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path: root/gcc-4.9/gcc/tree-vrp.c
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/* Support routines for Value Range Propagation (VRP).
   Copyright (C) 2005-2014 Free Software Foundation, Inc.
   Contributed by Diego Novillo <dnovillo@redhat.com>.

This file is part of GCC.

GCC is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3, or (at your option)
any later version.

GCC 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 General Public License for more details.

You should have received a copy of the GNU General Public License
along with GCC; see the file COPYING3.  If not see
<http://www.gnu.org/licenses/>.  */

#include "config.h"
#include "system.h"
#include "coretypes.h"
#include "tm.h"
#include "flags.h"
#include "tree.h"
#include "stor-layout.h"
#include "calls.h"
#include "basic-block.h"
#include "tree-ssa-alias.h"
#include "internal-fn.h"
#include "gimple-fold.h"
#include "tree-eh.h"
#include "gimple-expr.h"
#include "is-a.h"
#include "gimple.h"
#include "gimple-iterator.h"
#include "gimple-walk.h"
#include "gimple-ssa.h"
#include "tree-cfg.h"
#include "tree-phinodes.h"
#include "ssa-iterators.h"
#include "stringpool.h"
#include "tree-ssanames.h"
#include "tree-ssa-loop-manip.h"
#include "tree-ssa-loop-niter.h"
#include "tree-ssa-loop.h"
#include "tree-into-ssa.h"
#include "tree-ssa.h"
#include "tree-pass.h"
#include "tree-dump.h"
#include "gimple-pretty-print.h"
#include "diagnostic-core.h"
#include "intl.h"
#include "cfgloop.h"
#include "tree-scalar-evolution.h"
#include "tree-ssa-propagate.h"
#include "tree-chrec.h"
#include "tree-ssa-threadupdate.h"
#include "expr.h"
#include "optabs.h"
#include "tree-ssa-threadedge.h"



/* Range of values that can be associated with an SSA_NAME after VRP
   has executed.  */
struct value_range_d
{
  /* Lattice value represented by this range.  */
  enum value_range_type type;

  /* Minimum and maximum values represented by this range.  These
     values should be interpreted as follows:

	- If TYPE is VR_UNDEFINED or VR_VARYING then MIN and MAX must
	  be NULL.

	- If TYPE == VR_RANGE then MIN holds the minimum value and
	  MAX holds the maximum value of the range [MIN, MAX].

	- If TYPE == ANTI_RANGE the variable is known to NOT
	  take any values in the range [MIN, MAX].  */
  tree min;
  tree max;

  /* Set of SSA names whose value ranges are equivalent to this one.
     This set is only valid when TYPE is VR_RANGE or VR_ANTI_RANGE.  */
  bitmap equiv;
};

typedef struct value_range_d value_range_t;

#define VR_INITIALIZER { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL }

/* Set of SSA names found live during the RPO traversal of the function
   for still active basic-blocks.  */
static sbitmap *live;

/* Return true if the SSA name NAME is live on the edge E.  */

static bool
live_on_edge (edge e, tree name)
{
  return (live[e->dest->index]
	  && bitmap_bit_p (live[e->dest->index], SSA_NAME_VERSION (name)));
}

/* Local functions.  */
static int compare_values (tree val1, tree val2);
static int compare_values_warnv (tree val1, tree val2, bool *);
static void vrp_meet (value_range_t *, value_range_t *);
static void vrp_intersect_ranges (value_range_t *, value_range_t *);
static tree vrp_evaluate_conditional_warnv_with_ops (enum tree_code,
						     tree, tree, bool, bool *,
						     bool *);

/* Location information for ASSERT_EXPRs.  Each instance of this
   structure describes an ASSERT_EXPR for an SSA name.  Since a single
   SSA name may have more than one assertion associated with it, these
   locations are kept in a linked list attached to the corresponding
   SSA name.  */
struct assert_locus_d
{
  /* Basic block where the assertion would be inserted.  */
  basic_block bb;

  /* Some assertions need to be inserted on an edge (e.g., assertions
     generated by COND_EXPRs).  In those cases, BB will be NULL.  */
  edge e;

  /* Pointer to the statement that generated this assertion.  */
  gimple_stmt_iterator si;

  /* Predicate code for the ASSERT_EXPR.  Must be COMPARISON_CLASS_P.  */
  enum tree_code comp_code;

  /* Value being compared against.  */
  tree val;

  /* Expression to compare.  */
  tree expr;

  /* Next node in the linked list.  */
  struct assert_locus_d *next;
};

typedef struct assert_locus_d *assert_locus_t;

/* If bit I is present, it means that SSA name N_i has a list of
   assertions that should be inserted in the IL.  */
static bitmap need_assert_for;

/* Array of locations lists where to insert assertions.  ASSERTS_FOR[I]
   holds a list of ASSERT_LOCUS_T nodes that describe where
   ASSERT_EXPRs for SSA name N_I should be inserted.  */
static assert_locus_t *asserts_for;

/* Value range array.  After propagation, VR_VALUE[I] holds the range
   of values that SSA name N_I may take.  */
static unsigned num_vr_values;
static value_range_t **vr_value;
static bool values_propagated;

/* For a PHI node which sets SSA name N_I, VR_COUNTS[I] holds the
   number of executable edges we saw the last time we visited the
   node.  */
static int *vr_phi_edge_counts;

typedef struct {
  gimple stmt;
  tree vec;
} switch_update;

static vec<edge> to_remove_edges;
static vec<switch_update> to_update_switch_stmts;


/* Return the maximum value for TYPE.  */

static inline tree
vrp_val_max (const_tree type)
{
  if (!INTEGRAL_TYPE_P (type))
    return NULL_TREE;

  return TYPE_MAX_VALUE (type);
}

/* Return the minimum value for TYPE.  */

static inline tree
vrp_val_min (const_tree type)
{
  if (!INTEGRAL_TYPE_P (type))
    return NULL_TREE;

  return TYPE_MIN_VALUE (type);
}

/* Return whether VAL is equal to the maximum value of its type.  This
   will be true for a positive overflow infinity.  We can't do a
   simple equality comparison with TYPE_MAX_VALUE because C typedefs
   and Ada subtypes can produce types whose TYPE_MAX_VALUE is not ==
   to the integer constant with the same value in the type.  */

static inline bool
vrp_val_is_max (const_tree val)
{
  tree type_max = vrp_val_max (TREE_TYPE (val));
  return (val == type_max
	  || (type_max != NULL_TREE
	      && operand_equal_p (val, type_max, 0)));
}

/* Return whether VAL is equal to the minimum value of its type.  This
   will be true for a negative overflow infinity.  */

static inline bool
vrp_val_is_min (const_tree val)
{
  tree type_min = vrp_val_min (TREE_TYPE (val));
  return (val == type_min
	  || (type_min != NULL_TREE
	      && operand_equal_p (val, type_min, 0)));
}


/* Return whether TYPE should use an overflow infinity distinct from
   TYPE_{MIN,MAX}_VALUE.  We use an overflow infinity value to
   represent a signed overflow during VRP computations.  An infinity
   is distinct from a half-range, which will go from some number to
   TYPE_{MIN,MAX}_VALUE.  */

static inline bool
needs_overflow_infinity (const_tree type)
{
  return INTEGRAL_TYPE_P (type) && !TYPE_OVERFLOW_WRAPS (type);
}

/* Return whether TYPE can support our overflow infinity
   representation: we use the TREE_OVERFLOW flag, which only exists
   for constants.  If TYPE doesn't support this, we don't optimize
   cases which would require signed overflow--we drop them to
   VARYING.  */

static inline bool
supports_overflow_infinity (const_tree type)
{
  tree min = vrp_val_min (type), max = vrp_val_max (type);
#ifdef ENABLE_CHECKING
  gcc_assert (needs_overflow_infinity (type));
#endif
  return (min != NULL_TREE
	  && CONSTANT_CLASS_P (min)
	  && max != NULL_TREE
	  && CONSTANT_CLASS_P (max));
}

/* VAL is the maximum or minimum value of a type.  Return a
   corresponding overflow infinity.  */

static inline tree
make_overflow_infinity (tree val)
{
  gcc_checking_assert (val != NULL_TREE && CONSTANT_CLASS_P (val));
  val = copy_node (val);
  TREE_OVERFLOW (val) = 1;
  return val;
}

/* Return a negative overflow infinity for TYPE.  */

static inline tree
negative_overflow_infinity (tree type)
{
  gcc_checking_assert (supports_overflow_infinity (type));
  return make_overflow_infinity (vrp_val_min (type));
}

/* Return a positive overflow infinity for TYPE.  */

static inline tree
positive_overflow_infinity (tree type)
{
  gcc_checking_assert (supports_overflow_infinity (type));
  return make_overflow_infinity (vrp_val_max (type));
}

/* Return whether VAL is a negative overflow infinity.  */

static inline bool
is_negative_overflow_infinity (const_tree val)
{
  return (needs_overflow_infinity (TREE_TYPE (val))
	  && CONSTANT_CLASS_P (val)
	  && TREE_OVERFLOW (val)
	  && vrp_val_is_min (val));
}

/* Return whether VAL is a positive overflow infinity.  */

static inline bool
is_positive_overflow_infinity (const_tree val)
{
  return (needs_overflow_infinity (TREE_TYPE (val))
	  && CONSTANT_CLASS_P (val)
	  && TREE_OVERFLOW (val)
	  && vrp_val_is_max (val));
}

/* Return whether VAL is a positive or negative overflow infinity.  */

static inline bool
is_overflow_infinity (const_tree val)
{
  return (needs_overflow_infinity (TREE_TYPE (val))
	  && CONSTANT_CLASS_P (val)
	  && TREE_OVERFLOW (val)
	  && (vrp_val_is_min (val) || vrp_val_is_max (val)));
}

/* Return whether STMT has a constant rhs that is_overflow_infinity. */

static inline bool
stmt_overflow_infinity (gimple stmt)
{
  if (is_gimple_assign (stmt)
      && get_gimple_rhs_class (gimple_assign_rhs_code (stmt)) ==
      GIMPLE_SINGLE_RHS)
    return is_overflow_infinity (gimple_assign_rhs1 (stmt));
  return false;
}

/* If VAL is now an overflow infinity, return VAL.  Otherwise, return
   the same value with TREE_OVERFLOW clear.  This can be used to avoid
   confusing a regular value with an overflow value.  */

static inline tree
avoid_overflow_infinity (tree val)
{
  if (!is_overflow_infinity (val))
    return val;

  if (vrp_val_is_max (val))
    return vrp_val_max (TREE_TYPE (val));
  else
    {
      gcc_checking_assert (vrp_val_is_min (val));
      return vrp_val_min (TREE_TYPE (val));
    }
}


/* Return true if ARG is marked with the nonnull attribute in the
   current function signature.  */

static bool
nonnull_arg_p (const_tree arg)
{
  tree t, attrs, fntype;
  unsigned HOST_WIDE_INT arg_num;

  gcc_assert (TREE_CODE (arg) == PARM_DECL && POINTER_TYPE_P (TREE_TYPE (arg)));

  /* The static chain decl is always non null.  */
  if (arg == cfun->static_chain_decl)
    return true;

  fntype = TREE_TYPE (current_function_decl);
  for (attrs = TYPE_ATTRIBUTES (fntype); attrs; attrs = TREE_CHAIN (attrs))
    {
      attrs = lookup_attribute ("nonnull", attrs);

      /* If "nonnull" wasn't specified, we know nothing about the argument.  */
      if (attrs == NULL_TREE)
	return false;

      /* If "nonnull" applies to all the arguments, then ARG is non-null.  */
      if (TREE_VALUE (attrs) == NULL_TREE)
	return true;

      /* Get the position number for ARG in the function signature.  */
      for (arg_num = 1, t = DECL_ARGUMENTS (current_function_decl);
	   t;
	   t = DECL_CHAIN (t), arg_num++)
	{
	  if (t == arg)
	    break;
	}

      gcc_assert (t == arg);

      /* Now see if ARG_NUM is mentioned in the nonnull list.  */
      for (t = TREE_VALUE (attrs); t; t = TREE_CHAIN (t))
	{
	  if (compare_tree_int (TREE_VALUE (t), arg_num) == 0)
	    return true;
	}
    }

  return false;
}


/* Set value range VR to VR_UNDEFINED.  */

static inline void
set_value_range_to_undefined (value_range_t *vr)
{
  vr->type = VR_UNDEFINED;
  vr->min = vr->max = NULL_TREE;
  if (vr->equiv)
    bitmap_clear (vr->equiv);
}


/* Set value range VR to VR_VARYING.  */

static inline void
set_value_range_to_varying (value_range_t *vr)
{
  vr->type = VR_VARYING;
  vr->min = vr->max = NULL_TREE;
  if (vr->equiv)
    bitmap_clear (vr->equiv);
}


/* Set value range VR to {T, MIN, MAX, EQUIV}.  */

static void
set_value_range (value_range_t *vr, enum value_range_type t, tree min,
		 tree max, bitmap equiv)
{
#if defined ENABLE_CHECKING
  /* Check the validity of the range.  */
  if (t == VR_RANGE || t == VR_ANTI_RANGE)
    {
      int cmp;

      gcc_assert (min && max);

      gcc_assert ((!TREE_OVERFLOW_P (min) || is_overflow_infinity (min))
		  && (!TREE_OVERFLOW_P (max) || is_overflow_infinity (max)));

      if (INTEGRAL_TYPE_P (TREE_TYPE (min)) && t == VR_ANTI_RANGE)
	gcc_assert (!vrp_val_is_min (min) || !vrp_val_is_max (max));

      cmp = compare_values (min, max);
      gcc_assert (cmp == 0 || cmp == -1 || cmp == -2);

      if (needs_overflow_infinity (TREE_TYPE (min)))
	gcc_assert (!is_overflow_infinity (min)
		    || !is_overflow_infinity (max));
    }

  if (t == VR_UNDEFINED || t == VR_VARYING)
    gcc_assert (min == NULL_TREE && max == NULL_TREE);

  if (t == VR_UNDEFINED || t == VR_VARYING)
    gcc_assert (equiv == NULL || bitmap_empty_p (equiv));
#endif

  vr->type = t;
  vr->min = min;
  vr->max = max;

  /* Since updating the equivalence set involves deep copying the
     bitmaps, only do it if absolutely necessary.  */
  if (vr->equiv == NULL
      && equiv != NULL)
    vr->equiv = BITMAP_ALLOC (NULL);

  if (equiv != vr->equiv)
    {
      if (equiv && !bitmap_empty_p (equiv))
	bitmap_copy (vr->equiv, equiv);
      else
	bitmap_clear (vr->equiv);
    }
}


/* Set value range VR to the canonical form of {T, MIN, MAX, EQUIV}.
   This means adjusting T, MIN and MAX representing the case of a
   wrapping range with MAX < MIN covering [MIN, type_max] U [type_min, MAX]
   as anti-rage ~[MAX+1, MIN-1].  Likewise for wrapping anti-ranges.
   In corner cases where MAX+1 or MIN-1 wraps this will fall back
   to varying.
   This routine exists to ease canonicalization in the case where we
   extract ranges from var + CST op limit.  */

static void
set_and_canonicalize_value_range (value_range_t *vr, enum value_range_type t,
				  tree min, tree max, bitmap equiv)
{
  /* Use the canonical setters for VR_UNDEFINED and VR_VARYING.  */
  if (t == VR_UNDEFINED)
    {
      set_value_range_to_undefined (vr);
      return;
    }
  else if (t == VR_VARYING)
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* Nothing to canonicalize for symbolic ranges.  */
  if (TREE_CODE (min) != INTEGER_CST
      || TREE_CODE (max) != INTEGER_CST)
    {
      set_value_range (vr, t, min, max, equiv);
      return;
    }

  /* Wrong order for min and max, to swap them and the VR type we need
     to adjust them.  */
  if (tree_int_cst_lt (max, min))
    {
      tree one, tmp;

      /* For one bit precision if max < min, then the swapped
	 range covers all values, so for VR_RANGE it is varying and
	 for VR_ANTI_RANGE empty range, so drop to varying as well.  */
      if (TYPE_PRECISION (TREE_TYPE (min)) == 1)
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      one = build_int_cst (TREE_TYPE (min), 1);
      tmp = int_const_binop (PLUS_EXPR, max, one);
      max = int_const_binop (MINUS_EXPR, min, one);
      min = tmp;

      /* There's one corner case, if we had [C+1, C] before we now have
	 that again.  But this represents an empty value range, so drop
	 to varying in this case.  */
      if (tree_int_cst_lt (max, min))
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      t = t == VR_RANGE ? VR_ANTI_RANGE : VR_RANGE;
    }

  /* Anti-ranges that can be represented as ranges should be so.  */
  if (t == VR_ANTI_RANGE)
    {
      bool is_min = vrp_val_is_min (min);
      bool is_max = vrp_val_is_max (max);

      if (is_min && is_max)
	{
	  /* We cannot deal with empty ranges, drop to varying.
	     ???  This could be VR_UNDEFINED instead.  */
	  set_value_range_to_varying (vr);
	  return;
	}
      else if (TYPE_PRECISION (TREE_TYPE (min)) == 1
	       && (is_min || is_max))
	{
	  /* Non-empty boolean ranges can always be represented
	     as a singleton range.  */
	  if (is_min)
	    min = max = vrp_val_max (TREE_TYPE (min));
	  else
	    min = max = vrp_val_min (TREE_TYPE (min));
	  t = VR_RANGE;
	}
      else if (is_min
	       /* As a special exception preserve non-null ranges.  */
	       && !(TYPE_UNSIGNED (TREE_TYPE (min))
		    && integer_zerop (max)))
        {
	  tree one = build_int_cst (TREE_TYPE (max), 1);
	  min = int_const_binop (PLUS_EXPR, max, one);
	  max = vrp_val_max (TREE_TYPE (max));
	  t = VR_RANGE;
        }
      else if (is_max)
        {
	  tree one = build_int_cst (TREE_TYPE (min), 1);
	  max = int_const_binop (MINUS_EXPR, min, one);
	  min = vrp_val_min (TREE_TYPE (min));
	  t = VR_RANGE;
        }
    }

  /* Drop [-INF(OVF), +INF(OVF)] to varying.  */
  if (needs_overflow_infinity (TREE_TYPE (min))
      && is_overflow_infinity (min)
      && is_overflow_infinity (max))
    {
      set_value_range_to_varying (vr);
      return;
    }

  set_value_range (vr, t, min, max, equiv);
}

/* Copy value range FROM into value range TO.  */

static inline void
copy_value_range (value_range_t *to, value_range_t *from)
{
  set_value_range (to, from->type, from->min, from->max, from->equiv);
}

/* Set value range VR to a single value.  This function is only called
   with values we get from statements, and exists to clear the
   TREE_OVERFLOW flag so that we don't think we have an overflow
   infinity when we shouldn't.  */

static inline void
set_value_range_to_value (value_range_t *vr, tree val, bitmap equiv)
{
  gcc_assert (is_gimple_min_invariant (val));
  if (TREE_OVERFLOW_P (val))
    val = drop_tree_overflow (val);
  set_value_range (vr, VR_RANGE, val, val, equiv);
}

/* Set value range VR to a non-negative range of type TYPE.
   OVERFLOW_INFINITY indicates whether to use an overflow infinity
   rather than TYPE_MAX_VALUE; this should be true if we determine
   that the range is nonnegative based on the assumption that signed
   overflow does not occur.  */

static inline void
set_value_range_to_nonnegative (value_range_t *vr, tree type,
				bool overflow_infinity)
{
  tree zero;

  if (overflow_infinity && !supports_overflow_infinity (type))
    {
      set_value_range_to_varying (vr);
      return;
    }

  zero = build_int_cst (type, 0);
  set_value_range (vr, VR_RANGE, zero,
		   (overflow_infinity
		    ? positive_overflow_infinity (type)
		    : TYPE_MAX_VALUE (type)),
		   vr->equiv);
}

/* Set value range VR to a non-NULL range of type TYPE.  */

static inline void
set_value_range_to_nonnull (value_range_t *vr, tree type)
{
  tree zero = build_int_cst (type, 0);
  set_value_range (vr, VR_ANTI_RANGE, zero, zero, vr->equiv);
}


/* Set value range VR to a NULL range of type TYPE.  */

static inline void
set_value_range_to_null (value_range_t *vr, tree type)
{
  set_value_range_to_value (vr, build_int_cst (type, 0), vr->equiv);
}


/* Set value range VR to a range of a truthvalue of type TYPE.  */

static inline void
set_value_range_to_truthvalue (value_range_t *vr, tree type)
{
  if (TYPE_PRECISION (type) == 1)
    set_value_range_to_varying (vr);
  else
    set_value_range (vr, VR_RANGE,
		     build_int_cst (type, 0), build_int_cst (type, 1),
		     vr->equiv);
}


/* If abs (min) < abs (max), set VR to [-max, max], if
   abs (min) >= abs (max), set VR to [-min, min].  */

static void
abs_extent_range (value_range_t *vr, tree min, tree max)
{
  int cmp;

  gcc_assert (TREE_CODE (min) == INTEGER_CST);
  gcc_assert (TREE_CODE (max) == INTEGER_CST);
  gcc_assert (INTEGRAL_TYPE_P (TREE_TYPE (min)));
  gcc_assert (!TYPE_UNSIGNED (TREE_TYPE (min)));
  min = fold_unary (ABS_EXPR, TREE_TYPE (min), min);
  max = fold_unary (ABS_EXPR, TREE_TYPE (max), max);
  if (TREE_OVERFLOW (min) || TREE_OVERFLOW (max))
    {
      set_value_range_to_varying (vr);
      return;
    }
  cmp = compare_values (min, max);
  if (cmp == -1)
    min = fold_unary (NEGATE_EXPR, TREE_TYPE (min), max);
  else if (cmp == 0 || cmp == 1)
    {
      max = min;
      min = fold_unary (NEGATE_EXPR, TREE_TYPE (min), min);
    }
  else
    {
      set_value_range_to_varying (vr);
      return;
    }
  set_and_canonicalize_value_range (vr, VR_RANGE, min, max, NULL);
}


/* Return value range information for VAR.

   If we have no values ranges recorded (ie, VRP is not running), then
   return NULL.  Otherwise create an empty range if none existed for VAR.  */

static value_range_t *
get_value_range (const_tree var)
{
  static const struct value_range_d vr_const_varying
    = { VR_VARYING, NULL_TREE, NULL_TREE, NULL };
  value_range_t *vr;
  tree sym;
  unsigned ver = SSA_NAME_VERSION (var);

  /* If we have no recorded ranges, then return NULL.  */
  if (! vr_value)
    return NULL;

  /* If we query the range for a new SSA name return an unmodifiable VARYING.
     We should get here at most from the substitute-and-fold stage which
     will never try to change values.  */
  if (ver >= num_vr_values)
    return CONST_CAST (value_range_t *, &vr_const_varying);

  vr = vr_value[ver];
  if (vr)
    return vr;

  /* After propagation finished do not allocate new value-ranges.  */
  if (values_propagated)
    return CONST_CAST (value_range_t *, &vr_const_varying);

  /* Create a default value range.  */
  vr_value[ver] = vr = XCNEW (value_range_t);

  /* Defer allocating the equivalence set.  */
  vr->equiv = NULL;

  /* If VAR is a default definition of a parameter, the variable can
     take any value in VAR's type.  */
  if (SSA_NAME_IS_DEFAULT_DEF (var))
    {
      sym = SSA_NAME_VAR (var);
      if (TREE_CODE (sym) == PARM_DECL)
	{
	  /* Try to use the "nonnull" attribute to create ~[0, 0]
	     anti-ranges for pointers.  Note that this is only valid with
	     default definitions of PARM_DECLs.  */
	  if (POINTER_TYPE_P (TREE_TYPE (sym))
	      && nonnull_arg_p (sym))
	    set_value_range_to_nonnull (vr, TREE_TYPE (sym));
	  else
	    set_value_range_to_varying (vr);
	}
      else if (TREE_CODE (sym) == RESULT_DECL
	       && DECL_BY_REFERENCE (sym))
	set_value_range_to_nonnull (vr, TREE_TYPE (sym));
    }

  return vr;
}

/* Return true, if VAL1 and VAL2 are equal values for VRP purposes.  */

static inline bool
vrp_operand_equal_p (const_tree val1, const_tree val2)
{
  if (val1 == val2)
    return true;
  if (!val1 || !val2 || !operand_equal_p (val1, val2, 0))
    return false;
  if (is_overflow_infinity (val1))
    return is_overflow_infinity (val2);
  return true;
}

/* Return true, if the bitmaps B1 and B2 are equal.  */

static inline bool
vrp_bitmap_equal_p (const_bitmap b1, const_bitmap b2)
{
  return (b1 == b2
	  || ((!b1 || bitmap_empty_p (b1))
	      && (!b2 || bitmap_empty_p (b2)))
	  || (b1 && b2
	      && bitmap_equal_p (b1, b2)));
}

/* Update the value range and equivalence set for variable VAR to
   NEW_VR.  Return true if NEW_VR is different from VAR's previous
   value.

