +  emit_insn ((*get_rsqrte_type (mode)) (x0, xsrc));
>>> +
>>> +  bool double_mode = (mode == DFmode || mode == V2DFmode);
>>> +
>>> +  int iterations = 2;
>>> +  if (double_mode)
>>> +    iterations = 3;
>>> +
>>> +  if (flag_mrecip_low_precision_sqrt)
>>> +    iterations--;
>>> +
>>> +  for (int i = 0; i < iterations; ++i)
>>> +    {
>>> +      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_insn ((*get_rsqrts_type (mode)) (x3, xsrc, x2));
>>> +
>>> +      emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
>>> +      x0 = x1;
>>> +    }
>>> +
>>> +  emit_move_insn (dst, x0);
>>> +  return;
>>> +}
>>> +
>>> /* Return the number of instructions that can be issued per cycle.  */
>>> static int
>>> aarch64_sched_issue_rate (void)
>>> @@ -12099,6 +12192,9 @@ aarch64_unspec_may_trap_p (const_rtx x, unsigned flags)
>>> #undef TARGET_USE_BLOCKS_FOR_CONSTANT_P
>>> #define TARGET_USE_BLOCKS_FOR_CONSTANT_P aarch64_use_blocks_for_constant_p
>>> 
>>> +#undef TARGET_BUILTIN_RECIPROCAL
>>> +#define TARGET_BUILTIN_RECIPROCAL aarch64_builtin_reciprocal
>>> +
>>> #undef TARGET_VECTOR_MODE_SUPPORTED_P
>>> #define TARGET_VECTOR_MODE_SUPPORTED_P aarch64_vector_mode_supported_p
>>> 
>>> diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
>>> index 1e343fa..d7944b2 100644
>>> --- a/gcc/config/aarch64/aarch64.md
>>> +++ b/gcc/config/aarch64/aarch64.md
>>> @@ -122,6 +122,9 @@
>>>    UNSPEC_VSTRUCTDUMMY
>>>    UNSPEC_SP_SET
>>>    UNSPEC_SP_TEST
>>> +    UNSPEC_RSQRT
>>> +    UNSPEC_RSQRTE
>>> +    UNSPEC_RSQRTS
>>> ])
>>> 
>>> (define_c_enum "unspecv" [
>>> diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
>>> index 98ef9f6..7921b85 100644
>>> --- a/gcc/config/aarch64/aarch64.opt
>>> +++ b/gcc/config/aarch64/aarch64.opt
>>> @@ -124,3 +124,11 @@ Enum(aarch64_abi) String(ilp32) Value(AARCH64_ABI_ILP32)
>>> 
>>> EnumValue
>>> Enum(aarch64_abi) String(lp64) Value(AARCH64_ABI_LP64)
>>> +
>>> +mrecip
>>> +Common Report Var(flag_mrecip) Optimization Init(AARCH64_MRECIP_DEFAULT)
>>> +Generate software reciprocal square root for better throughput.
>>> +
>>> +mlow-precision-recip-sqrt
>>> +Common Var(flag_mrecip_low_precision_sqrt) Optimization
>>> +Run fewer approximation steps to reduce latency and precision.
>>> diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
>>> index b28e5d6..bd922a3 100644
>>> --- a/gcc/doc/invoke.texi
>>> +++ b/gcc/doc/invoke.texi
>>> @@ -515,6 +515,8 @@ Objective-C and Objective-C++ Dialects}.
>>> -mtls-dialect=desc  -mtls-dialect=traditional @gol
>>> -mfix-cortex-a53-835769  -mno-fix-cortex-a53-835769 @gol
>>> -mfix-cortex-a53-843419  -mno-fix-cortex-a53-843419 @gol
>>> +-mrecip -mno-recip @gol
>>> +-mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
>>> -march=@var{name}  -mcpu=@var{name}  -mtune=@var{name}}
>>> 
>>> @emph{Adapteva Epiphany Options}
>>> @@ -12426,6 +12428,23 @@ Enable or disable the workaround for the ARM Cortex-A53 erratum number 843419.
>>> This erratum workaround is made at link time and this will only pass the
>>> corresponding flag to the linker.
>>> 
>>> +@item -mrecip
>>> +@item -mno-recip
>>> +@opindex mrecip
>>> +@opindex mno-recip
>>> +This option enables use of the
>>> +reciprocal square root estimate instructions with additional
>>> +Newton-Raphson steps to increase precision instead of doing a square root and
>>> +divide for floating-point arguments.
>>> +It can only be used together with @option{-ffast-math}.
>>> +
>>> +@item -mlow-precision-recip-sqrt
>>> +@item -mno-low-precision-recip-sqrt
>>> +@opindex -mlow-precision-recip-sqrt
>>> +@opindex -mno-low-precision-recip-sqrt
>>> +The square root estimate uses two steps instead of three for double-precision,
>>> +and one step instead of two for single-precision. Thus reducing latency and precision.
>>> +
>>> @item -march=@var{name}
>>> @opindex march
>>> Specify the name of the target architecture, optionally suffixed by one or
>>> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>>> new file mode 100644
>>> index 0000000..d6cfe11
>>> --- /dev/null
>>> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
>>> @@ -0,0 +1,63 @@
>>> +/* { dg-do compile } */
>>> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
>>> +
>>> +#include <math.h>
>>> +
>>> +#define sqrt_float   __builtin_sqrtf
>>> +#define sqrt_double  __builtin_sqrt
>>> +
>>> +#define TESTTYPE(TYPE)                                          \
>>> +typedef struct {                                                \
>>> +  TYPE a;                                                       \
>>> +  TYPE b;                                                       \
>>> +  TYPE c;                                                       \
>>> +  TYPE d;                                                       \
>>> +} s4_##TYPE;                                                    \
>>> +                                                                \
>>> +typedef struct {                                                \
>>> +  TYPE a;                                                       \
>>> +  TYPE b;                                                       \
>>> +} s2_##TYPE;                                                    \
>>> +                                                                \
>>> +s4_##TYPE rsqrtv4_##TYPE (s4_##TYPE i)                          \
>>> +{                                                               \
>>> +  s4_##TYPE o;                                                  \
>>> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
>>> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
>>> +  o.c = 1.0 / sqrt_##TYPE (i.c);                                \
>>> +  o.d = 1.0 / sqrt_##TYPE (i.d);                                \
>>> +  return o;                                                     \
>>> +}                                                               \
>>> +                                                                \
>>> +s2_##TYPE rsqrtv2_##TYPE (s2_##TYPE i)                          \
>>> +{                                                               \
>>> +  s2_##TYPE o;                                                  \
>>> +  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
>>> +  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
>>> +  return o;                                                     \
>>> +}                                                               \
>>> +                                                                \
>>> +TYPE rsqrt_##TYPE (TYPE i)                                      \
