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authorIan Lance Taylor <iant@golang.org>2022-02-11 15:02:44 -0800
committerIan Lance Taylor <iant@golang.org>2022-02-11 15:02:44 -0800
commit9a510fb0970d3d9a4201bce8965cabe67850386b (patch)
tree43d7fd2bbfd7ad8c9625a718a5e8718889351994 /gcc/tree-chrec.c
parenta6d3012b274f38b20e2a57162106f625746af6c6 (diff)
parent8dc2499aa62f768c6395c9754b8cabc1ce25c494 (diff)
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Merge from trunk revision 8dc2499aa62f768c6395c9754b8cabc1ce25c494
Diffstat (limited to 'gcc/tree-chrec.c')
-rw-r--r--gcc/tree-chrec.c1772
1 files changed, 0 insertions, 1772 deletions
diff --git a/gcc/tree-chrec.c b/gcc/tree-chrec.c
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--- a/gcc/tree-chrec.c
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@@ -1,1772 +0,0 @@
-/* Chains of recurrences.
- Copyright (C) 2003-2021 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/>. */
-
-/* This file implements operations on chains of recurrences. Chains
- of recurrences are used for modeling evolution functions of scalar
- variables.
-*/
-
-#include "config.h"
-#include "system.h"
-#include "coretypes.h"
-#include "backend.h"
-#include "tree.h"
-#include "gimple-expr.h"
-#include "tree-pretty-print.h"
-#include "fold-const.h"
-#include "cfgloop.h"
-#include "tree-ssa-loop-ivopts.h"
-#include "tree-ssa-loop-niter.h"
-#include "tree-chrec.h"
-#include "gimple.h"
-#include "tree-ssa-loop.h"
-#include "dumpfile.h"
-#include "tree-scalar-evolution.h"
-
-/* Extended folder for chrecs. */
-
-/* Fold the addition of two polynomial functions. */
-
-static inline tree
-chrec_fold_plus_poly_poly (enum tree_code code,
- tree type,
- tree poly0,
- tree poly1)
-{
- tree left, right;
- class loop *loop0 = get_chrec_loop (poly0);
- class loop *loop1 = get_chrec_loop (poly1);
- tree rtype = code == POINTER_PLUS_EXPR ? chrec_type (poly1) : type;
-
- gcc_assert (poly0);
- gcc_assert (poly1);
- gcc_assert (TREE_CODE (poly0) == POLYNOMIAL_CHREC);
- gcc_assert (TREE_CODE (poly1) == POLYNOMIAL_CHREC);
- if (POINTER_TYPE_P (chrec_type (poly0)))
- gcc_checking_assert (ptrofftype_p (chrec_type (poly1))
- && useless_type_conversion_p (type, chrec_type (poly0)));
- else
- gcc_checking_assert (useless_type_conversion_p (type, chrec_type (poly0))
- && useless_type_conversion_p (type, chrec_type (poly1)));
-
- /*
- {a, +, b}_1 + {c, +, d}_2 -> {{a, +, b}_1 + c, +, d}_2,
- {a, +, b}_2 + {c, +, d}_1 -> {{c, +, d}_1 + a, +, b}_2,
- {a, +, b}_x + {c, +, d}_x -> {a+c, +, b+d}_x. */
- if (flow_loop_nested_p (loop0, loop1))
- {
- if (code == PLUS_EXPR || code == POINTER_PLUS_EXPR)
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly1),
- chrec_fold_plus (type, poly0, CHREC_LEFT (poly1)),
- CHREC_RIGHT (poly1));
- else
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly1),
- chrec_fold_minus (type, poly0, CHREC_LEFT (poly1)),
- chrec_fold_multiply (type, CHREC_RIGHT (poly1),
- SCALAR_FLOAT_TYPE_P (type)
- ? build_real (type, dconstm1)
- : build_int_cst_type (type, -1)));
- }
-
- if (flow_loop_nested_p (loop1, loop0))
- {
- if (code == PLUS_EXPR || code == POINTER_PLUS_EXPR)
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly0),
- chrec_fold_plus (type, CHREC_LEFT (poly0), poly1),
- CHREC_RIGHT (poly0));
- else
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly0),
- chrec_fold_minus (type, CHREC_LEFT (poly0), poly1),
- CHREC_RIGHT (poly0));
- }
-
- /* This function should never be called for chrecs of loops that
- do not belong to the same loop nest. */
- if (loop0 != loop1)
- {
- /* It still can happen if we are not in loop-closed SSA form. */
- gcc_assert (! loops_state_satisfies_p (LOOP_CLOSED_SSA));
- return chrec_dont_know;
- }
-
- if (code == PLUS_EXPR || code == POINTER_PLUS_EXPR)
- {
- left = chrec_fold_plus
- (type, CHREC_LEFT (poly0), CHREC_LEFT (poly1));
- right = chrec_fold_plus
- (rtype, CHREC_RIGHT (poly0), CHREC_RIGHT (poly1));
- }
- else
- {
- left = chrec_fold_minus
- (type, CHREC_LEFT (poly0), CHREC_LEFT (poly1));
- right = chrec_fold_minus
- (type, CHREC_RIGHT (poly0), CHREC_RIGHT (poly1));
- }
-
- if (chrec_zerop (right))
- return left;
- else
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly0), left, right);
-}
-
-
-
-/* Fold the multiplication of two polynomial functions. */
-
-static inline tree
-chrec_fold_multiply_poly_poly (tree type,
- tree poly0,
- tree poly1)
-{
- tree t0, t1, t2;
- int var;
- class loop *loop0 = get_chrec_loop (poly0);
- class loop *loop1 = get_chrec_loop (poly1);
-
- gcc_assert (poly0);
- gcc_assert (poly1);
- gcc_assert (TREE_CODE (poly0) == POLYNOMIAL_CHREC);
- gcc_assert (TREE_CODE (poly1) == POLYNOMIAL_CHREC);
- gcc_checking_assert (useless_type_conversion_p (type, chrec_type (poly0))
- && useless_type_conversion_p (type, chrec_type (poly1)));
-
- /* {a, +, b}_1 * {c, +, d}_2 -> {c*{a, +, b}_1, +, d}_2,
- {a, +, b}_2 * {c, +, d}_1 -> {a*{c, +, d}_1, +, b}_2,
- {a, +, b}_x * {c, +, d}_x -> {a*c, +, a*d + b*c + b*d, +, 2*b*d}_x. */
- if (flow_loop_nested_p (loop0, loop1))
- /* poly0 is a constant wrt. poly1. */
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly1),
- chrec_fold_multiply (type, CHREC_LEFT (poly1), poly0),
- CHREC_RIGHT (poly1));