   NOTE: This function assumes that NEW_VR is a temporary value range
   object created for the sole purpose of updating VAR's range.  The
   storage used by the equivalence set from NEW_VR will be freed by
   this function.  Do not call update_value_range when NEW_VR
   is the range object associated with another SSA name.  */

static inline bool
update_value_range (const_tree var, value_range_t *new_vr)
{
  value_range_t *old_vr;
  bool is_new;

  /* Update the value range, if necessary.  */
  old_vr = get_value_range (var);
  is_new = old_vr->type != new_vr->type
	   || !vrp_operand_equal_p (old_vr->min, new_vr->min)
	   || !vrp_operand_equal_p (old_vr->max, new_vr->max)
	   || !vrp_bitmap_equal_p (old_vr->equiv, new_vr->equiv);

  if (is_new)
    {
      /* Do not allow transitions up the lattice.  The following
         is slightly more awkward than just new_vr->type < old_vr->type
	 because VR_RANGE and VR_ANTI_RANGE need to be considered
	 the same.  We may not have is_new when transitioning to
	 UNDEFINED or from VARYING.  */
      if (new_vr->type == VR_UNDEFINED
	  || old_vr->type == VR_VARYING)
	set_value_range_to_varying (old_vr);
      else
	set_value_range (old_vr, new_vr->type, new_vr->min, new_vr->max,
			 new_vr->equiv);
    }

  BITMAP_FREE (new_vr->equiv);

  return is_new;
}


/* Add VAR and VAR's equivalence set to EQUIV.  This is the central
   point where equivalence processing can be turned on/off.  */

static void
add_equivalence (bitmap *equiv, const_tree var)
{
  unsigned ver = SSA_NAME_VERSION (var);
  value_range_t *vr = vr_value[ver];

  if (*equiv == NULL)
    *equiv = BITMAP_ALLOC (NULL);
  bitmap_set_bit (*equiv, ver);
  if (vr && vr->equiv)
    bitmap_ior_into (*equiv, vr->equiv);
}


/* Return true if VR is ~[0, 0].  */

static inline bool
range_is_nonnull (value_range_t *vr)
{
  return vr->type == VR_ANTI_RANGE
	 && integer_zerop (vr->min)
	 && integer_zerop (vr->max);
}


/* Return true if VR is [0, 0].  */

static inline bool
range_is_null (value_range_t *vr)
{
  return vr->type == VR_RANGE
	 && integer_zerop (vr->min)
	 && integer_zerop (vr->max);
}

/* Return true if max and min of VR are INTEGER_CST.  It's not necessary
   a singleton.  */

static inline bool
range_int_cst_p (value_range_t *vr)
{
  return (vr->type == VR_RANGE
	  && TREE_CODE (vr->max) == INTEGER_CST
	  && TREE_CODE (vr->min) == INTEGER_CST);
}

/* Return true if VR is a INTEGER_CST singleton.  */

static inline bool
range_int_cst_singleton_p (value_range_t *vr)
{
  return (range_int_cst_p (vr)
	  && !is_overflow_infinity (vr->min)
	  && !is_overflow_infinity (vr->max)
	  && tree_int_cst_equal (vr->min, vr->max));
}

/* Return true if value range VR involves at least one symbol.  */

static inline bool
symbolic_range_p (value_range_t *vr)
{
  return (!is_gimple_min_invariant (vr->min)
          || !is_gimple_min_invariant (vr->max));
}

/* Return true if value range VR uses an overflow infinity.  */

static inline bool
overflow_infinity_range_p (value_range_t *vr)
{
  return (vr->type == VR_RANGE
	  && (is_overflow_infinity (vr->min)
	      || is_overflow_infinity (vr->max)));
}

/* Return false if we can not make a valid comparison based on VR;
   this will be the case if it uses an overflow infinity and overflow
   is not undefined (i.e., -fno-strict-overflow is in effect).
   Otherwise return true, and set *STRICT_OVERFLOW_P to true if VR
   uses an overflow infinity.  */

static bool
usable_range_p (value_range_t *vr, bool *strict_overflow_p)
{
  gcc_assert (vr->type == VR_RANGE);
  if (is_overflow_infinity (vr->min))
    {
      *strict_overflow_p = true;
      if (!TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (vr->min)))
	return false;
    }
  if (is_overflow_infinity (vr->max))
    {
      *strict_overflow_p = true;
      if (!TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (vr->max)))
	return false;
    }
  return true;
}


/* Return true if the result of assignment STMT is know to be non-negative.
   If the return value is based on the assumption that signed overflow is
   undefined, set *STRICT_OVERFLOW_P to true; otherwise, don't change
   *STRICT_OVERFLOW_P.*/

static bool
gimple_assign_nonnegative_warnv_p (gimple stmt, bool *strict_overflow_p)
{
  enum tree_code code = gimple_assign_rhs_code (stmt);
  switch (get_gimple_rhs_class (code))
    {
    case GIMPLE_UNARY_RHS:
      return tree_unary_nonnegative_warnv_p (gimple_assign_rhs_code (stmt),
					     gimple_expr_type (stmt),
					     gimple_assign_rhs1 (stmt),
					     strict_overflow_p);
    case GIMPLE_BINARY_RHS:
      return tree_binary_nonnegative_warnv_p (gimple_assign_rhs_code (stmt),
					      gimple_expr_type (stmt),
					      gimple_assign_rhs1 (stmt),
					      gimple_assign_rhs2 (stmt),
					      strict_overflow_p);
    case GIMPLE_TERNARY_RHS:
      return false;
    case GIMPLE_SINGLE_RHS:
      return tree_single_nonnegative_warnv_p (gimple_assign_rhs1 (stmt),
					      strict_overflow_p);
    case GIMPLE_INVALID_RHS:
      gcc_unreachable ();
    default:
      gcc_unreachable ();
    }
}

/* Return true if return value of call STMT is know to be non-negative.
   If the return value is based on the assumption that signed overflow is
   undefined, set *STRICT_OVERFLOW_P to true; otherwise, don't change
   *STRICT_OVERFLOW_P.*/

static bool
gimple_call_nonnegative_warnv_p (gimple stmt, bool *strict_overflow_p)
{
  tree arg0 = gimple_call_num_args (stmt) > 0 ?
    gimple_call_arg (stmt, 0) : NULL_TREE;
  tree arg1 = gimple_call_num_args (stmt) > 1 ?
    gimple_call_arg (stmt, 1) : NULL_TREE;

  return tree_call_nonnegative_warnv_p (gimple_expr_type (stmt),
					gimple_call_fndecl (stmt),
					arg0,
					arg1,
					strict_overflow_p);
}

/* Return true if STMT is know to to compute a non-negative value.
   If the return value is based on the assumption that signed overflow is
   undefined, set *STRICT_OVERFLOW_P to true; otherwise, don't change
   *STRICT_OVERFLOW_P.*/

static bool
gimple_stmt_nonnegative_warnv_p (gimple stmt, bool *strict_overflow_p)
{
  switch (gimple_code (stmt))
    {
    case GIMPLE_ASSIGN:
      return gimple_assign_nonnegative_warnv_p (stmt, strict_overflow_p);
    case GIMPLE_CALL:
      return gimple_call_nonnegative_warnv_p (stmt, strict_overflow_p);
    default:
      gcc_unreachable ();
    }
}

/* Return true if the result of assignment STMT is know to be non-zero.
   If the return value is based on the assumption that signed overflow is
   undefined, set *STRICT_OVERFLOW_P to true; otherwise, don't change
   *STRICT_OVERFLOW_P.*/

static bool
gimple_assign_nonzero_warnv_p (gimple stmt, bool *strict_overflow_p)
{
  enum tree_code code = gimple_assign_rhs_code (stmt);
  switch (get_gimple_rhs_class (code))
    {
    case GIMPLE_UNARY_RHS:
      return tree_unary_nonzero_warnv_p (gimple_assign_rhs_code (stmt),
					 gimple_expr_type (stmt),
					 gimple_assign_rhs1 (stmt),
					 strict_overflow_p);
    case GIMPLE_BINARY_RHS:
      return tree_binary_nonzero_warnv_p (gimple_assign_rhs_code (stmt),
					  gimple_expr_type (stmt),
					  gimple_assign_rhs1 (stmt),
					  gimple_assign_rhs2 (stmt),
					  strict_overflow_p);
    case GIMPLE_TERNARY_RHS:
      return false;
    case GIMPLE_SINGLE_RHS:
      return tree_single_nonzero_warnv_p (gimple_assign_rhs1 (stmt),
					  strict_overflow_p);
    case GIMPLE_INVALID_RHS:
      gcc_unreachable ();
    default:
      gcc_unreachable ();
    }
}

/* Return true if STMT is known to compute a non-zero value.
   If the return value is based on the assumption that signed overflow is
   undefined, set *STRICT_OVERFLOW_P to true; otherwise, don't change
   *STRICT_OVERFLOW_P.*/

static bool
gimple_stmt_nonzero_warnv_p (gimple stmt, bool *strict_overflow_p)
{
  switch (gimple_code (stmt))
    {
    case GIMPLE_ASSIGN:
      return gimple_assign_nonzero_warnv_p (stmt, strict_overflow_p);
    case GIMPLE_CALL:
      {
	tree fndecl = gimple_call_fndecl (stmt);
	if (!fndecl) return false;
	if (flag_delete_null_pointer_checks && !flag_check_new
	    && DECL_IS_OPERATOR_NEW (fndecl)
	    && !TREE_NOTHROW (fndecl))
	  return true;
	if (flag_delete_null_pointer_checks && 
	    lookup_attribute ("returns_nonnull",
			      TYPE_ATTRIBUTES (gimple_call_fntype (stmt))))
	  return true;
	return gimple_alloca_call_p (stmt);
      }
    default:
      gcc_unreachable ();
    }
}

/* Like tree_expr_nonzero_warnv_p, but this function uses value ranges
   obtained so far.  */

static bool
vrp_stmt_computes_nonzero (gimple stmt, bool *strict_overflow_p)
{
  if (gimple_stmt_nonzero_warnv_p (stmt, strict_overflow_p))
    return true;

  /* If we have an expression of the form &X->a, then the expression
     is nonnull if X is nonnull.  */
  if (is_gimple_assign (stmt)
      && gimple_assign_rhs_code (stmt) == ADDR_EXPR)
    {
      tree expr = gimple_assign_rhs1 (stmt);
      tree base = get_base_address (TREE_OPERAND (expr, 0));

      if (base != NULL_TREE
	  && TREE_CODE (base) == MEM_REF
	  && TREE_CODE (TREE_OPERAND (base, 0)) == SSA_NAME)
	{
	  value_range_t *vr = get_value_range (TREE_OPERAND (base, 0));
	  if (range_is_nonnull (vr))
	    return true;
	}
    }

  return false;
}

/* Returns true if EXPR is a valid value (as expected by compare_values) --
   a gimple invariant, or SSA_NAME +- CST.  */

static bool
valid_value_p (tree expr)
{
  if (TREE_CODE (expr) == SSA_NAME)
    return true;

  if (TREE_CODE (expr) == PLUS_EXPR
      || TREE_CODE (expr) == MINUS_EXPR)
    return (TREE_CODE (TREE_OPERAND (expr, 0)) == SSA_NAME
	    && TREE_CODE (TREE_OPERAND (expr, 1)) == INTEGER_CST);

  return is_gimple_min_invariant (expr);
}

/* Return
   1 if VAL < VAL2
   0 if !(VAL < VAL2)
   -2 if those are incomparable.  */
static inline int
operand_less_p (tree val, tree val2)
{
  /* LT is folded faster than GE and others.  Inline the common case.  */
  if (TREE_CODE (val) == INTEGER_CST && TREE_CODE (val2) == INTEGER_CST)
    {
      if (TYPE_UNSIGNED (TREE_TYPE (val)))
	return INT_CST_LT_UNSIGNED (val, val2);
      else
	{
	  if (INT_CST_LT (val, val2))
	    return 1;
	}
    }
  else
    {
      tree tcmp;

      fold_defer_overflow_warnings ();

      tcmp = fold_binary_to_constant (LT_EXPR, boolean_type_node, val, val2);

      fold_undefer_and_ignore_overflow_warnings ();

      if (!tcmp
	  || TREE_CODE (tcmp) != INTEGER_CST)
	return -2;

      if (!integer_zerop (tcmp))
	return 1;
    }

  /* val >= val2, not considering overflow infinity.  */
  if (is_negative_overflow_infinity (val))
    return is_negative_overflow_infinity (val2) ? 0 : 1;
  else if (is_positive_overflow_infinity (val2))
    return is_positive_overflow_infinity (val) ? 0 : 1;

  return 0;
}

/* Compare two values VAL1 and VAL2.  Return

   	-2 if VAL1 and VAL2 cannot be compared at compile-time,
   	-1 if VAL1 < VAL2,
   	 0 if VAL1 == VAL2,
	+1 if VAL1 > VAL2, and
	+2 if VAL1 != VAL2

   This is similar to tree_int_cst_compare but supports pointer values
   and values that cannot be compared at compile time.

   If STRICT_OVERFLOW_P is not NULL, then set *STRICT_OVERFLOW_P to
   true if the return value is only valid if we assume that signed
   overflow is undefined.  */

static int
compare_values_warnv (tree val1, tree val2, bool *strict_overflow_p)
{
  if (val1 == val2)
    return 0;

  /* Below we rely on the fact that VAL1 and VAL2 are both pointers or
     both integers.  */
  gcc_assert (POINTER_TYPE_P (TREE_TYPE (val1))
	      == POINTER_TYPE_P (TREE_TYPE (val2)));
  /* Convert the two values into the same type.  This is needed because
     sizetype causes sign extension even for unsigned types.  */
  val2 = fold_convert (TREE_TYPE (val1), val2);
  STRIP_USELESS_TYPE_CONVERSION (val2);

  if ((TREE_CODE (val1) == SSA_NAME
       || TREE_CODE (val1) == PLUS_EXPR
       || TREE_CODE (val1) == MINUS_EXPR)
      && (TREE_CODE (val2) == SSA_NAME
	  || TREE_CODE (val2) == PLUS_EXPR
	  || TREE_CODE (val2) == MINUS_EXPR))
    {
      tree n1, c1, n2, c2;
      enum tree_code code1, code2;

      /* If VAL1 and VAL2 are of the form 'NAME [+-] CST' or 'NAME',
	 return -1 or +1 accordingly.  If VAL1 and VAL2 don't use the
	 same name, return -2.  */
      if (TREE_CODE (val1) == SSA_NAME)
	{
	  code1 = SSA_NAME;
	  n1 = val1;
	  c1 = NULL_TREE;
	}
      else
	{
	  code1 = TREE_CODE (val1);
	  n1 = TREE_OPERAND (val1, 0);
	  c1 = TREE_OPERAND (val1, 1);
	  if (tree_int_cst_sgn (c1) == -1)
	    {
	      if (is_negative_overflow_infinity (c1))
		return -2;
	      c1 = fold_unary_to_constant (NEGATE_EXPR, TREE_TYPE (c1), c1);
	      if (!c1)
		return -2;
	      code1 = code1 == MINUS_EXPR ? PLUS_EXPR : MINUS_EXPR;
	    }
	}

      if (TREE_CODE (val2) == SSA_NAME)
	{
	  code2 = SSA_NAME;
	  n2 = val2;
	  c2 = NULL_TREE;
	}
      else
	{
	  code2 = TREE_CODE (val2);
	  n2 = TREE_OPERAND (val2, 0);
	  c2 = TREE_OPERAND (val2, 1);
	  if (tree_int_cst_sgn (c2) == -1)
	    {
	      if (is_negative_overflow_infinity (c2))
		return -2;
	      c2 = fold_unary_to_constant (NEGATE_EXPR, TREE_TYPE (c2), c2);
	      if (!c2)
		return -2;
	      code2 = code2 == MINUS_EXPR ? PLUS_EXPR : MINUS_EXPR;
	    }
	}

      /* Both values must use the same name.  */
      if (n1 != n2)
	return -2;

      if (code1 == SSA_NAME
	  && code2 == SSA_NAME)
	/* NAME == NAME  */
	return 0;

      /* If overflow is defined we cannot simplify more.  */
      if (!TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (val1)))
	return -2;

      if (strict_overflow_p != NULL
	  && (code1 == SSA_NAME || !TREE_NO_WARNING (val1))
	  && (code2 == SSA_NAME || !TREE_NO_WARNING (val2)))
	*strict_overflow_p = true;

      if (code1 == SSA_NAME)
	{
	  if (code2 == PLUS_EXPR)
	    /* NAME < NAME + CST  */
	    return -1;
	  else if (code2 == MINUS_EXPR)
	    /* NAME > NAME - CST  */
	    return 1;
	}
      else if (code1 == PLUS_EXPR)
	{
	  if (code2 == SSA_NAME)
	    /* NAME + CST > NAME  */
	    return 1;
	  else if (code2 == PLUS_EXPR)
	    /* NAME + CST1 > NAME + CST2, if CST1 > CST2  */
	    return compare_values_warnv (c1, c2, strict_overflow_p);
	  else if (code2 == MINUS_EXPR)
	    /* NAME + CST1 > NAME - CST2  */
	    return 1;
	}
      else if (code1 == MINUS_EXPR)
	{
	  if (code2 == SSA_NAME)
	    /* NAME - CST < NAME  */
	    return -1;
	  else if (code2 == PLUS_EXPR)
	    /* NAME - CST1 < NAME + CST2  */
	    return -1;
	  else if (code2 == MINUS_EXPR)
	    /* NAME - CST1 > NAME - CST2, if CST1 < CST2.  Notice that
	       C1 and C2 are swapped in the call to compare_values.  */
	    return compare_values_warnv (c2, c1, strict_overflow_p);
	}

      gcc_unreachable ();
    }

  /* We cannot compare non-constants.  */
  if (!is_gimple_min_invariant (val1) || !is_gimple_min_invariant (val2))
    return -2;

  if (!POINTER_TYPE_P (TREE_TYPE (val1)))
    {
      /* We cannot compare overflowed values, except for overflow
	 infinities.  */
      if (TREE_OVERFLOW (val1) || TREE_OVERFLOW (val2))
	{
	  if (strict_overflow_p != NULL)
	    *strict_overflow_p = true;
	  if (is_negative_overflow_infinity (val1))
	    return is_negative_overflow_infinity (val2) ? 0 : -1;
	  else if (is_negative_overflow_infinity (val2))
	    return 1;
	  else if (is_positive_overflow_infinity (val1))
	    return is_positive_overflow_infinity (val2) ? 0 : 1;
	  else if (is_positive_overflow_infinity (val2))
	    return -1;
	  return -2;
	}

      return tree_int_cst_compare (val1, val2);
    }
  else
    {
      tree t;

      /* First see if VAL1 and VAL2 are not the same.  */
      if (val1 == val2 || operand_equal_p (val1, val2, 0))
	return 0;

      /* If VAL1 is a lower address than VAL2, return -1.  */
      if (operand_less_p (val1, val2) == 1)
	return -1;

      /* If VAL1 is a higher address than VAL2, return +1.  */
      if (operand_less_p (val2, val1) == 1)
	return 1;

      /* If VAL1 is different than VAL2, return +2.
	 For integer constants we either have already returned -1 or 1
	 or they are equivalent.  We still might succeed in proving
	 something about non-trivial operands.  */
      if (TREE_CODE (val1) != INTEGER_CST
	  || TREE_CODE (val2) != INTEGER_CST)
	{
          t = fold_binary_to_constant (NE_EXPR, boolean_type_node, val1, val2);
	  if (t && integer_onep (t))
	    return 2;
	}

      return -2;
    }
}

/* Compare values like compare_values_warnv, but treat comparisons of
   nonconstants which rely on undefined overflow as incomparable.  */

static int
compare_values (tree val1, tree val2)
{
  bool sop;
  int ret;

  sop = false;
  ret = compare_values_warnv (val1, val2, &sop);
  if (sop
      && (!is_gimple_min_invariant (val1) || !is_gimple_min_invariant (val2)))
    ret = -2;
  return ret;
}


/* Return 1 if VAL is inside value range MIN <= VAL <= MAX,
          0 if VAL is not inside [MIN, MAX],
	 -2 if we cannot tell either way.

   Benchmark compile/20001226-1.c compilation time after changing this
   function.  */

static inline int
value_inside_range (tree val, tree min, tree max)
{
  int cmp1, cmp2;

  cmp1 = operand_less_p (val, min);
  if (cmp1 == -2)
    return -2;
  if (cmp1 == 1)
    return 0;

  cmp2 = operand_less_p (max, val);
  if (cmp2 == -2)
    return -2;

  return !cmp2;
}


/* Return true if value ranges VR0 and VR1 have a non-empty
   intersection.

   Benchmark compile/20001226-1.c compilation time after changing this
   function.
   */

static inline bool
value_ranges_intersect_p (value_range_t *vr0, value_range_t *vr1)
{
  /* The value ranges do not intersect if the maximum of the first range is
     less than the minimum of the second range or vice versa.
     When those relations are unknown, we can't do any better.  */
  if (operand_less_p (vr0->max, vr1->min) != 0)
    return false;
  if (operand_less_p (vr1->max, vr0->min) != 0)
    return false;
  return true;
}


/* Return 1 if [MIN, MAX] includes the value zero, 0 if it does not
   include the value zero, -2 if we cannot tell.  */

static inline int
range_includes_zero_p (tree min, tree max)
{
  tree zero = build_int_cst (TREE_TYPE (min), 0);
  return value_inside_range (zero, min, max);
}

/* Return true if *VR is know to only contain nonnegative values.  */

static inline bool
value_range_nonnegative_p (value_range_t *vr)
{
  /* Testing for VR_ANTI_RANGE is not useful here as any anti-range
     which would return a useful value should be encoded as a 
     VR_RANGE.  */
  if (vr->type == VR_RANGE)
    {
      int result = compare_values (vr->min, integer_zero_node);
      return (result == 0 || result == 1);
    }

  return false;
}

/* If *VR has a value rante that is a single constant value return that,
   otherwise return NULL_TREE.  */

static tree
value_range_constant_singleton (value_range_t *vr)
{
  if (vr->type == VR_RANGE
      && operand_equal_p (vr->min, vr->max, 0)
      && is_gimple_min_invariant (vr->min))
    return vr->min;

  return NULL_TREE;
}

/* If OP has a value range with a single constant value return that,
   otherwise return NULL_TREE.  This returns OP itself if OP is a
   constant.  */

static tree
op_with_constant_singleton_value_range (tree op)
{
  if (is_gimple_min_invariant (op))
    return op;

  if (TREE_CODE (op) != SSA_NAME)
    return NULL_TREE;

  return value_range_constant_singleton (get_value_range (op));
}

/* Return true if op is in a boolean [0, 1] value-range.  */

static bool
op_with_boolean_value_range_p (tree op)
{
  value_range_t *vr;

  if (TYPE_PRECISION (TREE_TYPE (op)) == 1)
    return true;

  if (integer_zerop (op)
      || integer_onep (op))
    return true;

  if (TREE_CODE (op) != SSA_NAME)
    return false;

  vr = get_value_range (op);
  return (vr->type == VR_RANGE
	  && integer_zerop (vr->min)
	  && integer_onep (vr->max));
}

/* Extract value range information from an ASSERT_EXPR EXPR and store
   it in *VR_P.  */

static void
extract_range_from_assert (value_range_t *vr_p, tree expr)
{
  tree var, cond, limit, min, max, type;
  value_range_t *limit_vr;
  enum tree_code cond_code;

  var = ASSERT_EXPR_VAR (expr);
  cond = ASSERT_EXPR_COND (expr);

  gcc_assert (COMPARISON_CLASS_P (cond));

  /* Find VAR in the ASSERT_EXPR conditional.  */
  if (var == TREE_OPERAND (cond, 0)
      || TREE_CODE (TREE_OPERAND (cond, 0)) == PLUS_EXPR
      || TREE_CODE (TREE_OPERAND (cond, 0)) == NOP_EXPR)
    {
      /* If the predicate is of the form VAR COMP LIMIT, then we just
	 take LIMIT from the RHS and use the same comparison code.  */
      cond_code = TREE_CODE (cond);
      limit = TREE_OPERAND (cond, 1);
      cond = TREE_OPERAND (cond, 0);
    }
  else
    {
      /* If the predicate is of the form LIMIT COMP VAR, then we need
	 to flip around the comparison code to create the proper range
	 for VAR.  */
      cond_code = swap_tree_comparison (TREE_CODE (cond));
      limit = TREE_OPERAND (cond, 0);
      cond = TREE_OPERAND (cond, 1);
    }

  limit = avoid_overflow_infinity (limit);

  type = TREE_TYPE (var);
  gcc_assert (limit != var);

  /* For pointer arithmetic, we only keep track of pointer equality
     and inequality.  */
  if (POINTER_TYPE_P (type) && cond_code != NE_EXPR && cond_code != EQ_EXPR)
    {
      set_value_range_to_varying (vr_p);
      return;
    }

  /* If LIMIT is another SSA name and LIMIT has a range of its own,
     try to use LIMIT's range to avoid creating symbolic ranges
     unnecessarily. */
  limit_vr = (TREE_CODE (limit) == SSA_NAME) ? get_value_range (limit) : NULL;

  /* LIMIT's range is only interesting if it has any useful information.  */
  if (limit_vr
      && (limit_vr->type == VR_UNDEFINED
	  || limit_vr->type == VR_VARYING
	  || symbolic_range_p (limit_vr)))
    limit_vr = NULL;

  /* Initially, the new range has the same set of equivalences of
     VAR's range.  This will be revised before returning the final
     value.  Since assertions may be chained via mutually exclusive
     predicates, we will need to trim the set of equivalences before
     we are done.  */
  gcc_assert (vr_p->equiv == NULL);
  add_equivalence (&vr_p->equiv, var);

  /* Extract a new range based on the asserted comparison for VAR and
     LIMIT's value range.  Notice that if LIMIT has an anti-range, we
     will only use it for equality comparisons (EQ_EXPR).  For any
     other kind of assertion, we cannot derive a range from LIMIT's
     anti-range that can be used to describe the new range.  For
     instance, ASSERT_EXPR <x_2, x_2 <= b_4>.  If b_4 is ~[2, 10],
     then b_4 takes on the ranges [-INF, 1] and [11, +INF].  There is
     no single range for x_2 that could describe LE_EXPR, so we might
     as well build the range [b_4, +INF] for it.
     One special case we handle is extracting a range from a
     range test encoded as (unsigned)var + CST <= limit.  */
  if (TREE_CODE (cond) == NOP_EXPR
      || TREE_CODE (cond) == PLUS_EXPR)
    {
      if (TREE_CODE (cond) == PLUS_EXPR)
        {
          min = fold_build1 (NEGATE_EXPR, TREE_TYPE (TREE_OPERAND (cond, 1)),
			     TREE_OPERAND (cond, 1));
          max = int_const_binop (PLUS_EXPR, limit, min);
	  cond = TREE_OPERAND (cond, 0);
	}
      else
	{
	  min = build_int_cst (TREE_TYPE (var), 0);
	  max = limit;
	}

      /* Make sure to not set TREE_OVERFLOW on the final type
	 conversion.  We are willingly interpreting large positive
	 unsigned values as negative singed values here.  */
      min = force_fit_type_double (TREE_TYPE (var), tree_to_double_int (min),
				   0, false);
      max = force_fit_type_double (TREE_TYPE (var), tree_to_double_int (max),
				   0, false);

      /* We can transform a max, min range to an anti-range or
         vice-versa.  Use set_and_canonicalize_value_range which does
	 this for us.  */
      if (cond_code == LE_EXPR)
        set_and_canonicalize_value_range (vr_p, VR_RANGE,
					  min, max, vr_p->equiv);
      else if (cond_code == GT_EXPR)
        set_and_canonicalize_value_range (vr_p, VR_ANTI_RANGE,
					  min, max, vr_p->equiv);
      else
	gcc_unreachable ();
    }
  else if (cond_code == EQ_EXPR)
    {
      enum value_range_type range_type;

      if (limit_vr)
	{
	  range_type = limit_vr->type;
	  min = limit_vr->min;
	  max = limit_vr->max;
	}
      else
	{
	  range_type = VR_RANGE;
	  min = limit;
	  max = limit;
	}

      set_value_range (vr_p, range_type, min, max, vr_p->equiv);

      /* When asserting the equality VAR == LIMIT and LIMIT is another
	 SSA name, the new range will also inherit the equivalence set
	 from LIMIT.  */
      if (TREE_CODE (limit) == SSA_NAME)
	add_equivalence (&vr_p->equiv, limit);
    }
  else if (cond_code == NE_EXPR)
    {
      /* As described above, when LIMIT's range is an anti-range and
	 this assertion is an inequality (NE_EXPR), then we cannot
	 derive anything from the anti-range.  For instance, if
	 LIMIT's range was ~[0, 0], the assertion 'VAR != LIMIT' does
	 not imply that VAR's range is [0, 0].  So, in the case of
	 anti-ranges, we just assert the inequality using LIMIT and
	 not its anti-range.

	 If LIMIT_VR is a range, we can only use it to build a new
	 anti-range if LIMIT_VR is a single-valued range.  For
	 instance, if LIMIT_VR is [0, 1], the predicate
	 VAR != [0, 1] does not mean that VAR's range is ~[0, 1].
	 Rather, it means that for value 0 VAR should be ~[0, 0]
	 and for value 1, VAR should be ~[1, 1].  We cannot
	 represent these ranges.

