1 /* Match-and-simplify patterns for shared GENERIC and GIMPLE folding.
2 This file is consumed by genmatch which produces gimple-match.c
3 and generic-match.c from it.
5 Copyright (C) 2014-2016 Free Software Foundation, Inc.
6 Contributed by Richard Biener <rguenther@suse.de>
7 and Prathamesh Kulkarni <bilbotheelffriend@gmail.com>
9 This file is part of GCC.
11 GCC is free software; you can redistribute it and/or modify it under
12 the terms of the GNU General Public License as published by the Free
13 Software Foundation; either version 3, or (at your option) any later
16 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
17 WARRANTY; without even the implied warranty of MERCHANTABILITY or
18 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
21 You should have received a copy of the GNU General Public License
22 along with GCC; see the file COPYING3. If not see
23 <http://www.gnu.org/licenses/>. */
26 /* Generic tree predicates we inherit. */
28 integer_onep integer_zerop integer_all_onesp integer_minus_onep
29 integer_each_onep integer_truep integer_nonzerop
30 real_zerop real_onep real_minus_onep
33 tree_expr_nonnegative_p
39 (define_operator_list tcc_comparison
40 lt le eq ne ge gt unordered ordered unlt unle ungt unge uneq ltgt)
41 (define_operator_list inverted_tcc_comparison
42 ge gt ne eq lt le ordered unordered ge gt le lt ltgt uneq)
43 (define_operator_list inverted_tcc_comparison_with_nans
44 unge ungt ne eq unlt unle ordered unordered ge gt le lt ltgt uneq)
45 (define_operator_list swapped_tcc_comparison
46 gt ge eq ne le lt unordered ordered ungt unge unlt unle uneq ltgt)
47 (define_operator_list simple_comparison lt le eq ne ge gt)
48 (define_operator_list swapped_simple_comparison gt ge eq ne le lt)
50 #include "cfn-operators.pd"
52 /* Define operand lists for math rounding functions {,i,l,ll}FN,
53 where the versions prefixed with "i" return an int, those prefixed with
54 "l" return a long and those prefixed with "ll" return a long long.
56 Also define operand lists:
58 X<FN>F for all float functions, in the order i, l, ll
59 X<FN> for all double functions, in the same order
60 X<FN>L for all long double functions, in the same order. */
61 #define DEFINE_INT_AND_FLOAT_ROUND_FN(FN) \
62 (define_operator_list X##FN##F BUILT_IN_I##FN##F \
65 (define_operator_list X##FN BUILT_IN_I##FN \
68 (define_operator_list X##FN##L BUILT_IN_I##FN##L \
72 DEFINE_INT_AND_FLOAT_ROUND_FN (FLOOR)
73 DEFINE_INT_AND_FLOAT_ROUND_FN (CEIL)
74 DEFINE_INT_AND_FLOAT_ROUND_FN (ROUND)
75 DEFINE_INT_AND_FLOAT_ROUND_FN (RINT)
77 /* Simplifications of operations with one constant operand and
78 simplifications to constants or single values. */
80 (for op (plus pointer_plus minus bit_ior bit_xor)
85 /* 0 +p index -> (type)index */
87 (pointer_plus integer_zerop @1)
88 (non_lvalue (convert @1)))
90 /* See if ARG1 is zero and X + ARG1 reduces to X.
91 Likewise if the operands are reversed. */
93 (plus:c @0 real_zerop@1)
94 (if (fold_real_zero_addition_p (type, @1, 0))
97 /* See if ARG1 is zero and X - ARG1 reduces to X. */
99 (minus @0 real_zerop@1)
100 (if (fold_real_zero_addition_p (type, @1, 1))
104 This is unsafe for certain floats even in non-IEEE formats.
105 In IEEE, it is unsafe because it does wrong for NaNs.
106 Also note that operand_equal_p is always false if an operand
110 (if (!FLOAT_TYPE_P (type) || !HONOR_NANS (type))
111 { build_zero_cst (type); }))
114 (mult @0 integer_zerop@1)
117 /* Maybe fold x * 0 to 0. The expressions aren't the same
118 when x is NaN, since x * 0 is also NaN. Nor are they the
119 same in modes with signed zeros, since multiplying a
120 negative value by 0 gives -0, not +0. */
122 (mult @0 real_zerop@1)
123 (if (!HONOR_NANS (type) && !HONOR_SIGNED_ZEROS (type))
126 /* In IEEE floating point, x*1 is not equivalent to x for snans.
127 Likewise for complex arithmetic with signed zeros. */
130 (if (!HONOR_SNANS (type)
131 && (!HONOR_SIGNED_ZEROS (type)
132 || !COMPLEX_FLOAT_TYPE_P (type)))
135 /* Transform x * -1.0 into -x. */
137 (mult @0 real_minus_onep)
138 (if (!HONOR_SNANS (type)
139 && (!HONOR_SIGNED_ZEROS (type)
140 || !COMPLEX_FLOAT_TYPE_P (type)))
143 /* Make sure to preserve divisions by zero. This is the reason why
144 we don't simplify x / x to 1 or 0 / x to 0. */
145 (for op (mult trunc_div ceil_div floor_div round_div exact_div)
151 (for div (trunc_div ceil_div floor_div round_div exact_div)
153 (div @0 integer_minus_onep@1)
154 (if (!TYPE_UNSIGNED (type))
157 /* For unsigned integral types, FLOOR_DIV_EXPR is the same as
158 TRUNC_DIV_EXPR. Rewrite into the latter in this case. */
161 (if ((INTEGRAL_TYPE_P (type) || VECTOR_INTEGER_TYPE_P (type))
162 && TYPE_UNSIGNED (type))
165 /* Combine two successive divisions. Note that combining ceil_div
166 and floor_div is trickier and combining round_div even more so. */
167 (for div (trunc_div exact_div)
169 (div (div @0 INTEGER_CST@1) INTEGER_CST@2)
172 wide_int mul = wi::mul (@1, @2, TYPE_SIGN (type), &overflow_p);
175 (div @0 { wide_int_to_tree (type, mul); })
176 (if (TYPE_UNSIGNED (type)
177 || mul != wi::min_value (TYPE_PRECISION (type), SIGNED))
178 { build_zero_cst (type); })))))
180 /* Optimize A / A to 1.0 if we don't care about
181 NaNs or Infinities. */
184 (if (FLOAT_TYPE_P (type)
185 && ! HONOR_NANS (type)
186 && ! HONOR_INFINITIES (type))
187 { build_one_cst (type); }))
189 /* Optimize -A / A to -1.0 if we don't care about
190 NaNs or Infinities. */
192 (rdiv:c @0 (negate @0))
193 (if (FLOAT_TYPE_P (type)
194 && ! HONOR_NANS (type)
195 && ! HONOR_INFINITIES (type))
196 { build_minus_one_cst (type); }))
198 /* In IEEE floating point, x/1 is not equivalent to x for snans. */
201 (if (!HONOR_SNANS (type))
204 /* In IEEE floating point, x/-1 is not equivalent to -x for snans. */
206 (rdiv @0 real_minus_onep)
207 (if (!HONOR_SNANS (type))
210 (if (flag_reciprocal_math)
211 /* Convert (A/B)/C to A/(B*C) */
213 (rdiv (rdiv:s @0 @1) @2)
214 (rdiv @0 (mult @1 @2)))
216 /* Convert A/(B/C) to (A/B)*C */
218 (rdiv @0 (rdiv:s @1 @2))
219 (mult (rdiv @0 @1) @2)))
221 /* Optimize (X & (-A)) / A where A is a power of 2, to X >> log2(A) */
222 (for div (trunc_div ceil_div floor_div round_div exact_div)
224 (div (convert? (bit_and @0 INTEGER_CST@1)) INTEGER_CST@2)
225 (if (integer_pow2p (@2)
226 && tree_int_cst_sgn (@2) > 0
227 && wi::add (@2, @1) == 0
228 && tree_nop_conversion_p (type, TREE_TYPE (@0)))
229 (rshift (convert @0) { build_int_cst (integer_type_node,
230 wi::exact_log2 (@2)); }))))
232 /* If ARG1 is a constant, we can convert this to a multiply by the
233 reciprocal. This does not have the same rounding properties,
234 so only do this if -freciprocal-math. We can actually
235 always safely do it if ARG1 is a power of two, but it's hard to
236 tell if it is or not in a portable manner. */
237 (for cst (REAL_CST COMPLEX_CST VECTOR_CST)
241 (if (flag_reciprocal_math
244 { tree tem = const_binop (RDIV_EXPR, type, build_one_cst (type), @1); }
246 (mult @0 { tem; } )))
247 (if (cst != COMPLEX_CST)
248 (with { tree inverse = exact_inverse (type, @1); }
250 (mult @0 { inverse; } ))))))))
252 /* Same applies to modulo operations, but fold is inconsistent here
253 and simplifies 0 % x to 0, only preserving literal 0 % 0. */
254 (for mod (ceil_mod floor_mod round_mod trunc_mod)
255 /* 0 % X is always zero. */
257 (mod integer_zerop@0 @1)
258 /* But not for 0 % 0 so that we can get the proper warnings and errors. */
259 (if (!integer_zerop (@1))
261 /* X % 1 is always zero. */
263 (mod @0 integer_onep)
264 { build_zero_cst (type); })
265 /* X % -1 is zero. */
267 (mod @0 integer_minus_onep@1)
268 (if (!TYPE_UNSIGNED (type))
269 { build_zero_cst (type); }))
270 /* (X % Y) % Y is just X % Y. */
272 (mod (mod@2 @0 @1) @1)
274 /* From extract_muldiv_1: (X * C1) % C2 is zero if C1 is a multiple of C2. */
276 (mod (mult @0 INTEGER_CST@1) INTEGER_CST@2)
277 (if (ANY_INTEGRAL_TYPE_P (type)
278 && TYPE_OVERFLOW_UNDEFINED (type)
279 && wi::multiple_of_p (@1, @2, TYPE_SIGN (type)))
280 { build_zero_cst (type); })))
282 /* X % -C is the same as X % C. */
284 (trunc_mod @0 INTEGER_CST@1)
285 (if (TYPE_SIGN (type) == SIGNED
286 && !TREE_OVERFLOW (@1)
288 && !TYPE_OVERFLOW_TRAPS (type)
289 /* Avoid this transformation if C is INT_MIN, i.e. C == -C. */
290 && !sign_bit_p (@1, @1))
291 (trunc_mod @0 (negate @1))))
293 /* X % -Y is the same as X % Y. */
295 (trunc_mod @0 (convert? (negate @1)))
296 (if (!TYPE_UNSIGNED (type)
297 && !TYPE_OVERFLOW_TRAPS (type)
298 && tree_nop_conversion_p (type, TREE_TYPE (@1))
299 /* Avoid this transformation if X might be INT_MIN or
300 Y might be -1, because we would then change valid
301 INT_MIN % -(-1) into invalid INT_MIN % -1. */
302 && (expr_not_equal_to (@0, TYPE_MIN_VALUE (type))
303 || expr_not_equal_to (@1, wi::minus_one (TYPE_PRECISION
305 (trunc_mod @0 (convert @1))))
307 /* X - (X / Y) * Y is the same as X % Y. */
309 (minus (convert1? @2) (convert2? (mult:c (trunc_div @0 @1) @1)))
310 /* We cannot use matching captures here, since in the case of
311 constants we really want the type of @0, not @2. */
312 (if (operand_equal_p (@0, @2, 0)
313 && (INTEGRAL_TYPE_P (type) || VECTOR_INTEGER_TYPE_P (type)))
314 (convert (trunc_mod @0 @1))))
316 /* Optimize TRUNC_MOD_EXPR by a power of two into a BIT_AND_EXPR,
317 i.e. "X % C" into "X & (C - 1)", if X and C are positive.