>>> +{                                                               \
>>> +  return 1.0 / sqrt_##TYPE (i);                                 \
>>> +}                                                               \
>>> +                                                                \
>>> +
>>> +TESTTYPE(double)
>>> +TESTTYPE(float)
>>> +
>>> +/* { dg-final { scan-assembler-times "frsqrte\\td\[0-9\]+, d\[0-9\]+" 1 } } */
>>> +/* { dg-final { scan-assembler-times "frsqrts\\td\[0-9\]+, d\[0-9\]+, d\[0-9\]+" 3 } } */
>>> +
>>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2d, v\[0-9\]+.2d" 3 } } */
>>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2d, v\[0-9\]+.2d, v\[0-9\]+.2d" 9 } } */
>>> +
>>> +
>>> +/* { dg-final { scan-assembler-times "frsqrte\\ts\[0-9\]+, s\[0-9\]+" 1 } } */
>>> +/* { dg-final { scan-assembler-times "frsqrts\\ts\[0-9\]+, s\[0-9\]+, s\[0-9\]+" 2 } } */
>>> +
>>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.4s, v\[0-9\]+.4s" 1 } } */
>>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.4s, v\[0-9\]+.4s, v\[0-9\]+.4s" 2 } } */
>>> +
>>> +/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2s, v\[0-9\]+.2s" 1 } } */
>>> +/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2s, v\[0-9\]+.2s, v\[0-9\]+.2s" 2 } } */
>>> diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt.c b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
>>> new file mode 100644
>>> index 0000000..4a5c008
>>> --- /dev/null
>>> +++ b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
>>> @@ -0,0 +1,107 @@
>>> +/* { dg-do run } */
>>> +/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
>>> +
>>> +#include <math.h>
>>> +#include <stdio.h>
>>> +
>>> +#include <float.h>
>>> +
>>> +#define PI    3.141592653589793
>>> +#define SQRT2 1.4142135623730951
>>> +
>>> +#define PI_4 0.7853981633974483
>>> +#define SQRT1_2 0.7071067811865475
>>> +
>>> +/* 2^25+1, float has 24 significand bits
>>> + *       according to Single-precision floating-point format.  */
>>> +#define TESTA8_FLT 33554433
>>> +/* 2^54+1, double has 53 significand bits
>>> + *       according to Double-precision floating-point format.  */
>>> +#define TESTA8_DBL 18014398509481985
>>> +
>>> +#define SD(a, b) t_double ((#a), (a), (b));
>>> +#define SF(a, b) t_float ((#a), (a), (b));
>>> +
>>> +#define EPSILON_double __DBL_EPSILON__
>>> +#define EPSILON_float __FLT_EPSILON__
>>> +#define ABS_double __builtin_fabs
>>> +#define ABS_float __builtin_fabsf
>>> +#define SQRT_double __builtin_sqrt
>>> +#define SQRT_float __builtin_sqrtf
>>> +
>>> +extern void abort (void);
>>> +
>>> +#define TESTTYPE(TYPE)                                                     \
>>> +TYPE rsqrt_##TYPE (TYPE a)                                                 \
>>> +{                                                                          \
>>> +  return 1.0/SQRT_##TYPE(a);                                               \
>>> +}                                                                          \
>>> +                                                                           \
>>> +int equals_##TYPE (TYPE a, TYPE b)                                         \
>>> +{                                                                          \
>>> +  return (a == b ||                                                        \
>>> +          (isnan (a) && isnan (b)) ||                                      \
>>> +          (ABS_##TYPE (a - b) < EPSILON_##TYPE));                          \
>>> +}                                                                          \
>>> +                                                                           \
>>> +void t_##TYPE (const char *s, TYPE a, TYPE result)                         \
>>> +{                                                                          \
>>> +  TYPE r = rsqrt_##TYPE (a);                                               \
>>> +  if (!equals_##TYPE (r, result))                                          \
>>> +  {                                                                        \
>>> +    abort ();                                                              \
>>> +  }                                                                        \
>>> +}                                                                          \
>>> +
>>> +//  printf ("Problem in %20s: %30.18A should be %30.18A\n", s, r, result); \
>>> +
>>> +TESTTYPE(double)
>>> +TESTTYPE(float)
>>> +
>>> +int main ()
>>> +{
>>> +  SD(    1.0/256, 0X1.00000000000000P+4  );
>>> +  SD(        1.0, 0X1.00000000000000P+0  );
>>> +  SD(       -1.0,                     NAN);
>>> +  SD(       11.0, 0X1.34BF63D1568260P-2  );
>>> +  SD(        0.0,                INFINITY);
>>> +  SD(   INFINITY, 0X0.00000000000000P+0  );
>>> +  SD(        NAN,                     NAN);
>>> +  SD(       -NAN,                    -NAN);
>>> +  SD(    DBL_MAX, 0X1.00000000000010P-512);
>>> +  SD(    DBL_MIN, 0X1.00000000000000P+511);
>>> +  SD(         PI, 0X1.20DD750429B6D0P-1  );
>>> +  SD(       PI_4, 0X1.20DD750429B6D0P+0  );
>>> +  SD(      SQRT2, 0X1.AE89F995AD3AE0P-1  );
>>> +  SD(    SQRT1_2, 0X1.306FE0A31B7150P+0  );
>>> +  SD(        -PI,                     NAN);
>>> +  SD(     -SQRT2,                     NAN);
>>> +  SD( TESTA8_DBL, 0X1.00000000000000P-27 );
>>> +
>>> +  SF(    1.0/256, 0X1.00000000000000P+4  );
>>> +  SF(        1.0, 0X1.00000000000000P+0  );
>>> +  SF(       -1.0,                     NAN);
>>> +  SF(       11.0, 0X1.34BF6400000000P-2  );
>>> +  SF(        0.0,                INFINITY);
>>> +  SF(   INFINITY, 0X0.00000000000000P+0  );
>>> +  SF(        NAN,                     NAN);
>>> +  SF(       -NAN,                    -NAN);
>>> +  SF(    FLT_MAX, 0X1.00000200000000P-64 );
>>> +  SF(    FLT_MIN, 0X1.00000000000000P+63 );
>>> +  SF(         PI, 0X1.20DD7400000000P-1  );
>>> +  SF(       PI_4, 0X1.20DD7400000000P+0  );
>>> +  SF(      SQRT2, 0X1.AE89FA00000000P-1  );
>>> +  SF(    SQRT1_2, 0X1.306FE000000000P+0  );
>>> +  SF(        -PI,                     NAN);
>>> +  SF(     -SQRT2,                     NAN);
>>> +  SF( TESTA8_FLT, 0X1.6A09E600000000P-13 );
>>> +
>>> +//   With -ffast-math these return positive INF.
>>> +//   SD(       -0.0,               -INFINITY);
>>> +//   SF(       -0.0,               -INFINITY);
>>> +//   The reason here is that -ffast-math flushes to zero.
>>> +//   SD(DBL_MIN/256, 0X1.00000000000000P+515);
>>> +//   SF(FLT_MIN/256, 0X1.00000000000000P+67 );
>>> +
>>> +  return 0;
>>> +}
>>> --
>>> 1.9.1
>>> 
>>
diff mbox

