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/* Chains of recurrences.

   Copyright (C) 2003, 2004, 2005, 2006, 2007 Free Software Foundation, Inc.

   Contributed by Sebastian Pop <pop@cri.ensmp.fr>

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/>.  */

#ifndef GCC_TREE_CHREC_H

#define GCC_TREE_CHREC_H

/* Accessors for the chains of recurrences.  */

#define CHREC_VAR(NODE)           TREE_OPERAND (NODE, 0)

#define CHREC_LEFT(NODE)          TREE_OPERAND (NODE, 1)

#define CHREC_RIGHT(NODE)         TREE_OPERAND (NODE, 2)

#define CHREC_VARIABLE(NODE)      TREE_INT_CST_LOW (CHREC_VAR (NODE))

/* The following trees are unique elements.  Thus the comparison of another

   element to these elements should be done on the pointer to these trees,

   and not on their value.  */

extern tree chrec_not_analyzed_yet;

extern GTY(()) tree chrec_dont_know;

extern GTY(()) tree chrec_known;

/* After having added an automatically generated element, please

   include it in the following function.  */

static inline bool

automatically_generated_chrec_p (tree chrec)

{

  return (chrec == chrec_not_analyzed_yet

          || chrec == chrec_dont_know

          || chrec == chrec_known);

}

/* The tree nodes aka. CHRECs.  */

static inline bool

tree_is_chrec (tree expr)

{

  if (TREE_CODE (expr) == POLYNOMIAL_CHREC

      || automatically_generated_chrec_p (expr))

    return true;

  else

    return false;

}

/* Chrec folding functions.  */

extern tree chrec_fold_plus (tree, tree, tree);

extern tree chrec_fold_minus (tree, tree, tree);

extern tree chrec_fold_multiply (tree, tree, tree);

extern tree chrec_convert (tree, tree, tree);

extern tree chrec_convert_aggressive (tree, tree);

/* Operations.  */

extern tree chrec_apply (unsigned, tree, tree);

extern tree chrec_replace_initial_condition (tree, tree);

extern tree initial_condition (tree);

extern tree initial_condition_in_loop_num (tree, unsigned);

extern tree evolution_part_in_loop_num (tree, unsigned);

extern tree hide_evolution_in_other_loops_than_loop (tree, unsigned);

extern tree reset_evolution_in_loop (unsigned, tree, tree);

extern tree chrec_merge (tree, tree);

/* Observers.  */

extern bool eq_evolutions_p (tree, tree);

extern bool is_multivariate_chrec (tree);

extern bool chrec_is_positive (tree, bool *);

extern bool chrec_contains_symbols (tree);

extern bool chrec_contains_symbols_defined_in_loop (tree, unsigned);

extern bool chrec_contains_undetermined (tree);

extern bool tree_contains_chrecs (tree, int *);

extern bool evolution_function_is_affine_multivariate_p (tree);

extern bool evolution_function_is_univariate_p (tree);

extern unsigned nb_vars_in_chrec (tree);

/* Build a polynomial chain of recurrence.  */

static inline tree

build_polynomial_chrec (unsigned loop_num,

                        tree left,

                        tree right)

{

  if (left == chrec_dont_know

      || right == chrec_dont_know)

    return chrec_dont_know;

  gcc_assert (TREE_TYPE (left) == TREE_TYPE (right));

  return build3 (POLYNOMIAL_CHREC, TREE_TYPE (left),

                 build_int_cst (NULL_TREE, loop_num), left, right);

}

/* Observers.  */

/* Determines whether CHREC is equal to zero.  */

static inline bool

chrec_zerop (tree chrec)

{

  if (chrec == NULL_TREE)

    return false;

  if (TREE_CODE (chrec) == INTEGER_CST)

    return integer_zerop (chrec);

  return false;

}

/* Determines whether the expression CHREC is a constant.  */

static inline bool

evolution_function_is_constant_p (tree chrec)

{

  if (chrec == NULL_TREE)

    return false;

  switch (TREE_CODE (chrec))

    {

    case INTEGER_CST:

    case REAL_CST:

      return true;

    default:

      return false;

    }

}

extern bool evolution_function_is_invariant_p (tree, int);

/* Determine whether the given tree is an affine evolution function or not.  */

static inline bool

evolution_function_is_affine_p (tree chrec)

{

  if (chrec == NULL_TREE)

    return false;

  switch (TREE_CODE (chrec))

    {

    case POLYNOMIAL_CHREC:

      if (evolution_function_is_invariant_p (CHREC_LEFT (chrec),

                                             CHREC_VARIABLE (chrec))

          && evolution_function_is_invariant_p (CHREC_RIGHT (chrec),

                                                CHREC_VARIABLE (chrec)))

        return true;

      else

        return false;

    default:

      return false;

    }

}

/* Determine whether the given tree is an affine or constant evolution

   function.  */

static inline bool

evolution_function_is_affine_or_constant_p (tree chrec)

{

  return evolution_function_is_affine_p (chrec)

    || evolution_function_is_constant_p (chrec);

}

/* Determines whether EXPR does not contains chrec expressions.  */

static inline bool

tree_does_not_contain_chrecs (tree expr)

{

  return !tree_contains_chrecs (expr, NULL);

}

/* Determines whether CHREC is a loop invariant with respect to LOOP_NUM.

   Set the result in RES and return true when the property can be computed.  */

static inline bool

no_evolution_in_loop_p (tree chrec, unsigned loop_num, bool *res)

{

  tree scev;

  if (chrec == chrec_not_analyzed_yet

      || chrec == chrec_dont_know

      || chrec_contains_symbols_defined_in_loop (chrec, loop_num))

    return false;

  scev = hide_evolution_in_other_loops_than_loop (chrec, loop_num);

  *res = !tree_is_chrec (scev);

  return true;

}

/* Returns the type of the chrec.  */

static inline tree

chrec_type (tree chrec)

{

  if (automatically_generated_chrec_p (chrec))

    return NULL_TREE;

  return TREE_TYPE (chrec);

}

#endif  /* GCC_TREE_CHREC_H  */