318 Also optimize A % (C << N) where C is a power of 2,
319 to A & ((C << N) - 1). */
320 (match (power_of_two_cand @1)
322 (match (power_of_two_cand @1)
323 (lshift INTEGER_CST@1 @2))
324 (for mod (trunc_mod floor_mod)
326 (mod @0 (convert?@3 (power_of_two_cand@1 @2)))
327 (if ((TYPE_UNSIGNED (type)
328 || tree_expr_nonnegative_p (@0))
329 && tree_nop_conversion_p (type, TREE_TYPE (@3))
330 && integer_pow2p (@2) && tree_int_cst_sgn (@2) > 0)
331 (bit_and @0 (convert (minus @1 { build_int_cst (TREE_TYPE (@1), 1); }))))))
333 /* Simplify (unsigned t * 2)/2 -> unsigned t & 0x7FFFFFFF. */
335 (trunc_div (mult @0 integer_pow2p@1) @1)
336 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
337 (bit_and @0 { wide_int_to_tree
338 (type, wi::mask (TYPE_PRECISION (type) - wi::exact_log2 (@1),
339 false, TYPE_PRECISION (type))); })))
341 /* Simplify (unsigned t / 2) * 2 -> unsigned t & ~1. */
343 (mult (trunc_div @0 integer_pow2p@1) @1)
344 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
345 (bit_and @0 (negate @1))))
347 /* Simplify (t * 2) / 2) -> t. */
348 (for div (trunc_div ceil_div floor_div round_div exact_div)
350 (div (mult @0 @1) @1)
351 (if (ANY_INTEGRAL_TYPE_P (type)
352 && TYPE_OVERFLOW_UNDEFINED (type))
356 /* Simplify cos(-x) and cos(|x|) -> cos(x). Similarly for cosh. */
361 /* Simplify pow(-x, y) and pow(|x|,y) -> pow(x,y) if y is an even integer. */
364 (pows (op @0) REAL_CST@1)
365 (with { HOST_WIDE_INT n; }
366 (if (real_isinteger (&TREE_REAL_CST (@1), &n) && (n & 1) == 0)
368 /* Strip negate and abs from both operands of hypot. */
376 /* copysign(-x, y) and copysign(abs(x), y) -> copysign(x, y). */
377 (for copysigns (COPYSIGN)
379 (copysigns (op @0) @1)
382 /* abs(x)*abs(x) -> x*x. Should be valid for all types. */
387 /* cos(copysign(x, y)) -> cos(x). Similarly for cosh. */
391 (coss (copysigns @0 @1))
394 /* pow(copysign(x, y), z) -> pow(x, z) if z is an even integer. */
398 (pows (copysigns @0 @1) REAL_CST@1)
399 (with { HOST_WIDE_INT n; }
400 (if (real_isinteger (&TREE_REAL_CST (@1), &n) && (n & 1) == 0)
405 /* hypot(copysign(x, y), z) -> hypot(x, z). */
407 (hypots (copysigns @0 @1) @2)
409 /* hypot(x, copysign(y, z)) -> hypot(x, y). */
411 (hypots @0 (copysigns @1 @2))
414 /* copysign(copysign(x, y), z) -> copysign(x, z). */
415 (for copysigns (COPYSIGN)
417 (copysigns (copysigns @0 @1) @2)
420 /* copysign(x,y)*copysign(x,y) -> x*x. */
421 (for copysigns (COPYSIGN)
423 (mult (copysigns@2 @0 @1) @2)
426 /* ccos(-x) -> ccos(x). Similarly for ccosh. */
427 (for ccoss (CCOS CCOSH)
432 /* cabs(-x) and cos(conj(x)) -> cabs(x). */
433 (for ops (conj negate)
439 /* Fold (a * (1 << b)) into (a << b) */
441 (mult:c @0 (convert? (lshift integer_onep@1 @2)))
442 (if (! FLOAT_TYPE_P (type)
443 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
446 /* Fold (C1/X)*C2 into (C1*C2)/X. */
448 (mult (rdiv@3 REAL_CST@0 @1) REAL_CST@2)
449 (if (flag_associative_math
452 { tree tem = const_binop (MULT_EXPR, type, @0, @2); }
454 (rdiv { tem; } @1)))))
456 /* Convert C1/(X*C2) into (C1/C2)/X */
458 (rdiv REAL_CST@0 (mult @1 REAL_CST@2))
459 (if (flag_reciprocal_math)
461 { tree tem = const_binop (RDIV_EXPR, type, @0, @2); }
463 (rdiv { tem; } @1)))))
465 /* Simplify ~X & X as zero. */
467 (bit_and:c (convert? @0) (convert? (bit_not @0)))
468 { build_zero_cst (type); })
470 /* Fold (A & ~B) - (A & B) into (A ^ B) - B. */
472 (minus (bit_and:cs @0 (bit_not @1)) (bit_and:cs @0 @1))
473 (minus (bit_xor @0 @1) @1))
475 (minus (bit_and:s @0 INTEGER_CST@2) (bit_and:s @0 INTEGER_CST@1))
476 (if (wi::bit_not (@2) == @1)
477 (minus (bit_xor @0 @1) @1)))
479 /* Fold (A & B) - (A & ~B) into B - (A ^ B). */
481 (minus (bit_and:s @0 @1) (bit_and:cs @0 (bit_not @1)))
482 (minus @1 (bit_xor @0 @1)))
484 /* Simplify (X & ~Y) | (~X & Y) -> X ^ Y. */
486 (bit_ior (bit_and:c @0 (bit_not @1)) (bit_and:c (bit_not @0) @1))
489 (bit_ior:c (bit_and @0 INTEGER_CST@2) (bit_and (bit_not @0) INTEGER_CST@1))
490 (if (wi::bit_not (@2) == @1)
493 /* X % Y is smaller than Y. */
496 (cmp (trunc_mod @0 @1) @1)
497 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
498 { constant_boolean_node (cmp == LT_EXPR, type); })))
501 (cmp @1 (trunc_mod @0 @1))
502 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
503 { constant_boolean_node (cmp == GT_EXPR, type); })))
507 (bit_ior @0 integer_all_onesp@1)
512 (bit_and @0 integer_zerop@1)
518 (for op (bit_ior bit_xor plus)
520 (op:c (convert? @0) (convert? (bit_not @0)))
521 (convert { build_all_ones_cst (TREE_TYPE (@0)); })))
526 { build_zero_cst (type); })
528 /* Canonicalize X ^ ~0 to ~X. */
530 (bit_xor @0 integer_all_onesp@1)
535 (bit_and @0 integer_all_onesp)
538 /* x & x -> x, x | x -> x */
539 (for bitop (bit_and bit_ior)
544 /* x + (x & 1) -> (x + 1) & ~1 */
546 (plus:c @0 (bit_and:s @0 integer_onep@1))
547 (bit_and (plus @0 @1) (bit_not @1)))
549 /* x & ~(x & y) -> x & ~y */
550 /* x | ~(x | y) -> x | ~y */
551 (for bitop (bit_and bit_ior)
553 (bitop:c @0 (bit_not (bitop:cs @0 @1)))
554 (bitop @0 (bit_not @1))))
556 /* (x | y) & ~x -> y & ~x */
557 /* (x & y) | ~x -> y | ~x */
558 (for bitop (bit_and bit_ior)
559 rbitop (bit_ior bit_and)
561 (bitop:c (rbitop:c @0 @1) (bit_not@2 @0))
564 /* (x & y) ^ (x | y) -> x ^ y */
566 (bit_xor:c (bit_and @0 @1) (bit_ior @0 @1))
569 /* (x ^ y) ^ (x | y) -> x & y */
571 (bit_xor:c (bit_xor @0 @1) (bit_ior @0 @1))
574 /* (x & y) + (x ^ y) -> x | y */
575 /* (x & y) | (x ^ y) -> x | y */
576 /* (x & y) ^ (x ^ y) -> x | y */
577 (for op (plus bit_ior bit_xor)
579 (op:c (bit_and @0 @1) (bit_xor @0 @1))
582 /* (x & y) + (x | y) -> x + y */
584 (plus:c (bit_and @0 @1) (bit_ior @0 @1))
587 /* (x + y) - (x | y) -> x & y */
589 (minus (plus @0 @1) (bit_ior @0 @1))
590 (if (!TYPE_OVERFLOW_SANITIZED (type) && !TYPE_OVERFLOW_TRAPS (type)
591 && !TYPE_SATURATING (type))
594 /* (x + y) - (x & y) -> x | y */
596 (minus (plus @0 @1) (bit_and @0 @1))
597 (if (!TYPE_OVERFLOW_SANITIZED (type) && !TYPE_OVERFLOW_TRAPS (type)
598 && !TYPE_SATURATING (type))
601 /* (x | y) - (x ^ y) -> x & y */
603 (minus (bit_ior @0 @1) (bit_xor @0 @1))
606 /* (x | y) - (x & y) -> x ^ y */
608 (minus (bit_ior @0 @1) (bit_and @0 @1))
611 /* (x | y) & ~(x & y) -> x ^ y */
613 (bit_and:c (bit_ior @0 @1) (bit_not (bit_and @0 @1)))
616 /* (x | y) & (~x ^ y) -> x & y */
618 (bit_and:c (bit_ior:c @0 @1) (bit_xor:c @1 (bit_not @0)))
621 /* ~x & ~y -> ~(x | y)
622 ~x | ~y -> ~(x & y) */
623 (for op (bit_and bit_ior)
624 rop (bit_ior bit_and)
626 (op (convert1? (bit_not @0)) (convert2? (bit_not @1)))
627 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
628 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