Patch

diff --git a/gcc/ChangeLog b/gcc/ChangeLog
index 3432adb..3bf3098 100644
--- a/gcc/ChangeLog
+++ b/gcc/ChangeLog
@@ -1,3 +1,24 @@ 
+2015-07-31  Benedikt Huber  <benedikt.huber@theobroma-systems.com>
+	    Philipp Tomsich  <philipp.tomsich@theobroma-systems.com>
+
+	* config/aarch64/aarch64-builtins.c: Builtins for rsqrt and
+	rsqrtf.
+	* config/aarch64/aarch64-opts.h: -mrecip has a default value
+	depending on the core.
+	* config/aarch64/aarch64-protos.h: Declare.
+	* config/aarch64/aarch64-simd.md: Matching expressions for
+	frsqrte and frsqrts.
+	* config/aarch64/aarch64-tuning-flags.def: Added
+	MRECIP_DEFAULT_ENABLED.
+	* config/aarch64/aarch64.c: New functions. Emit rsqrt
+	estimation code in fast math mode.
+	* config/aarch64/aarch64.md: Added enum entries.
+	* config/aarch64/aarch64.opt: Added options -mrecip and
+	-mlow-precision-recip-sqrt.
+	* testsuite/gcc.target/aarch64/rsqrt-asm-check.c: Assembly scans
+	for frsqrte and frsqrts
+	* testsuite/gcc.target/aarch64/rsqrt.c: Functional tests for rsqrt.
+
 2015-07-08  Jiong Wang  <jiong.wang@arm.com>
 
 	* config/aarch64/aarch64.c (aarch64_unspec_may_trap_p): New function.
diff --git a/gcc/config/aarch64/aarch64-builtins.c b/gcc/config/aarch64/aarch64-builtins.c
index b6c89b9..b4f443c 100644
--- a/gcc/config/aarch64/aarch64-builtins.c
+++ b/gcc/config/aarch64/aarch64-builtins.c
@@ -335,6 +335,11 @@  enum aarch64_builtins
   AARCH64_BUILTIN_GET_FPSR,
   AARCH64_BUILTIN_SET_FPSR,
 
