middle-end, c++, i386, libgcc, v2: std::bfloat16_t and __bf16 arithmetic support

Message ID Y0hB6+3EJYPYkHkN@tucnak
State New, archived
Headers
Series middle-end, c++, i386, libgcc, v2: std::bfloat16_t and __bf16 arithmetic support |

Commit Message

Jakub Jelinek Oct. 13, 2022, 4:50 p.m. UTC
  Hi!

On Wed, Oct 05, 2022 at 04:02:25PM -0400, Jason Merrill wrote:
> > As I wrote earlier, I think we need at least one, __builtin_nans variant
> > which would be used in libstdc++
> > std::numeric_limits<std::bfloat16_t>::signaling_NaN() implementation.
> > I think
> > std::numeric_limits<std::bfloat16_t>::infinity() can be implemented as
> > return (__bf16) __builtin_huge_valf ();
> > and similarly
> > std::numeric_limits<std::bfloat16_t>::quiet_NaN() as
> > return (__bf16) __builtin_nanf ("");
> > but
> > return (__bf16) __builtin_nansf ("");
> > would loose the signaling NaN on the conversion and raise exception,
> > and as the method is constexpr,
> > union { unsigned short a; __bf16 b; } u = { 0x7f81 };
> > return u.b;
> > wouldn't work.  I can certainly restrict the builtins to the single
> > one, but wonder whether the suffix for that builtin shouldn't be chosen
> > such that eventually we could add more builtins if we need to
> > and don't run into the log with bf16 suffix vs. logb with f16 suffix
> > ambiguity.
> > As you said, most of the libstdc++ overloads for std::bfloat16_t then
> > can use float builtins or library calls under the hood, but std::nextafter
> > is another case where I think we'll need to have something bfloat16_t
> > specific, because float ulp isn't bfloat16_t ulp, the latter is much larger.
> 
> Makes sense.

So, this updated version of the patch adds just a single __builtin_nansf16b
builtin (or do you want __builtin_nansbf16?).
> 
> > Based on what Joseph wrote, I'll add bf16/BF16 suffix support for C too
> > in the next iteration (always with pedwarn in that case).

And implements bf16/BF16 suffixes for C too.

> > I'm afraid too many places rely on all modes of a certain class to be
> > visible when walking from "narrowest" to "widest" mode, say
> > FOR_EACH_MODE_IN_CLASS/FOR_EACH_MODE/FOR_EACH_MODE_UNTIL/FOR_EACH_WIDER_MODE
> > etc. wouldn't work at all if GET_MODE_WIDER_MODE (BFmode) == SFmode
> > && GET_MODE_WIDER_MODE (HFmode) == SFmode.
> 
> Yes, it seems they need to change now that their assumptions have been
> violated.  I suppose FOR_EACH_MODE_IN_CLASS would need to change to not use
> get_wider, and users of FOR_EACH_MODE/FOR_EACH_MODE_UNTIL need to decide
> whether they want an iteration that uses get_wider (likely with a new name)
> or not.

And now that the GET_MODE_WIDER_MODE vs. GET_MODE_NEXT_MODE patch is in,
is updated on top of those changes.

So far lightly tested on x86_64-linux, ok for trunk if it passes full
bootstrap/regtest on both x86_64-linux and i686-linux?

2022-10-13  Jakub Jelinek  <jakub@redhat.com>

gcc/
	* tree-core.h (enum tree_index): Add TI_BFLOAT16_TYPE.
	* tree.h (bfloat16_type_node): Define.
	* tree.cc (excess_precision_type): Promote bfloat16_type_mode
	like float16_type_mode.
	(build_common_tree_nodes): Initialize bfloat16_type_node if
	BFmode is supported.
	* expmed.h (maybe_expand_shift): Declare.
	* expmed.cc (maybe_expand_shift): No longer static.
	* expr.cc (convert_mode_scalar): Don't ICE on BF -> HF or HF -> BF
	conversions.  If there is no optab, handle BF -> {DF,XF,TF,HF}
	conversions as separate BF -> SF -> {DF,XF,TF,HF} conversions, add
	-ffast-math generic implementation for BF -> SF and SF -> BF
	conversions.
	* builtin-types.def (BT_BFLOAT16, BT_FN_BFLOAT16_CONST_STRING): New.
	* builtins.def (BUILT_IN_NANSF16B): New builtin.
	* fold-const-call.cc (fold_const_call): Handle CFN_BUILT_IN_NANSF16B.
	* config/i386/i386.cc (classify_argument): Handle E_BCmode.
	(ix86_libgcc_floating_mode_supported_p): Also return true for BFmode
	for -msse2.
	(ix86_mangle_type): Mangle BFmode as DF16b.
	(ix86_invalid_conversion, ix86_invalid_unary_op,
	ix86_invalid_binary_op): Remove.
	(TARGET_INVALID_CONVERSION, TARGET_INVALID_UNARY_OP,
	TARGET_INVALID_BINARY_OP): Don't redefine.
	* config/i386/i386-builtins.cc (ix86_bf16_type_node): Remove.
	(ix86_register_bf16_builtin_type): Use bfloat16_type_node rather than
	ix86_bf16_type_node, only create it if still NULL.
	* config/i386/i386-builtin-types.def (BFLOAT16): Likewise.
	* config/i386/i386.md (cbranchbf4, cstorebf4): New expanders.
gcc/c-family/
	* c-cppbuiltin.cc (c_cpp_builtins): If bfloat16_type_node,
	predefine __BFLT16_*__ macros and for C++23 also
	__STDCPP_BFLOAT16_T__.  Predefine bfloat16_type_node related
	macros for -fbuilding-libgcc.
	* c-lex.cc (interpret_float): Handle CPP_N_BFLOAT16.
gcc/c/
	* c-typeck.cc (convert_arguments): Don't promote __bf16 to
	double.
gcc/cp/
	* cp-tree.h (extended_float_type_p): Return true for
	bfloat16_type_node.
	* typeck.cc (cp_compare_floating_point_conversion_ranks): Set
	extended{1,2} if mv{1,2} is bfloat16_type_node.  Adjust comment.
gcc/testsuite/
	* lib/target-supports.exp (check_effective_target_bfloat16,
	check_effective_target_bfloat16_runtime, add_options_for_bfloat16):
	New.
	* gcc.dg/torture/bfloat16-basic.c: New test.
	* gcc.dg/torture/bfloat16-builtin.c: New test.
	* gcc.dg/torture/bfloat16-builtin-issignaling-1.c: New test.
	* gcc.dg/torture/bfloat16-complex.c: New test.
	* gcc.dg/torture/builtin-issignaling-1.c: Allow to be includable
	from bfloat16-builtin-issignaling-1.c.
	* gcc.dg/torture/floatn-basic.h: Allow to be includable from
	bfloat16-basic.c.
	* gcc.target/i386/vect-bfloat16-typecheck_2.c: Adjust expected
	diagnostics.
	* gcc.target/i386/sse2-bfloat16-scalar-typecheck.c: Likewise.
	* gcc.target/i386/vect-bfloat16-typecheck_1.c: Likewise.
	* g++.target/i386/bfloat_cpp_typecheck.C: Likewise.
libcpp/
	* include/cpplib.h (CPP_N_BFLOAT16): Define.
	* expr.cc (interpret_float_suffix): Handle bf16 and BF16 suffixes for
	C++.
libgcc/
	* config/i386/t-softfp (softfp_extensions): Add bfsf.
	(softfp_truncations): Add tfbf xfbf dfbf sfbf hfbf.
	(CFLAGS-extendbfsf2.c, CFLAGS-truncsfbf2.c, CFLAGS-truncdfbf2.c,
	CFLAGS-truncxfbf2.c, CFLAGS-trunctfbf2.c, CFLAGS-trunchfbf2.c): Add
	-msse2.
	* config/i386/libgcc-glibc.ver (GCC_13.0.0): Export
	__extendbfsf2 and __trunc{s,d,x,t,h}fbf2.
	* config/i386/sfp-machine.h (_FP_NANSIGN_B): Define.
	* config/i386/64/sfp-machine.h (_FP_NANFRAC_B): Define.
	* config/i386/32/sfp-machine.h (_FP_NANFRAC_B): Define.
	* soft-fp/brain.h: New file.
	* soft-fp/truncsfbf2.c: New file.
	* soft-fp/truncdfbf2.c: New file.
	* soft-fp/truncxfbf2.c: New file.
	* soft-fp/trunctfbf2.c: New file.
	* soft-fp/trunchfbf2.c: New file.
	* soft-fp/truncbfhf2.c: New file.
	* soft-fp/extendbfsf2.c: New file.
libiberty/
	* cp-demangle.h (D_BUILTIN_TYPE_COUNT): Increment.
	* cp-demangle.c (cplus_demangle_builtin_types): Add std::bfloat16_t
	entry.
	(cplus_demangle_type): Demangle DF16b.
	* testsuite/demangle-expected (_Z3xxxDF16b): New test.



	Jakub
  

Comments

Jason Merrill Oct. 13, 2022, 7:37 p.m. UTC | #1
On 10/13/22 12:50, Jakub Jelinek wrote:
> Hi!
> 
> On Wed, Oct 05, 2022 at 04:02:25PM -0400, Jason Merrill wrote:
>>> As I wrote earlier, I think we need at least one, __builtin_nans variant
>>> which would be used in libstdc++
>>> std::numeric_limits<std::bfloat16_t>::signaling_NaN() implementation.
>>> I think
>>> std::numeric_limits<std::bfloat16_t>::infinity() can be implemented as
>>> return (__bf16) __builtin_huge_valf ();
>>> and similarly
>>> std::numeric_limits<std::bfloat16_t>::quiet_NaN() as
>>> return (__bf16) __builtin_nanf ("");
>>> but
>>> return (__bf16) __builtin_nansf ("");
>>> would loose the signaling NaN on the conversion and raise exception,
>>> and as the method is constexpr,
>>> union { unsigned short a; __bf16 b; } u = { 0x7f81 };
>>> return u.b;
>>> wouldn't work.  I can certainly restrict the builtins to the single
>>> one, but wonder whether the suffix for that builtin shouldn't be chosen
>>> such that eventually we could add more builtins if we need to
>>> and don't run into the log with bf16 suffix vs. logb with f16 suffix
>>> ambiguity.
>>> As you said, most of the libstdc++ overloads for std::bfloat16_t then
>>> can use float builtins or library calls under the hood, but std::nextafter
>>> is another case where I think we'll need to have something bfloat16_t
>>> specific, because float ulp isn't bfloat16_t ulp, the latter is much larger.
>>
>> Makes sense.
> 
> So, this updated version of the patch adds just a single __builtin_nansf16b
> builtin (or do you want __builtin_nansbf16?).

16b sounds fine.

>>> Based on what Joseph wrote, I'll add bf16/BF16 suffix support for C too
>>> in the next iteration (always with pedwarn in that case).
> 
> And implements bf16/BF16 suffixes for C too.
> 
>>> I'm afraid too many places rely on all modes of a certain class to be
>>> visible when walking from "narrowest" to "widest" mode, say
>>> FOR_EACH_MODE_IN_CLASS/FOR_EACH_MODE/FOR_EACH_MODE_UNTIL/FOR_EACH_WIDER_MODE
>>> etc. wouldn't work at all if GET_MODE_WIDER_MODE (BFmode) == SFmode
>>> && GET_MODE_WIDER_MODE (HFmode) == SFmode.
>>
>> Yes, it seems they need to change now that their assumptions have been
>> violated.  I suppose FOR_EACH_MODE_IN_CLASS would need to change to not use
>> get_wider, and users of FOR_EACH_MODE/FOR_EACH_MODE_UNTIL need to decide
>> whether they want an iteration that uses get_wider (likely with a new name)
>> or not.
> 
> And now that the GET_MODE_WIDER_MODE vs. GET_MODE_NEXT_MODE patch is in,
> is updated on top of those changes.
> 
> So far lightly tested on x86_64-linux, ok for trunk if it passes full
> bootstrap/regtest on both x86_64-linux and i686-linux?

LGTM, but a i386 maintainer should review it as well.