	 The only situation in which we can build a valid
	 anti-range is when LIMIT_VR is a single-valued range
	 (i.e., LIMIT_VR->MIN == LIMIT_VR->MAX).  In that case,
	 build the anti-range ~[LIMIT_VR->MIN, LIMIT_VR->MAX].  */
      if (limit_vr
	  && limit_vr->type == VR_RANGE
	  && compare_values (limit_vr->min, limit_vr->max) == 0)
	{
	  min = limit_vr->min;
	  max = limit_vr->max;
	}
      else
	{
	  /* In any other case, we cannot use LIMIT's range to build a
	     valid anti-range.  */
	  min = max = limit;
	}

      /* If MIN and MAX cover the whole range for their type, then
	 just use the original LIMIT.  */
      if (INTEGRAL_TYPE_P (type)
	  && vrp_val_is_min (min)
	  && vrp_val_is_max (max))
	min = max = limit;

      set_and_canonicalize_value_range (vr_p, VR_ANTI_RANGE,
					min, max, vr_p->equiv);
    }
  else if (cond_code == LE_EXPR || cond_code == LT_EXPR)
    {
      min = TYPE_MIN_VALUE (type);

      if (limit_vr == NULL || limit_vr->type == VR_ANTI_RANGE)
	max = limit;
      else
	{
	  /* If LIMIT_VR is of the form [N1, N2], we need to build the
	     range [MIN, N2] for LE_EXPR and [MIN, N2 - 1] for
	     LT_EXPR.  */
	  max = limit_vr->max;
	}

      /* If the maximum value forces us to be out of bounds, simply punt.
	 It would be pointless to try and do anything more since this
	 all should be optimized away above us.  */
      if ((cond_code == LT_EXPR
	   && compare_values (max, min) == 0)
	  || is_overflow_infinity (max))
	set_value_range_to_varying (vr_p);
      else
	{
	  /* For LT_EXPR, we create the range [MIN, MAX - 1].  */
	  if (cond_code == LT_EXPR)
	    {
	      if (TYPE_PRECISION (TREE_TYPE (max)) == 1
		  && !TYPE_UNSIGNED (TREE_TYPE (max)))
		max = fold_build2 (PLUS_EXPR, TREE_TYPE (max), max,
				   build_int_cst (TREE_TYPE (max), -1));
	      else
		max = fold_build2 (MINUS_EXPR, TREE_TYPE (max), max,
				   build_int_cst (TREE_TYPE (max), 1));
	      if (EXPR_P (max))
		TREE_NO_WARNING (max) = 1;
	    }

	  set_value_range (vr_p, VR_RANGE, min, max, vr_p->equiv);
	}
    }
  else if (cond_code == GE_EXPR || cond_code == GT_EXPR)
    {
      max = TYPE_MAX_VALUE (type);

      if (limit_vr == NULL || limit_vr->type == VR_ANTI_RANGE)
	min = limit;
      else
	{
	  /* If LIMIT_VR is of the form [N1, N2], we need to build the
	     range [N1, MAX] for GE_EXPR and [N1 + 1, MAX] for
	     GT_EXPR.  */
	  min = limit_vr->min;
	}

      /* If the minimum value forces us to be out of bounds, simply punt.
	 It would be pointless to try and do anything more since this
	 all should be optimized away above us.  */
      if ((cond_code == GT_EXPR
	   && compare_values (min, max) == 0)
	  || is_overflow_infinity (min))
	set_value_range_to_varying (vr_p);
      else
	{
	  /* For GT_EXPR, we create the range [MIN + 1, MAX].  */
	  if (cond_code == GT_EXPR)
	    {
	      if (TYPE_PRECISION (TREE_TYPE (min)) == 1
		  && !TYPE_UNSIGNED (TREE_TYPE (min)))
		min = fold_build2 (MINUS_EXPR, TREE_TYPE (min), min,
				   build_int_cst (TREE_TYPE (min), -1));
	      else
		min = fold_build2 (PLUS_EXPR, TREE_TYPE (min), min,
				   build_int_cst (TREE_TYPE (min), 1));
	      if (EXPR_P (min))
		TREE_NO_WARNING (min) = 1;
	    }

	  set_value_range (vr_p, VR_RANGE, min, max, vr_p->equiv);
	}
    }
  else
    gcc_unreachable ();

  /* Finally intersect the new range with what we already know about var.  */
  vrp_intersect_ranges (vr_p, get_value_range (var));
}


/* Extract range information from SSA name VAR and store it in VR.  If
   VAR has an interesting range, use it.  Otherwise, create the
   range [VAR, VAR] and return it.  This is useful in situations where
   we may have conditionals testing values of VARYING names.  For
   instance,

   	x_3 = y_5;
	if (x_3 > y_5)
	  ...

    Even if y_5 is deemed VARYING, we can determine that x_3 > y_5 is
    always false.  */

static void
extract_range_from_ssa_name (value_range_t *vr, tree var)
{
  value_range_t *var_vr = get_value_range (var);

  if (var_vr->type != VR_UNDEFINED && var_vr->type != VR_VARYING)
    copy_value_range (vr, var_vr);
  else
    set_value_range (vr, VR_RANGE, var, var, NULL);

  add_equivalence (&vr->equiv, var);
}


/* Wrapper around int_const_binop.  If the operation overflows and we
   are not using wrapping arithmetic, then adjust the result to be
   -INF or +INF depending on CODE, VAL1 and VAL2.  This can return
   NULL_TREE if we need to use an overflow infinity representation but
   the type does not support it.  */

static tree
vrp_int_const_binop (enum tree_code code, tree val1, tree val2)
{
  tree res;

  res = int_const_binop (code, val1, val2);

  /* If we are using unsigned arithmetic, operate symbolically
     on -INF and +INF as int_const_binop only handles signed overflow.  */
  if (TYPE_UNSIGNED (TREE_TYPE (val1)))
    {
      int checkz = compare_values (res, val1);
      bool overflow = false;

      /* Ensure that res = val1 [+*] val2 >= val1
         or that res = val1 - val2 <= val1.  */
      if ((code == PLUS_EXPR
	   && !(checkz == 1 || checkz == 0))
          || (code == MINUS_EXPR
	      && !(checkz == 0 || checkz == -1)))
	{
	  overflow = true;
	}
      /* Checking for multiplication overflow is done by dividing the
	 output of the multiplication by the first input of the
	 multiplication.  If the result of that division operation is
	 not equal to the second input of the multiplication, then the
	 multiplication overflowed.  */
      else if (code == MULT_EXPR && !integer_zerop (val1))
	{
	  tree tmp = int_const_binop (TRUNC_DIV_EXPR,
				      res,
				      val1);
	  int check = compare_values (tmp, val2);

	  if (check != 0)
	    overflow = true;
	}

      if (overflow)
	{
	  res = copy_node (res);
	  TREE_OVERFLOW (res) = 1;
	}

    }
  else if (TYPE_OVERFLOW_WRAPS (TREE_TYPE (val1)))
    /* If the singed operation wraps then int_const_binop has done
       everything we want.  */
    ;
  else if ((TREE_OVERFLOW (res)
	    && !TREE_OVERFLOW (val1)
	    && !TREE_OVERFLOW (val2))
	   || is_overflow_infinity (val1)
	   || is_overflow_infinity (val2))
    {
      /* If the operation overflowed but neither VAL1 nor VAL2 are
	 overflown, return -INF or +INF depending on the operation
	 and the combination of signs of the operands.  */
      int sgn1 = tree_int_cst_sgn (val1);
      int sgn2 = tree_int_cst_sgn (val2);

      if (needs_overflow_infinity (TREE_TYPE (res))
	  && !supports_overflow_infinity (TREE_TYPE (res)))
	return NULL_TREE;

      /* We have to punt on adding infinities of different signs,
	 since we can't tell what the sign of the result should be.
	 Likewise for subtracting infinities of the same sign.  */
      if (((code == PLUS_EXPR && sgn1 != sgn2)
	   || (code == MINUS_EXPR && sgn1 == sgn2))
	  && is_overflow_infinity (val1)
	  && is_overflow_infinity (val2))
	return NULL_TREE;

      /* Don't try to handle division or shifting of infinities.  */
      if ((code == TRUNC_DIV_EXPR
	   || code == FLOOR_DIV_EXPR
	   || code == CEIL_DIV_EXPR
	   || code == EXACT_DIV_EXPR
	   || code == ROUND_DIV_EXPR
	   || code == RSHIFT_EXPR)
	  && (is_overflow_infinity (val1)
	      || is_overflow_infinity (val2)))
	return NULL_TREE;

      /* Notice that we only need to handle the restricted set of
	 operations handled by extract_range_from_binary_expr.
	 Among them, only multiplication, addition and subtraction
	 can yield overflow without overflown operands because we
	 are working with integral types only... except in the
	 case VAL1 = -INF and VAL2 = -1 which overflows to +INF
	 for division too.  */

      /* For multiplication, the sign of the overflow is given
	 by the comparison of the signs of the operands.  */
      if ((code == MULT_EXPR && sgn1 == sgn2)
          /* For addition, the operands must be of the same sign
	     to yield an overflow.  Its sign is therefore that
	     of one of the operands, for example the first.  For
	     infinite operands X + -INF is negative, not positive.  */
	  || (code == PLUS_EXPR
	      && (sgn1 >= 0
		  ? !is_negative_overflow_infinity (val2)
		  : is_positive_overflow_infinity (val2)))
	  /* For subtraction, non-infinite operands must be of
	     different signs to yield an overflow.  Its sign is
	     therefore that of the first operand or the opposite of
	     that of the second operand.  A first operand of 0 counts
	     as positive here, for the corner case 0 - (-INF), which
	     overflows, but must yield +INF.  For infinite operands 0
	     - INF is negative, not positive.  */
	  || (code == MINUS_EXPR
	      && (sgn1 >= 0
		  ? !is_positive_overflow_infinity (val2)
		  : is_negative_overflow_infinity (val2)))
	  /* We only get in here with positive shift count, so the
	     overflow direction is the same as the sign of val1.
	     Actually rshift does not overflow at all, but we only
	     handle the case of shifting overflowed -INF and +INF.  */
	  || (code == RSHIFT_EXPR
	      && sgn1 >= 0)
	  /* For division, the only case is -INF / -1 = +INF.  */
	  || code == TRUNC_DIV_EXPR
	  || code == FLOOR_DIV_EXPR
	  || code == CEIL_DIV_EXPR
	  || code == EXACT_DIV_EXPR
	  || code == ROUND_DIV_EXPR)
	return (needs_overflow_infinity (TREE_TYPE (res))
		? positive_overflow_infinity (TREE_TYPE (res))
		: TYPE_MAX_VALUE (TREE_TYPE (res)));
      else
	return (needs_overflow_infinity (TREE_TYPE (res))
		? negative_overflow_infinity (TREE_TYPE (res))
		: TYPE_MIN_VALUE (TREE_TYPE (res)));
    }

  return res;
}


/* For range VR compute two double_int bitmasks.  In *MAY_BE_NONZERO
   bitmask if some bit is unset, it means for all numbers in the range
   the bit is 0, otherwise it might be 0 or 1.  In *MUST_BE_NONZERO
   bitmask if some bit is set, it means for all numbers in the range
   the bit is 1, otherwise it might be 0 or 1.  */

static bool
zero_nonzero_bits_from_vr (value_range_t *vr,
			   double_int *may_be_nonzero,
			   double_int *must_be_nonzero)
{
  *may_be_nonzero = double_int_minus_one;
  *must_be_nonzero = double_int_zero;
  if (!range_int_cst_p (vr)
      || is_overflow_infinity (vr->min)
      || is_overflow_infinity (vr->max))
    return false;

  if (range_int_cst_singleton_p (vr))
    {
      *may_be_nonzero = tree_to_double_int (vr->min);
      *must_be_nonzero = *may_be_nonzero;
    }
  else if (tree_int_cst_sgn (vr->min) >= 0
	   || tree_int_cst_sgn (vr->max) < 0)
    {
      double_int dmin = tree_to_double_int (vr->min);
      double_int dmax = tree_to_double_int (vr->max);
      double_int xor_mask = dmin ^ dmax;
      *may_be_nonzero = dmin | dmax;
      *must_be_nonzero = dmin & dmax;
      if (xor_mask.high != 0)
	{
	  unsigned HOST_WIDE_INT mask
	      = ((unsigned HOST_WIDE_INT) 1
		 << floor_log2 (xor_mask.high)) - 1;
	  may_be_nonzero->low = ALL_ONES;
	  may_be_nonzero->high |= mask;
	  must_be_nonzero->low = 0;
	  must_be_nonzero->high &= ~mask;
	}
      else if (xor_mask.low != 0)
	{
	  unsigned HOST_WIDE_INT mask
	      = ((unsigned HOST_WIDE_INT) 1
		 << floor_log2 (xor_mask.low)) - 1;
	  may_be_nonzero->low |= mask;
	  must_be_nonzero->low &= ~mask;
	}
    }

  return true;
}

/* Create two value-ranges in *VR0 and *VR1 from the anti-range *AR
   so that *VR0 U *VR1 == *AR.  Returns true if that is possible,
   false otherwise.  If *AR can be represented with a single range
   *VR1 will be VR_UNDEFINED.  */

static bool
ranges_from_anti_range (value_range_t *ar,
			value_range_t *vr0, value_range_t *vr1)
{
  tree type = TREE_TYPE (ar->min);

  vr0->type = VR_UNDEFINED;
  vr1->type = VR_UNDEFINED;

  if (ar->type != VR_ANTI_RANGE
      || TREE_CODE (ar->min) != INTEGER_CST
      || TREE_CODE (ar->max) != INTEGER_CST
      || !vrp_val_min (type)
      || !vrp_val_max (type))
    return false;

  if (!vrp_val_is_min (ar->min))
    {
      vr0->type = VR_RANGE;
      vr0->min = vrp_val_min (type);
      vr0->max
	= double_int_to_tree (type,
			      tree_to_double_int (ar->min) - double_int_one);
    }
  if (!vrp_val_is_max (ar->max))
    {
      vr1->type = VR_RANGE;
      vr1->min
	= double_int_to_tree (type,
			      tree_to_double_int (ar->max) + double_int_one);
      vr1->max = vrp_val_max (type);
    }
  if (vr0->type == VR_UNDEFINED)
    {
      *vr0 = *vr1;
      vr1->type = VR_UNDEFINED;
    }

  return vr0->type != VR_UNDEFINED;
}

/* Helper to extract a value-range *VR for a multiplicative operation
   *VR0 CODE *VR1.  */

static void
extract_range_from_multiplicative_op_1 (value_range_t *vr,
					enum tree_code code,
					value_range_t *vr0, value_range_t *vr1)
{
  enum value_range_type type;
  tree val[4];
  size_t i;
  tree min, max;
  bool sop;
  int cmp;

  /* Multiplications, divisions and shifts are a bit tricky to handle,
     depending on the mix of signs we have in the two ranges, we
     need to operate on different values to get the minimum and
     maximum values for the new range.  One approach is to figure
     out all the variations of range combinations and do the
     operations.

     However, this involves several calls to compare_values and it
     is pretty convoluted.  It's simpler to do the 4 operations
     (MIN0 OP MIN1, MIN0 OP MAX1, MAX0 OP MIN1 and MAX0 OP MAX0 OP
     MAX1) and then figure the smallest and largest values to form
     the new range.  */
  gcc_assert (code == MULT_EXPR
	      || code == TRUNC_DIV_EXPR
	      || code == FLOOR_DIV_EXPR
	      || code == CEIL_DIV_EXPR
	      || code == EXACT_DIV_EXPR
	      || code == ROUND_DIV_EXPR
	      || code == RSHIFT_EXPR
	      || code == LSHIFT_EXPR);
  gcc_assert ((vr0->type == VR_RANGE
	       || (code == MULT_EXPR && vr0->type == VR_ANTI_RANGE))
	      && vr0->type == vr1->type);

  type = vr0->type;

  /* Compute the 4 cross operations.  */
  sop = false;
  val[0] = vrp_int_const_binop (code, vr0->min, vr1->min);
  if (val[0] == NULL_TREE)
    sop = true;

  if (vr1->max == vr1->min)
    val[1] = NULL_TREE;
  else
    {
      val[1] = vrp_int_const_binop (code, vr0->min, vr1->max);
      if (val[1] == NULL_TREE)
	sop = true;
    }

  if (vr0->max == vr0->min)
    val[2] = NULL_TREE;
  else
    {
      val[2] = vrp_int_const_binop (code, vr0->max, vr1->min);
      if (val[2] == NULL_TREE)
	sop = true;
    }

  if (vr0->min == vr0->max || vr1->min == vr1->max)
    val[3] = NULL_TREE;
  else
    {
      val[3] = vrp_int_const_binop (code, vr0->max, vr1->max);
      if (val[3] == NULL_TREE)
	sop = true;
    }

  if (sop)
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* Set MIN to the minimum of VAL[i] and MAX to the maximum
     of VAL[i].  */
  min = val[0];
  max = val[0];
  for (i = 1; i < 4; i++)
    {
      if (!is_gimple_min_invariant (min)
	  || (TREE_OVERFLOW (min) && !is_overflow_infinity (min))
	  || !is_gimple_min_invariant (max)
	  || (TREE_OVERFLOW (max) && !is_overflow_infinity (max)))
	break;

      if (val[i])
	{
	  if (!is_gimple_min_invariant (val[i])
	      || (TREE_OVERFLOW (val[i])
		  && !is_overflow_infinity (val[i])))
	    {
	      /* If we found an overflowed value, set MIN and MAX
		 to it so that we set the resulting range to
		 VARYING.  */
	      min = max = val[i];
	      break;
	    }

	  if (compare_values (val[i], min) == -1)
	    min = val[i];

	  if (compare_values (val[i], max) == 1)
	    max = val[i];
	}
    }

  /* If either MIN or MAX overflowed, then set the resulting range to
     VARYING.  But we do accept an overflow infinity
     representation.  */
  if (min == NULL_TREE
      || !is_gimple_min_invariant (min)
      || (TREE_OVERFLOW (min) && !is_overflow_infinity (min))
      || max == NULL_TREE
      || !is_gimple_min_invariant (max)
      || (TREE_OVERFLOW (max) && !is_overflow_infinity (max)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* We punt if:
     1) [-INF, +INF]
     2) [-INF, +-INF(OVF)]
     3) [+-INF(OVF), +INF]
     4) [+-INF(OVF), +-INF(OVF)]
     We learn nothing when we have INF and INF(OVF) on both sides.
     Note that we do accept [-INF, -INF] and [+INF, +INF] without
     overflow.  */
  if ((vrp_val_is_min (min) || is_overflow_infinity (min))
      && (vrp_val_is_max (max) || is_overflow_infinity (max)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  cmp = compare_values (min, max);
  if (cmp == -2 || cmp == 1)
    {
      /* If the new range has its limits swapped around (MIN > MAX),
	 then the operation caused one of them to wrap around, mark
	 the new range VARYING.  */
      set_value_range_to_varying (vr);
    }
  else
    set_value_range (vr, type, min, max, NULL);
}

/* Some quadruple precision helpers.  */
static int
quad_int_cmp (double_int l0, double_int h0,
	      double_int l1, double_int h1, bool uns)
{
  int c = h0.cmp (h1, uns);
  if (c != 0) return c;
  return l0.ucmp (l1);
}

static void
quad_int_pair_sort (double_int *l0, double_int *h0,
		    double_int *l1, double_int *h1, bool uns)
{
  if (quad_int_cmp (*l0, *h0, *l1, *h1, uns) > 0)
    {
      double_int tmp;
      tmp = *l0; *l0 = *l1; *l1 = tmp;
      tmp = *h0; *h0 = *h1; *h1 = tmp;
    }
}

/* Extract range information from a binary operation CODE based on
   the ranges of each of its operands, *VR0 and *VR1 with resulting
   type EXPR_TYPE.  The resulting range is stored in *VR.  */

static void
extract_range_from_binary_expr_1 (value_range_t *vr,
				  enum tree_code code, tree expr_type,
				  value_range_t *vr0_, value_range_t *vr1_)
{
  value_range_t vr0 = *vr0_, vr1 = *vr1_;
  value_range_t vrtem0 = VR_INITIALIZER, vrtem1 = VR_INITIALIZER;
  enum value_range_type type;
  tree min = NULL_TREE, max = NULL_TREE;
  int cmp;

  if (!INTEGRAL_TYPE_P (expr_type)
      && !POINTER_TYPE_P (expr_type))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* Not all binary expressions can be applied to ranges in a
     meaningful way.  Handle only arithmetic operations.  */
  if (code != PLUS_EXPR
      && code != MINUS_EXPR
      && code != POINTER_PLUS_EXPR
      && code != MULT_EXPR
      && code != TRUNC_DIV_EXPR
      && code != FLOOR_DIV_EXPR
      && code != CEIL_DIV_EXPR
      && code != EXACT_DIV_EXPR
      && code != ROUND_DIV_EXPR
      && code != TRUNC_MOD_EXPR
      && code != RSHIFT_EXPR
      && code != LSHIFT_EXPR
      && code != MIN_EXPR
      && code != MAX_EXPR
      && code != BIT_AND_EXPR
      && code != BIT_IOR_EXPR
      && code != BIT_XOR_EXPR)
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* If both ranges are UNDEFINED, so is the result.  */
  if (vr0.type == VR_UNDEFINED && vr1.type == VR_UNDEFINED)
    {
      set_value_range_to_undefined (vr);
      return;
    }
  /* If one of the ranges is UNDEFINED drop it to VARYING for the following
     code.  At some point we may want to special-case operations that
     have UNDEFINED result for all or some value-ranges of the not UNDEFINED
     operand.  */
  else if (vr0.type == VR_UNDEFINED)
    set_value_range_to_varying (&vr0);
  else if (vr1.type == VR_UNDEFINED)
    set_value_range_to_varying (&vr1);

  /* Now canonicalize anti-ranges to ranges when they are not symbolic
     and express ~[] op X as ([]' op X) U ([]'' op X).  */
  if (vr0.type == VR_ANTI_RANGE
      && ranges_from_anti_range (&vr0, &vrtem0, &vrtem1))
    {
      extract_range_from_binary_expr_1 (vr, code, expr_type, &vrtem0, vr1_);
      if (vrtem1.type != VR_UNDEFINED)
	{
	  value_range_t vrres = VR_INITIALIZER;
	  extract_range_from_binary_expr_1 (&vrres, code, expr_type,
					    &vrtem1, vr1_);
	  vrp_meet (vr, &vrres);
	}
      return;
    }
  /* Likewise for X op ~[].  */
  if (vr1.type == VR_ANTI_RANGE
      && ranges_from_anti_range (&vr1, &vrtem0, &vrtem1))
    {
      extract_range_from_binary_expr_1 (vr, code, expr_type, vr0_, &vrtem0);
      if (vrtem1.type != VR_UNDEFINED)
	{
	  value_range_t vrres = VR_INITIALIZER;
	  extract_range_from_binary_expr_1 (&vrres, code, expr_type,
					    vr0_, &vrtem1);
	  vrp_meet (vr, &vrres);
	}
      return;
    }

  /* The type of the resulting value range defaults to VR0.TYPE.  */
  type = vr0.type;

  /* Refuse to operate on VARYING ranges, ranges of different kinds
     and symbolic ranges.  As an exception, we allow BIT_AND_EXPR
     because we may be able to derive a useful range even if one of
     the operands is VR_VARYING or symbolic range.  Similarly for
     divisions.  TODO, we may be able to derive anti-ranges in
     some cases.  */
  if (code != BIT_AND_EXPR
      && code != BIT_IOR_EXPR
      && code != TRUNC_DIV_EXPR
      && code != FLOOR_DIV_EXPR
      && code != CEIL_DIV_EXPR
      && code != EXACT_DIV_EXPR
      && code != ROUND_DIV_EXPR
      && code != TRUNC_MOD_EXPR
      && code != MIN_EXPR
      && code != MAX_EXPR
      && (vr0.type == VR_VARYING
	  || vr1.type == VR_VARYING
	  || vr0.type != vr1.type
	  || symbolic_range_p (&vr0)
	  || symbolic_range_p (&vr1)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* Now evaluate the expression to determine the new range.  */
  if (POINTER_TYPE_P (expr_type))
    {
      if (code == MIN_EXPR || code == MAX_EXPR)
	{
	  /* For MIN/MAX expressions with pointers, we only care about
	     nullness, if both are non null, then the result is nonnull.
	     If both are null, then the result is null. Otherwise they
	     are varying.  */
	  if (range_is_nonnull (&vr0) && range_is_nonnull (&vr1))
	    set_value_range_to_nonnull (vr, expr_type);
	  else if (range_is_null (&vr0) && range_is_null (&vr1))
	    set_value_range_to_null (vr, expr_type);
	  else
	    set_value_range_to_varying (vr);
	}
      else if (code == POINTER_PLUS_EXPR)
	{
	  /* For pointer types, we are really only interested in asserting
	     whether the expression evaluates to non-NULL.  */
	  if (range_is_nonnull (&vr0) || range_is_nonnull (&vr1))
	    set_value_range_to_nonnull (vr, expr_type);
	  else if (range_is_null (&vr0) && range_is_null (&vr1))
	    set_value_range_to_null (vr, expr_type);
	  else
	    set_value_range_to_varying (vr);
	}
      else if (code == BIT_AND_EXPR)
	{
	  /* For pointer types, we are really only interested in asserting
	     whether the expression evaluates to non-NULL.  */
	  if (range_is_nonnull (&vr0) && range_is_nonnull (&vr1))
	    set_value_range_to_nonnull (vr, expr_type);
	  else if (range_is_null (&vr0) || range_is_null (&vr1))
	    set_value_range_to_null (vr, expr_type);
	  else
	    set_value_range_to_varying (vr);
	}
      else
	set_value_range_to_varying (vr);

      return;
    }

  /* For integer ranges, apply the operation to each end of the
     range and see what we end up with.  */
  if (code == PLUS_EXPR || code == MINUS_EXPR)
    {
      /* If we have a PLUS_EXPR with two VR_RANGE integer constant
         ranges compute the precise range for such case if possible.  */
      if (range_int_cst_p (&vr0)
	  && range_int_cst_p (&vr1)
	  /* We need as many bits as the possibly unsigned inputs.  */
	  && TYPE_PRECISION (expr_type) <= HOST_BITS_PER_DOUBLE_INT)
	{
	  double_int min0 = tree_to_double_int (vr0.min);
	  double_int max0 = tree_to_double_int (vr0.max);
	  double_int min1 = tree_to_double_int (vr1.min);
	  double_int max1 = tree_to_double_int (vr1.max);
	  bool uns = TYPE_UNSIGNED (expr_type);
	  double_int type_min
	    = double_int::min_value (TYPE_PRECISION (expr_type), uns);
	  double_int type_max
	    = double_int::max_value (TYPE_PRECISION (expr_type), uns);
	  double_int dmin, dmax;
	  int min_ovf = 0;
	  int max_ovf = 0;

	  if (code == PLUS_EXPR)
	    {
	      dmin = min0 + min1;
	      dmax = max0 + max1;

	      /* Check for overflow in double_int.  */
	      if (min1.cmp (double_int_zero, uns) != dmin.cmp (min0, uns))
		min_ovf = min0.cmp (dmin, uns);
	      if (max1.cmp (double_int_zero, uns) != dmax.cmp (max0, uns))
		max_ovf = max0.cmp (dmax, uns);
	    }
	  else /* if (code == MINUS_EXPR) */
	    {
	      dmin = min0 - max1;
	      dmax = max0 - min1;

	      if (double_int_zero.cmp (max1, uns) != dmin.cmp (min0, uns))
		min_ovf = min0.cmp (max1, uns);
	      if (double_int_zero.cmp (min1, uns) != dmax.cmp (max0, uns))
		max_ovf = max0.cmp (min1, uns);
	    }

	  /* For non-wrapping arithmetic look at possibly smaller
	     value-ranges of the type.  */
	  if (!TYPE_OVERFLOW_WRAPS (expr_type))
	    {
	      if (vrp_val_min (expr_type))
		type_min = tree_to_double_int (vrp_val_min (expr_type));
	      if (vrp_val_max (expr_type))
		type_max = tree_to_double_int (vrp_val_max (expr_type));
	    }

