[pf3gnuchains/gcc-fork.git] / gcc / tree-vrp.c

/* Support routines for Value Range Propagation (VRP).
   Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010
   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 "ggc.h"
#include "flags.h"
#include "tree.h"
#include "basic-block.h"
#include "tree-flow.h"
#include "tree-pass.h"
#include "tree-dump.h"
#include "timevar.h"
#include "diagnostic.h"
#include "toplev.h"
#include "intl.h"
#include "cfgloop.h"
#include "tree-scalar-evolution.h"
#include "tree-ssa-propagate.h"
#include "tree-chrec.h"


/* 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]
          && TEST_BIT (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 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 value_range_t **vr_value;

/* 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, heap) *to_remove_edges;
DEF_VEC_O(switch_update);
DEF_VEC_ALLOC_O(switch_update, heap);
static VEC (switch_update, heap) *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)
{
#ifdef ENABLE_CHECKING
  gcc_assert (val != NULL_TREE && CONSTANT_CLASS_P (val));
#endif
  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)
{
#ifdef ENABLE_CHECKING
  gcc_assert (supports_overflow_infinity (type));
#endif
  return make_overflow_infinity (vrp_val_min (type));
}

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

static inline tree
positive_overflow_infinity (tree type)
{
#ifdef ENABLE_CHECKING
  gcc_assert (supports_overflow_infinity (type));
#endif
  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
    {
#ifdef ENABLE_CHECKING
      gcc_assert (vrp_val_is_min (val));
#endif
      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);
  attrs = lookup_attribute ("nonnull", TYPE_ATTRIBUTES (fntype));

  /* 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 = TREE_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_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);

      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)
{
  /* Nothing to canonicalize for symbolic or unknown or varying ranges.  */
  if ((t != VR_RANGE
       && t != VR_ANTI_RANGE)
      || 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 = build_int_cst (TREE_TYPE (min), 1);
      tree tmp = int_const_binop (PLUS_EXPR, max, one, 0);
      max = int_const_binop (MINUS_EXPR, min, one, 0);
      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.  */
          set_value_range_to_varying (vr);
          return;
        }
      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, 0);
          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, 0);
          min = vrp_val_min (TREE_TYPE (min));
          t = VR_RANGE;
        }
    }

  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));
  val = avoid_overflow_infinity (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);
}


/* 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);
}


/* 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)
{
  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;

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

  /* 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, the variable can take any value
     in VAR's type.  */
  sym = SSA_NAME_VAR (var);
  if (SSA_NAME_IS_DEFAULT_DEF (var))
    {
      /* 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 (TREE_CODE (sym) == PARM_DECL
          && 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);
    }

  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 && 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)
    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
          && !TREE_OVERFLOW (vr->max)
          && !TREE_OVERFLOW (vr->min));
}

/* 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)
          && 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;
}


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

static bool
vrp_expr_computes_nonnegative (tree expr, bool *strict_overflow_p)
{
  return (tree_expr_nonnegative_warnv_p (expr, strict_overflow_p)
          || (TREE_CODE (expr) == SSA_NAME
              && ssa_name_nonnegative_p (expr)));
}

/* 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_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_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 know to 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:
      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) == INDIRECT_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 VR (VR->MIN <= VAL <= VR->MAX),
          0 if VAL is not inside VR,
         -2 if we cannot tell either way.

   FIXME, the current semantics of this functions are a bit quirky
          when taken in the context of VRP.  In here we do not care
          about VR's type.  If VR is the anti-range ~[3, 5] the call
          value_inside_range (4, VR) will return 1.

          This is counter-intuitive in a strict sense, but the callers
          currently expect this.  They are calling the function
          merely to determine whether VR->MIN <= VAL <= VR->MAX.  The
          callers are applying the VR_RANGE/VR_ANTI_RANGE semantics
          themselves.

          This also applies to value_ranges_intersect_p and
          range_includes_zero_p.  The semantics of VR_RANGE and
          VR_ANTI_RANGE should be encoded here, but that also means
          adapting the users of these functions to the new semantics.