> 2022-10-13  Jakub Jelinek  <jakub@redhat.com>
> 
> gcc/
> 	* tree-core.h (enum tree_index): Add TI_BFLOAT16_TYPE.
> 	* tree.h (bfloat16_type_node): Define.
> 	* tree.cc (excess_precision_type): Promote bfloat16_type_mode
> 	like float16_type_mode.
> 	(build_common_tree_nodes): Initialize bfloat16_type_node if
> 	BFmode is supported.
> 	* expmed.h (maybe_expand_shift): Declare.
> 	* expmed.cc (maybe_expand_shift): No longer static.
> 	* expr.cc (convert_mode_scalar): Don't ICE on BF -> HF or HF -> BF
> 	conversions.  If there is no optab, handle BF -> {DF,XF,TF,HF}
> 	conversions as separate BF -> SF -> {DF,XF,TF,HF} conversions, add
> 	-ffast-math generic implementation for BF -> SF and SF -> BF
> 	conversions.
> 	* builtin-types.def (BT_BFLOAT16, BT_FN_BFLOAT16_CONST_STRING): New.
> 	* builtins.def (BUILT_IN_NANSF16B): New builtin.
> 	* fold-const-call.cc (fold_const_call): Handle CFN_BUILT_IN_NANSF16B.
> 	* config/i386/i386.cc (classify_argument): Handle E_BCmode.
> 	(ix86_libgcc_floating_mode_supported_p): Also return true for BFmode
> 	for -msse2.
> 	(ix86_mangle_type): Mangle BFmode as DF16b.
> 	(ix86_invalid_conversion, ix86_invalid_unary_op,
> 	ix86_invalid_binary_op): Remove.
> 	(TARGET_INVALID_CONVERSION, TARGET_INVALID_UNARY_OP,
> 	TARGET_INVALID_BINARY_OP): Don't redefine.
> 	* config/i386/i386-builtins.cc (ix86_bf16_type_node): Remove.
> 	(ix86_register_bf16_builtin_type): Use bfloat16_type_node rather than
> 	ix86_bf16_type_node, only create it if still NULL.
> 	* config/i386/i386-builtin-types.def (BFLOAT16): Likewise.
> 	* config/i386/i386.md (cbranchbf4, cstorebf4): New expanders.
> gcc/c-family/
> 	* c-cppbuiltin.cc (c_cpp_builtins): If bfloat16_type_node,
> 	predefine __BFLT16_*__ macros and for C++23 also
> 	__STDCPP_BFLOAT16_T__.  Predefine bfloat16_type_node related
> 	macros for -fbuilding-libgcc.
> 	* c-lex.cc (interpret_float): Handle CPP_N_BFLOAT16.
> gcc/c/
> 	* c-typeck.cc (convert_arguments): Don't promote __bf16 to
> 	double.
> gcc/cp/
> 	* cp-tree.h (extended_float_type_p): Return true for
> 	bfloat16_type_node.
> 	* typeck.cc (cp_compare_floating_point_conversion_ranks): Set
> 	extended{1,2} if mv{1,2} is bfloat16_type_node.  Adjust comment.
> gcc/testsuite/
> 	* lib/target-supports.exp (check_effective_target_bfloat16,
> 	check_effective_target_bfloat16_runtime, add_options_for_bfloat16):
> 	New.
> 	* gcc.dg/torture/bfloat16-basic.c: New test.
> 	* gcc.dg/torture/bfloat16-builtin.c: New test.
> 	* gcc.dg/torture/bfloat16-builtin-issignaling-1.c: New test.
> 	* gcc.dg/torture/bfloat16-complex.c: New test.
> 	* gcc.dg/torture/builtin-issignaling-1.c: Allow to be includable
> 	from bfloat16-builtin-issignaling-1.c.
> 	* gcc.dg/torture/floatn-basic.h: Allow to be includable from
> 	bfloat16-basic.c.
> 	* gcc.target/i386/vect-bfloat16-typecheck_2.c: Adjust expected
> 	diagnostics.
> 	* gcc.target/i386/sse2-bfloat16-scalar-typecheck.c: Likewise.
> 	* gcc.target/i386/vect-bfloat16-typecheck_1.c: Likewise.
> 	* g++.target/i386/bfloat_cpp_typecheck.C: Likewise.
> libcpp/
> 	* include/cpplib.h (CPP_N_BFLOAT16): Define.
> 	* expr.cc (interpret_float_suffix): Handle bf16 and BF16 suffixes for
> 	C++.
> libgcc/
> 	* config/i386/t-softfp (softfp_extensions): Add bfsf.
> 	(softfp_truncations): Add tfbf xfbf dfbf sfbf hfbf.
> 	(CFLAGS-extendbfsf2.c, CFLAGS-truncsfbf2.c, CFLAGS-truncdfbf2.c,
> 	CFLAGS-truncxfbf2.c, CFLAGS-trunctfbf2.c, CFLAGS-trunchfbf2.c): Add
> 	-msse2.
> 	* config/i386/libgcc-glibc.ver (GCC_13.0.0): Export
> 	__extendbfsf2 and __trunc{s,d,x,t,h}fbf2.
> 	* config/i386/sfp-machine.h (_FP_NANSIGN_B): Define.
> 	* config/i386/64/sfp-machine.h (_FP_NANFRAC_B): Define.
> 	* config/i386/32/sfp-machine.h (_FP_NANFRAC_B): Define.
> 	* soft-fp/brain.h: New file.
> 	* soft-fp/truncsfbf2.c: New file.
> 	* soft-fp/truncdfbf2.c: New file.
> 	* soft-fp/truncxfbf2.c: New file.
> 	* soft-fp/trunctfbf2.c: New file.
> 	* soft-fp/trunchfbf2.c: New file.
> 	* soft-fp/truncbfhf2.c: New file.
> 	* soft-fp/extendbfsf2.c: New file.
> libiberty/
> 	* cp-demangle.h (D_BUILTIN_TYPE_COUNT): Increment.
> 	* cp-demangle.c (cplus_demangle_builtin_types): Add std::bfloat16_t
> 	entry.
> 	(cplus_demangle_type): Demangle DF16b.
> 	* testsuite/demangle-expected (_Z3xxxDF16b): New test.
> 
> --- gcc/tree-core.h.jj	2022-10-10 09:31:57.683981308 +0200
> +++ gcc/tree-core.h	2022-10-13 16:57:08.953775013 +0200
> @@ -665,6 +665,9 @@ enum tree_index {
>     TI_DOUBLE_TYPE,
>     TI_LONG_DOUBLE_TYPE,
>   
> +  /* __bf16 type if supported (used in C++ as std::bfloat16_t).  */
> +  TI_BFLOAT16_TYPE,
> +
>     /* The _FloatN and _FloatNx types must be consecutive, and in the
>        same sequence as the corresponding complex types, which must also
>        be consecutive; _FloatN must come before _FloatNx; the order must
> --- gcc/tree.h.jj	2022-10-10 09:31:57.766980149 +0200
> +++ gcc/tree.h	2022-10-13 17:22:14.728207071 +0200
> @@ -4291,6 +4291,7 @@ tree_strip_any_location_wrapper (tree ex
>   #define float_type_node			global_trees[TI_FLOAT_TYPE]
>   #define double_type_node		global_trees[TI_DOUBLE_TYPE]
>   #define long_double_type_node		global_trees[TI_LONG_DOUBLE_TYPE]
> +#define bfloat16_type_node		global_trees[TI_BFLOAT16_TYPE]
>   
>   /* Nodes for particular _FloatN and _FloatNx types in sequence.  */
>   #define FLOATN_TYPE_NODE(IDX)		global_trees[TI_FLOATN_TYPE_FIRST + (IDX)]
> --- gcc/tree.cc.jj	2022-10-10 09:31:57.743980470 +0200
> +++ gcc/tree.cc	2022-10-13 16:57:08.956774972 +0200
> @@ -7711,7 +7711,7 @@ excess_precision_type (tree type)
>       = (flag_excess_precision == EXCESS_PRECISION_FAST
>          ? EXCESS_PRECISION_TYPE_FAST
>          : (flag_excess_precision == EXCESS_PRECISION_FLOAT16
> -	  ? EXCESS_PRECISION_TYPE_FLOAT16 :EXCESS_PRECISION_TYPE_STANDARD));
> +	  ? EXCESS_PRECISION_TYPE_FLOAT16 : EXCESS_PRECISION_TYPE_STANDARD));
>   
>     enum flt_eval_method target_flt_eval_method
>       = targetm.c.excess_precision (requested_type);
> @@ -7736,6 +7736,9 @@ excess_precision_type (tree type)
>     machine_mode float16_type_mode = (float16_type_node
>   				    ? TYPE_MODE (float16_type_node)
>   				    : VOIDmode);
> +  machine_mode bfloat16_type_mode = (bfloat16_type_node
> +				     ? TYPE_MODE (bfloat16_type_node)
> +				     : VOIDmode);
>     machine_mode float_type_mode = TYPE_MODE (float_type_node);
>     machine_mode double_type_mode = TYPE_MODE (double_type_node);
>   
> @@ -7747,16 +7750,19 @@ excess_precision_type (tree type)
>   	switch (target_flt_eval_method)
>   	  {
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> -	    if (type_mode == float16_type_mode)
> +	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode)
>   	      return float_type_node;
>   	    break;
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
>   	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode
>   		|| type_mode == float_type_mode)
>   	      return double_type_node;
>   	    break;
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
>   	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode
>   		|| type_mode == float_type_mode
>   		|| type_mode == double_type_mode)
>   	      return long_double_type_node;
> @@ -7774,16 +7780,19 @@ excess_precision_type (tree type)
>   	switch (target_flt_eval_method)
>   	  {
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> -	    if (type_mode == float16_type_mode)
> +	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode)
>   	      return complex_float_type_node;
>   	    break;
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
>   	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode
>   		|| type_mode == float_type_mode)
>   	      return complex_double_type_node;
>   	    break;
>   	  case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
>   	    if (type_mode == float16_type_mode
> +		|| type_mode == bfloat16_type_mode
>   		|| type_mode == float_type_mode
>   		|| type_mode == double_type_mode)
>   	      return complex_long_double_type_node;
> @@ -9462,6 +9471,17 @@ build_common_tree_nodes (bool signed_cha
>         SET_TYPE_MODE (FLOATN_NX_TYPE_NODE (i), mode);
>       }
>     float128t_type_node = float128_type_node;
> +#ifdef HAVE_BFmode
> +  if (REAL_MODE_FORMAT (BFmode) == &arm_bfloat_half_format
> +      && targetm.scalar_mode_supported_p (BFmode)
> +      && targetm.libgcc_floating_mode_supported_p (BFmode))
> +    {
> +      bfloat16_type_node = make_node (REAL_TYPE);
> +      TYPE_PRECISION (bfloat16_type_node) = GET_MODE_PRECISION (BFmode);
> +      layout_type (bfloat16_type_node);
> +      SET_TYPE_MODE (bfloat16_type_node, BFmode);
> +    }
> +#endif
>   
>     float_ptr_type_node = build_pointer_type (float_type_node);
>     double_ptr_type_node = build_pointer_type (double_type_node);
> --- gcc/expmed.h.jj	2022-10-03 18:00:53.046735271 +0200
> +++ gcc/expmed.h	2022-10-13 16:57:08.957774958 +0200
> @@ -707,6 +707,8 @@ extern rtx expand_variable_shift (enum t
>   				  rtx, tree, rtx, int);
>   extern rtx expand_shift (enum tree_code, machine_mode, rtx, poly_int64, rtx,
>   			 int);
> +extern rtx maybe_expand_shift (enum tree_code, machine_mode, rtx, int, rtx,
> +			       int);
>   #ifdef GCC_OPTABS_H
>   extern rtx expand_divmod (int, enum tree_code, machine_mode, rtx, rtx,
>   			  rtx, int, enum optab_methods = OPTAB_LIB_WIDEN);
> --- gcc/expmed.cc.jj	2022-10-13 16:22:17.755496384 +0200
> +++ gcc/expmed.cc	2022-10-13 16:57:08.957774958 +0200
> @@ -2705,7 +2705,7 @@ expand_shift (enum tree_code code, machi
>   
>   /* Likewise, but return 0 if that cannot be done.  */
>   
> -static rtx
> +rtx
>   maybe_expand_shift (enum tree_code code, machine_mode mode, rtx shifted,
>   		    int amount, rtx target, int unsignedp)
>   {
> --- gcc/expr.cc.jj	2022-10-06 17:43:47.941502119 +0200
> +++ gcc/expr.cc	2022-10-13 16:57:09.022774066 +0200
> @@ -344,7 +344,11 @@ convert_mode_scalar (rtx to, rtx from, i
>         gcc_assert ((GET_MODE_PRECISION (from_mode)
>   		   != GET_MODE_PRECISION (to_mode))
>   		  || (DECIMAL_FLOAT_MODE_P (from_mode)
> -		      != DECIMAL_FLOAT_MODE_P (to_mode)));
> +		      != DECIMAL_FLOAT_MODE_P (to_mode))
> +		  || (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
> +		      && REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
> +		  || (REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
> +		      && REAL_MODE_FORMAT (from_mode) == &ieee_half_format));
>   
>         if (GET_MODE_PRECISION (from_mode) == GET_MODE_PRECISION (to_mode))
>   	/* Conversion between decimal float and binary float, same size.  */
> @@ -364,6 +368,150 @@ convert_mode_scalar (rtx to, rtx from, i
>   	  return;
>   	}
>   
> +#ifdef HAVE_SFmode
> +      if (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
> +	  && REAL_MODE_FORMAT (SFmode) == &ieee_single_format)
> +	{
> +	  if (GET_MODE_PRECISION (to_mode) > GET_MODE_PRECISION (SFmode))
> +	    {
> +	      /* To cut down on libgcc size, implement
> +		 BFmode -> {DF,XF,TF}mode conversions by
> +		 BFmode -> SFmode -> {DF,XF,TF}mode conversions.  */
> +	      rtx temp = gen_reg_rtx (SFmode);
> +	      convert_mode_scalar (temp, from, unsignedp);
> +	      convert_mode_scalar (to, temp, unsignedp);
> +	      return;
> +	    }
> +	  if (REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
> +	    {
> +	      /* Similarly, implement BFmode -> HFmode as
> +		 BFmode -> SFmode -> HFmode conversion where SFmode
> +		 has superset of BFmode values.  We don't need
> +		 to handle sNaNs by raising exception and turning
> +		 into into qNaN though, as that can be done in the
> +		 SFmode -> HFmode conversion too.  */
> +	      rtx temp = gen_reg_rtx (SFmode);
> +	      int save_flag_finite_math_only = flag_finite_math_only;
> +	      flag_finite_math_only = true;
> +	      convert_mode_scalar (temp, from, unsignedp);
> +	      flag_finite_math_only = save_flag_finite_math_only;
> +	      convert_mode_scalar (to, temp, unsignedp);
> +	      return;
> +	    }
> +	  if (to_mode == SFmode
> +	      && !HONOR_NANS (from_mode)
> +	      && !HONOR_NANS (to_mode)
> +	      && optimize_insn_for_speed_p ())
> +	    {
> +	      /* If we don't expect sNaNs, for BFmode -> SFmode we can just
> +		 shift the bits up.  */
> +	      machine_mode fromi_mode, toi_mode;
> +	      if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
> +				     0).exists (&fromi_mode)
> +		  && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
> +					0).exists (&toi_mode))
> +		{
> +		  start_sequence ();
> +		  rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
> +		  rtx tof = NULL_RTX;
> +		  if (fromi)
> +		    {
> +		      rtx toi = gen_reg_rtx (toi_mode);
> +		      convert_mode_scalar (toi, fromi, 1);
> +		      toi
> +			= maybe_expand_shift (LSHIFT_EXPR, toi_mode, toi,
> +					      GET_MODE_PRECISION (to_mode)
> +					      - GET_MODE_PRECISION (from_mode),
> +					      NULL_RTX, 1);
> +		      if (toi)
> +			{
> +			  tof = lowpart_subreg (to_mode, toi, toi_mode);
> +			  if (tof)
> +			    emit_move_insn (to, tof);
> +			}
> +		    }
> +		  insns = get_insns ();
> +		  end_sequence ();
> +		  if (tof)
> +		    {
> +		      emit_insn (insns);
> +		      return;
> +		    }
> +		}
> +	    }
> +	}
> +      if (REAL_MODE_FORMAT (from_mode) == &ieee_single_format
> +	  && REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
> +	  && !HONOR_NANS (from_mode)
> +	  && !HONOR_NANS (to_mode)
> +	  && !flag_rounding_math
> +	  && optimize_insn_for_speed_p ())
> +	{
> +	  /* If we don't expect qNaNs nor sNaNs and can assume rounding
> +	     to nearest, we can expand the conversion inline as
> +	     (fromi + 0x7fff + ((fromi >> 16) & 1)) >> 16.  */
> +	  machine_mode fromi_mode, toi_mode;
> +	  if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
> +				 0).exists (&fromi_mode)
> +	      && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
> +				    0).exists (&toi_mode))
> +	    {
> +	      start_sequence ();
> +	      rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
> +	      rtx tof = NULL_RTX;
> +	      do
> +		{
> +		  if (!fromi)
> +		    break;
> +		  int shift = (GET_MODE_PRECISION (from_mode)
> +			       - GET_MODE_PRECISION (to_mode));
> +		  rtx temp1
> +		    = maybe_expand_shift (RSHIFT_EXPR, fromi_mode, fromi,
> +					  shift, NULL_RTX, 1);
> +		  if (!temp1)
> +		    break;
> +		  rtx temp2
> +		    = expand_binop (fromi_mode, and_optab, temp1, const1_rtx,
> +				    NULL_RTX, 1, OPTAB_DIRECT);
> +		  if (!temp2)
> +		    break;
> +		  rtx temp3
> +		    = expand_binop (fromi_mode, add_optab, fromi,
> +				    gen_int_mode ((HOST_WIDE_INT_1U
> +						   << (shift - 1)) - 1,
> +						  fromi_mode), NULL_RTX,
> +				    1, OPTAB_DIRECT);
> +		  if (!temp3)
> +		    break;
> +		  rtx temp4
> +		    = expand_binop (fromi_mode, add_optab, temp3, temp2,
> +				    NULL_RTX, 1, OPTAB_DIRECT);
> +		  if (!temp4)
> +		    break;
> +		  rtx temp5 = maybe_expand_shift (RSHIFT_EXPR, fromi_mode,
> +						  temp4, shift, NULL_RTX, 1);
> +		  if (!temp5)
> +		    break;
> +		  rtx temp6 = lowpart_subreg (toi_mode, temp5, fromi_mode);
> +		  if (!temp6)
> +		    break;
> +		  tof = lowpart_subreg (to_mode, force_reg (toi_mode, temp6),
> +					toi_mode);
> +		  if (tof)
> +		    emit_move_insn (to, tof);
> +		}
> +	      while (0);
> +	      insns = get_insns ();
> +	      end_sequence ();
> +	      if (tof)
> +		{
> +		  emit_insn (insns);
> +		  return;
> +		}
> +	    }
> +	}
> +#endif
> +
>         /* Otherwise use a libcall.  */
>         libcall = convert_optab_libfunc (tab, to_mode, from_mode);
>   
> --- gcc/builtin-types.def.jj	2022-10-03 18:00:52.658740505 +0200
> +++ gcc/builtin-types.def	2022-10-13 17:09:52.930317869 +0200
> @@ -82,6 +82,9 @@ DEF_PRIMITIVE_TYPE (BT_UNWINDWORD, (*lan
>   DEF_PRIMITIVE_TYPE (BT_FLOAT, float_type_node)
>   DEF_PRIMITIVE_TYPE (BT_DOUBLE, double_type_node)
>   DEF_PRIMITIVE_TYPE (BT_LONGDOUBLE, long_double_type_node)
> +DEF_PRIMITIVE_TYPE (BT_BFLOAT16, (bfloat16_type_node
> +				  ? bfloat16_type_node
> +				  : error_mark_node))
>   DEF_PRIMITIVE_TYPE (BT_FLOAT16, (float16_type_node
>   				 ? float16_type_node
>   				 : error_mark_node))
> @@ -264,6 +267,7 @@ DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT_CONST_S
>   DEF_FUNCTION_TYPE_1 (BT_FN_DOUBLE_CONST_STRING, BT_DOUBLE, BT_CONST_STRING)
>   DEF_FUNCTION_TYPE_1 (BT_FN_LONGDOUBLE_CONST_STRING,
>   		     BT_LONGDOUBLE, BT_CONST_STRING)
> +DEF_FUNCTION_TYPE_1 (BT_FN_BFLOAT16_CONST_STRING, BT_BFLOAT16, BT_CONST_STRING)
>   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT16_CONST_STRING, BT_FLOAT16, BT_CONST_STRING)
>   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT32_CONST_STRING, BT_FLOAT32, BT_CONST_STRING)
>   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT64_CONST_STRING, BT_FLOAT64, BT_CONST_STRING)
> --- gcc/builtins.def.jj	2022-10-03 18:00:52.679740221 +0200
> +++ gcc/builtins.def	2022-10-13 17:09:05.633962625 +0200
> @@ -514,6 +514,7 @@ DEF_GCC_BUILTIN        (BUILT_IN_NANSF,
>   DEF_GCC_BUILTIN        (BUILT_IN_NANSL, "nansl", BT_FN_LONGDOUBLE_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
>   DEF_GCC_FLOATN_NX_BUILTINS (BUILT_IN_NANS, "nans", NAN_TYPE, ATTR_CONST_NOTHROW_NONNULL)
>   #undef NAN_TYPE
> +DEF_GCC_BUILTIN        (BUILT_IN_NANSF16B, "nansf16b", BT_FN_BFLOAT16_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
>   DEF_GCC_BUILTIN        (BUILT_IN_NANSD32, "nansd32", BT_FN_DFLOAT32_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
>   DEF_GCC_BUILTIN        (BUILT_IN_NANSD64, "nansd64", BT_FN_DFLOAT64_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
>   DEF_GCC_BUILTIN        (BUILT_IN_NANSD128, "nansd128", BT_FN_DFLOAT128_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> --- gcc/fold-const-call.cc.jj	2022-09-03 09:35:41.107989686 +0200
> +++ gcc/fold-const-call.cc	2022-10-13 17:20:59.579229947 +0200
> @@ -1301,6 +1301,7 @@ fold_const_call (combined_fn fn, tree ty
>   
>       CASE_CFN_NANS:
>       CASE_FLT_FN_FLOATN_NX (CFN_BUILT_IN_NANS):
> +    case CFN_BUILT_IN_NANSF16B:
>       case CFN_BUILT_IN_NANSD32:
>       case CFN_BUILT_IN_NANSD64:
>       case CFN_BUILT_IN_NANSD128:
> --- gcc/config/i386/i386.cc.jj	2022-10-03 18:00:52.942736674 +0200
> +++ gcc/config/i386/i386.cc	2022-10-13 16:57:09.092773105 +0200
> @@ -2423,6 +2423,7 @@ classify_argument (machine_mode mode, co
>         classes[1] = X86_64_SSEUP_CLASS;
>         return 2;
>       case E_HCmode:
> +    case E_BCmode:
>         classes[0] = X86_64_SSE_CLASS;
>         if (!(bit_offset % 64))
>   	return 1;
> @@ -22428,7 +22429,7 @@ ix86_libgcc_floating_mode_supported_p (s
>        be defined by the C front-end for AVX512FP16 intrinsics.  We will
>        issue an error in ix86_expand_move for HFmode if AVX512FP16 isn't
>        enabled.  */
> -  return ((mode == HFmode && TARGET_SSE2)
> +  return (((mode == HFmode || mode == BFmode) && TARGET_SSE2)
>   	  ? true
>   	  : default_libgcc_floating_mode_supported_p (mode));
>   }
> @@ -22731,7 +22732,7 @@ ix86_mangle_type (const_tree type)
>     switch (TYPE_MODE (type))
>       {
>       case E_BFmode:
> -      return "u6__bf16";
> +      return "DF16b";
>       case E_HFmode:
>         /* _Float16 is "DF16_".
>   	 Align with clang's decision in https://reviews.llvm.org/D33719. */
> @@ -22747,55 +22748,6 @@ ix86_mangle_type (const_tree type)
>       }
>   }
>   
> -/* Return the diagnostic message string if conversion from FROMTYPE to
> -   TOTYPE is not allowed, NULL otherwise.  */
> -
> -static const char *
> -ix86_invalid_conversion (const_tree fromtype, const_tree totype)
> -{
> -  if (element_mode (fromtype) != element_mode (totype))
> -    {
> -      /* Do no allow conversions to/from BFmode scalar types.  */
> -      if (TYPE_MODE (fromtype) == BFmode)
> -	return N_("invalid conversion from type %<__bf16%>");
> -      if (TYPE_MODE (totype) == BFmode)
> -	return N_("invalid conversion to type %<__bf16%>");
> -    }
> -
> -  /* Conversion allowed.  */
> -  return NULL;
> -}
> -
> -/* Return the diagnostic message string if the unary operation OP is
> -   not permitted on TYPE, NULL otherwise.  */
> -
> -static const char *
> -ix86_invalid_unary_op (int op, const_tree type)
> -{
> -  /* Reject all single-operand operations on BFmode except for &.  */
> -  if (element_mode (type) == BFmode && op != ADDR_EXPR)
> -    return N_("operation not permitted on type %<__bf16%>");
> -
> -  /* Operation allowed.  */
> -  return NULL;
> -}
> -
> -/* Return the diagnostic message string if the binary operation OP is
> -   not permitted on TYPE1 and TYPE2, NULL otherwise.  */
> -
> -static const char *
> -ix86_invalid_binary_op (int op ATTRIBUTE_UNUSED, const_tree type1,
> -			   const_tree type2)
> -{
> -  /* Reject all 2-operand operations on BFmode.  */
> -  if (element_mode (type1) == BFmode
> -      || element_mode (type2) == BFmode)
> -    return N_("operation not permitted on type %<__bf16%>");
> -
> -  /* Operation allowed.  */
> -  return NULL;
> -}
> -
>   static GTY(()) tree ix86_tls_stack_chk_guard_decl;
>   
>   static tree
> @@ -24853,15 +24805,6 @@ ix86_libgcc_floating_mode_supported_p
>   #undef TARGET_MANGLE_TYPE
>   #define TARGET_MANGLE_TYPE ix86_mangle_type
>   
> -#undef TARGET_INVALID_CONVERSION
> -#define TARGET_INVALID_CONVERSION ix86_invalid_conversion
> -
> -#undef TARGET_INVALID_UNARY_OP
> -#define TARGET_INVALID_UNARY_OP ix86_invalid_unary_op
> -
> -#undef TARGET_INVALID_BINARY_OP
> -#define TARGET_INVALID_BINARY_OP ix86_invalid_binary_op
> -
>   #undef TARGET_STACK_PROTECT_GUARD
>   #define TARGET_STACK_PROTECT_GUARD ix86_stack_protect_guard
>   
> --- gcc/config/i386/i386-builtins.cc.jj	2022-10-03 18:00:52.918736997 +0200
> +++ gcc/config/i386/i386-builtins.cc	2022-10-13 16:57:09.119772735 +0200
> @@ -126,7 +126,6 @@ BDESC_VERIFYS (IX86_BUILTIN_MAX,
>   static GTY(()) tree ix86_builtin_type_tab[(int) IX86_BT_LAST_CPTR + 1];
>   
>   tree ix86_float16_type_node = NULL_TREE;
> -tree ix86_bf16_type_node = NULL_TREE;
>   tree ix86_bf16_ptr_type_node = NULL_TREE;
>   
>   /* Retrieve an element from the above table, building some of
> @@ -1372,16 +1371,18 @@ ix86_register_float16_builtin_type (void
>   static void
>   ix86_register_bf16_builtin_type (void)
>   {
> -  ix86_bf16_type_node = make_node (REAL_TYPE);
> -  TYPE_PRECISION (ix86_bf16_type_node) = 16;
> -  SET_TYPE_MODE (ix86_bf16_type_node, BFmode);
> -  layout_type (ix86_bf16_type_node);
> +  if (bfloat16_type_node == NULL_TREE)
> +    {
> +      bfloat16_type_node = make_node (REAL_TYPE);
> +      TYPE_PRECISION (bfloat16_type_node) = 16;
> +      SET_TYPE_MODE (bfloat16_type_node, BFmode);
> +      layout_type (bfloat16_type_node);
> +    }
>   
>     if (!maybe_get_identifier ("__bf16") && TARGET_SSE2)
>       {
> -      lang_hooks.types.register_builtin_type (ix86_bf16_type_node,
> -					    "__bf16");
> -      ix86_bf16_ptr_type_node = build_pointer_type (ix86_bf16_type_node);
> +      lang_hooks.types.register_builtin_type (bfloat16_type_node, "__bf16");
> +      ix86_bf16_ptr_type_node = build_pointer_type (bfloat16_type_node);
>       }
>   }
>   
> --- gcc/config/i386/i386-builtin-types.def.jj	2022-10-03 18:00:52.894737321 +0200
> +++ gcc/config/i386/i386-builtin-types.def	2022-10-13 16:57:09.139772460 +0200
> @@ -69,7 +69,7 @@ DEF_PRIMITIVE_TYPE (UINT16, short_unsign
>   DEF_PRIMITIVE_TYPE (INT64, long_long_integer_type_node)
>   DEF_PRIMITIVE_TYPE (UINT64, long_long_unsigned_type_node)
>   DEF_PRIMITIVE_TYPE (FLOAT16, ix86_float16_type_node)
> -DEF_PRIMITIVE_TYPE (BFLOAT16, ix86_bf16_type_node)
> +DEF_PRIMITIVE_TYPE (BFLOAT16, bfloat16_type_node)
>   DEF_PRIMITIVE_TYPE (FLOAT, float_type_node)
>   DEF_PRIMITIVE_TYPE (DOUBLE, double_type_node)
>   DEF_PRIMITIVE_TYPE (FLOAT80, float80_type_node)
> --- gcc/config/i386/i386.md.jj	2022-10-11 15:57:05.005762022 +0200
> +++ gcc/config/i386/i386.md	2022-10-13 16:57:09.187771801 +0200
> @@ -1644,6 +1644,48 @@ (define_expand "cbranch<mode>4"
>     DONE;
>   })
>   
> +(define_expand "cbranchbf4"
> +  [(set (reg:CC FLAGS_REG)
> +	(compare:CC (match_operand:BF 1 "cmp_fp_expander_operand")
> +		    (match_operand:BF 2 "cmp_fp_expander_operand")))
> +   (set (pc) (if_then_else
> +	      (match_operator 0 "comparison_operator"
> +	       [(reg:CC FLAGS_REG)
> +		(const_int 0)])
> +	      (label_ref (match_operand 3))
> +	      (pc)))]
> +  ""
> +{
> +  rtx op1 = gen_lowpart (HImode, operands[1]);
> +  if (CONST_INT_P (op1))
> +    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> +					  operands[1], BFmode);
> +  else
> +    {
> +      rtx t1 = gen_reg_rtx (SImode);
> +      emit_insn (gen_zero_extendhisi2 (t1, op1));
> +      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
> +      op1 = gen_lowpart (SFmode, t1);
> +    }
> +  rtx op2 = gen_lowpart (HImode, operands[2]);
> +  if (CONST_INT_P (op2))
> +    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> +					  operands[2], BFmode);
> +  else
> +    {
> +      rtx t2 = gen_reg_rtx (SImode);
> +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> +      op2 = gen_lowpart (SFmode, t2);
> +    }
> +  do_compare_rtx_and_jump (op1, op2, GET_CODE (operands[0]), 0,
> +			   SFmode, NULL_RTX, NULL,
> +			   as_a <rtx_code_label *> (operands[3]),
> +			   /* Unfortunately this isn't propagated.  */
> +			   profile_probability::even ());
> +  DONE;
> +})
> +
>   (define_expand "cstorehf4"
>     [(set (reg:CC FLAGS_REG)
>   	(compare:CC (match_operand:HF 2 "cmp_fp_expander_operand")
> @@ -1659,6 +1701,45 @@ (define_expand "cstorehf4"
>     DONE;
>   })
>   
> +(define_expand "cstorebf4"
> +  [(set (reg:CC FLAGS_REG)
> +	(compare:CC (match_operand:BF 2 "cmp_fp_expander_operand")
> +		    (match_operand:BF 3 "cmp_fp_expander_operand")))
> +   (set (match_operand:QI 0 "register_operand")
> +	(match_operator 1 "comparison_operator"
> +	  [(reg:CC FLAGS_REG)
> +	   (const_int 0)]))]
> +  ""
> +{
> +  rtx op1 = gen_lowpart (HImode, operands[2]);
> +  if (CONST_INT_P (op1))
> +    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> +					  operands[2], BFmode);
> +  else
> +    {
> +      rtx t1 = gen_reg_rtx (SImode);
> +      emit_insn (gen_zero_extendhisi2 (t1, op1));
> +      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
> +      op1 = gen_lowpart (SFmode, t1);
> +    }
> +  rtx op2 = gen_lowpart (HImode, operands[3]);
> +  if (CONST_INT_P (op2))
> +    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> +					  operands[3], BFmode);
> +  else
> +    {
> +      rtx t2 = gen_reg_rtx (SImode);
> +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> +      op2 = gen_lowpart (SFmode, t2);
> +    }
> +  rtx res = emit_store_flag_force (operands[0], GET_CODE (operands[1]),
> +				   op1, op2, SFmode, 0, 1);
> +  if (!rtx_equal_p (res, operands[0]))
> +    emit_move_insn (operands[0], res);
> +  DONE;
> +})
> +
>   (define_expand "cstore<mode>4"
>     [(set (reg:CC FLAGS_REG)
>   	(compare:CC (match_operand:MODEF 2 "cmp_fp_expander_operand")
> --- gcc/c-family/c-cppbuiltin.cc.jj	2022-10-13 08:41:04.718165419 +0200
> +++ gcc/c-family/c-cppbuiltin.cc	2022-10-13 17:51:07.722665421 +0200
> @@ -1260,6 +1260,13 @@ c_cpp_builtins (cpp_reader *pfile)
>         builtin_define_float_constants (prefix, ggc_strdup (csuffix), "%s",
>   				      csuffix, FLOATN_NX_TYPE_NODE (i));
>       }
> +  if (bfloat16_type_node)
> +    {
> +      if (c_dialect_cxx () && cxx_dialect > cxx20)
> +	cpp_define (pfile, "__STDCPP_BFLOAT16_T__=1");
> +      builtin_define_float_constants ("BFLT16", "BF16", "%s",
> +				      "BF16", bfloat16_type_node);
> +    }
>   
>     /* For float.h.  */
>     if (targetm.decimal_float_supported_p ())
> @@ -1370,6 +1377,12 @@ c_cpp_builtins (cpp_reader *pfile)
>   	      suffix[0] = 'l';
>   	      memcpy (float_h_prefix, "LDBL", 5);
>   	    }
> +	  else if (bfloat16_type_node
> +		   && mode == TYPE_MODE (bfloat16_type_node))
> +	    {
> +	      memcpy (suffix, "bf16", 5);
> +	      memcpy (float_h_prefix, "BFLT16", 7);
> +	    }
>   	  else
>   	    {
>   	      bool found_suffix = false;
> @@ -1396,22 +1409,28 @@ c_cpp_builtins (cpp_reader *pfile)
>   	  machine_mode float16_type_mode = (float16_type_node
>   					    ? TYPE_MODE (float16_type_node)
>   					    : VOIDmode);
> +	  machine_mode bfloat16_type_mode = (bfloat16_type_node
> +					     ? TYPE_MODE (bfloat16_type_node)
> +					     : VOIDmode);
>   	  switch (targetm.c.excess_precision
>   		    (EXCESS_PRECISION_TYPE_IMPLICIT))
>   	    {
>   	    case FLT_EVAL_METHOD_UNPREDICTABLE:
>   	    case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
>   	      excess_precision = (mode == float16_type_mode
> +				  || mode == bfloat16_type_mode
>   				  || mode == TYPE_MODE (float_type_node)
>   				  || mode == TYPE_MODE (double_type_node));
>   	      break;
>   
>   	    case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
>   	      excess_precision = (mode == float16_type_mode
> +				  || mode == bfloat16_type_mode
>   				  || mode == TYPE_MODE (float_type_node));
>   	      break;
>   	    case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> -	      excess_precision = mode == float16_type_mode;
> +	      excess_precision = (mode == float16_type_mode
> +				  || mode == bfloat16_type_mode);
>   	      break;
>   	    case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT16:
>   	      excess_precision = false;
> --- gcc/c-family/c-lex.cc.jj	2022-10-13 16:21:52.548842666 +0200
> +++ gcc/c-family/c-lex.cc	2022-10-13 16:59:51.778540099 +0200
> @@ -1000,6 +1000,22 @@ interpret_float (const cpp_token *token,
>   	  pedwarn (input_location, OPT_Wpedantic,
>   		   "non-standard suffix on floating constant");
>         }
> +    else if ((flags & CPP_N_BFLOAT16) != 0)
> +      {
> +	type = bfloat16_type_node;
> +	if (type == NULL_TREE)
> +	  {
> +	    error ("unsupported non-standard suffix on floating constant");
> +	    return error_mark_node;
> +	  }
> +	if (!c_dialect_cxx ())
> +	  pedwarn (input_location, OPT_Wpedantic,
> +		   "non-standard suffix on floating constant");
> +	else if (cxx_dialect < cxx23)
> +	  pedwarn (input_location, OPT_Wpedantic,
> +		   "%<bf16%> or %<BF16%> suffix on floating constant only "
> +		   "available with %<-std=c++2b%> or %<-std=gnu++2b%>");
> +      }
>       else if ((flags & CPP_N_WIDTH) == CPP_N_LARGE)
>         type = long_double_type_node;
>       else if ((flags & CPP_N_WIDTH) == CPP_N_SMALL
> --- gcc/c/c-typeck.cc.jj	2022-10-06 17:43:47.900502672 +0200
> +++ gcc/c/c-typeck.cc	2022-10-13 16:57:09.226771266 +0200
> @@ -3678,6 +3678,9 @@ convert_arguments (location_t loc, vec<l
>   		promote_float_arg = false;
>   		break;
>   	      }
> +	  /* Don't promote __bf16 either.  */
> +	  if (TYPE_MAIN_VARIANT (valtype) == bfloat16_type_node)
> +	    promote_float_arg = false;
>   	}
>   
>         if (type != NULL_TREE)
> --- gcc/cp/cp-tree.h.jj	2022-10-13 16:21:52.600841952 +0200
> +++ gcc/cp/cp-tree.h	2022-10-13 16:57:09.241771060 +0200
> @@ -8741,6 +8741,8 @@ extended_float_type_p (tree type)
>     for (int i = 0; i < NUM_FLOATN_NX_TYPES; ++i)
>       if (type == FLOATN_TYPE_NODE (i))
>         return true;
> +  if (type == bfloat16_type_node)
> +    return true;
>     return false;
>   }
>   
> --- gcc/cp/typeck.cc.jj	2022-10-13 16:21:52.642841375 +0200
> +++ gcc/cp/typeck.cc	2022-10-13 16:57:09.269770676 +0200
> @@ -293,6 +293,10 @@ cp_compare_floating_point_conversion_ran
>         if (mv2 == FLOATN_NX_TYPE_NODE (i))
>   	extended2 = i + 1;
>       }
> +  if (mv1 == bfloat16_type_node)
> +    extended1 = true;
> +  if (mv2 == bfloat16_type_node)
> +    extended2 = true;
>     if (extended2 && !extended1)
>       {
>         int ret = cp_compare_floating_point_conversion_ranks (t2, t1);
> @@ -390,7 +394,9 @@ cp_compare_floating_point_conversion_ran
>     if (cnt > 1 && mv2 == long_double_type_node)
>       return -2;
>     /* Otherwise, they have equal rank, but extended types
> -     (other than std::bfloat16_t) have higher subrank.  */
> +     (other than std::bfloat16_t) have higher subrank.
> +     std::bfloat16_t shouldn't have equal rank to any standard
> +     floating point type.  */
>     return 1;
>   }
>   
> --- gcc/testsuite/lib/target-supports.exp.jj	2022-10-11 14:50:14.472773574 +0200
> +++ gcc/testsuite/lib/target-supports.exp	2022-10-13 16:57:09.270770662 +0200
> @@ -3416,6 +3416,22 @@ proc check_effective_target_base_quadflo
>       return 1
>   }
>   
> +# Return 1 if the target supports the __bf16 type, 0 otherwise.
> +
> +proc check_effective_target_bfloat16 {} {
> +    return [check_no_compiler_messages_nocache bfloat16 object {
> +	__bf16 foo (__bf16 x) { return x + x; }
> +    } [add_options_for_bfloat16 ""]]
> +}
> +
> +proc check_effective_target_bfloat16_runtime {} {
> +    return [check_effective_target_bfloat16]
> +}
> +
> +proc add_options_for_bfloat16 { flags } {
> +    return "$flags"
> +}
> +
>   # Return 1 if the target supports all four forms of fused multiply-add
>   # (fma, fms, fnma, and fnms) for both float and double.
>   
> --- gcc/testsuite/gcc.dg/torture/bfloat16-basic.c.jj	2022-10-13 16:57:09.271770648 +0200
> +++ gcc/testsuite/gcc.dg/torture/bfloat16-basic.c	2022-10-13 17:32:28.531884882 +0200
> @@ -0,0 +1,11 @@
> +/* Test __bf16.  */
> +/* { dg-do run } */
> +/* { dg-options "" } */
> +/* { dg-add-options bfloat16 } */
> +/* { dg-require-effective-target bfloat16_runtime } */
> +
> +#define TYPE __bf16
> +#define CST(C) CONCAT (C, bf16)
> +#define CSTU(C) CONCAT (C, BF16)
> +
> +#include "floatn-basic.h"
> --- gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c.jj	2022-10-13 16:57:09.271770648 +0200
> +++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c	2022-10-13 18:09:24.288913634 +0200
> @@ -0,0 +1,47 @@
> +/* Test __bf16 built-in functions.  */
> +/* { dg-do run } */
> +/* { dg-options "" } */
> +/* { dg-add-options bfloat16 } */
> +/* { dg-add-options ieee } */
> +/* { dg-require-effective-target bfloat16_runtime } */
> +
> +extern void exit (int);
> +extern void abort (void);
> +
> +extern __bf16 test_type;
> +extern __typeof (__builtin_nansf16b ("")) test_type;
> +
> +volatile __bf16 inf_cst = (__bf16) __builtin_inff ();
> +volatile __bf16 huge_val_cst = (__bf16) __builtin_huge_valf ();
> +volatile __bf16 nan_cst = (__bf16) __builtin_nanf ("");
> +volatile __bf16 nans_cst = __builtin_nansf16b ("");
> +volatile __bf16 neg0 = -0.0bf16, neg1 = -1.0bf16, one = 1.0;
> +
> +int
> +main (void)
> +{
> +  volatile __bf16 r;
> +  if (!__builtin_isinf (inf_cst))
> +    abort ();
> +  if (!__builtin_isinf (huge_val_cst))
> +    abort ();
> +  if (inf_cst != huge_val_cst)
> +    abort ();
> +  if (!__builtin_isnan (nan_cst))
> +    abort ();
> +  if (!__builtin_isnan (nans_cst))
> +    abort ();
> +  r = __builtin_fabsf (neg1);
> +  if (r != 1.0bf16)
> +    abort ();
> +  r = __builtin_copysignf (one, neg0);
> +  if (r != neg1)
> +    abort ();
> +  r = __builtin_copysignf (inf_cst, neg1);
> +  if (r != -huge_val_cst)
> +    abort ();
> +  r = __builtin_copysignf (-inf_cst, one);
> +  if (r != huge_val_cst)
> +    abort ();
> +  exit (0);
> +}
> --- gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c.jj	2022-10-13 16:57:09.271770648 +0200
> +++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c	2022-10-13 17:40:15.067555349 +0200
> @@ -0,0 +1,21 @@
> +/* Test __bf16 __builtin_issignaling.  */
> +/* { dg-do run } */
> +/* { dg-options "" } */
> +/* { dg-add-options bfloat16 } */
> +/* { dg-add-options ieee } */
> +/* { dg-require-effective-target bfloat16_runtime } */
> +/* { dg-additional-options "-fsignaling-nans" } */
> +/* Workaround for PR57484 on ia32: */
> +/* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
> +
> +#define CONCATX(X, Y) X ## Y
> +#define CONCAT(X, Y) CONCATX (X, Y)
> +
> +#define TYPE __bf16
> +#define CST(C) CONCAT (C, bf16)
> +#define FN(F) CONCAT (F, f16b)
> +#define NAN(x) ((__bf16) __builtin_nanf (x))
> +#define INF ((__bf16) __builtin_inff ())
> +#define EXT 0
> +
> +#include "builtin-issignaling-1.c"
> --- gcc/testsuite/gcc.dg/torture/bfloat16-complex.c.jj	2022-10-13 16:57:09.271770648 +0200
> +++ gcc/testsuite/gcc.dg/torture/bfloat16-complex.c	2022-10-13 17:46:43.259267724 +0200
> @@ -0,0 +1,61 @@
> +/* Test __bf16 complex arithmetic.  */
> +/* { dg-do run } */
> +/* { dg-options "" } */
> +/* { dg-add-options bfloat16 } */
> +/* { dg-require-effective-target bfloat16_runtime } */
> +
> +extern void exit (int);
> +extern void abort (void);
> +
> +volatile __bf16 a = 1.0bf16;
> +typedef _Complex float __cbf16 __attribute__((__mode__(__BC__)));
> +volatile __cbf16 b = __builtin_complex (2.0bf16, 3.0bf16);
> +volatile __cbf16 c = __builtin_complex (2.0bf16, 3.0bf16);
> +volatile __cbf16 d = __builtin_complex (2.0bf16, 3.0bf16);
> +
> +__cbf16
> +fn (__cbf16 arg)
> +{
> +  return arg / 4;
> +}
> +
> +int
> +main (void)
> +{
> +  volatile __cbf16 r;
> +  if (b != c)
> +    abort ();
> +  if (b != d)
> +    abort ();
> +  r = a + b;
> +  if (__real__ r != 3.0bf16 || __imag__ r != 3.0bf16)
> +    abort ();
> +  r += d;
> +  if (__real__ r != 5.0bf16 || __imag__ r != 6.0bf16)
> +    abort ();
> +  r -= a;
> +  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
> +    abort ();
> +  r /= (a + a);
> +  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
> +    abort ();
> +  r *= (a + a);
> +  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
> +    abort ();
> +  r -= b;
> +  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
> +    abort ();
> +  r *= r;
> +  if (__real__ r != -5.0bf16 || __imag__ r != 12.0bf16)
> +    abort ();
> +  /* Division may not be exact, so round result before comparing.  */
> +  r /= b;
> +  r += __builtin_complex (100.0bf16, 100.0bf16);
> +  r -= __builtin_complex (100.0bf16, 100.0bf16);
> +  if (r != b)
> +    abort ();
> +  r = fn (r);
> +  if (__real__ r != 0.5bf16 || __imag__ r != 0.75bf16)
> +    abort ();
> +  exit (0);
> +}
> --- gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c.jj	2022-10-03 18:00:53.118734300 +0200
> +++ gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c	2022-10-13 17:39:19.387313780 +0200
> @@ -4,7 +4,7 @@
>   /* Workaround for PR57484 on ia32: */
>   /* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
>   
> -#ifndef EXT
> +#if !defined(EXT) && !defined(TYPE)
>   int
>   f1 (void)
>   {
> @@ -41,31 +41,42 @@ f6 (long double x)
>     return __builtin_issignaling (x);
>   }
>   #else
> -#define CONCATX(X, Y) X ## Y
> -#define CONCAT(X, Y) CONCATX (X, Y)
> -#define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
> -#define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
> -
> -#if EXT
> -# define TYPE CONCAT3 (_Float, WIDTH, x)
> -# define CST(C) CONCAT4 (C, f, WIDTH, x)
> -# define FN(F) CONCAT4 (F, f, WIDTH, x)
> -#else
> -# define TYPE CONCAT (_Float, WIDTH)
> -# define CST(C) CONCAT3 (C, f, WIDTH)
> -# define FN(F) CONCAT3 (F, f, WIDTH)
> +#ifndef TYPE
> +# define CONCATX(X, Y) X ## Y
> +# define CONCAT(X, Y) CONCATX (X, Y)
> +# define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
> +# define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
> +
> +# if EXT
> +#  define TYPE CONCAT3 (_Float, WIDTH, x)
> +#  define CST(C) CONCAT4 (C, f, WIDTH, x)
> +#  define FN(F) CONCAT4 (F, f, WIDTH, x)
> +# else
> +#  define TYPE CONCAT (_Float, WIDTH)
> +#  define CST(C) CONCAT3 (C, f, WIDTH)
> +#  define FN(F) CONCAT3 (F, f, WIDTH)
> +# endif
> +#endif
> +#ifndef NANS
> +# define NANS(x) FN (__builtin_nans) (x)
> +#endif
> +#ifndef NAN
> +# define NAN(x) FN (__builtin_nan) (x)
> +#endif
> +#ifndef INF
> +# define INF FN (__builtin_inf) ()
>   #endif
>   
>   int
>   f1 (void)
>   {
> -  return __builtin_issignaling (FN (__builtin_nans) (""));
> +  return __builtin_issignaling (NANS (""));
>   }
>   
>   int
>   f2 (void)
>   {
> -  return __builtin_issignaling (FN (__builtin_nan) (""));
> +  return __builtin_issignaling (NAN (""));
>   }
>   
>   int
> @@ -118,10 +129,10 @@ main ()
>     if (!f6 (z))
>       __builtin_abort ();
>   #else
> -  if (f4 (w) || !f4 (FN (__builtin_nans) ("0x123")) || f4 (CST (42.0)) || f4 (FN (__builtin_nan) ("0x234"))
> -      || f4 (FN (__builtin_inf) ()) || f4 (-FN (__builtin_inf) ()) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
> +  if (f4 (w) || !f4 (NANS ("0x123")) || f4 (CST (42.0)) || f4 (NAN ("0x234"))
> +      || f4 (INF) || f4 (-INF) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
>       __builtin_abort ();
> -  w = FN (__builtin_nans) ("");
> +  w = NANS ("");
>     asm volatile ("" : : : "memory");
>     if (!f4 (w))
>       __builtin_abort ();
> --- gcc/testsuite/gcc.dg/torture/floatn-basic.h.jj	2022-10-03 18:00:53.118734300 +0200
> +++ gcc/testsuite/gcc.dg/torture/floatn-basic.h	2022-10-13 16:57:09.285770456 +0200
> @@ -9,14 +9,16 @@
>   #define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
>   #define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
>   
> -#if EXT
> -# define TYPE CONCAT3 (_Float, WIDTH, x)
> -# define CST(C) CONCAT4 (C, f, WIDTH, x)
> -# define CSTU(C) CONCAT4 (C, F, WIDTH, x)
> -#else
> -# define TYPE CONCAT (_Float, WIDTH)
> -# define CST(C) CONCAT3 (C, f, WIDTH)
> -# define CSTU(C) CONCAT3 (C, F, WIDTH)
> +#ifndef TYPE
> +# if EXT
> +#  define TYPE CONCAT3 (_Float, WIDTH, x)
> +#  define CST(C) CONCAT4 (C, f, WIDTH, x)
> +#  define CSTU(C) CONCAT4 (C, F, WIDTH, x)
> +# else
> +#  define TYPE CONCAT (_Float, WIDTH)
> +#  define CST(C) CONCAT3 (C, f, WIDTH)
> +#  define CSTU(C) CONCAT3 (C, F, WIDTH)
> +# endif
>   #endif
>   
>   extern void exit (int);
> --- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c.jj	2022-10-03 18:00:53.137734043 +0200
> +++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c	2022-10-13 16:57:09.306770168 +0200
> @@ -45,19 +45,19 @@ __m256bf16 footest (__m256bf16 vector0)
>     __m256bf16 vector2_1 = {};
>     __m256bf16 vector2_2 = { glob_bfloat };
>     __m256bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
> -  __m256bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error "invalid conversion to type '__bf16'" } */
> -
> -  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m256h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m256i initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __v16hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> +  __m256bf16 vector2_4 = { 0 };
> +  __m256bf16 vector2_5 = { 0.1 };
> +  __m256bf16 vector2_6 = { is_a_float16 };
> +  __m256bf16 vector2_7 = { is_a_float };
> +  __m256bf16 vector2_8 = { is_an_int };
> +  __m256bf16 vector2_9 = { is_a_short_int };
> +  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
> +
> +  __v8si initi_2_1 = { glob_bfloat };
> +  __m256 initi_2_2 = { glob_bfloat };
> +  __m256h initi_2_3 = { glob_bfloat };
> +  __m256i initi_2_5 = { glob_bfloat };
> +  __v16hi initi_2_6 = { glob_bfloat };
>   
>     /* Assignments to/from vectors.  */
>   
> @@ -79,25 +79,25 @@ __m256bf16 footest (__m256bf16 vector0)
>     /* Assignments to/from elements.  */
>   
>     vector2_3[0] = glob_bfloat;
> -  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> +  vector2_3[0] = is_an_int;
> +  vector2_3[0] = is_a_short_int;
> +  vector2_3[0] = is_a_float;
> +  vector2_3[0] = is_a_float16;
> +  vector2_3[0] = 0;
> +  vector2_3[0] = 0.1;
>   
>     glob_bfloat = vector2_3[0];
> -  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  is_an_int = vector2_3[0];
> +  is_a_short_int = vector2_3[0];
> +  is_a_float = vector2_3[0];
> +  is_a_float16 = vector2_3[0];
>   
>     /* Compound literals.  */
>   
>     (__m256bf16) {};
>   
> -  (__m256bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__m256bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> +  (__m256bf16) { 0 };
> +  (__m256bf16) { 0.1 };
>     (__m256bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
>     (__m256bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
>     (__m256bf16) { is_a_long_int_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256i'} } */
> @@ -176,16 +176,16 @@ __m256bf16 footest (__m256bf16 vector0)
>     bfloat_ptr = &bfloat_ptr3[1];
>   
>     /* Simple comparison.  */
> -  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  vector0 > glob_bfloat_vec;
> +  glob_bfloat_vec == vector0;
> +  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
> +  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> +  vector0 > 0;
> +  0 == vector0;
> +  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> +  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> +  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
> +  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
>   
>     /* Pointer comparison.  */
>   
> @@ -224,24 +224,24 @@ __m256bf16 footest (__m256bf16 vector0)
>   
>     /* Unary operators.  */
>   
> -  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  +vector0;
> +  -vector0;
> +  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
> +  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
>     *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
> -  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  __real vector0; /* { dg-error {wrong type argument to __real} } */
> +  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
> +  ++vector0;
> +  --vector0;
> +  vector0++;
> +  vector0--;
>   
>     /* Binary arithmetic operations.  */
>   
> -  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  vector0 = glob_bfloat_vec + *bfloat_ptr;
> +  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> +  vector0 = glob_bfloat_vec + 0;
> +  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
>   
>     return vector0;
>   }
> --- gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c.jj	2022-10-03 18:00:53.136734057 +0200
> +++ gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c	2022-10-13 16:57:09.327769880 +0200
> @@ -12,8 +12,8 @@ double is_a_double;
>   
>   float *float_ptr;
>   
> -__bf16 foo1 (void) { return (__bf16) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
> -__bf16 foo2 (void) { return (__bf16) (short) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
> +__bf16 foo1 (void) { return (__bf16) 0x1234; }
> +__bf16 foo2 (void) { return (__bf16) (short) 0x1234; }
>   
>   __bf16 footest (__bf16 scalar0)
>   {
> @@ -22,87 +22,87 @@ __bf16 footest (__bf16 scalar0)
>   
>     __bf16 scalar1_1;
>     __bf16 scalar1_2 = glob_bfloat;
> -  __bf16 scalar1_3 = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_4 = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_5 = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_6 = is_an_int;  /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_7 = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_8 = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar1_9 = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -
> -  int initi_1_1 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  float initi_1_2 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  _Float16 initi_1_3 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  short initi_1_4 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  double initi_1_5 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  __bf16 scalar1_3 = 0;
> +  __bf16 scalar1_4 = 0.1;
> +  __bf16 scalar1_5 = is_a_float;
> +  __bf16 scalar1_6 = is_an_int;
> +  __bf16 scalar1_7 = is_a_float16;
> +  __bf16 scalar1_8 = is_a_double;
> +  __bf16 scalar1_9 = is_a_short_int;
> +
> +  int initi_1_1 = glob_bfloat;
> +  float initi_1_2 = glob_bfloat;
> +  _Float16 initi_1_3 = glob_bfloat;
> +  short initi_1_4 = glob_bfloat;
> +  double initi_1_5 = glob_bfloat;
>   
>     __bf16 scalar2_1 = {};
>     __bf16 scalar2_2 = { glob_bfloat };
> -  __bf16 scalar2_3 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_4 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_5 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_6 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_7 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_8 = { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 scalar2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -
> -  int initi_2_1 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  float initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  _Float16 initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  short initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  double initi_2_5 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  __bf16 scalar2_3 = { 0 };
> +  __bf16 scalar2_4 = { 0.1 };
> +  __bf16 scalar2_5 = { is_a_float };
> +  __bf16 scalar2_6 = { is_an_int };
> +  __bf16 scalar2_7 = { is_a_float16 };
> +  __bf16 scalar2_8 = { is_a_double };
> +  __bf16 scalar2_9 = { is_a_short_int };
> +
> +  int initi_2_1 = { glob_bfloat };
> +  float initi_2_2 = { glob_bfloat };
> +  _Float16 initi_2_3 = { glob_bfloat };
> +  short initi_2_4 = { glob_bfloat };
> +  double initi_2_5 = { glob_bfloat };
>   
>     /* Assignments.  */
>   
>     glob_bfloat = glob_bfloat;
> -  glob_bfloat = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  glob_bfloat = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -
> -  is_an_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float16 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_double = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_short_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  glob_bfloat = 0;
> +  glob_bfloat = 0.1;
> +  glob_bfloat = is_a_float;
> +  glob_bfloat = is_an_int;
> +  glob_bfloat = is_a_float16;
> +  glob_bfloat = is_a_double;
> +  glob_bfloat = is_a_short_int;
> +
> +  is_an_int = glob_bfloat;
> +  is_a_float = glob_bfloat;
> +  is_a_float16 = glob_bfloat;
> +  is_a_double = glob_bfloat;
> +  is_a_short_int = glob_bfloat;
>   
>     /* Casting.  */
>   
>     (void) glob_bfloat;
>     (__bf16) glob_bfloat;
>   
> -  (int) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (float) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (_Float16) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (double) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (short) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> -
> -  (__bf16) is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> +  (int) glob_bfloat;
> +  (float) glob_bfloat;
> +  (_Float16) glob_bfloat;
> +  (double) glob_bfloat;
> +  (short) glob_bfloat;
> +
> +  (__bf16) is_an_int;
> +  (__bf16) is_a_float;
> +  (__bf16) is_a_float16;
> +  (__bf16) is_a_double;
> +  (__bf16) is_a_short_int;
>   
>     /* Compound literals.  */
>   
>     (__bf16) {};
>     (__bf16) { glob_bfloat };
> -  (__bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__bf16) { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -
> -  (int) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (float) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (_Float16) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (double) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  (short) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  (__bf16) { 0 };
> +  (__bf16) { 0.1 };
> +  (__bf16) { is_a_float };
> +  (__bf16) { is_an_int };
> +  (__bf16) { is_a_float16 };
> +  (__bf16) { is_a_double };
> +  (__bf16) { is_a_short_int };
> +
> +  (int) { glob_bfloat };
> +  (float) { glob_bfloat };
> +  (_Float16) { glob_bfloat };
> +  (double) { glob_bfloat };
> +  (short) { glob_bfloat };
>   
>     /* Arrays and Structs.  */
>   
> @@ -145,16 +145,16 @@ __bf16 footest (__bf16 scalar0)
>     bfloat_ptr = &bfloat_ptr3[1];
>   
>     /* Simple comparison.  */
> -  scalar0 > glob_bfloat; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  glob_bfloat == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 > is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_a_float == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0.1 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 > is_an_int; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_an_int == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  scalar0 > glob_bfloat;
> +  glob_bfloat == scalar0;
> +  scalar0 > is_a_float;
> +  is_a_float == scalar0;
> +  scalar0 > 0;
> +  0 == scalar0;
> +  scalar0 > 0.1;
> +  0.1 == scalar0;
> +  scalar0 > is_an_int;
> +  is_an_int == scalar0;
>   
>     /* Pointer comparison.  */
>   
> @@ -174,41 +174,41 @@ __bf16 footest (__bf16 scalar0)
>     /* Conditional expressions.  */
>   
>     0 ? scalar0 : scalar0;
> -  0 ? scalar0 : is_a_float; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  0 ? is_a_float : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  0 ? scalar0 : 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  0 ? 0 : scalar0; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  0 ? 0.1 : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  0 ? scalar0 : 0.1; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  0 ? scalar0 : is_a_float;
> +  0 ? is_a_float : scalar0;
> +  0 ? scalar0 : 0;
> +  0 ? 0 : scalar0;
> +  0 ? 0.1 : scalar0;
> +  0 ? scalar0 : 0.1;
>     0 ? bfloat_ptr : bfloat_ptr2;
>     0 ? bfloat_ptr : float_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
>     0 ? float_ptr : bfloat_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
>   
> -  scalar0 ? scalar0 : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 ? is_a_float : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 ? scalar0 : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 ? is_a_float : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  scalar0 ? scalar0 : scalar0;
> +  scalar0 ? is_a_float : scalar0;
> +  scalar0 ? scalar0 : is_a_float;
> +  scalar0 ? is_a_float : is_a_float;
>   
>     /* Unary operators.  */
>   
> -  +scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  -scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ~scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  !scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  +scalar0;
> +  -scalar0;
> +  ~scalar0; /* { dg-error {wrong type argument to bit-complement} } */
> +  !scalar0;
>     *scalar0; /* { dg-error {invalid type argument of unary '\*'} } */
> -  __real scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  __imag scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ++scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  --scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  __real scalar0;
> +  __imag scalar0;
> +  ++scalar0;
> +  --scalar0;
> +  scalar0++;
> +  scalar0--;
>   
>     /* Binary arithmetic operations.  */
>   
> -  scalar0 = glob_bfloat + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 = glob_bfloat + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 = glob_bfloat + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  scalar0 = glob_bfloat + is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  scalar0 = glob_bfloat + *bfloat_ptr;
> +  scalar0 = glob_bfloat + 0.1;
> +  scalar0 = glob_bfloat + 0;
> +  scalar0 = glob_bfloat + is_a_float;
>   
>     return scalar0;
>   }
> --- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c.jj	2022-10-03 18:00:53.136734057 +0200
> +++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c	2022-10-13 16:57:09.344769646 +0200
> @@ -48,20 +48,20 @@ __m128bf16 footest (__m128bf16 vector0)
>     __m128bf16 vector2_1 = {};
>     __m128bf16 vector2_2 = { glob_bfloat };
>     __m128bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
> -  __m128bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -
> -  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m128h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __m128 initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __v4si initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> -  __v4hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> +  __m128bf16 vector2_4 = { 0 };
> +  __m128bf16 vector2_5 = { 0.1 };
> +  __m128bf16 vector2_6 = { is_a_float16 };
> +  __m128bf16 vector2_7 = { is_a_float };
> +  __m128bf16 vector2_8 = { is_an_int };
> +  __m128bf16 vector2_9 = { is_a_short_int };
> +  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
> +
> +  __v8si initi_2_1 = { glob_bfloat };
> +  __m256 initi_2_2 = { glob_bfloat };
> +  __m128h initi_2_3 = { glob_bfloat };
> +  __m128 initi_2_4 = { glob_bfloat };
> +  __v4si initi_2_5 = { glob_bfloat };
> +  __v4hi initi_2_6 = { glob_bfloat };
>   
>     /* Assignments to/from vectors.  */
>   
> @@ -85,25 +85,25 @@ __m128bf16 footest (__m128bf16 vector0)
>     /* Assignments to/from elements.  */
>   
>     vector2_3[0] = glob_bfloat;
> -  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> +  vector2_3[0] = is_an_int;
> +  vector2_3[0] = is_a_short_int;
> +  vector2_3[0] = is_a_float;
> +  vector2_3[0] = is_a_float16;
> +  vector2_3[0] = 0;
> +  vector2_3[0] = 0.1;
>   
>     glob_bfloat = vector2_3[0];
> -  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> -  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> +  is_an_int = vector2_3[0];
> +  is_a_short_int = vector2_3[0];
> +  is_a_float = vector2_3[0];
> +  is_a_float16 = vector2_3[0];
>   
>     /* Compound literals.  */
>   
>     (__m128bf16) {};
>   
> -  (__m128bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> -  (__m128bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> +  (__m128bf16) { 0 };
> +  (__m128bf16) { 0.1 };
>     (__m128bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
>     (__m128bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
>     (__m128bf16) { is_a_float_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m128'} } */
> @@ -186,16 +186,16 @@ __m128bf16 footest (__m128bf16 vector0)
>     bfloat_ptr = &bfloat_ptr3[1];
>   
>     /* Simple comparison.  */
> -  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  vector0 > glob_bfloat_vec;
> +  glob_bfloat_vec == vector0;
> +  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
> +  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> +  vector0 > 0;
> +  0 == vector0;
> +  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> +  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> +  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
> +  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
>   
>     /* Pointer comparison.  */
>   
> @@ -234,24 +234,24 @@ __m128bf16 footest (__m128bf16 vector0)
>   
>     /* Unary operators.  */
>   
> -  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  +vector0;
> +  -vector0;
> +  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
> +  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
>     *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
> -  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  __real vector0; /* { dg-error {wrong type argument to __real} } */
> +  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
> +  ++vector0;
> +  --vector0;
> +  vector0++;
> +  vector0--;
>   
>     /* Binary arithmetic operations.  */
>   
> -  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> -  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> +  vector0 = glob_bfloat_vec + *bfloat_ptr;
> +  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> +  vector0 = glob_bfloat_vec + 0;
> +  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
>   
>     return vector0;
>   }
> --- gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C.jj	2022-10-03 18:00:53.109734421 +0200
> +++ gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C	2022-10-13 16:57:09.362769399 +0200
> @@ -5,6 +5,6 @@ void foo (void)
>   {
>     __bf16 (); /* { dg-bogus {invalid conversion to type '__bf16'} } */
>     __bf16 a = __bf16(); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> -  __bf16 (0x1234); /* { dg-error {invalid conversion to type '__bf16'} } */
> -  __bf16 (0.1); /* { dg-error {invalid conversion to type '__bf16'} } */
> +  __bf16 (0x1234); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> +  __bf16 (0.1); /* { dg-bogus {invalid conversion to type '__bf16'} } */
>   }
> --- libcpp/include/cpplib.h.jj	2022-10-03 18:00:53.251732506 +0200
> +++ libcpp/include/cpplib.h	2022-10-13 16:57:09.384769097 +0200
> @@ -1275,6 +1275,7 @@ struct cpp_num
>   #define CPP_N_USERDEF	0x1000000 /* C++11 user-defined literal.  */
>   
>   #define CPP_N_SIZE_T	0x2000000 /* C++23 size_t literal.  */
> +#define CPP_N_BFLOAT16	0x4000000 /* std::bfloat16_t type.  */
>   
>   #define CPP_N_WIDTH_FLOATN_NX	0xF0000000 /* _FloatN / _FloatNx value
>   					      of N, divided by 16.  */
> --- libcpp/expr.cc.jj	2022-10-03 18:00:53.221732910 +0200
> +++ libcpp/expr.cc	2022-10-13 16:58:01.360055690 +0200
> @@ -91,10 +91,10 @@ interpret_float_suffix (cpp_reader *pfil
>     size_t orig_len = len;
>     const uchar *orig_s = s;
>     size_t flags;
> -  size_t f, d, l, w, q, i, fn, fnx, fn_bits;
> +  size_t f, d, l, w, q, i, fn, fnx, fn_bits, bf16;
>   
>     flags = 0;
> -  f = d = l = w = q = i = fn = fnx = fn_bits = 0;
> +  f = d = l = w = q = i = fn = fnx = fn_bits = bf16 = 0;
>   
>     /* The following decimal float suffixes, from TR 24732:2009, TS
>        18661-2:2015 and C2X, are supported:
> @@ -131,7 +131,8 @@ interpret_float_suffix (cpp_reader *pfil
>        w, W - machine-specific type such as __float80 (GNU extension).
>        q, Q - machine-specific type such as __float128 (GNU extension).
>        fN, FN - _FloatN (TS 18661-3:2015).
> -     fNx, FNx - _FloatNx (TS 18661-3:2015).  */
> +     fNx, FNx - _FloatNx (TS 18661-3:2015).
> +     bf16, BF16 - std::bfloat16_t (ISO C++23).  */
>   
>     /* Process decimal float suffixes, which are two letters starting
>        with d or D.  Order and case are significant.  */
> @@ -239,6 +240,19 @@ interpret_float_suffix (cpp_reader *pfil
>   		fn++;
>   	    }
>   	  break;
> +	case 'b': case 'B':
> +	  if (len > 2
> +	      /* Except for bf16 / BF16 where case is significant.  */
> +	      && s[1] == (s[0] == 'b' ? 'f' : 'F')
> +	      && s[2] == '1'
> +	      && s[3] == '6')
> +	    {
> +	      bf16++;
> +	      len -= 3;
> +	      s += 3;
> +	      break;
> +	    }
> +	  return 0;
>   	case 'd': case 'D': d++; break;
>   	case 'l': case 'L': l++; break;
>   	case 'w': case 'W': w++; break;
> @@ -257,7 +271,7 @@ interpret_float_suffix (cpp_reader *pfil
>        of N larger than can be represented in the return value.  The
>        caller is responsible for rejecting _FloatN suffixes where
>        _FloatN is not supported on the chosen target.  */
> -  if (f + d + l + w + q + fn + fnx > 1 || i > 1)
> +  if (f + d + l + w + q + fn + fnx + bf16 > 1 || i > 1)
>       return 0;
>     if (fn_bits > CPP_FLOATN_MAX)
>       return 0;
> @@ -295,6 +309,7 @@ interpret_float_suffix (cpp_reader *pfil
>   	     q ? CPP_N_MD_Q :
>   	     fn ? CPP_N_FLOATN | (fn_bits << CPP_FLOATN_SHIFT) :
>   	     fnx ? CPP_N_FLOATNX | (fn_bits << CPP_FLOATN_SHIFT) :
> +	     bf16 ? CPP_N_BFLOAT16 :
>   	     CPP_N_DEFAULT));
>   }
>   
> --- libgcc/config/i386/t-softfp.jj	2022-10-03 18:00:53.314731656 +0200
> +++ libgcc/config/i386/t-softfp	2022-10-13 16:57:09.426768521 +0200
> @@ -6,8 +6,9 @@ LIB2FUNCS_EXCLUDE += $(libgcc2-hf-functi
>   libgcc2-hf-extras = $(addsuffix .c, $(libgcc2-hf-functions))
>   LIB2ADD += $(addprefix $(srcdir)/config/i386/, $(libgcc2-hf-extras))
>   
> -softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf
> -softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf
> +softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf bfsf
> +softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf \
> +		      tfbf xfbf dfbf sfbf hfbf
>   
>   softfp_extras += eqhf2
>   
> @@ -15,11 +16,17 @@ CFLAGS-extendhfsf2.c += -msse2
>   CFLAGS-extendhfdf2.c += -msse2
>   CFLAGS-extendhftf2.c += -msse2
>   CFLAGS-extendhfxf2.c += -msse2
> +CFLAGS-extendbfsf2.c += -msse2
>   
>   CFLAGS-truncsfhf2.c += -msse2
>   CFLAGS-truncdfhf2.c += -msse2
>   CFLAGS-truncxfhf2.c += -msse2
>   CFLAGS-trunctfhf2.c += -msse2
> +CFLAGS-truncsfbf2.c += -msse2
> +CFLAGS-truncdfbf2.c += -msse2
> +CFLAGS-truncxfbf2.c += -msse2
> +CFLAGS-trunctfbf2.c += -msse2
> +CFLAGS-trunchfbf2.c += -msse2
>   
>   CFLAGS-eqhf2.c += -msse2
>   CFLAGS-_divhc3.c += -msse2
> --- libgcc/config/i386/libgcc-glibc.ver.jj	2022-10-03 18:00:53.313731670 +0200
> +++ libgcc/config/i386/libgcc-glibc.ver	2022-10-13 16:57:09.438768356 +0200
> @@ -214,3 +214,13 @@ GCC_12.0.0 {
>     __trunctfhf2
>     __truncxfhf2
>   }
> +
> +%inherit GCC_13.0.0 GCC_12.0.0
> +GCC_13.0.0 {
> +  __extendbfsf2
> +  __truncdfbf2
> +  __truncsfbf2
> +  __trunctfbf2
> +  __truncxfbf2
> +  __trunchfbf2
> +}
> --- libgcc/config/i386/sfp-machine.h.jj	2022-10-03 18:00:53.313731670 +0200
> +++ libgcc/config/i386/sfp-machine.h	2022-10-13 16:57:09.441768315 +0200
> @@ -18,6 +18,7 @@ typedef int __gcc_CMPtype __attribute__
>   #define _FP_QNANNEGATEDP 0
>   
>   #define _FP_NANSIGN_H		1
> +#define _FP_NANSIGN_B		1
>   #define _FP_NANSIGN_S		1
>   #define _FP_NANSIGN_D		1
>   #define _FP_NANSIGN_E		1
> --- libgcc/config/i386/64/sfp-machine.h.jj	2022-10-03 18:00:53.290731980 +0200
> +++ libgcc/config/i386/64/sfp-machine.h	2022-10-13 16:57:09.451768178 +0200
> @@ -14,6 +14,7 @@ typedef unsigned int UTItype __attribute
>   #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_2_udiv(Q,R,X,Y)
>   
>   #define _FP_NANFRAC_H		_FP_QNANBIT_H
> +#define _FP_NANFRAC_B		_FP_QNANBIT_B
>   #define _FP_NANFRAC_S		_FP_QNANBIT_S
>   #define _FP_NANFRAC_D		_FP_QNANBIT_D
>   #define _FP_NANFRAC_E		_FP_QNANBIT_E, 0
> --- libgcc/config/i386/32/sfp-machine.h.jj	2022-10-03 18:00:53.290731980 +0200
> +++ libgcc/config/i386/32/sfp-machine.h	2022-10-13 16:57:09.459768068 +0200
> @@ -87,6 +87,7 @@
>   #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_4_udiv(Q,R,X,Y)
>   
>   #define _FP_NANFRAC_H		_FP_QNANBIT_H
> +#define _FP_NANFRAC_B		_FP_QNANBIT_B
>   #define _FP_NANFRAC_S		_FP_QNANBIT_S
>   #define _FP_NANFRAC_D		_FP_QNANBIT_D, 0
>   /* Even if XFmode is 12byte,  we have to pad it to
> --- libgcc/soft-fp/brain.h.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/brain.h	2022-10-13 16:57:09.459768068 +0200
> @@ -0,0 +1,172 @@
> +/* Software floating-point emulation.
> +   Definitions for Brain Floating Point format (bfloat16).
> +   Copyright (C) 1997-2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <https://www.gnu.org/licenses/>.  */
> +
> +#ifndef SOFT_FP_BRAIN_H
> +#define SOFT_FP_BRAIN_H	1
> +
> +#if _FP_W_TYPE_SIZE < 32
> +# error "Here's a nickel kid.  Go buy yourself a real computer."
> +#endif
> +
> +#define _FP_FRACTBITS_B		(_FP_W_TYPE_SIZE)
> +
> +#define _FP_FRACTBITS_DW_B	(_FP_W_TYPE_SIZE)
> +
> +#define _FP_FRACBITS_B		8
> +#define _FP_FRACXBITS_B		(_FP_FRACTBITS_B - _FP_FRACBITS_B)
> +#define _FP_WFRACBITS_B		(_FP_WORKBITS + _FP_FRACBITS_B)
> +#define _FP_WFRACXBITS_B	(_FP_FRACTBITS_B - _FP_WFRACBITS_B)
> +#define _FP_EXPBITS_B		8
> +#define _FP_EXPBIAS_B		127
> +#define _FP_EXPMAX_B		255
> +
> +#define _FP_QNANBIT_B		((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2))
> +#define _FP_QNANBIT_SH_B	((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2+_FP_WORKBITS))
> +#define _FP_IMPLBIT_B		((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1))
> +#define _FP_IMPLBIT_SH_B	((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1+_FP_WORKBITS))
> +#define _FP_OVERFLOW_B		((_FP_W_TYPE) 1 << (_FP_WFRACBITS_B))
> +
> +#define _FP_WFRACBITS_DW_B	(2 * _FP_WFRACBITS_B)
> +#define _FP_WFRACXBITS_DW_B	(_FP_FRACTBITS_DW_B - _FP_WFRACBITS_DW_B)
> +#define _FP_HIGHBIT_DW_B	\
> +  ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_B - 1) % _FP_W_TYPE_SIZE)
> +
> +/* The implementation of _FP_MUL_MEAT_B and _FP_DIV_MEAT_B should be
> +   chosen by the target machine.  */
> +
> +typedef float BFtype __attribute__ ((mode (BF)));
> +
> +union _FP_UNION_B
> +{
> +  BFtype flt;
> +  struct _FP_STRUCT_LAYOUT
> +  {
> +#if __BYTE_ORDER == __BIG_ENDIAN
> +    unsigned sign : 1;
> +    unsigned exp  : _FP_EXPBITS_B;
> +    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
> +#else
> +    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
> +    unsigned exp  : _FP_EXPBITS_B;
> +    unsigned sign : 1;
> +#endif
> +  } bits;
> +};
> +
> +#define FP_DECL_B(X)		_FP_DECL (1, X)
> +#define FP_UNPACK_RAW_B(X, val)	_FP_UNPACK_RAW_1 (B, X, (val))
> +#define FP_UNPACK_RAW_BP(X, val)	_FP_UNPACK_RAW_1_P (B, X, (val))
> +#define FP_PACK_RAW_B(val, X)	_FP_PACK_RAW_1 (B, (val), X)
> +#define FP_PACK_RAW_BP(val, X)			\
> +  do						\
> +    {						\
> +      if (!FP_INHIBIT_RESULTS)			\
> +	_FP_PACK_RAW_1_P (B, (val), X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_UNPACK_B(X, val)			\
> +  do						\
> +    {						\
> +      _FP_UNPACK_RAW_1 (B, X, (val));		\
> +      _FP_UNPACK_CANONICAL (B, 1, X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_UNPACK_BP(X, val)			\
> +  do						\
> +    {						\
> +      _FP_UNPACK_RAW_1_P (B, X, (val));		\
> +      _FP_UNPACK_CANONICAL (B, 1, X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_UNPACK_SEMIRAW_B(X, val)		\
> +  do						\
> +    {						\
> +      _FP_UNPACK_RAW_1 (B, X, (val));		\
> +      _FP_UNPACK_SEMIRAW (B, 1, X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_UNPACK_SEMIRAW_BP(X, val)		\
> +  do						\
> +    {						\
> +      _FP_UNPACK_RAW_1_P (B, X, (val));		\
> +      _FP_UNPACK_SEMIRAW (B, 1, X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_PACK_B(val, X)			\
> +  do						\
> +    {						\
> +      _FP_PACK_CANONICAL (B, 1, X);		\
> +      _FP_PACK_RAW_1 (B, (val), X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_PACK_BP(val, X)			\
> +  do						\
> +    {						\
> +      _FP_PACK_CANONICAL (B, 1, X);		\
> +      if (!FP_INHIBIT_RESULTS)			\
> +	_FP_PACK_RAW_1_P (B, (val), X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_PACK_SEMIRAW_B(val, X)		\
> +  do						\
> +    {						\
> +      _FP_PACK_SEMIRAW (B, 1, X);		\
> +      _FP_PACK_RAW_1 (B, (val), X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_PACK_SEMIRAW_BP(val, X)		\
> +  do						\
> +    {						\
> +      _FP_PACK_SEMIRAW (B, 1, X);		\
> +      if (!FP_INHIBIT_RESULTS)			\
> +	_FP_PACK_RAW_1_P (B, (val), X);		\
> +    }						\
> +  while (0)
> +
> +#define FP_TO_INT_B(r, X, rsz, rsg)	_FP_TO_INT (B, 1, (r), X, (rsz), (rsg))
> +#define FP_TO_INT_ROUND_B(r, X, rsz, rsg)	\
> +  _FP_TO_INT_ROUND (B, 1, (r), X, (rsz), (rsg))
> +#define FP_FROM_INT_B(X, r, rs, rt)	_FP_FROM_INT (B, 1, X, (r), (rs), rt)
> +
> +/* BFmode arithmetic is not implemented.  */
> +
> +#define _FP_FRAC_HIGH_B(X)	_FP_FRAC_HIGH_1 (X)
> +#define _FP_FRAC_HIGH_RAW_B(X)	_FP_FRAC_HIGH_1 (X)
> +#define _FP_FRAC_HIGH_DW_B(X)	_FP_FRAC_HIGH_1 (X)
> +
> +#define FP_CMP_EQ_B(r, X, Y, ex)       _FP_CMP_EQ (B, 1, (r), X, Y, (ex))
> +
> +#endif /* !SOFT_FP_BRAIN_H */
> --- libgcc/soft-fp/truncsfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/truncsfbf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,48 @@
> +/* Software floating-point emulation.
> +   Truncate IEEE single into bfloat16.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "single.h"
> +
> +BFtype
> +__truncsfbf2 (SFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_S (A);
> +  FP_DECL_B (R);
> +  BFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  FP_UNPACK_SEMIRAW_S (A, a);
> +  FP_TRUNC (B, S, 1, 1, R, A);
> +  FP_PACK_SEMIRAW_B (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/truncdfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/truncdfbf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,52 @@
> +/* Software floating-point emulation.
> +   Truncate IEEE double into bfloat16.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "double.h"
> +
> +BFtype
> +__truncdfbf2 (DFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_D (A);
> +  FP_DECL_B (R);
> +  BFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  FP_UNPACK_SEMIRAW_D (A, a);
> +#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D
> +  FP_TRUNC (B, D, 1, 2, R, A);
> +#else
> +  FP_TRUNC (B, D, 1, 1, R, A);
> +#endif
> +  FP_PACK_SEMIRAW_B (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/truncxfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/truncxfbf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,52 @@
> +/* Software floating-point emulation.
> +   Truncate IEEE extended into bfloat16.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "extended.h"
> +
> +BFtype
> +__truncxfbf2 (XFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_E (A);
> +  FP_DECL_B (R);
> +  BFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  FP_UNPACK_SEMIRAW_E (A, a);
> +#if _FP_W_TYPE_SIZE < 64
> +  FP_TRUNC (B, E, 1, 4, R, A);
> +#else
> +  FP_TRUNC (B, E, 1, 2, R, A);
> +#endif
> +  FP_PACK_SEMIRAW_B (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/trunctfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/trunctfbf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,52 @@
> +/* Software floating-point emulation.
> +   Truncate IEEE quad into bfloat16.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <https://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "quad.h"
> +
> +BFtype
> +__trunctfbf2 (TFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_Q (A);
> +  FP_DECL_B (R);
> +  BFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  FP_UNPACK_SEMIRAW_Q (A, a);
> +#if _FP_W_TYPE_SIZE < 64
> +  FP_TRUNC (B, Q, 1, 4, R, A);
> +#else
> +  FP_TRUNC (B, Q, 1, 2, R, A);
> +#endif
> +  FP_PACK_SEMIRAW_B (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/trunchfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/trunchfbf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,58 @@
> +/* Software floating-point emulation.
> +   Truncate IEEE half into bfloat16.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "half.h"
> +#include "single.h"
> +
> +/* BFtype and HFtype are unordered, neither is a superset or subset
> +   of each other.  Convert HFtype to SFtype (lossless) and then
> +   truncate to BFtype.  */
> +
> +BFtype
> +__trunchfbf2 (HFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_H (A);
> +  FP_DECL_S (B);
> +  FP_DECL_B (R);
> +  SFtype b;
> +  BFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  FP_UNPACK_RAW_H (A, a);
> +  FP_EXTEND (S, H, 1, 1, B, A);
> +  FP_PACK_RAW_S (b, B);
> +  FP_UNPACK_SEMIRAW_S (B, b);
> +  FP_TRUNC (B, S, 1, 1, R, B);
> +  FP_PACK_SEMIRAW_B (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/truncbfhf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/truncbfhf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,75 @@
> +/* Software floating-point emulation.
> +   Truncate bfloat16 into IEEE half.
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#include "soft-fp.h"
> +#include "half.h"
> +#include "brain.h"
> +#include "single.h"
> +
> +/* BFtype and HFtype are unordered, neither is a superset or subset
> +   of each other.  Convert BFtype to SFtype (lossless) and then
> +   truncate to HFtype.  */
> +
> +HFtype
> +__truncbfhf2 (BFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_H (A);
> +  FP_DECL_S (B);
> +  FP_DECL_B (R);
> +  SFtype b;
> +  HFtype r;
> +
> +  FP_INIT_ROUNDMODE;
> +  /* Optimize BFtype to SFtype conversion to simple left shift
> +     by 16 if possible, we don't need to raise exceptions on sNaN
> +     here as the SFtype to HFtype truncation should do that too.  */
> +  if (sizeof (BFtype) == 2
> +      && sizeof (unsigned short) == 2
> +      && sizeof (SFtype) == 4
> +      && sizeof (unsigned int) == 4)
> +    {
> +      union { BFtype a; unsigned short b; } u1;
> +      union { SFtype a; unsigned int b; } u2;
> +      u1.a = a;
> +      u2.b = (u1.b << 8) << 8;
> +      b = u2.a;
> +    }
> +  else
> +    {
> +      FP_UNPACK_RAW_B (A, a);
> +      FP_EXTEND (S, B, 1, 1, B, A);
> +      FP_PACK_RAW_S (b, B);
> +    }
> +  FP_UNPACK_SEMIRAW_S (B, b);
> +  FP_TRUNC (H, S, 1, 1, R, B);
> +  FP_PACK_SEMIRAW_H (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libgcc/soft-fp/extendbfsf2.c.jj	2022-10-13 16:57:09.460768054 +0200
> +++ libgcc/soft-fp/extendbfsf2.c	2022-10-13 16:57:09.460768054 +0200
> @@ -0,0 +1,49 @@
> +/* Software floating-point emulation.
> +   Return an bfloat16 converted to IEEE single
> +   Copyright (C) 2022 Free Software Foundation, Inc.
> +   This file is part of the GNU C Library.
> +
> +   The GNU C Library is free software; you can redistribute it and/or
> +   modify it under the terms of the GNU Lesser General Public
> +   License as published by the Free Software Foundation; either
> +   version 2.1 of the License, or (at your option) any later version.
> +
> +   In addition to the permissions in the GNU Lesser General Public
> +   License, the Free Software Foundation gives you unlimited
> +   permission to link the compiled version of this file into
> +   combinations with other programs, and to distribute those
> +   combinations without any restriction coming from the use of this
> +   file.  (The Lesser General Public License restrictions do apply in
> +   other respects; for example, they cover modification of the file,
> +   and distribution when not linked into a combine executable.)
> +
> +   The GNU C Library is distributed in the hope that it will be useful,
> +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> +   Lesser General Public License for more details.
> +
> +   You should have received a copy of the GNU Lesser General Public
> +   License along with the GNU C Library; if not, see
> +   <http://www.gnu.org/licenses/>.  */
> +
> +#define FP_NO_EXACT_UNDERFLOW
> +#include "soft-fp.h"
> +#include "brain.h"
> +#include "single.h"
> +
> +SFtype
> +__extendbfsf2 (BFtype a)
> +{
> +  FP_DECL_EX;
> +  FP_DECL_B (A);
> +  FP_DECL_S (R);
> +  SFtype r;
> +
> +  FP_INIT_EXCEPTIONS;
> +  FP_UNPACK_RAW_B (A, a);
> +  FP_EXTEND (S, B, 1, 1, R, A);
> +  FP_PACK_RAW_S (r, R);
> +  FP_HANDLE_EXCEPTIONS;
> +
> +  return r;
> +}
> --- libiberty/cp-demangle.h.jj	2022-10-03 18:00:53.342731278 +0200
> +++ libiberty/cp-demangle.h	2022-10-13 16:57:09.488767670 +0200
> @@ -180,7 +180,7 @@ d_advance (struct d_info *di, int i)
>   extern const struct demangle_operator_info cplus_demangle_operators[];
>   #endif
>   
> -#define D_BUILTIN_TYPE_COUNT (35)
> +#define D_BUILTIN_TYPE_COUNT (36)
>   
>   CP_STATIC_IF_GLIBCPP_V3
>   const struct demangle_builtin_type_info
> --- libiberty/cp-demangle.c.jj	2022-10-11 14:50:14.605771753 +0200
> +++ libiberty/cp-demangle.c	2022-10-13 16:57:09.538766983 +0200
> @@ -2487,6 +2487,7 @@ cplus_demangle_builtin_types[D_BUILTIN_T
>     /* 33 */ { NL ("decltype(nullptr)"),	NL ("decltype(nullptr)"),
>   	     D_PRINT_DEFAULT },
>     /* 34 */ { NL ("_Float"),	NL ("_Float"),		D_PRINT_FLOAT },
> +  /* 35 */ { NL ("std::bfloat16_t"), NL ("std::bfloat16_t"), D_PRINT_FLOAT },
>   };
>   
>   CP_STATIC_IF_GLIBCPP_V3
> @@ -2751,11 +2752,22 @@ cplus_demangle_type (struct d_info *di)
>   
>   	case 'F':
>   	  /* DF<number>_ - _Float<number>.
> -	     DF<number>x - _Float<number>x.  */
> +	     DF<number>x - _Float<number>x
> +	     DF16b - std::bfloat16_t.  */
>   	  {
>   	    int arg = d_number (di);
>   	    char buf[12];
>   	    char suffix = 0;
> +	    if (d_peek_char (di) == 'b')
> +	      {
> +		if (arg != 16)
> +		  return NULL;
> +		d_advance (di, 1);
> +		ret = d_make_builtin_type (di,
> +					   &cplus_demangle_builtin_types[35]);
> +		di->expansion += ret->u.s_builtin.type->len;
> +		break;
> +	      }
>   	    if (d_peek_char (di) == 'x')
>   	      suffix = 'x';
>   	    if (!suffix && d_peek_char (di) != '_')
> --- libiberty/testsuite/demangle-expected.jj	2022-10-11 14:50:14.618771575 +0200
> +++ libiberty/testsuite/demangle-expected	2022-10-13 16:57:09.553766778 +0200
> @@ -1249,6 +1249,10 @@ xxx
>   _Z3xxxDF32xDF64xDF128xCDF32xVb
>   xxx(_Float32x, _Float64x, _Float128x, _Float32x _Complex, bool volatile)
>   xxx
> +--format=auto --no-params
> +_Z3xxxDF16b
> +xxx(std::bfloat16_t)
> +xxx
>   # https://sourceware.org/bugzilla/show_bug.cgi?id=16817
>   --format=auto --no-params
>   _QueueNotification_QueueController__$4PPPPPPPM_A_INotice___Z
> 
> 
> 	Jakub
>
  
