diff --git a/gcc/doc/invoke.texi b/gcc/doc/invoke.texi
index 4acb941..2de7d99 100644
--- a/gcc/doc/invoke.texi
+++ b/gcc/doc/invoke.texi
@@ -3125,7 +3125,7 @@ errors if these functions are not inlined everywhere they are called.
 @itemx -fno-modules-ts
 @opindex fmodules-ts
 @opindex fno-modules-ts
-Enable support for C++20 modules (@xref{C++ Modules}).  The
+Enable support for C++20 modules, see @xref{C++ Modules}.  The
 @option{-fno-modules-ts} is usually not needed, as that is the
 default.  Even though this is a C++20 feature, it is not currently
 implicitly enabled by selecting that standard version.
@@ -33553,7 +33553,7 @@ version selected, although in pre-C++20 versions, it is of course an
 extension.
 
 No new source file suffixes are required or supported.  If you wish to
-use a non-standard suffix (@xref{Overall Options}), you also need
+use a non-standard suffix, see @xref{Overall Options}, you also need
 to provide a @option{-x c++} option too.@footnote{Some users like to
 distinguish module interface files with a new suffix, such as naming
 the source @code{module.cppm}, which involves
@@ -33615,8 +33615,8 @@ to be resolved at the end of compilation.  Without this, imported
 macros are only resolved when expanded or (re)defined.  This option
 detects conflicting import definitions for all macros.
 
-@xref{C++ Module Mapper} for details of the @option{-fmodule-mapper}
-family of options.
+For details of the @option{-fmodule-mapper} family of options,
+see @xref{C++ Module Mapper}.
 
 @menu
 * C++ Module Mapper::       Module Mapper
@@ -33833,8 +33833,8 @@ dialect used and imports of the module.@footnote{The precise contents
 of this output may change.} The timestamp is the same value as that
 provided by the @code{__DATE__} & @code{__TIME__} macros, and may be
 explicitly specified with the environment variable
-@code{SOURCE_DATE_EPOCH}.  @xref{Environment Variables} for further
-details.
+@code{SOURCE_DATE_EPOCH}.  For further details see
+@xref{Environment Variables}.
 
 A set of related CMIs may be copied, provided the relative pathnames
 are preserved.
diff --git a/gcc/doc/md.texi b/gcc/doc/md.texi
index 2b41cb7..58b9bab0 100644
--- a/gcc/doc/md.texi
+++ b/gcc/doc/md.texi
@@ -5776,11 +5776,13 @@ multiplication.
 @item @samp{smul@var{m}3_highpart}
 Perform a signed multiplication of operands 1 and 2, which have mode
 @var{m}, and store the most significant half of the product in operand 0.
-The least significant half of the product is discarded.
+The least significant half of the product is discarded.  This may be
+represented in RTL using a @code{sh_mul} RTX expression.
 
 @cindex @code{umul@var{m}3_highpart} instruction pattern
 @item @samp{umul@var{m}3_highpart}
-Similar, but the multiplication is unsigned.
+Similar, but the multiplication is unsigned.  This may be represented
+in RTL using an @code{uh_mul} RTX expression.
 
 @cindex @code{madd@var{m}@var{n}4} instruction pattern
 @item @samp{madd@var{m}@var{n}4}
diff --git a/gcc/doc/rtl.texi b/gcc/doc/rtl.texi
index e1e76a9..94400a8 100644
--- a/gcc/doc/rtl.texi
+++ b/gcc/doc/rtl.texi
@@ -2524,7 +2524,19 @@ not be the same.
 For unsigned widening multiplication, use the same idiom, but with
 @code{zero_extend} instead of @code{sign_extend}.
 
+@findex sh_mult
+@findex uh_mult
+@cindex high-part multiplication
+@cindex multiplication high part
+@item (sh_mult:@var{m} @var{x} @var{y})
+@itemx (uh_mult:@var{m} @var{x} @var{y})
+Represents the high-part multiplication of @var{x} and @var{y} carried
+out in machine mode @var{m}.  @code{sh_mult} returns the high part of
+a signed multiplication @code{uh_mult} returns the high part of an
+unsigned multiplication.
+
 @findex fma
+@cindex fused multiply-add
 @item (fma:@var{m} @var{x} @var{y} @var{z})
 Represents the @code{fma}, @code{fmaf}, and @code{fmal} builtin
 functions, which compute @samp{@var{x} * @var{y} + @var{z}}
diff --git a/gcc/dwarf2out.c b/gcc/dwarf2out.c
index 9876750..c89134e 100644
--- a/gcc/dwarf2out.c
+++ b/gcc/dwarf2out.c
@@ -16770,6 +16770,8 @@ mem_loc_descriptor (rtx rtl, machine_mode mode,
 	 natively.  */
     case SS_MULT:
     case US_MULT:
+    case SH_MULT:
+    case UH_MULT:
     case SS_DIV:
     case US_DIV:
     case SS_PLUS:
diff --git a/gcc/rtl.def b/gcc/rtl.def
index c80144b..8993e87 100644
--- a/gcc/rtl.def
+++ b/gcc/rtl.def
@@ -467,6 +467,11 @@ DEF_RTL_EXPR(SS_MULT, "ss_mult", "ee", RTX_COMM_ARITH)
 /* Multiplication with unsigned saturation */
 DEF_RTL_EXPR(US_MULT, "us_mult", "ee", RTX_COMM_ARITH)
 