-
- if (flow_loop_nested_p (loop1, loop0))
- /* poly1 is a constant wrt. poly0. */
- return build_polynomial_chrec
- (CHREC_VARIABLE (poly0),
- chrec_fold_multiply (type, CHREC_LEFT (poly0), poly1),
- CHREC_RIGHT (poly0));
-
- if (loop0 != loop1)
- {
- /* It still can happen if we are not in loop-closed SSA form. */
- gcc_assert (! loops_state_satisfies_p (LOOP_CLOSED_SSA));
- return chrec_dont_know;
- }
-
- /* poly0 and poly1 are two polynomials in the same variable,
- {a, +, b}_x * {c, +, d}_x -> {a*c, +, a*d + b*c + b*d, +, 2*b*d}_x. */
-
- /* "a*c". */
- t0 = chrec_fold_multiply (type, CHREC_LEFT (poly0), CHREC_LEFT (poly1));
-
- /* "a*d + b*c". */
- t1 = chrec_fold_multiply (type, CHREC_LEFT (poly0), CHREC_RIGHT (poly1));
- t1 = chrec_fold_plus (type, t1, chrec_fold_multiply (type,
- CHREC_RIGHT (poly0),
- CHREC_LEFT (poly1)));
- /* "b*d". */
- t2 = chrec_fold_multiply (type, CHREC_RIGHT (poly0), CHREC_RIGHT (poly1));
- /* "a*d + b*c + b*d". */
- t1 = chrec_fold_plus (type, t1, t2);
- /* "2*b*d". */
- t2 = chrec_fold_multiply (type, SCALAR_FLOAT_TYPE_P (type)
- ? build_real (type, dconst2)
- : build_int_cst (type, 2), t2);
-
- var = CHREC_VARIABLE (poly0);
- return build_polynomial_chrec (var, t0,
- build_polynomial_chrec (var, t1, t2));
-}
-
-/* When the operands are automatically_generated_chrec_p, the fold has
- to respect the semantics of the operands. */
-
-static inline tree
-chrec_fold_automatically_generated_operands (tree op0,
- tree op1)
-{
- if (op0 == chrec_dont_know
- || op1 == chrec_dont_know)
- return chrec_dont_know;
-
- if (op0 == chrec_known
- || op1 == chrec_known)
- return chrec_known;
-
- if (op0 == chrec_not_analyzed_yet
- || op1 == chrec_not_analyzed_yet)
- return chrec_not_analyzed_yet;
-
- /* The default case produces a safe result. */
- return chrec_dont_know;
-}
-
-/* Fold the addition of two chrecs. */
-
-static tree
-chrec_fold_plus_1 (enum tree_code code, tree type,
- tree op0, tree op1)
-{
- if (automatically_generated_chrec_p (op0)
- || automatically_generated_chrec_p (op1))
- return chrec_fold_automatically_generated_operands (op0, op1);
-
- switch (TREE_CODE (op0))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op0, CHREC_VARIABLE (op0)));
- switch (TREE_CODE (op1))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op1,
- CHREC_VARIABLE (op1)));
- return chrec_fold_plus_poly_poly (code, type, op0, op1);
-
- CASE_CONVERT:
- {
- /* We can strip sign-conversions to signed by performing the
- operation in unsigned. */
- tree optype = TREE_TYPE (TREE_OPERAND (op1, 0));
- if (INTEGRAL_TYPE_P (type)
- && INTEGRAL_TYPE_P (optype)
- && tree_nop_conversion_p (type, optype)
- && TYPE_UNSIGNED (optype))
- return chrec_convert (type,
- chrec_fold_plus_1 (code, optype,
- chrec_convert (optype,
- op0, NULL),
- TREE_OPERAND (op1, 0)),
- NULL);
- if (tree_contains_chrecs (op1, NULL))
- return chrec_dont_know;
- }
- /* FALLTHRU */
-
- default:
- if (code == PLUS_EXPR || code == POINTER_PLUS_EXPR)
- return build_polynomial_chrec
- (CHREC_VARIABLE (op0),
- chrec_fold_plus (type, CHREC_LEFT (op0), op1),
- CHREC_RIGHT (op0));
- else
- return build_polynomial_chrec
- (CHREC_VARIABLE (op0),
- chrec_fold_minus (type, CHREC_LEFT (op0), op1),
- CHREC_RIGHT (op0));
- }
-
- CASE_CONVERT:
- {
- /* We can strip sign-conversions to signed by performing the
- operation in unsigned. */
- tree optype = TREE_TYPE (TREE_OPERAND (op0, 0));
- if (INTEGRAL_TYPE_P (type)
- && INTEGRAL_TYPE_P (optype)
- && tree_nop_conversion_p (type, optype)
- && TYPE_UNSIGNED (optype))
- return chrec_convert (type,
- chrec_fold_plus_1 (code, optype,
- TREE_OPERAND (op0, 0),
- chrec_convert (optype,
- op1, NULL)),
- NULL);
- if (tree_contains_chrecs (op0, NULL))
- return chrec_dont_know;
- }
- /* FALLTHRU */
-
- default:
- switch (TREE_CODE (op1))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op1,
- CHREC_VARIABLE (op1)));
- if (code == PLUS_EXPR || code == POINTER_PLUS_EXPR)
- return build_polynomial_chrec
- (CHREC_VARIABLE (op1),
- chrec_fold_plus (type, op0, CHREC_LEFT (op1)),
- CHREC_RIGHT (op1));
- else
- return build_polynomial_chrec
- (CHREC_VARIABLE (op1),
- chrec_fold_minus (type, op0, CHREC_LEFT (op1)),
- chrec_fold_multiply (type, CHREC_RIGHT (op1),
- SCALAR_FLOAT_TYPE_P (type)
- ? build_real (type, dconstm1)
- : build_int_cst_type (type, -1)));
-
- CASE_CONVERT:
- if (tree_contains_chrecs (op1, NULL))
- return chrec_dont_know;
- /* FALLTHRU */
-
- default:
- {
- int size = 0;
- if ((tree_contains_chrecs (op0, &size)
- || tree_contains_chrecs (op1, &size))
- && size < param_scev_max_expr_size)
- return build2 (code, type, op0, op1);
- else if (size < param_scev_max_expr_size)
- {
- if (code == POINTER_PLUS_EXPR)
- return fold_build_pointer_plus (fold_convert (type, op0),
- op1);
- else
- return fold_build2 (code, type,
- fold_convert (type, op0),
- fold_convert (type, op1));
- }
- else
- return chrec_dont_know;
- }
- }
- }
-}
-
-/* Fold the addition of two chrecs. */
-
-tree
-chrec_fold_plus (tree type,
- tree op0,
- tree op1)
-{
- enum tree_code code;
- if (automatically_generated_chrec_p (op0)
- || automatically_generated_chrec_p (op1))
- return chrec_fold_automatically_generated_operands (op0, op1);
-
- if (integer_zerop (op0))
