diff --git a/gcc/range-op-float.cc b/gcc/range-op-float.cc
index ca41136f4cd..d859309f863 100644
--- a/gcc/range-op-float.cc
+++ b/gcc/range-op-float.cc
@@ -162,6 +162,14 @@ frange_set_nan (frange &r, tree type)
   r.set (type, rv, rv);
 }
 
+// Return TRUE if OP1 is known to be free of NANs.
+
+static inline bool
+finite_operand_p (const frange &op1)
+{
+  return flag_finite_math_only || op1.get_nan ().no_p ();
+}
+
 // Return TRUE if OP1 and OP2 are known to be free of NANs.
 
 static inline bool
@@ -240,6 +248,45 @@ default_frelop_fold_range (irange &r, tree type,
   return true;
 }
 
+// (X <= VAL) produces the range of [MIN, VAL].
+
+static void
+build_le (frange &r, tree type, const REAL_VALUE_TYPE &val)
+{
+  REAL_VALUE_TYPE min;
+  real_inf (&min, 1);
+  r.set (type, min, val);
+}
+
+// (X < VAL) produces the range of [MIN, VAL).
+
+static void
+build_lt (frange &r, tree type, const REAL_VALUE_TYPE &val)
+{
+  // Hijack LE because we only support closed intervals.
+  build_le (r, type, val);
+}
+
+// (X >= VAL) produces the range of [VAL, MAX].
+
+static void
+build_ge (frange &r, tree type, const REAL_VALUE_TYPE &val)
+{
+  REAL_VALUE_TYPE max;
+  real_inf (&max, 0);
+  r.set (type, val, max);
+}
+
+// (X > VAL) produces the range of (VAL, MAX].
+
+static void
+build_gt (frange &r, tree type, const REAL_VALUE_TYPE &val)
+{
+  // Hijack GE because we only support closed intervals.
+  build_ge (r, type, val);
+}
+
+
 class foperator_identity : public range_operator_float
 {
   using range_operator_float::fold_range;
@@ -270,10 +317,7 @@ class foperator_equal : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_EQ);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return equal_op1_op2_relation (lhs);
@@ -289,6 +333,39 @@ class foperator_equal : public range_operator_float
   }
 } fop_equal;
 
+bool
+foperator_equal::fold_range (irange &r, tree type,
+			     const frange &op1, const frange &op2,
+			     relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_EQ))
+    return true;
+
+  // We can be sure the values are always equal or not if both ranges
+  // consist of a single value, and then compare them.
+  if (op1.singleton_p () && op2.singleton_p ())
+    {
+      if (op1 == op2)
+	r = range_true (type);
+      else
+	r = range_false (type);
+    }
+  else if (finite_operands_p (op1, op2))
+    {
+      // If ranges do not intersect, we know the range is not equal,
+      // otherwise we don't know anything for sure.
+      frange tmp = op1;
+      tmp.intersect (op2);
+      if (tmp.undefined_p ())
+	r = range_false (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_equal::op1_range (frange &r, tree type,
 			    const irange &lhs,
@@ -309,6 +386,14 @@ foperator_equal::op1_range (frange &r, tree type,
       // The FALSE side of op1 == op1 implies op1 is a NAN.
       if (rel == VREL_EQ)
 	frange_set_nan (r, type);
+      // If the result is false, the only time we know anything is
+      // if OP2 is a constant.
+      else if (op2.singleton_p ()
+	       || (finite_operand_p (op2) && op2.zero_p ()))
+	{
+	  REAL_VALUE_TYPE tmp = op2.lower_bound ();
+	  r.set (type, tmp, tmp, VR_ANTI_RANGE);
+	}
       break;
 
     default:
@@ -324,10 +409,7 @@ class foperator_not_equal : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_NE);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return not_equal_op1_op2_relation (lhs);
@@ -337,6 +419,39 @@ class foperator_not_equal : public range_operator_float
 		  relation_kind rel) const final override;
 } fop_not_equal;
 
+bool
+foperator_not_equal::fold_range (irange &r, tree type,
+				 const frange &op1, const frange &op2,
+				 relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_NE))
+    return true;
+
+  // We can be sure the values are always equal or not if both ranges
+  // consist of a single value, and then compare them.
+  if (op1.singleton_p () && op2.singleton_p ())
+    {
+      if (op1 != op2)
+	r = range_true (type);
+      else
+	r = range_false (type);
+    }
+  else if (finite_operands_p (op1, op2))
+    {
+      // If ranges do not intersect, we know the range is not equal,
+      // otherwise we don't know anything for sure.
+      frange tmp = op1;
+      tmp.intersect (op2);
+      if (tmp.undefined_p ())
+	r = range_true (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_not_equal::op1_range (frange &r, tree type,
 				const irange &lhs,
@@ -346,11 +461,23 @@ foperator_not_equal::op1_range (frange &r, tree type,
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
+      // If the result is true, the only time we know anything is if
+      // OP2 is a constant.
+      if (op2.singleton_p ())
+	{
+	  // This is correct even if op1 is NAN, because the following
+	  // range would be ~[tmp, tmp] with the NAN property set to
+	  // maybe (VARYING).
+	  REAL_VALUE_TYPE tmp = op2.lower_bound ();
+	  r.set (type, tmp, tmp, VR_ANTI_RANGE);
+	}
+      else
+	r.set_varying (type);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      // If it's false, the result is the same as OP2.
+      r = op2;
       // The FALSE side of op1 != op2 implies op1 is !NAN.
       r.set_nan (fp_prop::NO);
       break;
@@ -369,10 +496,7 @@ class foperator_lt : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_LT);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return lt_op1_op2_relation (lhs);
@@ -385,6 +509,31 @@ class foperator_lt : public range_operator_float
 		  relation_kind rel) const final override;
 } fop_lt;
 