+  AARCH64_BUILTIN_RSQRT_DF,
+  AARCH64_BUILTIN_RSQRT_SF,
+  AARCH64_BUILTIN_RSQRT_V2DF,
+  AARCH64_BUILTIN_RSQRT_V2SF,
+  AARCH64_BUILTIN_RSQRT_V4SF,
   AARCH64_SIMD_BUILTIN_BASE,
   AARCH64_SIMD_BUILTIN_LANE_CHECK,
 #include "aarch64-simd-builtins.def"
@@ -824,6 +829,42 @@  aarch64_init_crc32_builtins ()
 }
 
 void
+aarch64_add_builtin_rsqrt (void)
+{
+  tree fndecl = NULL;
+  tree ftype = NULL;
+
+  tree V2SF_type_node = build_vector_type (float_type_node, 2);
+  tree V2DF_type_node = build_vector_type (double_type_node, 2);
+  tree V4SF_type_node = build_vector_type (float_type_node, 4);
+
+  ftype = build_function_type_list (double_type_node, double_type_node, NULL_TREE);
+  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_df",
+    ftype, AARCH64_BUILTIN_RSQRT_DF, BUILT_IN_MD, NULL, NULL_TREE);
+  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF] = fndecl;
+
+  ftype = build_function_type_list (float_type_node, float_type_node, NULL_TREE);
+  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_sf",
+    ftype, AARCH64_BUILTIN_RSQRT_SF, BUILT_IN_MD, NULL, NULL_TREE);
+  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF] = fndecl;
+
+  ftype = build_function_type_list (V2DF_type_node, V2DF_type_node, NULL_TREE);
+  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2df",
+    ftype, AARCH64_BUILTIN_RSQRT_V2DF, BUILT_IN_MD, NULL, NULL_TREE);
+  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF] = fndecl;
+
+  ftype = build_function_type_list (V2SF_type_node, V2SF_type_node, NULL_TREE);
+  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v2sf",
+    ftype, AARCH64_BUILTIN_RSQRT_V2SF, BUILT_IN_MD, NULL, NULL_TREE);
+  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF] = fndecl;
+
+  ftype = build_function_type_list (V4SF_type_node, V4SF_type_node, NULL_TREE);
+  fndecl = add_builtin_function ("__builtin_aarch64_rsqrt_v4sf",
+    ftype, AARCH64_BUILTIN_RSQRT_V4SF, BUILT_IN_MD, NULL, NULL_TREE);
+  aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF] = fndecl;
+}
+
+void
 aarch64_init_builtins (void)
 {
   tree ftype_set_fpr
@@ -848,6 +889,7 @@  aarch64_init_builtins (void)
     aarch64_init_simd_builtins ();
   if (TARGET_CRC32)
     aarch64_init_crc32_builtins ();
+  aarch64_add_builtin_rsqrt ();
 }
 
 tree
@@ -1092,6 +1134,39 @@  aarch64_crc32_expand_builtin (int fcode, tree exp, rtx target)
   return target;
 }
 
+static rtx
+aarch64_expand_builtin_rsqrt (int fcode, tree exp, rtx target)
+{
+  rtx pat;
+  tree arg0 = CALL_EXPR_ARG (exp, 0);
+  rtx op0 = expand_normal (arg0);
+
+  enum insn_code c;
+
+  switch (fcode)
+    {
+      case AARCH64_BUILTIN_RSQRT_DF:
+        c = CODE_FOR_rsqrt_df2; break;
+      case AARCH64_BUILTIN_RSQRT_SF:
+        c = CODE_FOR_rsqrt_sf2; break;
+      case AARCH64_BUILTIN_RSQRT_V2DF:
+        c = CODE_FOR_rsqrt_v2df2; break;
+      case AARCH64_BUILTIN_RSQRT_V2SF:
+        c = CODE_FOR_rsqrt_v2sf2; break;
+      case AARCH64_BUILTIN_RSQRT_V4SF:
+        c = CODE_FOR_rsqrt_v4sf2; break;
+	  default: gcc_unreachable ();
+    }
+
+  if (!target)
+    target = gen_reg_rtx (GET_MODE (op0));
+
+  pat = GEN_FCN (c) (target, op0);
+  emit_insn (pat);
+
+  return target;
+}
+
 /* Expand an expression EXP that calls a built-in function,
    with result going to TARGET if that's convenient.  */
 rtx
@@ -1139,6 +1214,13 @@  aarch64_expand_builtin (tree exp,
   else if (fcode >= AARCH64_CRC32_BUILTIN_BASE && fcode <= AARCH64_CRC32_BUILTIN_MAX)
     return aarch64_crc32_expand_builtin (fcode, exp, target);
 
+  if (fcode == AARCH64_BUILTIN_RSQRT_DF
+      || fcode == AARCH64_BUILTIN_RSQRT_SF
+      || fcode == AARCH64_BUILTIN_RSQRT_V2DF
+      || fcode == AARCH64_BUILTIN_RSQRT_V2SF
+      || fcode == AARCH64_BUILTIN_RSQRT_V4SF)
+    return aarch64_expand_builtin_rsqrt (fcode, exp, target);
+
   gcc_unreachable ();
 }
 
@@ -1296,6 +1378,28 @@  aarch64_builtin_vectorized_function (tree fndecl, tree type_out, tree type_in)
   return NULL_TREE;
 }
 