- return chrec_convert (type, op1, NULL);
- if (integer_zerop (op1))
- return chrec_convert (type, op0, NULL);
-
- if (POINTER_TYPE_P (type))
- code = POINTER_PLUS_EXPR;
- else
- code = PLUS_EXPR;
-
- return chrec_fold_plus_1 (code, type, op0, op1);
-}
-
-/* Fold the subtraction of two chrecs. */
-
-tree
-chrec_fold_minus (tree type,
- tree op0,
- tree op1)
-{
- if (automatically_generated_chrec_p (op0)
- || automatically_generated_chrec_p (op1))
- return chrec_fold_automatically_generated_operands (op0, op1);
-
- if (integer_zerop (op1))
- return op0;
-
- return chrec_fold_plus_1 (MINUS_EXPR, type, op0, op1);
-}
-
-/* Fold the multiplication of two chrecs. */
-
-tree
-chrec_fold_multiply (tree type,
- tree op0,
- tree op1)
-{
- if (automatically_generated_chrec_p (op0)
- || automatically_generated_chrec_p (op1))
- return chrec_fold_automatically_generated_operands (op0, op1);
-
- switch (TREE_CODE (op0))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op0, CHREC_VARIABLE (op0)));
- switch (TREE_CODE (op1))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op1,
- CHREC_VARIABLE (op1)));
- return chrec_fold_multiply_poly_poly (type, op0, op1);
-
- CASE_CONVERT:
- if (tree_contains_chrecs (op1, NULL))
- return chrec_dont_know;
- /* FALLTHRU */
-
- default:
- if (integer_onep (op1))
- return op0;
- if (integer_zerop (op1))
- return build_int_cst (type, 0);
-
- return build_polynomial_chrec
- (CHREC_VARIABLE (op0),
- chrec_fold_multiply (type, CHREC_LEFT (op0), op1),
- chrec_fold_multiply (type, CHREC_RIGHT (op0), op1));
- }
-
- CASE_CONVERT:
- if (tree_contains_chrecs (op0, NULL))
- return chrec_dont_know;
- /* FALLTHRU */
-
- default:
- if (integer_onep (op0))
- return op1;
-
- if (integer_zerop (op0))
- return build_int_cst (type, 0);
-
- switch (TREE_CODE (op1))
- {
- case POLYNOMIAL_CHREC:
- gcc_checking_assert
- (!chrec_contains_symbols_defined_in_loop (op1,
- CHREC_VARIABLE (op1)));
- return build_polynomial_chrec
- (CHREC_VARIABLE (op1),
- chrec_fold_multiply (type, CHREC_LEFT (op1), op0),
- chrec_fold_multiply (type, CHREC_RIGHT (op1), op0));
-
- CASE_CONVERT:
- if (tree_contains_chrecs (op1, NULL))
- return chrec_dont_know;
- /* FALLTHRU */
-
- default:
- if (integer_onep (op1))
- return op0;
- if (integer_zerop (op1))
- return build_int_cst (type, 0);
- return fold_build2 (MULT_EXPR, type, op0, op1);
- }
- }
-}
-
-
-
-/* Operations. */
-
-/* Evaluate the binomial coefficient. Return NULL_TREE if the intermediate
- calculation overflows, otherwise return C(n,k) with type TYPE. */
-
-static tree
-tree_fold_binomial (tree type, tree n, unsigned int k)
-{
- wi::overflow_type overflow;
- unsigned int i;
-
- /* Handle the most frequent cases. */
- if (k == 0)
- return build_int_cst (type, 1);
- if (k == 1)
- return fold_convert (type, n);
-
- widest_int num = wi::to_widest (n);
-
- /* Check that k <= n. */
- if (wi::ltu_p (num, k))
- return NULL_TREE;
-
- /* Denominator = 2. */
- widest_int denom = 2;
-
- /* Index = Numerator-1. */
- widest_int idx = num - 1;
-
- /* Numerator = Numerator*Index = n*(n-1). */
- num = wi::smul (num, idx, &overflow);
- if (overflow)
- return NULL_TREE;
-
- for (i = 3; i <= k; i++)
- {
- /* Index--. */
- --idx;
-
- /* Numerator *= Index. */
- num = wi::smul (num, idx, &overflow);
- if (overflow)
- return NULL_TREE;
-
- /* Denominator *= i. */
- denom *= i;
- }
-
- /* Result = Numerator / Denominator. */
- num = wi::udiv_trunc (num, denom);
- if (! wi::fits_to_tree_p (num, type))
- return NULL_TREE;
- return wide_int_to_tree (type, num);
-}
-
-/* Helper function. Use the Newton's interpolating formula for
- evaluating the value of the evolution function.
- The result may be in an unsigned type of CHREC. */
-
-static tree
-chrec_evaluate (unsigned var, tree chrec, tree n, unsigned int k)
-{
- tree arg0, arg1, binomial_n_k;
- tree type = TREE_TYPE (chrec);
- class loop *var_loop = get_loop (cfun, var);
-
- while (TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && flow_loop_nested_p (var_loop, get_chrec_loop (chrec)))
- chrec = CHREC_LEFT (chrec);
-
- /* The formula associates the expression and thus we have to make
- sure to not introduce undefined overflow. */
- tree ctype = type;
- if (INTEGRAL_TYPE_P (type)
- && ! TYPE_OVERFLOW_WRAPS (type))
- ctype = unsigned_type_for (type);
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && CHREC_VARIABLE (chrec) == var)
- {
- arg1 = chrec_evaluate (var, CHREC_RIGHT (chrec), n, k + 1);
- if (arg1 == chrec_dont_know)
- return chrec_dont_know;
- binomial_n_k = tree_fold_binomial (ctype, n, k);
- if (!binomial_n_k)
- return chrec_dont_know;
- tree l = chrec_convert (ctype, CHREC_LEFT (chrec), NULL);
- arg0 = fold_build2 (MULT_EXPR, ctype, l, binomial_n_k);
- return chrec_fold_plus (ctype, arg0, arg1);
- }
-
- binomial_n_k = tree_fold_binomial (ctype, n, k);
- if (!binomial_n_k)
- return chrec_dont_know;
-
- return fold_build2 (MULT_EXPR, ctype,
- chrec_convert (ctype, chrec, NULL), binomial_n_k);
-}
-
-/* Evaluates "CHREC (X)" when the varying variable is VAR.
- Example: Given the following parameters,
-
- var = 1
- chrec = {3, +, 4}_1
- x = 10
-
- The result is given by the Newton's interpolating formula:
- 3 * \binom{10}{0} + 4 * \binom{10}{1}.