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

static inline int
value_inside_range (tree val, value_range_t * vr)
{
  int cmp1, cmp2;

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

  cmp2 = operand_less_p (vr->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 true if VR includes the value zero, false otherwise.  FIXME,
   currently this will return false for an anti-range like ~[-4, 3].
   This will be wrong when the semantics of value_inside_range are
   modified (currently the users of this function expect these
   semantics).  */

static inline bool
range_includes_zero_p (value_range_t *vr)
{
  tree zero;

  gcc_assert (vr->type != VR_UNDEFINED
              && vr->type != VR_VARYING
              && !symbolic_range_p (vr));

  zero = build_int_cst (TREE_TYPE (vr->min), 0);
  return (value_inside_range (zero, vr) == 1);
}

/* Return true if T, an SSA_NAME, is known to be nonnegative.  Return
   false otherwise or if no value range information is available.  */

bool
ssa_name_nonnegative_p (const_tree t)
{
  value_range_t *vr = get_value_range (t);

  if (!vr)
    return false;

  /* 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 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)
{
  value_range_t *vr;

  if (is_gimple_min_invariant (op))
    return op;

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

  vr = get_value_range (op);
  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;
}


/* 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 *var_vr, *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 (limit);
  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, 0);
          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_INT_CST_LOW (min),
                                   TREE_INT_CST_HIGH (min), 0, false);
      max = force_fit_type_double (TREE_TYPE (var), TREE_INT_CST_LOW (max),
                                   TREE_INT_CST_HIGH (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_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)
          || (CONSTANT_CLASS_P (max) && TREE_OVERFLOW (max)))
        set_value_range_to_varying (vr_p);
      else
        {
          /* For LT_EXPR, we create the range [MIN, MAX - 1].  */
          if (cond_code == LT_EXPR)
            {
              tree one = build_int_cst (type, 1);
              max = fold_build2 (MINUS_EXPR, type, max, one);
              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)
          || (CONSTANT_CLASS_P (min) && TREE_OVERFLOW (min)))
        set_value_range_to_varying (vr_p);
      else
        {
          /* For GT_EXPR, we create the range [MIN + 1, MAX].  */
          if (cond_code == GT_EXPR)
            {
              tree one = build_int_cst (type, 1);
              min = fold_build2 (PLUS_EXPR, type, min, one);
              if (EXPR_P (min))
                TREE_NO_WARNING (min) = 1;
            }

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

  /* If VAR already had a known range, it may happen that the new
     range we have computed and VAR's range are not compatible.  For
     instance,

        if (p_5 == NULL)
          p_6 = ASSERT_EXPR <p_5, p_5 == NULL>;
          x_7 = p_6->fld;
          p_8 = ASSERT_EXPR <p_6, p_6 != NULL>;

     While the above comes from a faulty program, it will cause an ICE
     later because p_8 and p_6 will have incompatible ranges and at
     the same time will be considered equivalent.  A similar situation
     would arise from

        if (i_5 > 10)
          i_6 = ASSERT_EXPR <i_5, i_5 > 10>;
          if (i_5 < 5)
            i_7 = ASSERT_EXPR <i_6, i_6 < 5>;

     Again i_6 and i_7 will have incompatible ranges.  It would be
     pointless to try and do anything with i_7's range because
     anything dominated by 'if (i_5 < 5)' will be optimized away.
     Note, due to the wa in which simulation proceeds, the statement
     i_7 = ASSERT_EXPR <...> we would never be visited because the
     conditional 'if (i_5 < 5)' always evaluates to false.  However,
     this extra check does not hurt and may protect against future
     changes to VRP that may get into a situation similar to the
     NULL pointer dereference example.

     Note that these compatibility tests are only needed when dealing
     with ranges or a mix of range and anti-range.  If VAR_VR and VR_P
     are both anti-ranges, they will always be compatible, because two
     anti-ranges will always have a non-empty intersection.  */

  var_vr = get_value_range (var);

  /* We may need to make adjustments when VR_P and VAR_VR are numeric
     ranges or anti-ranges.  */
  if (vr_p->type == VR_VARYING
      || vr_p->type == VR_UNDEFINED
      || var_vr->type == VR_VARYING
      || var_vr->type == VR_UNDEFINED
      || symbolic_range_p (vr_p)
      || symbolic_range_p (var_vr))
    return;

  if (var_vr->type == VR_RANGE && vr_p->type == VR_RANGE)
    {
      /* If the two ranges have a non-empty intersection, we can
         refine the resulting range.  Since the assert expression
         creates an equivalency and at the same time it asserts a
         predicate, we can take the intersection of the two ranges to
         get better precision.  */
      if (value_ranges_intersect_p (var_vr, vr_p))
        {
          /* Use the larger of the two minimums.  */
          if (compare_values (vr_p->min, var_vr->min) == -1)
            min = var_vr->min;
          else
            min = vr_p->min;