629 (bit_not (rop (convert @0) (convert @1))))))
631 /* If we are XORing or adding two BIT_AND_EXPR's, both of which are and'ing
632 with a constant, and the two constants have no bits in common,
633 we should treat this as a BIT_IOR_EXPR since this may produce more
635 (for op (bit_xor plus)
637 (op (convert1? (bit_and@4 @0 INTEGER_CST@1))
638 (convert2? (bit_and@5 @2 INTEGER_CST@3)))
639 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
640 && tree_nop_conversion_p (type, TREE_TYPE (@2))
641 && wi::bit_and (@1, @3) == 0)
642 (bit_ior (convert @4) (convert @5)))))
644 /* (X | Y) ^ X -> Y & ~ X*/
646 (bit_xor:c (convert? (bit_ior:c @0 @1)) (convert? @0))
647 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
648 (convert (bit_and @1 (bit_not @0)))))
650 /* Convert ~X ^ ~Y to X ^ Y. */
652 (bit_xor (convert1? (bit_not @0)) (convert2? (bit_not @1)))
653 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
654 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
655 (bit_xor (convert @0) (convert @1))))
657 /* Convert ~X ^ C to X ^ ~C. */
659 (bit_xor (convert? (bit_not @0)) INTEGER_CST@1)
660 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
661 (bit_xor (convert @0) (bit_not @1))))
663 /* Fold (X & Y) ^ Y as ~X & Y. */
665 (bit_xor:c (bit_and:c @0 @1) @1)
666 (bit_and (bit_not @0) @1))
668 /* Given a bit-wise operation CODE applied to ARG0 and ARG1, see if both
669 operands are another bit-wise operation with a common input. If so,
670 distribute the bit operations to save an operation and possibly two if
671 constants are involved. For example, convert
672 (A | B) & (A | C) into A | (B & C)
673 Further simplification will occur if B and C are constants. */
674 (for op (bit_and bit_ior)
675 rop (bit_ior bit_and)
677 (op (convert? (rop:c @0 @1)) (convert? (rop @0 @2)))
678 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
679 (rop (convert @0) (op (convert @1) (convert @2))))))
689 (abs tree_expr_nonnegative_p@0)
692 /* A few cases of fold-const.c negate_expr_p predicate. */
695 (if ((INTEGRAL_TYPE_P (type)
696 && TYPE_OVERFLOW_WRAPS (type))
697 || (!TYPE_OVERFLOW_SANITIZED (type)
698 && may_negate_without_overflow_p (t)))))
703 (if (!TYPE_OVERFLOW_SANITIZED (type))))
706 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (t)))))
707 /* VECTOR_CST handling of non-wrapping types would recurse in unsupported
711 (if (FLOAT_TYPE_P (TREE_TYPE (type)) || TYPE_OVERFLOW_WRAPS (type))))
713 /* (-A) * (-B) -> A * B */
715 (mult:c (convert1? (negate @0)) (convert2? negate_expr_p@1))
716 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
717 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
718 (mult (convert @0) (convert (negate @1)))))
720 /* -(A + B) -> (-B) - A. */
722 (negate (plus:c @0 negate_expr_p@1))
723 (if (!HONOR_SIGN_DEPENDENT_ROUNDING (element_mode (type))
724 && !HONOR_SIGNED_ZEROS (element_mode (type)))
725 (minus (negate @1) @0)))
727 /* A - B -> A + (-B) if B is easily negatable. */
729 (minus @0 negate_expr_p@1)
730 (if (!FIXED_POINT_TYPE_P (type))
731 (plus @0 (negate @1))))
733 /* Try to fold (type) X op CST -> (type) (X op ((type-x) CST))
735 For bitwise binary operations apply operand conversions to the
736 binary operation result instead of to the operands. This allows
737 to combine successive conversions and bitwise binary operations.
738 We combine the above two cases by using a conditional convert. */
739 (for bitop (bit_and bit_ior bit_xor)
741 (bitop (convert @0) (convert? @1))
742 (if (((TREE_CODE (@1) == INTEGER_CST
743 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
744 && int_fits_type_p (@1, TREE_TYPE (@0)))
745 || types_match (@0, @1))
746 /* ??? This transform conflicts with fold-const.c doing
747 Convert (T)(x & c) into (T)x & (T)c, if c is an integer
748 constants (if x has signed type, the sign bit cannot be set
749 in c). This folds extension into the BIT_AND_EXPR.
750 Restrict it to GIMPLE to avoid endless recursions. */
751 && (bitop != BIT_AND_EXPR || GIMPLE)
752 && (/* That's a good idea if the conversion widens the operand, thus
753 after hoisting the conversion the operation will be narrower. */
754 TYPE_PRECISION (TREE_TYPE (@0)) < TYPE_PRECISION (type)
755 /* It's also a good idea if the conversion is to a non-integer
757 || GET_MODE_CLASS (TYPE_MODE (type)) != MODE_INT
758 /* Or if the precision of TO is not the same as the precision
760 || TYPE_PRECISION (type) != GET_MODE_PRECISION (TYPE_MODE (type))))
761 (convert (bitop @0 (convert @1))))))
763 (for bitop (bit_and bit_ior)
764 rbitop (bit_ior bit_and)
765 /* (x | y) & x -> x */
766 /* (x & y) | x -> x */
768 (bitop:c (rbitop:c @0 @1) @0)
770 /* (~x | y) & x -> x & y */
771 /* (~x & y) | x -> x | y */
773 (bitop:c (rbitop:c (bit_not @0) @1) @0)
776 /* Simplify (A & B) OP0 (C & B) to (A OP0 C) & B. */
777 (for bitop (bit_and bit_ior bit_xor)
779 (bitop (bit_and:c @0 @1) (bit_and @2 @1))
780 (bit_and (bitop @0 @2) @1)))
782 /* (x | CST1) & CST2 -> (x & CST2) | (CST1 & CST2) */
784 (bit_and (bit_ior @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
785 (bit_ior (bit_and @0 @2) (bit_and @1 @2)))
787 /* Combine successive equal operations with constants. */
788 (for bitop (bit_and bit_ior bit_xor)
790 (bitop (bitop @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
791 (bitop @0 (bitop @1 @2))))
793 /* Try simple folding for X op !X, and X op X with the help
794 of the truth_valued_p and logical_inverted_value predicates. */
795 (match truth_valued_p
797 (if (INTEGRAL_TYPE_P (type) && TYPE_PRECISION (type) == 1)))
798 (for op (tcc_comparison truth_and truth_andif truth_or truth_orif truth_xor)
799 (match truth_valued_p
801 (match truth_valued_p
804 (match (logical_inverted_value @0)
806 (match (logical_inverted_value @0)
807 (bit_not truth_valued_p@0))
808 (match (logical_inverted_value @0)
809 (eq @0 integer_zerop))
810 (match (logical_inverted_value @0)
811 (ne truth_valued_p@0 integer_truep))
812 (match (logical_inverted_value @0)
813 (bit_xor truth_valued_p@0 integer_truep))
817 (bit_and:c @0 (logical_inverted_value @0))
818 { build_zero_cst (type); })
819 /* X | !X and X ^ !X -> 1, , if X is truth-valued. */
820 (for op (bit_ior bit_xor)
822 (op:c truth_valued_p@0 (logical_inverted_value @0))
823 { constant_boolean_node (true, type); }))
824 /* X ==/!= !X is false/true. */
827 (op:c truth_valued_p@0 (logical_inverted_value @0))
828 { constant_boolean_node (op == NE_EXPR ? true : false, type); }))
830 /* If arg1 and arg2 are booleans (or any single bit type)
831 then try to simplify:
838 But only do this if our result feeds into a comparison as
839 this transformation is not always a win, particularly on
840 targets with and-not instructions.
