/* Chains of recurrences.
- Copyright (C) 2003, 2004, 2005 Free Software Foundation, Inc.
- Contributed by Sebastian Pop <s.pop@laposte.net>
+ Copyright (C) 2003, 2004, 2005, 2006 Free Software Foundation, Inc.
+ Contributed by Sebastian Pop <pop@cri.ensmp.fr>
This file is part of GCC.
#include "tree.h"
#include "real.h"
#include "diagnostic.h"
-#include "varray.h"
#include "cfgloop.h"
#include "tree-flow.h"
#include "tree-chrec.h"
#include "tree-pass.h"
#include "params.h"
+#include "tree-scalar-evolution.h"
\f
gcc_assert (cst);
gcc_assert (TREE_CODE (poly) == POLYNOMIAL_CHREC);
gcc_assert (!is_not_constant_evolution (cst));
-
+ gcc_assert (type == chrec_type (poly));
+
switch (code)
{
case PLUS_EXPR:
gcc_assert (poly1);
gcc_assert (TREE_CODE (poly0) == POLYNOMIAL_CHREC);
gcc_assert (TREE_CODE (poly1) == POLYNOMIAL_CHREC);
+ gcc_assert (chrec_type (poly0) == chrec_type (poly1));
+ gcc_assert (type == chrec_type (poly0));
/*
{a, +, b}_1 + {c, +, d}_2 -> {{a, +, b}_1 + c, +, d}_2,
gcc_assert (poly1);
gcc_assert (TREE_CODE (poly0) == POLYNOMIAL_CHREC);
gcc_assert (TREE_CODE (poly1) == POLYNOMIAL_CHREC);
+ gcc_assert (chrec_type (poly0) == chrec_type (poly1));
+ gcc_assert (type == chrec_type (poly0));
/* {a, +, b}_1 * {c, +, d}_2 -> {c*{a, +, b}_1, +, d}_2,
{a, +, b}_2 * {c, +, d}_1 -> {a*{c, +, d}_1, +, b}_2,
t2 = chrec_fold_multiply (type, CHREC_RIGHT (poly0), CHREC_RIGHT (poly1));
t2 = chrec_fold_multiply (type, SCALAR_FLOAT_TYPE_P (type)
? build_real (type, dconst2)
- : build_int_cst_type (type, 2), t2);
+ : build_int_cst (type, 2), t2);
var = CHREC_VARIABLE (poly0);
return build_polynomial_chrec (var, t0,
/* Fold the addition of two chrecs. */
static tree
-chrec_fold_plus_1 (enum tree_code code,
- tree type,
- tree op0,
- tree op1)
+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))
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 (op0))
return op1;
if (integer_zerop (op1))
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;
if (integer_onep (op1))
return op0;
if (integer_zerop (op1))
- return build_int_cst_type (type, 0);
+ return build_int_cst (type, 0);
return build_polynomial_chrec
(CHREC_VARIABLE (op0),
return op1;
if (integer_zerop (op0))
- return build_int_cst_type (type, 0);
+ return build_int_cst (type, 0);
switch (TREE_CODE (op1))
{
if (integer_onep (op1))
return op0;
if (integer_zerop (op1))
- return build_int_cst_type (type, 0);
+ return build_int_cst (type, 0);
return fold_build2 (MULT_EXPR, type, op0, op1);
}
}
/* 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)
- || chrec_contains_symbols (x))
+ || chrec_contains_symbols_defined_in_loop (chrec, var))
return chrec_dont_know;
-
+
if (dump_file && (dump_flags & TDF_DETAILS))
fprintf (dump_file, "(chrec_apply \n");
if (evolution_function_is_affine_p (chrec))
{
/* "{a, +, b} (x)" -> "a + b*x". */
- if (TREE_CODE (CHREC_LEFT (chrec)) == INTEGER_CST
- && integer_zerop (CHREC_LEFT (chrec)))
- res = chrec_fold_multiply (type, CHREC_RIGHT (chrec), x);
-
- else
- res = chrec_fold_plus (type, CHREC_LEFT (chrec),
- chrec_fold_multiply (type,
- CHREC_RIGHT (chrec), x));
+ x = chrec_convert (type, x, NULL_TREE);
+ res = chrec_fold_multiply (type, CHREC_RIGHT (chrec), x);
+ if (!integer_zerop (CHREC_LEFT (chrec)))
+ res = chrec_fold_plus (type, CHREC_LEFT (chrec), res);
}
else if (TREE_CODE (chrec) != POLYNOMIAL_CHREC)