          /* Use the smaller of the two maximums.  */
          if (compare_values (vr_p->max, var_vr->max) == 1)
            max = var_vr->max;
          else
            max = vr_p->max;

          set_value_range (vr_p, vr_p->type, min, max, vr_p->equiv);
        }
      else
        {
          /* The two ranges do not intersect, set the new range to
             VARYING, because we will not be able to do anything
             meaningful with it.  */
          set_value_range_to_varying (vr_p);
        }
    }
  else if ((var_vr->type == VR_RANGE && vr_p->type == VR_ANTI_RANGE)
           || (var_vr->type == VR_ANTI_RANGE && vr_p->type == VR_RANGE))
    {
      /* A range and an anti-range will cancel each other only if
         their ends are the same.  For instance, in the example above,
         p_8's range ~[0, 0] and p_6's range [0, 0] are incompatible,
         so VR_P should be set to VR_VARYING.  */
      if (compare_values (var_vr->min, vr_p->min) == 0
          && compare_values (var_vr->max, vr_p->max) == 0)
        set_value_range_to_varying (vr_p);
      else
        {
          tree min, max, anti_min, anti_max, real_min, real_max;
          int cmp;

          /* We want to compute the logical AND of the two ranges;
             there are three cases to consider.


             1. The VR_ANTI_RANGE range is completely within the
                VR_RANGE and the endpoints of the ranges are
                different.  In that case the resulting range
                should be whichever range is more precise.
                Typically that will be the VR_RANGE.

             2. The VR_ANTI_RANGE is completely disjoint from
                the VR_RANGE.  In this case the resulting range
                should be the VR_RANGE.

             3. There is some overlap between the VR_ANTI_RANGE
                and the VR_RANGE.

                3a. If the high limit of the VR_ANTI_RANGE resides
                    within the VR_RANGE, then the result is a new
                    VR_RANGE starting at the high limit of the
                    VR_ANTI_RANGE + 1 and extending to the
                    high limit of the original VR_RANGE.

                3b. If the low limit of the VR_ANTI_RANGE resides
                    within the VR_RANGE, then the result is a new
                    VR_RANGE starting at the low limit of the original
                    VR_RANGE and extending to the low limit of the
                    VR_ANTI_RANGE - 1.  */
          if (vr_p->type == VR_ANTI_RANGE)
            {
              anti_min = vr_p->min;
              anti_max = vr_p->max;
              real_min = var_vr->min;
              real_max = var_vr->max;
            }
          else
            {
              anti_min = var_vr->min;
              anti_max = var_vr->max;
              real_min = vr_p->min;
              real_max = vr_p->max;
            }


          /* Case 1, VR_ANTI_RANGE completely within VR_RANGE,
             not including any endpoints.  */
          if (compare_values (anti_max, real_max) == -1
              && compare_values (anti_min, real_min) == 1)
            {
              /* If the range is covering the whole valid range of
                 the type keep the anti-range.  */
              if (!vrp_val_is_min (real_min)
                  || !vrp_val_is_max (real_max))
                set_value_range (vr_p, VR_RANGE, real_min,
                                 real_max, vr_p->equiv);
            }
          /* Case 2, VR_ANTI_RANGE completely disjoint from
             VR_RANGE.  */
          else if (compare_values (anti_min, real_max) == 1
                   || compare_values (anti_max, real_min) == -1)
            {
              set_value_range (vr_p, VR_RANGE, real_min,
                               real_max, vr_p->equiv);
            }
          /* Case 3a, the anti-range extends into the low
             part of the real range.  Thus creating a new
             low for the real range.  */
          else if (((cmp = compare_values (anti_max, real_min)) == 1
                    || cmp == 0)
                   && compare_values (anti_max, real_max) == -1)
            {
              gcc_assert (!is_positive_overflow_infinity (anti_max));
              if (needs_overflow_infinity (TREE_TYPE (anti_max))
                  && vrp_val_is_max (anti_max))
                {
                  if (!supports_overflow_infinity (TREE_TYPE (var_vr->min)))
                    {
                      set_value_range_to_varying (vr_p);
                      return;
                    }
                  min = positive_overflow_infinity (TREE_TYPE (var_vr->min));
                }
              else if (!POINTER_TYPE_P (TREE_TYPE (var_vr->min)))
                min = fold_build2 (PLUS_EXPR, TREE_TYPE (var_vr->min),
                                   anti_max,
                                   build_int_cst (TREE_TYPE (var_vr->min), 1));
              else
                min = fold_build2 (POINTER_PLUS_EXPR, TREE_TYPE (var_vr->min),
                                   anti_max, size_int (1));
              max = real_max;
              set_value_range (vr_p, VR_RANGE, min, max, vr_p->equiv);
            }
          /* Case 3b, the anti-range extends into the high
             part of the real range.  Thus creating a new
             higher for the real range.  */
          else if (compare_values (anti_min, real_min) == 1
                   && ((cmp = compare_values (anti_min, real_max)) == -1
                       || cmp == 0))
            {
              gcc_assert (!is_negative_overflow_infinity (anti_min));
              if (needs_overflow_infinity (TREE_TYPE (anti_min))
                  && vrp_val_is_min (anti_min))
                {
                  if (!supports_overflow_infinity (TREE_TYPE (var_vr->min)))
                    {
                      set_value_range_to_varying (vr_p);
                      return;
                    }
                  max = negative_overflow_infinity (TREE_TYPE (var_vr->min));
                }
              else if (!POINTER_TYPE_P (TREE_TYPE (var_vr->min)))
                max = fold_build2 (MINUS_EXPR, TREE_TYPE (var_vr->min),
                                   anti_min,
                                   build_int_cst (TREE_TYPE (var_vr->min), 1));
              else
                max = fold_build2 (POINTER_PLUS_EXPR, TREE_TYPE (var_vr->min),
                                   anti_min,
                                   size_int (-1));
              min = real_min;
              set_value_range (vr_p, VR_RANGE, min, max, vr_p->equiv);
            }
        }
    }
}