841 -> simplify_bitwise_binary_boolean */
843 (ne (bit_and:c (bit_not @0) @1) integer_zerop)
844 (if (INTEGRAL_TYPE_P (TREE_TYPE (@1))
845 && TYPE_PRECISION (TREE_TYPE (@1)) == 1)
848 (ne (bit_ior:c (bit_not @0) @1) integer_zerop)
849 (if (INTEGRAL_TYPE_P (TREE_TYPE (@1))
850 && TYPE_PRECISION (TREE_TYPE (@1)) == 1)
855 (bit_not (bit_not @0))
858 /* Convert ~ (-A) to A - 1. */
860 (bit_not (convert? (negate @0)))
861 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
862 (convert (minus @0 { build_each_one_cst (TREE_TYPE (@0)); }))))
864 /* Convert ~ (A - 1) or ~ (A + -1) to -A. */
866 (bit_not (convert? (minus @0 integer_each_onep)))
867 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
868 (convert (negate @0))))
870 (bit_not (convert? (plus @0 integer_all_onesp)))
871 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
872 (convert (negate @0))))
874 /* Part of convert ~(X ^ Y) to ~X ^ Y or X ^ ~Y if ~X or ~Y simplify. */
876 (bit_not (convert? (bit_xor @0 INTEGER_CST@1)))
877 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
878 (convert (bit_xor @0 (bit_not @1)))))
880 (bit_not (convert? (bit_xor:c (bit_not @0) @1)))
881 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
882 (convert (bit_xor @0 @1))))
884 /* (x & ~m) | (y & m) -> ((x ^ y) & m) ^ x */
886 (bit_ior:c (bit_and:cs @0 (bit_not @2)) (bit_and:cs @1 @2))
887 (bit_xor (bit_and (bit_xor @0 @1) @2) @0))
889 /* Fold A - (A & B) into ~B & A. */
891 (minus (convert? @0) (convert?:s (bit_and:cs @0 @1)))
892 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
893 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
894 (convert (bit_and (bit_not @1) @0))))
898 /* ((X inner_op C0) outer_op C1)
899 With X being a tree where value_range has reasoned certain bits to always be
900 zero throughout its computed value range,
901 inner_op = {|,^}, outer_op = {|,^} and inner_op != outer_op
902 where zero_mask has 1's for all bits that are sure to be 0 in
904 if (inner_op == '^') C0 &= ~C1;
905 if ((C0 & ~zero_mask) == 0) then emit (X outer_op (C0 outer_op C1)
906 if ((C1 & ~zero_mask) == 0) then emit (X inner_op (C0 outer_op C1)
908 (for inner_op (bit_ior bit_xor)
909 outer_op (bit_xor bit_ior)
912 (inner_op:s @2 INTEGER_CST@0) INTEGER_CST@1)
916 wide_int zero_mask_not;
920 if (TREE_CODE (@2) == SSA_NAME)
921 zero_mask_not = get_nonzero_bits (@2);
925 if (inner_op == BIT_XOR_EXPR)
927 C0 = wi::bit_and_not (@0, @1);
928 cst_emit = wi::bit_or (C0, @1);
933 cst_emit = wi::bit_xor (@0, @1);
936 (if (!fail && wi::bit_and (C0, zero_mask_not) == 0)
937 (outer_op @2 { wide_int_to_tree (type, cst_emit); })
938 (if (!fail && wi::bit_and (@1, zero_mask_not) == 0)
939 (inner_op @2 { wide_int_to_tree (type, cst_emit); }))))))
941 /* Associate (p +p off1) +p off2 as (p +p (off1 + off2)). */
943 (pointer_plus (pointer_plus:s @0 @1) @3)
944 (pointer_plus @0 (plus @1 @3)))
950 tem4 = (unsigned long) tem3;
955 (pointer_plus @0 (convert?@2 (minus@3 (convert @1) (convert @0))))
956 /* Conditionally look through a sign-changing conversion. */
957 (if (TYPE_PRECISION (TREE_TYPE (@2)) == TYPE_PRECISION (TREE_TYPE (@3))
958 && ((GIMPLE && useless_type_conversion_p (type, TREE_TYPE (@1)))
959 || (GENERIC && type == TREE_TYPE (@1))))
963 tem = (sizetype) ptr;
967 and produce the simpler and easier to analyze with respect to alignment
968 ... = ptr & ~algn; */
970 (pointer_plus @0 (negate (bit_and (convert @0) INTEGER_CST@1)))
971 (with { tree algn = wide_int_to_tree (TREE_TYPE (@0), wi::bit_not (@1)); }
972 (bit_and @0 { algn; })))
974 /* Try folding difference of addresses. */
976 (minus (convert ADDR_EXPR@0) (convert @1))
977 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
978 (with { HOST_WIDE_INT diff; }
979 (if (ptr_difference_const (@0, @1, &diff))
980 { build_int_cst_type (type, diff); }))))
982 (minus (convert @0) (convert ADDR_EXPR@1))
983 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
984 (with { HOST_WIDE_INT diff; }
985 (if (ptr_difference_const (@0, @1, &diff))
986 { build_int_cst_type (type, diff); }))))
988 /* If arg0 is derived from the address of an object or function, we may
989 be able to fold this expression using the object or function's
992 (bit_and (convert? @0) INTEGER_CST@1)
993 (if (POINTER_TYPE_P (TREE_TYPE (@0))
994 && tree_nop_conversion_p (type, TREE_TYPE (@0)))
998 unsigned HOST_WIDE_INT bitpos;
999 get_pointer_alignment_1 (@0, &align, &bitpos);
1001 (if (wi::ltu_p (@1, align / BITS_PER_UNIT))
1002 { wide_int_to_tree (type, wi::bit_and (@1, bitpos / BITS_PER_UNIT)); }))))
1005 /* We can't reassociate at all for saturating types. */
1006 (if (!TYPE_SATURATING (type))
1008 /* Contract negates. */
1009 /* A + (-B) -> A - B */
1011 (plus:c (convert1? @0) (convert2? (negate @1)))
1012 /* Apply STRIP_NOPS on @0 and the negate. */
1013 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
1014 && tree_nop_conversion_p (type, TREE_TYPE (@1))
1015 && !TYPE_OVERFLOW_SANITIZED (type))
1016 (minus (convert @0) (convert @1))))
1017 /* A - (-B) -> A + B */
1019 (minus (convert1? @0) (convert2? (negate @1)))
1020 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
1021 && tree_nop_conversion_p (type, TREE_TYPE (@1))
1022 && !TYPE_OVERFLOW_SANITIZED (type))
1023 (plus (convert @0) (convert @1))))
1026 (negate (convert? (negate @1)))
1027 (if (tree_nop_conversion_p (type, TREE_TYPE (@1))
1028 && !TYPE_OVERFLOW_SANITIZED (type))
1031 /* We can't reassociate floating-point unless -fassociative-math
1032 or fixed-point plus or minus because of saturation to +-Inf. */
1033 (if ((!FLOAT_TYPE_P (type) || flag_associative_math)
1034 && !FIXED_POINT_TYPE_P (type))
1036 /* Match patterns that allow contracting a plus-minus pair
1037 irrespective of overflow issues. */
1038 /* (A +- B) - A -> +- B */
1039 /* (A +- B) -+ B -> A */
1040 /* A - (A +- B) -> -+ B */
1041 /* A +- (B -+ A) -> +- B */
1043 (minus (plus:c @0 @1) @0)
1046 (minus (minus @0 @1) @0)
1049 (plus:c (minus @0 @1) @1)
1052 (minus @0 (plus:c @0 @1))
1055 (minus @0 (minus @0 @1))
1058 /* (A +- CST) +- CST -> A + CST */
1059 (for outer_op (plus minus)
1060 (for inner_op (plus minus)
1062 (outer_op (inner_op @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
1063 /* If the constant operation overflows we cannot do the transform
1064 as we would introduce undefined overflow, for example
1065 with (a - 1) + INT_MIN. */
1066 (with { tree cst = const_binop (outer_op == inner_op
1067 ? PLUS_EXPR : MINUS_EXPR, type, @1, @2); }
1068 (if (cst && !TREE_OVERFLOW (cst))
1069 (inner_op @0 { cst; } ))))))
1071 /* (CST - A) +- CST -> CST - A */
1072 (for outer_op (plus minus)
1074 (outer_op (minus CONSTANT_CLASS_P@1 @0) CONSTANT_CLASS_P@2)
1075 (with { tree cst = const_binop (outer_op, type, @1, @2); }
1076 (if (cst && !TREE_OVERFLOW (cst))
1077 (minus { cst; } @0)))))
1081 (plus:c (bit_not @0) @0)
1082 (if (!TYPE_OVERFLOW_TRAPS (type))
1083 { build_all_ones_cst (type); }))
1087 (plus (convert? (bit_not @0)) integer_each_onep)
1088 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
1089 (negate (convert @0))))
1093 (minus (convert? (negate @0)) integer_each_onep)
1094 (if (!TYPE_OVERFLOW_TRAPS (type)
1095 && tree_nop_conversion_p (type, TREE_TYPE (@0)))
1096 (bit_not (convert @0))))
1100 (minus integer_all_onesp @0)
1103 /* (T)(P + A) - (T)P -> (T) A */
1104 (for add (plus pointer_plus)
1106 (minus (convert (add @0 @1))
1108 (if (element_precision (type) <= element_precision (TREE_TYPE (@1))
1109 /* For integer types, if A has a smaller type
1110 than T the result depends on the possible
1112 E.g. T=size_t, A=(unsigned)429497295, P>0.
1113 However, if an overflow in P + A would cause
1114 undefined behavior, we can assume that there
1116 || (INTEGRAL_TYPE_P (TREE_TYPE (@0))
1117 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0)))
1118 /* For pointer types, if the conversion of A to the
1119 final type requires a sign- or zero-extension,
1120 then we have to punt - it is not defined which
1122 || (POINTER_TYPE_P (TREE_TYPE (@0))
1123 && TREE_CODE (@1) == INTEGER_CST
1124 && tree_int_cst_sign_bit (@1) == 0))
1127 /* (T)P - (T)(P + A) -> -(T) A */
1128 (for add (plus pointer_plus)
1131 (convert (add @0 @1)))
1132 (if (element_precision (type) <= element_precision (TREE_TYPE (@1))
1133 /* For integer types, if A has a smaller type
1134 than T the result depends on the possible
1136 E.g. T=size_t, A=(unsigned)429497295, P>0.
1137 However, if an overflow in P + A would cause
1138 undefined behavior, we can assume that there
1140 || (INTEGRAL_TYPE_P (TREE_TYPE (@0))
1141 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0)))
1142 /* For pointer types, if the conversion of A to the
1143 final type requires a sign- or zero-extension,
1144 then we have to punt - it is not defined which
1146 || (POINTER_TYPE_P (TREE_TYPE (@0))
1147 && TREE_CODE (@1) == INTEGER_CST
1148 && tree_int_cst_sign_bit (@1) == 0))
1149 (negate (convert @1)))))
1151 /* (T)(P + A) - (T)(P + B) -> (T)A - (T)B */
1152 (for add (plus pointer_plus)
1154 (minus (convert (add @0 @1))
1155 (convert (add @0 @2)))
1156 (if (element_precision (type) <= element_precision (TREE_TYPE (@1))
1157 /* For integer types, if A has a smaller type
1158 than T the result depends on the possible
1160 E.g. T=size_t, A=(unsigned)429497295, P>0.
1161 However, if an overflow in P + A would cause
1162 undefined behavior, we can assume that there
1164 || (INTEGRAL_TYPE_P (TREE_TYPE (@0))
1165 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0)))
1166 /* For pointer types, if the conversion of A to the
1167 final type requires a sign- or zero-extension,
1168 then we have to punt - it is not defined which
1170 || (POINTER_TYPE_P (TREE_TYPE (@0))
1171 && TREE_CODE (@1) == INTEGER_CST
1172 && tree_int_cst_sign_bit (@1) == 0
1173 && TREE_CODE (@2) == INTEGER_CST
1174 && tree_int_cst_sign_bit (@2) == 0))
1175 (minus (convert @1) (convert @2)))))))
1178 /* Simplifications of MIN_EXPR, MAX_EXPR, fmin() and fmax(). */
1180 (for minmax (min max FMIN FMAX)
1184 /* min(max(x,y),y) -> y. */
1186 (min:c (max:c @0 @1) @1)
1188 /* max(min(x,y),y) -> y. */
1190 (max:c (min:c @0 @1) @1)
1194 (if (INTEGRAL_TYPE_P (type)
1195 && TYPE_MIN_VALUE (type)
1196 && operand_equal_p (@1, TYPE_MIN_VALUE (type), OEP_ONLY_CONST))
1200 (if (INTEGRAL_TYPE_P (type)
1201 && TYPE_MAX_VALUE (type)
1202 && operand_equal_p (@1, TYPE_MAX_VALUE (type), OEP_ONLY_CONST))
1204 (for minmax (FMIN FMAX)
1205 /* If either argument is NaN, return the other one. Avoid the
1206 transformation if we get (and honor) a signalling NaN. */
1208 (minmax:c @0 REAL_CST@1)
1209 (if (real_isnan (TREE_REAL_CST_PTR (@1))
1210 && (!HONOR_SNANS (@1) || !TREE_REAL_CST (@1).signalling))
1212 /* Convert fmin/fmax to MIN_EXPR/MAX_EXPR. C99 requires these
1213 functions to return the numeric arg if the other one is NaN.