&& tree_int_cst_sgn (x) == 1)
/* testsuite/.../ssa-chrec-38.c. */
res = chrec_evaluate (var, chrec, x, 0);
-
else
res = chrec_dont_know;
{
if (automatically_generated_chrec_p (chrec))
return chrec;
-
+
+ gcc_assert (chrec_type (chrec) == chrec_type (init_cond));
+
switch (TREE_CODE (chrec))
{
case POLYNOMIAL_CHREC:
tree chrec,
tree new_evol)
{
+ gcc_assert (chrec_type (chrec) == chrec_type (new_evol));
+
if (TREE_CODE (chrec) == POLYNOMIAL_CHREC
&& CHREC_VARIABLE (chrec) > loop_num)
{
if (chrec2 == chrec_not_analyzed_yet)
return chrec1;
- if (operand_equal_p (chrec1, chrec2, 0))
+ if (eq_evolutions_p (chrec1, chrec2))
return chrec1;
return chrec_dont_know;
chrec))
return true;
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC
- && CHREC_VARIABLE (chrec) == (unsigned) loopnum)
- return false;
+ if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
+ {
+ if (CHREC_VARIABLE (chrec) == (unsigned) loopnum
+ || !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_CODE_LENGTH (TREE_CODE (chrec)))
{
}
}
+/* Returns true if TYPE is a type in that we cannot directly perform
+ arithmetics, even though it is a scalar type. */
+
+static bool
+avoid_arithmetics_in_type_p (tree type)
+{
+ /* Ada frontend uses subtypes -- an arithmetic cannot be directly performed
+ in the subtype, but a base type must be used, and the result then can
+ be casted to the subtype. */
+ if (TREE_CODE (type) == INTEGER_TYPE && TREE_TYPE (type) != NULL_TREE)
+ return true;
+
+ return false;
+}
+
+static tree chrec_convert_1 (tree, tree, tree, bool);
+
+/* 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. Returns true if the
+ conversion succeeded, false otherwise. */
+
+bool
+convert_affine_scev (struct loop *loop, tree type,
+ tree *base, tree *step, tree at_stmt,
+ bool use_overflow_semantics)
+{
+ tree ct = TREE_TYPE (*step);
+ bool enforce_overflow_semantics;
+ bool must_check_src_overflow, must_check_rslt_overflow;
+ tree new_base, new_step;
+
+ /* If we cannot perform arithmetic in TYPE, avoid creating an scev. */
+ if (avoid_arithmetics_in_type_p (type))
+ return false;
+
+ /* 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 (*base, *step, at_stmt, loop,
+ use_overflow_semantics))
+ return false;
+
+ new_base = chrec_convert_1 (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 (type) > TYPE_PRECISION (ct) && TYPE_UNSIGNED (ct))
+ new_step = chrec_convert_1 (signed_type_for (ct), new_step, at_stmt,
+ use_overflow_semantics);
+ new_step = chrec_convert_1 (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 (new_base, new_step, at_stmt, loop, false))
+ return false;
+
+ *base = new_base;
+ *step = new_step;
+ return true;
+}
\f
/* Convert CHREC to TYPE. When the analyzer knows the context in
tree
chrec_convert (tree type, tree chrec, tree at_stmt)
{
+ return chrec_convert_1 (type, chrec, at_stmt, true);
+}
+
+/* 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. */
+
+static tree
+chrec_convert_1 (tree type, tree chrec, tree at_stmt,
+ bool use_overflow_semantics)
+{
tree ct, res;
+ tree base, step;
+ struct loop *loop;
if (automatically_generated_chrec_p (chrec))
return chrec;
if (ct == type)
return chrec;
- if (evolution_function_is_affine_p (chrec))
- {
- tree step;
- bool dummy;
-
- /* Avoid conversion of (signed char) {(uchar)1, +, (uchar)1}_x
- when it is not possible to prove that the scev does not wrap.