/* 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, 0);

  /* 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, 0);
          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;
}


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

static void
extract_range_from_binary_expr (value_range_t *vr,
                                enum tree_code code,
                                tree expr_type, tree op0, tree op1)
{
  enum value_range_type type;
  tree min, max;
  int cmp;
  value_range_t vr0 = { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL };
  value_range_t vr1 = { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL };

  /* 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 != RSHIFT_EXPR
      && code != MIN_EXPR
      && code != MAX_EXPR
      && code != BIT_AND_EXPR
      && code != BIT_IOR_EXPR
      && code != TRUTH_AND_EXPR
      && code != TRUTH_OR_EXPR)
    {
      /* We can still do constant propagation here.  */
      tree const_op0 = op_with_constant_singleton_value_range (op0);
      tree const_op1 = op_with_constant_singleton_value_range (op1);
      if (const_op0 || const_op1)
        {
          tree tem = fold_binary (code, expr_type,
                                  const_op0 ? const_op0 : op0,
                                  const_op1 ? const_op1 : op1);
          if (tem
              && is_gimple_min_invariant (tem)
              && !is_overflow_infinity (tem))
            {
              set_value_range (vr, VR_RANGE, tem, tem, NULL);
              return;
            }
        }
      set_value_range_to_varying (vr);
      return;
    }

  /* 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);

  /* If either range is UNDEFINED, so is the result.  */
  if (vr0.type == VR_UNDEFINED || vr1.type == VR_UNDEFINED)
    {
      set_value_range_to_undefined (vr);
      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 != TRUTH_AND_EXPR
      && code != TRUTH_OR_EXPR
      && code != TRUNC_DIV_EXPR
      && code != FLOOR_DIV_EXPR
      && code != CEIL_DIV_EXPR
      && code != EXACT_DIV_EXPR
      && code != ROUND_DIV_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)
      || POINTER_TYPE_P (TREE_TYPE (op0))
      || POINTER_TYPE_P (TREE_TYPE (op1)))
    {
      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);

          return;
        }
      gcc_assert (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);

      return;
    }

  /* For integer ranges, apply the operation to each end of the
     range and see what we end up with.  */
  if (code == TRUTH_AND_EXPR
      || code == TRUTH_OR_EXPR)
    {
      /* If one of the operands is zero, we know that the whole
         expression evaluates zero.  */
      if (code == TRUTH_AND_EXPR
          && ((vr0.type == VR_RANGE
               && integer_zerop (vr0.min)
               && integer_zerop (vr0.max))
              || (vr1.type == VR_RANGE
                  && integer_zerop (vr1.min)
                  && integer_zerop (vr1.max))))
        {
          type = VR_RANGE;
          min = max = build_int_cst (expr_type, 0);
        }
      /* If one of the operands is one, we know that the whole
         expression evaluates one.  */
      else if (code == TRUTH_OR_EXPR
               && ((vr0.type == VR_RANGE
                    && integer_onep (vr0.min)
                    && integer_onep (vr0.max))
                   || (vr1.type == VR_RANGE
                       && integer_onep (vr1.min)
                       && integer_onep (vr1.max))))
        {
          type = VR_RANGE;
          min = max = build_int_cst (expr_type, 1);
        }
      else if (vr0.type != VR_VARYING
               && vr1.type != VR_VARYING
               && vr0.type == vr1.type
               && !symbolic_range_p (&vr0)
               && !overflow_infinity_range_p (&vr0)
               && !symbolic_range_p (&vr1)
               && !overflow_infinity_range_p (&vr1))
        {
          /* Boolean expressions cannot be folded with int_const_binop.  */
          min = fold_binary (code, expr_type, vr0.min, vr1.min);
          max = fold_binary (code, expr_type, vr0.max, vr1.max);
        }
      else
        {
          /* The result of a TRUTH_*_EXPR is always true or false.  */
          set_value_range_to_truthvalue (vr, expr_type);
          return;
        }
    }
  else if (code == PLUS_EXPR
           || code == MIN_EXPR
           || code == MAX_EXPR)
    {
      /* 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.  For example, if we have op0 == 1 and
         op1 == -1 with their ranges both being ~[0,0], we would have
         op0 + op1 == 0, so we cannot claim that the sum is in ~[0,0].
         Note that we are guaranteed to have vr0.type == vr1.type at
         this point.  */
      if (code == PLUS_EXPR && vr0.type == VR_ANTI_RANGE)
        {
          set_value_range_to_varying (vr);
          return;
        }