	  /* Check for type overflow.  */
	  if (min_ovf == 0)
	    {
	      if (dmin.cmp (type_min, uns) == -1)
		min_ovf = -1;
	      else if (dmin.cmp (type_max, uns) == 1)
		min_ovf = 1;
	    }
	  if (max_ovf == 0)
	    {
	      if (dmax.cmp (type_min, uns) == -1)
		max_ovf = -1;
	      else if (dmax.cmp (type_max, uns) == 1)
		max_ovf = 1;
	    }

	  if (TYPE_OVERFLOW_WRAPS (expr_type))
	    {
	      /* If overflow wraps, truncate the values and adjust the
		 range kind and bounds appropriately.  */
	      double_int tmin
		= dmin.ext (TYPE_PRECISION (expr_type), uns);
	      double_int tmax
		= dmax.ext (TYPE_PRECISION (expr_type), uns);
	      if (min_ovf == max_ovf)
		{
		  /* No overflow or both overflow or underflow.  The
		     range kind stays VR_RANGE.  */
		  min = double_int_to_tree (expr_type, tmin);
		  max = double_int_to_tree (expr_type, tmax);
		}
	      else if (min_ovf == -1
		       && max_ovf == 1)
		{
		  /* Underflow and overflow, drop to VR_VARYING.  */
		  set_value_range_to_varying (vr);
		  return;
		}
	      else
		{
		  /* Min underflow or max overflow.  The range kind
		     changes to VR_ANTI_RANGE.  */
		  bool covers = false;
		  double_int tem = tmin;
		  gcc_assert ((min_ovf == -1 && max_ovf == 0)
			      || (max_ovf == 1 && min_ovf == 0));
		  type = VR_ANTI_RANGE;
		  tmin = tmax + double_int_one;
		  if (tmin.cmp (tmax, uns) < 0)
		    covers = true;
		  tmax = tem + double_int_minus_one;
		  if (tmax.cmp (tem, uns) > 0)
		    covers = true;
		  /* If the anti-range would cover nothing, drop to varying.
		     Likewise if the anti-range bounds are outside of the
		     types values.  */
		  if (covers || tmin.cmp (tmax, uns) > 0)
		    {
		      set_value_range_to_varying (vr);
		      return;
		    }
		  min = double_int_to_tree (expr_type, tmin);
		  max = double_int_to_tree (expr_type, tmax);
		}
	    }
	  else
	    {
	      /* If overflow does not wrap, saturate to the types min/max
	         value.  */
	      if (min_ovf == -1)
		{
		  if (needs_overflow_infinity (expr_type)
		      && supports_overflow_infinity (expr_type))
		    min = negative_overflow_infinity (expr_type);
		  else
		    min = double_int_to_tree (expr_type, type_min);
		}
	      else if (min_ovf == 1)
		{
		  if (needs_overflow_infinity (expr_type)
		      && supports_overflow_infinity (expr_type))
		    min = positive_overflow_infinity (expr_type);
		  else
		    min = double_int_to_tree (expr_type, type_max);
		}
	      else
		min = double_int_to_tree (expr_type, dmin);

	      if (max_ovf == -1)
		{
		  if (needs_overflow_infinity (expr_type)
		      && supports_overflow_infinity (expr_type))
		    max = negative_overflow_infinity (expr_type);
		  else
		    max = double_int_to_tree (expr_type, type_min);
		}
	      else if (max_ovf == 1)
		{
		  if (needs_overflow_infinity (expr_type)
		      && supports_overflow_infinity (expr_type))
		    max = positive_overflow_infinity (expr_type);
		  else
		    max = double_int_to_tree (expr_type, type_max);
		}
	      else
		max = double_int_to_tree (expr_type, dmax);
	    }
	  if (needs_overflow_infinity (expr_type)
	      && supports_overflow_infinity (expr_type))
	    {
	      if (is_negative_overflow_infinity (vr0.min)
		  || (code == PLUS_EXPR
		      ? is_negative_overflow_infinity (vr1.min)
		      : is_positive_overflow_infinity (vr1.max)))
		min = negative_overflow_infinity (expr_type);
	      if (is_positive_overflow_infinity (vr0.max)
		  || (code == PLUS_EXPR
		      ? is_positive_overflow_infinity (vr1.max)
		      : is_negative_overflow_infinity (vr1.min)))
		max = positive_overflow_infinity (expr_type);
	    }
	}
      else
	{
	  /* For other cases, for example if we have a PLUS_EXPR with two
	     VR_ANTI_RANGEs, drop to VR_VARYING.  It would take more effort
	     to compute a precise range for such a case.
	     ???  General even mixed range kind operations can be expressed
	     by for example transforming ~[3, 5] + [1, 2] to range-only
	     operations and a union primitive:
	       [-INF, 2] + [1, 2]  U  [5, +INF] + [1, 2]
	           [-INF+1, 4]     U    [6, +INF(OVF)]
	     though usually the union is not exactly representable with
	     a single range or anti-range as the above is
		 [-INF+1, +INF(OVF)] intersected with ~[5, 5]
	     but one could use a scheme similar to equivalences for this. */
	  set_value_range_to_varying (vr);
	  return;
	}
    }
  else if (code == MIN_EXPR
	   || code == MAX_EXPR)
    {
      if (vr0.type == VR_RANGE
	  && !symbolic_range_p (&vr0))
	{
	  type = VR_RANGE;
	  if (vr1.type == VR_RANGE
	      && !symbolic_range_p (&vr1))
	    {
	      /* For operations that make the resulting range directly
		 proportional to the original ranges, apply the operation to
		 the same end of each range.  */
	      min = vrp_int_const_binop (code, vr0.min, vr1.min);
	      max = vrp_int_const_binop (code, vr0.max, vr1.max);
	    }
	  else if (code == MIN_EXPR)
	    {
	      min = vrp_val_min (expr_type);
	      max = vr0.max;
	    }
	  else if (code == MAX_EXPR)
	    {
	      min = vr0.min;
	      max = vrp_val_max (expr_type);
	    }
	}
      else if (vr1.type == VR_RANGE
	       && !symbolic_range_p (&vr1))
	{
	  type = VR_RANGE;
	  if (code == MIN_EXPR)
	    {
	      min = vrp_val_min (expr_type);
	      max = vr1.max;
	    }
	  else if (code == MAX_EXPR)
	    {
	      min = vr1.min;
	      max = vrp_val_max (expr_type);
	    }
	}
      else
	{
	  set_value_range_to_varying (vr);
	  return;
	}
    }
  else if (code == MULT_EXPR)
    {
      /* Fancy code so that with unsigned, [-3,-1]*[-3,-1] does not
	 drop to varying.  */
      if (range_int_cst_p (&vr0)
	  && range_int_cst_p (&vr1)
	  && TYPE_OVERFLOW_WRAPS (expr_type))
	{
	  double_int min0, max0, min1, max1, sizem1, size;
	  double_int prod0l, prod0h, prod1l, prod1h,
		     prod2l, prod2h, prod3l, prod3h;
	  bool uns0, uns1, uns;

	  sizem1 = double_int::max_value (TYPE_PRECISION (expr_type), true);
	  size = sizem1 + double_int_one;

	  min0 = tree_to_double_int (vr0.min);
	  max0 = tree_to_double_int (vr0.max);
	  min1 = tree_to_double_int (vr1.min);
	  max1 = tree_to_double_int (vr1.max);

	  uns0 = TYPE_UNSIGNED (expr_type);
	  uns1 = uns0;

	  /* Canonicalize the intervals.  */
	  if (TYPE_UNSIGNED (expr_type))
	    {
	      double_int min2 = size - min0;
	      if (!min2.is_zero () && min2.cmp (max0, true) < 0)
		{
		  min0 = -min2;
		  max0 -= size;
		  uns0 = false;
		}

	      min2 = size - min1;
	      if (!min2.is_zero () && min2.cmp (max1, true) < 0)
		{
		  min1 = -min2;
		  max1 -= size;
		  uns1 = false;
		}
	    }
	  uns = uns0 & uns1;

	  bool overflow;
	  prod0l = min0.wide_mul_with_sign (min1, true, &prod0h, &overflow);
	  if (!uns0 && min0.is_negative ())
	    prod0h -= min1;
	  if (!uns1 && min1.is_negative ())
	    prod0h -= min0;

	  prod1l = min0.wide_mul_with_sign (max1, true, &prod1h, &overflow);
	  if (!uns0 && min0.is_negative ())
	    prod1h -= max1;
	  if (!uns1 && max1.is_negative ())
	    prod1h -= min0;

	  prod2l = max0.wide_mul_with_sign (min1, true, &prod2h, &overflow);
	  if (!uns0 && max0.is_negative ())
	    prod2h -= min1;
	  if (!uns1 && min1.is_negative ())
	    prod2h -= max0;

	  prod3l = max0.wide_mul_with_sign (max1, true, &prod3h, &overflow);
	  if (!uns0 && max0.is_negative ())
	    prod3h -= max1;
	  if (!uns1 && max1.is_negative ())
	    prod3h -= max0;

	  /* Sort the 4 products.  */
	  quad_int_pair_sort (&prod0l, &prod0h, &prod3l, &prod3h, uns);
	  quad_int_pair_sort (&prod1l, &prod1h, &prod2l, &prod2h, uns);
	  quad_int_pair_sort (&prod0l, &prod0h, &prod1l, &prod1h, uns);
	  quad_int_pair_sort (&prod2l, &prod2h, &prod3l, &prod3h, uns);

	  /* Max - min.  */
	  if (prod0l.is_zero ())
	    {
	      prod1l = double_int_zero;
	      prod1h = -prod0h;
	    }
	  else
	    {
	      prod1l = -prod0l;
	      prod1h = ~prod0h;
	    }
	  prod2l = prod3l + prod1l;
	  prod2h = prod3h + prod1h;
	  if (prod2l.ult (prod3l))
	    prod2h += double_int_one; /* carry */

	  if (!prod2h.is_zero ()
	      || prod2l.cmp (sizem1, true) >= 0)
	    {
	      /* the range covers all values.  */
	      set_value_range_to_varying (vr);
	      return;
	    }

	  /* The following should handle the wrapping and selecting
	     VR_ANTI_RANGE for us.  */
	  min = double_int_to_tree (expr_type, prod0l);
	  max = double_int_to_tree (expr_type, prod3l);
	  set_and_canonicalize_value_range (vr, VR_RANGE, min, max, NULL);
	  return;
	}

      /* If we have an unsigned MULT_EXPR with two VR_ANTI_RANGEs,
	 drop to VR_VARYING.  It would take more effort to compute a
	 precise range for such a case.  For example, if we have
	 op0 == 65536 and op1 == 65536 with their ranges both being
	 ~[0,0] on a 32-bit machine, we would have op0 * op1 == 0, so
	 we cannot claim that the product is in ~[0,0].  Note that we
	 are guaranteed to have vr0.type == vr1.type at this
	 point.  */
      if (vr0.type == VR_ANTI_RANGE
	  && !TYPE_OVERFLOW_UNDEFINED (expr_type))
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      extract_range_from_multiplicative_op_1 (vr, code, &vr0, &vr1);
      return;
    }
  else if (code == RSHIFT_EXPR
	   || code == LSHIFT_EXPR)
    {
      /* If we have a RSHIFT_EXPR with any shift values outside [0..prec-1],
	 then drop to VR_VARYING.  Outside of this range we get undefined
	 behavior from the shift operation.  We cannot even trust
	 SHIFT_COUNT_TRUNCATED at this stage, because that applies to rtl
	 shifts, and the operation at the tree level may be widened.  */
      if (range_int_cst_p (&vr1)
	  && compare_tree_int (vr1.min, 0) >= 0
	  && compare_tree_int (vr1.max, TYPE_PRECISION (expr_type)) == -1)
	{
	  if (code == RSHIFT_EXPR)
	    {
	      extract_range_from_multiplicative_op_1 (vr, code, &vr0, &vr1);
	      return;
	    }
	  /* We can map lshifts by constants to MULT_EXPR handling.  */
	  else if (code == LSHIFT_EXPR
		   && range_int_cst_singleton_p (&vr1))
	    {
	      bool saved_flag_wrapv;
	      value_range_t vr1p = VR_INITIALIZER;
	      vr1p.type = VR_RANGE;
	      vr1p.min
		= double_int_to_tree (expr_type,
				      double_int_one
				      .llshift (TREE_INT_CST_LOW (vr1.min),
					        TYPE_PRECISION (expr_type)));
	      vr1p.max = vr1p.min;
	      /* We have to use a wrapping multiply though as signed overflow
		 on lshifts is implementation defined in C89.  */
	      saved_flag_wrapv = flag_wrapv;
	      flag_wrapv = 1;
	      extract_range_from_binary_expr_1 (vr, MULT_EXPR, expr_type,
						&vr0, &vr1p);
	      flag_wrapv = saved_flag_wrapv;
	      return;
	    }
	  else if (code == LSHIFT_EXPR
		   && range_int_cst_p (&vr0))
	    {
	      int prec = TYPE_PRECISION (expr_type);
	      int overflow_pos = prec;
	      int bound_shift;
	      double_int bound, complement, low_bound, high_bound;
	      bool uns = TYPE_UNSIGNED (expr_type);
	      bool in_bounds = false;

	      if (!uns)
		overflow_pos -= 1;

	      bound_shift = overflow_pos - TREE_INT_CST_LOW (vr1.max);
	      /* If bound_shift == HOST_BITS_PER_DOUBLE_INT, the llshift can
		 overflow.  However, for that to happen, vr1.max needs to be
		 zero, which means vr1 is a singleton range of zero, which
		 means it should be handled by the previous LSHIFT_EXPR
		 if-clause.  */
	      bound = double_int_one.llshift (bound_shift, prec);
	      complement = ~(bound - double_int_one);

	      if (uns)
		{
		  low_bound = bound.zext (prec);
		  high_bound = complement.zext (prec);
		  if (tree_to_double_int (vr0.max).ult (low_bound))
		    {
		      /* [5, 6] << [1, 2] == [10, 24].  */
		      /* We're shifting out only zeroes, the value increases
			 monotonically.  */
		      in_bounds = true;
		    }
		  else if (high_bound.ult (tree_to_double_int (vr0.min)))
		    {
		      /* [0xffffff00, 0xffffffff] << [1, 2]
		         == [0xfffffc00, 0xfffffffe].  */
		      /* We're shifting out only ones, the value decreases
			 monotonically.  */
		      in_bounds = true;
		    }
		}
	      else
		{
		  /* [-1, 1] << [1, 2] == [-4, 4].  */
		  low_bound = complement.sext (prec);
		  high_bound = bound;
		  if (tree_to_double_int (vr0.max).slt (high_bound)
		      && low_bound.slt (tree_to_double_int (vr0.min)))
		    {
		      /* For non-negative numbers, we're shifting out only
			 zeroes, the value increases monotonically.
			 For negative numbers, we're shifting out only ones, the
			 value decreases monotomically.  */
		      in_bounds = true;
		    }
		}

	      if (in_bounds)
		{
		  extract_range_from_multiplicative_op_1 (vr, code, &vr0, &vr1);
		  return;
		}
	    }
	}
      set_value_range_to_varying (vr);
      return;
    }
  else if (code == TRUNC_DIV_EXPR
	   || code == FLOOR_DIV_EXPR
	   || code == CEIL_DIV_EXPR
	   || code == EXACT_DIV_EXPR
	   || code == ROUND_DIV_EXPR)
    {
      if (vr0.type != VR_RANGE || symbolic_range_p (&vr0))
	{
	  /* For division, if op1 has VR_RANGE but op0 does not, something
	     can be deduced just from that range.  Say [min, max] / [4, max]
	     gives [min / 4, max / 4] range.  */
	  if (vr1.type == VR_RANGE
	      && !symbolic_range_p (&vr1)
	      && range_includes_zero_p (vr1.min, vr1.max) == 0)
	    {
	      vr0.type = type = VR_RANGE;
	      vr0.min = vrp_val_min (expr_type);
	      vr0.max = vrp_val_max (expr_type);
	    }
	  else
	    {
	      set_value_range_to_varying (vr);
	      return;
	    }
	}

      /* For divisions, if flag_non_call_exceptions is true, we must
	 not eliminate a division by zero.  */
      if (cfun->can_throw_non_call_exceptions
	  && (vr1.type != VR_RANGE
	      || range_includes_zero_p (vr1.min, vr1.max) != 0))
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      /* For divisions, if op0 is VR_RANGE, we can deduce a range
	 even if op1 is VR_VARYING, VR_ANTI_RANGE, symbolic or can
	 include 0.  */
      if (vr0.type == VR_RANGE
	  && (vr1.type != VR_RANGE
	      || range_includes_zero_p (vr1.min, vr1.max) != 0))
	{
	  tree zero = build_int_cst (TREE_TYPE (vr0.min), 0);
	  int cmp;

	  min = NULL_TREE;
	  max = NULL_TREE;
	  if (TYPE_UNSIGNED (expr_type)
	      || value_range_nonnegative_p (&vr1))
	    {
	      /* For unsigned division or when divisor is known
		 to be non-negative, the range has to cover
		 all numbers from 0 to max for positive max
		 and all numbers from min to 0 for negative min.  */
	      cmp = compare_values (vr0.max, zero);
	      if (cmp == -1)
		max = zero;
	      else if (cmp == 0 || cmp == 1)
		max = vr0.max;
	      else
		type = VR_VARYING;
	      cmp = compare_values (vr0.min, zero);
	      if (cmp == 1)
		min = zero;
	      else if (cmp == 0 || cmp == -1)
		min = vr0.min;
	      else
		type = VR_VARYING;
	    }
	  else
	    {
	      /* Otherwise the range is -max .. max or min .. -min
		 depending on which bound is bigger in absolute value,
		 as the division can change the sign.  */
	      abs_extent_range (vr, vr0.min, vr0.max);
	      return;
	    }
	  if (type == VR_VARYING)
	    {
	      set_value_range_to_varying (vr);
	      return;
	    }
	}
      else
	{
	  extract_range_from_multiplicative_op_1 (vr, code, &vr0, &vr1);
	  return;
	}
    }
  else if (code == TRUNC_MOD_EXPR)
    {
      if (vr1.type != VR_RANGE
	  || range_includes_zero_p (vr1.min, vr1.max) != 0
	  || vrp_val_is_min (vr1.min))
	{
	  set_value_range_to_varying (vr);
	  return;
	}
      type = VR_RANGE;
      /* Compute MAX <|vr1.min|, |vr1.max|> - 1.  */
      max = fold_unary_to_constant (ABS_EXPR, expr_type, vr1.min);
      if (tree_int_cst_lt (max, vr1.max))
	max = vr1.max;
      max = int_const_binop (MINUS_EXPR, max, integer_one_node);
      /* If the dividend is non-negative the modulus will be
	 non-negative as well.  */
      if (TYPE_UNSIGNED (expr_type)
	  || value_range_nonnegative_p (&vr0))
	min = build_int_cst (TREE_TYPE (max), 0);
      else
	min = fold_unary_to_constant (NEGATE_EXPR, expr_type, max);
    }
  else if (code == BIT_AND_EXPR || code == BIT_IOR_EXPR || code == BIT_XOR_EXPR)
    {
      bool int_cst_range0, int_cst_range1;
      double_int may_be_nonzero0, may_be_nonzero1;
      double_int must_be_nonzero0, must_be_nonzero1;

      int_cst_range0 = zero_nonzero_bits_from_vr (&vr0, &may_be_nonzero0,
						  &must_be_nonzero0);
      int_cst_range1 = zero_nonzero_bits_from_vr (&vr1, &may_be_nonzero1,
						  &must_be_nonzero1);

      type = VR_RANGE;
      if (code == BIT_AND_EXPR)
	{
	  double_int dmax;
	  min = double_int_to_tree (expr_type,
				    must_be_nonzero0 & must_be_nonzero1);
	  dmax = may_be_nonzero0 & may_be_nonzero1;
	  /* If both input ranges contain only negative values we can
	     truncate the result range maximum to the minimum of the
	     input range maxima.  */
	  if (int_cst_range0 && int_cst_range1
	      && tree_int_cst_sgn (vr0.max) < 0
	      && tree_int_cst_sgn (vr1.max) < 0)
	    {
	      dmax = dmax.min (tree_to_double_int (vr0.max),
				     TYPE_UNSIGNED (expr_type));
	      dmax = dmax.min (tree_to_double_int (vr1.max),
				     TYPE_UNSIGNED (expr_type));
	    }
	  /* If either input range contains only non-negative values
	     we can truncate the result range maximum to the respective
	     maximum of the input range.  */
	  if (int_cst_range0 && tree_int_cst_sgn (vr0.min) >= 0)
	    dmax = dmax.min (tree_to_double_int (vr0.max),
				   TYPE_UNSIGNED (expr_type));
	  if (int_cst_range1 && tree_int_cst_sgn (vr1.min) >= 0)
	    dmax = dmax.min (tree_to_double_int (vr1.max),
				   TYPE_UNSIGNED (expr_type));
	  max = double_int_to_tree (expr_type, dmax);
	}
      else if (code == BIT_IOR_EXPR)
	{
	  double_int dmin;
	  max = double_int_to_tree (expr_type,
				    may_be_nonzero0 | may_be_nonzero1);
	  dmin = must_be_nonzero0 | must_be_nonzero1;
	  /* If the input ranges contain only positive values we can
	     truncate the minimum of the result range to the maximum
	     of the input range minima.  */
	  if (int_cst_range0 && int_cst_range1
	      && tree_int_cst_sgn (vr0.min) >= 0
	      && tree_int_cst_sgn (vr1.min) >= 0)
	    {
	      dmin = dmin.max (tree_to_double_int (vr0.min),
			       TYPE_UNSIGNED (expr_type));
	      dmin = dmin.max (tree_to_double_int (vr1.min),
			       TYPE_UNSIGNED (expr_type));
	    }
	  /* If either input range contains only negative values
	     we can truncate the minimum of the result range to the
	     respective minimum range.  */
	  if (int_cst_range0 && tree_int_cst_sgn (vr0.max) < 0)
	    dmin = dmin.max (tree_to_double_int (vr0.min),
			     TYPE_UNSIGNED (expr_type));
	  if (int_cst_range1 && tree_int_cst_sgn (vr1.max) < 0)
	    dmin = dmin.max (tree_to_double_int (vr1.min),
			     TYPE_UNSIGNED (expr_type));
	  min = double_int_to_tree (expr_type, dmin);
	}
      else if (code == BIT_XOR_EXPR)
	{
	  double_int result_zero_bits, result_one_bits;
	  result_zero_bits = (must_be_nonzero0 & must_be_nonzero1)
			     | ~(may_be_nonzero0 | may_be_nonzero1);
	  result_one_bits = must_be_nonzero0.and_not (may_be_nonzero1)
			    | must_be_nonzero1.and_not (may_be_nonzero0);
	  max = double_int_to_tree (expr_type, ~result_zero_bits);
	  min = double_int_to_tree (expr_type, result_one_bits);
	  /* If the range has all positive or all negative values the
	     result is better than VARYING.  */
	  if (tree_int_cst_sgn (min) < 0
	      || tree_int_cst_sgn (max) >= 0)
	    ;
	  else
	    max = min = NULL_TREE;
	}
    }
  else
    gcc_unreachable ();

  /* If either MIN or MAX overflowed, then set the resulting range to
     VARYING.  But we do accept an overflow infinity
     representation.  */
  if (min == NULL_TREE
      || !is_gimple_min_invariant (min)
      || (TREE_OVERFLOW (min) && !is_overflow_infinity (min))
      || max == NULL_TREE
      || !is_gimple_min_invariant (max)
      || (TREE_OVERFLOW (max) && !is_overflow_infinity (max)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* We punt if:
     1) [-INF, +INF]
     2) [-INF, +-INF(OVF)]
     3) [+-INF(OVF), +INF]
     4) [+-INF(OVF), +-INF(OVF)]
     We learn nothing when we have INF and INF(OVF) on both sides.
     Note that we do accept [-INF, -INF] and [+INF, +INF] without
     overflow.  */
  if ((vrp_val_is_min (min) || is_overflow_infinity (min))
      && (vrp_val_is_max (max) || is_overflow_infinity (max)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  cmp = compare_values (min, max);
  if (cmp == -2 || cmp == 1)
    {
      /* If the new range has its limits swapped around (MIN > MAX),
	 then the operation caused one of them to wrap around, mark
	 the new range VARYING.  */
      set_value_range_to_varying (vr);
    }
  else
    set_value_range (vr, type, min, max, NULL);
}

/* Extract range information from a binary expression OP0 CODE OP1 based on
   the ranges of each of its operands with resulting type EXPR_TYPE.
   The resulting range is stored in *VR.  */

static void
extract_range_from_binary_expr (value_range_t *vr,
				enum tree_code code,
				tree expr_type, tree op0, tree op1)
{
  value_range_t vr0 = VR_INITIALIZER;
  value_range_t vr1 = VR_INITIALIZER;

  /* Get value ranges for each operand.  For constant operands, create
     a new value range with the operand to simplify processing.  */
  if (TREE_CODE (op0) == SSA_NAME)
    vr0 = *(get_value_range (op0));
  else if (is_gimple_min_invariant (op0))
    set_value_range_to_value (&vr0, op0, NULL);
  else
    set_value_range_to_varying (&vr0);

  if (TREE_CODE (op1) == SSA_NAME)
    vr1 = *(get_value_range (op1));
  else if (is_gimple_min_invariant (op1))
    set_value_range_to_value (&vr1, op1, NULL);
  else
    set_value_range_to_varying (&vr1);

  extract_range_from_binary_expr_1 (vr, code, expr_type, &vr0, &vr1);
}

/* Extract range information from a unary operation CODE based on
   the range of its operand *VR0 with type OP0_TYPE with resulting type TYPE.
   The The resulting range is stored in *VR.  */

static void
extract_range_from_unary_expr_1 (value_range_t *vr,
				 enum tree_code code, tree type,
				 value_range_t *vr0_, tree op0_type)
{
  value_range_t vr0 = *vr0_, vrtem0 = VR_INITIALIZER, vrtem1 = VR_INITIALIZER;

  /* VRP only operates on integral and pointer types.  */
  if (!(INTEGRAL_TYPE_P (op0_type)
	|| POINTER_TYPE_P (op0_type))
      || !(INTEGRAL_TYPE_P (type)
	   || POINTER_TYPE_P (type)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* If VR0 is UNDEFINED, so is the result.  */
  if (vr0.type == VR_UNDEFINED)
    {
      set_value_range_to_undefined (vr);
      return;
    }

  /* Handle operations that we express in terms of others.  */
  if (code == PAREN_EXPR || code == OBJ_TYPE_REF)
    {
      /* PAREN_EXPR and OBJ_TYPE_REF are simple copies.  */
      copy_value_range (vr, &vr0);
      return;
    }
  else if (code == NEGATE_EXPR)
    {
      /* -X is simply 0 - X, so re-use existing code that also handles
         anti-ranges fine.  */
      value_range_t zero = VR_INITIALIZER;
      set_value_range_to_value (&zero, build_int_cst (type, 0), NULL);
      extract_range_from_binary_expr_1 (vr, MINUS_EXPR, type, &zero, &vr0);
      return;
    }
  else if (code == BIT_NOT_EXPR)
    {
      /* ~X is simply -1 - X, so re-use existing code that also handles
         anti-ranges fine.  */
      value_range_t minusone = VR_INITIALIZER;
      set_value_range_to_value (&minusone, build_int_cst (type, -1), NULL);
      extract_range_from_binary_expr_1 (vr, MINUS_EXPR,
					type, &minusone, &vr0);
      return;
    }

  /* Now canonicalize anti-ranges to ranges when they are not symbolic
     and express op ~[]  as (op []') U (op []'').  */
  if (vr0.type == VR_ANTI_RANGE
      && ranges_from_anti_range (&vr0, &vrtem0, &vrtem1))
    {
      extract_range_from_unary_expr_1 (vr, code, type, &vrtem0, op0_type);
      if (vrtem1.type != VR_UNDEFINED)
	{
	  value_range_t vrres = VR_INITIALIZER;
	  extract_range_from_unary_expr_1 (&vrres, code, type,
					   &vrtem1, op0_type);
	  vrp_meet (vr, &vrres);
	}
      return;
    }

  if (CONVERT_EXPR_CODE_P (code))
    {
      tree inner_type = op0_type;
      tree outer_type = type;

      /* If the expression evaluates to a pointer, we are only interested in
	 determining if it evaluates to NULL [0, 0] or non-NULL (~[0, 0]).  */
      if (POINTER_TYPE_P (type))
	{
	  if (range_is_nonnull (&vr0))
	    set_value_range_to_nonnull (vr, type);
	  else if (range_is_null (&vr0))
	    set_value_range_to_null (vr, type);
	  else
	    set_value_range_to_varying (vr);
	  return;
	}

      /* If VR0 is varying and we increase the type precision, assume
	 a full range for the following transformation.  */
      if (vr0.type == VR_VARYING
	  && INTEGRAL_TYPE_P (inner_type)
	  && TYPE_PRECISION (inner_type) < TYPE_PRECISION (outer_type))
	{
	  vr0.type = VR_RANGE;
	  vr0.min = TYPE_MIN_VALUE (inner_type);
	  vr0.max = TYPE_MAX_VALUE (inner_type);
	}

      /* If VR0 is a constant range or anti-range and the conversion is
	 not truncating we can convert the min and max values and
	 canonicalize the resulting range.  Otherwise we can do the
	 conversion if the size of the range is less than what the
	 precision of the target type can represent and the range is
	 not an anti-range.  */
      if ((vr0.type == VR_RANGE
	   || vr0.type == VR_ANTI_RANGE)
	  && TREE_CODE (vr0.min) == INTEGER_CST
	  && TREE_CODE (vr0.max) == INTEGER_CST
	  && (!is_overflow_infinity (vr0.min)
	      || (vr0.type == VR_RANGE
		  && TYPE_PRECISION (outer_type) > TYPE_PRECISION (inner_type)
		  && needs_overflow_infinity (outer_type)
		  && supports_overflow_infinity (outer_type)))
	  && (!is_overflow_infinity (vr0.max)
	      || (vr0.type == VR_RANGE
		  && TYPE_PRECISION (outer_type) > TYPE_PRECISION (inner_type)
		  && needs_overflow_infinity (outer_type)
		  && supports_overflow_infinity (outer_type)))
	  && (TYPE_PRECISION (outer_type) >= TYPE_PRECISION (inner_type)
	      || (vr0.type == VR_RANGE
		  && integer_zerop (int_const_binop (RSHIFT_EXPR,
		       int_const_binop (MINUS_EXPR, vr0.max, vr0.min),
		         size_int (TYPE_PRECISION (outer_type)))))))
	{
	  tree new_min, new_max;
	  if (is_overflow_infinity (vr0.min))
	    new_min = negative_overflow_infinity (outer_type);
	  else
	    new_min = force_fit_type_double (outer_type,
					     tree_to_double_int (vr0.min),
					     0, false);
	  if (is_overflow_infinity (vr0.max))
	    new_max = positive_overflow_infinity (outer_type);
	  else
	    new_max = force_fit_type_double (outer_type,
					     tree_to_double_int (vr0.max),
					     0, false);
	  set_and_canonicalize_value_range (vr, vr0.type,
					    new_min, new_max, NULL);
	  return;
	}

      set_value_range_to_varying (vr);
      return;
    }
  else if (code == ABS_EXPR)
    {
      tree min, max;
      int cmp;