+tree
+aarch64_builtin_rsqrt (unsigned int fn, bool md_fn)
+{
+  if (md_fn)
+    {
+      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2df)
+        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2DF];
+      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv2sf)
+        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V2SF];
+      if (fn == AARCH64_SIMD_BUILTIN_UNOP_sqrtv4sf)
+        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_V4SF];
+    }
+  else
+    {
+      if (fn == BUILT_IN_SQRT)
+        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_DF];
+      if (fn == BUILT_IN_SQRTF)
+        return aarch64_builtin_decls[AARCH64_BUILTIN_RSQRT_SF];
+    }
+  return NULL_TREE;
+}
+
 #undef VAR1
 #define VAR1(T, N, MAP, A) \
   case AARCH64_SIMD_BUILTIN_##T##_##N##A:
diff --git a/gcc/config/aarch64/aarch64-opts.h b/gcc/config/aarch64/aarch64-opts.h
index 24bfd9f..75e9c67 100644
--- a/gcc/config/aarch64/aarch64-opts.h
+++ b/gcc/config/aarch64/aarch64-opts.h
@@ -64,4 +64,11 @@  enum aarch64_code_model {
   AARCH64_CMODEL_LARGE
 };
 
+/* Each core can have -mrecip enabled or disabled by default. */
+enum aarch64_mrecip {
+  AARCH64_MRECIP_OFF = 0,
+  AARCH64_MRECIP_ON,
+  AARCH64_MRECIP_DEFAULT,
+};
+
 #endif
diff --git a/gcc/config/aarch64/aarch64-protos.h b/gcc/config/aarch64/aarch64-protos.h
index 4062c27..8b8a389 100644
--- a/gcc/config/aarch64/aarch64-protos.h
+++ b/gcc/config/aarch64/aarch64-protos.h
@@ -321,6 +321,8 @@  void aarch64_print_operand (FILE *, rtx, char);
 void aarch64_print_operand_address (FILE *, rtx);
 void aarch64_emit_call_insn (rtx);
 
+void aarch64_emit_swrsqrt (rtx, rtx);
+
 /* 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 b90f938..ae81731 100644
--- a/gcc/config/aarch64/aarch64-simd.md
+++ b/gcc/config/aarch64/aarch64-simd.md
@@ -353,6 +353,33 @@ 
   [(set_attr "type" "neon_fp_mul_d_scalar_q")]
 )
 
+(define_insn "rsqrte_<mode>2"
+  [(set (match_operand:VALLF 0 "register_operand" "=w")
+	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
+		     UNSPEC_RSQRTE))]
+  "TARGET_SIMD"
+  "frsqrte\\t%<v>0<Vmtype>, %<v>1<Vmtype>"
+  [(set_attr "type" "neon_fp_rsqrte_<Vetype><q>")])
+
+(define_insn "rsqrts_<mode>3"
+  [(set (match_operand:VALLF 0 "register_operand" "=w")
+	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")
+               (match_operand:VALLF 2 "register_operand" "w")]
+		     UNSPEC_RSQRTS))]
+  "TARGET_SIMD"
+  "frsqrts\\t%<v>0<Vmtype>, %<v>1<Vmtype>, %<v>2<Vmtype>"
+  [(set_attr "type" "neon_fp_rsqrts_<Vetype><q>")])
+
+(define_expand "rsqrt_<mode>2"
+  [(set (match_operand:VALLF 0 "register_operand" "=w")
+	(unspec:VALLF [(match_operand:VALLF 1 "register_operand" "w")]
+		     UNSPEC_RSQRT))]
+  "TARGET_SIMD"
+{
+  aarch64_emit_swrsqrt (operands[0], operands[1]);
+  DONE;
+})
+
 (define_insn "*aarch64_mul3_elt_to_64v2df"
   [(set (match_operand:DF 0 "register_operand" "=w")
      (mult:DF
diff --git a/gcc/config/aarch64/aarch64-tuning-flags.def b/gcc/config/aarch64/aarch64-tuning-flags.def
index 01aaca8..97dbf00 100644
--- a/gcc/config/aarch64/aarch64-tuning-flags.def
+++ b/gcc/config/aarch64/aarch64-tuning-flags.def
@@ -31,4 +31,5 @@ 
      flags.  */
 
 AARCH64_EXTRA_TUNING_OPTION ("rename_fma_regs", RENAME_FMA_REGS, 0)
+AARCH64_EXTRA_TUNING_OPTION ("mrecip_default_enabled", MRECIP_DEFAULT_ENABLED, 1)
 
diff --git a/gcc/config/aarch64/aarch64.c b/gcc/config/aarch64/aarch64.c
index 6c13a078..76c0eee 100644
--- a/gcc/config/aarch64/aarch64.c
+++ b/gcc/config/aarch64/aarch64.c
@@ -364,7 +364,7 @@  static const struct tune_params generic_tunings =
   1,	/* vec_reassoc_width.  */
   2,	/* min_div_recip_mul_sf.  */
   2,	/* min_div_recip_mul_df.  */
-  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
+  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
 };
 
 static const struct tune_params cortexa53_tunings =
@@ -386,7 +386,7 @@  static const struct tune_params cortexa53_tunings =
   1,	/* vec_reassoc_width.  */
   2,	/* min_div_recip_mul_sf.  */
   2,	/* min_div_recip_mul_df.  */
-  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
+  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
 };
 