      /* 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);

      /* If both additions overflowed the range kind is still correct.
         This happens regularly with subtracting something in unsigned
         arithmetic.
         ???  See PR30318 for all the cases we do not handle.  */
      if (code == PLUS_EXPR
          && (TREE_OVERFLOW (min) && !is_overflow_infinity (min))
          && (TREE_OVERFLOW (max) && !is_overflow_infinity (max)))
        {
          min = build_int_cst_wide (TREE_TYPE (min),
                                    TREE_INT_CST_LOW (min),
                                    TREE_INT_CST_HIGH (min));
          max = build_int_cst_wide (TREE_TYPE (max),
                                    TREE_INT_CST_LOW (max),
                                    TREE_INT_CST_HIGH (max));
        }
    }
  else if (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)
    {
      tree val[4];
      size_t i;
      bool sop;

      /* 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 (code == MULT_EXPR
          && vr0.type == VR_ANTI_RANGE
          && !TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (op0)))
        {
          set_value_range_to_varying (vr);
          return;
        }

      /* 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 (code == RSHIFT_EXPR)
        {
          if (vr1.type == VR_ANTI_RANGE
              || !vrp_expr_computes_nonnegative (op1, &sop)
              || (operand_less_p
                  (build_int_cst (TREE_TYPE (vr1.max),
                                  TYPE_PRECISION (expr_type) - 1),
                   vr1.max) != 0))
            {
              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)
               && (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))
            {
              vr0.type = type = VR_RANGE;
              vr0.min = vrp_val_min (TREE_TYPE (op0));
              vr0.max = vrp_val_max (TREE_TYPE (op1));
            }
          else
            {
              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 ((code == TRUNC_DIV_EXPR
           || code == FLOOR_DIV_EXPR
           || code == CEIL_DIV_EXPR
           || code == EXACT_DIV_EXPR
           || code == ROUND_DIV_EXPR)
          && vr0.type == VR_RANGE
          && (vr1.type != VR_RANGE
              || symbolic_range_p (&vr1)
              || range_includes_zero_p (&vr1)))
        {
          tree zero = build_int_cst (TREE_TYPE (vr0.min), 0);
          int cmp;

          sop = false;
          min = NULL_TREE;
          max = NULL_TREE;
          if (vrp_expr_computes_nonnegative (op1, &sop) && !sop)
            {
              /* 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;
            }
        }

      /* Multiplications and divisions 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.  */
      else
        {
          gcc_assert ((vr0.type == VR_RANGE
                       || (code == MULT_EXPR && vr0.type == VR_ANTI_RANGE))
                      && vr0.type == vr1.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];
                }
            }
        }
    }
  else if (code == MINUS_EXPR)
    {
      /* If we have a MINUS_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 == 1 and
         op1 == 1 with their ranges both being ~[0,0], we would have
         op0 - op1 == 0, so we cannot claim that the difference is in
         ~[0,0].  Note that we are guaranteed to have
         vr0.type == vr1.type at this point.  */
      if (vr0.type == VR_ANTI_RANGE)
        {
          set_value_range_to_varying (vr);
          return;
        }