      /* Pass through vr0 in the easy cases.  */
      if (TYPE_UNSIGNED (type)
	  || value_range_nonnegative_p (&vr0))
	{
	  copy_value_range (vr, &vr0);
	  return;
	}

      /* For the remaining varying or symbolic ranges we can't do anything
	 useful.  */
      if (vr0.type == VR_VARYING
	  || symbolic_range_p (&vr0))
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      /* -TYPE_MIN_VALUE = TYPE_MIN_VALUE with flag_wrapv so we can't get a
         useful range.  */
      if (!TYPE_OVERFLOW_UNDEFINED (type)
	  && ((vr0.type == VR_RANGE
	       && vrp_val_is_min (vr0.min))
	      || (vr0.type == VR_ANTI_RANGE
		  && !vrp_val_is_min (vr0.min))))
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      /* ABS_EXPR may flip the range around, if the original range
	 included negative values.  */
      if (is_overflow_infinity (vr0.min))
	min = positive_overflow_infinity (type);
      else if (!vrp_val_is_min (vr0.min))
	min = fold_unary_to_constant (code, type, vr0.min);
      else if (!needs_overflow_infinity (type))
	min = TYPE_MAX_VALUE (type);
      else if (supports_overflow_infinity (type))
	min = positive_overflow_infinity (type);
      else
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      if (is_overflow_infinity (vr0.max))
	max = positive_overflow_infinity (type);
      else if (!vrp_val_is_min (vr0.max))
	max = fold_unary_to_constant (code, type, vr0.max);
      else if (!needs_overflow_infinity (type))
	max = TYPE_MAX_VALUE (type);
      else if (supports_overflow_infinity (type)
	       /* We shouldn't generate [+INF, +INF] as set_value_range
		  doesn't like this and ICEs.  */
	       && !is_positive_overflow_infinity (min))
	max = positive_overflow_infinity (type);
      else
	{
	  set_value_range_to_varying (vr);
	  return;
	}

      cmp = compare_values (min, max);

      /* If a VR_ANTI_RANGEs contains zero, then we have
	 ~[-INF, min(MIN, MAX)].  */
      if (vr0.type == VR_ANTI_RANGE)
	{
	  if (range_includes_zero_p (vr0.min, vr0.max) == 1)
	    {
	      /* Take the lower of the two values.  */
	      if (cmp != 1)
		max = min;

	      /* Create ~[-INF, min (abs(MIN), abs(MAX))]
	         or ~[-INF + 1, min (abs(MIN), abs(MAX))] when
		 flag_wrapv is set and the original anti-range doesn't include
	         TYPE_MIN_VALUE, remember -TYPE_MIN_VALUE = TYPE_MIN_VALUE.  */
	      if (TYPE_OVERFLOW_WRAPS (type))
		{
		  tree type_min_value = TYPE_MIN_VALUE (type);

		  min = (vr0.min != type_min_value
			 ? int_const_binop (PLUS_EXPR, type_min_value,
					    integer_one_node)
			 : type_min_value);
		}
	      else
		{
		  if (overflow_infinity_range_p (&vr0))
		    min = negative_overflow_infinity (type);
		  else
		    min = TYPE_MIN_VALUE (type);
		}
	    }
	  else
	    {
	      /* All else has failed, so create the range [0, INF], even for
	         flag_wrapv since TYPE_MIN_VALUE is in the original
	         anti-range.  */
	      vr0.type = VR_RANGE;
	      min = build_int_cst (type, 0);
	      if (needs_overflow_infinity (type))
		{
		  if (supports_overflow_infinity (type))
		    max = positive_overflow_infinity (type);
		  else
		    {
		      set_value_range_to_varying (vr);
		      return;
		    }
		}
	      else
		max = TYPE_MAX_VALUE (type);
	    }
	}

      /* If the range contains zero then we know that the minimum value in the
         range will be zero.  */
      else if (range_includes_zero_p (vr0.min, vr0.max) == 1)
	{
	  if (cmp == 1)
	    max = min;
	  min = build_int_cst (type, 0);
	}
      else
	{
          /* If the range was reversed, swap MIN and MAX.  */
	  if (cmp == 1)
	    {
	      tree t = min;
	      min = max;
	      max = t;
	    }
	}

      cmp = compare_values (min, max);
      if (cmp == -2 || cmp == 1)
	{
	  /* If the new range has its limits swapped around (MIN > MAX),
	     then the operation caused one of them to wrap around, mark
	     the new range VARYING.  */
	  set_value_range_to_varying (vr);
	}
      else
	set_value_range (vr, vr0.type, min, max, NULL);
      return;
    }

  /* For unhandled operations fall back to varying.  */
  set_value_range_to_varying (vr);
  return;
}


/* Extract range information from a unary expression CODE OP0 based on
   the range of its operand with resulting type TYPE.
   The resulting range is stored in *VR.  */

static void
extract_range_from_unary_expr (value_range_t *vr, enum tree_code code,
			       tree type, tree op0)
{
  value_range_t vr0 = VR_INITIALIZER;

  /* Get value ranges for the operand.  For constant operands, create
     a new value range with the operand to simplify processing.  */
  if (TREE_CODE (op0) == SSA_NAME)
    vr0 = *(get_value_range (op0));
  else if (is_gimple_min_invariant (op0))
    set_value_range_to_value (&vr0, op0, NULL);
  else
    set_value_range_to_varying (&vr0);

  extract_range_from_unary_expr_1 (vr, code, type, &vr0, TREE_TYPE (op0));
}


/* Extract range information from a conditional expression STMT based on
   the ranges of each of its operands and the expression code.  */

static void
extract_range_from_cond_expr (value_range_t *vr, gimple stmt)
{
  tree op0, op1;
  value_range_t vr0 = VR_INITIALIZER;
  value_range_t vr1 = VR_INITIALIZER;

  /* Get value ranges for each operand.  For constant operands, create
     a new value range with the operand to simplify processing.  */
  op0 = gimple_assign_rhs2 (stmt);
  if (TREE_CODE (op0) == SSA_NAME)
    vr0 = *(get_value_range (op0));
  else if (is_gimple_min_invariant (op0))
    set_value_range_to_value (&vr0, op0, NULL);
  else
    set_value_range_to_varying (&vr0);

  op1 = gimple_assign_rhs3 (stmt);
  if (TREE_CODE (op1) == SSA_NAME)
    vr1 = *(get_value_range (op1));
  else if (is_gimple_min_invariant (op1))
    set_value_range_to_value (&vr1, op1, NULL);
  else
    set_value_range_to_varying (&vr1);

  /* The resulting value range is the union of the operand ranges */
  copy_value_range (vr, &vr0);
  vrp_meet (vr, &vr1);
}


/* Extract range information from a comparison expression EXPR based
   on the range of its operand and the expression code.  */

static void
extract_range_from_comparison (value_range_t *vr, enum tree_code code,
			       tree type, tree op0, tree op1)
{
  bool sop = false;
  tree val;

  val = vrp_evaluate_conditional_warnv_with_ops (code, op0, op1, false, &sop,
  						 NULL);

  /* A disadvantage of using a special infinity as an overflow
     representation is that we lose the ability to record overflow
     when we don't have an infinity.  So we have to ignore a result
     which relies on overflow.  */

  if (val && !is_overflow_infinity (val) && !sop)
    {
      /* Since this expression was found on the RHS of an assignment,
	 its type may be different from _Bool.  Convert VAL to EXPR's
	 type.  */
      val = fold_convert (type, val);
      if (is_gimple_min_invariant (val))
	set_value_range_to_value (vr, val, vr->equiv);
      else
	set_value_range (vr, VR_RANGE, val, val, vr->equiv);
    }
  else
    /* The result of a comparison is always true or false.  */
    set_value_range_to_truthvalue (vr, type);
}

/* Try to derive a nonnegative or nonzero range out of STMT relying
   primarily on generic routines in fold in conjunction with range data.
   Store the result in *VR */

static void
extract_range_basic (value_range_t *vr, gimple stmt)
{
  bool sop = false;
  tree type = gimple_expr_type (stmt);

  if (gimple_call_builtin_p (stmt, BUILT_IN_NORMAL))
    {
      tree fndecl = gimple_call_fndecl (stmt), arg;
      int mini, maxi, zerov = 0, prec;

      switch (DECL_FUNCTION_CODE (fndecl))
	{
	case BUILT_IN_CONSTANT_P:
	  /* If the call is __builtin_constant_p and the argument is a
	     function parameter resolve it to false.  This avoids bogus
	     array bound warnings.
	     ???  We could do this as early as inlining is finished.  */
	  arg = gimple_call_arg (stmt, 0);
	  if (TREE_CODE (arg) == SSA_NAME
	      && SSA_NAME_IS_DEFAULT_DEF (arg)
	      && TREE_CODE (SSA_NAME_VAR (arg)) == PARM_DECL)
	    {
	      set_value_range_to_null (vr, type);
	      return;
	    }
	  break;
	  /* Both __builtin_ffs* and __builtin_popcount return
	     [0, prec].  */
	CASE_INT_FN (BUILT_IN_FFS):
	CASE_INT_FN (BUILT_IN_POPCOUNT):
	  arg = gimple_call_arg (stmt, 0);
	  prec = TYPE_PRECISION (TREE_TYPE (arg));
	  mini = 0;
	  maxi = prec;
	  if (TREE_CODE (arg) == SSA_NAME)
	    {
	      value_range_t *vr0 = get_value_range (arg);
	      /* If arg is non-zero, then ffs or popcount
		 are non-zero.  */
	      if (((vr0->type == VR_RANGE
		    && range_includes_zero_p (vr0->min, vr0->max) == 0)
		   || (vr0->type == VR_ANTI_RANGE
		       && range_includes_zero_p (vr0->min, vr0->max) == 1))
		  && !is_overflow_infinity (vr0->min)
		  && !is_overflow_infinity (vr0->max))
		mini = 1;
	      /* If some high bits are known to be zero,
		 we can decrease the maximum.  */
	      if (vr0->type == VR_RANGE
		  && TREE_CODE (vr0->max) == INTEGER_CST
		  && !operand_less_p (vr0->min,
				      build_zero_cst (TREE_TYPE (vr0->min)))
		  && !is_overflow_infinity (vr0->max))
		maxi = tree_floor_log2 (vr0->max) + 1;
	    }
	  goto bitop_builtin;
	  /* __builtin_parity* returns [0, 1].  */
	CASE_INT_FN (BUILT_IN_PARITY):
	  mini = 0;
	  maxi = 1;
	  goto bitop_builtin;
	  /* __builtin_c[lt]z* return [0, prec-1], except for
	     when the argument is 0, but that is undefined behavior.
	     On many targets where the CLZ RTL or optab value is defined
	     for 0 the value is prec, so include that in the range
	     by default.  */
	CASE_INT_FN (BUILT_IN_CLZ):
	  arg = gimple_call_arg (stmt, 0);
	  prec = TYPE_PRECISION (TREE_TYPE (arg));
	  mini = 0;
	  maxi = prec;
	  if (optab_handler (clz_optab, TYPE_MODE (TREE_TYPE (arg)))
	      != CODE_FOR_nothing
	      && CLZ_DEFINED_VALUE_AT_ZERO (TYPE_MODE (TREE_TYPE (arg)),
					    zerov)
	      /* Handle only the single common value.  */
	      && zerov != prec)
	    /* Magic value to give up, unless vr0 proves
	       arg is non-zero.  */
	    mini = -2;
	  if (TREE_CODE (arg) == SSA_NAME)
	    {
	      value_range_t *vr0 = get_value_range (arg);
	      /* From clz of VR_RANGE minimum we can compute
		 result maximum.  */
	      if (vr0->type == VR_RANGE
		  && TREE_CODE (vr0->min) == INTEGER_CST
		  && !is_overflow_infinity (vr0->min))
		{
		  maxi = prec - 1 - tree_floor_log2 (vr0->min);
		  if (maxi != prec)
		    mini = 0;
		}
	      else if (vr0->type == VR_ANTI_RANGE
		       && integer_zerop (vr0->min)
		       && !is_overflow_infinity (vr0->min))
		{
		  maxi = prec - 1;
		  mini = 0;
		}
	      if (mini == -2)
		break;
	      /* From clz of VR_RANGE maximum we can compute
		 result minimum.  */
	      if (vr0->type == VR_RANGE
		  && TREE_CODE (vr0->max) == INTEGER_CST
		  && !is_overflow_infinity (vr0->max))
		{
		  mini = prec - 1 - tree_floor_log2 (vr0->max);
		  if (mini == prec)
		    break;
		}
	    }
	  if (mini == -2)
	    break;
	  goto bitop_builtin;
	  /* __builtin_ctz* return [0, prec-1], except for
	     when the argument is 0, but that is undefined behavior.
	     If there is a ctz optab for this mode and
	     CTZ_DEFINED_VALUE_AT_ZERO, include that in the range,
	     otherwise just assume 0 won't be seen.  */
	CASE_INT_FN (BUILT_IN_CTZ):
	  arg = gimple_call_arg (stmt, 0);
	  prec = TYPE_PRECISION (TREE_TYPE (arg));
	  mini = 0;
	  maxi = prec - 1;
	  if (optab_handler (ctz_optab, TYPE_MODE (TREE_TYPE (arg)))
	      != CODE_FOR_nothing
	      && CTZ_DEFINED_VALUE_AT_ZERO (TYPE_MODE (TREE_TYPE (arg)),
					    zerov))
	    {
	      /* Handle only the two common values.  */
	      if (zerov == -1)
		mini = -1;
	      else if (zerov == prec)
		maxi = prec;
	      else
		/* Magic value to give up, unless vr0 proves
		   arg is non-zero.  */
		mini = -2;
	    }
	  if (TREE_CODE (arg) == SSA_NAME)
	    {
	      value_range_t *vr0 = get_value_range (arg);
	      /* If arg is non-zero, then use [0, prec - 1].  */
	      if (((vr0->type == VR_RANGE
		    && integer_nonzerop (vr0->min))
		   || (vr0->type == VR_ANTI_RANGE
		       && integer_zerop (vr0->min)))
		  && !is_overflow_infinity (vr0->min))
		{
		  mini = 0;
		  maxi = prec - 1;
		}
	      /* If some high bits are known to be zero,
		 we can decrease the result maximum.  */
	      if (vr0->type == VR_RANGE
		  && TREE_CODE (vr0->max) == INTEGER_CST
		  && !is_overflow_infinity (vr0->max))
		{
		  maxi = tree_floor_log2 (vr0->max);
		  /* For vr0 [0, 0] give up.  */
		  if (maxi == -1)
		    break;
		}
	    }
	  if (mini == -2)
	    break;
	  goto bitop_builtin;
	  /* __builtin_clrsb* returns [0, prec-1].  */
	CASE_INT_FN (BUILT_IN_CLRSB):
	  arg = gimple_call_arg (stmt, 0);
	  prec = TYPE_PRECISION (TREE_TYPE (arg));
	  mini = 0;
	  maxi = prec - 1;
	  goto bitop_builtin;
	bitop_builtin:
	  set_value_range (vr, VR_RANGE, build_int_cst (type, mini),
			   build_int_cst (type, maxi), NULL);
	  return;
	default:
	  break;
	}
    }
  else if (is_gimple_call (stmt)
	   && gimple_call_internal_p (stmt))
    {
      enum tree_code subcode = ERROR_MARK;
      switch (gimple_call_internal_fn (stmt))
	{
	case IFN_UBSAN_CHECK_ADD:
	  subcode = PLUS_EXPR;
	  break;
	case IFN_UBSAN_CHECK_SUB:
	  subcode = MINUS_EXPR;
	  break;
	case IFN_UBSAN_CHECK_MUL:
	  subcode = MULT_EXPR;
	  break;
	default:
	  break;
	}
      if (subcode != ERROR_MARK)
	{
	  bool saved_flag_wrapv = flag_wrapv;
	  /* Pretend the arithmetics is wrapping.  If there is
	     any overflow, we'll complain, but will actually do
	     wrapping operation.  */
	  flag_wrapv = 1;
	  extract_range_from_binary_expr (vr, subcode, type,
					  gimple_call_arg (stmt, 0),
					  gimple_call_arg (stmt, 1));
	  flag_wrapv = saved_flag_wrapv;

	  /* If for both arguments vrp_valueize returned non-NULL,
	     this should have been already folded and if not, it
	     wasn't folded because of overflow.  Avoid removing the
	     UBSAN_CHECK_* calls in that case.  */
	  if (vr->type == VR_RANGE
	      && (vr->min == vr->max
		  || operand_equal_p (vr->min, vr->max, 0)))
	    set_value_range_to_varying (vr);
	  return;
	}
    }
  if (INTEGRAL_TYPE_P (type)
      && gimple_stmt_nonnegative_warnv_p (stmt, &sop))
    set_value_range_to_nonnegative (vr, type,
				    sop || stmt_overflow_infinity (stmt));
  else if (vrp_stmt_computes_nonzero (stmt, &sop)
	   && !sop)
    set_value_range_to_nonnull (vr, type);
  else
    set_value_range_to_varying (vr);
}


/* Try to compute a useful range out of assignment STMT and store it
   in *VR.  */

static void
extract_range_from_assignment (value_range_t *vr, gimple stmt)
{
  enum tree_code code = gimple_assign_rhs_code (stmt);

  if (code == ASSERT_EXPR)
    extract_range_from_assert (vr, gimple_assign_rhs1 (stmt));
  else if (code == SSA_NAME)
    extract_range_from_ssa_name (vr, gimple_assign_rhs1 (stmt));
  else if (TREE_CODE_CLASS (code) == tcc_binary)
    extract_range_from_binary_expr (vr, gimple_assign_rhs_code (stmt),
				    gimple_expr_type (stmt),
				    gimple_assign_rhs1 (stmt),
				    gimple_assign_rhs2 (stmt));
  else if (TREE_CODE_CLASS (code) == tcc_unary)
    extract_range_from_unary_expr (vr, gimple_assign_rhs_code (stmt),
				   gimple_expr_type (stmt),
				   gimple_assign_rhs1 (stmt));
  else if (code == COND_EXPR)
    extract_range_from_cond_expr (vr, stmt);
  else if (TREE_CODE_CLASS (code) == tcc_comparison)
    extract_range_from_comparison (vr, gimple_assign_rhs_code (stmt),
				   gimple_expr_type (stmt),
				   gimple_assign_rhs1 (stmt),
				   gimple_assign_rhs2 (stmt));
  else if (get_gimple_rhs_class (code) == GIMPLE_SINGLE_RHS
	   && is_gimple_min_invariant (gimple_assign_rhs1 (stmt)))
    set_value_range_to_value (vr, gimple_assign_rhs1 (stmt), NULL);
  else
    set_value_range_to_varying (vr);

  if (vr->type == VR_VARYING)
    extract_range_basic (vr, stmt);
}

/* Given a range VR, a LOOP and a variable VAR, determine whether it
   would be profitable to adjust VR using scalar evolution information
   for VAR.  If so, update VR with the new limits.  */

static void
adjust_range_with_scev (value_range_t *vr, struct loop *loop,
			gimple stmt, tree var)
{
  tree init, step, chrec, tmin, tmax, min, max, type, tem;
  enum ev_direction dir;

  /* TODO.  Don't adjust anti-ranges.  An anti-range may provide
     better opportunities than a regular range, but I'm not sure.  */
  if (vr->type == VR_ANTI_RANGE)
    return;

  chrec = instantiate_parameters (loop, analyze_scalar_evolution (loop, var));

  /* Like in PR19590, scev can return a constant function.  */
  if (is_gimple_min_invariant (chrec))
    {
      set_value_range_to_value (vr, chrec, vr->equiv);
      return;
    }

  if (TREE_CODE (chrec) != POLYNOMIAL_CHREC)
    return;

  init = initial_condition_in_loop_num (chrec, loop->num);
  tem = op_with_constant_singleton_value_range (init);
  if (tem)
    init = tem;
  step = evolution_part_in_loop_num (chrec, loop->num);
  tem = op_with_constant_singleton_value_range (step);
  if (tem)
    step = tem;

  /* If STEP is symbolic, we can't know whether INIT will be the
     minimum or maximum value in the range.  Also, unless INIT is
     a simple expression, compare_values and possibly other functions
     in tree-vrp won't be able to handle it.  */
  if (step == NULL_TREE
      || !is_gimple_min_invariant (step)
      || !valid_value_p (init))
    return;

  dir = scev_direction (chrec);
  if (/* Do not adjust ranges if we do not know whether the iv increases
	 or decreases,  ... */
      dir == EV_DIR_UNKNOWN
      /* ... or if it may wrap.  */
      || scev_probably_wraps_p (init, step, stmt, get_chrec_loop (chrec),
				true))
    return;

  /* We use TYPE_MIN_VALUE and TYPE_MAX_VALUE here instead of
     negative_overflow_infinity and positive_overflow_infinity,
     because we have concluded that the loop probably does not
     wrap.  */

  type = TREE_TYPE (var);
  if (POINTER_TYPE_P (type) || !TYPE_MIN_VALUE (type))
    tmin = lower_bound_in_type (type, type);
  else
    tmin = TYPE_MIN_VALUE (type);
  if (POINTER_TYPE_P (type) || !TYPE_MAX_VALUE (type))
    tmax = upper_bound_in_type (type, type);
  else
    tmax = TYPE_MAX_VALUE (type);

  /* Try to use estimated number of iterations for the loop to constrain the
     final value in the evolution.  */
  if (TREE_CODE (step) == INTEGER_CST
      && is_gimple_val (init)
      && (TREE_CODE (init) != SSA_NAME
	  || get_value_range (init)->type == VR_RANGE))
    {
      double_int nit;

      /* We are only entering here for loop header PHI nodes, so using
	 the number of latch executions is the correct thing to use.  */
      if (max_loop_iterations (loop, &nit))
	{
	  value_range_t maxvr = VR_INITIALIZER;
	  double_int dtmp;
	  bool unsigned_p = TYPE_UNSIGNED (TREE_TYPE (step));
	  bool overflow = false;

	  dtmp = tree_to_double_int (step)
		 .mul_with_sign (nit, unsigned_p, &overflow);
	  /* If the multiplication overflowed we can't do a meaningful
	     adjustment.  Likewise if the result doesn't fit in the type
	     of the induction variable.  For a signed type we have to
	     check whether the result has the expected signedness which
	     is that of the step as number of iterations is unsigned.  */
	  if (!overflow
	      && double_int_fits_to_tree_p (TREE_TYPE (init), dtmp)
	      && (unsigned_p
		  || ((dtmp.high ^ TREE_INT_CST_HIGH (step)) >= 0)))
	    {
	      tem = double_int_to_tree (TREE_TYPE (init), dtmp);
	      extract_range_from_binary_expr (&maxvr, PLUS_EXPR,
					      TREE_TYPE (init), init, tem);
	      /* Likewise if the addition did.  */
	      if (maxvr.type == VR_RANGE)
		{
		  tmin = maxvr.min;
		  tmax = maxvr.max;
		}
	    }
	}
    }

  if (vr->type == VR_VARYING || vr->type == VR_UNDEFINED)
    {
      min = tmin;
      max = tmax;

      /* For VARYING or UNDEFINED ranges, just about anything we get
	 from scalar evolutions should be better.  */

      if (dir == EV_DIR_DECREASES)
	max = init;
      else
	min = init;

      /* If we would create an invalid range, then just assume we
	 know absolutely nothing.  This may be over-conservative,
	 but it's clearly safe, and should happen only in unreachable
         parts of code, or for invalid programs.  */
      if (compare_values (min, max) == 1)
	return;

      set_value_range (vr, VR_RANGE, min, max, vr->equiv);
    }
  else if (vr->type == VR_RANGE)
    {
      min = vr->min;
      max = vr->max;

      if (dir == EV_DIR_DECREASES)
	{
	  /* INIT is the maximum value.  If INIT is lower than VR->MAX
	     but no smaller than VR->MIN, set VR->MAX to INIT.  */
	  if (compare_values (init, max) == -1)
	    max = init;

	  /* According to the loop information, the variable does not
	     overflow.  If we think it does, probably because of an
	     overflow due to arithmetic on a different INF value,
	     reset now.  */
	  if (is_negative_overflow_infinity (min)
	      || compare_values (min, tmin) == -1)
	    min = tmin;

	}
      else
	{
	  /* If INIT is bigger than VR->MIN, set VR->MIN to INIT.  */
	  if (compare_values (init, min) == 1)
	    min = init;

	  if (is_positive_overflow_infinity (max)
	      || compare_values (tmax, max) == -1)
	    max = tmax;
	}

      /* If we just created an invalid range with the minimum
	 greater than the maximum, we fail conservatively.
	 This should happen only in unreachable
	 parts of code, or for invalid programs.  */
      if (compare_values (min, max) == 1)
	return;

      set_value_range (vr, VR_RANGE, min, max, vr->equiv);
    }
}

/* Return true if VAR may overflow at STMT.  This checks any available
   loop information to see if we can determine that VAR does not
   overflow.  */

static bool
vrp_var_may_overflow (tree var, gimple stmt)
{
  struct loop *l;
  tree chrec, init, step;

  if (current_loops == NULL)
    return true;

  l = loop_containing_stmt (stmt);
  if (l == NULL
      || !loop_outer (l))
    return true;

  chrec = instantiate_parameters (l, analyze_scalar_evolution (l, var));
  if (TREE_CODE (chrec) != POLYNOMIAL_CHREC)
    return true;

  init = initial_condition_in_loop_num (chrec, l->num);
  step = evolution_part_in_loop_num (chrec, l->num);

  if (step == NULL_TREE
      || !is_gimple_min_invariant (step)
      || !valid_value_p (init))
    return true;

  /* If we get here, we know something useful about VAR based on the
     loop information.  If it wraps, it may overflow.  */

  if (scev_probably_wraps_p (init, step, stmt, get_chrec_loop (chrec),
			     true))
    return true;

  if (dump_file && (dump_flags & TDF_DETAILS) != 0)
    {
      print_generic_expr (dump_file, var, 0);
      fprintf (dump_file, ": loop information indicates does not overflow\n");
    }

  return false;
}


/* Given two numeric value ranges VR0, VR1 and a comparison code COMP:

   - Return BOOLEAN_TRUE_NODE if VR0 COMP VR1 always returns true for
     all the values in the ranges.

   - Return BOOLEAN_FALSE_NODE if the comparison always returns false.

   - Return NULL_TREE if it is not always possible to determine the
     value of the comparison.