1214 MIN and MAX don't honor that, so only transform if -ffinite-math-only
1215 is set. C99 doesn't require -0.0 to be handled, so we don't have to
1216 worry about it either. */
1217 (if (flag_finite_math_only)
1225 /* Simplifications of shift and rotates. */
1227 (for rotate (lrotate rrotate)
1229 (rotate integer_all_onesp@0 @1)
1232 /* Optimize -1 >> x for arithmetic right shifts. */
1234 (rshift integer_all_onesp@0 @1)
1235 (if (!TYPE_UNSIGNED (type)
1236 && tree_expr_nonnegative_p (@1))
1239 /* Optimize (x >> c) << c into x & (-1<<c). */
1241 (lshift (rshift @0 INTEGER_CST@1) @1)
1242 (if (wi::ltu_p (@1, element_precision (type)))
1243 (bit_and @0 (lshift { build_minus_one_cst (type); } @1))))
1245 /* Optimize (x << c) >> c into x & ((unsigned)-1 >> c) for unsigned
1248 (rshift (lshift @0 INTEGER_CST@1) @1)
1249 (if (TYPE_UNSIGNED (type)
1250 && (wi::ltu_p (@1, element_precision (type))))
1251 (bit_and @0 (rshift { build_minus_one_cst (type); } @1))))
1253 (for shiftrotate (lrotate rrotate lshift rshift)
1255 (shiftrotate @0 integer_zerop)
1258 (shiftrotate integer_zerop@0 @1)
1260 /* Prefer vector1 << scalar to vector1 << vector2
1261 if vector2 is uniform. */
1262 (for vec (VECTOR_CST CONSTRUCTOR)
1264 (shiftrotate @0 vec@1)
1265 (with { tree tem = uniform_vector_p (@1); }
1267 (shiftrotate @0 { tem; }))))))
1269 /* Rewrite an LROTATE_EXPR by a constant into an
1270 RROTATE_EXPR by a new constant. */
1272 (lrotate @0 INTEGER_CST@1)
1273 (rrotate @0 { const_binop (MINUS_EXPR, TREE_TYPE (@1),
1274 build_int_cst (TREE_TYPE (@1),
1275 element_precision (type)), @1); }))
1277 /* Turn (a OP c1) OP c2 into a OP (c1+c2). */
1278 (for op (lrotate rrotate rshift lshift)
1280 (op (op @0 INTEGER_CST@1) INTEGER_CST@2)
1281 (with { unsigned int prec = element_precision (type); }
1282 (if (wi::ge_p (@1, 0, TYPE_SIGN (TREE_TYPE (@1)))
1283 && wi::lt_p (@1, prec, TYPE_SIGN (TREE_TYPE (@1)))
1284 && wi::ge_p (@2, 0, TYPE_SIGN (TREE_TYPE (@2)))
1285 && wi::lt_p (@2, prec, TYPE_SIGN (TREE_TYPE (@2))))
1286 (with { unsigned int low = wi::add (@1, @2).to_uhwi (); }
1287 /* Deal with a OP (c1 + c2) being undefined but (a OP c1) OP c2
1288 being well defined. */
1290 (if (op == LROTATE_EXPR || op == RROTATE_EXPR)
1291 (op @0 { build_int_cst (TREE_TYPE (@1), low % prec); })
1292 (if (TYPE_UNSIGNED (type) || op == LSHIFT_EXPR)
1293 { build_zero_cst (type); }
1294 (op @0 { build_int_cst (TREE_TYPE (@1), prec - 1); })))
1295 (op @0 { build_int_cst (TREE_TYPE (@1), low); })))))))
1298 /* ((1 << A) & 1) != 0 -> A == 0
1299 ((1 << A) & 1) == 0 -> A != 0 */
1303 (cmp (bit_and (lshift integer_onep @0) integer_onep) integer_zerop)
1304 (icmp @0 { build_zero_cst (TREE_TYPE (@0)); })))
1306 /* (CST1 << A) == CST2 -> A == ctz (CST2) - ctz (CST1)
1307 (CST1 << A) != CST2 -> A != ctz (CST2) - ctz (CST1)
1311 (cmp (lshift INTEGER_CST@0 @1) INTEGER_CST@2)
1312 (with { int cand = wi::ctz (@2) - wi::ctz (@0); }
1314 || (!integer_zerop (@2)
1315 && wi::ne_p (wi::lshift (@0, cand), @2)))
1316 { constant_boolean_node (cmp == NE_EXPR, type); }
1317 (if (!integer_zerop (@2)
1318 && wi::eq_p (wi::lshift (@0, cand), @2))
1319 (cmp @1 { build_int_cst (TREE_TYPE (@1), cand); }))))))
1321 /* Fold (X << C1) & C2 into (X << C1) & (C2 | ((1 << C1) - 1))
1322 (X >> C1) & C2 into (X >> C1) & (C2 | ~((type) -1 >> C1))
1323 if the new mask might be further optimized. */
1324 (for shift (lshift rshift)
1326 (bit_and (convert?:s@4 (shift:s@5 (convert1?@3 @0) INTEGER_CST@1))
1328 (if (tree_nop_conversion_p (TREE_TYPE (@4), TREE_TYPE (@5))
1329 && TYPE_PRECISION (type) <= HOST_BITS_PER_WIDE_INT
1330 && tree_fits_uhwi_p (@1)
1331 && tree_to_uhwi (@1) > 0
1332 && tree_to_uhwi (@1) < TYPE_PRECISION (type))
1335 unsigned int shiftc = tree_to_uhwi (@1);
1336 unsigned HOST_WIDE_INT mask = TREE_INT_CST_LOW (@2);
1337 unsigned HOST_WIDE_INT newmask, zerobits = 0;
1338 tree shift_type = TREE_TYPE (@3);
1341 if (shift == LSHIFT_EXPR)
1342 zerobits = ((((unsigned HOST_WIDE_INT) 1) << shiftc) - 1);
1343 else if (shift == RSHIFT_EXPR
1344 && (TYPE_PRECISION (shift_type)
1345 == GET_MODE_PRECISION (TYPE_MODE (shift_type))))
1347 prec = TYPE_PRECISION (TREE_TYPE (@3));
1349 /* See if more bits can be proven as zero because of
1352 && TYPE_UNSIGNED (TREE_TYPE (@0)))
1354 tree inner_type = TREE_TYPE (@0);
1355 if ((TYPE_PRECISION (inner_type)
1356 == GET_MODE_PRECISION (TYPE_MODE (inner_type)))
1357 && TYPE_PRECISION (inner_type) < prec)
1359 prec = TYPE_PRECISION (inner_type);
1360 /* See if we can shorten the right shift. */
1362 shift_type = inner_type;
1363 /* Otherwise X >> C1 is all zeros, so we'll optimize
1364 it into (X, 0) later on by making sure zerobits
1368 zerobits = ~(unsigned HOST_WIDE_INT) 0;
1371 zerobits >>= HOST_BITS_PER_WIDE_INT - shiftc;
1372 zerobits <<= prec - shiftc;
1374 /* For arithmetic shift if sign bit could be set, zerobits
1375 can contain actually sign bits, so no transformation is
1376 possible, unless MASK masks them all away. In that
1377 case the shift needs to be converted into logical shift. */
1378 if (!TYPE_UNSIGNED (TREE_TYPE (@3))
1379 && prec == TYPE_PRECISION (TREE_TYPE (@3)))
1381 if ((mask & zerobits) == 0)
1382 shift_type = unsigned_type_for (TREE_TYPE (@3));
1388 /* ((X << 16) & 0xff00) is (X, 0). */
1389 (if ((mask & zerobits) == mask)
1390 { build_int_cst (type, 0); }
1391 (with { newmask = mask | zerobits; }
1392 (if (newmask != mask && (newmask & (newmask + 1)) == 0)
1395 /* Only do the transformation if NEWMASK is some integer
1397 for (prec = BITS_PER_UNIT;
1398 prec < HOST_BITS_PER_WIDE_INT; prec <<= 1)
1399 if (newmask == (((unsigned HOST_WIDE_INT) 1) << prec) - 1)
1402 (if (prec < HOST_BITS_PER_WIDE_INT
1403 || newmask == ~(unsigned HOST_WIDE_INT) 0)
1405 { tree newmaskt = build_int_cst_type (TREE_TYPE (@2), newmask); }
1406 (if (!tree_int_cst_equal (newmaskt, @2))
1407 (if (shift_type != TREE_TYPE (@3))
1408 (bit_and (convert (shift:shift_type (convert @3) @1)) { newmaskt; })
1409 (bit_and @4 { newmaskt; })))))))))))))
1411 /* Fold (X {&,^,|} C2) << C1 into (X << C1) {&,^,|} (C2 << C1)
1412 (X {&,^,|} C2) >> C1 into (X >> C1) & (C2 >> C1). */
1413 (for shift (lshift rshift)
1414 (for bit_op (bit_and bit_xor bit_ior)
1416 (shift (convert?:s (bit_op:s @0 INTEGER_CST@2)) INTEGER_CST@1)
1417 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
1418 (with { tree mask = int_const_binop (shift, fold_convert (type, @2), @1); }
1419 (bit_op (shift (convert @0) @1) { mask; }))))))
1422 /* Simplifications of conversions. */
1424 /* Basic strip-useless-type-conversions / strip_nops. */
1425 (for cvt (convert view_convert float fix_trunc)
1428 (if ((GIMPLE && useless_type_conversion_p (type, TREE_TYPE (@0)))
1429 || (GENERIC && type == TREE_TYPE (@0)))
1432 /* Contract view-conversions. */
1434 (view_convert (view_convert @0))
1437 /* For integral conversions with the same precision or pointer
1438 conversions use a NOP_EXPR instead. */
1441 (if ((INTEGRAL_TYPE_P (type) || POINTER_TYPE_P (type))
1442 && (INTEGRAL_TYPE_P (TREE_TYPE (@0)) || POINTER_TYPE_P (TREE_TYPE (@0)))
1443 && TYPE_PRECISION (type) == TYPE_PRECISION (TREE_TYPE (@0)))
1446 /* Strip inner integral conversions that do not change precision or size. */
1448 (view_convert (convert@0 @1))
1449 (if ((INTEGRAL_TYPE_P (TREE_TYPE (@0)) || POINTER_TYPE_P (TREE_TYPE (@0)))
1450 && (INTEGRAL_TYPE_P (TREE_TYPE (@1)) || POINTER_TYPE_P (TREE_TYPE (@1)))
1451 && (TYPE_PRECISION (TREE_TYPE (@0)) == TYPE_PRECISION (TREE_TYPE (@1)))
1452 && (TYPE_SIZE (TREE_TYPE (@0)) == TYPE_SIZE (TREE_TYPE (@1))))
1455 /* Re-association barriers around constants and other re-association
1456 barriers can be removed. */
1458 (paren CONSTANT_CLASS_P@0)
1461 (paren (paren@1 @0))
1464 /* Handle cases of two conversions in a row. */
1465 (for ocvt (convert float fix_trunc)
1466 (for icvt (convert float)
1471 tree inside_type = TREE_TYPE (@0);
1472 tree inter_type = TREE_TYPE (@1);
1473 int inside_int = INTEGRAL_TYPE_P (inside_type);
1474 int inside_ptr = POINTER_TYPE_P (inside_type);
1475 int inside_float = FLOAT_TYPE_P (inside_type);
1476 int inside_vec = VECTOR_TYPE_P (inside_type);
1477 unsigned int inside_prec = TYPE_PRECISION (inside_type);