      /* For MINUS_EXPR, apply the operation to the opposite ends of
         each range.  */
      min = vrp_int_const_binop (code, vr0.min, vr1.max);
      max = vrp_int_const_binop (code, vr0.max, vr1.min);
    }
  else if (code == BIT_AND_EXPR)
    {
      bool vr0_int_cst_singleton_p, vr1_int_cst_singleton_p;

      vr0_int_cst_singleton_p = range_int_cst_singleton_p (&vr0);
      vr1_int_cst_singleton_p = range_int_cst_singleton_p (&vr1);

      if (vr0_int_cst_singleton_p && vr1_int_cst_singleton_p)
        min = max = int_const_binop (code, vr0.max, vr1.max, 0);
      else if (vr0_int_cst_singleton_p
               && tree_int_cst_sgn (vr0.max) >= 0)
        {
          min = build_int_cst (expr_type, 0);
          max = vr0.max;
        }
      else if (vr1_int_cst_singleton_p
               && tree_int_cst_sgn (vr1.max) >= 0)
        {
          type = VR_RANGE;
          min = build_int_cst (expr_type, 0);
          max = vr1.max;
        }
      else
        {
          set_value_range_to_varying (vr);
          return;
        }
    }
  else if (code == BIT_IOR_EXPR)
    {
      if (range_int_cst_p (&vr0)
          && range_int_cst_p (&vr1)
          && tree_int_cst_sgn (vr0.min) >= 0
          && tree_int_cst_sgn (vr1.min) >= 0)
        {
          double_int vr0_max = tree_to_double_int (vr0.max);
          double_int vr1_max = tree_to_double_int (vr1.max);
          double_int ior_max;

          /* Set all bits to the right of the most significant one to 1.
             For example, [0, 4] | [4, 4] = [4, 7]. */
          ior_max.low = vr0_max.low | vr1_max.low;
          ior_max.high = vr0_max.high | vr1_max.high;
          if (ior_max.high != 0)
            {
              ior_max.low = ~(unsigned HOST_WIDE_INT)0u;
              ior_max.high |= ((HOST_WIDE_INT) 1
                               << floor_log2 (ior_max.high)) - 1;
            }
          else if (ior_max.low != 0)
            ior_max.low |= ((unsigned HOST_WIDE_INT) 1u
                            << floor_log2 (ior_max.low)) - 1;

          /* Both of these endpoints are conservative.  */
          min = vrp_int_const_binop (MAX_EXPR, vr0.min, vr1.min);
          max = double_int_to_tree (expr_type, ior_max);
        }
      else
        {
          set_value_range_to_varying (vr);
          return;
        }
    }
  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 unary expression EXPR based on
   the range of its operand and the expression code.  */

static void
extract_range_from_unary_expr (value_range_t *vr, enum tree_code code,
                               tree type, tree op0)
{
  tree min, max;
  int cmp;
  value_range_t vr0 = { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL };

  /* Refuse to operate on certain unary expressions for which we
     cannot easily determine a resulting range.  */
  if (code == FIX_TRUNC_EXPR
      || code == FLOAT_EXPR
      || code == BIT_NOT_EXPR
      || code == CONJ_EXPR)
    {
      /* We can still do constant propagation here.  */
      if ((op0 = op_with_constant_singleton_value_range (op0)) != NULL_TREE)
        {
          tree tem = fold_unary (code, type, op0);
          if (tem
              && is_gimple_min_invariant (tem)
              && !is_overflow_infinity (tem))
            {
              set_value_range (vr, VR_RANGE, tem, tem, NULL);
              return;
            }
        }
      set_value_range_to_varying (vr);
      return;
    }

  /* 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);

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

  /* Refuse to operate on symbolic ranges, or if neither operand is
     a pointer or integral type.  */
  if ((!INTEGRAL_TYPE_P (TREE_TYPE (op0))
       && !POINTER_TYPE_P (TREE_TYPE (op0)))
      || (vr0.type != VR_VARYING
          && symbolic_range_p (&vr0)))
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* If the expression involves pointers, we are only interested in
     determining if it evaluates to NULL [0, 0] or non-NULL (~[0, 0]).  */
  if (POINTER_TYPE_P (type) || POINTER_TYPE_P (TREE_TYPE (op0)))
    {
      bool sop;

      sop = false;
      if (range_is_nonnull (&vr0)
          || (tree_unary_nonzero_warnv_p (code, type, op0, &sop)
              && !sop))
        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;
    }

  /* Handle unary expressions on integer ranges.  */
  if (CONVERT_EXPR_CODE_P (code)
      && INTEGRAL_TYPE_P (type)
      && INTEGRAL_TYPE_P (TREE_TYPE (op0)))
    {
      tree inner_type = TREE_TYPE (op0);
      tree outer_type = type;