   Also set *STRICT_OVERFLOW_P to indicate whether a range with an
   overflow infinity was used in the test.  */


static tree
compare_ranges (enum tree_code comp, value_range_t *vr0, value_range_t *vr1,
		bool *strict_overflow_p)
{
  /* VARYING or UNDEFINED ranges cannot be compared.  */
  if (vr0->type == VR_VARYING
      || vr0->type == VR_UNDEFINED
      || vr1->type == VR_VARYING
      || vr1->type == VR_UNDEFINED)
    return NULL_TREE;

  /* Anti-ranges need to be handled separately.  */
  if (vr0->type == VR_ANTI_RANGE || vr1->type == VR_ANTI_RANGE)
    {
      /* If both are anti-ranges, then we cannot compute any
	 comparison.  */
      if (vr0->type == VR_ANTI_RANGE && vr1->type == VR_ANTI_RANGE)
	return NULL_TREE;

      /* These comparisons are never statically computable.  */
      if (comp == GT_EXPR
	  || comp == GE_EXPR
	  || comp == LT_EXPR
	  || comp == LE_EXPR)
	return NULL_TREE;

      /* Equality can be computed only between a range and an
	 anti-range.  ~[VAL1, VAL2] == [VAL1, VAL2] is always false.  */
      if (vr0->type == VR_RANGE)
	{
	  /* To simplify processing, make VR0 the anti-range.  */
	  value_range_t *tmp = vr0;
	  vr0 = vr1;
	  vr1 = tmp;
	}

      gcc_assert (comp == NE_EXPR || comp == EQ_EXPR);

      if (compare_values_warnv (vr0->min, vr1->min, strict_overflow_p) == 0
	  && compare_values_warnv (vr0->max, vr1->max, strict_overflow_p) == 0)
	return (comp == NE_EXPR) ? boolean_true_node : boolean_false_node;

      return NULL_TREE;
    }

  if (!usable_range_p (vr0, strict_overflow_p)
      || !usable_range_p (vr1, strict_overflow_p))
    return NULL_TREE;

  /* Simplify processing.  If COMP is GT_EXPR or GE_EXPR, switch the
     operands around and change the comparison code.  */
  if (comp == GT_EXPR || comp == GE_EXPR)
    {
      value_range_t *tmp;
      comp = (comp == GT_EXPR) ? LT_EXPR : LE_EXPR;
      tmp = vr0;
      vr0 = vr1;
      vr1 = tmp;
    }

  if (comp == EQ_EXPR)
    {
      /* Equality may only be computed if both ranges represent
	 exactly one value.  */
      if (compare_values_warnv (vr0->min, vr0->max, strict_overflow_p) == 0
	  && compare_values_warnv (vr1->min, vr1->max, strict_overflow_p) == 0)
	{
	  int cmp_min = compare_values_warnv (vr0->min, vr1->min,
					      strict_overflow_p);
	  int cmp_max = compare_values_warnv (vr0->max, vr1->max,
					      strict_overflow_p);
	  if (cmp_min == 0 && cmp_max == 0)
	    return boolean_true_node;
	  else if (cmp_min != -2 && cmp_max != -2)
	    return boolean_false_node;
	}
      /* If [V0_MIN, V1_MAX] < [V1_MIN, V1_MAX] then V0 != V1.  */
      else if (compare_values_warnv (vr0->min, vr1->max,
				     strict_overflow_p) == 1
	       || compare_values_warnv (vr1->min, vr0->max,
					strict_overflow_p) == 1)
	return boolean_false_node;

      return NULL_TREE;
    }
  else if (comp == NE_EXPR)
    {
      int cmp1, cmp2;

      /* If VR0 is completely to the left or completely to the right
	 of VR1, they are always different.  Notice that we need to
	 make sure that both comparisons yield similar results to
	 avoid comparing values that cannot be compared at
	 compile-time.  */
      cmp1 = compare_values_warnv (vr0->max, vr1->min, strict_overflow_p);
      cmp2 = compare_values_warnv (vr0->min, vr1->max, strict_overflow_p);
      if ((cmp1 == -1 && cmp2 == -1) || (cmp1 == 1 && cmp2 == 1))
	return boolean_true_node;

      /* If VR0 and VR1 represent a single value and are identical,
	 return false.  */
      else if (compare_values_warnv (vr0->min, vr0->max,
				     strict_overflow_p) == 0
	       && compare_values_warnv (vr1->min, vr1->max,
					strict_overflow_p) == 0
	       && compare_values_warnv (vr0->min, vr1->min,
					strict_overflow_p) == 0
	       && compare_values_warnv (vr0->max, vr1->max,
					strict_overflow_p) == 0)
	return boolean_false_node;

      /* Otherwise, they may or may not be different.  */
      else
	return NULL_TREE;
    }
  else if (comp == LT_EXPR || comp == LE_EXPR)
    {
      int tst;

      /* If VR0 is to the left of VR1, return true.  */
      tst = compare_values_warnv (vr0->max, vr1->min, strict_overflow_p);
      if ((comp == LT_EXPR && tst == -1)
	  || (comp == LE_EXPR && (tst == -1 || tst == 0)))
	{
	  if (overflow_infinity_range_p (vr0)
	      || overflow_infinity_range_p (vr1))
	    *strict_overflow_p = true;
	  return boolean_true_node;
	}

      /* If VR0 is to the right of VR1, return false.  */
      tst = compare_values_warnv (vr0->min, vr1->max, strict_overflow_p);
      if ((comp == LT_EXPR && (tst == 0 || tst == 1))
	  || (comp == LE_EXPR && tst == 1))
	{
	  if (overflow_infinity_range_p (vr0)
	      || overflow_infinity_range_p (vr1))
	    *strict_overflow_p = true;
	  return boolean_false_node;
	}

      /* Otherwise, we don't know.  */
      return NULL_TREE;
    }

  gcc_unreachable ();
}


/* Given a value range VR, a value VAL and a comparison code COMP, return
   BOOLEAN_TRUE_NODE if VR COMP VAL always returns true for all the
   values in VR.  Return BOOLEAN_FALSE_NODE if the comparison
   always returns false.  Return NULL_TREE if it is not always
   possible to determine the value of the comparison.  Also set
   *STRICT_OVERFLOW_P to indicate whether a range with an overflow
   infinity was used in the test.  */

static tree
compare_range_with_value (enum tree_code comp, value_range_t *vr, tree val,
			  bool *strict_overflow_p)
{
  if (vr->type == VR_VARYING || vr->type == VR_UNDEFINED)
    return NULL_TREE;

  /* Anti-ranges need to be handled separately.  */
  if (vr->type == VR_ANTI_RANGE)
    {
      /* For anti-ranges, the only predicates that we can compute at
	 compile time are equality and inequality.  */
      if (comp == GT_EXPR
	  || comp == GE_EXPR
	  || comp == LT_EXPR
	  || comp == LE_EXPR)
	return NULL_TREE;

      /* ~[VAL_1, VAL_2] OP VAL is known if VAL_1 <= VAL <= VAL_2.  */
      if (value_inside_range (val, vr->min, vr->max) == 1)
	return (comp == NE_EXPR) ? boolean_true_node : boolean_false_node;

      return NULL_TREE;
    }

  if (!usable_range_p (vr, strict_overflow_p))
    return NULL_TREE;

  if (comp == EQ_EXPR)
    {
      /* EQ_EXPR may only be computed if VR represents exactly
	 one value.  */
      if (compare_values_warnv (vr->min, vr->max, strict_overflow_p) == 0)
	{
	  int cmp = compare_values_warnv (vr->min, val, strict_overflow_p);
	  if (cmp == 0)
	    return boolean_true_node;
	  else if (cmp == -1 || cmp == 1 || cmp == 2)
	    return boolean_false_node;
	}
      else if (compare_values_warnv (val, vr->min, strict_overflow_p) == -1
	       || compare_values_warnv (vr->max, val, strict_overflow_p) == -1)
	return boolean_false_node;

      return NULL_TREE;
    }
  else if (comp == NE_EXPR)
    {
      /* If VAL is not inside VR, then they are always different.  */
      if (compare_values_warnv (vr->max, val, strict_overflow_p) == -1
	  || compare_values_warnv (vr->min, val, strict_overflow_p) == 1)
	return boolean_true_node;

      /* If VR represents exactly one value equal to VAL, then return
	 false.  */
      if (compare_values_warnv (vr->min, vr->max, strict_overflow_p) == 0
	  && compare_values_warnv (vr->min, val, strict_overflow_p) == 0)
	return boolean_false_node;

      /* Otherwise, they may or may not be different.  */
      return NULL_TREE;
    }
  else if (comp == LT_EXPR || comp == LE_EXPR)
    {
      int tst;

      /* If VR is to the left of VAL, return true.  */
      tst = compare_values_warnv (vr->max, val, strict_overflow_p);
      if ((comp == LT_EXPR && tst == -1)
	  || (comp == LE_EXPR && (tst == -1 || tst == 0)))
	{
	  if (overflow_infinity_range_p (vr))
	    *strict_overflow_p = true;
	  return boolean_true_node;
	}

      /* If VR is to the right of VAL, return false.  */
      tst = compare_values_warnv (vr->min, val, strict_overflow_p);
      if ((comp == LT_EXPR && (tst == 0 || tst == 1))
	  || (comp == LE_EXPR && tst == 1))
	{
	  if (overflow_infinity_range_p (vr))
	    *strict_overflow_p = true;
	  return boolean_false_node;
	}

      /* Otherwise, we don't know.  */
      return NULL_TREE;
    }
  else if (comp == GT_EXPR || comp == GE_EXPR)
    {
      int tst;

      /* If VR is to the right of VAL, return true.  */
      tst = compare_values_warnv (vr->min, val, strict_overflow_p);
      if ((comp == GT_EXPR && tst == 1)
	  || (comp == GE_EXPR && (tst == 0 || tst == 1)))
	{
	  if (overflow_infinity_range_p (vr))
	    *strict_overflow_p = true;
	  return boolean_true_node;
	}

      /* If VR is to the left of VAL, return false.  */
      tst = compare_values_warnv (vr->max, val, strict_overflow_p);
      if ((comp == GT_EXPR && (tst == -1 || tst == 0))
	  || (comp == GE_EXPR && tst == -1))
	{
	  if (overflow_infinity_range_p (vr))
	    *strict_overflow_p = true;
	  return boolean_false_node;
	}

      /* Otherwise, we don't know.  */
      return NULL_TREE;
    }

  gcc_unreachable ();
}


/* Debugging dumps.  */

void dump_value_range (FILE *, value_range_t *);
void debug_value_range (value_range_t *);
void dump_all_value_ranges (FILE *);
void debug_all_value_ranges (void);
void dump_vr_equiv (FILE *, bitmap);
void debug_vr_equiv (bitmap);


/* Dump value range VR to FILE.  */

void
dump_value_range (FILE *file, value_range_t *vr)
{
  if (vr == NULL)
    fprintf (file, "[]");
  else if (vr->type == VR_UNDEFINED)
    fprintf (file, "UNDEFINED");
  else if (vr->type == VR_RANGE || vr->type == VR_ANTI_RANGE)
    {
      tree type = TREE_TYPE (vr->min);

      fprintf (file, "%s[", (vr->type == VR_ANTI_RANGE) ? "~" : "");

      if (is_negative_overflow_infinity (vr->min))
	fprintf (file, "-INF(OVF)");
      else if (INTEGRAL_TYPE_P (type)
	       && !TYPE_UNSIGNED (type)
	       && vrp_val_is_min (vr->min))
	fprintf (file, "-INF");
      else
	print_generic_expr (file, vr->min, 0);

      fprintf (file, ", ");

      if (is_positive_overflow_infinity (vr->max))
	fprintf (file, "+INF(OVF)");
      else if (INTEGRAL_TYPE_P (type)
	       && vrp_val_is_max (vr->max))
	fprintf (file, "+INF");
      else
	print_generic_expr (file, vr->max, 0);

      fprintf (file, "]");

      if (vr->equiv)
	{
	  bitmap_iterator bi;
	  unsigned i, c = 0;

	  fprintf (file, "  EQUIVALENCES: { ");

	  EXECUTE_IF_SET_IN_BITMAP (vr->equiv, 0, i, bi)
	    {
	      print_generic_expr (file, ssa_name (i), 0);
	      fprintf (file, " ");
	      c++;
	    }

	  fprintf (file, "} (%u elements)", c);
	}
    }
  else if (vr->type == VR_VARYING)
    fprintf (file, "VARYING");
  else
    fprintf (file, "INVALID RANGE");
}


/* Dump value range VR to stderr.  */

DEBUG_FUNCTION void
debug_value_range (value_range_t *vr)
{
  dump_value_range (stderr, vr);
  fprintf (stderr, "\n");
}


/* Dump value ranges of all SSA_NAMEs to FILE.  */

void
dump_all_value_ranges (FILE *file)
{
  size_t i;

  for (i = 0; i < num_vr_values; i++)
    {
      if (vr_value[i])
	{
	  print_generic_expr (file, ssa_name (i), 0);
	  fprintf (file, ": ");
	  dump_value_range (file, vr_value[i]);
	  fprintf (file, "\n");
	}
    }

  fprintf (file, "\n");
}


/* Dump all value ranges to stderr.  */

DEBUG_FUNCTION void
debug_all_value_ranges (void)
{
  dump_all_value_ranges (stderr);
}


/* Given a COND_EXPR COND of the form 'V OP W', and an SSA name V,
   create a new SSA name N and return the assertion assignment
   'V = ASSERT_EXPR <V, V OP W>'.  */

static gimple
build_assert_expr_for (tree cond, tree v)
{
  tree a;
  gimple assertion;

  gcc_assert (TREE_CODE (v) == SSA_NAME
	      && COMPARISON_CLASS_P (cond));

  a = build2 (ASSERT_EXPR, TREE_TYPE (v), v, cond);
  assertion = gimple_build_assign (NULL_TREE, a);

  /* The new ASSERT_EXPR, creates a new SSA name that replaces the
     operand of the ASSERT_EXPR.  Create it so the new name and the old one
     are registered in the replacement table so that we can fix the SSA web
     after adding all the ASSERT_EXPRs.  */
  create_new_def_for (v, assertion, NULL);

  return assertion;
}


/* Return false if EXPR is a predicate expression involving floating
   point values.  */

static inline bool
fp_predicate (gimple stmt)
{
  GIMPLE_CHECK (stmt, GIMPLE_COND);

  return FLOAT_TYPE_P (TREE_TYPE (gimple_cond_lhs (stmt)));
}

/* If the range of values taken by OP can be inferred after STMT executes,
   return the comparison code (COMP_CODE_P) and value (VAL_P) that
   describes the inferred range.  Return true if a range could be
   inferred.  */

static bool
infer_value_range (gimple stmt, tree op, enum tree_code *comp_code_p, tree *val_p)
{
  *val_p = NULL_TREE;
  *comp_code_p = ERROR_MARK;

  /* Do not attempt to infer anything in names that flow through
     abnormal edges.  */
  if (SSA_NAME_OCCURS_IN_ABNORMAL_PHI (op))
    return false;

  /* Similarly, don't infer anything from statements that may throw
     exceptions. ??? Relax this requirement?  */
  if (stmt_could_throw_p (stmt))
    return false;

  /* If STMT is the last statement of a basic block with no normal
     successors, there is no point inferring anything about any of its
     operands.  We would not be able to find a proper insertion point
     for the assertion, anyway.  */
  if (stmt_ends_bb_p (stmt))
    {
      edge_iterator ei;
      edge e;

      FOR_EACH_EDGE (e, ei, gimple_bb (stmt)->succs)
	if (!(e->flags & EDGE_ABNORMAL))
	  break;
      if (e == NULL)
	return false;
    }

  if (infer_nonnull_range (stmt, op, true, true))
    {
      *val_p = build_int_cst (TREE_TYPE (op), 0);
      *comp_code_p = NE_EXPR;
      return true;
    }

  return false;
}


void dump_asserts_for (FILE *, tree);
void debug_asserts_for (tree);
void dump_all_asserts (FILE *);
void debug_all_asserts (void);

/* Dump all the registered assertions for NAME to FILE.  */

void
dump_asserts_for (FILE *file, tree name)
{
  assert_locus_t loc;

  fprintf (file, "Assertions to be inserted for ");
  print_generic_expr (file, name, 0);
  fprintf (file, "\n");

  loc = asserts_for[SSA_NAME_VERSION (name)];
  while (loc)
    {
      fprintf (file, "\t");
      print_gimple_stmt (file, gsi_stmt (loc->si), 0, 0);
      fprintf (file, "\n\tBB #%d", loc->bb->index);
      if (loc->e)
	{
	  fprintf (file, "\n\tEDGE %d->%d", loc->e->src->index,
	           loc->e->dest->index);
	  dump_edge_info (file, loc->e, dump_flags, 0);
	}
      fprintf (file, "\n\tPREDICATE: ");
      print_generic_expr (file, name, 0);
      fprintf (file, " %s ", get_tree_code_name (loc->comp_code));
      print_generic_expr (file, loc->val, 0);
      fprintf (file, "\n\n");
      loc = loc->next;
    }

  fprintf (file, "\n");
}


/* Dump all the registered assertions for NAME to stderr.  */

DEBUG_FUNCTION void
debug_asserts_for (tree name)
{
  dump_asserts_for (stderr, name);
}


/* Dump all the registered assertions for all the names to FILE.  */

void
dump_all_asserts (FILE *file)
{
  unsigned i;
  bitmap_iterator bi;

  fprintf (file, "\nASSERT_EXPRs to be inserted\n\n");
  EXECUTE_IF_SET_IN_BITMAP (need_assert_for, 0, i, bi)
    dump_asserts_for (file, ssa_name (i));
  fprintf (file, "\n");
}


/* Dump all the registered assertions for all the names to stderr.  */

DEBUG_FUNCTION void
debug_all_asserts (void)
{
  dump_all_asserts (stderr);
}


/* If NAME doesn't have an ASSERT_EXPR registered for asserting
   'EXPR COMP_CODE VAL' at a location that dominates block BB or
   E->DEST, then register this location as a possible insertion point
   for ASSERT_EXPR <NAME, EXPR COMP_CODE VAL>.

   BB, E and SI provide the exact insertion point for the new
   ASSERT_EXPR.  If BB is NULL, then the ASSERT_EXPR is to be inserted
   on edge E.  Otherwise, if E is NULL, the ASSERT_EXPR is inserted on
   BB.  If SI points to a COND_EXPR or a SWITCH_EXPR statement, then E
   must not be NULL.  */

static void
register_new_assert_for (tree name, tree expr,
			 enum tree_code comp_code,
			 tree val,
			 basic_block bb,
			 edge e,
			 gimple_stmt_iterator si)
{
  assert_locus_t n, loc, last_loc;
  basic_block dest_bb;

  gcc_checking_assert (bb == NULL || e == NULL);

  if (e == NULL)
    gcc_checking_assert (gimple_code (gsi_stmt (si)) != GIMPLE_COND
			 && gimple_code (gsi_stmt (si)) != GIMPLE_SWITCH);

  /* Never build an assert comparing against an integer constant with
     TREE_OVERFLOW set.  This confuses our undefined overflow warning
     machinery.  */
  if (TREE_OVERFLOW_P (val))
    val = drop_tree_overflow (val);

  /* The new assertion A will be inserted at BB or E.  We need to
     determine if the new location is dominated by a previously
     registered location for A.  If we are doing an edge insertion,
     assume that A will be inserted at E->DEST.  Note that this is not
     necessarily true.

     If E is a critical edge, it will be split.  But even if E is
     split, the new block will dominate the same set of blocks that
     E->DEST dominates.

     The reverse, however, is not true, blocks dominated by E->DEST
     will not be dominated by the new block created to split E.  So,
     if the insertion location is on a critical edge, we will not use
     the new location to move another assertion previously registered
     at a block dominated by E->DEST.  */
  dest_bb = (bb) ? bb : e->dest;

  /* If NAME already has an ASSERT_EXPR registered for COMP_CODE and
     VAL at a block dominating DEST_BB, then we don't need to insert a new
     one.  Similarly, if the same assertion already exists at a block
     dominated by DEST_BB and the new location is not on a critical
     edge, then update the existing location for the assertion (i.e.,
     move the assertion up in the dominance tree).

     Note, this is implemented as a simple linked list because there
     should not be more than a handful of assertions registered per
     name.  If this becomes a performance problem, a table hashed by
     COMP_CODE and VAL could be implemented.  */
  loc = asserts_for[SSA_NAME_VERSION (name)];
  last_loc = loc;
  while (loc)
    {
      if (loc->comp_code == comp_code
	  && (loc->val == val
	      || operand_equal_p (loc->val, val, 0))
	  && (loc->expr == expr
	      || operand_equal_p (loc->expr, expr, 0)))
	{
	  /* If E is not a critical edge and DEST_BB
	     dominates the existing location for the assertion, move
	     the assertion up in the dominance tree by updating its
	     location information.  */
	  if ((e == NULL || !EDGE_CRITICAL_P (e))
	      && dominated_by_p (CDI_DOMINATORS, loc->bb, dest_bb))
	    {
	      loc->bb = dest_bb;
	      loc->e = e;
	      loc->si = si;
	      return;
	    }
	}

      /* Update the last node of the list and move to the next one.  */
      last_loc = loc;
      loc = loc->next;
    }

  /* If we didn't find an assertion already registered for
     NAME COMP_CODE VAL, add a new one at the end of the list of
     assertions associated with NAME.  */
  n = XNEW (struct assert_locus_d);
  n->bb = dest_bb;
  n->e = e;
  n->si = si;
  n->comp_code = comp_code;
  n->val = val;
  n->expr = expr;
  n->next = NULL;

  if (last_loc)
    last_loc->next = n;
  else
    asserts_for[SSA_NAME_VERSION (name)] = n;

  bitmap_set_bit (need_assert_for, SSA_NAME_VERSION (name));
}

/* (COND_OP0 COND_CODE COND_OP1) is a predicate which uses NAME.
   Extract a suitable test code and value and store them into *CODE_P and
   *VAL_P so the predicate is normalized to NAME *CODE_P *VAL_P.

   If no extraction was possible, return FALSE, otherwise return TRUE.

   If INVERT is true, then we invert the result stored into *CODE_P.  */

static bool
extract_code_and_val_from_cond_with_ops (tree name, enum tree_code cond_code,
					 tree cond_op0, tree cond_op1,
					 bool invert, enum tree_code *code_p,
					 tree *val_p)
{
  enum tree_code comp_code;
  tree val;

  /* Otherwise, we have a comparison of the form NAME COMP VAL
     or VAL COMP NAME.  */
  if (name == cond_op1)
    {
      /* If the predicate is of the form VAL COMP NAME, flip
	 COMP around because we need to register NAME as the
	 first operand in the predicate.  */
      comp_code = swap_tree_comparison (cond_code);
      val = cond_op0;
    }
  else
    {
      /* The comparison is of the form NAME COMP VAL, so the
	 comparison code remains unchanged.  */
      comp_code = cond_code;
      val = cond_op1;
    }

  /* Invert the comparison code as necessary.  */
  if (invert)
    comp_code = invert_tree_comparison (comp_code, 0);

  /* VRP does not handle float types.  */
  if (SCALAR_FLOAT_TYPE_P (TREE_TYPE (val)))
    return false;

  /* Do not register always-false predicates.
     FIXME:  this works around a limitation in fold() when dealing with
     enumerations.  Given 'enum { N1, N2 } x;', fold will not
     fold 'if (x > N2)' to 'if (0)'.  */
  if ((comp_code == GT_EXPR || comp_code == LT_EXPR)
      && INTEGRAL_TYPE_P (TREE_TYPE (val)))
    {
      tree min = TYPE_MIN_VALUE (TREE_TYPE (val));
      tree max = TYPE_MAX_VALUE (TREE_TYPE (val));

      if (comp_code == GT_EXPR
	  && (!max
	      || compare_values (val, max) == 0))
	return false;

      if (comp_code == LT_EXPR
	  && (!min
	      || compare_values (val, min) == 0))
	return false;
    }
  *code_p = comp_code;
  *val_p = val;
  return true;
}

/* Find out smallest RES where RES > VAL && (RES & MASK) == RES, if any
   (otherwise return VAL).  VAL and MASK must be zero-extended for
   precision PREC.  If SGNBIT is non-zero, first xor VAL with SGNBIT
   (to transform signed values into unsigned) and at the end xor
   SGNBIT back.  */

static double_int
masked_increment (double_int val, double_int mask, double_int sgnbit,
		  unsigned int prec)
{
  double_int bit = double_int_one, res;
  unsigned int i;

  val ^= sgnbit;
  for (i = 0; i < prec; i++, bit += bit)
    {
      res = mask;
      if ((res & bit).is_zero ())
	continue;
      res = bit - double_int_one;
      res = (val + bit).and_not (res);
      res &= mask;
      if (res.ugt (val))
	return res ^ sgnbit;
    }
  return val ^ sgnbit;
}

/* Try to register an edge assertion for SSA name NAME on edge E for
   the condition COND contributing to the conditional jump pointed to by BSI.
   Invert the condition COND if INVERT is true.
   Return true if an assertion for NAME could be registered.  */

static bool
register_edge_assert_for_2 (tree name, edge e, gimple_stmt_iterator bsi,
			    enum tree_code cond_code,
			    tree cond_op0, tree cond_op1, bool invert)
{
  tree val;
  enum tree_code comp_code;
  bool retval = false;

  if (!extract_code_and_val_from_cond_with_ops (name, cond_code,
						cond_op0,
						cond_op1,
						invert, &comp_code, &val))
    return false;

  /* Only register an ASSERT_EXPR if NAME was found in the sub-graph
     reachable from E.  */
  if (live_on_edge (e, name)
      && !has_single_use (name))
    {
      register_new_assert_for (name, name, comp_code, val, NULL, e, bsi);
      retval = true;
    }

  /* In the case of NAME <= CST and NAME being defined as
     NAME = (unsigned) NAME2 + CST2 we can assert NAME2 >= -CST2
     and NAME2 <= CST - CST2.  We can do the same for NAME > CST.
     This catches range and anti-range tests.  */
  if ((comp_code == LE_EXPR
       || comp_code == GT_EXPR)
      && TREE_CODE (val) == INTEGER_CST
      && TYPE_UNSIGNED (TREE_TYPE (val)))
    {
      gimple def_stmt = SSA_NAME_DEF_STMT (name);
      tree cst2 = NULL_TREE, name2 = NULL_TREE, name3 = NULL_TREE;

      /* Extract CST2 from the (optional) addition.  */
      if (is_gimple_assign (def_stmt)
	  && gimple_assign_rhs_code (def_stmt) == PLUS_EXPR)
	{
	  name2 = gimple_assign_rhs1 (def_stmt);
	  cst2 = gimple_assign_rhs2 (def_stmt);
	  if (TREE_CODE (name2) == SSA_NAME
	      && TREE_CODE (cst2) == INTEGER_CST)
	    def_stmt = SSA_NAME_DEF_STMT (name2);
	}

      /* Extract NAME2 from the (optional) sign-changing cast.  */
      if (gimple_assign_cast_p (def_stmt))
	{
	  if (CONVERT_EXPR_CODE_P (gimple_assign_rhs_code (def_stmt))
	      && ! TYPE_UNSIGNED (TREE_TYPE (gimple_assign_rhs1 (def_stmt)))
	      && (TYPE_PRECISION (gimple_expr_type (def_stmt))
		  == TYPE_PRECISION (TREE_TYPE (gimple_assign_rhs1 (def_stmt)))))
	    name3 = gimple_assign_rhs1 (def_stmt);
	}

      /* If name3 is used later, create an ASSERT_EXPR for it.  */
      if (name3 != NULL_TREE
      	  && TREE_CODE (name3) == SSA_NAME
	  && (cst2 == NULL_TREE
	      || TREE_CODE (cst2) == INTEGER_CST)
	  && INTEGRAL_TYPE_P (TREE_TYPE (name3))
	  && live_on_edge (e, name3)
	  && !has_single_use (name3))
	{
	  tree tmp;

	  /* Build an expression for the range test.  */
	  tmp = build1 (NOP_EXPR, TREE_TYPE (name), name3);
	  if (cst2 != NULL_TREE)
	    tmp = build2 (PLUS_EXPR, TREE_TYPE (name), tmp, cst2);

	  if (dump_file)
	    {
	      fprintf (dump_file, "Adding assert for ");
	      print_generic_expr (dump_file, name3, 0);
	      fprintf (dump_file, " from ");
	      print_generic_expr (dump_file, tmp, 0);
	      fprintf (dump_file, "\n");
	    }

	  register_new_assert_for (name3, tmp, comp_code, val, NULL, e, bsi);

	  retval = true;
	}

      /* If name2 is used later, create an ASSERT_EXPR for it.  */
      if (name2 != NULL_TREE
      	  && TREE_CODE (name2) == SSA_NAME
	  && TREE_CODE (cst2) == INTEGER_CST
	  && INTEGRAL_TYPE_P (TREE_TYPE (name2))
	  && live_on_edge (e, name2)
	  && !has_single_use (name2))
	{
	  tree tmp;