- See PR22236, where a sequence 1, 2, ..., 255 has to be
- converted to signed char, but this would wrap:
- 1, 2, ..., 127, -128, ... The result should not be
- {(schar)1, +, (schar)1}_x, but instead, we should keep the
- conversion: (schar) {(uchar)1, +, (uchar)1}_x. */
- if (scev_probably_wraps_p (type, CHREC_LEFT (chrec), CHREC_RIGHT (chrec),
- at_stmt,
- current_loops->parray[CHREC_VARIABLE (chrec)],
- &dummy, &dummy))
- return fold_convert (type, chrec);
-
- step = convert_step (current_loops->parray[CHREC_VARIABLE (chrec)], type,
- CHREC_LEFT (chrec), CHREC_RIGHT (chrec), at_stmt);
- if (!step)
- return fold_convert (type, chrec);
-
- return build_polynomial_chrec (CHREC_VARIABLE (chrec),
- chrec_convert (type, CHREC_LEFT (chrec),
- at_stmt),
- step);
- }
+ if (!evolution_function_is_affine_p (chrec))
+ goto keep_cast;
- if (TREE_CODE (chrec) == POLYNOMIAL_CHREC)
- return chrec_dont_know;
+ loop = current_loops->parray[CHREC_VARIABLE (chrec)];
+ base = CHREC_LEFT (chrec);
+ step = CHREC_RIGHT (chrec);
+
+ if (convert_affine_scev (loop, type, &base, &step, at_stmt,
+ use_overflow_semantics))
+ return build_polynomial_chrec (loop->num, base, step);
+ /* If we cannot propagate the cast inside the chrec, just keep the cast. */
+keep_cast:
res = fold_convert (type, chrec);
/* Don't propagate overflows. */
return res;
}
-/* Returns the type of the chrec. */
+/* 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. */
-tree
-chrec_type (tree chrec)
+tree
+chrec_convert_aggressive (tree type, tree chrec)
{
- if (automatically_generated_chrec_p (chrec))
+ tree inner_type, left, right, lc, rc;
+
+ if (automatically_generated_chrec_p (chrec)
+ || TREE_CODE (chrec) != POLYNOMIAL_CHREC)
return NULL_TREE;
-
- return TREE_TYPE (chrec);
+
+ inner_type = TREE_TYPE (chrec);
+ if (TYPE_PRECISION (type) > TYPE_PRECISION (inner_type))
+ return NULL_TREE;
+
+ /* If we cannot perform arithmetic in TYPE, avoid creating an scev. */
+ if (avoid_arithmetics_in_type_p (type))
+ return NULL_TREE;
+
+ left = CHREC_LEFT (chrec);
+ right = CHREC_RIGHT (chrec);
+ lc = chrec_convert_aggressive (type, left);
+ if (!lc)
+ lc = chrec_convert (type, left, NULL_TREE);
+ rc = chrec_convert_aggressive (type, right);
+ if (!rc)
+ rc = chrec_convert (type, right, NULL_TREE);
+
+ return build_polynomial_chrec (CHREC_VARIABLE (chrec), lc, rc);
+}
+
+/* Returns true when CHREC0 == CHREC1. */
+
+bool
+eq_evolutions_p (tree chrec0,
+ tree chrec1)
+{
+ if (chrec0 == NULL_TREE
+ || chrec1 == NULL_TREE
+ || TREE_CODE (chrec0) != TREE_CODE (chrec1))
+ return false;
+
+ if (chrec0 == chrec1)
+ return true;
+
+ switch (TREE_CODE (chrec0))
+ {
+ case INTEGER_CST:
+ return operand_equal_p (chrec0, chrec1, 0);
+
+ 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)));
+ default:
+ return false;
+ }
+}
+
+/* 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 (tree chrec)
+{
+ 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;
}
OSDN Git Service