      /* If VR0 is varying and we increase the type precision, assume
         a full range for the following transformation.  */
      if (vr0.type == VR_VARYING
          && 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, 0),
                         size_int (TYPE_PRECISION (outer_type)), 0)))))
        {
          tree new_min, new_max;
          new_min = force_fit_type_double (outer_type,
                                           TREE_INT_CST_LOW (vr0.min),
                                           TREE_INT_CST_HIGH (vr0.min), 0, 0);
          new_max = force_fit_type_double (outer_type,
                                           TREE_INT_CST_LOW (vr0.max),
                                           TREE_INT_CST_HIGH (vr0.max), 0, 0);
          if (is_overflow_infinity (vr0.min))
            new_min = negative_overflow_infinity (outer_type);
          if (is_overflow_infinity (vr0.max))
            new_max = positive_overflow_infinity (outer_type);
          set_and_canonicalize_value_range (vr, vr0.type,
                                            new_min, new_max, NULL);
          return;
        }

      set_value_range_to_varying (vr);
      return;
    }

  /* Conversion of a VR_VARYING value to a wider type can result
     in a usable range.  So wait until after we've handled conversions
     before dropping the result to VR_VARYING if we had a source
     operand that is VR_VARYING.  */
  if (vr0.type == VR_VARYING)
    {
      set_value_range_to_varying (vr);
      return;
    }

  /* Apply the operation to each end of the range and see what we end
     up with.  */
  if (code == NEGATE_EXPR
      && !TYPE_UNSIGNED (type))
    {
      /* NEGATE_EXPR flips the range around.  We need to treat
         TYPE_MIN_VALUE specially.  */
      if (is_positive_overflow_infinity (vr0.max))
        min = negative_overflow_infinity (type);
      else if (is_negative_overflow_infinity (vr0.max))
        min = positive_overflow_infinity (type);
      else if (!vrp_val_is_min (vr0.max))
        min = fold_unary_to_constant (code, type, vr0.max);
      else if (needs_overflow_infinity (type))
        {
          if (supports_overflow_infinity (type)
              && !is_overflow_infinity (vr0.min)
              && !vrp_val_is_min (vr0.min))
            min = positive_overflow_infinity (type);
          else
            {
              set_value_range_to_varying (vr);
              return;
            }
        }
      else
        min = TYPE_MIN_VALUE (type);

      if (is_positive_overflow_infinity (vr0.min))
        max = negative_overflow_infinity (type);
      else if (is_negative_overflow_infinity (vr0.min))
        max = positive_overflow_infinity (type);
      else if (!vrp_val_is_min (vr0.min))
        max = fold_unary_to_constant (code, type, vr0.min);
      else 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_MIN_VALUE (type);
    }
  else if (code == NEGATE_EXPR
           && TYPE_UNSIGNED (type))
    {
      if (!range_includes_zero_p (&vr0))
        {
          max = fold_unary_to_constant (code, type, vr0.min);
          min = fold_unary_to_constant (code, type, vr0.max);
        }
      else
        {
          if (range_is_null (&vr0))
            set_value_range_to_null (vr, type);
          else
            set_value_range_to_varying (vr);
          return;
        }
    }
  else if (code == ABS_EXPR
           && !TYPE_UNSIGNED (type))
    {
      /* -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)
                  && !range_includes_zero_p (&vr0))))
        {
          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))
            {
              /* 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, 0)
                         : 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))
        {
          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;
            }
        }
    }
  else
    {
      /* Otherwise, operate on each end of the range.  */
      min = fold_unary_to_constant (code, type, vr0.min);
      max = fold_unary_to_constant (code, type, vr0.max);

      if (needs_overflow_infinity (type))
        {
          gcc_assert (code != NEGATE_EXPR && code != ABS_EXPR);

          /* If both sides have overflowed, we don't know
             anything.  */
          if ((is_overflow_infinity (vr0.min)
               || TREE_OVERFLOW (min))
              && (is_overflow_infinity (vr0.max)
                  || TREE_OVERFLOW (max)))
            {
              set_value_range_to_varying (vr);
              return;
            }

          if (is_overflow_infinity (vr0.min))
            min = vr0.min;
          else if (TREE_OVERFLOW (min))
            {
              if (supports_overflow_infinity (type))
                min = (tree_int_cst_sgn (min) >= 0
                       ? positive_overflow_infinity (TREE_TYPE (min))
                       : negative_overflow_infinity (TREE_TYPE (min)));
              else
                {
                  set_value_range_to_varying (vr);
                  return;
                }
            }

          if (is_overflow_infinity (vr0.max))
            max = vr0.max;
          else if (TREE_OVERFLOW (max))
            {
              if (supports_overflow_infinity (type))
                max = (tree_int_cst_sgn (max) >= 0
                       ? positive_overflow_infinity (TREE_TYPE (max))
                       : negative_overflow_infinity (TREE_TYPE (max)));
              else
                {
                  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, vr0.type, min, max, NULL);
}


