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author | Ian Lance Taylor <iant@golang.org> | 2022-02-11 15:02:44 -0800 |
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committer | Ian Lance Taylor <iant@golang.org> | 2022-02-11 15:02:44 -0800 |
commit | 9a510fb0970d3d9a4201bce8965cabe67850386b (patch) | |
tree | 43d7fd2bbfd7ad8c9625a718a5e8718889351994 /gcc/tree-chrec.c | |
parent | a6d3012b274f38b20e2a57162106f625746af6c6 (diff) | |
parent | 8dc2499aa62f768c6395c9754b8cabc1ce25c494 (diff) | |
download | gcc-9a510fb0970d3d9a4201bce8965cabe67850386b.zip gcc-9a510fb0970d3d9a4201bce8965cabe67850386b.tar.gz gcc-9a510fb0970d3d9a4201bce8965cabe67850386b.tar.bz2 |
Merge from trunk revision 8dc2499aa62f768c6395c9754b8cabc1ce25c494
Diffstat (limited to 'gcc/tree-chrec.c')
-rw-r--r-- | gcc/tree-chrec.c | 1772 |
1 files changed, 0 insertions, 1772 deletions
diff --git a/gcc/tree-chrec.c b/gcc/tree-chrec.c deleted file mode 100644 index eeb67de..0000000 --- a/gcc/tree-chrec.c +++ /dev/null @@ -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; - } -} |