+bool
+foperator_lt::fold_range (irange &r, tree type,
+			  const frange &op1, const frange &op2,
+			  relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_LT))
+    return true;
+
+  if (finite_operands_p (op1, op2))
+    {
+      if (real_less (&op1.upper_bound (), &op2.lower_bound ()))
+	r = range_true (type);
+      else if (finite_operands_p (op1, op2)
+	       && !real_less (&op1.lower_bound (), &op2.upper_bound ()))
+	r = range_false (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else if (op1.get_nan ().yes_p () || op2.get_nan ().yes_p ())
+    r = range_false (type);
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_lt::op1_range (frange &r,
 			 tree type,
@@ -395,15 +544,14 @@ foperator_lt::op1_range (frange &r,
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 < op2 implies op1 is !NAN and !INF.
+      build_lt (r, type, op2.upper_bound ());
       r.set_nan (fp_prop::NO);
       // x < y implies x is not +INF.
       frange_drop_inf (r, type);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_ge (r, type, op2.lower_bound ());
       break;
 
     default:
@@ -422,15 +570,14 @@ foperator_lt::op2_range (frange &r,
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 < op2 implies op2 is !NAN and !NINF.
+      build_gt (r, type, op1.lower_bound ());
       r.set_nan (fp_prop::NO);
       // x < y implies y is not -INF.
       frange_drop_ninf (r, type);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_le (r, type, op1.upper_bound ());
       break;
 
     default:
@@ -447,10 +594,7 @@ class foperator_le : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_LE);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return le_op1_op2_relation (lhs);
@@ -460,29 +604,74 @@ class foperator_le : public range_operator_float
 		  relation_kind rel) const final override;
   bool op2_range (frange &r, tree type,
 		  const irange &lhs, const frange &op1,
-		  relation_kind rel) const final override
-  {
-    return op1_range (r, type, lhs, op1, rel);
-  }
+		  relation_kind rel) const final override;
 } fop_le;
 
+bool
+foperator_le::fold_range (irange &r, tree type,
+			  const frange &op1, const frange &op2,
+			  relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_LE))
+    return true;
+
+  if (finite_operands_p (op1, op2))
+    {
+      if (real_compare (LE_EXPR, &op1.upper_bound (), &op2.lower_bound ()))
+	r = range_true (type);
+      else if (finite_operands_p (op1, op2)
+	       && !real_compare (LE_EXPR, &op1.lower_bound (), &op2.upper_bound ()))
+	r = range_false (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else if (op1.get_nan ().yes_p () || op2.get_nan ().yes_p ())
+    r = range_false (type);
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_le::op1_range (frange &r,
 			 tree type,
 			 const irange &lhs,
-			 const frange &op2 ATTRIBUTE_UNUSED,
+			 const frange &op2,
 			 relation_kind) const
 {
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 <= op2 implies op1 is !NAN.
+      build_le (r, type, op2.upper_bound ());
       r.set_nan (fp_prop::NO);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_gt (r, type, op2.lower_bound ());
+      break;
+
+    default:
+      break;
+    }
+  return true;
+}
+
+bool
+foperator_le::op2_range (frange &r,
+			 tree type,
+			 const irange &lhs,
+			 const frange &op1,
+			 relation_kind) const
+{
+  switch (get_bool_state (r, lhs, type))
+    {
+    case BRS_TRUE:
+      build_ge (r, type, op1.lower_bound ());
+      r.set_nan (fp_prop::NO);
+      break;
+
+    case BRS_FALSE:
+      build_lt (r, type, op1.upper_bound ());
       break;
 
     default:
@@ -499,10 +688,7 @@ class foperator_gt : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_GT);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return gt_op1_op2_relation (lhs);
@@ -515,6 +701,31 @@ class foperator_gt : public range_operator_float
 		  relation_kind rel) const final override;
 } fop_gt;
 