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

static void
extract_range_from_cond_expr (value_range_t *vr, tree expr)
{
  tree op0, op1;
  value_range_t vr0 = { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL };
  value_range_t vr1 = { VR_UNDEFINED, NULL_TREE, NULL_TREE, NULL };

  /* Get value ranges for each operand.  For constant operands, create
     a new value range with the operand to simplify processing.  */
  op0 = COND_EXPR_THEN (expr);
  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 = COND_EXPR_ELSE (expr);
  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 */
  vrp_meet (&vr0, &vr1);
  copy_value_range (vr, &vr0);
}


/* 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 (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
           || code == TRUTH_AND_EXPR
           || code == TRUTH_OR_EXPR
           || code == TRUTH_XOR_EXPR)
    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, gimple_assign_rhs1 (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);

  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;

              /* 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;
            }

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

              /* Again, avoid creating invalid range by failing.  */
              if (compare_values (min, max) == 1)
                return;
            }

          if (is_positive_overflow_infinity (max))
            max = tmax;
        }

      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) == 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.  */

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_ssa_names; 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.  */

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 n;
  gimple assertion;

  gcc_assert (TREE_CODE (v) == SSA_NAME);
  n = duplicate_ssa_name (v, NULL);

  if (COMPARISON_CLASS_P (cond))
    {
      tree a = build2 (ASSERT_EXPR, TREE_TYPE (v), v, cond);
      assertion = gimple_build_assign (n, a);
    }
  else if (TREE_CODE (cond) == TRUTH_NOT_EXPR)
    {
      /* Given !V, build the assignment N = false.  */
      tree op0 = TREE_OPERAND (cond, 0);
      gcc_assert (op0 == v);
      assertion = gimple_build_assign (n, boolean_false_node);
    }
  else if (TREE_CODE (cond) == SSA_NAME)
    {
      /* Given V, build the assignment N = true.  */
      gcc_assert (v == cond);
      assertion = gimple_build_assign (n, boolean_true_node);
    }
  else
    gcc_unreachable ();

  SSA_NAME_DEF_STMT (n) = assertion;

  /* The new ASSERT_EXPR, creates a new SSA name that replaces the
     operand of the ASSERT_EXPR. Register the new name and the old one
     in the replacement table so that we can fix the SSA web after
     adding all the ASSERT_EXPRs.  */
  register_new_name_mapping (n, v);

  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.  */
  if (stmt_could_throw_p (stmt))
    return false;

  /* If STMT is the last statement of a basic block with no
     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_COUNT (gimple_bb (stmt)->succs) == 0)
    return false;

  /* We can only assume that a pointer dereference will yield
     non-NULL if -fdelete-null-pointer-checks is enabled.  */
  if (flag_delete_null_pointer_checks
      && POINTER_TYPE_P (TREE_TYPE (op))
      && gimple_code (stmt) != GIMPLE_ASM)
    {
      unsigned num_uses, num_loads, num_stores;

      count_uses_and_derefs (op, stmt, &num_uses, &num_loads, &num_stores);
      if (num_loads + num_stores > 0)
        {
          *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, 0);
        }
      fprintf (file, "\n\tPREDICATE: ");
      print_generic_expr (file, name, 0);
      fprintf (file, " %s ", tree_code_name[(int)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.  */

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.  */

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;

#if defined ENABLE_CHECKING
  gcc_assert (bb == NULL || e == NULL);

  if (e == NULL)
    gcc_assert (gimple_code (gsi_stmt (si)) != GIMPLE_COND
                && gimple_code (gsi_stmt (si)) != GIMPLE_SWITCH);
#endif

  /* Never build an assert comparing against an integer constant with
     TREE_OVERFLOW set.  This confuses our undefined overflow warning
     machinery.  */
  if (TREE_CODE (val) == INTEGER_CST
      && TREE_OVERFLOW (val))
    val = build_int_cst_wide (TREE_TYPE (val),
                              TREE_INT_CST_LOW (val), TREE_INT_CST_HIGH (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 the assertion NAME COMP_CODE VAL has already been
             registered at a basic block that dominates DEST_BB, then
             we don't need to insert the same assertion again.  Note
             that we don't check strict dominance here to avoid
             replicating the same assertion inside the same basic
             block more than once (e.g., when a pointer is
             dereferenced several times inside a block).

             An exception to this rule are edge insertions.  If the
             new assertion is to be inserted on edge E, then it will
             dominate all the other insertions that we may want to
             insert in DEST_BB.  So, if we are doing an edge
             insertion, don't do this dominance check.  */
          if (e == NULL
              && dominated_by_p (CDI_DOMINATORS, dest_bb, loc->bb))
            return;

          /* Otherwise, 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.  */