Uros Bizjak Oct. 13, 2022, 9:11 p.m. UTC | #2
On Thu, Oct 13, 2022 at 9:38 PM Jason Merrill <jason@redhat.com> wrote:
>
> On 10/13/22 12:50, Jakub Jelinek wrote:
> > Hi!
> >
> > On Wed, Oct 05, 2022 at 04:02:25PM -0400, Jason Merrill wrote:
> >>> As I wrote earlier, I think we need at least one, __builtin_nans variant
> >>> which would be used in libstdc++
> >>> std::numeric_limits<std::bfloat16_t>::signaling_NaN() implementation.
> >>> I think
> >>> std::numeric_limits<std::bfloat16_t>::infinity() can be implemented as
> >>> return (__bf16) __builtin_huge_valf ();
> >>> and similarly
> >>> std::numeric_limits<std::bfloat16_t>::quiet_NaN() as
> >>> return (__bf16) __builtin_nanf ("");
> >>> but
> >>> return (__bf16) __builtin_nansf ("");
> >>> would loose the signaling NaN on the conversion and raise exception,
> >>> and as the method is constexpr,
> >>> union { unsigned short a; __bf16 b; } u = { 0x7f81 };
> >>> return u.b;
> >>> wouldn't work.  I can certainly restrict the builtins to the single
> >>> one, but wonder whether the suffix for that builtin shouldn't be chosen
> >>> such that eventually we could add more builtins if we need to
> >>> and don't run into the log with bf16 suffix vs. logb with f16 suffix
> >>> ambiguity.
> >>> As you said, most of the libstdc++ overloads for std::bfloat16_t then
> >>> can use float builtins or library calls under the hood, but std::nextafter
> >>> is another case where I think we'll need to have something bfloat16_t
> >>> specific, because float ulp isn't bfloat16_t ulp, the latter is much larger.
> >>
> >> Makes sense.
> >
> > So, this updated version of the patch adds just a single __builtin_nansf16b
> > builtin (or do you want __builtin_nansbf16?).
>
> 16b sounds fine.
>
> >>> Based on what Joseph wrote, I'll add bf16/BF16 suffix support for C too
> >>> in the next iteration (always with pedwarn in that case).
> >
> > And implements bf16/BF16 suffixes for C too.
> >
> >>> I'm afraid too many places rely on all modes of a certain class to be
> >>> visible when walking from "narrowest" to "widest" mode, say
> >>> FOR_EACH_MODE_IN_CLASS/FOR_EACH_MODE/FOR_EACH_MODE_UNTIL/FOR_EACH_WIDER_MODE
> >>> etc. wouldn't work at all if GET_MODE_WIDER_MODE (BFmode) == SFmode
> >>> && GET_MODE_WIDER_MODE (HFmode) == SFmode.
> >>
> >> Yes, it seems they need to change now that their assumptions have been
> >> violated.  I suppose FOR_EACH_MODE_IN_CLASS would need to change to not use
> >> get_wider, and users of FOR_EACH_MODE/FOR_EACH_MODE_UNTIL need to decide
> >> whether they want an iteration that uses get_wider (likely with a new name)
> >> or not.
> >
> > And now that the GET_MODE_WIDER_MODE vs. GET_MODE_NEXT_MODE patch is in,
> > is updated on top of those changes.
> >
> > So far lightly tested on x86_64-linux, ok for trunk if it passes full
> > bootstrap/regtest on both x86_64-linux and i686-linux?
>
> LGTM, but a i386 maintainer should review it as well.

OK with two changes  to cbranch and cstore expanders, as explained inline.

Thanks,
Uros.