+bool
+foperator_gt::fold_range (irange &r, tree type,
+			  const frange &op1, const frange &op2,
+			  relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_GT))
+    return true;
+
+  if (finite_operands_p (op1, op2))
+    {
+      if (real_compare (GT_EXPR, &op1.lower_bound (), &op2.upper_bound ()))
+	r = range_true (type);
+      else if (finite_operands_p (op1, op2)
+	       && !real_compare (GT_EXPR, &op1.upper_bound (), &op2.lower_bound ()))
+	r = range_false (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else if (op1.get_nan ().yes_p () || op2.get_nan ().yes_p ())
+    r = range_false (type);
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_gt::op1_range (frange &r,
 			 tree type,
@@ -525,15 +736,14 @@ foperator_gt::op1_range (frange &r,
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 > op2 implies op1 is !NAN and !NINF.
+      build_gt (r, type, op2.lower_bound ());
       r.set_nan (fp_prop::NO);
       // x > y implies x is not -INF.
       frange_drop_ninf (r, type);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_le (r, type, op2.upper_bound ());
       break;
 
     default:
@@ -552,15 +762,14 @@ foperator_gt::op2_range (frange &r,
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 > op2 implies op2 is !NAN and !INF.
+      build_lt (r, type, op1.upper_bound ());
       r.set_nan (fp_prop::NO);
       // x > y implies y is not +INF.
       frange_drop_inf (r, type);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_ge (r, type, op1.lower_bound ());
       break;
 
     default:
@@ -577,10 +786,7 @@ class foperator_ge : public range_operator_float
 
   bool fold_range (irange &r, tree type,
 		   const frange &op1, const frange &op2,
-		   relation_kind rel) const final override
-  {
-    return default_frelop_fold_range (r, type, op1, op2, rel, VREL_GE);
-  }
+		   relation_kind rel) const final override;
   relation_kind op1_op2_relation (const irange &lhs) const final override
   {
     return ge_op1_op2_relation (lhs);
@@ -590,29 +796,73 @@ class foperator_ge : public range_operator_float
 		  relation_kind rel) const final override;
   bool op2_range (frange &r, tree type,
 		  const irange &lhs, const frange &op1,
-		  relation_kind rel) const final override
-  {
-    return op1_range (r, type, lhs, op1, rel);
-  }
+		  relation_kind rel) const final override;
 } fop_ge;
 
+bool
+foperator_ge::fold_range (irange &r, tree type,
+			  const frange &op1, const frange &op2,
+			  relation_kind rel) const
+{
+  if (frelop_early_resolve (r, type, op1, op2, rel, VREL_GE))
+    return true;
+
+  if (finite_operands_p (op1, op2))
+    {
+      if (real_compare (GE_EXPR, &op1.lower_bound (), &op2.upper_bound ()))
+	r = range_true (type);
+      else if (finite_operands_p (op1, op2)
+	       && !real_compare (GE_EXPR, &op1.upper_bound (), &op2.lower_bound ()))
+	r = range_false (type);
+      else
+	r = range_true_and_false (type);
+    }
+  else if (op1.get_nan ().yes_p () || op2.get_nan ().yes_p ())
+    r = range_false (type);
+  else
+    r = range_true_and_false (type);
+  return true;
+}
+
 bool
 foperator_ge::op1_range (frange &r,
 			 tree type,
 			 const irange &lhs,
-			 const frange &op2 ATTRIBUTE_UNUSED,
+			 const frange &op2,
 			 relation_kind) const
 {
   switch (get_bool_state (r, lhs, type))
     {
     case BRS_TRUE:
-      r.set_varying (type);
-      // The TRUE side of op1 >= op2 implies op1 is !NAN.
+      build_ge (r, type, op2.lower_bound ());
       r.set_nan (fp_prop::NO);
       break;
 
     case BRS_FALSE:
-      r.set_varying (type);
+      build_lt (r, type, op2.upper_bound ());
+      break;
+
+    default:
+      break;
+    }
+  return true;
+}
+
+bool
+foperator_ge::op2_range (frange &r, tree type,
+			 const irange &lhs,
+			 const frange &op1,
+			 relation_kind) const
+{
+  switch (get_bool_state (r, lhs, type))
+    {
+    case BRS_FALSE:
+      build_gt (r, type, op1.lower_bound ());
+      break;
+
+    case BRS_TRUE:
+      build_le (r, type, op1.upper_bound ());
+      r.set_nan (fp_prop::NO);
       break;
 
     default:
diff --git a/gcc/testsuite/gcc.dg/tree-ssa/recip-3.c b/gcc/testsuite/gcc.dg/tree-ssa/recip-3.c
index 410b28044b4..036f32a9c33 100644
--- a/gcc/testsuite/gcc.dg/tree-ssa/recip-3.c
+++ b/gcc/testsuite/gcc.dg/tree-ssa/recip-3.c
@@ -1,6 +1,11 @@
 /* { dg-do compile } */
 /* { dg-options "-O1 -fno-trapping-math -funsafe-math-optimizations -fdump-tree-recip" } */
 
+/* The recip pass has a threshold of 3 reciprocal operations before it attempts
+   to optimize a sequence.  With a FP enabled ranger, we eliminate one of them
+   earlier, causing the pass to skip this optimization.  */
+/* { dg-additional-options "-fno-thread-jumps -fno-tree-dominator-opts" } */
+
 double F[5] = { 0.0, 0.0 }, e;
 
 /* In this case the optimization is interesting.  */