	  /* Build an expression for the range test.  */
	  tmp = name2;
	  if (TREE_TYPE (name) != TREE_TYPE (name2))
	    tmp = build1 (NOP_EXPR, TREE_TYPE (name), tmp);
	  if (cst2 != NULL_TREE)
	    tmp = build2 (PLUS_EXPR, TREE_TYPE (name), tmp, cst2);

	  if (dump_file)
	    {
	      fprintf (dump_file, "Adding assert for ");
	      print_generic_expr (dump_file, name2, 0);
	      fprintf (dump_file, " from ");
	      print_generic_expr (dump_file, tmp, 0);
	      fprintf (dump_file, "\n");
	    }

	  register_new_assert_for (name2, tmp, comp_code, val, NULL, e, bsi);

	  retval = true;
	}
    }

  /* In the case of post-in/decrement tests like if (i++) ... and uses
     of the in/decremented value on the edge the extra name we want to
     assert for is not on the def chain of the name compared.  Instead
     it is in the set of use stmts.  */
  if ((comp_code == NE_EXPR
       || comp_code == EQ_EXPR)
      && TREE_CODE (val) == INTEGER_CST)
    {
      imm_use_iterator ui;
      gimple use_stmt;
      FOR_EACH_IMM_USE_STMT (use_stmt, ui, name)
	{
	  /* Cut off to use-stmts that are in the predecessor.  */
	  if (gimple_bb (use_stmt) != e->src)
	    continue;

	  if (!is_gimple_assign (use_stmt))
	    continue;

	  enum tree_code code = gimple_assign_rhs_code (use_stmt);
	  if (code != PLUS_EXPR
	      && code != MINUS_EXPR)
	    continue;

	  tree cst = gimple_assign_rhs2 (use_stmt);
	  if (TREE_CODE (cst) != INTEGER_CST)
	    continue;

	  tree name2 = gimple_assign_lhs (use_stmt);
	  if (live_on_edge (e, name2))
	    {
	      cst = int_const_binop (code, val, cst);
	      register_new_assert_for (name2, name2, comp_code, cst,
				       NULL, e, bsi);
	      retval = true;
	    }
	}
    }
 
  if (TREE_CODE_CLASS (comp_code) == tcc_comparison
      && TREE_CODE (val) == INTEGER_CST)
    {
      gimple def_stmt = SSA_NAME_DEF_STMT (name);
      tree name2 = NULL_TREE, names[2], cst2 = NULL_TREE;
      tree val2 = NULL_TREE;
      double_int mask = double_int_zero;
      unsigned int prec = TYPE_PRECISION (TREE_TYPE (val));
      unsigned int nprec = prec;
      enum tree_code rhs_code = ERROR_MARK;

      if (is_gimple_assign (def_stmt))
	rhs_code = gimple_assign_rhs_code (def_stmt);

      /* Add asserts for NAME cmp CST and NAME being defined
	 as NAME = (int) NAME2.  */
      if (!TYPE_UNSIGNED (TREE_TYPE (val))
	  && (comp_code == LE_EXPR || comp_code == LT_EXPR
	      || comp_code == GT_EXPR || comp_code == GE_EXPR)
	  && gimple_assign_cast_p (def_stmt))
	{
	  name2 = gimple_assign_rhs1 (def_stmt);
	  if (CONVERT_EXPR_CODE_P (rhs_code)
	      && INTEGRAL_TYPE_P (TREE_TYPE (name2))
	      && TYPE_UNSIGNED (TREE_TYPE (name2))
	      && prec == TYPE_PRECISION (TREE_TYPE (name2))
	      && (comp_code == LE_EXPR || comp_code == GT_EXPR
		  || !tree_int_cst_equal (val,
					  TYPE_MIN_VALUE (TREE_TYPE (val))))
	      && live_on_edge (e, name2)
	      && !has_single_use (name2))
	    {
	      tree tmp, cst;
	      enum tree_code new_comp_code = comp_code;

	      cst = fold_convert (TREE_TYPE (name2),
				  TYPE_MIN_VALUE (TREE_TYPE (val)));
	      /* Build an expression for the range test.  */
	      tmp = build2 (PLUS_EXPR, TREE_TYPE (name2), name2, cst);
	      cst = fold_build2 (PLUS_EXPR, TREE_TYPE (name2), cst,
				 fold_convert (TREE_TYPE (name2), val));
	      if (comp_code == LT_EXPR || comp_code == GE_EXPR)
		{
		  new_comp_code = comp_code == LT_EXPR ? LE_EXPR : GT_EXPR;
		  cst = fold_build2 (MINUS_EXPR, TREE_TYPE (name2), cst,
				     build_int_cst (TREE_TYPE (name2), 1));
		}

	      if (dump_file)
		{
		  fprintf (dump_file, "Adding assert for ");
		  print_generic_expr (dump_file, name2, 0);
		  fprintf (dump_file, " from ");
		  print_generic_expr (dump_file, tmp, 0);
		  fprintf (dump_file, "\n");
		}

	      register_new_assert_for (name2, tmp, new_comp_code, cst, NULL,
				       e, bsi);

	      retval = true;
	    }
	}

      /* Add asserts for NAME cmp CST and NAME being defined as
	 NAME = NAME2 >> CST2.

	 Extract CST2 from the right shift.  */
      if (rhs_code == RSHIFT_EXPR)
	{
	  name2 = gimple_assign_rhs1 (def_stmt);
	  cst2 = gimple_assign_rhs2 (def_stmt);
	  if (TREE_CODE (name2) == SSA_NAME
	      && tree_fits_uhwi_p (cst2)
	      && INTEGRAL_TYPE_P (TREE_TYPE (name2))
	      && IN_RANGE (tree_to_uhwi (cst2), 1, prec - 1)
	      && prec <= HOST_BITS_PER_DOUBLE_INT
	      && prec == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (val)))
	      && live_on_edge (e, name2)
	      && !has_single_use (name2))
	    {
	      mask = double_int::mask (tree_to_uhwi (cst2));
	      val2 = fold_binary (LSHIFT_EXPR, TREE_TYPE (val), val, cst2);
	    }
	}
      if (val2 != NULL_TREE
	  && TREE_CODE (val2) == INTEGER_CST
	  && simple_cst_equal (fold_build2 (RSHIFT_EXPR,
					    TREE_TYPE (val),
					    val2, cst2), val))
	{
	  enum tree_code new_comp_code = comp_code;
	  tree tmp, new_val;

	  tmp = name2;
	  if (comp_code == EQ_EXPR || comp_code == NE_EXPR)
	    {
	      if (!TYPE_UNSIGNED (TREE_TYPE (val)))
		{
		  tree type = build_nonstandard_integer_type (prec, 1);
		  tmp = build1 (NOP_EXPR, type, name2);
		  val2 = fold_convert (type, val2);
		}
	      tmp = fold_build2 (MINUS_EXPR, TREE_TYPE (tmp), tmp, val2);
	      new_val = double_int_to_tree (TREE_TYPE (tmp), mask);
	      new_comp_code = comp_code == EQ_EXPR ? LE_EXPR : GT_EXPR;
	    }
	  else if (comp_code == LT_EXPR || comp_code == GE_EXPR)
	    {
	      double_int minval
		= double_int::min_value (prec, TYPE_UNSIGNED (TREE_TYPE (val)));
	      new_val = val2;
	      if (minval == tree_to_double_int (new_val))
		new_val = NULL_TREE;
	    }
	  else
	    {
	      double_int maxval
		= double_int::max_value (prec, TYPE_UNSIGNED (TREE_TYPE (val)));
	      mask |= tree_to_double_int (val2);
	      if (mask == maxval)
		new_val = NULL_TREE;
	      else
		new_val = double_int_to_tree (TREE_TYPE (val2), mask);
	    }

	  if (new_val)
	    {
	      if (dump_file)
		{
		  fprintf (dump_file, "Adding assert for ");
		  print_generic_expr (dump_file, name2, 0);
		  fprintf (dump_file, " from ");
		  print_generic_expr (dump_file, tmp, 0);
		  fprintf (dump_file, "\n");
		}

	      register_new_assert_for (name2, tmp, new_comp_code, new_val,
				       NULL, e, bsi);
	      retval = true;
	    }
	}

      /* Add asserts for NAME cmp CST and NAME being defined as
	 NAME = NAME2 & CST2.

	 Extract CST2 from the and.

	 Also handle
	 NAME = (unsigned) NAME2;
	 casts where NAME's type is unsigned and has smaller precision
	 than NAME2's type as if it was NAME = NAME2 & MASK.  */
      names[0] = NULL_TREE;
      names[1] = NULL_TREE;
      cst2 = NULL_TREE;
      if (rhs_code == BIT_AND_EXPR
	  || (CONVERT_EXPR_CODE_P (rhs_code)
	      && TREE_CODE (TREE_TYPE (val)) == INTEGER_TYPE
	      && TYPE_UNSIGNED (TREE_TYPE (val))
	      && TYPE_PRECISION (TREE_TYPE (gimple_assign_rhs1 (def_stmt)))
		 > prec
	      && !retval))
	{
	  name2 = gimple_assign_rhs1 (def_stmt);
	  if (rhs_code == BIT_AND_EXPR)
	    cst2 = gimple_assign_rhs2 (def_stmt);
	  else
	    {
	      cst2 = TYPE_MAX_VALUE (TREE_TYPE (val));
	      nprec = TYPE_PRECISION (TREE_TYPE (name2));
	    }
	  if (TREE_CODE (name2) == SSA_NAME
	      && INTEGRAL_TYPE_P (TREE_TYPE (name2))
	      && TREE_CODE (cst2) == INTEGER_CST
	      && !integer_zerop (cst2)
	      && nprec <= HOST_BITS_PER_DOUBLE_INT
	      && (nprec > 1
		  || TYPE_UNSIGNED (TREE_TYPE (val))))
	    {
	      gimple def_stmt2 = SSA_NAME_DEF_STMT (name2);
	      if (gimple_assign_cast_p (def_stmt2))
		{
		  names[1] = gimple_assign_rhs1 (def_stmt2);
		  if (!CONVERT_EXPR_CODE_P (gimple_assign_rhs_code (def_stmt2))
		      || !INTEGRAL_TYPE_P (TREE_TYPE (names[1]))
		      || (TYPE_PRECISION (TREE_TYPE (name2))
			  != TYPE_PRECISION (TREE_TYPE (names[1])))
		      || !live_on_edge (e, names[1])
		      || has_single_use (names[1]))
		    names[1] = NULL_TREE;
		}
	      if (live_on_edge (e, name2)
		  && !has_single_use (name2))
		names[0] = name2;
	    }
	}
      if (names[0] || names[1])
	{
	  double_int minv, maxv = double_int_zero, valv, cst2v;
	  double_int tem, sgnbit;
	  bool valid_p = false, valn = false, cst2n = false;
	  enum tree_code ccode = comp_code;

	  valv = tree_to_double_int (val).zext (nprec);
	  cst2v = tree_to_double_int (cst2).zext (nprec);
	  if (!TYPE_UNSIGNED (TREE_TYPE (val)))
	    {
	      valn = valv.sext (nprec).is_negative ();
	      cst2n = cst2v.sext (nprec).is_negative ();
	    }
	  /* If CST2 doesn't have most significant bit set,
	     but VAL is negative, we have comparison like
	     if ((x & 0x123) > -4) (always true).  Just give up.  */
	  if (!cst2n && valn)
	    ccode = ERROR_MARK;
	  if (cst2n)
	    sgnbit = double_int_one.llshift (nprec - 1, nprec).zext (nprec);
	  else
	    sgnbit = double_int_zero;
	  minv = valv & cst2v;
	  switch (ccode)
	    {
	    case EQ_EXPR:
	      /* Minimum unsigned value for equality is VAL & CST2
		 (should be equal to VAL, otherwise we probably should
		 have folded the comparison into false) and
		 maximum unsigned value is VAL | ~CST2.  */
	      maxv = valv | ~cst2v;
	      maxv = maxv.zext (nprec);
	      valid_p = true;
	      break;
	    case NE_EXPR:
	      tem = valv | ~cst2v;
	      tem = tem.zext (nprec);
	      /* If VAL is 0, handle (X & CST2) != 0 as (X & CST2) > 0U.  */
	      if (valv.is_zero ())
		{
		  cst2n = false;
		  sgnbit = double_int_zero;
		  goto gt_expr;
		}
	      /* If (VAL | ~CST2) is all ones, handle it as
		 (X & CST2) < VAL.  */
	      if (tem == double_int::mask (nprec))
		{
		  cst2n = false;
		  valn = false;
		  sgnbit = double_int_zero;
		  goto lt_expr;
		}
	      if (!cst2n
		  && cst2v.sext (nprec).is_negative ())
		sgnbit
		  = double_int_one.llshift (nprec - 1, nprec).zext (nprec);
	      if (!sgnbit.is_zero ())
		{
		  if (valv == sgnbit)
		    {
		      cst2n = true;
		      valn = true;
		      goto gt_expr;
		    }
		  if (tem == double_int::mask (nprec - 1))
		    {
		      cst2n = true;
		      goto lt_expr;
		    }
		  if (!cst2n)
		    sgnbit = double_int_zero;
		}
	      break;
	    case GE_EXPR:
	      /* Minimum unsigned value for >= if (VAL & CST2) == VAL
		 is VAL and maximum unsigned value is ~0.  For signed
		 comparison, if CST2 doesn't have most significant bit
		 set, handle it similarly.  If CST2 has MSB set,
		 the minimum is the same, and maximum is ~0U/2.  */
	      if (minv != valv)
		{
		  /* If (VAL & CST2) != VAL, X & CST2 can't be equal to
		     VAL.  */
		  minv = masked_increment (valv, cst2v, sgnbit, nprec);
		  if (minv == valv)
		    break;
		}
	      maxv = double_int::mask (nprec - (cst2n ? 1 : 0));
	      valid_p = true;
	      break;
	    case GT_EXPR:
	    gt_expr:
	      /* Find out smallest MINV where MINV > VAL
		 && (MINV & CST2) == MINV, if any.  If VAL is signed and
		 CST2 has MSB set, compute it biased by 1 << (nprec - 1).  */
	      minv = masked_increment (valv, cst2v, sgnbit, nprec);
	      if (minv == valv)
		break;
	      maxv = double_int::mask (nprec - (cst2n ? 1 : 0));
	      valid_p = true;
	      break;
	    case LE_EXPR:
	      /* Minimum unsigned value for <= is 0 and maximum
		 unsigned value is VAL | ~CST2 if (VAL & CST2) == VAL.
		 Otherwise, find smallest VAL2 where VAL2 > VAL
		 && (VAL2 & CST2) == VAL2 and use (VAL2 - 1) | ~CST2
		 as maximum.
		 For signed comparison, if CST2 doesn't have most
		 significant bit set, handle it similarly.  If CST2 has
		 MSB set, the maximum is the same and minimum is INT_MIN.  */
	      if (minv == valv)
		maxv = valv;
	      else
		{
		  maxv = masked_increment (valv, cst2v, sgnbit, nprec);
		  if (maxv == valv)
		    break;
		  maxv -= double_int_one;
		}
	      maxv |= ~cst2v;
	      maxv = maxv.zext (nprec);
	      minv = sgnbit;
	      valid_p = true;
	      break;
	    case LT_EXPR:
	    lt_expr:
	      /* Minimum unsigned value for < is 0 and maximum
		 unsigned value is (VAL-1) | ~CST2 if (VAL & CST2) == VAL.
		 Otherwise, find smallest VAL2 where VAL2 > VAL
		 && (VAL2 & CST2) == VAL2 and use (VAL2 - 1) | ~CST2
		 as maximum.
		 For signed comparison, if CST2 doesn't have most
		 significant bit set, handle it similarly.  If CST2 has
		 MSB set, the maximum is the same and minimum is INT_MIN.  */
	      if (minv == valv)
		{
		  if (valv == sgnbit)
		    break;
		  maxv = valv;
		}
	      else
		{
		  maxv = masked_increment (valv, cst2v, sgnbit, nprec);
		  if (maxv == valv)
		    break;
		}
	      maxv -= double_int_one;
	      maxv |= ~cst2v;
	      maxv = maxv.zext (nprec);
	      minv = sgnbit;
	      valid_p = true;
	      break;
	    default:
	      break;
	    }
	  if (valid_p
	      && (maxv - minv).zext (nprec) != double_int::mask (nprec))
	    {
	      tree tmp, new_val, type;
	      int i;

	      for (i = 0; i < 2; i++)
		if (names[i])
		  {
		    double_int maxv2 = maxv;
		    tmp = names[i];
		    type = TREE_TYPE (names[i]);
		    if (!TYPE_UNSIGNED (type))
		      {
			type = build_nonstandard_integer_type (nprec, 1);
			tmp = build1 (NOP_EXPR, type, names[i]);
		      }
		    if (!minv.is_zero ())
		      {
			tmp = build2 (PLUS_EXPR, type, tmp,
				      double_int_to_tree (type, -minv));
			maxv2 = maxv - minv;
		      }
		    new_val = double_int_to_tree (type, maxv2);

		    if (dump_file)
		      {
			fprintf (dump_file, "Adding assert for ");
			print_generic_expr (dump_file, names[i], 0);
			fprintf (dump_file, " from ");
			print_generic_expr (dump_file, tmp, 0);
			fprintf (dump_file, "\n");
		      }

		    register_new_assert_for (names[i], tmp, LE_EXPR,
					     new_val, NULL, e, bsi);
		    retval = true;
		  }
	    }
	}
    }

  return retval;
}

/* OP is an operand of a truth value expression which is known to have
   a particular value.  Register any asserts for OP and for any
   operands in OP's defining statement.

   If CODE is EQ_EXPR, then we want to register OP is zero (false),
   if CODE is NE_EXPR, then we want to register OP is nonzero (true).   */

static bool
register_edge_assert_for_1 (tree op, enum tree_code code,
			    edge e, gimple_stmt_iterator bsi)
{
  bool retval = false;
  gimple op_def;
  tree val;
  enum tree_code rhs_code;

  /* We only care about SSA_NAMEs.  */
  if (TREE_CODE (op) != SSA_NAME)
    return false;

  /* We know that OP will have a zero or nonzero value.  If OP is used
     more than once go ahead and register an assert for OP.  */
  if (live_on_edge (e, op)
      && !has_single_use (op))
    {
      val = build_int_cst (TREE_TYPE (op), 0);
      register_new_assert_for (op, op, code, val, NULL, e, bsi);
      retval = true;
    }

  /* Now look at how OP is set.  If it's set from a comparison,
     a truth operation or some bit operations, then we may be able
     to register information about the operands of that assignment.  */
  op_def = SSA_NAME_DEF_STMT (op);
  if (gimple_code (op_def) != GIMPLE_ASSIGN)
    return retval;

  rhs_code = gimple_assign_rhs_code (op_def);

  if (TREE_CODE_CLASS (rhs_code) == tcc_comparison)
    {
      bool invert = (code == EQ_EXPR ? true : false);
      tree op0 = gimple_assign_rhs1 (op_def);
      tree op1 = gimple_assign_rhs2 (op_def);

      if (TREE_CODE (op0) == SSA_NAME)
        retval |= register_edge_assert_for_2 (op0, e, bsi, rhs_code, op0, op1,
					      invert);
      if (TREE_CODE (op1) == SSA_NAME)
        retval |= register_edge_assert_for_2 (op1, e, bsi, rhs_code, op0, op1,
					      invert);
    }
  else if ((code == NE_EXPR
	    && gimple_assign_rhs_code (op_def) == BIT_AND_EXPR)
	   || (code == EQ_EXPR
	       && gimple_assign_rhs_code (op_def) == BIT_IOR_EXPR))
    {
      /* Recurse on each operand.  */
      tree op0 = gimple_assign_rhs1 (op_def);
      tree op1 = gimple_assign_rhs2 (op_def);
      if (TREE_CODE (op0) == SSA_NAME
	  && has_single_use (op0))
	retval |= register_edge_assert_for_1 (op0, code, e, bsi);
      if (TREE_CODE (op1) == SSA_NAME
	  && has_single_use (op1))
	retval |= register_edge_assert_for_1 (op1, code, e, bsi);
    }
  else if (gimple_assign_rhs_code (op_def) == BIT_NOT_EXPR
	   && TYPE_PRECISION (TREE_TYPE (gimple_assign_lhs (op_def))) == 1)
    {
      /* Recurse, flipping CODE.  */
      code = invert_tree_comparison (code, false);
      retval |= register_edge_assert_for_1 (gimple_assign_rhs1 (op_def),
					    code, e, bsi);
    }
  else if (gimple_assign_rhs_code (op_def) == SSA_NAME)
    {
      /* Recurse through the copy.  */
      retval |= register_edge_assert_for_1 (gimple_assign_rhs1 (op_def),
					    code, e, bsi);
    }
  else if (CONVERT_EXPR_CODE_P (gimple_assign_rhs_code (op_def)))
    {
      /* Recurse through the type conversion, unless it is a narrowing
	 conversion or conversion from non-integral type.  */
      tree rhs = gimple_assign_rhs1 (op_def);
      if (INTEGRAL_TYPE_P (TREE_TYPE (rhs))
	  && (TYPE_PRECISION (TREE_TYPE (rhs))
	      <= TYPE_PRECISION (TREE_TYPE (op))))
	retval |= register_edge_assert_for_1 (rhs, code, e, bsi);
    }

  return retval;
}

/* Try to register an edge assertion for SSA name NAME on edge E for
   the condition COND contributing to the conditional jump pointed to by SI.
   Return true if an assertion for NAME could be registered.  */

static bool
register_edge_assert_for (tree name, edge e, gimple_stmt_iterator si,
			  enum tree_code cond_code, tree cond_op0,
			  tree cond_op1)
{
  tree val;
  enum tree_code comp_code;
  bool retval = false;
  bool is_else_edge = (e->flags & EDGE_FALSE_VALUE) != 0;

  /* Do not attempt to infer anything in names that flow through
     abnormal edges.  */
  if (SSA_NAME_OCCURS_IN_ABNORMAL_PHI (name))
    return false;

  if (!extract_code_and_val_from_cond_with_ops (name, cond_code,
						cond_op0, cond_op1,
						is_else_edge,
						&comp_code, &val))
    return false;

  /* Register ASSERT_EXPRs for name.  */
  retval |= register_edge_assert_for_2 (name, e, si, cond_code, cond_op0,
					cond_op1, is_else_edge);


  /* If COND is effectively an equality test of an SSA_NAME against
     the value zero or one, then we may be able to assert values
     for SSA_NAMEs which flow into COND.  */

  /* In the case of NAME == 1 or NAME != 0, for BIT_AND_EXPR defining
     statement of NAME we can assert both operands of the BIT_AND_EXPR
     have nonzero value.  */
  if (((comp_code == EQ_EXPR && integer_onep (val))
       || (comp_code == NE_EXPR && integer_zerop (val))))
    {
      gimple def_stmt = SSA_NAME_DEF_STMT (name);

      if (is_gimple_assign (def_stmt)
	  && gimple_assign_rhs_code (def_stmt) == BIT_AND_EXPR)
	{
	  tree op0 = gimple_assign_rhs1 (def_stmt);
	  tree op1 = gimple_assign_rhs2 (def_stmt);
	  retval |= register_edge_assert_for_1 (op0, NE_EXPR, e, si);
	  retval |= register_edge_assert_for_1 (op1, NE_EXPR, e, si);
	}
    }

  /* In the case of NAME == 0 or NAME != 1, for BIT_IOR_EXPR defining
     statement of NAME we can assert both operands of the BIT_IOR_EXPR
     have zero value.  */
  if (((comp_code == EQ_EXPR && integer_zerop (val))
       || (comp_code == NE_EXPR && integer_onep (val))))
    {
      gimple def_stmt = SSA_NAME_DEF_STMT (name);

      /* For BIT_IOR_EXPR only if NAME == 0 both operands have
	 necessarily zero value, or if type-precision is one.  */
      if (is_gimple_assign (def_stmt)
	  && (gimple_assign_rhs_code (def_stmt) == BIT_IOR_EXPR
	      && (TYPE_PRECISION (TREE_TYPE (name)) == 1
	          || comp_code == EQ_EXPR)))
	{
	  tree op0 = gimple_assign_rhs1 (def_stmt);
	  tree op1 = gimple_assign_rhs2 (def_stmt);
	  retval |= register_edge_assert_for_1 (op0, EQ_EXPR, e, si);
	  retval |= register_edge_assert_for_1 (op1, EQ_EXPR, e, si);
	}
    }

  return retval;
}


/* Determine whether the outgoing edges of BB should receive an
   ASSERT_EXPR for each of the operands of BB's LAST statement.
   The last statement of BB must be a COND_EXPR.

   If any of the sub-graphs rooted at BB have an interesting use of
   the predicate operands, an assert location node is added to the
   list of assertions for the corresponding operands.  */

static bool
find_conditional_asserts (basic_block bb, gimple last)
{
  bool need_assert;
  gimple_stmt_iterator bsi;
  tree op;
  edge_iterator ei;
  edge e;
  ssa_op_iter iter;

  need_assert = false;
  bsi = gsi_for_stmt (last);

  /* Look for uses of the operands in each of the sub-graphs
     rooted at BB.  We need to check each of the outgoing edges
     separately, so that we know what kind of ASSERT_EXPR to
     insert.  */
  FOR_EACH_EDGE (e, ei, bb->succs)
    {
      if (e->dest == bb)
	continue;

      /* Register the necessary assertions for each operand in the
	 conditional predicate.  */
      FOR_EACH_SSA_TREE_OPERAND (op, last, iter, SSA_OP_USE)
	{
	  need_assert |= register_edge_assert_for (op, e, bsi,
						   gimple_cond_code (last),
						   gimple_cond_lhs (last),
						   gimple_cond_rhs (last));
	}
    }

  return need_assert;
}

struct case_info
{
  tree expr;
  basic_block bb;
};

/* Compare two case labels sorting first by the destination bb index
   and then by the case value.  */

static int
compare_case_labels (const void *p1, const void *p2)
{
  const struct case_info *ci1 = (const struct case_info *) p1;
  const struct case_info *ci2 = (const struct case_info *) p2;
  int idx1 = ci1->bb->index;
  int idx2 = ci2->bb->index;

  if (idx1 < idx2)
    return -1;
  else if (idx1 == idx2)
    {
      /* Make sure the default label is first in a group.  */
      if (!CASE_LOW (ci1->expr))
	return -1;
      else if (!CASE_LOW (ci2->expr))
	return 1;
      else
	return tree_int_cst_compare (CASE_LOW (ci1->expr),
				     CASE_LOW (ci2->expr));
    }
  else
    return 1;
}

/* Determine whether the outgoing edges of BB should receive an
   ASSERT_EXPR for each of the operands of BB's LAST statement.
   The last statement of BB must be a SWITCH_EXPR.

   If any of the sub-graphs rooted at BB have an interesting use of
   the predicate operands, an assert location node is added to the
   list of assertions for the corresponding operands.  */

static bool
find_switch_asserts (basic_block bb, gimple last)
{
  bool need_assert;
  gimple_stmt_iterator bsi;
  tree op;
  edge e;
  struct case_info *ci;
  size_t n = gimple_switch_num_labels (last);
#if GCC_VERSION >= 4000
  unsigned int idx;
#else
  /* Work around GCC 3.4 bug (PR 37086).  */
  volatile unsigned int idx;
#endif

  need_assert = false;
  bsi = gsi_for_stmt (last);
  op = gimple_switch_index (last);
  if (TREE_CODE (op) != SSA_NAME)
    return false;

  /* Build a vector of case labels sorted by destination label.  */
  ci = XNEWVEC (struct case_info, n);
  for (idx = 0; idx < n; ++idx)
    {
      ci[idx].expr = gimple_switch_label (last, idx);
      ci[idx].bb = label_to_block (CASE_LABEL (ci[idx].expr));
    }
  qsort (ci, n, sizeof (struct case_info), compare_case_labels);

  for (idx = 0; idx < n; ++idx)
    {
      tree min, max;
      tree cl = ci[idx].expr;
      basic_block cbb = ci[idx].bb;

      min = CASE_LOW (cl);
      max = CASE_HIGH (cl);

      /* If there are multiple case labels with the same destination
	 we need to combine them to a single value range for the edge.  */
      if (idx + 1 < n && cbb == ci[idx + 1].bb)
	{
	  /* Skip labels until the last of the group.  */
	  do {
	    ++idx;
	  } while (idx < n && cbb == ci[idx].bb);
	  --idx;

	  /* Pick up the maximum of the case label range.  */
	  if (CASE_HIGH (ci[idx].expr))
	    max = CASE_HIGH (ci[idx].expr);
	  else
	    max = CASE_LOW (ci[idx].expr);
	}

      /* Nothing to do if the range includes the default label until we
	 can register anti-ranges.  */
      if (min == NULL_TREE)
	continue;

      /* Find the edge to register the assert expr on.  */
      e = find_edge (bb, cbb);

      /* Register the necessary assertions for the operand in the
	 SWITCH_EXPR.  */
      need_assert |= register_edge_assert_for (op, e, bsi,
					       max ? GE_EXPR : EQ_EXPR,
					       op,
					       fold_convert (TREE_TYPE (op),
							     min));
      if (max)
	{
	  need_assert |= register_edge_assert_for (op, e, bsi, LE_EXPR,
						   op,
						   fold_convert (TREE_TYPE (op),
								 max));
	}
    }

  XDELETEVEC (ci);
  return need_assert;
}


/* Traverse all the statements in block BB looking for statements that
   may generate useful assertions for the SSA names in their operand.
   If a statement produces a useful assertion A for name N_i, then the
   list of assertions already generated for N_i is scanned to
   determine if A is actually needed.