> > 2022-10-13  Jakub Jelinek  <jakub@redhat.com>
> >
> > gcc/
> >       * tree-core.h (enum tree_index): Add TI_BFLOAT16_TYPE.
> >       * tree.h (bfloat16_type_node): Define.
> >       * tree.cc (excess_precision_type): Promote bfloat16_type_mode
> >       like float16_type_mode.
> >       (build_common_tree_nodes): Initialize bfloat16_type_node if
> >       BFmode is supported.
> >       * expmed.h (maybe_expand_shift): Declare.
> >       * expmed.cc (maybe_expand_shift): No longer static.
> >       * expr.cc (convert_mode_scalar): Don't ICE on BF -> HF or HF -> BF
> >       conversions.  If there is no optab, handle BF -> {DF,XF,TF,HF}
> >       conversions as separate BF -> SF -> {DF,XF,TF,HF} conversions, add
> >       -ffast-math generic implementation for BF -> SF and SF -> BF
> >       conversions.
> >       * builtin-types.def (BT_BFLOAT16, BT_FN_BFLOAT16_CONST_STRING): New.
> >       * builtins.def (BUILT_IN_NANSF16B): New builtin.
> >       * fold-const-call.cc (fold_const_call): Handle CFN_BUILT_IN_NANSF16B.
> >       * config/i386/i386.cc (classify_argument): Handle E_BCmode.
> >       (ix86_libgcc_floating_mode_supported_p): Also return true for BFmode
> >       for -msse2.
> >       (ix86_mangle_type): Mangle BFmode as DF16b.
> >       (ix86_invalid_conversion, ix86_invalid_unary_op,
> >       ix86_invalid_binary_op): Remove.
> >       (TARGET_INVALID_CONVERSION, TARGET_INVALID_UNARY_OP,
> >       TARGET_INVALID_BINARY_OP): Don't redefine.
> >       * config/i386/i386-builtins.cc (ix86_bf16_type_node): Remove.
> >       (ix86_register_bf16_builtin_type): Use bfloat16_type_node rather than
> >       ix86_bf16_type_node, only create it if still NULL.
> >       * config/i386/i386-builtin-types.def (BFLOAT16): Likewise.
> >       * config/i386/i386.md (cbranchbf4, cstorebf4): New expanders.
> > gcc/c-family/
> >       * c-cppbuiltin.cc (c_cpp_builtins): If bfloat16_type_node,
> >       predefine __BFLT16_*__ macros and for C++23 also
> >       __STDCPP_BFLOAT16_T__.  Predefine bfloat16_type_node related
> >       macros for -fbuilding-libgcc.
> >       * c-lex.cc (interpret_float): Handle CPP_N_BFLOAT16.
> > gcc/c/
> >       * c-typeck.cc (convert_arguments): Don't promote __bf16 to
> >       double.
> > gcc/cp/
> >       * cp-tree.h (extended_float_type_p): Return true for
> >       bfloat16_type_node.
> >       * typeck.cc (cp_compare_floating_point_conversion_ranks): Set
> >       extended{1,2} if mv{1,2} is bfloat16_type_node.  Adjust comment.
> > gcc/testsuite/
> >       * lib/target-supports.exp (check_effective_target_bfloat16,
> >       check_effective_target_bfloat16_runtime, add_options_for_bfloat16):
> >       New.
> >       * gcc.dg/torture/bfloat16-basic.c: New test.
> >       * gcc.dg/torture/bfloat16-builtin.c: New test.
> >       * gcc.dg/torture/bfloat16-builtin-issignaling-1.c: New test.
> >       * gcc.dg/torture/bfloat16-complex.c: New test.
> >       * gcc.dg/torture/builtin-issignaling-1.c: Allow to be includable
> >       from bfloat16-builtin-issignaling-1.c.
> >       * gcc.dg/torture/floatn-basic.h: Allow to be includable from
> >       bfloat16-basic.c.
> >       * gcc.target/i386/vect-bfloat16-typecheck_2.c: Adjust expected
> >       diagnostics.
> >       * gcc.target/i386/sse2-bfloat16-scalar-typecheck.c: Likewise.
> >       * gcc.target/i386/vect-bfloat16-typecheck_1.c: Likewise.
> >       * g++.target/i386/bfloat_cpp_typecheck.C: Likewise.
> > libcpp/
> >       * include/cpplib.h (CPP_N_BFLOAT16): Define.
> >       * expr.cc (interpret_float_suffix): Handle bf16 and BF16 suffixes for
> >       C++.
> > libgcc/
> >       * config/i386/t-softfp (softfp_extensions): Add bfsf.
> >       (softfp_truncations): Add tfbf xfbf dfbf sfbf hfbf.
> >       (CFLAGS-extendbfsf2.c, CFLAGS-truncsfbf2.c, CFLAGS-truncdfbf2.c,
> >       CFLAGS-truncxfbf2.c, CFLAGS-trunctfbf2.c, CFLAGS-trunchfbf2.c): Add
> >       -msse2.
> >       * config/i386/libgcc-glibc.ver (GCC_13.0.0): Export
> >       __extendbfsf2 and __trunc{s,d,x,t,h}fbf2.
> >       * config/i386/sfp-machine.h (_FP_NANSIGN_B): Define.
> >       * config/i386/64/sfp-machine.h (_FP_NANFRAC_B): Define.
> >       * config/i386/32/sfp-machine.h (_FP_NANFRAC_B): Define.
> >       * soft-fp/brain.h: New file.
> >       * soft-fp/truncsfbf2.c: New file.
> >       * soft-fp/truncdfbf2.c: New file.
> >       * soft-fp/truncxfbf2.c: New file.
> >       * soft-fp/trunctfbf2.c: New file.
> >       * soft-fp/trunchfbf2.c: New file.
> >       * soft-fp/truncbfhf2.c: New file.
> >       * soft-fp/extendbfsf2.c: New file.
> > libiberty/
> >       * cp-demangle.h (D_BUILTIN_TYPE_COUNT): Increment.
> >       * cp-demangle.c (cplus_demangle_builtin_types): Add std::bfloat16_t
> >       entry.
> >       (cplus_demangle_type): Demangle DF16b.
> >       * testsuite/demangle-expected (_Z3xxxDF16b): New test.
> >
> > --- gcc/tree-core.h.jj        2022-10-10 09:31:57.683981308 +0200
> > +++ gcc/tree-core.h   2022-10-13 16:57:08.953775013 +0200
> > @@ -665,6 +665,9 @@ enum tree_index {
> >     TI_DOUBLE_TYPE,
> >     TI_LONG_DOUBLE_TYPE,
> >
> > +  /* __bf16 type if supported (used in C++ as std::bfloat16_t).  */
> > +  TI_BFLOAT16_TYPE,
> > +
> >     /* The _FloatN and _FloatNx types must be consecutive, and in the
> >        same sequence as the corresponding complex types, which must also
> >        be consecutive; _FloatN must come before _FloatNx; the order must
> > --- gcc/tree.h.jj     2022-10-10 09:31:57.766980149 +0200
> > +++ gcc/tree.h        2022-10-13 17:22:14.728207071 +0200
> > @@ -4291,6 +4291,7 @@ tree_strip_any_location_wrapper (tree ex
> >   #define float_type_node                     global_trees[TI_FLOAT_TYPE]
> >   #define double_type_node            global_trees[TI_DOUBLE_TYPE]
> >   #define long_double_type_node               global_trees[TI_LONG_DOUBLE_TYPE]
> > +#define bfloat16_type_node           global_trees[TI_BFLOAT16_TYPE]
> >
> >   /* Nodes for particular _FloatN and _FloatNx types in sequence.  */
> >   #define FLOATN_TYPE_NODE(IDX)               global_trees[TI_FLOATN_TYPE_FIRST + (IDX)]
> > --- gcc/tree.cc.jj    2022-10-10 09:31:57.743980470 +0200
> > +++ gcc/tree.cc       2022-10-13 16:57:08.956774972 +0200
> > @@ -7711,7 +7711,7 @@ excess_precision_type (tree type)
> >       = (flag_excess_precision == EXCESS_PRECISION_FAST
> >          ? EXCESS_PRECISION_TYPE_FAST
> >          : (flag_excess_precision == EXCESS_PRECISION_FLOAT16
> > -       ? EXCESS_PRECISION_TYPE_FLOAT16 :EXCESS_PRECISION_TYPE_STANDARD));
> > +       ? EXCESS_PRECISION_TYPE_FLOAT16 : EXCESS_PRECISION_TYPE_STANDARD));
> >
> >     enum flt_eval_method target_flt_eval_method
> >       = targetm.c.excess_precision (requested_type);
> > @@ -7736,6 +7736,9 @@ excess_precision_type (tree type)
> >     machine_mode float16_type_mode = (float16_type_node
> >                                   ? TYPE_MODE (float16_type_node)
> >                                   : VOIDmode);
> > +  machine_mode bfloat16_type_mode = (bfloat16_type_node
> > +                                  ? TYPE_MODE (bfloat16_type_node)
> > +                                  : VOIDmode);
> >     machine_mode float_type_mode = TYPE_MODE (float_type_node);
> >     machine_mode double_type_mode = TYPE_MODE (double_type_node);
> >
> > @@ -7747,16 +7750,19 @@ excess_precision_type (tree type)
> >       switch (target_flt_eval_method)
> >         {
> >         case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> > -         if (type_mode == float16_type_mode)
> > +         if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode)
> >             return float_type_node;
> >           break;
> >         case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
> >           if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode
> >               || type_mode == float_type_mode)
> >             return double_type_node;
> >           break;
> >         case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
> >           if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode
> >               || type_mode == float_type_mode
> >               || type_mode == double_type_mode)
> >             return long_double_type_node;
> > @@ -7774,16 +7780,19 @@ excess_precision_type (tree type)
> >       switch (target_flt_eval_method)
> >         {
> >         case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> > -         if (type_mode == float16_type_mode)
> > +         if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode)
> >             return complex_float_type_node;
> >           break;
> >         case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
> >           if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode
> >               || type_mode == float_type_mode)
> >             return complex_double_type_node;
> >           break;
> >         case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
> >           if (type_mode == float16_type_mode
> > +             || type_mode == bfloat16_type_mode
> >               || type_mode == float_type_mode
> >               || type_mode == double_type_mode)
> >             return complex_long_double_type_node;
> > @@ -9462,6 +9471,17 @@ build_common_tree_nodes (bool signed_cha
> >         SET_TYPE_MODE (FLOATN_NX_TYPE_NODE (i), mode);
> >       }
> >     float128t_type_node = float128_type_node;
> > +#ifdef HAVE_BFmode
> > +  if (REAL_MODE_FORMAT (BFmode) == &arm_bfloat_half_format
> > +      && targetm.scalar_mode_supported_p (BFmode)
> > +      && targetm.libgcc_floating_mode_supported_p (BFmode))
> > +    {
> > +      bfloat16_type_node = make_node (REAL_TYPE);
> > +      TYPE_PRECISION (bfloat16_type_node) = GET_MODE_PRECISION (BFmode);
> > +      layout_type (bfloat16_type_node);
> > +      SET_TYPE_MODE (bfloat16_type_node, BFmode);
> > +    }
> > +#endif
> >
> >     float_ptr_type_node = build_pointer_type (float_type_node);
> >     double_ptr_type_node = build_pointer_type (double_type_node);
> > --- gcc/expmed.h.jj   2022-10-03 18:00:53.046735271 +0200
> > +++ gcc/expmed.h      2022-10-13 16:57:08.957774958 +0200
> > @@ -707,6 +707,8 @@ extern rtx expand_variable_shift (enum t
> >                                 rtx, tree, rtx, int);
> >   extern rtx expand_shift (enum tree_code, machine_mode, rtx, poly_int64, rtx,
> >                        int);
> > +extern rtx maybe_expand_shift (enum tree_code, machine_mode, rtx, int, rtx,
> > +                            int);
> >   #ifdef GCC_OPTABS_H
> >   extern rtx expand_divmod (int, enum tree_code, machine_mode, rtx, rtx,
> >                         rtx, int, enum optab_methods = OPTAB_LIB_WIDEN);
> > --- gcc/expmed.cc.jj  2022-10-13 16:22:17.755496384 +0200
> > +++ gcc/expmed.cc     2022-10-13 16:57:08.957774958 +0200
> > @@ -2705,7 +2705,7 @@ expand_shift (enum tree_code code, machi
> >
> >   /* Likewise, but return 0 if that cannot be done.  */
> >
> > -static rtx
> > +rtx
> >   maybe_expand_shift (enum tree_code code, machine_mode mode, rtx shifted,
> >                   int amount, rtx target, int unsignedp)
> >   {
> > --- gcc/expr.cc.jj    2022-10-06 17:43:47.941502119 +0200
> > +++ gcc/expr.cc       2022-10-13 16:57:09.022774066 +0200
> > @@ -344,7 +344,11 @@ convert_mode_scalar (rtx to, rtx from, i
> >         gcc_assert ((GET_MODE_PRECISION (from_mode)
> >                  != GET_MODE_PRECISION (to_mode))
> >                 || (DECIMAL_FLOAT_MODE_P (from_mode)
> > -                   != DECIMAL_FLOAT_MODE_P (to_mode)));
> > +                   != DECIMAL_FLOAT_MODE_P (to_mode))
> > +               || (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
> > +                   && REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
> > +               || (REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
> > +                   && REAL_MODE_FORMAT (from_mode) == &ieee_half_format));
> >
> >         if (GET_MODE_PRECISION (from_mode) == GET_MODE_PRECISION (to_mode))
> >       /* Conversion between decimal float and binary float, same size.  */
> > @@ -364,6 +368,150 @@ convert_mode_scalar (rtx to, rtx from, i
> >         return;
> >       }
> >
> > +#ifdef HAVE_SFmode
> > +      if (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
> > +       && REAL_MODE_FORMAT (SFmode) == &ieee_single_format)
> > +     {
> > +       if (GET_MODE_PRECISION (to_mode) > GET_MODE_PRECISION (SFmode))
> > +         {
> > +           /* To cut down on libgcc size, implement
> > +              BFmode -> {DF,XF,TF}mode conversions by
> > +              BFmode -> SFmode -> {DF,XF,TF}mode conversions.  */
> > +           rtx temp = gen_reg_rtx (SFmode);
> > +           convert_mode_scalar (temp, from, unsignedp);
> > +           convert_mode_scalar (to, temp, unsignedp);
> > +           return;
> > +         }
> > +       if (REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
> > +         {
> > +           /* Similarly, implement BFmode -> HFmode as
> > +              BFmode -> SFmode -> HFmode conversion where SFmode
> > +              has superset of BFmode values.  We don't need
> > +              to handle sNaNs by raising exception and turning
> > +              into into qNaN though, as that can be done in the
> > +              SFmode -> HFmode conversion too.  */
> > +           rtx temp = gen_reg_rtx (SFmode);
> > +           int save_flag_finite_math_only = flag_finite_math_only;
> > +           flag_finite_math_only = true;
> > +           convert_mode_scalar (temp, from, unsignedp);
> > +           flag_finite_math_only = save_flag_finite_math_only;
> > +           convert_mode_scalar (to, temp, unsignedp);
> > +           return;
> > +         }
> > +       if (to_mode == SFmode
> > +           && !HONOR_NANS (from_mode)
> > +           && !HONOR_NANS (to_mode)
> > +           && optimize_insn_for_speed_p ())
> > +         {
> > +           /* If we don't expect sNaNs, for BFmode -> SFmode we can just
> > +              shift the bits up.  */
> > +           machine_mode fromi_mode, toi_mode;
> > +           if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
> > +                                  0).exists (&fromi_mode)
> > +               && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
> > +                                     0).exists (&toi_mode))
> > +             {
> > +               start_sequence ();
> > +               rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
> > +               rtx tof = NULL_RTX;
> > +               if (fromi)
> > +                 {
> > +                   rtx toi = gen_reg_rtx (toi_mode);
> > +                   convert_mode_scalar (toi, fromi, 1);
> > +                   toi
> > +                     = maybe_expand_shift (LSHIFT_EXPR, toi_mode, toi,
> > +                                           GET_MODE_PRECISION (to_mode)
> > +                                           - GET_MODE_PRECISION (from_mode),
> > +                                           NULL_RTX, 1);
> > +                   if (toi)
> > +                     {
> > +                       tof = lowpart_subreg (to_mode, toi, toi_mode);
> > +                       if (tof)
> > +                         emit_move_insn (to, tof);
> > +                     }
> > +                 }
> > +               insns = get_insns ();
> > +               end_sequence ();
> > +               if (tof)
> > +                 {
> > +                   emit_insn (insns);
> > +                   return;
> > +                 }
> > +             }
> > +         }
> > +     }
> > +      if (REAL_MODE_FORMAT (from_mode) == &ieee_single_format
> > +       && REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
> > +       && !HONOR_NANS (from_mode)
> > +       && !HONOR_NANS (to_mode)
> > +       && !flag_rounding_math
> > +       && optimize_insn_for_speed_p ())
> > +     {
> > +       /* If we don't expect qNaNs nor sNaNs and can assume rounding
> > +          to nearest, we can expand the conversion inline as
> > +          (fromi + 0x7fff + ((fromi >> 16) & 1)) >> 16.  */
> > +       machine_mode fromi_mode, toi_mode;
> > +       if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
> > +                              0).exists (&fromi_mode)
> > +           && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
> > +                                 0).exists (&toi_mode))
> > +         {
> > +           start_sequence ();
> > +           rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
> > +           rtx tof = NULL_RTX;
> > +           do
> > +             {
> > +               if (!fromi)
> > +                 break;
> > +               int shift = (GET_MODE_PRECISION (from_mode)
> > +                            - GET_MODE_PRECISION (to_mode));
> > +               rtx temp1
> > +                 = maybe_expand_shift (RSHIFT_EXPR, fromi_mode, fromi,
> > +                                       shift, NULL_RTX, 1);
> > +               if (!temp1)
> > +                 break;
> > +               rtx temp2
> > +                 = expand_binop (fromi_mode, and_optab, temp1, const1_rtx,
> > +                                 NULL_RTX, 1, OPTAB_DIRECT);
> > +               if (!temp2)
> > +                 break;
> > +               rtx temp3
> > +                 = expand_binop (fromi_mode, add_optab, fromi,
> > +                                 gen_int_mode ((HOST_WIDE_INT_1U
> > +                                                << (shift - 1)) - 1,
> > +                                               fromi_mode), NULL_RTX,
> > +                                 1, OPTAB_DIRECT);
> > +               if (!temp3)
> > +                 break;
> > +               rtx temp4
> > +                 = expand_binop (fromi_mode, add_optab, temp3, temp2,
> > +                                 NULL_RTX, 1, OPTAB_DIRECT);
> > +               if (!temp4)
> > +                 break;
> > +               rtx temp5 = maybe_expand_shift (RSHIFT_EXPR, fromi_mode,
> > +                                               temp4, shift, NULL_RTX, 1);
> > +               if (!temp5)
> > +                 break;
> > +               rtx temp6 = lowpart_subreg (toi_mode, temp5, fromi_mode);
> > +               if (!temp6)
> > +                 break;
> > +               tof = lowpart_subreg (to_mode, force_reg (toi_mode, temp6),
> > +                                     toi_mode);
> > +               if (tof)
> > +                 emit_move_insn (to, tof);
> > +             }
> > +           while (0);
> > +           insns = get_insns ();
> > +           end_sequence ();
> > +           if (tof)
> > +             {
> > +               emit_insn (insns);
> > +               return;
> > +             }
> > +         }
> > +     }
> > +#endif
> > +
> >         /* Otherwise use a libcall.  */
> >         libcall = convert_optab_libfunc (tab, to_mode, from_mode);
> >
> > --- gcc/builtin-types.def.jj  2022-10-03 18:00:52.658740505 +0200
> > +++ gcc/builtin-types.def     2022-10-13 17:09:52.930317869 +0200
> > @@ -82,6 +82,9 @@ DEF_PRIMITIVE_TYPE (BT_UNWINDWORD, (*lan
> >   DEF_PRIMITIVE_TYPE (BT_FLOAT, float_type_node)
> >   DEF_PRIMITIVE_TYPE (BT_DOUBLE, double_type_node)
> >   DEF_PRIMITIVE_TYPE (BT_LONGDOUBLE, long_double_type_node)
> > +DEF_PRIMITIVE_TYPE (BT_BFLOAT16, (bfloat16_type_node
> > +                               ? bfloat16_type_node
> > +                               : error_mark_node))
> >   DEF_PRIMITIVE_TYPE (BT_FLOAT16, (float16_type_node
> >                                ? float16_type_node
> >                                : error_mark_node))
> > @@ -264,6 +267,7 @@ DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT_CONST_S
> >   DEF_FUNCTION_TYPE_1 (BT_FN_DOUBLE_CONST_STRING, BT_DOUBLE, BT_CONST_STRING)
> >   DEF_FUNCTION_TYPE_1 (BT_FN_LONGDOUBLE_CONST_STRING,
> >                    BT_LONGDOUBLE, BT_CONST_STRING)
> > +DEF_FUNCTION_TYPE_1 (BT_FN_BFLOAT16_CONST_STRING, BT_BFLOAT16, BT_CONST_STRING)
> >   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT16_CONST_STRING, BT_FLOAT16, BT_CONST_STRING)
> >   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT32_CONST_STRING, BT_FLOAT32, BT_CONST_STRING)
> >   DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT64_CONST_STRING, BT_FLOAT64, BT_CONST_STRING)
> > --- gcc/builtins.def.jj       2022-10-03 18:00:52.679740221 +0200
> > +++ gcc/builtins.def  2022-10-13 17:09:05.633962625 +0200
> > @@ -514,6 +514,7 @@ DEF_GCC_BUILTIN        (BUILT_IN_NANSF,
> >   DEF_GCC_BUILTIN        (BUILT_IN_NANSL, "nansl", BT_FN_LONGDOUBLE_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> >   DEF_GCC_FLOATN_NX_BUILTINS (BUILT_IN_NANS, "nans", NAN_TYPE, ATTR_CONST_NOTHROW_NONNULL)
> >   #undef NAN_TYPE
> > +DEF_GCC_BUILTIN        (BUILT_IN_NANSF16B, "nansf16b", BT_FN_BFLOAT16_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> >   DEF_GCC_BUILTIN        (BUILT_IN_NANSD32, "nansd32", BT_FN_DFLOAT32_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> >   DEF_GCC_BUILTIN        (BUILT_IN_NANSD64, "nansd64", BT_FN_DFLOAT64_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> >   DEF_GCC_BUILTIN        (BUILT_IN_NANSD128, "nansd128", BT_FN_DFLOAT128_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
> > --- gcc/fold-const-call.cc.jj 2022-09-03 09:35:41.107989686 +0200
> > +++ gcc/fold-const-call.cc    2022-10-13 17:20:59.579229947 +0200
> > @@ -1301,6 +1301,7 @@ fold_const_call (combined_fn fn, tree ty
> >
> >       CASE_CFN_NANS:
> >       CASE_FLT_FN_FLOATN_NX (CFN_BUILT_IN_NANS):
> > +    case CFN_BUILT_IN_NANSF16B:
> >       case CFN_BUILT_IN_NANSD32:
> >       case CFN_BUILT_IN_NANSD64:
> >       case CFN_BUILT_IN_NANSD128:
> > --- gcc/config/i386/i386.cc.jj        2022-10-03 18:00:52.942736674 +0200
> > +++ gcc/config/i386/i386.cc   2022-10-13 16:57:09.092773105 +0200
> > @@ -2423,6 +2423,7 @@ classify_argument (machine_mode mode, co
> >         classes[1] = X86_64_SSEUP_CLASS;
> >         return 2;
> >       case E_HCmode:
> > +    case E_BCmode:
> >         classes[0] = X86_64_SSE_CLASS;
> >         if (!(bit_offset % 64))
> >       return 1;
> > @@ -22428,7 +22429,7 @@ ix86_libgcc_floating_mode_supported_p (s
> >        be defined by the C front-end for AVX512FP16 intrinsics.  We will
> >        issue an error in ix86_expand_move for HFmode if AVX512FP16 isn't
> >        enabled.  */
> > -  return ((mode == HFmode && TARGET_SSE2)
> > +  return (((mode == HFmode || mode == BFmode) && TARGET_SSE2)
> >         ? true
> >         : default_libgcc_floating_mode_supported_p (mode));
> >   }
> > @@ -22731,7 +22732,7 @@ ix86_mangle_type (const_tree type)
> >     switch (TYPE_MODE (type))
> >       {
> >       case E_BFmode:
> > -      return "u6__bf16";
> > +      return "DF16b";
> >       case E_HFmode:
> >         /* _Float16 is "DF16_".
> >        Align with clang's decision in https://reviews.llvm.org/D33719. */
> > @@ -22747,55 +22748,6 @@ ix86_mangle_type (const_tree type)
> >       }
> >   }
> >
> > -/* Return the diagnostic message string if conversion from FROMTYPE to
> > -   TOTYPE is not allowed, NULL otherwise.  */
> > -
> > -static const char *
> > -ix86_invalid_conversion (const_tree fromtype, const_tree totype)
> > -{
> > -  if (element_mode (fromtype) != element_mode (totype))
> > -    {
> > -      /* Do no allow conversions to/from BFmode scalar types.  */
> > -      if (TYPE_MODE (fromtype) == BFmode)
> > -     return N_("invalid conversion from type %<__bf16%>");
> > -      if (TYPE_MODE (totype) == BFmode)
> > -     return N_("invalid conversion to type %<__bf16%>");
> > -    }
> > -
> > -  /* Conversion allowed.  */
> > -  return NULL;
> > -}
> > -
> > -/* Return the diagnostic message string if the unary operation OP is
> > -   not permitted on TYPE, NULL otherwise.  */
> > -
> > -static const char *
> > -ix86_invalid_unary_op (int op, const_tree type)
> > -{
> > -  /* Reject all single-operand operations on BFmode except for &.  */
> > -  if (element_mode (type) == BFmode && op != ADDR_EXPR)
> > -    return N_("operation not permitted on type %<__bf16%>");
> > -
> > -  /* Operation allowed.  */
> > -  return NULL;
> > -}
> > -
> > -/* Return the diagnostic message string if the binary operation OP is
> > -   not permitted on TYPE1 and TYPE2, NULL otherwise.  */
> > -
> > -static const char *
> > -ix86_invalid_binary_op (int op ATTRIBUTE_UNUSED, const_tree type1,
> > -                        const_tree type2)
> > -{
> > -  /* Reject all 2-operand operations on BFmode.  */
> > -  if (element_mode (type1) == BFmode
> > -      || element_mode (type2) == BFmode)
> > -    return N_("operation not permitted on type %<__bf16%>");
> > -
> > -  /* Operation allowed.  */
> > -  return NULL;
> > -}
> > -
> >   static GTY(()) tree ix86_tls_stack_chk_guard_decl;
> >
> >   static tree
> > @@ -24853,15 +24805,6 @@ ix86_libgcc_floating_mode_supported_p
> >   #undef TARGET_MANGLE_TYPE
> >   #define TARGET_MANGLE_TYPE ix86_mangle_type
> >
> > -#undef TARGET_INVALID_CONVERSION
> > -#define TARGET_INVALID_CONVERSION ix86_invalid_conversion
> > -
> > -#undef TARGET_INVALID_UNARY_OP
> > -#define TARGET_INVALID_UNARY_OP ix86_invalid_unary_op
> > -
> > -#undef TARGET_INVALID_BINARY_OP
> > -#define TARGET_INVALID_BINARY_OP ix86_invalid_binary_op
> > -
> >   #undef TARGET_STACK_PROTECT_GUARD
> >   #define TARGET_STACK_PROTECT_GUARD ix86_stack_protect_guard
> >
> > --- gcc/config/i386/i386-builtins.cc.jj       2022-10-03 18:00:52.918736997 +0200
> > +++ gcc/config/i386/i386-builtins.cc  2022-10-13 16:57:09.119772735 +0200
> > @@ -126,7 +126,6 @@ BDESC_VERIFYS (IX86_BUILTIN_MAX,
> >   static GTY(()) tree ix86_builtin_type_tab[(int) IX86_BT_LAST_CPTR + 1];
> >
> >   tree ix86_float16_type_node = NULL_TREE;
> > -tree ix86_bf16_type_node = NULL_TREE;
> >   tree ix86_bf16_ptr_type_node = NULL_TREE;
> >
> >   /* Retrieve an element from the above table, building some of
> > @@ -1372,16 +1371,18 @@ ix86_register_float16_builtin_type (void
> >   static void
> >   ix86_register_bf16_builtin_type (void)
> >   {
> > -  ix86_bf16_type_node = make_node (REAL_TYPE);
> > -  TYPE_PRECISION (ix86_bf16_type_node) = 16;
> > -  SET_TYPE_MODE (ix86_bf16_type_node, BFmode);
> > -  layout_type (ix86_bf16_type_node);
> > +  if (bfloat16_type_node == NULL_TREE)
> > +    {
> > +      bfloat16_type_node = make_node (REAL_TYPE);
> > +      TYPE_PRECISION (bfloat16_type_node) = 16;
> > +      SET_TYPE_MODE (bfloat16_type_node, BFmode);
> > +      layout_type (bfloat16_type_node);
> > +    }
> >
> >     if (!maybe_get_identifier ("__bf16") && TARGET_SSE2)
> >       {
> > -      lang_hooks.types.register_builtin_type (ix86_bf16_type_node,
> > -                                         "__bf16");
> > -      ix86_bf16_ptr_type_node = build_pointer_type (ix86_bf16_type_node);
> > +      lang_hooks.types.register_builtin_type (bfloat16_type_node, "__bf16");
> > +      ix86_bf16_ptr_type_node = build_pointer_type (bfloat16_type_node);
> >       }
> >   }
> >
> > --- gcc/config/i386/i386-builtin-types.def.jj 2022-10-03 18:00:52.894737321 +0200
> > +++ gcc/config/i386/i386-builtin-types.def    2022-10-13 16:57:09.139772460 +0200
> > @@ -69,7 +69,7 @@ DEF_PRIMITIVE_TYPE (UINT16, short_unsign
> >   DEF_PRIMITIVE_TYPE (INT64, long_long_integer_type_node)
> >   DEF_PRIMITIVE_TYPE (UINT64, long_long_unsigned_type_node)
> >   DEF_PRIMITIVE_TYPE (FLOAT16, ix86_float16_type_node)
> > -DEF_PRIMITIVE_TYPE (BFLOAT16, ix86_bf16_type_node)
> > +DEF_PRIMITIVE_TYPE (BFLOAT16, bfloat16_type_node)
> >   DEF_PRIMITIVE_TYPE (FLOAT, float_type_node)
> >   DEF_PRIMITIVE_TYPE (DOUBLE, double_type_node)
> >   DEF_PRIMITIVE_TYPE (FLOAT80, float80_type_node)
> > --- gcc/config/i386/i386.md.jj        2022-10-11 15:57:05.005762022 +0200
> > +++ gcc/config/i386/i386.md   2022-10-13 16:57:09.187771801 +0200
> > @@ -1644,6 +1644,48 @@ (define_expand "cbranch<mode>4"
> >     DONE;
> >   })
> >
> > +(define_expand "cbranchbf4"
> > +  [(set (reg:CC FLAGS_REG)
> > +     (compare:CC (match_operand:BF 1 "cmp_fp_expander_operand")
> > +                 (match_operand:BF 2 "cmp_fp_expander_operand")))
> > +   (set (pc) (if_then_else
> > +           (match_operator 0 "comparison_operator"
> > +            [(reg:CC FLAGS_REG)
> > +             (const_int 0)])
> > +           (label_ref (match_operand 3))
> > +           (pc)))]
> > +  ""
> > +{
> > +  rtx op1 = gen_lowpart (HImode, operands[1]);
> > +  if (CONST_INT_P (op1))
> > +    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> > +                                       operands[1], BFmode);
> > +  else
> > +    {
> > +      rtx t1 = gen_reg_rtx (SImode);
> > +      emit_insn (gen_zero_extendhisi2 (t1, op1));
> > +      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
> > +      op1 = gen_lowpart (SFmode, t1);
> > +    }
> > +  rtx op2 = gen_lowpart (HImode, operands[2]);
> > +  if (CONST_INT_P (op2))
> > +    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> > +                                       operands[2], BFmode);
> > +  else
> > +    {
> > +      rtx t2 = gen_reg_rtx (SImode);
> > +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> > +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> > +      op2 = gen_lowpart (SFmode, t2);
> > +    }
> > +  do_compare_rtx_and_jump (op1, op2, GET_CODE (operands[0]), 0,
> > +                        SFmode, NULL_RTX, NULL,
> > +                        as_a <rtx_code_label *> (operands[3]),
> > +                        /* Unfortunately this isn't propagated.  */
> > +                        profile_probability::even ());

You could use ix86_expand_branch instead of do_compare_rtx_and_jump
here. This would expand in SFmode, so insn condition from cbranchsf4
should be copied here:

  "TARGET_80387 || (SSE_FLOAT_MODE_P (SFmode) && TARGET_SSE_MATH)"

Additionally, ix86_fp_comparison_operator predicate should be used for
operator0. Basically, just copy predicates from cbranchsf4 as we are
effectively expanding the SFmode compare & branch.

> > +  DONE;
> > +})
> > +
> >   (define_expand "cstorehf4"
> >     [(set (reg:CC FLAGS_REG)
> >       (compare:CC (match_operand:HF 2 "cmp_fp_expander_operand")
> > @@ -1659,6 +1701,45 @@ (define_expand "cstorehf4"
> >     DONE;
> >   })
> >
> > +(define_expand "cstorebf4"
> > +  [(set (reg:CC FLAGS_REG)
> > +     (compare:CC (match_operand:BF 2 "cmp_fp_expander_operand")
> > +                 (match_operand:BF 3 "cmp_fp_expander_operand")))
> > +   (set (match_operand:QI 0 "register_operand")
> > +     (match_operator 1 "comparison_operator"
> > +       [(reg:CC FLAGS_REG)
> > +        (const_int 0)]))]
> > +  ""
> > +{
> > +  rtx op1 = gen_lowpart (HImode, operands[2]);
> > +  if (CONST_INT_P (op1))
> > +    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> > +                                       operands[2], BFmode);
> > +  else
> > +    {
> > +      rtx t1 = gen_reg_rtx (SImode);
> > +      emit_insn (gen_zero_extendhisi2 (t1, op1));
> > +      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
> > +      op1 = gen_lowpart (SFmode, t1);
> > +    }
> > +  rtx op2 = gen_lowpart (HImode, operands[3]);
> > +  if (CONST_INT_P (op2))
> > +    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
> > +                                       operands[3], BFmode);
> > +  else
> > +    {
> > +      rtx t2 = gen_reg_rtx (SImode);
> > +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> > +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> > +      op2 = gen_lowpart (SFmode, t2);
> > +    }

Similar to cbranch above, use ix86_expand_setcc and copy predicates
from cstoresf4.

Uros.