1478 int inside_unsignedp = TYPE_UNSIGNED (inside_type);
1479 int inter_int = INTEGRAL_TYPE_P (inter_type);
1480 int inter_ptr = POINTER_TYPE_P (inter_type);
1481 int inter_float = FLOAT_TYPE_P (inter_type);
1482 int inter_vec = VECTOR_TYPE_P (inter_type);
1483 unsigned int inter_prec = TYPE_PRECISION (inter_type);
1484 int inter_unsignedp = TYPE_UNSIGNED (inter_type);
1485 int final_int = INTEGRAL_TYPE_P (type);
1486 int final_ptr = POINTER_TYPE_P (type);
1487 int final_float = FLOAT_TYPE_P (type);
1488 int final_vec = VECTOR_TYPE_P (type);
1489 unsigned int final_prec = TYPE_PRECISION (type);
1490 int final_unsignedp = TYPE_UNSIGNED (type);
1493 /* In addition to the cases of two conversions in a row
1494 handled below, if we are converting something to its own
1495 type via an object of identical or wider precision, neither
1496 conversion is needed. */
1497 (if (((GIMPLE && useless_type_conversion_p (type, inside_type))
1499 && TYPE_MAIN_VARIANT (type) == TYPE_MAIN_VARIANT (inside_type)))
1500 && (((inter_int || inter_ptr) && final_int)
1501 || (inter_float && final_float))
1502 && inter_prec >= final_prec)
1505 /* Likewise, if the intermediate and initial types are either both
1506 float or both integer, we don't need the middle conversion if the
1507 former is wider than the latter and doesn't change the signedness
1508 (for integers). Avoid this if the final type is a pointer since
1509 then we sometimes need the middle conversion. Likewise if the
1510 final type has a precision not equal to the size of its mode. */
1511 (if (((inter_int && inside_int) || (inter_float && inside_float))
1512 && (final_int || final_float)
1513 && inter_prec >= inside_prec
1514 && (inter_float || inter_unsignedp == inside_unsignedp)
1515 && ! (final_prec != GET_MODE_PRECISION (TYPE_MODE (type))
1516 && TYPE_MODE (type) == TYPE_MODE (inter_type)))
1519 /* If we have a sign-extension of a zero-extended value, we can
1520 replace that by a single zero-extension. Likewise if the
1521 final conversion does not change precision we can drop the
1522 intermediate conversion. */
1523 (if (inside_int && inter_int && final_int
1524 && ((inside_prec < inter_prec && inter_prec < final_prec
1525 && inside_unsignedp && !inter_unsignedp)
1526 || final_prec == inter_prec))
1529 /* Two conversions in a row are not needed unless:
1530 - some conversion is floating-point (overstrict for now), or
1531 - some conversion is a vector (overstrict for now), or
1532 - the intermediate type is narrower than both initial and
1534 - the intermediate type and innermost type differ in signedness,
1535 and the outermost type is wider than the intermediate, or
1536 - the initial type is a pointer type and the precisions of the
1537 intermediate and final types differ, or
1538 - the final type is a pointer type and the precisions of the
1539 initial and intermediate types differ. */
1540 (if (! inside_float && ! inter_float && ! final_float
1541 && ! inside_vec && ! inter_vec && ! final_vec
1542 && (inter_prec >= inside_prec || inter_prec >= final_prec)
1543 && ! (inside_int && inter_int
1544 && inter_unsignedp != inside_unsignedp
1545 && inter_prec < final_prec)
1546 && ((inter_unsignedp && inter_prec > inside_prec)
1547 == (final_unsignedp && final_prec > inter_prec))
1548 && ! (inside_ptr && inter_prec != final_prec)
1549 && ! (final_ptr && inside_prec != inter_prec)
1550 && ! (final_prec != GET_MODE_PRECISION (TYPE_MODE (type))
1551 && TYPE_MODE (type) == TYPE_MODE (inter_type)))
1554 /* A truncation to an unsigned type (a zero-extension) should be
1555 canonicalized as bitwise and of a mask. */
1556 (if (final_int && inter_int && inside_int
1557 && final_prec == inside_prec
1558 && final_prec > inter_prec
1560 (convert (bit_and @0 { wide_int_to_tree
1562 wi::mask (inter_prec, false,
1563 TYPE_PRECISION (inside_type))); })))
1565 /* If we are converting an integer to a floating-point that can
1566 represent it exactly and back to an integer, we can skip the
1567 floating-point conversion. */
1568 (if (GIMPLE /* PR66211 */
1569 && inside_int && inter_float && final_int &&
1570 (unsigned) significand_size (TYPE_MODE (inter_type))
1571 >= inside_prec - !inside_unsignedp)
1574 /* If we have a narrowing conversion to an integral type that is fed by a
1575 BIT_AND_EXPR, we might be able to remove the BIT_AND_EXPR if it merely
1576 masks off bits outside the final type (and nothing else). */
1578 (convert (bit_and @0 INTEGER_CST@1))
1579 (if (INTEGRAL_TYPE_P (type)
1580 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
1581 && TYPE_PRECISION (type) <= TYPE_PRECISION (TREE_TYPE (@0))
1582 && operand_equal_p (@1, build_low_bits_mask (TREE_TYPE (@1),
1583 TYPE_PRECISION (type)), 0))
1587 /* (X /[ex] A) * A -> X. */
1589 (mult (convert? (exact_div @0 @1)) @1)
1590 /* Look through a sign-changing conversion. */
1593 /* Canonicalization of binary operations. */
1595 /* Convert X + -C into X - C. */
1597 (plus @0 REAL_CST@1)
1598 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1)))
1599 (with { tree tem = const_unop (NEGATE_EXPR, type, @1); }
1600 (if (!TREE_OVERFLOW (tem) || !flag_trapping_math)
1601 (minus @0 { tem; })))))
1603 /* Convert x+x into x*2.0. */
1606 (if (SCALAR_FLOAT_TYPE_P (type))
1607 (mult @0 { build_real (type, dconst2); })))
1610 (minus integer_zerop @1)
1613 /* (ARG0 - ARG1) is the same as (-ARG1 + ARG0). So check whether
1614 ARG0 is zero and X + ARG0 reduces to X, since that would mean
1615 (-ARG1 + ARG0) reduces to -ARG1. */
1617 (minus real_zerop@0 @1)
1618 (if (fold_real_zero_addition_p (type, @0, 0))
1621 /* Transform x * -1 into -x. */
1623 (mult @0 integer_minus_onep)
1626 /* True if we can easily extract the real and imaginary parts of a complex
1628 (match compositional_complex
1629 (convert? (complex @0 @1)))
1631 /* COMPLEX_EXPR and REALPART/IMAGPART_EXPR cancellations. */
1633 (complex (realpart @0) (imagpart @0))
1636 (realpart (complex @0 @1))
1639 (imagpart (complex @0 @1))
1642 /* Sometimes we only care about half of a complex expression. */
1644 (realpart (convert?:s (conj:s @0)))
1645 (convert (realpart @0)))
1647 (imagpart (convert?:s (conj:s @0)))
1648 (convert (negate (imagpart @0))))
1649 (for part (realpart imagpart)
1650 (for op (plus minus)
1652 (part (convert?:s@2 (op:s @0 @1)))
1653 (convert (op (part @0) (part @1))))))
1655 (realpart (convert?:s (CEXPI:s @0)))
1658 (imagpart (convert?:s (CEXPI:s @0)))
1661 /* conj(conj(x)) -> x */
1663 (conj (convert? (conj @0)))
1664 (if (tree_nop_conversion_p (TREE_TYPE (@0), type))
1667 /* conj({x,y}) -> {x,-y} */
1669 (conj (convert?:s (complex:s @0 @1)))
1670 (with { tree itype = TREE_TYPE (type); }
1671 (complex (convert:itype @0) (negate (convert:itype @1)))))
1673 /* BSWAP simplifications, transforms checked by gcc.dg/builtin-bswap-8.c. */
1674 (for bswap (BUILT_IN_BSWAP16 BUILT_IN_BSWAP32 BUILT_IN_BSWAP64)
1679 (bswap (bit_not (bswap @0)))
1681 (for bitop (bit_xor bit_ior bit_and)
1683 (bswap (bitop:c (bswap @0) @1))
1684 (bitop @0 (bswap @1)))))
1687 /* Combine COND_EXPRs and VEC_COND_EXPRs. */
1689 /* Simplify constant conditions.
1690 Only optimize constant conditions when the selected branch
1691 has the same type as the COND_EXPR. This avoids optimizing
1692 away "c ? x : throw", where the throw has a void type.
1693 Note that we cannot throw away the fold-const.c variant nor
1694 this one as we depend on doing this transform before possibly
1695 A ? B : B -> B triggers and the fold-const.c one can optimize
1696 0 ? A : B to B even if A has side-effects. Something
1697 genmatch cannot handle. */
1699 (cond INTEGER_CST@0 @1 @2)
1700 (if (integer_zerop (@0))
1701 (if (!VOID_TYPE_P (TREE_TYPE (@2)) || VOID_TYPE_P (type))
1703 (if (!VOID_TYPE_P (TREE_TYPE (@1)) || VOID_TYPE_P (type))
1706 (vec_cond VECTOR_CST@0 @1 @2)
1707 (if (integer_all_onesp (@0))
1709 (if (integer_zerop (@0))
1712 (for cnd (cond vec_cond)
1713 /* A ? B : (A ? X : C) -> A ? B : C. */
1715 (cnd @0 (cnd @0 @1 @2) @3)
1718 (cnd @0 @1 (cnd @0 @2 @3))
1720 /* A ? B : (!A ? C : X) -> A ? B : C. */
1721 /* ??? This matches embedded conditions open-coded because genmatch
1722 would generate matching code for conditions in separate stmts only.