 static const struct tune_params cortexa57_tunings =
@@ -408,7 +408,8 @@  static const struct tune_params cortexa57_tunings =
   1,	/* vec_reassoc_width.  */
   2,	/* min_div_recip_mul_sf.  */
   2,	/* min_div_recip_mul_df.  */
-  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS)	/* tune_flags.  */
+  (AARCH64_EXTRA_TUNE_RENAME_FMA_REGS	/* tune_flags.  */
+   | AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)
 };
 
 static const struct tune_params cortexa72_tunings =
@@ -430,7 +431,7 @@  static const struct tune_params cortexa72_tunings =
   1,	/* vec_reassoc_width.  */
   2,	/* min_div_recip_mul_sf.  */
   2,	/* min_div_recip_mul_df.  */
-  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
+  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
 };
 
 static const struct tune_params thunderx_tunings =
@@ -472,7 +473,7 @@  static const struct tune_params xgene1_tunings =
   1,	/* vec_reassoc_width.  */
   2,	/* min_div_recip_mul_sf.  */
   2,	/* min_div_recip_mul_df.  */
-  (AARCH64_EXTRA_TUNE_NONE)	/* tune_flags.  */
+  (AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)	/* tune_flags.  */
 };
 
 /* Support for fine-grained override of the tuning structures.  */
@@ -6961,6 +6962,98 @@  aarch64_memory_move_cost (machine_mode mode ATTRIBUTE_UNUSED,
   return aarch64_tune_params.memmov_cost;
 }
 
+extern tree aarch64_builtin_rsqrt (unsigned int fn, bool md_fn);
+
+static tree
+aarch64_builtin_reciprocal (unsigned int fn,
+                            bool md_fn,
+                            bool)
+{
+  if (!flag_finite_math_only
+      || flag_trapping_math
+      || !flag_unsafe_math_optimizations
+      || optimize_size
+      || flag_mrecip == AARCH64_MRECIP_OFF
+      || (flag_mrecip == AARCH64_MRECIP_DEFAULT
+          && !(aarch64_tune_params.extra_tuning_flags
+               & AARCH64_EXTRA_TUNE_MRECIP_DEFAULT_ENABLED)))
+  {
+    return NULL_TREE;
+  }
+
+  return aarch64_builtin_rsqrt (fn, md_fn);
+}
+
+typedef rtx (*rsqrte_type) (rtx, rtx);
+
+rsqrte_type get_rsqrte_type (enum machine_mode mode)
+{
+  switch (mode)
+  {
+    case DFmode:   return gen_rsqrte_df2;
+    case SFmode:   return gen_rsqrte_sf2;
+    case V2DFmode: return gen_rsqrte_v2df2;
+    case V2SFmode: return gen_rsqrte_v2sf2;
+    case V4SFmode: return gen_rsqrte_v4sf2;
+    default: gcc_unreachable ();
+  }
+}
+
+typedef rtx (*rsqrts_type) (rtx, rtx, rtx);
+
+rsqrts_type get_rsqrts_type (enum machine_mode mode)
+{
+  switch (mode)
+  {
+    case DFmode:   return gen_rsqrts_df3;
+    case SFmode:   return gen_rsqrts_sf3;
+    case V2DFmode: return gen_rsqrts_v2df3;
+    case V2SFmode: return gen_rsqrts_v2sf3;
+    case V4SFmode: return gen_rsqrts_v4sf3;
+    default: gcc_unreachable ();
+  }
+}
+
+void
+aarch64_emit_swrsqrt (rtx dst, rtx src)
+{
+  enum 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);
+
+  emit_insn ((*get_rsqrte_type (mode)) (x0, xsrc));
+
+  bool double_mode = (mode == DFmode || mode == V2DFmode);
+
+  int iterations = 2;
+  if (double_mode)
+    iterations = 3;
+
+  if (flag_mrecip_low_precision_sqrt)
+    iterations--;
+
+  for (int i = 0; i < iterations; ++i)
+    {
+      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_insn ((*get_rsqrts_type (mode)) (x3, xsrc, x2));
+
+      emit_set_insn (x1, gen_rtx_MULT (mode, x0, x3));
+      x0 = x1;
+    }
+
+  emit_move_insn (dst, x0);
+  return;
+}
+
 /* Return the number of instructions that can be issued per cycle.  */
 static int
 aarch64_sched_issue_rate (void)
@@ -12099,6 +12192,9 @@  aarch64_unspec_may_trap_p (const_rtx x, unsigned flags)
 #undef TARGET_USE_BLOCKS_FOR_CONSTANT_P
 #define TARGET_USE_BLOCKS_FOR_CONSTANT_P aarch64_use_blocks_for_constant_p
 
+#undef TARGET_BUILTIN_RECIPROCAL
+#define TARGET_BUILTIN_RECIPROCAL aarch64_builtin_reciprocal
+
 #undef TARGET_VECTOR_MODE_SUPPORTED_P
 #define TARGET_VECTOR_MODE_SUPPORTED_P aarch64_vector_mode_supported_p
 
diff --git a/gcc/config/aarch64/aarch64.md b/gcc/config/aarch64/aarch64.md
index 1e343fa..d7944b2 100644
--- a/gcc/config/aarch64/aarch64.md
+++ b/gcc/config/aarch64/aarch64.md
@@ -122,6 +122,9 @@ 
     UNSPEC_VSTRUCTDUMMY
     UNSPEC_SP_SET
     UNSPEC_SP_TEST
+    UNSPEC_RSQRT
+    UNSPEC_RSQRTE
+    UNSPEC_RSQRTS
 ])
 