> > +  rtx res = emit_store_flag_force (operands[0], GET_CODE (operands[1]),
> > +                                op1, op2, SFmode, 0, 1);
> > +  if (!rtx_equal_p (res, operands[0]))
> > +    emit_move_insn (operands[0], res);
> > +  DONE;
> > +})
> > +
> >   (define_expand "cstore<mode>4"
> >     [(set (reg:CC FLAGS_REG)
> >       (compare:CC (match_operand:MODEF 2 "cmp_fp_expander_operand")
> > --- gcc/c-family/c-cppbuiltin.cc.jj   2022-10-13 08:41:04.718165419 +0200
> > +++ gcc/c-family/c-cppbuiltin.cc      2022-10-13 17:51:07.722665421 +0200
> > @@ -1260,6 +1260,13 @@ c_cpp_builtins (cpp_reader *pfile)
> >         builtin_define_float_constants (prefix, ggc_strdup (csuffix), "%s",
> >                                     csuffix, FLOATN_NX_TYPE_NODE (i));
> >       }
> > +  if (bfloat16_type_node)
> > +    {
> > +      if (c_dialect_cxx () && cxx_dialect > cxx20)
> > +     cpp_define (pfile, "__STDCPP_BFLOAT16_T__=1");
> > +      builtin_define_float_constants ("BFLT16", "BF16", "%s",
> > +                                   "BF16", bfloat16_type_node);
> > +    }
> >
> >     /* For float.h.  */
> >     if (targetm.decimal_float_supported_p ())
> > @@ -1370,6 +1377,12 @@ c_cpp_builtins (cpp_reader *pfile)
> >             suffix[0] = 'l';
> >             memcpy (float_h_prefix, "LDBL", 5);
> >           }
> > +       else if (bfloat16_type_node
> > +                && mode == TYPE_MODE (bfloat16_type_node))
> > +         {
> > +           memcpy (suffix, "bf16", 5);
> > +           memcpy (float_h_prefix, "BFLT16", 7);
> > +         }
> >         else
> >           {
> >             bool found_suffix = false;
> > @@ -1396,22 +1409,28 @@ c_cpp_builtins (cpp_reader *pfile)
> >         machine_mode float16_type_mode = (float16_type_node
> >                                           ? TYPE_MODE (float16_type_node)
> >                                           : VOIDmode);
> > +       machine_mode bfloat16_type_mode = (bfloat16_type_node
> > +                                          ? TYPE_MODE (bfloat16_type_node)
> > +                                          : VOIDmode);
> >         switch (targetm.c.excess_precision
> >                   (EXCESS_PRECISION_TYPE_IMPLICIT))
> >           {
> >           case FLT_EVAL_METHOD_UNPREDICTABLE:
> >           case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
> >             excess_precision = (mode == float16_type_mode
> > +                               || mode == bfloat16_type_mode
> >                                 || mode == TYPE_MODE (float_type_node)
> >                                 || mode == TYPE_MODE (double_type_node));
> >             break;
> >
> >           case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
> >             excess_precision = (mode == float16_type_mode
> > +                               || mode == bfloat16_type_mode
> >                                 || mode == TYPE_MODE (float_type_node));
> >             break;
> >           case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
> > -           excess_precision = mode == float16_type_mode;
> > +           excess_precision = (mode == float16_type_mode
> > +                               || mode == bfloat16_type_mode);
> >             break;
> >           case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT16:
> >             excess_precision = false;
> > --- gcc/c-family/c-lex.cc.jj  2022-10-13 16:21:52.548842666 +0200
> > +++ gcc/c-family/c-lex.cc     2022-10-13 16:59:51.778540099 +0200
> > @@ -1000,6 +1000,22 @@ interpret_float (const cpp_token *token,
> >         pedwarn (input_location, OPT_Wpedantic,
> >                  "non-standard suffix on floating constant");
> >         }
> > +    else if ((flags & CPP_N_BFLOAT16) != 0)
> > +      {
> > +     type = bfloat16_type_node;
> > +     if (type == NULL_TREE)
> > +       {
> > +         error ("unsupported non-standard suffix on floating constant");
> > +         return error_mark_node;
> > +       }
> > +     if (!c_dialect_cxx ())
> > +       pedwarn (input_location, OPT_Wpedantic,
> > +                "non-standard suffix on floating constant");
> > +     else if (cxx_dialect < cxx23)
> > +       pedwarn (input_location, OPT_Wpedantic,
> > +                "%<bf16%> or %<BF16%> suffix on floating constant only "
> > +                "available with %<-std=c++2b%> or %<-std=gnu++2b%>");
> > +      }
> >       else if ((flags & CPP_N_WIDTH) == CPP_N_LARGE)
> >         type = long_double_type_node;
> >       else if ((flags & CPP_N_WIDTH) == CPP_N_SMALL
> > --- gcc/c/c-typeck.cc.jj      2022-10-06 17:43:47.900502672 +0200
> > +++ gcc/c/c-typeck.cc 2022-10-13 16:57:09.226771266 +0200
> > @@ -3678,6 +3678,9 @@ convert_arguments (location_t loc, vec<l
> >               promote_float_arg = false;
> >               break;
> >             }
> > +       /* Don't promote __bf16 either.  */
> > +       if (TYPE_MAIN_VARIANT (valtype) == bfloat16_type_node)
> > +         promote_float_arg = false;
> >       }
> >
> >         if (type != NULL_TREE)
> > --- gcc/cp/cp-tree.h.jj       2022-10-13 16:21:52.600841952 +0200
> > +++ gcc/cp/cp-tree.h  2022-10-13 16:57:09.241771060 +0200
> > @@ -8741,6 +8741,8 @@ extended_float_type_p (tree type)
> >     for (int i = 0; i < NUM_FLOATN_NX_TYPES; ++i)
> >       if (type == FLOATN_TYPE_NODE (i))
> >         return true;
> > +  if (type == bfloat16_type_node)
> > +    return true;
> >     return false;
> >   }
> >
> > --- gcc/cp/typeck.cc.jj       2022-10-13 16:21:52.642841375 +0200
> > +++ gcc/cp/typeck.cc  2022-10-13 16:57:09.269770676 +0200
> > @@ -293,6 +293,10 @@ cp_compare_floating_point_conversion_ran
> >         if (mv2 == FLOATN_NX_TYPE_NODE (i))
> >       extended2 = i + 1;
> >       }
> > +  if (mv1 == bfloat16_type_node)
> > +    extended1 = true;
> > +  if (mv2 == bfloat16_type_node)
> > +    extended2 = true;
> >     if (extended2 && !extended1)
> >       {
> >         int ret = cp_compare_floating_point_conversion_ranks (t2, t1);
> > @@ -390,7 +394,9 @@ cp_compare_floating_point_conversion_ran
> >     if (cnt > 1 && mv2 == long_double_type_node)
> >       return -2;
> >     /* Otherwise, they have equal rank, but extended types
> > -     (other than std::bfloat16_t) have higher subrank.  */
> > +     (other than std::bfloat16_t) have higher subrank.
> > +     std::bfloat16_t shouldn't have equal rank to any standard
> > +     floating point type.  */
> >     return 1;
> >   }
> >
> > --- gcc/testsuite/lib/target-supports.exp.jj  2022-10-11 14:50:14.472773574 +0200
> > +++ gcc/testsuite/lib/target-supports.exp     2022-10-13 16:57:09.270770662 +0200
> > @@ -3416,6 +3416,22 @@ proc check_effective_target_base_quadflo
> >       return 1
> >   }
> >
> > +# Return 1 if the target supports the __bf16 type, 0 otherwise.
> > +
> > +proc check_effective_target_bfloat16 {} {
> > +    return [check_no_compiler_messages_nocache bfloat16 object {
> > +     __bf16 foo (__bf16 x) { return x + x; }
> > +    } [add_options_for_bfloat16 ""]]
> > +}
> > +
> > +proc check_effective_target_bfloat16_runtime {} {
> > +    return [check_effective_target_bfloat16]
> > +}
> > +
> > +proc add_options_for_bfloat16 { flags } {
> > +    return "$flags"
> > +}
> > +
> >   # Return 1 if the target supports all four forms of fused multiply-add
> >   # (fma, fms, fnma, and fnms) for both float and double.
> >
> > --- gcc/testsuite/gcc.dg/torture/bfloat16-basic.c.jj  2022-10-13 16:57:09.271770648 +0200
> > +++ gcc/testsuite/gcc.dg/torture/bfloat16-basic.c     2022-10-13 17:32:28.531884882 +0200
> > @@ -0,0 +1,11 @@
> > +/* Test __bf16.  */
> > +/* { dg-do run } */
> > +/* { dg-options "" } */
> > +/* { dg-add-options bfloat16 } */
> > +/* { dg-require-effective-target bfloat16_runtime } */
> > +
> > +#define TYPE __bf16
> > +#define CST(C) CONCAT (C, bf16)
> > +#define CSTU(C) CONCAT (C, BF16)
> > +
> > +#include "floatn-basic.h"
> > --- gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c.jj        2022-10-13 16:57:09.271770648 +0200
> > +++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c   2022-10-13 18:09:24.288913634 +0200
> > @@ -0,0 +1,47 @@
> > +/* Test __bf16 built-in functions.  */
> > +/* { dg-do run } */
> > +/* { dg-options "" } */
> > +/* { dg-add-options bfloat16 } */
> > +/* { dg-add-options ieee } */
> > +/* { dg-require-effective-target bfloat16_runtime } */
> > +
> > +extern void exit (int);
> > +extern void abort (void);
> > +
> > +extern __bf16 test_type;
> > +extern __typeof (__builtin_nansf16b ("")) test_type;
> > +
> > +volatile __bf16 inf_cst = (__bf16) __builtin_inff ();
> > +volatile __bf16 huge_val_cst = (__bf16) __builtin_huge_valf ();
> > +volatile __bf16 nan_cst = (__bf16) __builtin_nanf ("");
> > +volatile __bf16 nans_cst = __builtin_nansf16b ("");
> > +volatile __bf16 neg0 = -0.0bf16, neg1 = -1.0bf16, one = 1.0;
> > +
> > +int
> > +main (void)
> > +{
> > +  volatile __bf16 r;
> > +  if (!__builtin_isinf (inf_cst))
> > +    abort ();
> > +  if (!__builtin_isinf (huge_val_cst))
> > +    abort ();
> > +  if (inf_cst != huge_val_cst)
> > +    abort ();
> > +  if (!__builtin_isnan (nan_cst))
> > +    abort ();
> > +  if (!__builtin_isnan (nans_cst))
> > +    abort ();
> > +  r = __builtin_fabsf (neg1);
> > +  if (r != 1.0bf16)
> > +    abort ();
> > +  r = __builtin_copysignf (one, neg0);
> > +  if (r != neg1)
> > +    abort ();
> > +  r = __builtin_copysignf (inf_cst, neg1);
> > +  if (r != -huge_val_cst)
> > +    abort ();
> > +  r = __builtin_copysignf (-inf_cst, one);
> > +  if (r != huge_val_cst)
> > +    abort ();
> > +  exit (0);
> > +}
> > --- gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c.jj  2022-10-13 16:57:09.271770648 +0200
> > +++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c     2022-10-13 17:40:15.067555349 +0200
> > @@ -0,0 +1,21 @@
> > +/* Test __bf16 __builtin_issignaling.  */
> > +/* { dg-do run } */
> > +/* { dg-options "" } */
> > +/* { dg-add-options bfloat16 } */
> > +/* { dg-add-options ieee } */
> > +/* { dg-require-effective-target bfloat16_runtime } */
> > +/* { dg-additional-options "-fsignaling-nans" } */
> > +/* Workaround for PR57484 on ia32: */
> > +/* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
> > +
> > +#define CONCATX(X, Y) X ## Y
> > +#define CONCAT(X, Y) CONCATX (X, Y)
> > +
> > +#define TYPE __bf16
> > +#define CST(C) CONCAT (C, bf16)
> > +#define FN(F) CONCAT (F, f16b)
> > +#define NAN(x) ((__bf16) __builtin_nanf (x))
> > +#define INF ((__bf16) __builtin_inff ())
> > +#define EXT 0
> > +
> > +#include "builtin-issignaling-1.c"
> > --- gcc/testsuite/gcc.dg/torture/bfloat16-complex.c.jj        2022-10-13 16:57:09.271770648 +0200
> > +++ gcc/testsuite/gcc.dg/torture/bfloat16-complex.c   2022-10-13 17:46:43.259267724 +0200
> > @@ -0,0 +1,61 @@
> > +/* Test __bf16 complex arithmetic.  */
> > +/* { dg-do run } */
> > +/* { dg-options "" } */
> > +/* { dg-add-options bfloat16 } */
> > +/* { dg-require-effective-target bfloat16_runtime } */
> > +
> > +extern void exit (int);
> > +extern void abort (void);
> > +
> > +volatile __bf16 a = 1.0bf16;
> > +typedef _Complex float __cbf16 __attribute__((__mode__(__BC__)));
> > +volatile __cbf16 b = __builtin_complex (2.0bf16, 3.0bf16);
> > +volatile __cbf16 c = __builtin_complex (2.0bf16, 3.0bf16);
> > +volatile __cbf16 d = __builtin_complex (2.0bf16, 3.0bf16);
> > +
> > +__cbf16
> > +fn (__cbf16 arg)
> > +{
> > +  return arg / 4;
> > +}
> > +
> > +int
> > +main (void)
> > +{
> > +  volatile __cbf16 r;
> > +  if (b != c)
> > +    abort ();
> > +  if (b != d)
> > +    abort ();
> > +  r = a + b;
> > +  if (__real__ r != 3.0bf16 || __imag__ r != 3.0bf16)
> > +    abort ();
> > +  r += d;
> > +  if (__real__ r != 5.0bf16 || __imag__ r != 6.0bf16)
> > +    abort ();
> > +  r -= a;
> > +  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
> > +    abort ();
> > +  r /= (a + a);
> > +  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
> > +    abort ();
> > +  r *= (a + a);
> > +  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
> > +    abort ();
> > +  r -= b;
> > +  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
> > +    abort ();
> > +  r *= r;
> > +  if (__real__ r != -5.0bf16 || __imag__ r != 12.0bf16)
> > +    abort ();
> > +  /* Division may not be exact, so round result before comparing.  */
> > +  r /= b;
> > +  r += __builtin_complex (100.0bf16, 100.0bf16);
> > +  r -= __builtin_complex (100.0bf16, 100.0bf16);
> > +  if (r != b)
> > +    abort ();
> > +  r = fn (r);
> > +  if (__real__ r != 0.5bf16 || __imag__ r != 0.75bf16)
> > +    abort ();
> > +  exit (0);
> > +}
> > --- gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c.jj   2022-10-03 18:00:53.118734300 +0200
> > +++ gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c      2022-10-13 17:39:19.387313780 +0200
> > @@ -4,7 +4,7 @@
> >   /* Workaround for PR57484 on ia32: */
> >   /* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
> >
> > -#ifndef EXT
> > +#if !defined(EXT) && !defined(TYPE)
> >   int
> >   f1 (void)
> >   {
> > @@ -41,31 +41,42 @@ f6 (long double x)
> >     return __builtin_issignaling (x);
> >   }
> >   #else
> > -#define CONCATX(X, Y) X ## Y
> > -#define CONCAT(X, Y) CONCATX (X, Y)
> > -#define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
> > -#define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
> > -
> > -#if EXT
> > -# define TYPE CONCAT3 (_Float, WIDTH, x)
> > -# define CST(C) CONCAT4 (C, f, WIDTH, x)
> > -# define FN(F) CONCAT4 (F, f, WIDTH, x)
> > -#else
> > -# define TYPE CONCAT (_Float, WIDTH)
> > -# define CST(C) CONCAT3 (C, f, WIDTH)
> > -# define FN(F) CONCAT3 (F, f, WIDTH)
> > +#ifndef TYPE
> > +# define CONCATX(X, Y) X ## Y
> > +# define CONCAT(X, Y) CONCATX (X, Y)
> > +# define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
> > +# define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
> > +
> > +# if EXT
> > +#  define TYPE CONCAT3 (_Float, WIDTH, x)
> > +#  define CST(C) CONCAT4 (C, f, WIDTH, x)
> > +#  define FN(F) CONCAT4 (F, f, WIDTH, x)
> > +# else
> > +#  define TYPE CONCAT (_Float, WIDTH)
> > +#  define CST(C) CONCAT3 (C, f, WIDTH)
> > +#  define FN(F) CONCAT3 (F, f, WIDTH)
> > +# endif
> > +#endif
> > +#ifndef NANS
> > +# define NANS(x) FN (__builtin_nans) (x)
> > +#endif
> > +#ifndef NAN
> > +# define NAN(x) FN (__builtin_nan) (x)
> > +#endif
> > +#ifndef INF
> > +# define INF FN (__builtin_inf) ()
> >   #endif
> >
> >   int
> >   f1 (void)
> >   {
> > -  return __builtin_issignaling (FN (__builtin_nans) (""));
> > +  return __builtin_issignaling (NANS (""));
> >   }
> >
> >   int
> >   f2 (void)
> >   {
> > -  return __builtin_issignaling (FN (__builtin_nan) (""));
> > +  return __builtin_issignaling (NAN (""));
> >   }
> >
> >   int
> > @@ -118,10 +129,10 @@ main ()
> >     if (!f6 (z))
> >       __builtin_abort ();
> >   #else
> > -  if (f4 (w) || !f4 (FN (__builtin_nans) ("0x123")) || f4 (CST (42.0)) || f4 (FN (__builtin_nan) ("0x234"))
> > -      || f4 (FN (__builtin_inf) ()) || f4 (-FN (__builtin_inf) ()) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
> > +  if (f4 (w) || !f4 (NANS ("0x123")) || f4 (CST (42.0)) || f4 (NAN ("0x234"))
> > +      || f4 (INF) || f4 (-INF) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
> >       __builtin_abort ();
> > -  w = FN (__builtin_nans) ("");
> > +  w = NANS ("");
> >     asm volatile ("" : : : "memory");
> >     if (!f4 (w))
> >       __builtin_abort ();
> > --- gcc/testsuite/gcc.dg/torture/floatn-basic.h.jj    2022-10-03 18:00:53.118734300 +0200
> > +++ gcc/testsuite/gcc.dg/torture/floatn-basic.h       2022-10-13 16:57:09.285770456 +0200
> > @@ -9,14 +9,16 @@
> >   #define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
> >   #define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
> >
> > -#if EXT
> > -# define TYPE CONCAT3 (_Float, WIDTH, x)
> > -# define CST(C) CONCAT4 (C, f, WIDTH, x)
> > -# define CSTU(C) CONCAT4 (C, F, WIDTH, x)
> > -#else
> > -# define TYPE CONCAT (_Float, WIDTH)
> > -# define CST(C) CONCAT3 (C, f, WIDTH)
> > -# define CSTU(C) CONCAT3 (C, F, WIDTH)
> > +#ifndef TYPE
> > +# if EXT
> > +#  define TYPE CONCAT3 (_Float, WIDTH, x)
> > +#  define CST(C) CONCAT4 (C, f, WIDTH, x)
> > +#  define CSTU(C) CONCAT4 (C, F, WIDTH, x)
> > +# else
> > +#  define TYPE CONCAT (_Float, WIDTH)
> > +#  define CST(C) CONCAT3 (C, f, WIDTH)
> > +#  define CSTU(C) CONCAT3 (C, F, WIDTH)
> > +# endif
> >   #endif
> >
> >   extern void exit (int);
> > --- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c.jj      2022-10-03 18:00:53.137734043 +0200
> > +++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c 2022-10-13 16:57:09.306770168 +0200
> > @@ -45,19 +45,19 @@ __m256bf16 footest (__m256bf16 vector0)
> >     __m256bf16 vector2_1 = {};
> >     __m256bf16 vector2_2 = { glob_bfloat };
> >     __m256bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
> > -  __m256bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error "invalid conversion to type '__bf16'" } */
> > -
> > -  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m256h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m256i initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __v16hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  __m256bf16 vector2_4 = { 0 };
> > +  __m256bf16 vector2_5 = { 0.1 };
> > +  __m256bf16 vector2_6 = { is_a_float16 };
> > +  __m256bf16 vector2_7 = { is_a_float };
> > +  __m256bf16 vector2_8 = { is_an_int };
> > +  __m256bf16 vector2_9 = { is_a_short_int };
> > +  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
> > +
> > +  __v8si initi_2_1 = { glob_bfloat };
> > +  __m256 initi_2_2 = { glob_bfloat };
> > +  __m256h initi_2_3 = { glob_bfloat };
> > +  __m256i initi_2_5 = { glob_bfloat };
> > +  __v16hi initi_2_6 = { glob_bfloat };
> >
> >     /* Assignments to/from vectors.  */
> >
> > @@ -79,25 +79,25 @@ __m256bf16 footest (__m256bf16 vector0)
> >     /* Assignments to/from elements.  */
> >
> >     vector2_3[0] = glob_bfloat;
> > -  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  vector2_3[0] = is_an_int;
> > +  vector2_3[0] = is_a_short_int;
> > +  vector2_3[0] = is_a_float;
> > +  vector2_3[0] = is_a_float16;
> > +  vector2_3[0] = 0;
> > +  vector2_3[0] = 0.1;
> >
> >     glob_bfloat = vector2_3[0];
> > -  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  is_an_int = vector2_3[0];
> > +  is_a_short_int = vector2_3[0];
> > +  is_a_float = vector2_3[0];
> > +  is_a_float16 = vector2_3[0];
> >
> >     /* Compound literals.  */
> >
> >     (__m256bf16) {};
> >
> > -  (__m256bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__m256bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  (__m256bf16) { 0 };
> > +  (__m256bf16) { 0.1 };
> >     (__m256bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
> >     (__m256bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
> >     (__m256bf16) { is_a_long_int_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256i'} } */
> > @@ -176,16 +176,16 @@ __m256bf16 footest (__m256bf16 vector0)
> >     bfloat_ptr = &bfloat_ptr3[1];
> >
> >     /* Simple comparison.  */
> > -  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  vector0 > glob_bfloat_vec;
> > +  glob_bfloat_vec == vector0;
> > +  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
> > +  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> > +  vector0 > 0;
> > +  0 == vector0;
> > +  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> > +  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> > +  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
> > +  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> >
> >     /* Pointer comparison.  */
> >
> > @@ -224,24 +224,24 @@ __m256bf16 footest (__m256bf16 vector0)
> >
> >     /* Unary operators.  */
> >
> > -  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  +vector0;
> > +  -vector0;
> > +  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
> > +  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
> >     *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
> > -  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  __real vector0; /* { dg-error {wrong type argument to __real} } */
> > +  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
> > +  ++vector0;
> > +  --vector0;
> > +  vector0++;
> > +  vector0--;
> >
> >     /* Binary arithmetic operations.  */
> >
> > -  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  vector0 = glob_bfloat_vec + *bfloat_ptr;
> > +  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
> > +  vector0 = glob_bfloat_vec + 0;
> > +  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
> >
> >     return vector0;
> >   }
> > --- gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c.jj 2022-10-03 18:00:53.136734057 +0200
> > +++ gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c    2022-10-13 16:57:09.327769880 +0200
> > @@ -12,8 +12,8 @@ double is_a_double;
> >
> >   float *float_ptr;
> >
> > -__bf16 foo1 (void) { return (__bf16) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
> > -__bf16 foo2 (void) { return (__bf16) (short) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
> > +__bf16 foo1 (void) { return (__bf16) 0x1234; }
> > +__bf16 foo2 (void) { return (__bf16) (short) 0x1234; }
> >
> >   __bf16 footest (__bf16 scalar0)
> >   {
> > @@ -22,87 +22,87 @@ __bf16 footest (__bf16 scalar0)
> >
> >     __bf16 scalar1_1;
> >     __bf16 scalar1_2 = glob_bfloat;
> > -  __bf16 scalar1_3 = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_4 = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_5 = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_6 = is_an_int;  /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_7 = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_8 = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar1_9 = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -
> > -  int initi_1_1 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  float initi_1_2 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  _Float16 initi_1_3 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  short initi_1_4 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  double initi_1_5 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  __bf16 scalar1_3 = 0;
> > +  __bf16 scalar1_4 = 0.1;
> > +  __bf16 scalar1_5 = is_a_float;
> > +  __bf16 scalar1_6 = is_an_int;
> > +  __bf16 scalar1_7 = is_a_float16;
> > +  __bf16 scalar1_8 = is_a_double;
> > +  __bf16 scalar1_9 = is_a_short_int;
> > +
> > +  int initi_1_1 = glob_bfloat;
> > +  float initi_1_2 = glob_bfloat;
> > +  _Float16 initi_1_3 = glob_bfloat;
> > +  short initi_1_4 = glob_bfloat;
> > +  double initi_1_5 = glob_bfloat;
> >
> >     __bf16 scalar2_1 = {};
> >     __bf16 scalar2_2 = { glob_bfloat };
> > -  __bf16 scalar2_3 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_4 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_5 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_6 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_7 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_8 = { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 scalar2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -
> > -  int initi_2_1 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  float initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  _Float16 initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  short initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  double initi_2_5 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  __bf16 scalar2_3 = { 0 };
> > +  __bf16 scalar2_4 = { 0.1 };
> > +  __bf16 scalar2_5 = { is_a_float };
> > +  __bf16 scalar2_6 = { is_an_int };
> > +  __bf16 scalar2_7 = { is_a_float16 };
> > +  __bf16 scalar2_8 = { is_a_double };
> > +  __bf16 scalar2_9 = { is_a_short_int };
> > +
> > +  int initi_2_1 = { glob_bfloat };
> > +  float initi_2_2 = { glob_bfloat };
> > +  _Float16 initi_2_3 = { glob_bfloat };
> > +  short initi_2_4 = { glob_bfloat };
> > +  double initi_2_5 = { glob_bfloat };
> >
> >     /* Assignments.  */
> >
> >     glob_bfloat = glob_bfloat;
> > -  glob_bfloat = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  glob_bfloat = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -
> > -  is_an_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float16 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_double = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_short_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  glob_bfloat = 0;
> > +  glob_bfloat = 0.1;
> > +  glob_bfloat = is_a_float;
> > +  glob_bfloat = is_an_int;
> > +  glob_bfloat = is_a_float16;
> > +  glob_bfloat = is_a_double;
> > +  glob_bfloat = is_a_short_int;
> > +
> > +  is_an_int = glob_bfloat;
> > +  is_a_float = glob_bfloat;
> > +  is_a_float16 = glob_bfloat;
> > +  is_a_double = glob_bfloat;
> > +  is_a_short_int = glob_bfloat;
> >
> >     /* Casting.  */
> >
> >     (void) glob_bfloat;
> >     (__bf16) glob_bfloat;
> >
> > -  (int) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (float) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (_Float16) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (double) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (short) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -
> > -  (__bf16) is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  (int) glob_bfloat;
> > +  (float) glob_bfloat;
> > +  (_Float16) glob_bfloat;
> > +  (double) glob_bfloat;
> > +  (short) glob_bfloat;
> > +
> > +  (__bf16) is_an_int;
> > +  (__bf16) is_a_float;
> > +  (__bf16) is_a_float16;
> > +  (__bf16) is_a_double;
> > +  (__bf16) is_a_short_int;
> >
> >     /* Compound literals.  */
> >
> >     (__bf16) {};
> >     (__bf16) { glob_bfloat };
> > -  (__bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__bf16) { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -
> > -  (int) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (float) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (_Float16) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (double) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  (short) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  (__bf16) { 0 };
> > +  (__bf16) { 0.1 };
> > +  (__bf16) { is_a_float };
> > +  (__bf16) { is_an_int };
> > +  (__bf16) { is_a_float16 };
> > +  (__bf16) { is_a_double };
> > +  (__bf16) { is_a_short_int };
> > +
> > +  (int) { glob_bfloat };
> > +  (float) { glob_bfloat };
> > +  (_Float16) { glob_bfloat };
> > +  (double) { glob_bfloat };
> > +  (short) { glob_bfloat };
> >
> >     /* Arrays and Structs.  */
> >
> > @@ -145,16 +145,16 @@ __bf16 footest (__bf16 scalar0)
> >     bfloat_ptr = &bfloat_ptr3[1];
> >
> >     /* Simple comparison.  */
> > -  scalar0 > glob_bfloat; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  glob_bfloat == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 > is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_a_float == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0.1 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 > is_an_int; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_an_int == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  scalar0 > glob_bfloat;
> > +  glob_bfloat == scalar0;
> > +  scalar0 > is_a_float;
> > +  is_a_float == scalar0;
> > +  scalar0 > 0;
> > +  0 == scalar0;
> > +  scalar0 > 0.1;
> > +  0.1 == scalar0;
> > +  scalar0 > is_an_int;
> > +  is_an_int == scalar0;
> >
> >     /* Pointer comparison.  */
> >
> > @@ -174,41 +174,41 @@ __bf16 footest (__bf16 scalar0)
> >     /* Conditional expressions.  */
> >
> >     0 ? scalar0 : scalar0;
> > -  0 ? scalar0 : is_a_float; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  0 ? is_a_float : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  0 ? scalar0 : 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  0 ? 0 : scalar0; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  0 ? 0.1 : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  0 ? scalar0 : 0.1; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  0 ? scalar0 : is_a_float;
> > +  0 ? is_a_float : scalar0;
> > +  0 ? scalar0 : 0;
> > +  0 ? 0 : scalar0;
> > +  0 ? 0.1 : scalar0;
> > +  0 ? scalar0 : 0.1;
> >     0 ? bfloat_ptr : bfloat_ptr2;
> >     0 ? bfloat_ptr : float_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
> >     0 ? float_ptr : bfloat_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
> >
> > -  scalar0 ? scalar0 : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 ? is_a_float : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 ? scalar0 : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 ? is_a_float : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  scalar0 ? scalar0 : scalar0;
> > +  scalar0 ? is_a_float : scalar0;
> > +  scalar0 ? scalar0 : is_a_float;
> > +  scalar0 ? is_a_float : is_a_float;
> >
> >     /* Unary operators.  */
> >
> > -  +scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  -scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ~scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  !scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  +scalar0;
> > +  -scalar0;
> > +  ~scalar0; /* { dg-error {wrong type argument to bit-complement} } */
> > +  !scalar0;
> >     *scalar0; /* { dg-error {invalid type argument of unary '\*'} } */
> > -  __real scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  __imag scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ++scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  --scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  __real scalar0;
> > +  __imag scalar0;
> > +  ++scalar0;
> > +  --scalar0;
> > +  scalar0++;
> > +  scalar0--;
> >
> >     /* Binary arithmetic operations.  */
> >
> > -  scalar0 = glob_bfloat + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 = glob_bfloat + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 = glob_bfloat + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  scalar0 = glob_bfloat + is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  scalar0 = glob_bfloat + *bfloat_ptr;
> > +  scalar0 = glob_bfloat + 0.1;
> > +  scalar0 = glob_bfloat + 0;
> > +  scalar0 = glob_bfloat + is_a_float;
> >
> >     return scalar0;
> >   }
> > --- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c.jj      2022-10-03 18:00:53.136734057 +0200
> > +++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c 2022-10-13 16:57:09.344769646 +0200
> > @@ -48,20 +48,20 @@ __m128bf16 footest (__m128bf16 vector0)
> >     __m128bf16 vector2_1 = {};
> >     __m128bf16 vector2_2 = { glob_bfloat };
> >     __m128bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
> > -  __m128bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -
> > -  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m128h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __m128 initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __v4si initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  __v4hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  __m128bf16 vector2_4 = { 0 };
> > +  __m128bf16 vector2_5 = { 0.1 };
> > +  __m128bf16 vector2_6 = { is_a_float16 };
> > +  __m128bf16 vector2_7 = { is_a_float };
> > +  __m128bf16 vector2_8 = { is_an_int };
> > +  __m128bf16 vector2_9 = { is_a_short_int };
> > +  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
> > +
> > +  __v8si initi_2_1 = { glob_bfloat };
> > +  __m256 initi_2_2 = { glob_bfloat };
> > +  __m128h initi_2_3 = { glob_bfloat };
> > +  __m128 initi_2_4 = { glob_bfloat };
> > +  __v4si initi_2_5 = { glob_bfloat };
> > +  __v4hi initi_2_6 = { glob_bfloat };
> >
> >     /* Assignments to/from vectors.  */
> >
> > @@ -85,25 +85,25 @@ __m128bf16 footest (__m128bf16 vector0)
> >     /* Assignments to/from elements.  */
> >
> >     vector2_3[0] = glob_bfloat;
> > -  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  vector2_3[0] = is_an_int;
> > +  vector2_3[0] = is_a_short_int;
> > +  vector2_3[0] = is_a_float;
> > +  vector2_3[0] = is_a_float16;
> > +  vector2_3[0] = 0;
> > +  vector2_3[0] = 0.1;
> >
> >     glob_bfloat = vector2_3[0];
> > -  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > -  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
> > +  is_an_int = vector2_3[0];
> > +  is_a_short_int = vector2_3[0];
> > +  is_a_float = vector2_3[0];
> > +  is_a_float16 = vector2_3[0];
> >
> >     /* Compound literals.  */
> >
> >     (__m128bf16) {};
> >
> > -  (__m128bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  (__m128bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  (__m128bf16) { 0 };
> > +  (__m128bf16) { 0.1 };
> >     (__m128bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
> >     (__m128bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
> >     (__m128bf16) { is_a_float_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m128'} } */
> > @@ -186,16 +186,16 @@ __m128bf16 footest (__m128bf16 vector0)
> >     bfloat_ptr = &bfloat_ptr3[1];
> >
> >     /* Simple comparison.  */
> > -  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  vector0 > glob_bfloat_vec;
> > +  glob_bfloat_vec == vector0;
> > +  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
> > +  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> > +  vector0 > 0;
> > +  0 == vector0;
> > +  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> > +  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> > +  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
> > +  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
> >
> >     /* Pointer comparison.  */
> >
> > @@ -234,24 +234,24 @@ __m128bf16 footest (__m128bf16 vector0)
> >
> >     /* Unary operators.  */
> >
> > -  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  +vector0;
> > +  -vector0;
> > +  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
> > +  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
> >     *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
> > -  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  __real vector0; /* { dg-error {wrong type argument to __real} } */
> > +  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
> > +  ++vector0;
> > +  --vector0;
> > +  vector0++;
> > +  vector0--;
> >
> >     /* Binary arithmetic operations.  */
> >
> > -  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
> > -  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
> > +  vector0 = glob_bfloat_vec + *bfloat_ptr;
> > +  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
> > +  vector0 = glob_bfloat_vec + 0;
> > +  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
> >
> >     return vector0;
> >   }
> > --- gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C.jj   2022-10-03 18:00:53.109734421 +0200
> > +++ gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C      2022-10-13 16:57:09.362769399 +0200
> > @@ -5,6 +5,6 @@ void foo (void)
> >   {
> >     __bf16 (); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> >     __bf16 a = __bf16(); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> > -  __bf16 (0x1234); /* { dg-error {invalid conversion to type '__bf16'} } */
> > -  __bf16 (0.1); /* { dg-error {invalid conversion to type '__bf16'} } */
> > +  __bf16 (0x1234); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> > +  __bf16 (0.1); /* { dg-bogus {invalid conversion to type '__bf16'} } */
> >   }
> > --- libcpp/include/cpplib.h.jj        2022-10-03 18:00:53.251732506 +0200
> > +++ libcpp/include/cpplib.h   2022-10-13 16:57:09.384769097 +0200
> > @@ -1275,6 +1275,7 @@ struct cpp_num
> >   #define CPP_N_USERDEF       0x1000000 /* C++11 user-defined literal.  */
> >
> >   #define CPP_N_SIZE_T        0x2000000 /* C++23 size_t literal.  */
> > +#define CPP_N_BFLOAT16       0x4000000 /* std::bfloat16_t type.  */
> >
> >   #define CPP_N_WIDTH_FLOATN_NX       0xF0000000 /* _FloatN / _FloatNx value
> >                                             of N, divided by 16.  */
> > --- libcpp/expr.cc.jj 2022-10-03 18:00:53.221732910 +0200
> > +++ libcpp/expr.cc    2022-10-13 16:58:01.360055690 +0200
> > @@ -91,10 +91,10 @@ interpret_float_suffix (cpp_reader *pfil
> >     size_t orig_len = len;
> >     const uchar *orig_s = s;
> >     size_t flags;
> > -  size_t f, d, l, w, q, i, fn, fnx, fn_bits;
> > +  size_t f, d, l, w, q, i, fn, fnx, fn_bits, bf16;
> >
> >     flags = 0;
> > -  f = d = l = w = q = i = fn = fnx = fn_bits = 0;
> > +  f = d = l = w = q = i = fn = fnx = fn_bits = bf16 = 0;
> >
> >     /* The following decimal float suffixes, from TR 24732:2009, TS
> >        18661-2:2015 and C2X, are supported:
> > @@ -131,7 +131,8 @@ interpret_float_suffix (cpp_reader *pfil
> >        w, W - machine-specific type such as __float80 (GNU extension).
> >        q, Q - machine-specific type such as __float128 (GNU extension).
> >        fN, FN - _FloatN (TS 18661-3:2015).
> > -     fNx, FNx - _FloatNx (TS 18661-3:2015).  */
> > +     fNx, FNx - _FloatNx (TS 18661-3:2015).
> > +     bf16, BF16 - std::bfloat16_t (ISO C++23).  */
> >
> >     /* Process decimal float suffixes, which are two letters starting
> >        with d or D.  Order and case are significant.  */
> > @@ -239,6 +240,19 @@ interpret_float_suffix (cpp_reader *pfil
> >               fn++;
> >           }
> >         break;
> > +     case 'b': case 'B':
> > +       if (len > 2
> > +           /* Except for bf16 / BF16 where case is significant.  */
> > +           && s[1] == (s[0] == 'b' ? 'f' : 'F')
> > +           && s[2] == '1'
> > +           && s[3] == '6')
> > +         {
> > +           bf16++;
> > +           len -= 3;
> > +           s += 3;
> > +           break;
> > +         }
> > +       return 0;
> >       case 'd': case 'D': d++; break;
> >       case 'l': case 'L': l++; break;
> >       case 'w': case 'W': w++; break;
> > @@ -257,7 +271,7 @@ interpret_float_suffix (cpp_reader *pfil
> >        of N larger than can be represented in the return value.  The
> >        caller is responsible for rejecting _FloatN suffixes where
> >        _FloatN is not supported on the chosen target.  */
> > -  if (f + d + l + w + q + fn + fnx > 1 || i > 1)
> > +  if (f + d + l + w + q + fn + fnx + bf16 > 1 || i > 1)
> >       return 0;
> >     if (fn_bits > CPP_FLOATN_MAX)
> >       return 0;
> > @@ -295,6 +309,7 @@ interpret_float_suffix (cpp_reader *pfil
> >            q ? CPP_N_MD_Q :
> >            fn ? CPP_N_FLOATN | (fn_bits << CPP_FLOATN_SHIFT) :
> >            fnx ? CPP_N_FLOATNX | (fn_bits << CPP_FLOATN_SHIFT) :
> > +          bf16 ? CPP_N_BFLOAT16 :
> >            CPP_N_DEFAULT));
> >   }
> >
> > --- libgcc/config/i386/t-softfp.jj    2022-10-03 18:00:53.314731656 +0200
> > +++ libgcc/config/i386/t-softfp       2022-10-13 16:57:09.426768521 +0200
> > @@ -6,8 +6,9 @@ LIB2FUNCS_EXCLUDE += $(libgcc2-hf-functi
> >   libgcc2-hf-extras = $(addsuffix .c, $(libgcc2-hf-functions))
> >   LIB2ADD += $(addprefix $(srcdir)/config/i386/, $(libgcc2-hf-extras))
> >
> > -softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf
> > -softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf
> > +softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf bfsf
> > +softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf \
> > +                   tfbf xfbf dfbf sfbf hfbf
> >
> >   softfp_extras += eqhf2
> >
> > @@ -15,11 +16,17 @@ CFLAGS-extendhfsf2.c += -msse2
> >   CFLAGS-extendhfdf2.c += -msse2
> >   CFLAGS-extendhftf2.c += -msse2
> >   CFLAGS-extendhfxf2.c += -msse2
> > +CFLAGS-extendbfsf2.c += -msse2
> >
> >   CFLAGS-truncsfhf2.c += -msse2
> >   CFLAGS-truncdfhf2.c += -msse2
> >   CFLAGS-truncxfhf2.c += -msse2
> >   CFLAGS-trunctfhf2.c += -msse2
> > +CFLAGS-truncsfbf2.c += -msse2
> > +CFLAGS-truncdfbf2.c += -msse2
> > +CFLAGS-truncxfbf2.c += -msse2
> > +CFLAGS-trunctfbf2.c += -msse2
> > +CFLAGS-trunchfbf2.c += -msse2
> >
> >   CFLAGS-eqhf2.c += -msse2
> >   CFLAGS-_divhc3.c += -msse2
> > --- libgcc/config/i386/libgcc-glibc.ver.jj    2022-10-03 18:00:53.313731670 +0200
> > +++ libgcc/config/i386/libgcc-glibc.ver       2022-10-13 16:57:09.438768356 +0200
> > @@ -214,3 +214,13 @@ GCC_12.0.0 {
> >     __trunctfhf2
> >     __truncxfhf2
> >   }
> > +
> > +%inherit GCC_13.0.0 GCC_12.0.0
> > +GCC_13.0.0 {
> > +  __extendbfsf2
> > +  __truncdfbf2
> > +  __truncsfbf2
> > +  __trunctfbf2
> > +  __truncxfbf2
> > +  __trunchfbf2
> > +}
> > --- libgcc/config/i386/sfp-machine.h.jj       2022-10-03 18:00:53.313731670 +0200
> > +++ libgcc/config/i386/sfp-machine.h  2022-10-13 16:57:09.441768315 +0200
> > @@ -18,6 +18,7 @@ typedef int __gcc_CMPtype __attribute__
> >   #define _FP_QNANNEGATEDP 0
> >
> >   #define _FP_NANSIGN_H               1
> > +#define _FP_NANSIGN_B                1
> >   #define _FP_NANSIGN_S               1
> >   #define _FP_NANSIGN_D               1
> >   #define _FP_NANSIGN_E               1
> > --- libgcc/config/i386/64/sfp-machine.h.jj    2022-10-03 18:00:53.290731980 +0200
> > +++ libgcc/config/i386/64/sfp-machine.h       2022-10-13 16:57:09.451768178 +0200
> > @@ -14,6 +14,7 @@ typedef unsigned int UTItype __attribute
> >   #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_2_udiv(Q,R,X,Y)
> >
> >   #define _FP_NANFRAC_H               _FP_QNANBIT_H
> > +#define _FP_NANFRAC_B                _FP_QNANBIT_B
> >   #define _FP_NANFRAC_S               _FP_QNANBIT_S
> >   #define _FP_NANFRAC_D               _FP_QNANBIT_D
> >   #define _FP_NANFRAC_E               _FP_QNANBIT_E, 0
> > --- libgcc/config/i386/32/sfp-machine.h.jj    2022-10-03 18:00:53.290731980 +0200
> > +++ libgcc/config/i386/32/sfp-machine.h       2022-10-13 16:57:09.459768068 +0200
> > @@ -87,6 +87,7 @@
> >   #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_4_udiv(Q,R,X,Y)
> >
> >   #define _FP_NANFRAC_H               _FP_QNANBIT_H
> > +#define _FP_NANFRAC_B                _FP_QNANBIT_B
> >   #define _FP_NANFRAC_S               _FP_QNANBIT_S
> >   #define _FP_NANFRAC_D               _FP_QNANBIT_D, 0
> >   /* Even if XFmode is 12byte,  we have to pad it to
> > --- libgcc/soft-fp/brain.h.jj 2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/brain.h    2022-10-13 16:57:09.459768068 +0200
> > @@ -0,0 +1,172 @@
> > +/* Software floating-point emulation.
> > +   Definitions for Brain Floating Point format (bfloat16).
> > +   Copyright (C) 1997-2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <https://www.gnu.org/licenses/>.  */
> > +
> > +#ifndef SOFT_FP_BRAIN_H
> > +#define SOFT_FP_BRAIN_H      1
> > +
> > +#if _FP_W_TYPE_SIZE < 32
> > +# error "Here's a nickel kid.  Go buy yourself a real computer."
> > +#endif
> > +
> > +#define _FP_FRACTBITS_B              (_FP_W_TYPE_SIZE)
> > +
> > +#define _FP_FRACTBITS_DW_B   (_FP_W_TYPE_SIZE)
> > +
> > +#define _FP_FRACBITS_B               8
> > +#define _FP_FRACXBITS_B              (_FP_FRACTBITS_B - _FP_FRACBITS_B)
> > +#define _FP_WFRACBITS_B              (_FP_WORKBITS + _FP_FRACBITS_B)
> > +#define _FP_WFRACXBITS_B     (_FP_FRACTBITS_B - _FP_WFRACBITS_B)
> > +#define _FP_EXPBITS_B                8
> > +#define _FP_EXPBIAS_B                127
> > +#define _FP_EXPMAX_B         255
> > +
> > +#define _FP_QNANBIT_B                ((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2))
> > +#define _FP_QNANBIT_SH_B     ((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2+_FP_WORKBITS))
> > +#define _FP_IMPLBIT_B                ((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1))
> > +#define _FP_IMPLBIT_SH_B     ((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1+_FP_WORKBITS))
> > +#define _FP_OVERFLOW_B               ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_B))
> > +
> > +#define _FP_WFRACBITS_DW_B   (2 * _FP_WFRACBITS_B)
> > +#define _FP_WFRACXBITS_DW_B  (_FP_FRACTBITS_DW_B - _FP_WFRACBITS_DW_B)
> > +#define _FP_HIGHBIT_DW_B     \
> > +  ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_B - 1) % _FP_W_TYPE_SIZE)
> > +
> > +/* The implementation of _FP_MUL_MEAT_B and _FP_DIV_MEAT_B should be
> > +   chosen by the target machine.  */
> > +
> > +typedef float BFtype __attribute__ ((mode (BF)));
> > +
> > +union _FP_UNION_B
> > +{
> > +  BFtype flt;
> > +  struct _FP_STRUCT_LAYOUT
> > +  {
> > +#if __BYTE_ORDER == __BIG_ENDIAN
> > +    unsigned sign : 1;
> > +    unsigned exp  : _FP_EXPBITS_B;
> > +    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
> > +#else
> > +    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
> > +    unsigned exp  : _FP_EXPBITS_B;
> > +    unsigned sign : 1;
> > +#endif
> > +  } bits;
> > +};
> > +
> > +#define FP_DECL_B(X)         _FP_DECL (1, X)
> > +#define FP_UNPACK_RAW_B(X, val)      _FP_UNPACK_RAW_1 (B, X, (val))
> > +#define FP_UNPACK_RAW_BP(X, val)     _FP_UNPACK_RAW_1_P (B, X, (val))
> > +#define FP_PACK_RAW_B(val, X)        _FP_PACK_RAW_1 (B, (val), X)
> > +#define FP_PACK_RAW_BP(val, X)                       \
> > +  do                                         \
> > +    {                                                \
> > +      if (!FP_INHIBIT_RESULTS)                       \
> > +     _FP_PACK_RAW_1_P (B, (val), X);         \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_UNPACK_B(X, val)                  \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_UNPACK_RAW_1 (B, X, (val));                \
> > +      _FP_UNPACK_CANONICAL (B, 1, X);                \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_UNPACK_BP(X, val)                 \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_UNPACK_RAW_1_P (B, X, (val));              \
> > +      _FP_UNPACK_CANONICAL (B, 1, X);                \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_UNPACK_SEMIRAW_B(X, val)          \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_UNPACK_RAW_1 (B, X, (val));                \
> > +      _FP_UNPACK_SEMIRAW (B, 1, X);          \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_UNPACK_SEMIRAW_BP(X, val)         \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_UNPACK_RAW_1_P (B, X, (val));              \
> > +      _FP_UNPACK_SEMIRAW (B, 1, X);          \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_PACK_B(val, X)                    \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_PACK_CANONICAL (B, 1, X);          \
> > +      _FP_PACK_RAW_1 (B, (val), X);          \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_PACK_BP(val, X)                   \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_PACK_CANONICAL (B, 1, X);          \
> > +      if (!FP_INHIBIT_RESULTS)                       \
> > +     _FP_PACK_RAW_1_P (B, (val), X);         \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_PACK_SEMIRAW_B(val, X)            \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_PACK_SEMIRAW (B, 1, X);            \
> > +      _FP_PACK_RAW_1 (B, (val), X);          \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_PACK_SEMIRAW_BP(val, X)           \
> > +  do                                         \
> > +    {                                                \
> > +      _FP_PACK_SEMIRAW (B, 1, X);            \
> > +      if (!FP_INHIBIT_RESULTS)                       \
> > +     _FP_PACK_RAW_1_P (B, (val), X);         \
> > +    }                                                \
> > +  while (0)
> > +
> > +#define FP_TO_INT_B(r, X, rsz, rsg)  _FP_TO_INT (B, 1, (r), X, (rsz), (rsg))
> > +#define FP_TO_INT_ROUND_B(r, X, rsz, rsg)    \
> > +  _FP_TO_INT_ROUND (B, 1, (r), X, (rsz), (rsg))
> > +#define FP_FROM_INT_B(X, r, rs, rt)  _FP_FROM_INT (B, 1, X, (r), (rs), rt)
> > +
> > +/* BFmode arithmetic is not implemented.  */
> > +
> > +#define _FP_FRAC_HIGH_B(X)   _FP_FRAC_HIGH_1 (X)
> > +#define _FP_FRAC_HIGH_RAW_B(X)       _FP_FRAC_HIGH_1 (X)
> > +#define _FP_FRAC_HIGH_DW_B(X)        _FP_FRAC_HIGH_1 (X)
> > +
> > +#define FP_CMP_EQ_B(r, X, Y, ex)       _FP_CMP_EQ (B, 1, (r), X, Y, (ex))
> > +
> > +#endif /* !SOFT_FP_BRAIN_H */
> > --- libgcc/soft-fp/truncsfbf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/truncsfbf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,48 @@
> > +/* Software floating-point emulation.
> > +   Truncate IEEE single into bfloat16.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "single.h"
> > +
> > +BFtype
> > +__truncsfbf2 (SFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_S (A);
> > +  FP_DECL_B (R);
> > +  BFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  FP_UNPACK_SEMIRAW_S (A, a);
> > +  FP_TRUNC (B, S, 1, 1, R, A);
> > +  FP_PACK_SEMIRAW_B (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/truncdfbf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/truncdfbf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,52 @@
> > +/* Software floating-point emulation.
> > +   Truncate IEEE double into bfloat16.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "double.h"
> > +
> > +BFtype
> > +__truncdfbf2 (DFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_D (A);
> > +  FP_DECL_B (R);
> > +  BFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  FP_UNPACK_SEMIRAW_D (A, a);
> > +#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D
> > +  FP_TRUNC (B, D, 1, 2, R, A);
> > +#else
> > +  FP_TRUNC (B, D, 1, 1, R, A);
> > +#endif
> > +  FP_PACK_SEMIRAW_B (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/truncxfbf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/truncxfbf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,52 @@
> > +/* Software floating-point emulation.
> > +   Truncate IEEE extended into bfloat16.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "extended.h"
> > +
> > +BFtype
> > +__truncxfbf2 (XFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_E (A);
> > +  FP_DECL_B (R);
> > +  BFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  FP_UNPACK_SEMIRAW_E (A, a);
> > +#if _FP_W_TYPE_SIZE < 64
> > +  FP_TRUNC (B, E, 1, 4, R, A);
> > +#else
> > +  FP_TRUNC (B, E, 1, 2, R, A);
> > +#endif
> > +  FP_PACK_SEMIRAW_B (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/trunctfbf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/trunctfbf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,52 @@
> > +/* Software floating-point emulation.
> > +   Truncate IEEE quad into bfloat16.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <https://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "quad.h"
> > +
> > +BFtype
> > +__trunctfbf2 (TFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_Q (A);
> > +  FP_DECL_B (R);
> > +  BFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  FP_UNPACK_SEMIRAW_Q (A, a);
> > +#if _FP_W_TYPE_SIZE < 64
> > +  FP_TRUNC (B, Q, 1, 4, R, A);
> > +#else
> > +  FP_TRUNC (B, Q, 1, 2, R, A);
> > +#endif
> > +  FP_PACK_SEMIRAW_B (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/trunchfbf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/trunchfbf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,58 @@
> > +/* Software floating-point emulation.
> > +   Truncate IEEE half into bfloat16.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "half.h"
> > +#include "single.h"
> > +
> > +/* BFtype and HFtype are unordered, neither is a superset or subset
> > +   of each other.  Convert HFtype to SFtype (lossless) and then
> > +   truncate to BFtype.  */
> > +
> > +BFtype
> > +__trunchfbf2 (HFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_H (A);
> > +  FP_DECL_S (B);
> > +  FP_DECL_B (R);
> > +  SFtype b;
> > +  BFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  FP_UNPACK_RAW_H (A, a);
> > +  FP_EXTEND (S, H, 1, 1, B, A);
> > +  FP_PACK_RAW_S (b, B);
> > +  FP_UNPACK_SEMIRAW_S (B, b);
> > +  FP_TRUNC (B, S, 1, 1, R, B);
> > +  FP_PACK_SEMIRAW_B (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/truncbfhf2.c.jj    2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/truncbfhf2.c       2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,75 @@
> > +/* Software floating-point emulation.
> > +   Truncate bfloat16 into IEEE half.
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#include "soft-fp.h"
> > +#include "half.h"
> > +#include "brain.h"
> > +#include "single.h"
> > +
> > +/* BFtype and HFtype are unordered, neither is a superset or subset
> > +   of each other.  Convert BFtype to SFtype (lossless) and then
> > +   truncate to HFtype.  */
> > +
> > +HFtype
> > +__truncbfhf2 (BFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_H (A);
> > +  FP_DECL_S (B);
> > +  FP_DECL_B (R);
> > +  SFtype b;
> > +  HFtype r;
> > +
> > +  FP_INIT_ROUNDMODE;
> > +  /* Optimize BFtype to SFtype conversion to simple left shift
> > +     by 16 if possible, we don't need to raise exceptions on sNaN
> > +     here as the SFtype to HFtype truncation should do that too.  */
> > +  if (sizeof (BFtype) == 2
> > +      && sizeof (unsigned short) == 2
> > +      && sizeof (SFtype) == 4
> > +      && sizeof (unsigned int) == 4)
> > +    {
> > +      union { BFtype a; unsigned short b; } u1;
> > +      union { SFtype a; unsigned int b; } u2;
> > +      u1.a = a;
> > +      u2.b = (u1.b << 8) << 8;
> > +      b = u2.a;
> > +    }
> > +  else
> > +    {
> > +      FP_UNPACK_RAW_B (A, a);
> > +      FP_EXTEND (S, B, 1, 1, B, A);
> > +      FP_PACK_RAW_S (b, B);
> > +    }
> > +  FP_UNPACK_SEMIRAW_S (B, b);
> > +  FP_TRUNC (H, S, 1, 1, R, B);
> > +  FP_PACK_SEMIRAW_H (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libgcc/soft-fp/extendbfsf2.c.jj   2022-10-13 16:57:09.460768054 +0200
> > +++ libgcc/soft-fp/extendbfsf2.c      2022-10-13 16:57:09.460768054 +0200
> > @@ -0,0 +1,49 @@
> > +/* Software floating-point emulation.
> > +   Return an bfloat16 converted to IEEE single
> > +   Copyright (C) 2022 Free Software Foundation, Inc.
> > +   This file is part of the GNU C Library.
> > +
> > +   The GNU C Library is free software; you can redistribute it and/or
> > +   modify it under the terms of the GNU Lesser General Public
> > +   License as published by the Free Software Foundation; either
> > +   version 2.1 of the License, or (at your option) any later version.
> > +
> > +   In addition to the permissions in the GNU Lesser General Public
> > +   License, the Free Software Foundation gives you unlimited
> > +   permission to link the compiled version of this file into
> > +   combinations with other programs, and to distribute those
> > +   combinations without any restriction coming from the use of this
> > +   file.  (The Lesser General Public License restrictions do apply in
> > +   other respects; for example, they cover modification of the file,
> > +   and distribution when not linked into a combine executable.)
> > +
> > +   The GNU C Library is distributed in the hope that it will be useful,
> > +   but WITHOUT ANY WARRANTY; without even the implied warranty of
> > +   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
> > +   Lesser General Public License for more details.
> > +
> > +   You should have received a copy of the GNU Lesser General Public
> > +   License along with the GNU C Library; if not, see
> > +   <http://www.gnu.org/licenses/>.  */
> > +
> > +#define FP_NO_EXACT_UNDERFLOW
> > +#include "soft-fp.h"
> > +#include "brain.h"
> > +#include "single.h"
> > +
> > +SFtype
> > +__extendbfsf2 (BFtype a)
> > +{
> > +  FP_DECL_EX;
> > +  FP_DECL_B (A);
> > +  FP_DECL_S (R);
> > +  SFtype r;
> > +
> > +  FP_INIT_EXCEPTIONS;
> > +  FP_UNPACK_RAW_B (A, a);
> > +  FP_EXTEND (S, B, 1, 1, R, A);
> > +  FP_PACK_RAW_S (r, R);
> > +  FP_HANDLE_EXCEPTIONS;
> > +
> > +  return r;
> > +}
> > --- libiberty/cp-demangle.h.jj        2022-10-03 18:00:53.342731278 +0200
> > +++ libiberty/cp-demangle.h   2022-10-13 16:57:09.488767670 +0200
> > @@ -180,7 +180,7 @@ d_advance (struct d_info *di, int i)
> >   extern const struct demangle_operator_info cplus_demangle_operators[];
> >   #endif
> >
> > -#define D_BUILTIN_TYPE_COUNT (35)
> > +#define D_BUILTIN_TYPE_COUNT (36)
> >
> >   CP_STATIC_IF_GLIBCPP_V3
> >   const struct demangle_builtin_type_info
> > --- libiberty/cp-demangle.c.jj        2022-10-11 14:50:14.605771753 +0200
> > +++ libiberty/cp-demangle.c   2022-10-13 16:57:09.538766983 +0200
> > @@ -2487,6 +2487,7 @@ cplus_demangle_builtin_types[D_BUILTIN_T
> >     /* 33 */ { NL ("decltype(nullptr)"),      NL ("decltype(nullptr)"),
> >            D_PRINT_DEFAULT },
> >     /* 34 */ { NL ("_Float"), NL ("_Float"),          D_PRINT_FLOAT },
> > +  /* 35 */ { NL ("std::bfloat16_t"), NL ("std::bfloat16_t"), D_PRINT_FLOAT },
> >   };
> >
> >   CP_STATIC_IF_GLIBCPP_V3
> > @@ -2751,11 +2752,22 @@ cplus_demangle_type (struct d_info *di)
> >
> >       case 'F':
> >         /* DF<number>_ - _Float<number>.
> > -          DF<number>x - _Float<number>x.  */
> > +          DF<number>x - _Float<number>x
> > +          DF16b - std::bfloat16_t.  */
> >         {
> >           int arg = d_number (di);
> >           char buf[12];
> >           char suffix = 0;
> > +         if (d_peek_char (di) == 'b')
> > +           {
> > +             if (arg != 16)
> > +               return NULL;
> > +             d_advance (di, 1);
> > +             ret = d_make_builtin_type (di,
> > +                                        &cplus_demangle_builtin_types[35]);
> > +             di->expansion += ret->u.s_builtin.type->len;
> > +             break;
> > +           }
> >           if (d_peek_char (di) == 'x')
> >             suffix = 'x';
> >           if (!suffix && d_peek_char (di) != '_')
> > --- libiberty/testsuite/demangle-expected.jj  2022-10-11 14:50:14.618771575 +0200
> > +++ libiberty/testsuite/demangle-expected     2022-10-13 16:57:09.553766778 +0200
> > @@ -1249,6 +1249,10 @@ xxx
> >   _Z3xxxDF32xDF64xDF128xCDF32xVb
> >   xxx(_Float32x, _Float64x, _Float128x, _Float32x _Complex, bool volatile)
> >   xxx
> > +--format=auto --no-params
> > +_Z3xxxDF16b
> > +xxx(std::bfloat16_t)
> > +xxx
> >   # https://sourceware.org/bugzilla/show_bug.cgi?id=16817
> >   --format=auto --no-params
> >   _QueueNotification_QueueController__$4PPPPPPPM_A_INotice___Z
> >
> >
> >       Jakub
> >
>
  