1723 The following is still important to merge then and else arm cases
1724 from if-conversion. */
1726 (cnd @0 @1 (cnd @2 @3 @4))
1727 (if (COMPARISON_CLASS_P (@0)
1728 && COMPARISON_CLASS_P (@2)
1729 && invert_tree_comparison
1730 (TREE_CODE (@0), HONOR_NANS (TREE_OPERAND (@0, 0))) == TREE_CODE (@2)
1731 && operand_equal_p (TREE_OPERAND (@0, 0), TREE_OPERAND (@2, 0), 0)
1732 && operand_equal_p (TREE_OPERAND (@0, 1), TREE_OPERAND (@2, 1), 0))
1735 (cnd @0 (cnd @1 @2 @3) @4)
1736 (if (COMPARISON_CLASS_P (@0)
1737 && COMPARISON_CLASS_P (@1)
1738 && invert_tree_comparison
1739 (TREE_CODE (@0), HONOR_NANS (TREE_OPERAND (@0, 0))) == TREE_CODE (@1)
1740 && operand_equal_p (TREE_OPERAND (@0, 0), TREE_OPERAND (@1, 0), 0)
1741 && operand_equal_p (TREE_OPERAND (@0, 1), TREE_OPERAND (@1, 1), 0))
1744 /* A ? B : B -> B. */
1749 /* !A ? B : C -> A ? C : B. */
1751 (cnd (logical_inverted_value truth_valued_p@0) @1 @2)
1754 /* A + (B vcmp C ? 1 : 0) -> A - (B vcmp C), since vector comparisons
1755 return all-1 or all-0 results. */
1756 /* ??? We could instead convert all instances of the vec_cond to negate,
1757 but that isn't necessarily a win on its own. */
1759 (plus:c @3 (view_convert? (vec_cond @0 integer_each_onep@1 integer_zerop@2)))
1760 (if (VECTOR_TYPE_P (type)
1761 && TYPE_VECTOR_SUBPARTS (type) == TYPE_VECTOR_SUBPARTS (TREE_TYPE (@0))
1762 && (TYPE_MODE (TREE_TYPE (type))
1763 == TYPE_MODE (TREE_TYPE (TREE_TYPE (@0)))))
1764 (minus @3 (view_convert @0))))
1766 /* ... likewise A - (B vcmp C ? 1 : 0) -> A + (B vcmp C). */
1768 (minus @3 (view_convert? (vec_cond @0 integer_each_onep@1 integer_zerop@2)))
1769 (if (VECTOR_TYPE_P (type)
1770 && TYPE_VECTOR_SUBPARTS (type) == TYPE_VECTOR_SUBPARTS (TREE_TYPE (@0))
1771 && (TYPE_MODE (TREE_TYPE (type))
1772 == TYPE_MODE (TREE_TYPE (TREE_TYPE (@0)))))
1773 (plus @3 (view_convert @0))))
1776 /* Simplifications of comparisons. */
1778 /* See if we can reduce the magnitude of a constant involved in a
1779 comparison by changing the comparison code. This is a canonicalization
1780 formerly done by maybe_canonicalize_comparison_1. */
1784 (cmp @0 INTEGER_CST@1)
1785 (if (tree_int_cst_sgn (@1) == -1)
1786 (acmp @0 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))))
1790 (cmp @0 INTEGER_CST@1)
1791 (if (tree_int_cst_sgn (@1) == 1)
1792 (acmp @0 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))))
1795 /* We can simplify a logical negation of a comparison to the
1796 inverted comparison. As we cannot compute an expression
1797 operator using invert_tree_comparison we have to simulate
1798 that with expression code iteration. */
1799 (for cmp (tcc_comparison)
1800 icmp (inverted_tcc_comparison)
1801 ncmp (inverted_tcc_comparison_with_nans)
1802 /* Ideally we'd like to combine the following two patterns
1803 and handle some more cases by using
1804 (logical_inverted_value (cmp @0 @1))
1805 here but for that genmatch would need to "inline" that.
1806 For now implement what forward_propagate_comparison did. */
1808 (bit_not (cmp @0 @1))
1809 (if (VECTOR_TYPE_P (type)
1810 || (INTEGRAL_TYPE_P (type) && TYPE_PRECISION (type) == 1))
1811 /* Comparison inversion may be impossible for trapping math,
1812 invert_tree_comparison will tell us. But we can't use
1813 a computed operator in the replacement tree thus we have
1814 to play the trick below. */
1815 (with { enum tree_code ic = invert_tree_comparison
1816 (cmp, HONOR_NANS (@0)); }
1822 (bit_xor (cmp @0 @1) integer_truep)
1823 (with { enum tree_code ic = invert_tree_comparison
1824 (cmp, HONOR_NANS (@0)); }
1830 /* Transform comparisons of the form X - Y CMP 0 to X CMP Y.
1831 ??? The transformation is valid for the other operators if overflow
1832 is undefined for the type, but performing it here badly interacts
1833 with the transformation in fold_cond_expr_with_comparison which
1834 attempts to synthetize ABS_EXPR. */
1837 (cmp (minus@2 @0 @1) integer_zerop)
1838 (if (single_use (@2))
1841 /* Transform comparisons of the form X * C1 CMP 0 to X CMP 0 in the
1842 signed arithmetic case. That form is created by the compiler
1843 often enough for folding it to be of value. One example is in
1844 computing loop trip counts after Operator Strength Reduction. */
1845 (for cmp (simple_comparison)
1846 scmp (swapped_simple_comparison)
1848 (cmp (mult@3 @0 INTEGER_CST@1) integer_zerop@2)
1849 /* Handle unfolded multiplication by zero. */
1850 (if (integer_zerop (@1))
1852 (if (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
1853 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0))
1855 /* If @1 is negative we swap the sense of the comparison. */
1856 (if (tree_int_cst_sgn (@1) < 0)
1860 /* Simplify comparison of something with itself. For IEEE
1861 floating-point, we can only do some of these simplifications. */
1865 (if (! FLOAT_TYPE_P (TREE_TYPE (@0))
1866 || ! HONOR_NANS (TYPE_MODE (TREE_TYPE (@0))))
1867 { constant_boolean_node (true, type); }
1868 (if (cmp != EQ_EXPR)
1874 || ! FLOAT_TYPE_P (TREE_TYPE (@0))
1875 || ! HONOR_NANS (TYPE_MODE (TREE_TYPE (@0))))
1876 { constant_boolean_node (false, type); })))
1877 (for cmp (unle unge uneq)
1880 { constant_boolean_node (true, type); }))
1883 (if (!flag_trapping_math)
1884 { constant_boolean_node (false, type); }))
1886 /* Fold ~X op ~Y as Y op X. */
1887 (for cmp (simple_comparison)
1889 (cmp (bit_not@2 @0) (bit_not@3 @1))
1890 (if (single_use (@2) && single_use (@3))
1893 /* Fold ~X op C as X op' ~C, where op' is the swapped comparison. */
1894 (for cmp (simple_comparison)
1895 scmp (swapped_simple_comparison)
1897 (cmp (bit_not@2 @0) CONSTANT_CLASS_P@1)
1898 (if (single_use (@2)
1899 && (TREE_CODE (@1) == INTEGER_CST || TREE_CODE (@1) == VECTOR_CST))
1900 (scmp @0 (bit_not @1)))))
1902 (for cmp (simple_comparison)
1903 /* Fold (double)float1 CMP (double)float2 into float1 CMP float2. */
1905 (cmp (convert@2 @0) (convert? @1))
1906 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
1907 && (DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@2))
1908 == DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@0)))
1909 && (DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@2))
1910 == DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@1))))
1913 tree type1 = TREE_TYPE (@1);
1914 if (TREE_CODE (@1) == REAL_CST && !DECIMAL_FLOAT_TYPE_P (type1))
1916 REAL_VALUE_TYPE orig = TREE_REAL_CST (@1);
1917 if (TYPE_PRECISION (type1) > TYPE_PRECISION (float_type_node)
1918 && exact_real_truncate (TYPE_MODE (float_type_node), &orig))
1919 type1 = float_type_node;
1920 if (TYPE_PRECISION (type1) > TYPE_PRECISION (double_type_node)
1921 && exact_real_truncate (TYPE_MODE (double_type_node), &orig))
1922 type1 = double_type_node;
1925 = (TYPE_PRECISION (TREE_TYPE (@0)) > TYPE_PRECISION (type1)
1926 ? TREE_TYPE (@0) : type1);
1928 (if (TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (newtype))
1929 (cmp (convert:newtype @0) (convert:newtype @1))))))
1933 /* IEEE doesn't distinguish +0 and -0 in comparisons. */
1935 /* a CMP (-0) -> a CMP 0 */
1936 (if (REAL_VALUE_MINUS_ZERO (TREE_REAL_CST (@1)))
1937 (cmp @0 { build_real (TREE_TYPE (@1), dconst0); }))
1938 /* x != NaN is always true, other ops are always false. */
1939 (if (REAL_VALUE_ISNAN (TREE_REAL_CST (@1))
1940 && ! HONOR_SNANS (@1))
1941 { constant_boolean_node (cmp == NE_EXPR, type); })
1942 /* Fold comparisons against infinity. */
1943 (if (REAL_VALUE_ISINF (TREE_REAL_CST (@1))
1944 && MODE_HAS_INFINITIES (TYPE_MODE (TREE_TYPE (@1))))
1947 REAL_VALUE_TYPE max;
1948 enum tree_code code = cmp;
1949 bool neg = REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1));
1951 code = swap_tree_comparison (code);
1954 /* x > +Inf is always false, if with ignore sNANs. */
1955 (if (code == GT_EXPR
1956 && ! HONOR_SNANS (@0))
1957 { constant_boolean_node (false, type); })
1958 (if (code == LE_EXPR)
1959 /* x <= +Inf is always true, if we don't case about NaNs. */
1960 (if (! HONOR_NANS (@0))
1961 { constant_boolean_node (true, type); }
1962 /* x <= +Inf is the same as x == x, i.e. !isnan(x). */
1964 /* x == +Inf and x >= +Inf are always equal to x > DBL_MAX. */
1965 (if (code == EQ_EXPR || code == GE_EXPR)
1966 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1968 (lt @0 { build_real (TREE_TYPE (@0), max); })
1969 (gt @0 { build_real (TREE_TYPE (@0), max); }))))
1970 /* x < +Inf is always equal to x <= DBL_MAX. */
1971 (if (code == LT_EXPR)
1972 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1974 (ge @0 { build_real (TREE_TYPE (@0), max); })
1975 (le @0 { build_real (TREE_TYPE (@0), max); }))))
1976 /* x != +Inf is always equal to !(x > DBL_MAX). */
1977 (if (code == NE_EXPR)
1978 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1979 (if (! HONOR_NANS (@0))
1981 (ge @0 { build_real (TREE_TYPE (@0), max); })
1982 (le @0 { build_real (TREE_TYPE (@0), max); }))
1984 (bit_xor (lt @0 { build_real (TREE_TYPE (@0), max); })
1985 { build_one_cst (type); })
1986 (bit_xor (gt @0 { build_real (TREE_TYPE (@0), max); })
1987 { build_one_cst (type); }))))))))))
1989 /* If this is a comparison of a real constant with a PLUS_EXPR
1990 or a MINUS_EXPR of a real constant, we can convert it into a
1991 comparison with a revised real constant as long as no overflow
1992 occurs when unsafe_math_optimizations are enabled. */
1993 (if (flag_unsafe_math_optimizations)
1994 (for op (plus minus)
1996 (cmp (op @0 REAL_CST@1) REAL_CST@2)
1999 tree tem = const_binop (op == PLUS_EXPR ? MINUS_EXPR : PLUS_EXPR,
2000 TREE_TYPE (@1), @2, @1);
2002 (if (tem && !TREE_OVERFLOW (tem))
2003 (cmp @0 { tem; }))))))
2005 /* Likewise, we can simplify a comparison of a real constant with
2006 a MINUS_EXPR whose first operand is also a real constant, i.e.