-*/
-
-tree
-chrec_apply (unsigned var,
- tree chrec,
- tree x)
-{
- tree type = chrec_type (chrec);
- tree res = chrec_dont_know;
-
- if (automatically_generated_chrec_p (chrec)
- || automatically_generated_chrec_p (x)
-
- /* When the symbols are defined in an outer loop, it is possible
- to symbolically compute the apply, since the symbols are
- constants with respect to the varying loop. */
- || chrec_contains_symbols_defined_in_loop (chrec, var))
- return chrec_dont_know;
-
- if (dump_file && (dump_flags & TDF_SCEV))
- fprintf (dump_file, "(chrec_apply \n");
-
- if (TREE_CODE (x) == INTEGER_CST && SCALAR_FLOAT_TYPE_P (type))
- x = build_real_from_int_cst (type, x);
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- if (evolution_function_is_affine_p (chrec))
- {
- if (CHREC_VARIABLE (chrec) != var)
- return build_polynomial_chrec
- (CHREC_VARIABLE (chrec),
- chrec_apply (var, CHREC_LEFT (chrec), x),
- chrec_apply (var, CHREC_RIGHT (chrec), x));
-
- /* "{a, +, b} (x)" -> "a + b*x". */
- x = chrec_convert_rhs (type, x, NULL);
- res = chrec_fold_multiply (TREE_TYPE (x), CHREC_RIGHT (chrec), x);
- res = chrec_fold_plus (type, CHREC_LEFT (chrec), res);
- }
- else if (TREE_CODE (x) == INTEGER_CST
- && tree_int_cst_sgn (x) == 1)
- /* testsuite/.../ssa-chrec-38.c. */
- res = chrec_convert (type, chrec_evaluate (var, chrec, x, 0), NULL);
- else
- res = chrec_dont_know;
- break;
-
- CASE_CONVERT:
- res = chrec_convert (TREE_TYPE (chrec),
- chrec_apply (var, TREE_OPERAND (chrec, 0), x),
- NULL);
- break;
-
- default:
- res = chrec;
- break;
- }
-
- if (dump_file && (dump_flags & TDF_SCEV))
- {
- fprintf (dump_file, " (varying_loop = %d\n", var);
- fprintf (dump_file, ")\n (chrec = ");
- print_generic_expr (dump_file, chrec);
- fprintf (dump_file, ")\n (x = ");
- print_generic_expr (dump_file, x);
- fprintf (dump_file, ")\n (res = ");
- print_generic_expr (dump_file, res);
- fprintf (dump_file, "))\n");
- }
-
- return res;
-}
-
-/* For a given CHREC and an induction variable map IV_MAP that maps
- (loop->num, expr) for every loop number of the current_loops an
- expression, calls chrec_apply when the expression is not NULL. */
-
-tree
-chrec_apply_map (tree chrec, vec<tree> iv_map)
-{
- int i;
- tree expr;
-
- FOR_EACH_VEC_ELT (iv_map, i, expr)
- if (expr)
- chrec = chrec_apply (i, chrec, expr);
-
- return chrec;
-}
-
-/* Replaces the initial condition in CHREC with INIT_COND. */
-
-tree
-chrec_replace_initial_condition (tree chrec,
- tree init_cond)
-{
- if (automatically_generated_chrec_p (chrec))
- return chrec;
-
- gcc_assert (chrec_type (chrec) == chrec_type (init_cond));
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- return build_polynomial_chrec
- (CHREC_VARIABLE (chrec),
- chrec_replace_initial_condition (CHREC_LEFT (chrec), init_cond),
- CHREC_RIGHT (chrec));
-
- default:
- return init_cond;
- }
-}
-
-/* Returns the initial condition of a given CHREC. */
-
-tree
-initial_condition (tree chrec)
-{
- if (automatically_generated_chrec_p (chrec))
- return chrec;
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
- return initial_condition (CHREC_LEFT (chrec));
- else
- return chrec;
-}
-
-/* Returns a univariate function that represents the evolution in
- LOOP_NUM. Mask the evolution of any other loop. */
-
-tree
-hide_evolution_in_other_loops_than_loop (tree chrec,
- unsigned loop_num)
-{
- class loop *loop = get_loop (cfun, loop_num), *chloop;
- if (automatically_generated_chrec_p (chrec))
- return chrec;
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- chloop = get_chrec_loop (chrec);
-
- if (chloop == loop)
- return build_polynomial_chrec
- (loop_num,
- hide_evolution_in_other_loops_than_loop (CHREC_LEFT (chrec),
- loop_num),
- CHREC_RIGHT (chrec));
-
- else if (flow_loop_nested_p (chloop, loop))
- /* There is no evolution in this loop. */
- return initial_condition (chrec);
-
- else if (flow_loop_nested_p (loop, chloop))
- return hide_evolution_in_other_loops_than_loop (CHREC_LEFT (chrec),
- loop_num);
-
- else
- return chrec_dont_know;
-
- default:
- return chrec;
- }
-}
-
-/* Returns the evolution part of CHREC in LOOP_NUM when RIGHT is
- true, otherwise returns the initial condition in LOOP_NUM. */
-
-static tree
-chrec_component_in_loop_num (tree chrec,
- unsigned loop_num,
- bool right)
-{
- tree component;
- class loop *loop = get_loop (cfun, loop_num), *chloop;
-
- if (automatically_generated_chrec_p (chrec))
- return chrec;
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- chloop = get_chrec_loop (chrec);
-
- if (chloop == loop)
- {
- if (right)
- component = CHREC_RIGHT (chrec);
- else
- component = CHREC_LEFT (chrec);
-
- if (TREE_CODE (CHREC_LEFT (chrec)) != POLYNOMIAL_CHREC
- || CHREC_VARIABLE (CHREC_LEFT (chrec)) != CHREC_VARIABLE (chrec))
- return component;
-
- else
- return build_polynomial_chrec
- (loop_num,
- chrec_component_in_loop_num (CHREC_LEFT (chrec),
- loop_num,
- right),
- component);
- }
-
- else if (flow_loop_nested_p (chloop, loop))
- /* There is no evolution part in this loop. */
- return NULL_TREE;
-
- else
- {
- gcc_assert (flow_loop_nested_p (loop, chloop));
- return chrec_component_in_loop_num (CHREC_LEFT (chrec),
- loop_num,
- right);
- }
-
- default:
- if (right)
- return NULL_TREE;
- else
- return chrec;
- }
-}
-
-/* Returns the evolution part in LOOP_NUM. Example: the call
- evolution_part_in_loop_num ({{0, +, 1}_1, +, 2}_1, 1) returns
- {1, +, 2}_1 */
-
-tree
-evolution_part_in_loop_num (tree chrec,
- unsigned loop_num)
-{
- return chrec_component_in_loop_num (chrec, loop_num, true);
-}
-
-/* Returns the initial condition in LOOP_NUM. Example: the call
- initial_condition_in_loop_num ({{0, +, 1}_1, +, 2}_2, 2) returns
- {0, +, 1}_1 */
-
-tree
-initial_condition_in_loop_num (tree chrec,
- unsigned loop_num)
-{
- return chrec_component_in_loop_num (chrec, loop_num, false);
-}
-
-/* Set or reset the evolution of CHREC to NEW_EVOL in loop LOOP_NUM.