Jakub Jelinek Oct. 13, 2022, 9:35 p.m. UTC | #3
On Thu, Oct 13, 2022 at 11:11:53PM +0200, Uros Bizjak wrote:
> > > +  do_compare_rtx_and_jump (op1, op2, GET_CODE (operands[0]), 0,
> > > +                        SFmode, NULL_RTX, NULL,
> > > +                        as_a <rtx_code_label *> (operands[3]),
> > > +                        /* Unfortunately this isn't propagated.  */
> > > +                        profile_probability::even ());
> 
> You could use ix86_expand_branch instead of do_compare_rtx_and_jump
> here. This would expand in SFmode, so insn condition from cbranchsf4
> should be copied here:
> 
>   "TARGET_80387 || (SSE_FLOAT_MODE_P (SFmode) && TARGET_SSE_MATH)"
> 
> Additionally, ix86_fp_comparison_operator predicate should be used for
> operator0. Basically, just copy predicates from cbranchsf4 as we are
> effectively expanding the SFmode compare & branch.

The reason why I've used there the generic routine was exactly to handle
not just ix86_fp_comparison_operator, but also comparisons that are more
complex than that (need 2 comparisons).

While for ix86_fp_comparison_operator cases the optabs wouldn't be actually
strictly needed, the generic code would see e.g. cbranchbf4 isn't supported
and try cbranchsf4, succeed on that and the only disadvantage would be
that the BFmode -> SFmode extensions would be performed using library
functions unless -ffast-math while they can be handled by left shifting
the 16 BFmode bits to most significant 16 bits of SFmode even when honoring
NaNs, for the non-ix86_fp_comparison_operator cases the generic behavior
is actually that neither cbranchbf4, nor cbranchsf4, nor cbranchdf4, nor
cbranchxf4, nor cbranchtf4 works out and generic code emits a libcall
(__{eq,ne}bf2).  I bet that is the reason why libgcc contains __{eq,ne}hf2
entrypoints.
I wanted to avoid adding __{eq,ne}bf2 and the addition of
cbranchbf4/cstorebf4 was how I managed to do that; by telling the
generic code that it can handle those by the faster BFmode to SFmode
conversions of the operands and then perform one or two bit checks.

I guess another possibility would be to call ix86_expand_branch there
once or twice and repeat what the generic code does, or add the
libgcc entrypoints which would perhaps bypass soft-fp and just do the
shifts + SFmode comparison.

> > > +  else
> > > +    {
> > > +      rtx t2 = gen_reg_rtx (SImode);
> > > +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> > > +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> > > +      op2 = gen_lowpart (SFmode, t2);
> > > +    }
> 
> Similar to cbranch above, use ix86_expand_setcc and copy predicates
> from cstoresf4.

Ditto here, cstore was actually quite required by the generic code when
cbranch is implemented.

	Jakub
  
Uros Bizjak Oct. 13, 2022, 9:46 p.m. UTC | #4
On Thu, Oct 13, 2022 at 11:35 PM Jakub Jelinek <jakub@redhat.com> wrote:
>
> On Thu, Oct 13, 2022 at 11:11:53PM +0200, Uros Bizjak wrote:
> > > > +  do_compare_rtx_and_jump (op1, op2, GET_CODE (operands[0]), 0,
> > > > +                        SFmode, NULL_RTX, NULL,
> > > > +                        as_a <rtx_code_label *> (operands[3]),
> > > > +                        /* Unfortunately this isn't propagated.  */
> > > > +                        profile_probability::even ());
> >
> > You could use ix86_expand_branch instead of do_compare_rtx_and_jump
> > here. This would expand in SFmode, so insn condition from cbranchsf4
> > should be copied here:
> >
> >   "TARGET_80387 || (SSE_FLOAT_MODE_P (SFmode) && TARGET_SSE_MATH)"
> >
> > Additionally, ix86_fp_comparison_operator predicate should be used for
> > operator0. Basically, just copy predicates from cbranchsf4 as we are
> > effectively expanding the SFmode compare & branch.
>
> The reason why I've used there the generic routine was exactly to handle
> not just ix86_fp_comparison_operator, but also comparisons that are more
> complex than that (need 2 comparisons).
>
> While for ix86_fp_comparison_operator cases the optabs wouldn't be actually
> strictly needed, the generic code would see e.g. cbranchbf4 isn't supported
> and try cbranchsf4, succeed on that and the only disadvantage would be
> that the BFmode -> SFmode extensions would be performed using library
> functions unless -ffast-math while they can be handled by left shifting
> the 16 BFmode bits to most significant 16 bits of SFmode even when honoring
> NaNs, for the non-ix86_fp_comparison_operator cases the generic behavior
> is actually that neither cbranchbf4, nor cbranchsf4, nor cbranchdf4, nor
> cbranchxf4, nor cbranchtf4 works out and generic code emits a libcall
> (__{eq,ne}bf2).  I bet that is the reason why libgcc contains __{eq,ne}hf2
> entrypoints.
> I wanted to avoid adding __{eq,ne}bf2 and the addition of
> cbranchbf4/cstorebf4 was how I managed to do that; by telling the
> generic code that it can handle those by the faster BFmode to SFmode
> conversions of the operands and then perform one or two bit checks.

Thanks, for the explanation, I see the intention now.

The patch is OK as is.

Thanks,
Uros.

> I guess another possibility would be to call ix86_expand_branch there
> once or twice and repeat what the generic code does, or add the
> libgcc entrypoints which would perhaps bypass soft-fp and just do the
> shifts + SFmode comparison.
>
> > > > +  else
> > > > +    {
> > > > +      rtx t2 = gen_reg_rtx (SImode);
> > > > +      emit_insn (gen_zero_extendhisi2 (t2, op2));
> > > > +      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
> > > > +      op2 = gen_lowpart (SFmode, t2);
> > > > +    }
> >
> > Similar to cbranch above, use ix86_expand_setcc and copy predicates
> > from cstoresf4.
>
> Ditto here, cstore was actually quite required by the generic code when
> cbranch is implemented.
>
>         Jakub
>
  

Patch

--- gcc/tree-core.h.jj	2022-10-10 09:31:57.683981308 +0200
+++ gcc/tree-core.h	2022-10-13 16:57:08.953775013 +0200
@@ -665,6 +665,9 @@  enum tree_index {
   TI_DOUBLE_TYPE,
   TI_LONG_DOUBLE_TYPE,
 
+  /* __bf16 type if supported (used in C++ as std::bfloat16_t).  */
+  TI_BFLOAT16_TYPE,
+
   /* The _FloatN and _FloatNx types must be consecutive, and in the
      same sequence as the corresponding complex types, which must also
      be consecutive; _FloatN must come before _FloatNx; the order must
--- gcc/tree.h.jj	2022-10-10 09:31:57.766980149 +0200
+++ gcc/tree.h	2022-10-13 17:22:14.728207071 +0200
@@ -4291,6 +4291,7 @@  tree_strip_any_location_wrapper (tree ex
 #define float_type_node			global_trees[TI_FLOAT_TYPE]
 #define double_type_node		global_trees[TI_DOUBLE_TYPE]
 #define long_double_type_node		global_trees[TI_LONG_DOUBLE_TYPE]
+#define bfloat16_type_node		global_trees[TI_BFLOAT16_TYPE]
 
 /* Nodes for particular _FloatN and _FloatNx types in sequence.  */
 #define FLOATN_TYPE_NODE(IDX)		global_trees[TI_FLOATN_TYPE_FIRST + (IDX)]
--- gcc/tree.cc.jj	2022-10-10 09:31:57.743980470 +0200
+++ gcc/tree.cc	2022-10-13 16:57:08.956774972 +0200
@@ -7711,7 +7711,7 @@  excess_precision_type (tree type)
     = (flag_excess_precision == EXCESS_PRECISION_FAST
        ? EXCESS_PRECISION_TYPE_FAST
        : (flag_excess_precision == EXCESS_PRECISION_FLOAT16
-	  ? EXCESS_PRECISION_TYPE_FLOAT16 :EXCESS_PRECISION_TYPE_STANDARD));
+	  ? EXCESS_PRECISION_TYPE_FLOAT16 : EXCESS_PRECISION_TYPE_STANDARD));
 
   enum flt_eval_method target_flt_eval_method
     = targetm.c.excess_precision (requested_type);
@@ -7736,6 +7736,9 @@  excess_precision_type (tree type)
   machine_mode float16_type_mode = (float16_type_node
 				    ? TYPE_MODE (float16_type_node)
 				    : VOIDmode);
+  machine_mode bfloat16_type_mode = (bfloat16_type_node
+				     ? TYPE_MODE (bfloat16_type_node)
+				     : VOIDmode);
   machine_mode float_type_mode = TYPE_MODE (float_type_node);
   machine_mode double_type_mode = TYPE_MODE (double_type_node);
 
@@ -7747,16 +7750,19 @@  excess_precision_type (tree type)
 	switch (target_flt_eval_method)
 	  {
 	  case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
-	    if (type_mode == float16_type_mode)
+	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode)
 	      return float_type_node;
 	    break;
 	  case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
 	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode
 		|| type_mode == float_type_mode)
 	      return double_type_node;
 	    break;
 	  case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
 	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode
 		|| type_mode == float_type_mode
 		|| type_mode == double_type_mode)
 	      return long_double_type_node;
@@ -7774,16 +7780,19 @@  excess_precision_type (tree type)
 	switch (target_flt_eval_method)
 	  {
 	  case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
-	    if (type_mode == float16_type_mode)
+	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode)
 	      return complex_float_type_node;
 	    break;
 	  case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
 	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode
 		|| type_mode == float_type_mode)
 	      return complex_double_type_node;
 	    break;
 	  case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
 	    if (type_mode == float16_type_mode
+		|| type_mode == bfloat16_type_mode
 		|| type_mode == float_type_mode
 		|| type_mode == double_type_mode)
 	      return complex_long_double_type_node;
@@ -9462,6 +9471,17 @@  build_common_tree_nodes (bool signed_cha
       SET_TYPE_MODE (FLOATN_NX_TYPE_NODE (i), mode);
     }
   float128t_type_node = float128_type_node;
+#ifdef HAVE_BFmode
+  if (REAL_MODE_FORMAT (BFmode) == &arm_bfloat_half_format
+      && targetm.scalar_mode_supported_p (BFmode)
+      && targetm.libgcc_floating_mode_supported_p (BFmode))
+    {
+      bfloat16_type_node = make_node (REAL_TYPE);
+      TYPE_PRECISION (bfloat16_type_node) = GET_MODE_PRECISION (BFmode);
+      layout_type (bfloat16_type_node);
+      SET_TYPE_MODE (bfloat16_type_node, BFmode);
+    }
+#endif
 
   float_ptr_type_node = build_pointer_type (float_type_node);
   double_ptr_type_node = build_pointer_type (double_type_node);
--- gcc/expmed.h.jj	2022-10-03 18:00:53.046735271 +0200
+++ gcc/expmed.h	2022-10-13 16:57:08.957774958 +0200
@@ -707,6 +707,8 @@  extern rtx expand_variable_shift (enum t
 				  rtx, tree, rtx, int);
 extern rtx expand_shift (enum tree_code, machine_mode, rtx, poly_int64, rtx,
 			 int);
+extern rtx maybe_expand_shift (enum tree_code, machine_mode, rtx, int, rtx,
+			       int);
 #ifdef GCC_OPTABS_H
 extern rtx expand_divmod (int, enum tree_code, machine_mode, rtx, rtx,
 			  rtx, int, enum optab_methods = OPTAB_LIB_WIDEN);
--- gcc/expmed.cc.jj	2022-10-13 16:22:17.755496384 +0200
+++ gcc/expmed.cc	2022-10-13 16:57:08.957774958 +0200
@@ -2705,7 +2705,7 @@  expand_shift (enum tree_code code, machi
 
 /* Likewise, but return 0 if that cannot be done.  */
 
-static rtx
+rtx
 maybe_expand_shift (enum tree_code code, machine_mode mode, rtx shifted,
 		    int amount, rtx target, int unsignedp)
 {
--- gcc/expr.cc.jj	2022-10-06 17:43:47.941502119 +0200
+++ gcc/expr.cc	2022-10-13 16:57:09.022774066 +0200
@@ -344,7 +344,11 @@  convert_mode_scalar (rtx to, rtx from, i
       gcc_assert ((GET_MODE_PRECISION (from_mode)
 		   != GET_MODE_PRECISION (to_mode))
 		  || (DECIMAL_FLOAT_MODE_P (from_mode)
-		      != DECIMAL_FLOAT_MODE_P (to_mode)));
+		      != DECIMAL_FLOAT_MODE_P (to_mode))
+		  || (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
+		      && REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
+		  || (REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
+		      && REAL_MODE_FORMAT (from_mode) == &ieee_half_format));
 
       if (GET_MODE_PRECISION (from_mode) == GET_MODE_PRECISION (to_mode))
 	/* Conversion between decimal float and binary float, same size.  */
@@ -364,6 +368,150 @@  convert_mode_scalar (rtx to, rtx from, i
 	  return;
 	}
 
+#ifdef HAVE_SFmode
+      if (REAL_MODE_FORMAT (from_mode) == &arm_bfloat_half_format
+	  && REAL_MODE_FORMAT (SFmode) == &ieee_single_format)
+	{
+	  if (GET_MODE_PRECISION (to_mode) > GET_MODE_PRECISION (SFmode))
+	    {
+	      /* To cut down on libgcc size, implement
+		 BFmode -> {DF,XF,TF}mode conversions by
+		 BFmode -> SFmode -> {DF,XF,TF}mode conversions.  */
+	      rtx temp = gen_reg_rtx (SFmode);
+	      convert_mode_scalar (temp, from, unsignedp);
+	      convert_mode_scalar (to, temp, unsignedp);
+	      return;
+	    }
+	  if (REAL_MODE_FORMAT (to_mode) == &ieee_half_format)
+	    {
+	      /* Similarly, implement BFmode -> HFmode as
+		 BFmode -> SFmode -> HFmode conversion where SFmode
+		 has superset of BFmode values.  We don't need
+		 to handle sNaNs by raising exception and turning
+		 into into qNaN though, as that can be done in the
+		 SFmode -> HFmode conversion too.  */
+	      rtx temp = gen_reg_rtx (SFmode);
+	      int save_flag_finite_math_only = flag_finite_math_only;
+	      flag_finite_math_only = true;
+	      convert_mode_scalar (temp, from, unsignedp);
+	      flag_finite_math_only = save_flag_finite_math_only;
+	      convert_mode_scalar (to, temp, unsignedp);
+	      return;
+	    }
+	  if (to_mode == SFmode
+	      && !HONOR_NANS (from_mode)
+	      && !HONOR_NANS (to_mode)
+	      && optimize_insn_for_speed_p ())
+	    {
+	      /* If we don't expect sNaNs, for BFmode -> SFmode we can just
+		 shift the bits up.  */
+	      machine_mode fromi_mode, toi_mode;
+	      if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
+				     0).exists (&fromi_mode)
+		  && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
+					0).exists (&toi_mode))
+		{
+		  start_sequence ();
+		  rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
+		  rtx tof = NULL_RTX;
+		  if (fromi)
+		    {
+		      rtx toi = gen_reg_rtx (toi_mode);
+		      convert_mode_scalar (toi, fromi, 1);
+		      toi
+			= maybe_expand_shift (LSHIFT_EXPR, toi_mode, toi,
+					      GET_MODE_PRECISION (to_mode)
+					      - GET_MODE_PRECISION (from_mode),
+					      NULL_RTX, 1);
+		      if (toi)
+			{
+			  tof = lowpart_subreg (to_mode, toi, toi_mode);
+			  if (tof)
+			    emit_move_insn (to, tof);
+			}
+		    }
+		  insns = get_insns ();
+		  end_sequence ();
+		  if (tof)
+		    {
+		      emit_insn (insns);
+		      return;
+		    }
+		}
+	    }
+	}
+      if (REAL_MODE_FORMAT (from_mode) == &ieee_single_format
+	  && REAL_MODE_FORMAT (to_mode) == &arm_bfloat_half_format
+	  && !HONOR_NANS (from_mode)
+	  && !HONOR_NANS (to_mode)
+	  && !flag_rounding_math
+	  && optimize_insn_for_speed_p ())
+	{
+	  /* If we don't expect qNaNs nor sNaNs and can assume rounding
+	     to nearest, we can expand the conversion inline as
+	     (fromi + 0x7fff + ((fromi >> 16) & 1)) >> 16.  */
+	  machine_mode fromi_mode, toi_mode;
+	  if (int_mode_for_size (GET_MODE_BITSIZE (from_mode),
+				 0).exists (&fromi_mode)
+	      && int_mode_for_size (GET_MODE_BITSIZE (to_mode),
+				    0).exists (&toi_mode))
+	    {
+	      start_sequence ();
+	      rtx fromi = lowpart_subreg (fromi_mode, from, from_mode);
+	      rtx tof = NULL_RTX;
+	      do
+		{
+		  if (!fromi)
+		    break;
+		  int shift = (GET_MODE_PRECISION (from_mode)
+			       - GET_MODE_PRECISION (to_mode));
+		  rtx temp1
+		    = maybe_expand_shift (RSHIFT_EXPR, fromi_mode, fromi,
+					  shift, NULL_RTX, 1);
+		  if (!temp1)
+		    break;
+		  rtx temp2
+		    = expand_binop (fromi_mode, and_optab, temp1, const1_rtx,
+				    NULL_RTX, 1, OPTAB_DIRECT);
+		  if (!temp2)
+		    break;
+		  rtx temp3
+		    = expand_binop (fromi_mode, add_optab, fromi,
+				    gen_int_mode ((HOST_WIDE_INT_1U
+						   << (shift - 1)) - 1,
+						  fromi_mode), NULL_RTX,
+				    1, OPTAB_DIRECT);
+		  if (!temp3)
+		    break;
+		  rtx temp4
+		    = expand_binop (fromi_mode, add_optab, temp3, temp2,
+				    NULL_RTX, 1, OPTAB_DIRECT);
+		  if (!temp4)
+		    break;
+		  rtx temp5 = maybe_expand_shift (RSHIFT_EXPR, fromi_mode,
+						  temp4, shift, NULL_RTX, 1);
+		  if (!temp5)
+		    break;
+		  rtx temp6 = lowpart_subreg (toi_mode, temp5, fromi_mode);
+		  if (!temp6)
+		    break;
+		  tof = lowpart_subreg (to_mode, force_reg (toi_mode, temp6),
+					toi_mode);
+		  if (tof)
+		    emit_move_insn (to, tof);
+		}
+	      while (0);
+	      insns = get_insns ();
+	      end_sequence ();
+	      if (tof)
+		{
+		  emit_insn (insns);
+		  return;
+		}
+	    }
+	}
+#endif
+
       /* Otherwise use a libcall.  */
       libcall = convert_optab_libfunc (tab, to_mode, from_mode);
 