 (define_c_enum "unspecv" [
diff --git a/gcc/config/aarch64/aarch64.opt b/gcc/config/aarch64/aarch64.opt
index 98ef9f6..7921b85 100644
--- a/gcc/config/aarch64/aarch64.opt
+++ b/gcc/config/aarch64/aarch64.opt
@@ -124,3 +124,11 @@  Enum(aarch64_abi) String(ilp32) Value(AARCH64_ABI_ILP32)
 
 EnumValue
 Enum(aarch64_abi) String(lp64) Value(AARCH64_ABI_LP64)
+
+mrecip
+Common Report Var(flag_mrecip) Optimization Init(AARCH64_MRECIP_DEFAULT)
+Generate software reciprocal square root for better throughput.
+
+mlow-precision-recip-sqrt
+Common Var(flag_mrecip_low_precision_sqrt) Optimization
+Run fewer approximation steps to reduce latency and precision.
diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
index b28e5d6..bd922a3 100644
--- a/gcc/doc/invoke.texi
+++ b/gcc/doc/invoke.texi
@@ -515,6 +515,8 @@  Objective-C and Objective-C++ Dialects}.
 -mtls-dialect=desc  -mtls-dialect=traditional @gol
 -mfix-cortex-a53-835769  -mno-fix-cortex-a53-835769 @gol
 -mfix-cortex-a53-843419  -mno-fix-cortex-a53-843419 @gol
+-mrecip -mno-recip @gol
+-mlow-precision-recip-sqrt -mno-low-precision-recip-sqrt@gol
 -march=@var{name}  -mcpu=@var{name}  -mtune=@var{name}}
 
 @emph{Adapteva Epiphany Options}
@@ -12426,6 +12428,23 @@  Enable or disable the workaround for the ARM Cortex-A53 erratum number 843419.
 This erratum workaround is made at link time and this will only pass the
 corresponding flag to the linker.
 