- This function is essentially used for setting the evolution to
- chrec_dont_know, for example after having determined that it is
- impossible to say how many times a loop will execute. */
-
-tree
-reset_evolution_in_loop (unsigned loop_num,
- tree chrec,
- tree new_evol)
-{
- class loop *loop = get_loop (cfun, loop_num);
-
- if (POINTER_TYPE_P (chrec_type (chrec)))
- gcc_assert (ptrofftype_p (chrec_type (new_evol)));
- else
- gcc_assert (chrec_type (chrec) == chrec_type (new_evol));
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && flow_loop_nested_p (loop, get_chrec_loop (chrec)))
- {
- tree left = reset_evolution_in_loop (loop_num, CHREC_LEFT (chrec),
- new_evol);
- tree right = reset_evolution_in_loop (loop_num, CHREC_RIGHT (chrec),
- new_evol);
- return build_polynomial_chrec (CHREC_VARIABLE (chrec), left, right);
- }
-
- while (TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && CHREC_VARIABLE (chrec) == loop_num)
- chrec = CHREC_LEFT (chrec);
-
- return build_polynomial_chrec (loop_num, chrec, new_evol);
-}
-
-/* Merges two evolution functions that were found by following two
- alternate paths of a conditional expression. */
-
-tree
-chrec_merge (tree chrec1,
- tree chrec2)
-{
- if (chrec1 == chrec_dont_know
- || chrec2 == chrec_dont_know)
- return chrec_dont_know;
-
- if (chrec1 == chrec_known
- || chrec2 == chrec_known)
- return chrec_known;
-
- if (chrec1 == chrec_not_analyzed_yet)
- return chrec2;
- if (chrec2 == chrec_not_analyzed_yet)
- return chrec1;
-
- if (eq_evolutions_p (chrec1, chrec2))
- return chrec1;
-
- return chrec_dont_know;
-}
-
-
-
-/* Observers. */
-
-/* Helper function for is_multivariate_chrec. */
-
-static bool
-is_multivariate_chrec_rec (const_tree chrec, unsigned int rec_var)
-{
- if (chrec == NULL_TREE)
- return false;
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
- {
- if (CHREC_VARIABLE (chrec) != rec_var)
- return true;
- else
- return (is_multivariate_chrec_rec (CHREC_LEFT (chrec), rec_var)
- || is_multivariate_chrec_rec (CHREC_RIGHT (chrec), rec_var));
- }
- else
- return false;
-}
-
-/* Determine whether the given chrec is multivariate or not. */
-
-bool
-is_multivariate_chrec (const_tree chrec)
-{
- if (chrec == NULL_TREE)
- return false;
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
- return (is_multivariate_chrec_rec (CHREC_LEFT (chrec),
- CHREC_VARIABLE (chrec))
- || is_multivariate_chrec_rec (CHREC_RIGHT (chrec),
- CHREC_VARIABLE (chrec)));
- else
- return false;
-}
-
-/* Determines whether the chrec contains symbolic names or not. If LOOP isn't
- NULL, we also consider chrec wrto outer loops of LOOP as symbol. */
-
-static bool
-chrec_contains_symbols (const_tree chrec, hash_set<const_tree> &visited,
- class loop *loop)
-{
- int i, n;
-
- if (chrec == NULL_TREE)
- return false;
-
- if (TREE_CODE (chrec) == SSA_NAME
- || VAR_P (chrec)
- || TREE_CODE (chrec) == POLY_INT_CST
- || TREE_CODE (chrec) == PARM_DECL
- || TREE_CODE (chrec) == FUNCTION_DECL
- || TREE_CODE (chrec) == LABEL_DECL
- || TREE_CODE (chrec) == RESULT_DECL
- || TREE_CODE (chrec) == FIELD_DECL)
- return true;
-
- if (loop != NULL
- && TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && flow_loop_nested_p (get_chrec_loop (chrec), loop))
- return true;
-
- if (visited.add (chrec))
- return false;
-
- n = TREE_OPERAND_LENGTH (chrec);
- for (i = 0; i < n; i++)
- if (chrec_contains_symbols (TREE_OPERAND (chrec, i), visited, loop))
- return true;
- return false;
-}
-
-/* Return true if CHREC contains any symbols. If LOOP is not NULL, check if
- CHREC contains any chrec which is invariant wrto the loop (nest), in other
- words, chrec defined by outer loops of loop, so from LOOP's point of view,
- the chrec is considered as a SYMBOL. */
-
-bool
-chrec_contains_symbols (const_tree chrec, class loop* loop)
-{
- hash_set<const_tree> visited;
- return chrec_contains_symbols (chrec, visited, loop);
-}
-
-/* Return true when CHREC contains symbolic names defined in
- LOOP_NB. */
-
-static bool
-chrec_contains_symbols_defined_in_loop (const_tree chrec, unsigned loop_nb,
- hash_set<const_tree> &visited)
-{
- int i, n;
-
- if (chrec == NULL_TREE)
- return false;
-
- if (is_gimple_min_invariant (chrec))
- return false;
-
- if (TREE_CODE (chrec) == SSA_NAME)
- {
- gimple *def;
- loop_p def_loop, loop;
-
- if (SSA_NAME_IS_DEFAULT_DEF (chrec))
- return false;
-
- def = SSA_NAME_DEF_STMT (chrec);
- def_loop = loop_containing_stmt (def);
- loop = get_loop (cfun, loop_nb);
-
- if (def_loop == NULL)
- return false;
-
- if (loop == def_loop || flow_loop_nested_p (loop, def_loop))
- return true;
-
- return false;
- }
-
- if (visited.add (chrec))
- return false;
-
- n = TREE_OPERAND_LENGTH (chrec);
- for (i = 0; i < n; i++)
- if (chrec_contains_symbols_defined_in_loop (TREE_OPERAND (chrec, i),
- loop_nb, visited))
- return true;
- return false;
-}
-
-/* Return true when CHREC contains symbolic names defined in
- LOOP_NB. */
-
-bool
-chrec_contains_symbols_defined_in_loop (const_tree chrec, unsigned loop_nb)
-{
- hash_set<const_tree> visited;
- return chrec_contains_symbols_defined_in_loop (chrec, loop_nb, visited);
-}
-
-/* Determines whether the chrec contains undetermined coefficients. */
-
-static bool
-chrec_contains_undetermined (const_tree chrec, hash_set<const_tree> &visited)
-{
- int i, n;
-
- if (chrec == chrec_dont_know)
- return true;
-
- if (chrec == NULL_TREE)
- return false;
-
- if (visited.add (chrec))
- return false;
-
- n = TREE_OPERAND_LENGTH (chrec);
- for (i = 0; i < n; i++)
- if (chrec_contains_undetermined (TREE_OPERAND (chrec, i), visited))
- return true;
- return false;
-}
-
-bool
-chrec_contains_undetermined (const_tree chrec)
-{
- hash_set<const_tree> visited;
- return chrec_contains_undetermined (chrec, visited);
-}
-
-/* Determines whether the tree EXPR contains chrecs, and increment
- SIZE if it is not a NULL pointer by an estimation of the depth of
- the tree. */
-
-static bool
-tree_contains_chrecs (const_tree expr, int *size, hash_set<const_tree> &visited)
-{
- int i, n;
-
- if (expr == NULL_TREE)
- return false;
-
- if (size)
- (*size)++;
-
- if (tree_is_chrec (expr))
- return true;
-
- if (visited.add (expr))
- return false;
-
- n = TREE_OPERAND_LENGTH (expr);
- for (i = 0; i < n; i++)
- if (tree_contains_chrecs (TREE_OPERAND (expr, i), size, visited))
- return true;
- return false;
-}
-
-bool
-tree_contains_chrecs (const_tree expr, int *size)
-{
- hash_set<const_tree> visited;
- return tree_contains_chrecs (expr, size, visited);
-}
-
-
-/* Recursive helper function. */
-
-static bool
-evolution_function_is_invariant_rec_p (tree chrec, int loopnum)
-{
- if (evolution_function_is_constant_p (chrec))
- return true;
-
- if (TREE_CODE (chrec) == SSA_NAME
- && (loopnum == 0
- || expr_invariant_in_loop_p (get_loop (cfun, loopnum), chrec)))
- return true;
-
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
- {
- if (CHREC_VARIABLE (chrec) == (unsigned) loopnum
- || flow_loop_nested_p (get_loop (cfun, loopnum),
- get_chrec_loop (chrec))
- || !evolution_function_is_invariant_rec_p (CHREC_RIGHT (chrec),
- loopnum)
- || !evolution_function_is_invariant_rec_p (CHREC_LEFT (chrec),
- loopnum))
- return false;
- return true;
- }
-
- switch (TREE_OPERAND_LENGTH (chrec))
- {
- case 2:
- if (!evolution_function_is_invariant_rec_p (TREE_OPERAND (chrec, 1),
- loopnum))
- return false;
- /* FALLTHRU */
-
- case 1:
- if (!evolution_function_is_invariant_rec_p (TREE_OPERAND (chrec, 0),
- loopnum))
- return false;
- return true;