+/* Signed high-part multiplication.  */
+DEF_RTL_EXPR(SH_MULT, "sh_mult", "ee", RTX_COMM_ARITH)
+/* Unsigned high-part multiplication.  */
+DEF_RTL_EXPR(UH_MULT, "uh_mult", "ee", RTX_COMM_ARITH)
+
 /* Operand 0 divided by operand 1.  */
 DEF_RTL_EXPR(DIV, "div", "ee", RTX_BIN_ARITH)
 /* Division with signed saturation */
diff --git a/gcc/simplify-rtx.c b/gcc/simplify-rtx.c
index ebad5cb..b4b04b9 100644
--- a/gcc/simplify-rtx.c
+++ b/gcc/simplify-rtx.c
@@ -4142,11 +4142,40 @@ simplify_context::simplify_binary_operation_1 (rtx_code code,
     case US_PLUS:
     case SS_MINUS:
     case US_MINUS:
+      /* Simplify x + 0 to x, if possible.  */
+      if (trueop1 == CONST0_RTX (mode) && !HONOR_SIGNED_ZEROS (mode))
+	return op0;
+      return 0;
+
     case SS_MULT:
     case US_MULT:
+      /* Simplify x * 0 to 0, if possible.  */
+      if (trueop1 == CONST0_RTX (mode)
+	  && !HONOR_NANS (mode)
+	  && !HONOR_SIGNED_ZEROS (mode)
+	  && !side_effects_p (op0))
+	return op1;
+
+      /* Simplify x * 1 to x, if possible.  */
+      if (trueop1 == CONST1_RTX (mode) && !HONOR_SNANS (mode))
+	return op0;
+      return 0;
+
+    case SH_MULT:
+    case UH_MULT:
+      /* Simplify x * 0 to 0, if possible.  */
+      if (trueop1 == CONST0_RTX (mode)
+	  && !HONOR_NANS (mode)
+	  && !HONOR_SIGNED_ZEROS (mode)
+	  && !side_effects_p (op0))
+	return op1;
+      return 0;
+
     case SS_DIV:
     case US_DIV:
-      /* ??? There are simplifications that can be done.  */
+      /* Simplify x / 1 to x, if possible.  */
+      if (trueop1 == CONST1_RTX (mode) && !HONOR_SNANS (mode))
+	return op0;
       return 0;
 
     case VEC_SERIES:
@@ -5011,6 +5040,63 @@ simplify_const_binary_operation (enum rtx_code code, machine_mode mode,
 	      }
 	    break;
 	  }
+
+	case SS_PLUS:
+	  result = wi::add (pop0, pop1, SIGNED, &overflow);
+          if (overflow == wi::OVF_OVERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+	  else if (overflow == wi::OVF_UNDERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+          else if (overflow != wi::OVF_NONE)
+	    return NULL_RTX;
+	  break;
+
+	case US_PLUS:
+	  result = wi::add (pop0, pop1, UNSIGNED, &overflow);
+          if (overflow != wi::OVF_NONE)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), UNSIGNED);
+	  break;
+
+	case SS_MINUS:
+	  result = wi::sub (pop0, pop1, SIGNED, &overflow);
+          if (overflow == wi::OVF_OVERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+	  else if (overflow == wi::OVF_UNDERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+          else if (overflow != wi::OVF_NONE)
+	    return NULL_RTX;
+	  break;
+
+	case US_MINUS:
+	  result = wi::sub (pop0, pop1, UNSIGNED, &overflow);
+          if (overflow != wi::OVF_NONE)
+	    result = wi::min_value (GET_MODE_PRECISION (int_mode), UNSIGNED);
+	  break;
+
+	case SS_MULT:
+	  result = wi::mul (pop0, pop1, SIGNED, &overflow);
+          if (overflow == wi::OVF_OVERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+	  else if (overflow == wi::OVF_UNDERFLOW)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), SIGNED);
+          else if (overflow != wi::OVF_NONE)
+	    return NULL_RTX;
+	  break;
+
+	case US_MULT:
+	  result = wi::mul (pop0, pop1, UNSIGNED, &overflow);
+          if (overflow != wi::OVF_NONE)
+	    result = wi::max_value (GET_MODE_PRECISION (int_mode), UNSIGNED);
+	  break;
+
+	case SH_MULT:
+	  result = wi::mul_high (pop0, pop1, SIGNED);
+	  break;
+
+	case UH_MULT:
+	  result = wi::mul_high (pop0, pop1, UNSIGNED);
+	  break;
+
 	default:
 	  return NULL_RTX;
 	}