+@item -mrecip
+@item -mno-recip
+@opindex mrecip
+@opindex mno-recip
+This option enables use of the
+reciprocal square root estimate instructions with additional
+Newton-Raphson steps to increase precision instead of doing a square root and
+divide for floating-point arguments.
+It can only be used together with @option{-ffast-math}.
+
+@item -mlow-precision-recip-sqrt
+@item -mno-low-precision-recip-sqrt
+@opindex -mlow-precision-recip-sqrt
+@opindex -mno-low-precision-recip-sqrt
+The square root estimate uses two steps instead of three for double-precision,
+and one step instead of two for single-precision. Thus reducing latency and precision.
+
 @item -march=@var{name}
 @opindex march
 Specify the name of the target architecture, optionally suffixed by one or
diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
new file mode 100644
index 0000000..d6cfe11
--- /dev/null
+++ b/gcc/testsuite/gcc.target/aarch64/rsqrt-asm-check.c
@@ -0,0 +1,63 @@ 
+/* { dg-do compile } */
+/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
+
+#include <math.h>
+
+#define sqrt_float   __builtin_sqrtf
+#define sqrt_double  __builtin_sqrt
+
+#define TESTTYPE(TYPE)                                          \
+typedef struct {                                                \
+  TYPE a;                                                       \
+  TYPE b;                                                       \
+  TYPE c;                                                       \
+  TYPE d;                                                       \
+} s4_##TYPE;                                                    \
+                                                                \
+typedef struct {                                                \
+  TYPE a;                                                       \
+  TYPE b;                                                       \
+} s2_##TYPE;                                                    \
+                                                                \
+s4_##TYPE rsqrtv4_##TYPE (s4_##TYPE i)                          \
+{                                                               \
+  s4_##TYPE o;                                                  \
+  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
+  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
+  o.c = 1.0 / sqrt_##TYPE (i.c);                                \
+  o.d = 1.0 / sqrt_##TYPE (i.d);                                \
+  return o;                                                     \
+}                                                               \
+                                                                \
+s2_##TYPE rsqrtv2_##TYPE (s2_##TYPE i)                          \
+{                                                               \
+  s2_##TYPE o;                                                  \
+  o.a = 1.0 / sqrt_##TYPE (i.a);                                \
+  o.b = 1.0 / sqrt_##TYPE (i.b);                                \
+  return o;                                                     \
+}                                                               \
+                                                                \
+TYPE rsqrt_##TYPE (TYPE i)                                      \
+{                                                               \
+  return 1.0 / sqrt_##TYPE (i);                                 \
+}                                                               \
+                                                                \
+
+TESTTYPE(double)
+TESTTYPE(float)
+
+/* { dg-final { scan-assembler-times "frsqrte\\td\[0-9\]+, d\[0-9\]+" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\td\[0-9\]+, d\[0-9\]+, d\[0-9\]+" 3 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2d, v\[0-9\]+.2d" 3 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2d, v\[0-9\]+.2d, v\[0-9\]+.2d" 9 } } */
+
+
+/* { dg-final { scan-assembler-times "frsqrte\\ts\[0-9\]+, s\[0-9\]+" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\ts\[0-9\]+, s\[0-9\]+, s\[0-9\]+" 2 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.4s, v\[0-9\]+.4s" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.4s, v\[0-9\]+.4s, v\[0-9\]+.4s" 2 } } */
+
+/* { dg-final { scan-assembler-times "frsqrte\\tv\[0-9\]+.2s, v\[0-9\]+.2s" 1 } } */
+/* { dg-final { scan-assembler-times "frsqrts\\tv\[0-9\]+.2s, v\[0-9\]+.2s, v\[0-9\]+.2s" 2 } } */
diff --git a/gcc/testsuite/gcc.target/aarch64/rsqrt.c b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
new file mode 100644
index 0000000..4a5c008
--- /dev/null
+++ b/gcc/testsuite/gcc.target/aarch64/rsqrt.c
@@ -0,0 +1,107 @@ 
+/* { dg-do run } */
+/* { dg-options "-O3 --save-temps -fverbose-asm -ffast-math -mrecip" } */
+
+#include <math.h>
+#include <stdio.h>
+
+#include <float.h>
+
+#define PI    3.141592653589793
+#define SQRT2 1.4142135623730951
+
+#define PI_4 0.7853981633974483
+#define SQRT1_2 0.7071067811865475
+
+/* 2^25+1, float has 24 significand bits
+ *       according to Single-precision floating-point format.  */
+#define TESTA8_FLT 33554433
+/* 2^54+1, double has 53 significand bits
+ *       according to Double-precision floating-point format.  */
+#define TESTA8_DBL 18014398509481985
+
+#define SD(a, b) t_double ((#a), (a), (b));
+#define SF(a, b) t_float ((#a), (a), (b));
+
+#define EPSILON_double __DBL_EPSILON__
+#define EPSILON_float __FLT_EPSILON__
+#define ABS_double __builtin_fabs
+#define ABS_float __builtin_fabsf
+#define SQRT_double __builtin_sqrt
+#define SQRT_float __builtin_sqrtf
+
+extern void abort (void);
+
+#define TESTTYPE(TYPE)                                                     \
+TYPE rsqrt_##TYPE (TYPE a)                                                 \
+{                                                                          \
+  return 1.0/SQRT_##TYPE(a);                                               \
+}                                                                          \
+                                                                           \
+int equals_##TYPE (TYPE a, TYPE b)                                         \
+{                                                                          \
+  return (a == b ||                                                        \
+          (isnan (a) && isnan (b)) ||                                      \
+          (ABS_##TYPE (a - b) < EPSILON_##TYPE));                          \
+}                                                                          \
+                                                                           \
+void t_##TYPE (const char *s, TYPE a, TYPE result)                         \
+{                                                                          \
+  TYPE r = rsqrt_##TYPE (a);                                               \
+  if (!equals_##TYPE (r, result))                                          \
+  {                                                                        \
+    abort ();                                                              \
+  }                                                                        \
+}                                                                          \
+
+//  printf ("Problem in %20s: %30.18A should be %30.18A\n", s, r, result); \
+
+TESTTYPE(double)
+TESTTYPE(float)
+
+int main ()
+{
+  SD(    1.0/256, 0X1.00000000000000P+4  );
+  SD(        1.0, 0X1.00000000000000P+0  );
+  SD(       -1.0,                     NAN);
+  SD(       11.0, 0X1.34BF63D1568260P-2  );
+  SD(        0.0,                INFINITY);
+  SD(   INFINITY, 0X0.00000000000000P+0  );
+  SD(        NAN,                     NAN);
+  SD(       -NAN,                    -NAN);
+  SD(    DBL_MAX, 0X1.00000000000010P-512);
+  SD(    DBL_MIN, 0X1.00000000000000P+511);
+  SD(         PI, 0X1.20DD750429B6D0P-1  );
+  SD(       PI_4, 0X1.20DD750429B6D0P+0  );
+  SD(      SQRT2, 0X1.AE89F995AD3AE0P-1  );
+  SD(    SQRT1_2, 0X1.306FE0A31B7150P+0  );
+  SD(        -PI,                     NAN);
+  SD(     -SQRT2,                     NAN);
+  SD( TESTA8_DBL, 0X1.00000000000000P-27 );
+
+  SF(    1.0/256, 0X1.00000000000000P+4  );
+  SF(        1.0, 0X1.00000000000000P+0  );
+  SF(       -1.0,                     NAN);
+  SF(       11.0, 0X1.34BF6400000000P-2  );
+  SF(        0.0,                INFINITY);
+  SF(   INFINITY, 0X0.00000000000000P+0  );
+  SF(        NAN,                     NAN);
+  SF(       -NAN,                    -NAN);
+  SF(    FLT_MAX, 0X1.00000200000000P-64 );
+  SF(    FLT_MIN, 0X1.00000000000000P+63 );
+  SF(         PI, 0X1.20DD7400000000P-1  );
+  SF(       PI_4, 0X1.20DD7400000000P+0  );
+  SF(      SQRT2, 0X1.AE89FA00000000P-1  );
+  SF(    SQRT1_2, 0X1.306FE000000000P+0  );
+  SF(        -PI,                     NAN);
+  SF(     -SQRT2,                     NAN);
+  SF( TESTA8_FLT, 0X1.6A09E600000000P-13 );
+
+//   With -ffast-math these return positive INF.
+//   SD(       -0.0,               -INFINITY);
+//   SF(       -0.0,               -INFINITY);
+//   The reason here is that -ffast-math flushes to zero.
+//   SD(DBL_MIN/256, 0X1.00000000000000P+515);
+//   SF(FLT_MIN/256, 0X1.00000000000000P+67 );
+
+  return 0;
+}