-
- default:
- return false;
- }
-
- return false;
-}
-
-/* Return true if CHREC is invariant in loop LOOPNUM, false otherwise. */
-
-bool
-evolution_function_is_invariant_p (tree chrec, int loopnum)
-{
- return evolution_function_is_invariant_rec_p (chrec, loopnum);
-}
-
-/* Determine whether the given tree is an affine multivariate
- evolution. */
-
-bool
-evolution_function_is_affine_multivariate_p (const_tree chrec, int loopnum)
-{
- if (chrec == NULL_TREE)
- return false;
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- if (evolution_function_is_invariant_rec_p (CHREC_LEFT (chrec), loopnum))
- {
- if (evolution_function_is_invariant_rec_p (CHREC_RIGHT (chrec), loopnum))
- return true;
- else
- {
- if (TREE_CODE (CHREC_RIGHT (chrec)) == POLYNOMIAL_CHREC
- && CHREC_VARIABLE (CHREC_RIGHT (chrec))
- != CHREC_VARIABLE (chrec)
- && evolution_function_is_affine_multivariate_p
- (CHREC_RIGHT (chrec), loopnum))
- return true;
- else
- return false;
- }
- }
- else
- {
- if (evolution_function_is_invariant_rec_p (CHREC_RIGHT (chrec), loopnum)
- && TREE_CODE (CHREC_LEFT (chrec)) == POLYNOMIAL_CHREC
- && CHREC_VARIABLE (CHREC_LEFT (chrec)) != CHREC_VARIABLE (chrec)
- && evolution_function_is_affine_multivariate_p
- (CHREC_LEFT (chrec), loopnum))
- return true;
- else
- return false;
- }
-
- default:
- return false;
- }
-}
-
-/* Determine whether the given tree is a function in zero or one
- variables with respect to loop specified by LOOPNUM. Note only positive
- LOOPNUM stands for a real loop. */
-
-bool
-evolution_function_is_univariate_p (const_tree chrec, int loopnum)
-{
- if (chrec == NULL_TREE)
- return true;
-
- tree sub_chrec;
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- switch (TREE_CODE (CHREC_LEFT (chrec)))
- {
- case POLYNOMIAL_CHREC:
- sub_chrec = CHREC_LEFT (chrec);
- if (CHREC_VARIABLE (chrec) != CHREC_VARIABLE (sub_chrec)
- && (loopnum <= 0
- || CHREC_VARIABLE (sub_chrec) == (unsigned) loopnum
- || flow_loop_nested_p (get_loop (cfun, loopnum),
- get_chrec_loop (sub_chrec))))
- return false;
- if (!evolution_function_is_univariate_p (sub_chrec, loopnum))
- return false;
- break;
-
- default:
- if (tree_contains_chrecs (CHREC_LEFT (chrec), NULL))
- return false;
- break;
- }
-
- switch (TREE_CODE (CHREC_RIGHT (chrec)))
- {
- case POLYNOMIAL_CHREC:
- sub_chrec = CHREC_RIGHT (chrec);
- if (CHREC_VARIABLE (chrec) != CHREC_VARIABLE (sub_chrec)
- && (loopnum <= 0
- || CHREC_VARIABLE (sub_chrec) == (unsigned) loopnum
- || flow_loop_nested_p (get_loop (cfun, loopnum),
- get_chrec_loop (sub_chrec))))
- return false;
- if (!evolution_function_is_univariate_p (sub_chrec, loopnum))
- return false;
- break;
-
- default:
- if (tree_contains_chrecs (CHREC_RIGHT (chrec), NULL))
- return false;
- break;
- }
- return true;
-
- default:
- return true;
- }
-}
-
-/* Returns the number of variables of CHREC. Example: the call
- nb_vars_in_chrec ({{0, +, 1}_5, +, 2}_6) returns 2. */
-
-unsigned
-nb_vars_in_chrec (tree chrec)
-{
- if (chrec == NULL_TREE)
- return 0;
-
- switch (TREE_CODE (chrec))
- {
- case POLYNOMIAL_CHREC:
- return 1 + nb_vars_in_chrec
- (initial_condition_in_loop_num (chrec, CHREC_VARIABLE (chrec)));
-
- default:
- return 0;
- }
-}
-
-/* Converts BASE and STEP of affine scev to TYPE. LOOP is the loop whose iv
- the scev corresponds to. AT_STMT is the statement at that the scev is
- evaluated. USE_OVERFLOW_SEMANTICS is true if this function should assume
- that the rules for overflow of the given language apply (e.g., that signed
- arithmetics in C does not overflow) -- i.e., to use them to avoid
- unnecessary tests, but also to enforce that the result follows them.
- FROM is the source variable converted if it's not NULL. Returns true if
- the conversion succeeded, false otherwise. */
-
-bool
-convert_affine_scev (class loop *loop, tree type,
- tree *base, tree *step, gimple *at_stmt,
- bool use_overflow_semantics, tree from)
-{
- tree ct = TREE_TYPE (*step);
- bool enforce_overflow_semantics;
- bool must_check_src_overflow, must_check_rslt_overflow;
- tree new_base, new_step;
- tree step_type = POINTER_TYPE_P (type) ? sizetype : type;
-
- /* In general,
- (TYPE) (BASE + STEP * i) = (TYPE) BASE + (TYPE -- sign extend) STEP * i,
- but we must check some assumptions.
-
- 1) If [BASE, +, STEP] wraps, the equation is not valid when precision
- of CT is smaller than the precision of TYPE. For example, when we
- cast unsigned char [254, +, 1] to unsigned, the values on left side
- are 254, 255, 0, 1, ..., but those on the right side are
- 254, 255, 256, 257, ...
- 2) In case that we must also preserve the fact that signed ivs do not
- overflow, we must additionally check that the new iv does not wrap.
- For example, unsigned char [125, +, 1] casted to signed char could
- become a wrapping variable with values 125, 126, 127, -128, -127, ...,
- which would confuse optimizers that assume that this does not
- happen. */
- must_check_src_overflow = TYPE_PRECISION (ct) < TYPE_PRECISION (type);
-
- enforce_overflow_semantics = (use_overflow_semantics
- && nowrap_type_p (type));
- if (enforce_overflow_semantics)
- {
- /* We can avoid checking whether the result overflows in the following
- cases:
-
- -- must_check_src_overflow is true, and the range of TYPE is superset
- of the range of CT -- i.e., in all cases except if CT signed and
- TYPE unsigned.
- -- both CT and TYPE have the same precision and signedness, and we
- verify instead that the source does not overflow (this may be
- easier than verifying it for the result, as we may use the
- information about the semantics of overflow in CT). */
- if (must_check_src_overflow)
- {
- if (TYPE_UNSIGNED (type) && !TYPE_UNSIGNED (ct))
- must_check_rslt_overflow = true;
- else
- must_check_rslt_overflow = false;
- }
- else if (TYPE_UNSIGNED (ct) == TYPE_UNSIGNED (type)
- && TYPE_PRECISION (ct) == TYPE_PRECISION (type))
- {
- must_check_rslt_overflow = false;
- must_check_src_overflow = true;
- }
- else
- must_check_rslt_overflow = true;
- }
- else
- must_check_rslt_overflow = false;
-
- if (must_check_src_overflow
- && scev_probably_wraps_p (from, *base, *step, at_stmt, loop,
- use_overflow_semantics))
- return false;
-
- new_base = chrec_convert (type, *base, at_stmt, use_overflow_semantics);
- /* The step must be sign extended, regardless of the signedness
- of CT and TYPE. This only needs to be handled specially when
- CT is unsigned -- to avoid e.g. unsigned char [100, +, 255]
- (with values 100, 99, 98, ...) from becoming signed or unsigned
- [100, +, 255] with values 100, 355, ...; the sign-extension is
- performed by default when CT is signed. */
- new_step = *step;
- if (TYPE_PRECISION (step_type) > TYPE_PRECISION (ct) && TYPE_UNSIGNED (ct))
- {
- tree signed_ct = build_nonstandard_integer_type (TYPE_PRECISION (ct), 0);
- new_step = chrec_convert (signed_ct, new_step, at_stmt,
- use_overflow_semantics);
- }
- new_step = chrec_convert (step_type, new_step, at_stmt,
- use_overflow_semantics);
-
- if (automatically_generated_chrec_p (new_base)
- || automatically_generated_chrec_p (new_step))
- return false;
-
- if (must_check_rslt_overflow
- /* Note that in this case we cannot use the fact that signed variables
- do not overflow, as this is what we are verifying for the new iv. */
- && scev_probably_wraps_p (NULL_TREE, new_base, new_step,
- at_stmt, loop, false))
- return false;
-
- *base = new_base;
- *step = new_step;
- return true;
-}
-
-
-/* Convert CHREC for the right hand side of a CHREC.