   If N_i already had the assertion A at a location dominating the
   current location, then nothing needs to be done.  Otherwise, the
   new location for A is recorded instead.

   1- For every statement S in BB, all the variables used by S are
      added to bitmap FOUND_IN_SUBGRAPH.

   2- If statement S uses an operand N in a way that exposes a known
      value range for N, then if N was not already generated by an
      ASSERT_EXPR, create a new assert location for N.  For instance,
      if N is a pointer and the statement dereferences it, we can
      assume that N is not NULL.

   3- COND_EXPRs are a special case of #2.  We can derive range
      information from the predicate but need to insert different
      ASSERT_EXPRs for each of the sub-graphs rooted at the
      conditional block.  If the last statement of BB is a conditional
      expression of the form 'X op Y', then

      a) Remove X and Y from the set FOUND_IN_SUBGRAPH.

      b) If the conditional is the only entry point to the sub-graph
	 corresponding to the THEN_CLAUSE, recurse into it.  On
	 return, if X and/or Y are marked in FOUND_IN_SUBGRAPH, then
	 an ASSERT_EXPR is added for the corresponding variable.

      c) Repeat step (b) on the ELSE_CLAUSE.

      d) Mark X and Y in FOUND_IN_SUBGRAPH.

      For instance,

	    if (a == 9)
	      b = a;
	    else
	      b = c + 1;

      In this case, an assertion on the THEN clause is useful to
      determine that 'a' is always 9 on that edge.  However, an assertion
      on the ELSE clause would be unnecessary.

   4- If BB does not end in a conditional expression, then we recurse
      into BB's dominator children.

   At the end of the recursive traversal, every SSA name will have a
   list of locations where ASSERT_EXPRs should be added.  When a new
   location for name N is found, it is registered by calling
   register_new_assert_for.  That function keeps track of all the
   registered assertions to prevent adding unnecessary assertions.
   For instance, if a pointer P_4 is dereferenced more than once in a
   dominator tree, only the location dominating all the dereference of
   P_4 will receive an ASSERT_EXPR.

   If this function returns true, then it means that there are names
   for which we need to generate ASSERT_EXPRs.  Those assertions are
   inserted by process_assert_insertions.  */

static bool
find_assert_locations_1 (basic_block bb, sbitmap live)
{
  gimple_stmt_iterator si;
  gimple last;
  bool need_assert;

  need_assert = false;
  last = last_stmt (bb);

  /* If BB's last statement is a conditional statement involving integer
     operands, determine if we need to add ASSERT_EXPRs.  */
  if (last
      && gimple_code (last) == GIMPLE_COND
      && !fp_predicate (last)
      && !ZERO_SSA_OPERANDS (last, SSA_OP_USE))
    need_assert |= find_conditional_asserts (bb, last);

  /* If BB's last statement is a switch statement involving integer
     operands, determine if we need to add ASSERT_EXPRs.  */
  if (last
      && gimple_code (last) == GIMPLE_SWITCH
      && !ZERO_SSA_OPERANDS (last, SSA_OP_USE))
    need_assert |= find_switch_asserts (bb, last);

  /* Traverse all the statements in BB marking used names and looking
     for statements that may infer assertions for their used operands.  */
  for (si = gsi_last_bb (bb); !gsi_end_p (si); gsi_prev (&si))
    {
      gimple stmt;
      tree op;
      ssa_op_iter i;

      stmt = gsi_stmt (si);

      if (is_gimple_debug (stmt))
	continue;

      /* See if we can derive an assertion for any of STMT's operands.  */
      FOR_EACH_SSA_TREE_OPERAND (op, stmt, i, SSA_OP_USE)
	{
	  tree value;
	  enum tree_code comp_code;

	  /* If op is not live beyond this stmt, do not bother to insert
	     asserts for it.  */
	  if (!bitmap_bit_p (live, SSA_NAME_VERSION (op)))
	    continue;

	  /* If OP is used in such a way that we can infer a value
	     range for it, and we don't find a previous assertion for
	     it, create a new assertion location node for OP.  */
	  if (infer_value_range (stmt, op, &comp_code, &value))
	    {
	      /* If we are able to infer a nonzero value range for OP,
		 then walk backwards through the use-def chain to see if OP
		 was set via a typecast.

		 If so, then we can also infer a nonzero value range
		 for the operand of the NOP_EXPR.  */
	      if (comp_code == NE_EXPR && integer_zerop (value))
		{
		  tree t = op;
		  gimple def_stmt = SSA_NAME_DEF_STMT (t);

		  while (is_gimple_assign (def_stmt)
			 && gimple_assign_rhs_code (def_stmt)  == NOP_EXPR
			 && TREE_CODE
			     (gimple_assign_rhs1 (def_stmt)) == SSA_NAME
			 && POINTER_TYPE_P
			     (TREE_TYPE (gimple_assign_rhs1 (def_stmt))))
		    {
		      t = gimple_assign_rhs1 (def_stmt);
		      def_stmt = SSA_NAME_DEF_STMT (t);

		      /* Note we want to register the assert for the
			 operand of the NOP_EXPR after SI, not after the
			 conversion.  */
		      if (! has_single_use (t))
			{
			  register_new_assert_for (t, t, comp_code, value,
						   bb, NULL, si);
			  need_assert = true;
			}
		    }
		}

	      register_new_assert_for (op, op, comp_code, value, bb, NULL, si);
	      need_assert = true;
	    }
	}

      /* Update live.  */
      FOR_EACH_SSA_TREE_OPERAND (op, stmt, i, SSA_OP_USE)
	bitmap_set_bit (live, SSA_NAME_VERSION (op));
      FOR_EACH_SSA_TREE_OPERAND (op, stmt, i, SSA_OP_DEF)
	bitmap_clear_bit (live, SSA_NAME_VERSION (op));
    }

  /* Traverse all PHI nodes in BB, updating live.  */
  for (si = gsi_start_phis (bb); !gsi_end_p (si); gsi_next (&si))
    {
      use_operand_p arg_p;
      ssa_op_iter i;
      gimple phi = gsi_stmt (si);
      tree res = gimple_phi_result (phi);

      if (virtual_operand_p (res))
	continue;

      FOR_EACH_PHI_ARG (arg_p, phi, i, SSA_OP_USE)
	{
	  tree arg = USE_FROM_PTR (arg_p);
	  if (TREE_CODE (arg) == SSA_NAME)
	    bitmap_set_bit (live, SSA_NAME_VERSION (arg));
	}

      bitmap_clear_bit (live, SSA_NAME_VERSION (res));
    }

  return need_assert;
}

/* Do an RPO walk over the function computing SSA name liveness
   on-the-fly and deciding on assert expressions to insert.
   Returns true if there are assert expressions to be inserted.  */

static bool
find_assert_locations (void)
{
  int *rpo = XNEWVEC (int, last_basic_block_for_fn (cfun));
  int *bb_rpo = XNEWVEC (int, last_basic_block_for_fn (cfun));
  int *last_rpo = XCNEWVEC (int, last_basic_block_for_fn (cfun));
  int rpo_cnt, i;
  bool need_asserts;

  live = XCNEWVEC (sbitmap, last_basic_block_for_fn (cfun));
  rpo_cnt = pre_and_rev_post_order_compute (NULL, rpo, false);
  for (i = 0; i < rpo_cnt; ++i)
    bb_rpo[rpo[i]] = i;

  /* Pre-seed loop latch liveness from loop header PHI nodes.  Due to
     the order we compute liveness and insert asserts we otherwise
     fail to insert asserts into the loop latch.  */
  loop_p loop;
  FOR_EACH_LOOP (loop, 0)
    {
      i = loop->latch->index;
      unsigned int j = single_succ_edge (loop->latch)->dest_idx;
      for (gimple_stmt_iterator gsi = gsi_start_phis (loop->header);
	   !gsi_end_p (gsi); gsi_next (&gsi))
	{
	  gimple phi = gsi_stmt (gsi);
	  if (virtual_operand_p (gimple_phi_result (phi)))
	    continue;
	  tree arg = gimple_phi_arg_def (phi, j);
	  if (TREE_CODE (arg) == SSA_NAME)
	    {
	      if (live[i] == NULL)
		{
		  live[i] = sbitmap_alloc (num_ssa_names);
		  bitmap_clear (live[i]);
		}
	      bitmap_set_bit (live[i], SSA_NAME_VERSION (arg));
	    }
	}
    }

  need_asserts = false;
  for (i = rpo_cnt - 1; i >= 0; --i)
    {
      basic_block bb = BASIC_BLOCK_FOR_FN (cfun, rpo[i]);
      edge e;
      edge_iterator ei;

      if (!live[rpo[i]])
	{
	  live[rpo[i]] = sbitmap_alloc (num_ssa_names);
	  bitmap_clear (live[rpo[i]]);
	}

      /* Process BB and update the live information with uses in
         this block.  */
      need_asserts |= find_assert_locations_1 (bb, live[rpo[i]]);

      /* Merge liveness into the predecessor blocks and free it.  */
      if (!bitmap_empty_p (live[rpo[i]]))
	{
	  int pred_rpo = i;
	  FOR_EACH_EDGE (e, ei, bb->preds)
	    {
	      int pred = e->src->index;
	      if ((e->flags & EDGE_DFS_BACK) || pred == ENTRY_BLOCK)
		continue;

	      if (!live[pred])
		{
		  live[pred] = sbitmap_alloc (num_ssa_names);
		  bitmap_clear (live[pred]);
		}
	      bitmap_ior (live[pred], live[pred], live[rpo[i]]);

	      if (bb_rpo[pred] < pred_rpo)
		pred_rpo = bb_rpo[pred];
	    }

	  /* Record the RPO number of the last visited block that needs
	     live information from this block.  */
	  last_rpo[rpo[i]] = pred_rpo;
	}
      else
	{
	  sbitmap_free (live[rpo[i]]);
	  live[rpo[i]] = NULL;
	}

      /* We can free all successors live bitmaps if all their
         predecessors have been visited already.  */
      FOR_EACH_EDGE (e, ei, bb->succs)
	if (last_rpo[e->dest->index] == i
	    && live[e->dest->index])
	  {
	    sbitmap_free (live[e->dest->index]);
	    live[e->dest->index] = NULL;
	  }
    }

  XDELETEVEC (rpo);
  XDELETEVEC (bb_rpo);
  XDELETEVEC (last_rpo);
  for (i = 0; i < last_basic_block_for_fn (cfun); ++i)
    if (live[i])
      sbitmap_free (live[i]);
  XDELETEVEC (live);

  return need_asserts;
}

/* Create an ASSERT_EXPR for NAME and insert it in the location
   indicated by LOC.  Return true if we made any edge insertions.  */

static bool
process_assert_insertions_for (tree name, assert_locus_t loc)
{
  /* Build the comparison expression NAME_i COMP_CODE VAL.  */
  gimple stmt;
  tree cond;
  gimple assert_stmt;
  edge_iterator ei;
  edge e;

  /* If we have X <=> X do not insert an assert expr for that.  */
  if (loc->expr == loc->val)
    return false;

  cond = build2 (loc->comp_code, boolean_type_node, loc->expr, loc->val);
  assert_stmt = build_assert_expr_for (cond, name);
  if (loc->e)
    {
      /* We have been asked to insert the assertion on an edge.  This
	 is used only by COND_EXPR and SWITCH_EXPR assertions.  */
      gcc_checking_assert (gimple_code (gsi_stmt (loc->si)) == GIMPLE_COND
			   || (gimple_code (gsi_stmt (loc->si))
			       == GIMPLE_SWITCH));

      gsi_insert_on_edge (loc->e, assert_stmt);
      return true;
    }

  /* Otherwise, we can insert right after LOC->SI iff the
     statement must not be the last statement in the block.  */
  stmt = gsi_stmt (loc->si);
  if (!stmt_ends_bb_p (stmt))
    {
      gsi_insert_after (&loc->si, assert_stmt, GSI_SAME_STMT);
      return false;
    }

  /* If STMT must be the last statement in BB, we can only insert new
     assertions on the non-abnormal edge out of BB.  Note that since
     STMT is not control flow, there may only be one non-abnormal edge
     out of BB.  */
  FOR_EACH_EDGE (e, ei, loc->bb->succs)
    if (!(e->flags & EDGE_ABNORMAL))
      {
	gsi_insert_on_edge (e, assert_stmt);
	return true;
      }

  gcc_unreachable ();
}


/* Process all the insertions registered for every name N_i registered
   in NEED_ASSERT_FOR.  The list of assertions to be inserted are
   found in ASSERTS_FOR[i].  */

static void
process_assert_insertions (void)
{
  unsigned i;
  bitmap_iterator bi;
  bool update_edges_p = false;
  int num_asserts = 0;

  if (dump_file && (dump_flags & TDF_DETAILS))
    dump_all_asserts (dump_file);

  EXECUTE_IF_SET_IN_BITMAP (need_assert_for, 0, i, bi)
    {
      assert_locus_t loc = asserts_for[i];
      gcc_assert (loc);

      while (loc)
	{
	  assert_locus_t next = loc->next;
	  update_edges_p |= process_assert_insertions_for (ssa_name (i), loc);
	  free (loc);
	  loc = next;
	  num_asserts++;
	}
    }

  if (update_edges_p)
    gsi_commit_edge_inserts ();

  statistics_counter_event (cfun, "Number of ASSERT_EXPR expressions inserted",
			    num_asserts);
}


/* Traverse the flowgraph looking for conditional jumps to insert range
   expressions.  These range expressions are meant to provide information
   to optimizations that need to reason in terms of value ranges.  They
   will not be expanded into RTL.  For instance, given:

   x = ...
   y = ...
   if (x < y)
     y = x - 2;
   else
     x = y + 3;

   this pass will transform the code into:

   x = ...
   y = ...
   if (x < y)
    {
      x = ASSERT_EXPR <x, x < y>
      y = x - 2
    }
   else
    {
      y = ASSERT_EXPR <y, x <= y>
      x = y + 3
    }

   The idea is that once copy and constant propagation have run, other
   optimizations will be able to determine what ranges of values can 'x'
   take in different paths of the code, simply by checking the reaching
   definition of 'x'.  */

static void
insert_range_assertions (void)
{
  need_assert_for = BITMAP_ALLOC (NULL);
  asserts_for = XCNEWVEC (assert_locus_t, num_ssa_names);

  calculate_dominance_info (CDI_DOMINATORS);

  if (find_assert_locations ())
    {
      process_assert_insertions ();
      update_ssa (TODO_update_ssa_no_phi);
    }

  if (dump_file && (dump_flags & TDF_DETAILS))
    {
      fprintf (dump_file, "\nSSA form after inserting ASSERT_EXPRs\n");
      dump_function_to_file (current_function_decl, dump_file, dump_flags);
    }

  free (asserts_for);
  BITMAP_FREE (need_assert_for);
}

/* Checks one ARRAY_REF in REF, located at LOCUS. Ignores flexible arrays
   and "struct" hacks. If VRP can determine that the
   array subscript is a constant, check if it is outside valid
   range. If the array subscript is a RANGE, warn if it is
   non-overlapping with valid range.
   IGNORE_OFF_BY_ONE is true if the ARRAY_REF is inside a ADDR_EXPR.  */

static void
check_array_ref (location_t location, tree ref, bool ignore_off_by_one)
{
  value_range_t* vr = NULL;
  tree low_sub, up_sub;
  tree low_bound, up_bound, up_bound_p1;
  tree base;

  if (TREE_NO_WARNING (ref))
    return;

  low_sub = up_sub = TREE_OPERAND (ref, 1);
  up_bound = array_ref_up_bound (ref);

  /* Can not check flexible arrays.  */
  if (!up_bound
      || TREE_CODE (up_bound) != INTEGER_CST)
    return;

  /* Accesses to trailing arrays via pointers may access storage
     beyond the types array bounds.  */
  base = get_base_address (ref);
  if (base && TREE_CODE (base) == MEM_REF)
    {
      tree cref, next = NULL_TREE;

      if (TREE_CODE (TREE_OPERAND (ref, 0)) != COMPONENT_REF)
	return;

      cref = TREE_OPERAND (ref, 0);
      if (TREE_CODE (TREE_TYPE (TREE_OPERAND (cref, 0))) == RECORD_TYPE)
	for (next = DECL_CHAIN (TREE_OPERAND (cref, 1));
	     next && TREE_CODE (next) != FIELD_DECL;
	     next = DECL_CHAIN (next))
	  ;

      /* If this is the last field in a struct type or a field in a
	 union type do not warn.  */
      if (!next)
	return;
    }

  low_bound = array_ref_low_bound (ref);
  up_bound_p1 = int_const_binop (PLUS_EXPR, up_bound, integer_one_node);

  if (TREE_CODE (low_sub) == SSA_NAME)
    {
      vr = get_value_range (low_sub);
      if (vr->type == VR_RANGE || vr->type == VR_ANTI_RANGE)
        {
          low_sub = vr->type == VR_RANGE ? vr->max : vr->min;
          up_sub = vr->type == VR_RANGE ? vr->min : vr->max;
        }
    }

  if (vr && vr->type == VR_ANTI_RANGE)
    {
      if (TREE_CODE (up_sub) == INTEGER_CST
          && tree_int_cst_lt (up_bound, up_sub)
          && TREE_CODE (low_sub) == INTEGER_CST
          && tree_int_cst_lt (low_sub, low_bound))
        {
          warning_at (location, OPT_Warray_bounds,
		      "array subscript is outside array bounds");
          TREE_NO_WARNING (ref) = 1;
        }
    }
  else if (TREE_CODE (up_sub) == INTEGER_CST
	   && (ignore_off_by_one
	       ? (tree_int_cst_lt (up_bound, up_sub)
		  && !tree_int_cst_equal (up_bound_p1, up_sub))
	       : (tree_int_cst_lt (up_bound, up_sub)
		  || tree_int_cst_equal (up_bound_p1, up_sub))))
    {
      if (dump_file && (dump_flags & TDF_DETAILS))
	{
	  fprintf (dump_file, "Array bound warning for ");
	  dump_generic_expr (MSG_NOTE, TDF_SLIM, ref);
	  fprintf (dump_file, "\n");
	}
      warning_at (location, OPT_Warray_bounds,
		  "array subscript is above array bounds");
      TREE_NO_WARNING (ref) = 1;
    }
  else if (TREE_CODE (low_sub) == INTEGER_CST
           && tree_int_cst_lt (low_sub, low_bound))
    {
      if (dump_file && (dump_flags & TDF_DETAILS))
	{
	  fprintf (dump_file, "Array bound warning for ");
	  dump_generic_expr (MSG_NOTE, TDF_SLIM, ref);
	  fprintf (dump_file, "\n");
	}
      warning_at (location, OPT_Warray_bounds,
		  "array subscript is below array bounds");
      TREE_NO_WARNING (ref) = 1;
    }
}

/* Searches if the expr T, located at LOCATION computes
   address of an ARRAY_REF, and call check_array_ref on it.  */

static void
search_for_addr_array (tree t, location_t location)
{
  while (TREE_CODE (t) == SSA_NAME)
    {
      gimple g = SSA_NAME_DEF_STMT (t);

      if (gimple_code (g) != GIMPLE_ASSIGN)
	return;

      if (get_gimple_rhs_class (gimple_assign_rhs_code (g))
	  != GIMPLE_SINGLE_RHS)
	return;

      t = gimple_assign_rhs1 (g);
    }


  /* We are only interested in addresses of ARRAY_REF's.  */
  if (TREE_CODE (t) != ADDR_EXPR)
    return;

  /* Check each ARRAY_REFs in the reference chain. */
  do
    {
      if (TREE_CODE (t) == ARRAY_REF)
	check_array_ref (location, t, true /*ignore_off_by_one*/);

      t = TREE_OPERAND (t, 0);
    }
  while (handled_component_p (t));

  if (TREE_CODE (t) == MEM_REF
      && TREE_CODE (TREE_OPERAND (t, 0)) == ADDR_EXPR
      && !TREE_NO_WARNING (t))
    {
      tree tem = TREE_OPERAND (TREE_OPERAND (t, 0), 0);
      tree low_bound, up_bound, el_sz;
      double_int idx;
      if (TREE_CODE (TREE_TYPE (tem)) != ARRAY_TYPE
	  || TREE_CODE (TREE_TYPE (TREE_TYPE (tem))) == ARRAY_TYPE
	  || !TYPE_DOMAIN (TREE_TYPE (tem)))
	return;

      low_bound = TYPE_MIN_VALUE (TYPE_DOMAIN (TREE_TYPE (tem)));
      up_bound = TYPE_MAX_VALUE (TYPE_DOMAIN (TREE_TYPE (tem)));
      el_sz = TYPE_SIZE_UNIT (TREE_TYPE (TREE_TYPE (tem)));
      if (!low_bound
	  || TREE_CODE (low_bound) != INTEGER_CST
	  || !up_bound
	  || TREE_CODE (up_bound) != INTEGER_CST
	  || !el_sz
	  || TREE_CODE (el_sz) != INTEGER_CST)
	return;

      idx = mem_ref_offset (t);
      idx = idx.sdiv (tree_to_double_int (el_sz), TRUNC_DIV_EXPR);
      if (idx.slt (double_int_zero))
	{
	  if (dump_file && (dump_flags & TDF_DETAILS))
	    {
	      fprintf (dump_file, "Array bound warning for ");
	      dump_generic_expr (MSG_NOTE, TDF_SLIM, t);
	      fprintf (dump_file, "\n");
	    }
	  warning_at (location, OPT_Warray_bounds,
		      "array subscript is below array bounds");
	  TREE_NO_WARNING (t) = 1;
	}
      else if (idx.sgt (tree_to_double_int (up_bound)
			- tree_to_double_int (low_bound)
			+ double_int_one))
	{
	  if (dump_file && (dump_flags & TDF_DETAILS))
	    {
	      fprintf (dump_file, "Array bound warning for ");
	      dump_generic_expr (MSG_NOTE, TDF_SLIM, t);
	      fprintf (dump_file, "\n");
	    }
	  warning_at (location, OPT_Warray_bounds,
		      "array subscript is above array bounds");
	  TREE_NO_WARNING (t) = 1;
	}
    }
}

/* walk_tree() callback that checks if *TP is
   an ARRAY_REF inside an ADDR_EXPR (in which an array
   subscript one outside the valid range is allowed). Call
   check_array_ref for each ARRAY_REF found. The location is
   passed in DATA.  */

static tree
check_array_bounds (tree *tp, int *walk_subtree, void *data)
{
  tree t = *tp;
  struct walk_stmt_info *wi = (struct walk_stmt_info *) data;
  location_t location;

  if (EXPR_HAS_LOCATION (t))
    location = EXPR_LOCATION (t);
  else
    {
      location_t *locp = (location_t *) wi->info;
      location = *locp;
    }

  *walk_subtree = TRUE;

  if (TREE_CODE (t) == ARRAY_REF)
    check_array_ref (location, t, false /*ignore_off_by_one*/);

  if (TREE_CODE (t) == MEM_REF
      || (TREE_CODE (t) == RETURN_EXPR && TREE_OPERAND (t, 0)))
    search_for_addr_array (TREE_OPERAND (t, 0), location);

  if (TREE_CODE (t) == ADDR_EXPR)
    *walk_subtree = FALSE;

  return NULL_TREE;
}

/* Walk over all statements of all reachable BBs and call check_array_bounds
   on them.  */

static void
check_all_array_refs (void)
{
  basic_block bb;
  gimple_stmt_iterator si;

  FOR_EACH_BB_FN (bb, cfun)
    {
      edge_iterator ei;
      edge e;
      bool executable = false;

      /* Skip blocks that were found to be unreachable.  */
      FOR_EACH_EDGE (e, ei, bb->preds)
	executable |= !!(e->flags & EDGE_EXECUTABLE);
      if (!executable)
	continue;

      for (si = gsi_start_bb (bb); !gsi_end_p (si); gsi_next (&si))
	{
	  gimple stmt = gsi_stmt (si);
	  struct walk_stmt_info wi;
	  if (!gimple_has_location (stmt))
	    continue;

	  if (is_gimple_call (stmt))
	    {
	      size_t i;
	      size_t n = gimple_call_num_args (stmt);
	      for (i = 0; i < n; i++)
		{
		  tree arg = gimple_call_arg (stmt, i);
		  search_for_addr_array (arg, gimple_location (stmt));
		}
	    }
	  else
	    {
	      memset (&wi, 0, sizeof (wi));
	      wi.info = CONST_CAST (void *, (const void *)
				    gimple_location_ptr (stmt));

	      walk_gimple_op (gsi_stmt (si),
			      check_array_bounds,
			      &wi);
	    }
	}
    }
}

/* Return true if all imm uses of VAR are either in STMT, or
   feed (optionally through a chain of single imm uses) GIMPLE_COND
   in basic block COND_BB.  */

static bool
all_imm_uses_in_stmt_or_feed_cond (tree var, gimple stmt, basic_block cond_bb)
{
  use_operand_p use_p, use2_p;
  imm_use_iterator iter;

  FOR_EACH_IMM_USE_FAST (use_p, iter, var)
    if (USE_STMT (use_p) != stmt)
      {
	gimple use_stmt = USE_STMT (use_p), use_stmt2;
	if (is_gimple_debug (use_stmt))
	  continue;
	while (is_gimple_assign (use_stmt)
	       && TREE_CODE (gimple_assign_lhs (use_stmt)) == SSA_NAME
	       && single_imm_use (gimple_assign_lhs (use_stmt),
				  &use2_p, &use_stmt2))
	  use_stmt = use_stmt2;
	if (gimple_code (use_stmt) != GIMPLE_COND
	    || gimple_bb (use_stmt) != cond_bb)
	  return false;
      }
  return true;
}

/* Handle
   _4 = x_3 & 31;
   if (_4 != 0)
     goto <bb 6>;
   else
     goto <bb 7>;
   <bb 6>:
   __builtin_unreachable ();
   <bb 7>:
   x_5 = ASSERT_EXPR <x_3, ...>;
   If x_3 has no other immediate uses (checked by caller),
   var is the x_3 var from ASSERT_EXPR, we can clear low 5 bits
   from the non-zero bitmask.  */

static void
maybe_set_nonzero_bits (basic_block bb, tree var)
{
  edge e = single_pred_edge (bb);
  basic_block cond_bb = e->src;
  gimple stmt = last_stmt (cond_bb);
  tree cst;

  if (stmt == NULL
      || gimple_code (stmt) != GIMPLE_COND
      || gimple_cond_code (stmt) != ((e->flags & EDGE_TRUE_VALUE)
				     ? EQ_EXPR : NE_EXPR)
      || TREE_CODE (gimple_cond_lhs (stmt)) != SSA_NAME
      || !integer_zerop (gimple_cond_rhs (stmt)))
    return;

  stmt = SSA_NAME_DEF_STMT (gimple_cond_lhs (stmt));
  if (!is_gimple_assign (stmt)
      || gimple_assign_rhs_code (stmt) != BIT_AND_EXPR
      || TREE_CODE (gimple_assign_rhs2 (stmt)) != INTEGER_CST)
    return;
  if (gimple_assign_rhs1 (stmt) != var)
    {
      gimple stmt2;

      if (TREE_CODE (gimple_assign_rhs1 (stmt)) != SSA_NAME)
	return;
      stmt2 = SSA_NAME_DEF_STMT (gimple_assign_rhs1 (stmt));
      if (!gimple_assign_cast_p (stmt2)
	  || gimple_assign_rhs1 (stmt2) != var
	  || !CONVERT_EXPR_CODE_P (gimple_assign_rhs_code (stmt2))
	  || (TYPE_PRECISION (TREE_TYPE (gimple_assign_rhs1 (stmt)))
			      != TYPE_PRECISION (TREE_TYPE (var))))