--- gcc/builtin-types.def.jj	2022-10-03 18:00:52.658740505 +0200
+++ gcc/builtin-types.def	2022-10-13 17:09:52.930317869 +0200
@@ -82,6 +82,9 @@  DEF_PRIMITIVE_TYPE (BT_UNWINDWORD, (*lan
 DEF_PRIMITIVE_TYPE (BT_FLOAT, float_type_node)
 DEF_PRIMITIVE_TYPE (BT_DOUBLE, double_type_node)
 DEF_PRIMITIVE_TYPE (BT_LONGDOUBLE, long_double_type_node)
+DEF_PRIMITIVE_TYPE (BT_BFLOAT16, (bfloat16_type_node
+				  ? bfloat16_type_node
+				  : error_mark_node))
 DEF_PRIMITIVE_TYPE (BT_FLOAT16, (float16_type_node
 				 ? float16_type_node
 				 : error_mark_node))
@@ -264,6 +267,7 @@  DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT_CONST_S
 DEF_FUNCTION_TYPE_1 (BT_FN_DOUBLE_CONST_STRING, BT_DOUBLE, BT_CONST_STRING)
 DEF_FUNCTION_TYPE_1 (BT_FN_LONGDOUBLE_CONST_STRING,
 		     BT_LONGDOUBLE, BT_CONST_STRING)
+DEF_FUNCTION_TYPE_1 (BT_FN_BFLOAT16_CONST_STRING, BT_BFLOAT16, BT_CONST_STRING)
 DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT16_CONST_STRING, BT_FLOAT16, BT_CONST_STRING)
 DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT32_CONST_STRING, BT_FLOAT32, BT_CONST_STRING)
 DEF_FUNCTION_TYPE_1 (BT_FN_FLOAT64_CONST_STRING, BT_FLOAT64, BT_CONST_STRING)
--- gcc/builtins.def.jj	2022-10-03 18:00:52.679740221 +0200
+++ gcc/builtins.def	2022-10-13 17:09:05.633962625 +0200
@@ -514,6 +514,7 @@  DEF_GCC_BUILTIN        (BUILT_IN_NANSF,
 DEF_GCC_BUILTIN        (BUILT_IN_NANSL, "nansl", BT_FN_LONGDOUBLE_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
 DEF_GCC_FLOATN_NX_BUILTINS (BUILT_IN_NANS, "nans", NAN_TYPE, ATTR_CONST_NOTHROW_NONNULL)
 #undef NAN_TYPE
+DEF_GCC_BUILTIN        (BUILT_IN_NANSF16B, "nansf16b", BT_FN_BFLOAT16_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
 DEF_GCC_BUILTIN        (BUILT_IN_NANSD32, "nansd32", BT_FN_DFLOAT32_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
 DEF_GCC_BUILTIN        (BUILT_IN_NANSD64, "nansd64", BT_FN_DFLOAT64_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
 DEF_GCC_BUILTIN        (BUILT_IN_NANSD128, "nansd128", BT_FN_DFLOAT128_CONST_STRING, ATTR_CONST_NOTHROW_NONNULL)
--- gcc/fold-const-call.cc.jj	2022-09-03 09:35:41.107989686 +0200
+++ gcc/fold-const-call.cc	2022-10-13 17:20:59.579229947 +0200
@@ -1301,6 +1301,7 @@  fold_const_call (combined_fn fn, tree ty
 
     CASE_CFN_NANS:
     CASE_FLT_FN_FLOATN_NX (CFN_BUILT_IN_NANS):
+    case CFN_BUILT_IN_NANSF16B:
     case CFN_BUILT_IN_NANSD32:
     case CFN_BUILT_IN_NANSD64:
     case CFN_BUILT_IN_NANSD128:
--- gcc/config/i386/i386.cc.jj	2022-10-03 18:00:52.942736674 +0200
+++ gcc/config/i386/i386.cc	2022-10-13 16:57:09.092773105 +0200
@@ -2423,6 +2423,7 @@  classify_argument (machine_mode mode, co
       classes[1] = X86_64_SSEUP_CLASS;
       return 2;
     case E_HCmode:
+    case E_BCmode:
       classes[0] = X86_64_SSE_CLASS;
       if (!(bit_offset % 64))
 	return 1;
@@ -22428,7 +22429,7 @@  ix86_libgcc_floating_mode_supported_p (s
      be defined by the C front-end for AVX512FP16 intrinsics.  We will
      issue an error in ix86_expand_move for HFmode if AVX512FP16 isn't
      enabled.  */
-  return ((mode == HFmode && TARGET_SSE2)
+  return (((mode == HFmode || mode == BFmode) && TARGET_SSE2)
 	  ? true
 	  : default_libgcc_floating_mode_supported_p (mode));
 }
@@ -22731,7 +22732,7 @@  ix86_mangle_type (const_tree type)
   switch (TYPE_MODE (type))
     {
     case E_BFmode:
-      return "u6__bf16";
+      return "DF16b";
     case E_HFmode:
       /* _Float16 is "DF16_".
 	 Align with clang's decision in https://reviews.llvm.org/D33719. */
@@ -22747,55 +22748,6 @@  ix86_mangle_type (const_tree type)
     }
 }
 
-/* Return the diagnostic message string if conversion from FROMTYPE to
-   TOTYPE is not allowed, NULL otherwise.  */
-
-static const char *
-ix86_invalid_conversion (const_tree fromtype, const_tree totype)
-{
-  if (element_mode (fromtype) != element_mode (totype))
-    {
-      /* Do no allow conversions to/from BFmode scalar types.  */
-      if (TYPE_MODE (fromtype) == BFmode)
-	return N_("invalid conversion from type %<__bf16%>");
-      if (TYPE_MODE (totype) == BFmode)
-	return N_("invalid conversion to type %<__bf16%>");
-    }
-
-  /* Conversion allowed.  */
-  return NULL;
-}
-
-/* Return the diagnostic message string if the unary operation OP is
-   not permitted on TYPE, NULL otherwise.  */
-
-static const char *
-ix86_invalid_unary_op (int op, const_tree type)
-{
-  /* Reject all single-operand operations on BFmode except for &.  */
-  if (element_mode (type) == BFmode && op != ADDR_EXPR)
-    return N_("operation not permitted on type %<__bf16%>");
-
-  /* Operation allowed.  */
-  return NULL;
-}
-
-/* Return the diagnostic message string if the binary operation OP is
-   not permitted on TYPE1 and TYPE2, NULL otherwise.  */
-
-static const char *
-ix86_invalid_binary_op (int op ATTRIBUTE_UNUSED, const_tree type1,
-			   const_tree type2)
-{
-  /* Reject all 2-operand operations on BFmode.  */
-  if (element_mode (type1) == BFmode
-      || element_mode (type2) == BFmode)
-    return N_("operation not permitted on type %<__bf16%>");
-
-  /* Operation allowed.  */
-  return NULL;
-}
-
 static GTY(()) tree ix86_tls_stack_chk_guard_decl;
 
 static tree
@@ -24853,15 +24805,6 @@  ix86_libgcc_floating_mode_supported_p
 #undef TARGET_MANGLE_TYPE
 #define TARGET_MANGLE_TYPE ix86_mangle_type
 
-#undef TARGET_INVALID_CONVERSION
-#define TARGET_INVALID_CONVERSION ix86_invalid_conversion
-
-#undef TARGET_INVALID_UNARY_OP
-#define TARGET_INVALID_UNARY_OP ix86_invalid_unary_op
-
-#undef TARGET_INVALID_BINARY_OP
-#define TARGET_INVALID_BINARY_OP ix86_invalid_binary_op
-
 #undef TARGET_STACK_PROTECT_GUARD
 #define TARGET_STACK_PROTECT_GUARD ix86_stack_protect_guard
 
--- gcc/config/i386/i386-builtins.cc.jj	2022-10-03 18:00:52.918736997 +0200
+++ gcc/config/i386/i386-builtins.cc	2022-10-13 16:57:09.119772735 +0200
@@ -126,7 +126,6 @@  BDESC_VERIFYS (IX86_BUILTIN_MAX,
 static GTY(()) tree ix86_builtin_type_tab[(int) IX86_BT_LAST_CPTR + 1];
 
 tree ix86_float16_type_node = NULL_TREE;
-tree ix86_bf16_type_node = NULL_TREE;
 tree ix86_bf16_ptr_type_node = NULL_TREE;
 
 /* Retrieve an element from the above table, building some of
@@ -1372,16 +1371,18 @@  ix86_register_float16_builtin_type (void
 static void
 ix86_register_bf16_builtin_type (void)
 {
-  ix86_bf16_type_node = make_node (REAL_TYPE);
-  TYPE_PRECISION (ix86_bf16_type_node) = 16;
-  SET_TYPE_MODE (ix86_bf16_type_node, BFmode);
-  layout_type (ix86_bf16_type_node);
+  if (bfloat16_type_node == NULL_TREE)
+    {
+      bfloat16_type_node = make_node (REAL_TYPE);
+      TYPE_PRECISION (bfloat16_type_node) = 16;
+      SET_TYPE_MODE (bfloat16_type_node, BFmode);
+      layout_type (bfloat16_type_node);
+    }
 
   if (!maybe_get_identifier ("__bf16") && TARGET_SSE2)
     {
-      lang_hooks.types.register_builtin_type (ix86_bf16_type_node,
-					    "__bf16");
-      ix86_bf16_ptr_type_node = build_pointer_type (ix86_bf16_type_node);
+      lang_hooks.types.register_builtin_type (bfloat16_type_node, "__bf16");
+      ix86_bf16_ptr_type_node = build_pointer_type (bfloat16_type_node);
     }
 }
 
--- gcc/config/i386/i386-builtin-types.def.jj	2022-10-03 18:00:52.894737321 +0200
+++ gcc/config/i386/i386-builtin-types.def	2022-10-13 16:57:09.139772460 +0200
@@ -69,7 +69,7 @@  DEF_PRIMITIVE_TYPE (UINT16, short_unsign
 DEF_PRIMITIVE_TYPE (INT64, long_long_integer_type_node)
 DEF_PRIMITIVE_TYPE (UINT64, long_long_unsigned_type_node)
 DEF_PRIMITIVE_TYPE (FLOAT16, ix86_float16_type_node)
-DEF_PRIMITIVE_TYPE (BFLOAT16, ix86_bf16_type_node)
+DEF_PRIMITIVE_TYPE (BFLOAT16, bfloat16_type_node)
 DEF_PRIMITIVE_TYPE (FLOAT, float_type_node)
 DEF_PRIMITIVE_TYPE (DOUBLE, double_type_node)
 DEF_PRIMITIVE_TYPE (FLOAT80, float80_type_node)
--- gcc/config/i386/i386.md.jj	2022-10-11 15:57:05.005762022 +0200
+++ gcc/config/i386/i386.md	2022-10-13 16:57:09.187771801 +0200
@@ -1644,6 +1644,48 @@  (define_expand "cbranch<mode>4"
   DONE;
 })
 
+(define_expand "cbranchbf4"
+  [(set (reg:CC FLAGS_REG)
+	(compare:CC (match_operand:BF 1 "cmp_fp_expander_operand")
+		    (match_operand:BF 2 "cmp_fp_expander_operand")))
+   (set (pc) (if_then_else
+	      (match_operator 0 "comparison_operator"
+	       [(reg:CC FLAGS_REG)
+		(const_int 0)])
+	      (label_ref (match_operand 3))
+	      (pc)))]
+  ""
+{
+  rtx op1 = gen_lowpart (HImode, operands[1]);
+  if (CONST_INT_P (op1))
+    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
+					  operands[1], BFmode);
+  else
+    {
+      rtx t1 = gen_reg_rtx (SImode);
+      emit_insn (gen_zero_extendhisi2 (t1, op1));
+      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
+      op1 = gen_lowpart (SFmode, t1);
+    }
+  rtx op2 = gen_lowpart (HImode, operands[2]);
+  if (CONST_INT_P (op2))
+    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
+					  operands[2], BFmode);
+  else
+    {
+      rtx t2 = gen_reg_rtx (SImode);
+      emit_insn (gen_zero_extendhisi2 (t2, op2));
+      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
+      op2 = gen_lowpart (SFmode, t2);
+    }
+  do_compare_rtx_and_jump (op1, op2, GET_CODE (operands[0]), 0,
+			   SFmode, NULL_RTX, NULL,
+			   as_a <rtx_code_label *> (operands[3]),
+			   /* Unfortunately this isn't propagated.  */
+			   profile_probability::even ());
+  DONE;
+})
+
 (define_expand "cstorehf4"
   [(set (reg:CC FLAGS_REG)
 	(compare:CC (match_operand:HF 2 "cmp_fp_expander_operand")
@@ -1659,6 +1701,45 @@  (define_expand "cstorehf4"
   DONE;
 })
 
+(define_expand "cstorebf4"
+  [(set (reg:CC FLAGS_REG)
+	(compare:CC (match_operand:BF 2 "cmp_fp_expander_operand")
+		    (match_operand:BF 3 "cmp_fp_expander_operand")))
+   (set (match_operand:QI 0 "register_operand")
+	(match_operator 1 "comparison_operator"
+	  [(reg:CC FLAGS_REG)
+	   (const_int 0)]))]
+  ""
+{
+  rtx op1 = gen_lowpart (HImode, operands[2]);
+  if (CONST_INT_P (op1))
+    op1 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
+					  operands[2], BFmode);
+  else
+    {
+      rtx t1 = gen_reg_rtx (SImode);
+      emit_insn (gen_zero_extendhisi2 (t1, op1));
+      emit_insn (gen_ashlsi3 (t1, t1, GEN_INT (16)));
+      op1 = gen_lowpart (SFmode, t1);
+    }
+  rtx op2 = gen_lowpart (HImode, operands[3]);
+  if (CONST_INT_P (op2))
+    op2 = simplify_const_unary_operation (FLOAT_EXTEND, SFmode,
+					  operands[3], BFmode);
+  else
+    {
+      rtx t2 = gen_reg_rtx (SImode);
+      emit_insn (gen_zero_extendhisi2 (t2, op2));
+      emit_insn (gen_ashlsi3 (t2, t2, GEN_INT (16)));
+      op2 = gen_lowpart (SFmode, t2);
+    }
+  rtx res = emit_store_flag_force (operands[0], GET_CODE (operands[1]),
+				   op1, op2, SFmode, 0, 1);
+  if (!rtx_equal_p (res, operands[0]))
+    emit_move_insn (operands[0], res);
+  DONE;
+})
+
 (define_expand "cstore<mode>4"
   [(set (reg:CC FLAGS_REG)
 	(compare:CC (match_operand:MODEF 2 "cmp_fp_expander_operand")
--- gcc/c-family/c-cppbuiltin.cc.jj	2022-10-13 08:41:04.718165419 +0200
+++ gcc/c-family/c-cppbuiltin.cc	2022-10-13 17:51:07.722665421 +0200
@@ -1260,6 +1260,13 @@  c_cpp_builtins (cpp_reader *pfile)
       builtin_define_float_constants (prefix, ggc_strdup (csuffix), "%s",
 				      csuffix, FLOATN_NX_TYPE_NODE (i));
     }
+  if (bfloat16_type_node)
+    {
+      if (c_dialect_cxx () && cxx_dialect > cxx20)
+	cpp_define (pfile, "__STDCPP_BFLOAT16_T__=1");
+      builtin_define_float_constants ("BFLT16", "BF16", "%s",
+				      "BF16", bfloat16_type_node);
+    }
 
   /* For float.h.  */
   if (targetm.decimal_float_supported_p ())
@@ -1370,6 +1377,12 @@  c_cpp_builtins (cpp_reader *pfile)
 	      suffix[0] = 'l';
 	      memcpy (float_h_prefix, "LDBL", 5);
 	    }
+	  else if (bfloat16_type_node
+		   && mode == TYPE_MODE (bfloat16_type_node))
+	    {
+	      memcpy (suffix, "bf16", 5);
+	      memcpy (float_h_prefix, "BFLT16", 7);
+	    }
 	  else
 	    {
 	      bool found_suffix = false;
@@ -1396,22 +1409,28 @@  c_cpp_builtins (cpp_reader *pfile)
 	  machine_mode float16_type_mode = (float16_type_node
 					    ? TYPE_MODE (float16_type_node)
 					    : VOIDmode);
+	  machine_mode bfloat16_type_mode = (bfloat16_type_node
+					     ? TYPE_MODE (bfloat16_type_node)
+					     : VOIDmode);
 	  switch (targetm.c.excess_precision
 		    (EXCESS_PRECISION_TYPE_IMPLICIT))
 	    {
 	    case FLT_EVAL_METHOD_UNPREDICTABLE:
 	    case FLT_EVAL_METHOD_PROMOTE_TO_LONG_DOUBLE:
 	      excess_precision = (mode == float16_type_mode
+				  || mode == bfloat16_type_mode
 				  || mode == TYPE_MODE (float_type_node)
 				  || mode == TYPE_MODE (double_type_node));
 	      break;
 
 	    case FLT_EVAL_METHOD_PROMOTE_TO_DOUBLE:
 	      excess_precision = (mode == float16_type_mode
+				  || mode == bfloat16_type_mode
 				  || mode == TYPE_MODE (float_type_node));
 	      break;
 	    case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT:
-	      excess_precision = mode == float16_type_mode;
+	      excess_precision = (mode == float16_type_mode
+				  || mode == bfloat16_type_mode);
 	      break;
 	    case FLT_EVAL_METHOD_PROMOTE_TO_FLOAT16:
 	      excess_precision = false;
--- gcc/c-family/c-lex.cc.jj	2022-10-13 16:21:52.548842666 +0200
+++ gcc/c-family/c-lex.cc	2022-10-13 16:59:51.778540099 +0200
@@ -1000,6 +1000,22 @@  interpret_float (const cpp_token *token,
 	  pedwarn (input_location, OPT_Wpedantic,
 		   "non-standard suffix on floating constant");
       }
+    else if ((flags & CPP_N_BFLOAT16) != 0)
+      {
+	type = bfloat16_type_node;
+	if (type == NULL_TREE)
+	  {
+	    error ("unsupported non-standard suffix on floating constant");
+	    return error_mark_node;
+	  }
+	if (!c_dialect_cxx ())
+	  pedwarn (input_location, OPT_Wpedantic,
+		   "non-standard suffix on floating constant");
+	else if (cxx_dialect < cxx23)
+	  pedwarn (input_location, OPT_Wpedantic,
+		   "%<bf16%> or %<BF16%> suffix on floating constant only "
+		   "available with %<-std=c++2b%> or %<-std=gnu++2b%>");
+      }
     else if ((flags & CPP_N_WIDTH) == CPP_N_LARGE)
       type = long_double_type_node;
     else if ((flags & CPP_N_WIDTH) == CPP_N_SMALL
--- gcc/c/c-typeck.cc.jj	2022-10-06 17:43:47.900502672 +0200
+++ gcc/c/c-typeck.cc	2022-10-13 16:57:09.226771266 +0200
@@ -3678,6 +3678,9 @@  convert_arguments (location_t loc, vec<l
 		promote_float_arg = false;
 		break;
 	      }
+	  /* Don't promote __bf16 either.  */
+	  if (TYPE_MAIN_VARIANT (valtype) == bfloat16_type_node)
+	    promote_float_arg = false;
 	}
 
       if (type != NULL_TREE)
--- gcc/cp/cp-tree.h.jj	2022-10-13 16:21:52.600841952 +0200
+++ gcc/cp/cp-tree.h	2022-10-13 16:57:09.241771060 +0200
@@ -8741,6 +8741,8 @@  extended_float_type_p (tree type)
   for (int i = 0; i < NUM_FLOATN_NX_TYPES; ++i)
     if (type == FLOATN_TYPE_NODE (i))
       return true;
+  if (type == bfloat16_type_node)
+    return true;
   return false;
 }
 
--- gcc/cp/typeck.cc.jj	2022-10-13 16:21:52.642841375 +0200
+++ gcc/cp/typeck.cc	2022-10-13 16:57:09.269770676 +0200
@@ -293,6 +293,10 @@  cp_compare_floating_point_conversion_ran
       if (mv2 == FLOATN_NX_TYPE_NODE (i))
 	extended2 = i + 1;
     }
+  if (mv1 == bfloat16_type_node)
+    extended1 = true;
+  if (mv2 == bfloat16_type_node)
+    extended2 = true;
   if (extended2 && !extended1)
     {
       int ret = cp_compare_floating_point_conversion_ranks (t2, t1);
@@ -390,7 +394,9 @@  cp_compare_floating_point_conversion_ran
   if (cnt > 1 && mv2 == long_double_type_node)
     return -2;
   /* Otherwise, they have equal rank, but extended types
-     (other than std::bfloat16_t) have higher subrank.  */
+     (other than std::bfloat16_t) have higher subrank.
+     std::bfloat16_t shouldn't have equal rank to any standard
+     floating point type.  */
   return 1;
 }
 
--- gcc/testsuite/lib/target-supports.exp.jj	2022-10-11 14:50:14.472773574 +0200
+++ gcc/testsuite/lib/target-supports.exp	2022-10-13 16:57:09.270770662 +0200
@@ -3416,6 +3416,22 @@  proc check_effective_target_base_quadflo
     return 1
 }
 
+# Return 1 if the target supports the __bf16 type, 0 otherwise.
+
+proc check_effective_target_bfloat16 {} {
+    return [check_no_compiler_messages_nocache bfloat16 object {
+	__bf16 foo (__bf16 x) { return x + x; }
+    } [add_options_for_bfloat16 ""]]
+}
+
+proc check_effective_target_bfloat16_runtime {} {
+    return [check_effective_target_bfloat16]
+}
+
+proc add_options_for_bfloat16 { flags } {
+    return "$flags"
+}
+
 # Return 1 if the target supports all four forms of fused multiply-add
 # (fma, fms, fnma, and fnms) for both float and double.
 
--- gcc/testsuite/gcc.dg/torture/bfloat16-basic.c.jj	2022-10-13 16:57:09.271770648 +0200
+++ gcc/testsuite/gcc.dg/torture/bfloat16-basic.c	2022-10-13 17:32:28.531884882 +0200
@@ -0,0 +1,11 @@ 
+/* Test __bf16.  */
+/* { dg-do run } */
+/* { dg-options "" } */
+/* { dg-add-options bfloat16 } */
+/* { dg-require-effective-target bfloat16_runtime } */
+
+#define TYPE __bf16
+#define CST(C) CONCAT (C, bf16)
+#define CSTU(C) CONCAT (C, BF16)
+
+#include "floatn-basic.h"
--- gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c.jj	2022-10-13 16:57:09.271770648 +0200
+++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin.c	2022-10-13 18:09:24.288913634 +0200
@@ -0,0 +1,47 @@ 
+/* Test __bf16 built-in functions.  */
+/* { dg-do run } */
+/* { dg-options "" } */
+/* { dg-add-options bfloat16 } */
+/* { dg-add-options ieee } */
+/* { dg-require-effective-target bfloat16_runtime } */
+
+extern void exit (int);
+extern void abort (void);
+
+extern __bf16 test_type;
+extern __typeof (__builtin_nansf16b ("")) test_type;
+
+volatile __bf16 inf_cst = (__bf16) __builtin_inff ();
+volatile __bf16 huge_val_cst = (__bf16) __builtin_huge_valf ();
+volatile __bf16 nan_cst = (__bf16) __builtin_nanf ("");
+volatile __bf16 nans_cst = __builtin_nansf16b ("");
+volatile __bf16 neg0 = -0.0bf16, neg1 = -1.0bf16, one = 1.0;
+
+int
+main (void)
+{
+  volatile __bf16 r;
+  if (!__builtin_isinf (inf_cst))
+    abort ();
+  if (!__builtin_isinf (huge_val_cst))
+    abort ();
+  if (inf_cst != huge_val_cst)
+    abort ();
+  if (!__builtin_isnan (nan_cst))
+    abort ();
+  if (!__builtin_isnan (nans_cst))
+    abort ();
+  r = __builtin_fabsf (neg1);
+  if (r != 1.0bf16)
+    abort ();
+  r = __builtin_copysignf (one, neg0);
+  if (r != neg1)
+    abort ();
+  r = __builtin_copysignf (inf_cst, neg1);
+  if (r != -huge_val_cst)
+    abort ();
+  r = __builtin_copysignf (-inf_cst, one);
+  if (r != huge_val_cst)
+    abort ();
+  exit (0);
+}
--- gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c.jj	2022-10-13 16:57:09.271770648 +0200
+++ gcc/testsuite/gcc.dg/torture/bfloat16-builtin-issignaling-1.c	2022-10-13 17:40:15.067555349 +0200
@@ -0,0 +1,21 @@ 
+/* Test __bf16 __builtin_issignaling.  */
+/* { dg-do run } */
+/* { dg-options "" } */
+/* { dg-add-options bfloat16 } */
+/* { dg-add-options ieee } */
+/* { dg-require-effective-target bfloat16_runtime } */
+/* { dg-additional-options "-fsignaling-nans" } */
+/* Workaround for PR57484 on ia32: */
+/* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
+
+#define CONCATX(X, Y) X ## Y
+#define CONCAT(X, Y) CONCATX (X, Y)
+
+#define TYPE __bf16
+#define CST(C) CONCAT (C, bf16)
+#define FN(F) CONCAT (F, f16b)
+#define NAN(x) ((__bf16) __builtin_nanf (x))
+#define INF ((__bf16) __builtin_inff ())
+#define EXT 0
+
+#include "builtin-issignaling-1.c"
--- gcc/testsuite/gcc.dg/torture/bfloat16-complex.c.jj	2022-10-13 16:57:09.271770648 +0200
+++ gcc/testsuite/gcc.dg/torture/bfloat16-complex.c	2022-10-13 17:46:43.259267724 +0200
@@ -0,0 +1,61 @@ 
+/* Test __bf16 complex arithmetic.  */
+/* { dg-do run } */
+/* { dg-options "" } */
+/* { dg-add-options bfloat16 } */
+/* { dg-require-effective-target bfloat16_runtime } */
+
+extern void exit (int);
+extern void abort (void);
+
+volatile __bf16 a = 1.0bf16;
+typedef _Complex float __cbf16 __attribute__((__mode__(__BC__)));
+volatile __cbf16 b = __builtin_complex (2.0bf16, 3.0bf16);
+volatile __cbf16 c = __builtin_complex (2.0bf16, 3.0bf16);
+volatile __cbf16 d = __builtin_complex (2.0bf16, 3.0bf16);
+
+__cbf16
+fn (__cbf16 arg)
+{
+  return arg / 4;
+}
+
+int
+main (void)
+{
+  volatile __cbf16 r;
+  if (b != c)
+    abort ();
+  if (b != d)
+    abort ();
+  r = a + b;
+  if (__real__ r != 3.0bf16 || __imag__ r != 3.0bf16)
+    abort ();
+  r += d;
+  if (__real__ r != 5.0bf16 || __imag__ r != 6.0bf16)
+    abort ();
+  r -= a;
+  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
+    abort ();
+  r /= (a + a);
+  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
+    abort ();
+  r *= (a + a);
+  if (__real__ r != 4.0bf16 || __imag__ r != 6.0bf16)
+    abort ();
+  r -= b;
+  if (__real__ r != 2.0bf16 || __imag__ r != 3.0bf16)
+    abort ();
+  r *= r;
+  if (__real__ r != -5.0bf16 || __imag__ r != 12.0bf16)
+    abort ();
+  /* Division may not be exact, so round result before comparing.  */
+  r /= b;
+  r += __builtin_complex (100.0bf16, 100.0bf16);
+  r -= __builtin_complex (100.0bf16, 100.0bf16);
+  if (r != b)
+    abort ();
+  r = fn (r);
+  if (__real__ r != 0.5bf16 || __imag__ r != 0.75bf16)
+    abort ();
+  exit (0);
+}
--- gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c.jj	2022-10-03 18:00:53.118734300 +0200
+++ gcc/testsuite/gcc.dg/torture/builtin-issignaling-1.c	2022-10-13 17:39:19.387313780 +0200
@@ -4,7 +4,7 @@ 
 /* Workaround for PR57484 on ia32: */
 /* { dg-additional-options "-msse2 -mfpmath=sse" { target { ia32 && sse2_runtime } } } */
 
-#ifndef EXT
+#if !defined(EXT) && !defined(TYPE)
 int
 f1 (void)
 {
@@ -41,31 +41,42 @@  f6 (long double x)
   return __builtin_issignaling (x);
 }
 #else
-#define CONCATX(X, Y) X ## Y
-#define CONCAT(X, Y) CONCATX (X, Y)
-#define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
-#define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
-
-#if EXT
-# define TYPE CONCAT3 (_Float, WIDTH, x)
-# define CST(C) CONCAT4 (C, f, WIDTH, x)
-# define FN(F) CONCAT4 (F, f, WIDTH, x)
-#else
-# define TYPE CONCAT (_Float, WIDTH)
-# define CST(C) CONCAT3 (C, f, WIDTH)
-# define FN(F) CONCAT3 (F, f, WIDTH)
+#ifndef TYPE
+# define CONCATX(X, Y) X ## Y
+# define CONCAT(X, Y) CONCATX (X, Y)
+# define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
+# define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
+
+# if EXT
+#  define TYPE CONCAT3 (_Float, WIDTH, x)
+#  define CST(C) CONCAT4 (C, f, WIDTH, x)
+#  define FN(F) CONCAT4 (F, f, WIDTH, x)
+# else
+#  define TYPE CONCAT (_Float, WIDTH)
+#  define CST(C) CONCAT3 (C, f, WIDTH)
+#  define FN(F) CONCAT3 (F, f, WIDTH)
+# endif
+#endif
+#ifndef NANS
+# define NANS(x) FN (__builtin_nans) (x)
+#endif
+#ifndef NAN
+# define NAN(x) FN (__builtin_nan) (x)
+#endif
+#ifndef INF
+# define INF FN (__builtin_inf) ()
 #endif
 
 int
 f1 (void)
 {
-  return __builtin_issignaling (FN (__builtin_nans) (""));
+  return __builtin_issignaling (NANS (""));
 }
 
 int
 f2 (void)
 {
-  return __builtin_issignaling (FN (__builtin_nan) (""));
+  return __builtin_issignaling (NAN (""));
 }
 
 int
@@ -118,10 +129,10 @@  main ()
   if (!f6 (z))
     __builtin_abort ();
 #else
-  if (f4 (w) || !f4 (FN (__builtin_nans) ("0x123")) || f4 (CST (42.0)) || f4 (FN (__builtin_nan) ("0x234"))
-      || f4 (FN (__builtin_inf) ()) || f4 (-FN (__builtin_inf) ()) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
+  if (f4 (w) || !f4 (NANS ("0x123")) || f4 (CST (42.0)) || f4 (NAN ("0x234"))
+      || f4 (INF) || f4 (-INF) || f4 (CST (-42.0)) || f4 (CST (-0.0)) || f4 (CST (0.0)))
     __builtin_abort ();
-  w = FN (__builtin_nans) ("");
+  w = NANS ("");
   asm volatile ("" : : : "memory");
   if (!f4 (w))
     __builtin_abort ();
--- gcc/testsuite/gcc.dg/torture/floatn-basic.h.jj	2022-10-03 18:00:53.118734300 +0200
+++ gcc/testsuite/gcc.dg/torture/floatn-basic.h	2022-10-13 16:57:09.285770456 +0200
@@ -9,14 +9,16 @@ 
 #define CONCAT3(X, Y, Z) CONCAT (CONCAT (X, Y), Z)
 #define CONCAT4(W, X, Y, Z) CONCAT (CONCAT (CONCAT (W, X), Y), Z)
 
-#if EXT
-# define TYPE CONCAT3 (_Float, WIDTH, x)
-# define CST(C) CONCAT4 (C, f, WIDTH, x)
-# define CSTU(C) CONCAT4 (C, F, WIDTH, x)
-#else
-# define TYPE CONCAT (_Float, WIDTH)
-# define CST(C) CONCAT3 (C, f, WIDTH)
-# define CSTU(C) CONCAT3 (C, F, WIDTH)
+#ifndef TYPE
+# if EXT
+#  define TYPE CONCAT3 (_Float, WIDTH, x)
+#  define CST(C) CONCAT4 (C, f, WIDTH, x)
+#  define CSTU(C) CONCAT4 (C, F, WIDTH, x)
+# else
+#  define TYPE CONCAT (_Float, WIDTH)
+#  define CST(C) CONCAT3 (C, f, WIDTH)
+#  define CSTU(C) CONCAT3 (C, F, WIDTH)
+# endif
 #endif
 
 extern void exit (int);
--- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c.jj	2022-10-03 18:00:53.137734043 +0200
+++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_2.c	2022-10-13 16:57:09.306770168 +0200
@@ -45,19 +45,19 @@  __m256bf16 footest (__m256bf16 vector0)
   __m256bf16 vector2_1 = {};
   __m256bf16 vector2_2 = { glob_bfloat };
   __m256bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
-  __m256bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error "invalid conversion to type '__bf16'" } */
-
-  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m256h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m256i initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
-  __v16hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
+  __m256bf16 vector2_4 = { 0 };
+  __m256bf16 vector2_5 = { 0.1 };
+  __m256bf16 vector2_6 = { is_a_float16 };
+  __m256bf16 vector2_7 = { is_a_float };
+  __m256bf16 vector2_8 = { is_an_int };
+  __m256bf16 vector2_9 = { is_a_short_int };
+  __m256bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
+
+  __v8si initi_2_1 = { glob_bfloat };
+  __m256 initi_2_2 = { glob_bfloat };
+  __m256h initi_2_3 = { glob_bfloat };
+  __m256i initi_2_5 = { glob_bfloat };
+  __v16hi initi_2_6 = { glob_bfloat };
 
   /* Assignments to/from vectors.  */
 
@@ -79,25 +79,25 @@  __m256bf16 footest (__m256bf16 vector0)
   /* Assignments to/from elements.  */
 
   vector2_3[0] = glob_bfloat;
-  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
+  vector2_3[0] = is_an_int;
+  vector2_3[0] = is_a_short_int;
+  vector2_3[0] = is_a_float;
+  vector2_3[0] = is_a_float16;
+  vector2_3[0] = 0;
+  vector2_3[0] = 0.1;
 
   glob_bfloat = vector2_3[0];
-  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
+  is_an_int = vector2_3[0];
+  is_a_short_int = vector2_3[0];
+  is_a_float = vector2_3[0];
+  is_a_float16 = vector2_3[0];
 
   /* Compound literals.  */
 
   (__m256bf16) {};
 
-  (__m256bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__m256bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
+  (__m256bf16) { 0 };
+  (__m256bf16) { 0.1 };
   (__m256bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
   (__m256bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
   (__m256bf16) { is_a_long_int_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256i'} } */
@@ -176,16 +176,16 @@  __m256bf16 footest (__m256bf16 vector0)
   bfloat_ptr = &bfloat_ptr3[1];
 
   /* Simple comparison.  */
-  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  vector0 > glob_bfloat_vec;
+  glob_bfloat_vec == vector0;
+  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
+  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
+  vector0 > 0;
+  0 == vector0;
+  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
+  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
+  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
+  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
 
   /* Pointer comparison.  */
 
@@ -224,24 +224,24 @@  __m256bf16 footest (__m256bf16 vector0)
 
   /* Unary operators.  */
 
-  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  +vector0;
+  -vector0;
+  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
+  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
   *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
-  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
+  __real vector0; /* { dg-error {wrong type argument to __real} } */
+  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
+  ++vector0;
+  --vector0;
+  vector0++;
+  vector0--;
 
   /* Binary arithmetic operations.  */
 
-  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
+  vector0 = glob_bfloat_vec + *bfloat_ptr;
+  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m256bf16'} } */
+  vector0 = glob_bfloat_vec + 0;
+  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
 
   return vector0;
 }
--- gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c.jj	2022-10-03 18:00:53.136734057 +0200
+++ gcc/testsuite/gcc.target/i386/sse2-bfloat16-scalar-typecheck.c	2022-10-13 16:57:09.327769880 +0200
@@ -12,8 +12,8 @@  double is_a_double;
 
 float *float_ptr;
 
-__bf16 foo1 (void) { return (__bf16) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
-__bf16 foo2 (void) { return (__bf16) (short) 0x1234; } /* { dg-error {invalid conversion to type '__bf16'} } */
+__bf16 foo1 (void) { return (__bf16) 0x1234; }
+__bf16 foo2 (void) { return (__bf16) (short) 0x1234; }
 
 __bf16 footest (__bf16 scalar0)
 {
@@ -22,87 +22,87 @@  __bf16 footest (__bf16 scalar0)
 
   __bf16 scalar1_1;
   __bf16 scalar1_2 = glob_bfloat;
-  __bf16 scalar1_3 = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_4 = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_5 = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_6 = is_an_int;  /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_7 = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_8 = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar1_9 = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-
-  int initi_1_1 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  float initi_1_2 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  _Float16 initi_1_3 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  short initi_1_4 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  double initi_1_5 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
+  __bf16 scalar1_3 = 0;
+  __bf16 scalar1_4 = 0.1;
+  __bf16 scalar1_5 = is_a_float;
+  __bf16 scalar1_6 = is_an_int;
+  __bf16 scalar1_7 = is_a_float16;
+  __bf16 scalar1_8 = is_a_double;
+  __bf16 scalar1_9 = is_a_short_int;
+
+  int initi_1_1 = glob_bfloat;
+  float initi_1_2 = glob_bfloat;
+  _Float16 initi_1_3 = glob_bfloat;
+  short initi_1_4 = glob_bfloat;
+  double initi_1_5 = glob_bfloat;
 