- The increment for a pointer type is always sizetype. */
-
-tree
-chrec_convert_rhs (tree type, tree chrec, gimple *at_stmt)
-{
- if (POINTER_TYPE_P (type))
- type = sizetype;
-
- return chrec_convert (type, chrec, at_stmt);
-}
-
-/* Convert CHREC to TYPE. When the analyzer knows the context in
- which the CHREC is built, it sets AT_STMT to the statement that
- contains the definition of the analyzed variable, otherwise the
- conversion is less accurate: the information is used for
- determining a more accurate estimation of the number of iterations.
- By default AT_STMT could be safely set to NULL_TREE.
-
- USE_OVERFLOW_SEMANTICS is true if this function should assume that
- the rules for overflow of the given language apply (e.g., that signed
- arithmetics in C does not overflow) -- i.e., to use them to avoid
- unnecessary tests, but also to enforce that the result follows them.
-
- FROM is the source variable converted if it's not NULL. */
-
-static tree
-chrec_convert_1 (tree type, tree chrec, gimple *at_stmt,
- bool use_overflow_semantics, tree from)
-{
- tree ct, res;
- tree base, step;
- class loop *loop;
-
- if (automatically_generated_chrec_p (chrec))
- return chrec;
-
- ct = chrec_type (chrec);
- if (useless_type_conversion_p (type, ct))
- return chrec;
-
- if (!evolution_function_is_affine_p (chrec))
- goto keep_cast;
-
- loop = get_chrec_loop (chrec);
- base = CHREC_LEFT (chrec);
- step = CHREC_RIGHT (chrec);
-
- if (convert_affine_scev (loop, type, &base, &step, at_stmt,
- use_overflow_semantics, from))
- return build_polynomial_chrec (loop->num, base, step);
-
- /* If we cannot propagate the cast inside the chrec, just keep the cast. */
-keep_cast:
- /* Fold will not canonicalize (long)(i - 1) to (long)i - 1 because that
- may be more expensive. We do want to perform this optimization here
- though for canonicalization reasons. */
- if (use_overflow_semantics
- && (TREE_CODE (chrec) == PLUS_EXPR
- || TREE_CODE (chrec) == MINUS_EXPR)
- && TREE_CODE (type) == INTEGER_TYPE
- && TREE_CODE (ct) == INTEGER_TYPE
- && TYPE_PRECISION (type) > TYPE_PRECISION (ct)
- && TYPE_OVERFLOW_UNDEFINED (ct))
- res = fold_build2 (TREE_CODE (chrec), type,
- fold_convert (type, TREE_OPERAND (chrec, 0)),
- fold_convert (type, TREE_OPERAND (chrec, 1)));
- /* Similar perform the trick that (signed char)((int)x + 2) can be
- narrowed to (signed char)((unsigned char)x + 2). */
- else if (use_overflow_semantics
- && TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && TREE_CODE (ct) == INTEGER_TYPE
- && TREE_CODE (type) == INTEGER_TYPE
- && TYPE_OVERFLOW_UNDEFINED (type)
- && TYPE_PRECISION (type) < TYPE_PRECISION (ct))
- {
- tree utype = unsigned_type_for (type);
- res = build_polynomial_chrec (CHREC_VARIABLE (chrec),
- fold_convert (utype,
- CHREC_LEFT (chrec)),
- fold_convert (utype,
- CHREC_RIGHT (chrec)));
- res = chrec_convert_1 (type, res, at_stmt, use_overflow_semantics, from);
- }
- else
- res = fold_convert (type, chrec);
-
- /* Don't propagate overflows. */
- if (CONSTANT_CLASS_P (res))
- TREE_OVERFLOW (res) = 0;
-
- /* But reject constants that don't fit in their type after conversion.
- This can happen if TYPE_MIN_VALUE or TYPE_MAX_VALUE are not the
- natural values associated with TYPE_PRECISION and TYPE_UNSIGNED,
- and can cause problems later when computing niters of loops. Note
- that we don't do the check before converting because we don't want
- to reject conversions of negative chrecs to unsigned types. */
- if (TREE_CODE (res) == INTEGER_CST
- && TREE_CODE (type) == INTEGER_TYPE
- && !int_fits_type_p (res, type))
- res = chrec_dont_know;
-
- return res;
-}
-
-/* Convert CHREC to TYPE. When the analyzer knows the context in
- which the CHREC is built, it sets AT_STMT to the statement that
- contains the definition of the analyzed variable, otherwise the
- conversion is less accurate: the information is used for
- determining a more accurate estimation of the number of iterations.
- By default AT_STMT could be safely set to NULL_TREE.
-
- The following rule is always true: TREE_TYPE (chrec) ==
- TREE_TYPE (CHREC_LEFT (chrec)) == TREE_TYPE (CHREC_RIGHT (chrec)).
- An example of what could happen when adding two chrecs and the type
- of the CHREC_RIGHT is different than CHREC_LEFT is:
-
- {(uint) 0, +, (uchar) 10} +
- {(uint) 0, +, (uchar) 250}
-
- that would produce a wrong result if CHREC_RIGHT is not (uint):
-
- {(uint) 0, +, (uchar) 4}
-
- instead of
-
- {(uint) 0, +, (uint) 260}
-
- USE_OVERFLOW_SEMANTICS is true if this function should assume that
- the rules for overflow of the given language apply (e.g., that signed
- arithmetics in C does not overflow) -- i.e., to use them to avoid
- unnecessary tests, but also to enforce that the result follows them.
-
- FROM is the source variable converted if it's not NULL. */
-
-tree
-chrec_convert (tree type, tree chrec, gimple *at_stmt,
- bool use_overflow_semantics, tree from)
-{
- return chrec_convert_1 (type, chrec, at_stmt, use_overflow_semantics, from);
-}
-
-/* Convert CHREC to TYPE, without regard to signed overflows. Returns the new
- chrec if something else than what chrec_convert would do happens, NULL_TREE
- otherwise. This function set TRUE to variable pointed by FOLD_CONVERSIONS
- if the result chrec may overflow. */
-
-tree
-chrec_convert_aggressive (tree type, tree chrec, bool *fold_conversions)
-{
- tree inner_type, left, right, lc, rc, rtype;
-
- gcc_assert (fold_conversions != NULL);
-
- if (automatically_generated_chrec_p (chrec)
- || TREE_CODE (chrec) != POLYNOMIAL_CHREC)
- return NULL_TREE;
-
- inner_type = TREE_TYPE (chrec);
- if (TYPE_PRECISION (type) > TYPE_PRECISION (inner_type))
- return NULL_TREE;
-
- if (useless_type_conversion_p (type, inner_type))
- return NULL_TREE;
-
- if (!*fold_conversions && evolution_function_is_affine_p (chrec))
- {
- tree base, step;
- class loop *loop;
-
- loop = get_chrec_loop (chrec);
- base = CHREC_LEFT (chrec);
- step = CHREC_RIGHT (chrec);
- if (convert_affine_scev (loop, type, &base, &step, NULL, true))
- return build_polynomial_chrec (loop->num, base, step);
- }
- rtype = POINTER_TYPE_P (type) ? sizetype : type;
-
- left = CHREC_LEFT (chrec);
- right = CHREC_RIGHT (chrec);
- lc = chrec_convert_aggressive (type, left, fold_conversions);
- if (!lc)
- lc = chrec_convert (type, left, NULL);
- rc = chrec_convert_aggressive (rtype, right, fold_conversions);
- if (!rc)
- rc = chrec_convert (rtype, right, NULL);
-
- *fold_conversions = true;
-
- return build_polynomial_chrec (CHREC_VARIABLE (chrec), lc, rc);
-}
-
-/* Returns true when CHREC0 == CHREC1. */
-
-bool
-eq_evolutions_p (const_tree chrec0, const_tree chrec1)
-{
- if (chrec0 == NULL_TREE
- || chrec1 == NULL_TREE
- || TREE_CODE (chrec0) != TREE_CODE (chrec1))
- return false;
-
- if (chrec0 == chrec1)
- return true;
-
- if (! types_compatible_p (TREE_TYPE (chrec0), TREE_TYPE (chrec1)))
- return false;
-
- switch (TREE_CODE (chrec0))
- {
- case POLYNOMIAL_CHREC:
- return (CHREC_VARIABLE (chrec0) == CHREC_VARIABLE (chrec1)
- && eq_evolutions_p (CHREC_LEFT (chrec0), CHREC_LEFT (chrec1))
- && eq_evolutions_p (CHREC_RIGHT (chrec0), CHREC_RIGHT (chrec1)));
-
- case PLUS_EXPR:
- case MULT_EXPR:
- case MINUS_EXPR:
- case POINTER_PLUS_EXPR:
- return eq_evolutions_p (TREE_OPERAND (chrec0, 0),
- TREE_OPERAND (chrec1, 0))
- && eq_evolutions_p (TREE_OPERAND (chrec0, 1),
- TREE_OPERAND (chrec1, 1));
-
- CASE_CONVERT:
- return eq_evolutions_p (TREE_OPERAND (chrec0, 0),
- TREE_OPERAND (chrec1, 0));
-
- default:
- return operand_equal_p (chrec0, chrec1, 0);
- }
-}
-
-/* Returns EV_GROWS if CHREC grows (assuming that it does not overflow),
- EV_DECREASES if it decreases, and EV_UNKNOWN if we cannot determine
- which of these cases happens. */
-
-enum ev_direction
-scev_direction (const_tree chrec)
-{
- const_tree step;
-
- if (!evolution_function_is_affine_p (chrec))
- return EV_DIR_UNKNOWN;
-
- step = CHREC_RIGHT (chrec);
- if (TREE_CODE (step) != INTEGER_CST)
- return EV_DIR_UNKNOWN;
-
- if (tree_int_cst_sign_bit (step))
- return EV_DIR_DECREASES;
- else
- return EV_DIR_GROWS;
-}
-
-/* Iterates over all the components of SCEV, and calls CBCK. */
-
-void
-for_each_scev_op (tree *scev, bool (*cbck) (tree *, void *), void *data)
-{
- switch (TREE_CODE_LENGTH (TREE_CODE (*scev)))
- {
- case 3:
- for_each_scev_op (&TREE_OPERAND (*scev, 2), cbck, data);
- /* FALLTHRU */
-
- case 2:
- for_each_scev_op (&TREE_OPERAND (*scev, 1), cbck, data);
- /* FALLTHRU */
-
- case 1:
- for_each_scev_op (&TREE_OPERAND (*scev, 0), cbck, data);
- /* FALLTHRU */
-
- default:
- cbck (scev, data);
- break;
- }
-}
-
-/* Returns true when the operation can be part of a linear
- expression. */
-
-static inline bool
-operator_is_linear (tree scev)
-{
- switch (TREE_CODE (scev))
- {
- case INTEGER_CST:
- case POLYNOMIAL_CHREC:
- case PLUS_EXPR:
- case POINTER_PLUS_EXPR:
- case MULT_EXPR:
- case MINUS_EXPR:
- case NEGATE_EXPR:
- case SSA_NAME:
- case NON_LVALUE_EXPR:
- case BIT_NOT_EXPR:
- CASE_CONVERT:
- return true;
-
- default:
- return false;
- }
-}
-
-/* Return true when SCEV is a linear expression. Linear expressions
- can contain additions, substractions and multiplications.
- Multiplications are restricted to constant scaling: "cst * x". */
-
-bool
-scev_is_linear_expression (tree scev)
-{
- if (evolution_function_is_constant_p (scev))
- return true;
-
- if (scev == NULL
- || !operator_is_linear (scev))
- return false;
-
- if (TREE_CODE (scev) == MULT_EXPR)
- return !(tree_contains_chrecs (TREE_OPERAND (scev, 0), NULL)
- && tree_contains_chrecs (TREE_OPERAND (scev, 1), NULL));
-
- if (TREE_CODE (scev) == POLYNOMIAL_CHREC
- && !evolution_function_is_affine_multivariate_p (scev, CHREC_VARIABLE (scev)))
- return false;
-
- switch (TREE_CODE_LENGTH (TREE_CODE (scev)))
- {
- case 3:
- return scev_is_linear_expression (TREE_OPERAND (scev, 0))
- && scev_is_linear_expression (TREE_OPERAND (scev, 1))
- && scev_is_linear_expression (TREE_OPERAND (scev, 2));
-
- case 2:
- return scev_is_linear_expression (TREE_OPERAND (scev, 0))
- && scev_is_linear_expression (TREE_OPERAND (scev, 1));
-
- case 1:
- return scev_is_linear_expression (TREE_OPERAND (scev, 0));
-
- case 0:
- return true;
-
- default:
- return false;
- }
-}
-
-/* Determines whether the expression CHREC contains only interger consts
- in the right parts. */
-
-bool
-evolution_function_right_is_integer_cst (const_tree chrec)
-{
- if (chrec == NULL_TREE)
- return false;
-
- switch (TREE_CODE (chrec))
- {
- case INTEGER_CST:
- return true;
-
- case POLYNOMIAL_CHREC:
- return TREE_CODE (CHREC_RIGHT (chrec)) == INTEGER_CST
- && (TREE_CODE (CHREC_LEFT (chrec)) != POLYNOMIAL_CHREC
- || evolution_function_right_is_integer_cst (CHREC_LEFT (chrec)));
-
- CASE_CONVERT:
- return evolution_function_right_is_integer_cst (TREE_OPERAND (chrec, 0));
-
- default:
- return false;
- }
-}