   __bf16 scalar2_1 = {};
   __bf16 scalar2_2 = { glob_bfloat };
-  __bf16 scalar2_3 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_4 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_5 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_6 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_7 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_8 = { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 scalar2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-
-  int initi_2_1 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  float initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  _Float16 initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  short initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  double initi_2_5 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
+  __bf16 scalar2_3 = { 0 };
+  __bf16 scalar2_4 = { 0.1 };
+  __bf16 scalar2_5 = { is_a_float };
+  __bf16 scalar2_6 = { is_an_int };
+  __bf16 scalar2_7 = { is_a_float16 };
+  __bf16 scalar2_8 = { is_a_double };
+  __bf16 scalar2_9 = { is_a_short_int };
+
+  int initi_2_1 = { glob_bfloat };
+  float initi_2_2 = { glob_bfloat };
+  _Float16 initi_2_3 = { glob_bfloat };
+  short initi_2_4 = { glob_bfloat };
+  double initi_2_5 = { glob_bfloat };
 
   /* Assignments.  */
 
   glob_bfloat = glob_bfloat;
-  glob_bfloat = 0;   /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
-  glob_bfloat = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-
-  is_an_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float16 = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_double = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_short_int = glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
+  glob_bfloat = 0;
+  glob_bfloat = 0.1;
+  glob_bfloat = is_a_float;
+  glob_bfloat = is_an_int;
+  glob_bfloat = is_a_float16;
+  glob_bfloat = is_a_double;
+  glob_bfloat = is_a_short_int;
+
+  is_an_int = glob_bfloat;
+  is_a_float = glob_bfloat;
+  is_a_float16 = glob_bfloat;
+  is_a_double = glob_bfloat;
+  is_a_short_int = glob_bfloat;
 
   /* Casting.  */
 
   (void) glob_bfloat;
   (__bf16) glob_bfloat;
 
-  (int) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (float) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (_Float16) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (double) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (short) glob_bfloat; /* { dg-error {invalid conversion from type '__bf16'} } */
-
-  (__bf16) is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) is_a_double; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
+  (int) glob_bfloat;
+  (float) glob_bfloat;
+  (_Float16) glob_bfloat;
+  (double) glob_bfloat;
+  (short) glob_bfloat;
+
+  (__bf16) is_an_int;
+  (__bf16) is_a_float;
+  (__bf16) is_a_float16;
+  (__bf16) is_a_double;
+  (__bf16) is_a_short_int;
 
   /* Compound literals.  */
 
   (__bf16) {};
   (__bf16) { glob_bfloat };
-  (__bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { is_a_double }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__bf16) { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-
-  (int) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (float) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (_Float16) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (double) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  (short) { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
+  (__bf16) { 0 };
+  (__bf16) { 0.1 };
+  (__bf16) { is_a_float };
+  (__bf16) { is_an_int };
+  (__bf16) { is_a_float16 };
+  (__bf16) { is_a_double };
+  (__bf16) { is_a_short_int };
+
+  (int) { glob_bfloat };
+  (float) { glob_bfloat };
+  (_Float16) { glob_bfloat };
+  (double) { glob_bfloat };
+  (short) { glob_bfloat };
 
   /* Arrays and Structs.  */
 
@@ -145,16 +145,16 @@  __bf16 footest (__bf16 scalar0)
   bfloat_ptr = &bfloat_ptr3[1];
 
   /* Simple comparison.  */
-  scalar0 > glob_bfloat; /* { dg-error {operation not permitted on type '__bf16'} } */
-  glob_bfloat == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 > is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_a_float == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0.1 == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 > is_an_int; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_an_int == scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  scalar0 > glob_bfloat;
+  glob_bfloat == scalar0;
+  scalar0 > is_a_float;
+  is_a_float == scalar0;
+  scalar0 > 0;
+  0 == scalar0;
+  scalar0 > 0.1;
+  0.1 == scalar0;
+  scalar0 > is_an_int;
+  is_an_int == scalar0;
 
   /* Pointer comparison.  */
 
@@ -174,41 +174,41 @@  __bf16 footest (__bf16 scalar0)
   /* Conditional expressions.  */
 
   0 ? scalar0 : scalar0;
-  0 ? scalar0 : is_a_float; /* { dg-error {invalid conversion from type '__bf16'} } */
-  0 ? is_a_float : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
-  0 ? scalar0 : 0; /* { dg-error {invalid conversion to type '__bf16'} } */
-  0 ? 0 : scalar0; /* { dg-error {invalid conversion to type '__bf16'} } */
-  0 ? 0.1 : scalar0; /* { dg-error {invalid conversion from type '__bf16'} } */
-  0 ? scalar0 : 0.1; /* { dg-error {invalid conversion from type '__bf16'} } */
+  0 ? scalar0 : is_a_float;
+  0 ? is_a_float : scalar0;
+  0 ? scalar0 : 0;
+  0 ? 0 : scalar0;
+  0 ? 0.1 : scalar0;
+  0 ? scalar0 : 0.1;
   0 ? bfloat_ptr : bfloat_ptr2;
   0 ? bfloat_ptr : float_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
   0 ? float_ptr : bfloat_ptr; /* { dg-warning {pointer type mismatch in conditional expression} } */
 
-  scalar0 ? scalar0 : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 ? is_a_float : scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 ? scalar0 : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 ? is_a_float : is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
+  scalar0 ? scalar0 : scalar0;
+  scalar0 ? is_a_float : scalar0;
+  scalar0 ? scalar0 : is_a_float;
+  scalar0 ? is_a_float : is_a_float;
 
   /* Unary operators.  */
 
-  +scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  -scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ~scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  !scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  +scalar0;
+  -scalar0;
+  ~scalar0; /* { dg-error {wrong type argument to bit-complement} } */
+  !scalar0;
   *scalar0; /* { dg-error {invalid type argument of unary '\*'} } */
-  __real scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  __imag scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ++scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  --scalar0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0++; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0--; /* { dg-error {operation not permitted on type '__bf16'} } */
+  __real scalar0;
+  __imag scalar0;
+  ++scalar0;
+  --scalar0;
+  scalar0++;
+  scalar0--;
 
   /* Binary arithmetic operations.  */
 
-  scalar0 = glob_bfloat + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 = glob_bfloat + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 = glob_bfloat + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  scalar0 = glob_bfloat + is_a_float; /* { dg-error {operation not permitted on type '__bf16'} } */
+  scalar0 = glob_bfloat + *bfloat_ptr;
+  scalar0 = glob_bfloat + 0.1;
+  scalar0 = glob_bfloat + 0;
+  scalar0 = glob_bfloat + is_a_float;
 
   return scalar0;
 }
--- gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c.jj	2022-10-03 18:00:53.136734057 +0200
+++ gcc/testsuite/gcc.target/i386/vect-bfloat16-typecheck_1.c	2022-10-13 16:57:09.344769646 +0200
@@ -48,20 +48,20 @@  __m128bf16 footest (__m128bf16 vector0)
   __m128bf16 vector2_1 = {};
   __m128bf16 vector2_2 = { glob_bfloat };
   __m128bf16 vector2_3 = { glob_bfloat, glob_bfloat, glob_bfloat, glob_bfloat };
-  __m128bf16 vector2_4 = { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_5 = { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_6 = { is_a_float16 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_7 = { is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_8 = { is_an_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_9 = { is_a_short_int }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float }; /* { dg-error {invalid conversion to type '__bf16'} } */
-
-  __v8si initi_2_1 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m256 initi_2_2 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m128h initi_2_3 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  __m128 initi_2_4 = { glob_bfloat }; /* { dg-error {invalid conversion from type '__bf16'} } */
-  __v4si initi_2_5 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
-  __v4hi initi_2_6 = { glob_bfloat };   /* { dg-error {invalid conversion from type '__bf16'} } */
+  __m128bf16 vector2_4 = { 0 };
+  __m128bf16 vector2_5 = { 0.1 };
+  __m128bf16 vector2_6 = { is_a_float16 };
+  __m128bf16 vector2_7 = { is_a_float };
+  __m128bf16 vector2_8 = { is_an_int };
+  __m128bf16 vector2_9 = { is_a_short_int };
+  __m128bf16 vector2_10 = { 0.0, 0, is_a_short_int, is_a_float };
+
+  __v8si initi_2_1 = { glob_bfloat };
+  __m256 initi_2_2 = { glob_bfloat };
+  __m128h initi_2_3 = { glob_bfloat };
+  __m128 initi_2_4 = { glob_bfloat };
+  __v4si initi_2_5 = { glob_bfloat };
+  __v4hi initi_2_6 = { glob_bfloat };
 
   /* Assignments to/from vectors.  */
 
@@ -85,25 +85,25 @@  __m128bf16 footest (__m128bf16 vector0)
   /* Assignments to/from elements.  */
 
   vector2_3[0] = glob_bfloat;
-  vector2_3[0] = is_an_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_short_int; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_float; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = is_a_float16; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = 0; /* { dg-error {invalid conversion to type '__bf16'} } */
-  vector2_3[0] = 0.1; /* { dg-error {invalid conversion to type '__bf16'} } */
+  vector2_3[0] = is_an_int;
+  vector2_3[0] = is_a_short_int;
+  vector2_3[0] = is_a_float;
+  vector2_3[0] = is_a_float16;
+  vector2_3[0] = 0;
+  vector2_3[0] = 0.1;
 
   glob_bfloat = vector2_3[0];
-  is_an_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_short_int = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
-  is_a_float16 = vector2_3[0]; /* { dg-error {invalid conversion from type '__bf16'} } */
+  is_an_int = vector2_3[0];
+  is_a_short_int = vector2_3[0];
+  is_a_float = vector2_3[0];
+  is_a_float16 = vector2_3[0];
 
   /* Compound literals.  */
 
   (__m128bf16) {};
 
-  (__m128bf16) { 0 }; /* { dg-error {invalid conversion to type '__bf16'} } */
-  (__m128bf16) { 0.1 }; /* { dg-error {invalid conversion to type '__bf16'} } */
+  (__m128bf16) { 0 };
+  (__m128bf16) { 0.1 };
   (__m128bf16) { is_a_float_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m256'} } */
   (__m128bf16) { is_an_int_vec }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__v8si'} } */
   (__m128bf16) { is_a_float_pair }; /* { dg-error {incompatible types when initializing type '__bf16' using type '__m128'} } */
@@ -186,16 +186,16 @@  __m128bf16 footest (__m128bf16 vector0)
   bfloat_ptr = &bfloat_ptr3[1];
 
   /* Simple comparison.  */
-  vector0 > glob_bfloat_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  glob_bfloat_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_a_float_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  0.1 == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 > is_an_int_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
-  is_an_int_vec == vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  vector0 > glob_bfloat_vec;
+  glob_bfloat_vec == vector0;
+  vector0 > is_a_float_vec; /* { dg-error {comparing vectors with different element types} } */
+  is_a_float_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
+  vector0 > 0;
+  0 == vector0;
+  vector0 > 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
+  0.1 == vector0; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
+  vector0 > is_an_int_vec; /* { dg-error {comparing vectors with different element types} } */
+  is_an_int_vec == vector0; /* { dg-error {comparing vectors with different element types} } */
 
   /* Pointer comparison.  */
 
@@ -234,24 +234,24 @@  __m128bf16 footest (__m128bf16 vector0)
 
   /* Unary operators.  */
 
-  +vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  -vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ~vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  !vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
+  +vector0;
+  -vector0;
+  ~vector0; /* { dg-error {wrong type argument to bit-complement} } */
+  !vector0; /* { dg-error {wrong type argument to unary exclamation mark} } */
   *vector0; /* { dg-error {invalid type argument of unary '\*'} } */
-  __real vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  __imag vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  ++vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  --vector0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0++; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0--; /* { dg-error {operation not permitted on type '__bf16'} } */
+  __real vector0; /* { dg-error {wrong type argument to __real} } */
+  __imag vector0; /* { dg-error {wrong type argument to __imag} } */
+  ++vector0;
+  --vector0;
+  vector0++;
+  vector0--;
 
   /* Binary arithmetic operations.  */
 
-  vector0 = glob_bfloat_vec + *bfloat_ptr; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + 0; /* { dg-error {operation not permitted on type '__bf16'} } */
-  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {operation not permitted on type '__bf16'} } */
+  vector0 = glob_bfloat_vec + *bfloat_ptr;
+  vector0 = glob_bfloat_vec + 0.1; /* { dg-error {conversion of scalar 'double' to vector '__m128bf16'} } */
+  vector0 = glob_bfloat_vec + 0;
+  vector0 = glob_bfloat_vec + is_a_float_vec; /* { dg-error {invalid operands to binary \+} } */
 
   return vector0;
 }
--- gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C.jj	2022-10-03 18:00:53.109734421 +0200
+++ gcc/testsuite/g++.target/i386/bfloat_cpp_typecheck.C	2022-10-13 16:57:09.362769399 +0200
@@ -5,6 +5,6 @@  void foo (void)
 {
   __bf16 (); /* { dg-bogus {invalid conversion to type '__bf16'} } */
   __bf16 a = __bf16(); /* { dg-bogus {invalid conversion to type '__bf16'} } */
-  __bf16 (0x1234); /* { dg-error {invalid conversion to type '__bf16'} } */
-  __bf16 (0.1); /* { dg-error {invalid conversion to type '__bf16'} } */
+  __bf16 (0x1234); /* { dg-bogus {invalid conversion to type '__bf16'} } */
+  __bf16 (0.1); /* { dg-bogus {invalid conversion to type '__bf16'} } */
 }
--- libcpp/include/cpplib.h.jj	2022-10-03 18:00:53.251732506 +0200
+++ libcpp/include/cpplib.h	2022-10-13 16:57:09.384769097 +0200
@@ -1275,6 +1275,7 @@  struct cpp_num
 #define CPP_N_USERDEF	0x1000000 /* C++11 user-defined literal.  */
 
 #define CPP_N_SIZE_T	0x2000000 /* C++23 size_t literal.  */
+#define CPP_N_BFLOAT16	0x4000000 /* std::bfloat16_t type.  */
 
 #define CPP_N_WIDTH_FLOATN_NX	0xF0000000 /* _FloatN / _FloatNx value
 					      of N, divided by 16.  */
--- libcpp/expr.cc.jj	2022-10-03 18:00:53.221732910 +0200
+++ libcpp/expr.cc	2022-10-13 16:58:01.360055690 +0200
@@ -91,10 +91,10 @@  interpret_float_suffix (cpp_reader *pfil
   size_t orig_len = len;
   const uchar *orig_s = s;
   size_t flags;
-  size_t f, d, l, w, q, i, fn, fnx, fn_bits;
+  size_t f, d, l, w, q, i, fn, fnx, fn_bits, bf16;
 
   flags = 0;
-  f = d = l = w = q = i = fn = fnx = fn_bits = 0;
+  f = d = l = w = q = i = fn = fnx = fn_bits = bf16 = 0;
 
   /* The following decimal float suffixes, from TR 24732:2009, TS
      18661-2:2015 and C2X, are supported:
@@ -131,7 +131,8 @@  interpret_float_suffix (cpp_reader *pfil
      w, W - machine-specific type such as __float80 (GNU extension).
      q, Q - machine-specific type such as __float128 (GNU extension).
      fN, FN - _FloatN (TS 18661-3:2015).
-     fNx, FNx - _FloatNx (TS 18661-3:2015).  */
+     fNx, FNx - _FloatNx (TS 18661-3:2015).
+     bf16, BF16 - std::bfloat16_t (ISO C++23).  */
 
   /* Process decimal float suffixes, which are two letters starting
      with d or D.  Order and case are significant.  */
@@ -239,6 +240,19 @@  interpret_float_suffix (cpp_reader *pfil
 		fn++;
 	    }
 	  break;
+	case 'b': case 'B':
+	  if (len > 2
+	      /* Except for bf16 / BF16 where case is significant.  */
+	      && s[1] == (s[0] == 'b' ? 'f' : 'F')
+	      && s[2] == '1'
+	      && s[3] == '6')
+	    {
+	      bf16++;
+	      len -= 3;
+	      s += 3;
+	      break;
+	    }
+	  return 0;
 	case 'd': case 'D': d++; break;
 	case 'l': case 'L': l++; break;
 	case 'w': case 'W': w++; break;
@@ -257,7 +271,7 @@  interpret_float_suffix (cpp_reader *pfil
      of N larger than can be represented in the return value.  The
      caller is responsible for rejecting _FloatN suffixes where
      _FloatN is not supported on the chosen target.  */
-  if (f + d + l + w + q + fn + fnx > 1 || i > 1)
+  if (f + d + l + w + q + fn + fnx + bf16 > 1 || i > 1)
     return 0;
   if (fn_bits > CPP_FLOATN_MAX)
     return 0;
@@ -295,6 +309,7 @@  interpret_float_suffix (cpp_reader *pfil
 	     q ? CPP_N_MD_Q :
 	     fn ? CPP_N_FLOATN | (fn_bits << CPP_FLOATN_SHIFT) :
 	     fnx ? CPP_N_FLOATNX | (fn_bits << CPP_FLOATN_SHIFT) :
+	     bf16 ? CPP_N_BFLOAT16 :
 	     CPP_N_DEFAULT));
 }
 
--- libgcc/config/i386/t-softfp.jj	2022-10-03 18:00:53.314731656 +0200
+++ libgcc/config/i386/t-softfp	2022-10-13 16:57:09.426768521 +0200
@@ -6,8 +6,9 @@  LIB2FUNCS_EXCLUDE += $(libgcc2-hf-functi
 libgcc2-hf-extras = $(addsuffix .c, $(libgcc2-hf-functions))
 LIB2ADD += $(addprefix $(srcdir)/config/i386/, $(libgcc2-hf-extras))
 
-softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf
-softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf
+softfp_extensions := hfsf hfdf hftf hfxf sfdf sftf dftf xftf bfsf
+softfp_truncations := tfhf xfhf dfhf sfhf tfsf dfsf tfdf tfxf \
+		      tfbf xfbf dfbf sfbf hfbf
 
 softfp_extras += eqhf2
 
@@ -15,11 +16,17 @@  CFLAGS-extendhfsf2.c += -msse2
 CFLAGS-extendhfdf2.c += -msse2
 CFLAGS-extendhftf2.c += -msse2
 CFLAGS-extendhfxf2.c += -msse2
+CFLAGS-extendbfsf2.c += -msse2
 
 CFLAGS-truncsfhf2.c += -msse2
 CFLAGS-truncdfhf2.c += -msse2
 CFLAGS-truncxfhf2.c += -msse2
 CFLAGS-trunctfhf2.c += -msse2
+CFLAGS-truncsfbf2.c += -msse2
+CFLAGS-truncdfbf2.c += -msse2
+CFLAGS-truncxfbf2.c += -msse2
+CFLAGS-trunctfbf2.c += -msse2
+CFLAGS-trunchfbf2.c += -msse2
 
 CFLAGS-eqhf2.c += -msse2
 CFLAGS-_divhc3.c += -msse2
--- libgcc/config/i386/libgcc-glibc.ver.jj	2022-10-03 18:00:53.313731670 +0200
+++ libgcc/config/i386/libgcc-glibc.ver	2022-10-13 16:57:09.438768356 +0200
@@ -214,3 +214,13 @@  GCC_12.0.0 {
   __trunctfhf2
   __truncxfhf2
 }
+
+%inherit GCC_13.0.0 GCC_12.0.0
+GCC_13.0.0 {
+  __extendbfsf2
+  __truncdfbf2
+  __truncsfbf2
+  __trunctfbf2
+  __truncxfbf2
+  __trunchfbf2
+}
--- libgcc/config/i386/sfp-machine.h.jj	2022-10-03 18:00:53.313731670 +0200
+++ libgcc/config/i386/sfp-machine.h	2022-10-13 16:57:09.441768315 +0200
@@ -18,6 +18,7 @@  typedef int __gcc_CMPtype __attribute__
 #define _FP_QNANNEGATEDP 0
 
 #define _FP_NANSIGN_H		1
+#define _FP_NANSIGN_B		1
 #define _FP_NANSIGN_S		1
 #define _FP_NANSIGN_D		1
 #define _FP_NANSIGN_E		1
--- libgcc/config/i386/64/sfp-machine.h.jj	2022-10-03 18:00:53.290731980 +0200
+++ libgcc/config/i386/64/sfp-machine.h	2022-10-13 16:57:09.451768178 +0200
@@ -14,6 +14,7 @@  typedef unsigned int UTItype __attribute
 #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_2_udiv(Q,R,X,Y)
 
 #define _FP_NANFRAC_H		_FP_QNANBIT_H
+#define _FP_NANFRAC_B		_FP_QNANBIT_B
 #define _FP_NANFRAC_S		_FP_QNANBIT_S
 #define _FP_NANFRAC_D		_FP_QNANBIT_D
 #define _FP_NANFRAC_E		_FP_QNANBIT_E, 0
--- libgcc/config/i386/32/sfp-machine.h.jj	2022-10-03 18:00:53.290731980 +0200
+++ libgcc/config/i386/32/sfp-machine.h	2022-10-13 16:57:09.459768068 +0200
@@ -87,6 +87,7 @@ 
 #define _FP_DIV_MEAT_Q(R,X,Y)   _FP_DIV_MEAT_4_udiv(Q,R,X,Y)
 
 #define _FP_NANFRAC_H		_FP_QNANBIT_H
+#define _FP_NANFRAC_B		_FP_QNANBIT_B
 #define _FP_NANFRAC_S		_FP_QNANBIT_S
 #define _FP_NANFRAC_D		_FP_QNANBIT_D, 0
 /* Even if XFmode is 12byte,  we have to pad it to
--- libgcc/soft-fp/brain.h.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/brain.h	2022-10-13 16:57:09.459768068 +0200
@@ -0,0 +1,172 @@ 
+/* Software floating-point emulation.
+   Definitions for Brain Floating Point format (bfloat16).
+   Copyright (C) 1997-2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#ifndef SOFT_FP_BRAIN_H
+#define SOFT_FP_BRAIN_H	1
+
+#if _FP_W_TYPE_SIZE < 32
+# error "Here's a nickel kid.  Go buy yourself a real computer."
+#endif
+
+#define _FP_FRACTBITS_B		(_FP_W_TYPE_SIZE)
+
+#define _FP_FRACTBITS_DW_B	(_FP_W_TYPE_SIZE)
+
+#define _FP_FRACBITS_B		8
+#define _FP_FRACXBITS_B		(_FP_FRACTBITS_B - _FP_FRACBITS_B)
+#define _FP_WFRACBITS_B		(_FP_WORKBITS + _FP_FRACBITS_B)
+#define _FP_WFRACXBITS_B	(_FP_FRACTBITS_B - _FP_WFRACBITS_B)
+#define _FP_EXPBITS_B		8
+#define _FP_EXPBIAS_B		127
+#define _FP_EXPMAX_B		255
+
+#define _FP_QNANBIT_B		((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2))
+#define _FP_QNANBIT_SH_B	((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-2+_FP_WORKBITS))
+#define _FP_IMPLBIT_B		((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1))
+#define _FP_IMPLBIT_SH_B	((_FP_W_TYPE) 1 << (_FP_FRACBITS_B-1+_FP_WORKBITS))
+#define _FP_OVERFLOW_B		((_FP_W_TYPE) 1 << (_FP_WFRACBITS_B))
+
+#define _FP_WFRACBITS_DW_B	(2 * _FP_WFRACBITS_B)
+#define _FP_WFRACXBITS_DW_B	(_FP_FRACTBITS_DW_B - _FP_WFRACBITS_DW_B)
+#define _FP_HIGHBIT_DW_B	\
+  ((_FP_W_TYPE) 1 << (_FP_WFRACBITS_DW_B - 1) % _FP_W_TYPE_SIZE)
+
+/* The implementation of _FP_MUL_MEAT_B and _FP_DIV_MEAT_B should be
+   chosen by the target machine.  */
+
+typedef float BFtype __attribute__ ((mode (BF)));
+
+union _FP_UNION_B
+{
+  BFtype flt;
+  struct _FP_STRUCT_LAYOUT
+  {
+#if __BYTE_ORDER == __BIG_ENDIAN
+    unsigned sign : 1;
+    unsigned exp  : _FP_EXPBITS_B;
+    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
+#else
+    unsigned frac : _FP_FRACBITS_B - (_FP_IMPLBIT_B != 0);
+    unsigned exp  : _FP_EXPBITS_B;
+    unsigned sign : 1;
+#endif
+  } bits;
+};
+
+#define FP_DECL_B(X)		_FP_DECL (1, X)
+#define FP_UNPACK_RAW_B(X, val)	_FP_UNPACK_RAW_1 (B, X, (val))
+#define FP_UNPACK_RAW_BP(X, val)	_FP_UNPACK_RAW_1_P (B, X, (val))
+#define FP_PACK_RAW_B(val, X)	_FP_PACK_RAW_1 (B, (val), X)
+#define FP_PACK_RAW_BP(val, X)			\
+  do						\
+    {						\
+      if (!FP_INHIBIT_RESULTS)			\
+	_FP_PACK_RAW_1_P (B, (val), X);		\
+    }						\
+  while (0)
+
+#define FP_UNPACK_B(X, val)			\
+  do						\
+    {						\
+      _FP_UNPACK_RAW_1 (B, X, (val));		\
+      _FP_UNPACK_CANONICAL (B, 1, X);		\
+    }						\
+  while (0)
+
+#define FP_UNPACK_BP(X, val)			\
+  do						\
+    {						\
+      _FP_UNPACK_RAW_1_P (B, X, (val));		\
+      _FP_UNPACK_CANONICAL (B, 1, X);		\
+    }						\
+  while (0)
+
+#define FP_UNPACK_SEMIRAW_B(X, val)		\
+  do						\
+    {						\
+      _FP_UNPACK_RAW_1 (B, X, (val));		\
+      _FP_UNPACK_SEMIRAW (B, 1, X);		\
+    }						\
+  while (0)
+
+#define FP_UNPACK_SEMIRAW_BP(X, val)		\
+  do						\
+    {						\
+      _FP_UNPACK_RAW_1_P (B, X, (val));		\
+      _FP_UNPACK_SEMIRAW (B, 1, X);		\
+    }						\
+  while (0)
+
+#define FP_PACK_B(val, X)			\
+  do						\
+    {						\
+      _FP_PACK_CANONICAL (B, 1, X);		\
+      _FP_PACK_RAW_1 (B, (val), X);		\
+    }						\
+  while (0)
+
+#define FP_PACK_BP(val, X)			\
+  do						\
+    {						\
+      _FP_PACK_CANONICAL (B, 1, X);		\
+      if (!FP_INHIBIT_RESULTS)			\
+	_FP_PACK_RAW_1_P (B, (val), X);		\
+    }						\
+  while (0)
+
+#define FP_PACK_SEMIRAW_B(val, X)		\
+  do						\
+    {						\
+      _FP_PACK_SEMIRAW (B, 1, X);		\
+      _FP_PACK_RAW_1 (B, (val), X);		\
+    }						\
+  while (0)
+
+#define FP_PACK_SEMIRAW_BP(val, X)		\
+  do						\
+    {						\
+      _FP_PACK_SEMIRAW (B, 1, X);		\
+      if (!FP_INHIBIT_RESULTS)			\
+	_FP_PACK_RAW_1_P (B, (val), X);		\
+    }						\
+  while (0)
+
+#define FP_TO_INT_B(r, X, rsz, rsg)	_FP_TO_INT (B, 1, (r), X, (rsz), (rsg))
+#define FP_TO_INT_ROUND_B(r, X, rsz, rsg)	\
+  _FP_TO_INT_ROUND (B, 1, (r), X, (rsz), (rsg))
+#define FP_FROM_INT_B(X, r, rs, rt)	_FP_FROM_INT (B, 1, X, (r), (rs), rt)
+
+/* BFmode arithmetic is not implemented.  */
+
+#define _FP_FRAC_HIGH_B(X)	_FP_FRAC_HIGH_1 (X)
+#define _FP_FRAC_HIGH_RAW_B(X)	_FP_FRAC_HIGH_1 (X)
+#define _FP_FRAC_HIGH_DW_B(X)	_FP_FRAC_HIGH_1 (X)
+
+#define FP_CMP_EQ_B(r, X, Y, ex)       _FP_CMP_EQ (B, 1, (r), X, Y, (ex))
+
+#endif /* !SOFT_FP_BRAIN_H */
--- libgcc/soft-fp/truncsfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/truncsfbf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,48 @@ 
+/* Software floating-point emulation.
+   Truncate IEEE single into bfloat16.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+#include "single.h"
+
+BFtype
+__truncsfbf2 (SFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_S (A);
+  FP_DECL_B (R);
+  BFtype r;
+
+  FP_INIT_ROUNDMODE;
+  FP_UNPACK_SEMIRAW_S (A, a);
+  FP_TRUNC (B, S, 1, 1, R, A);
+  FP_PACK_SEMIRAW_B (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/truncdfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/truncdfbf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,52 @@ 
+/* Software floating-point emulation.
+   Truncate IEEE double into bfloat16.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+#include "double.h"
+
+BFtype
+__truncdfbf2 (DFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_D (A);
+  FP_DECL_B (R);
+  BFtype r;
+
+  FP_INIT_ROUNDMODE;
+  FP_UNPACK_SEMIRAW_D (A, a);
+#if _FP_W_TYPE_SIZE < _FP_FRACBITS_D
+  FP_TRUNC (B, D, 1, 2, R, A);
+#else
+  FP_TRUNC (B, D, 1, 1, R, A);
+#endif
+  FP_PACK_SEMIRAW_B (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/truncxfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/truncxfbf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,52 @@ 
+/* Software floating-point emulation.
+   Truncate IEEE extended into bfloat16.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+#include "extended.h"
+
+BFtype
+__truncxfbf2 (XFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_E (A);
+  FP_DECL_B (R);
+  BFtype r;
+
+  FP_INIT_ROUNDMODE;
+  FP_UNPACK_SEMIRAW_E (A, a);
+#if _FP_W_TYPE_SIZE < 64
+  FP_TRUNC (B, E, 1, 4, R, A);
+#else
+  FP_TRUNC (B, E, 1, 2, R, A);
+#endif
+  FP_PACK_SEMIRAW_B (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/trunctfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/trunctfbf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,52 @@ 
+/* Software floating-point emulation.
+   Truncate IEEE quad into bfloat16.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+#include "quad.h"
+
+BFtype
+__trunctfbf2 (TFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_Q (A);
+  FP_DECL_B (R);
+  BFtype r;
+
+  FP_INIT_ROUNDMODE;
+  FP_UNPACK_SEMIRAW_Q (A, a);
+#if _FP_W_TYPE_SIZE < 64
+  FP_TRUNC (B, Q, 1, 4, R, A);
+#else
+  FP_TRUNC (B, Q, 1, 2, R, A);
+#endif
+  FP_PACK_SEMIRAW_B (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/trunchfbf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/trunchfbf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,58 @@ 
+/* Software floating-point emulation.
+   Truncate IEEE half into bfloat16.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+#include "half.h"
+#include "single.h"
+
+/* BFtype and HFtype are unordered, neither is a superset or subset
+   of each other.  Convert HFtype to SFtype (lossless) and then
+   truncate to BFtype.  */
+
+BFtype
+__trunchfbf2 (HFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_H (A);
+  FP_DECL_S (B);
+  FP_DECL_B (R);
+  SFtype b;
+  BFtype r;
+
+  FP_INIT_ROUNDMODE;
+  FP_UNPACK_RAW_H (A, a);
+  FP_EXTEND (S, H, 1, 1, B, A);
+  FP_PACK_RAW_S (b, B);
+  FP_UNPACK_SEMIRAW_S (B, b);
+  FP_TRUNC (B, S, 1, 1, R, B);
+  FP_PACK_SEMIRAW_B (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/truncbfhf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/truncbfhf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,75 @@ 
+/* Software floating-point emulation.
+   Truncate bfloat16 into IEEE half.
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "half.h"
+#include "brain.h"
+#include "single.h"
+
+/* BFtype and HFtype are unordered, neither is a superset or subset
+   of each other.  Convert BFtype to SFtype (lossless) and then
+   truncate to HFtype.  */
+
+HFtype
+__truncbfhf2 (BFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_H (A);
+  FP_DECL_S (B);
+  FP_DECL_B (R);
+  SFtype b;
+  HFtype r;
+
+  FP_INIT_ROUNDMODE;
+  /* Optimize BFtype to SFtype conversion to simple left shift
+     by 16 if possible, we don't need to raise exceptions on sNaN
+     here as the SFtype to HFtype truncation should do that too.  */
+  if (sizeof (BFtype) == 2
+      && sizeof (unsigned short) == 2
+      && sizeof (SFtype) == 4
+      && sizeof (unsigned int) == 4)
+    {
+      union { BFtype a; unsigned short b; } u1;
+      union { SFtype a; unsigned int b; } u2;
+      u1.a = a;
+      u2.b = (u1.b << 8) << 8;
+      b = u2.a;
+    }
+  else
+    {
+      FP_UNPACK_RAW_B (A, a);
+      FP_EXTEND (S, B, 1, 1, B, A);
+      FP_PACK_RAW_S (b, B);
+    }
+  FP_UNPACK_SEMIRAW_S (B, b);
+  FP_TRUNC (H, S, 1, 1, R, B);
+  FP_PACK_SEMIRAW_H (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libgcc/soft-fp/extendbfsf2.c.jj	2022-10-13 16:57:09.460768054 +0200
+++ libgcc/soft-fp/extendbfsf2.c	2022-10-13 16:57:09.460768054 +0200
@@ -0,0 +1,49 @@ 
+/* Software floating-point emulation.
+   Return an bfloat16 converted to IEEE single
+   Copyright (C) 2022 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#define FP_NO_EXACT_UNDERFLOW
+#include "soft-fp.h"
+#include "brain.h"
+#include "single.h"
+
+SFtype
+__extendbfsf2 (BFtype a)
+{
+  FP_DECL_EX;
+  FP_DECL_B (A);
+  FP_DECL_S (R);
+  SFtype r;
+
+  FP_INIT_EXCEPTIONS;
+  FP_UNPACK_RAW_B (A, a);
+  FP_EXTEND (S, B, 1, 1, R, A);
+  FP_PACK_RAW_S (r, R);
+  FP_HANDLE_EXCEPTIONS;
+
+  return r;
+}
--- libiberty/cp-demangle.h.jj	2022-10-03 18:00:53.342731278 +0200
+++ libiberty/cp-demangle.h	2022-10-13 16:57:09.488767670 +0200
@@ -180,7 +180,7 @@  d_advance (struct d_info *di, int i)
 extern const struct demangle_operator_info cplus_demangle_operators[];
 #endif
 
-#define D_BUILTIN_TYPE_COUNT (35)
+#define D_BUILTIN_TYPE_COUNT (36)
 
 CP_STATIC_IF_GLIBCPP_V3
 const struct demangle_builtin_type_info
--- libiberty/cp-demangle.c.jj	2022-10-11 14:50:14.605771753 +0200
+++ libiberty/cp-demangle.c	2022-10-13 16:57:09.538766983 +0200
@@ -2487,6 +2487,7 @@  cplus_demangle_builtin_types[D_BUILTIN_T
   /* 33 */ { NL ("decltype(nullptr)"),	NL ("decltype(nullptr)"),
 	     D_PRINT_DEFAULT },
   /* 34 */ { NL ("_Float"),	NL ("_Float"),		D_PRINT_FLOAT },
+  /* 35 */ { NL ("std::bfloat16_t"), NL ("std::bfloat16_t"), D_PRINT_FLOAT },
 };
 
 CP_STATIC_IF_GLIBCPP_V3
@@ -2751,11 +2752,22 @@  cplus_demangle_type (struct d_info *di)
 
 	case 'F':
 	  /* DF<number>_ - _Float<number>.
-	     DF<number>x - _Float<number>x.  */
+	     DF<number>x - _Float<number>x
+	     DF16b - std::bfloat16_t.  */
 	  {
 	    int arg = d_number (di);
 	    char buf[12];
 	    char suffix = 0;
+	    if (d_peek_char (di) == 'b')
+	      {
+		if (arg != 16)
+		  return NULL;
+		d_advance (di, 1);
+		ret = d_make_builtin_type (di,
+					   &cplus_demangle_builtin_types[35]);
+		di->expansion += ret->u.s_builtin.type->len;
+		break;
+	      }
 	    if (d_peek_char (di) == 'x')
 	      suffix = 'x';
 	    if (!suffix && d_peek_char (di) != '_')
--- libiberty/testsuite/demangle-expected.jj	2022-10-11 14:50:14.618771575 +0200
+++ libiberty/testsuite/demangle-expected	2022-10-13 16:57:09.553766778 +0200
@@ -1249,6 +1249,10 @@  xxx
 _Z3xxxDF32xDF64xDF128xCDF32xVb
 xxx(_Float32x, _Float64x, _Float128x, _Float32x _Complex, bool volatile)
 xxx
+--format=auto --no-params
+_Z3xxxDF16b
+xxx(std::bfloat16_t)
+xxx
 # https://sourceware.org/bugzilla/show_bug.cgi?id=16817
 --format=auto --no-params
 _QueueNotification_QueueController__$4PPPPPPPM_A_INotice___Z