2007 (c1 - x) < c2 becomes x > c1-c2. Reordering is allowed on
2008 floating-point types only if -fassociative-math is set. */
2009 (if (flag_associative_math)
2011 (cmp (minus REAL_CST@0 @1) REAL_CST@2)
2012 (with { tree tem = const_binop (MINUS_EXPR, TREE_TYPE (@1), @0, @2); }
2013 (if (tem && !TREE_OVERFLOW (tem))
2014 (cmp { tem; } @1)))))
2016 /* Fold comparisons against built-in math functions. */
2017 (if (flag_unsafe_math_optimizations
2018 && ! flag_errno_math)
2021 (cmp (sq @0) REAL_CST@1)
2023 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1)))
2025 /* sqrt(x) < y is always false, if y is negative. */
2026 (if (cmp == EQ_EXPR || cmp == LT_EXPR || cmp == LE_EXPR)
2027 { constant_boolean_node (false, type); })
2028 /* sqrt(x) > y is always true, if y is negative and we
2029 don't care about NaNs, i.e. negative values of x. */
2030 (if (cmp == NE_EXPR || !HONOR_NANS (@0))
2031 { constant_boolean_node (true, type); })
2032 /* sqrt(x) > y is the same as x >= 0, if y is negative. */
2033 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })))
2034 (if (real_equal (TREE_REAL_CST_PTR (@1), &dconst0))
2036 /* sqrt(x) < 0 is always false. */
2037 (if (cmp == LT_EXPR)
2038 { constant_boolean_node (false, type); })
2039 /* sqrt(x) >= 0 is always true if we don't care about NaNs. */
2040 (if (cmp == GE_EXPR && !HONOR_NANS (@0))
2041 { constant_boolean_node (true, type); })
2042 /* sqrt(x) <= 0 -> x == 0. */
2043 (if (cmp == LE_EXPR)
2045 /* Otherwise sqrt(x) cmp 0 -> x cmp 0. Here cmp can be >=, >,
2046 == or !=. In the last case:
2048 (sqrt(x) != 0) == (NaN != 0) == true == (x != 0)
2050 if x is negative or NaN. Due to -funsafe-math-optimizations,
2051 the results for other x follow from natural arithmetic. */
2053 (if (cmp == GT_EXPR || cmp == GE_EXPR)
2057 real_arithmetic (&c2, MULT_EXPR,
2058 &TREE_REAL_CST (@1), &TREE_REAL_CST (@1));
2059 real_convert (&c2, TYPE_MODE (TREE_TYPE (@0)), &c2);
2061 (if (REAL_VALUE_ISINF (c2))
2062 /* sqrt(x) > y is x == +Inf, when y is very large. */
2063 (if (HONOR_INFINITIES (@0))
2064 (eq @0 { build_real (TREE_TYPE (@0), c2); })
2065 { constant_boolean_node (false, type); })
2066 /* sqrt(x) > c is the same as x > c*c. */
2067 (cmp @0 { build_real (TREE_TYPE (@0), c2); }))))
2068 (if (cmp == LT_EXPR || cmp == LE_EXPR)
2072 real_arithmetic (&c2, MULT_EXPR,
2073 &TREE_REAL_CST (@1), &TREE_REAL_CST (@1));
2074 real_convert (&c2, TYPE_MODE (TREE_TYPE (@0)), &c2);
2076 (if (REAL_VALUE_ISINF (c2))
2078 /* sqrt(x) < y is always true, when y is a very large
2079 value and we don't care about NaNs or Infinities. */
2080 (if (! HONOR_NANS (@0) && ! HONOR_INFINITIES (@0))
2081 { constant_boolean_node (true, type); })
2082 /* sqrt(x) < y is x != +Inf when y is very large and we
2083 don't care about NaNs. */
2084 (if (! HONOR_NANS (@0))
2085 (ne @0 { build_real (TREE_TYPE (@0), c2); }))
2086 /* sqrt(x) < y is x >= 0 when y is very large and we
2087 don't care about Infinities. */
2088 (if (! HONOR_INFINITIES (@0))
2089 (ge @0 { build_real (TREE_TYPE (@0), dconst0); }))
2090 /* sqrt(x) < y is x >= 0 && x != +Inf, when y is large. */
2093 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })
2094 (ne @0 { build_real (TREE_TYPE (@0), c2); }))))
2095 /* sqrt(x) < c is the same as x < c*c, if we ignore NaNs. */
2096 (if (! HONOR_NANS (@0))
2097 (cmp @0 { build_real (TREE_TYPE (@0), c2); })
2098 /* sqrt(x) < c is the same as x >= 0 && x < c*c. */
2101 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })
2102 (cmp @0 { build_real (TREE_TYPE (@0), c2); }))))))))))))
2104 /* Unordered tests if either argument is a NaN. */
2106 (bit_ior (unordered @0 @0) (unordered @1 @1))
2107 (if (types_match (@0, @1))
2110 (bit_and (ordered @0 @0) (ordered @1 @1))
2111 (if (types_match (@0, @1))
2114 (bit_ior:c (unordered @0 @0) (unordered:c@2 @0 @1))
2117 (bit_and:c (ordered @0 @0) (ordered:c@2 @0 @1))
2120 /* Simple range test simplifications. */
2121 /* A < B || A >= B -> true. */
2122 (for test1 (lt le le le ne ge)
2123 test2 (ge gt ge ne eq ne)
2125 (bit_ior:c (test1 @0 @1) (test2 @0 @1))
2126 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
2127 || VECTOR_INTEGER_TYPE_P (TREE_TYPE (@0)))
2128 { constant_boolean_node (true, type); })))
2129 /* A < B && A >= B -> false. */
2130 (for test1 (lt lt lt le ne eq)
2131 test2 (ge gt eq gt eq gt)
2133 (bit_and:c (test1 @0 @1) (test2 @0 @1))
2134 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
2135 || VECTOR_INTEGER_TYPE_P (TREE_TYPE (@0)))
2136 { constant_boolean_node (false, type); })))
2138 /* -A CMP -B -> B CMP A. */
2139 (for cmp (tcc_comparison)
2140 scmp (swapped_tcc_comparison)
2142 (cmp (negate @0) (negate @1))
2143 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
2144 || (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
2145 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0))))
2148 (cmp (negate @0) CONSTANT_CLASS_P@1)
2149 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
2150 || (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
2151 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0))))
2152 (with { tree tem = const_unop (NEGATE_EXPR, TREE_TYPE (@0), @1); }
2153 (if (tem && !TREE_OVERFLOW (tem))
2154 (scmp @0 { tem; }))))))
2156 /* Convert ABS_EXPR<x> == 0 or ABS_EXPR<x> != 0 to x == 0 or x != 0. */
2159 (op (abs @0) zerop@1)
2162 /* From fold_sign_changed_comparison and fold_widened_comparison. */
2163 (for cmp (simple_comparison)
2165 (cmp (convert@0 @00) (convert?@1 @10))
2166 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
2167 /* Disable this optimization if we're casting a function pointer
2168 type on targets that require function pointer canonicalization. */
2169 && !(targetm.have_canonicalize_funcptr_for_compare ()
2170 && TREE_CODE (TREE_TYPE (@00)) == POINTER_TYPE
2171 && TREE_CODE (TREE_TYPE (TREE_TYPE (@00))) == FUNCTION_TYPE)
2173 (if (TYPE_PRECISION (TREE_TYPE (@00)) == TYPE_PRECISION (TREE_TYPE (@0))
2174 && (TREE_CODE (@10) == INTEGER_CST
2175 || (@1 != @10 && types_match (TREE_TYPE (@10), TREE_TYPE (@00))))
2176 && (TYPE_UNSIGNED (TREE_TYPE (@00)) == TYPE_UNSIGNED (TREE_TYPE (@0))
2179 && (POINTER_TYPE_P (TREE_TYPE (@00)) == POINTER_TYPE_P (TREE_TYPE (@0))))
2180 /* ??? The special-casing of INTEGER_CST conversion was in the original
2181 code and here to avoid a spurious overflow flag on the resulting
2182 constant which fold_convert produces. */
2183 (if (TREE_CODE (@1) == INTEGER_CST)
2184 (cmp @00 { force_fit_type (TREE_TYPE (@00), wi::to_widest (@1), 0,
2185 TREE_OVERFLOW (@1)); })
2186 (cmp @00 (convert @1)))
2188 (if (TYPE_PRECISION (TREE_TYPE (@0)) > TYPE_PRECISION (TREE_TYPE (@00)))
2189 /* If possible, express the comparison in the shorter mode. */
2190 (if ((cmp == EQ_EXPR || cmp == NE_EXPR
2191 || TYPE_UNSIGNED (TREE_TYPE (@0)) == TYPE_UNSIGNED (TREE_TYPE (@00)))
2192 && (types_match (TREE_TYPE (@10), TREE_TYPE (@00))
2193 || ((TYPE_PRECISION (TREE_TYPE (@00))
2194 >= TYPE_PRECISION (TREE_TYPE (@10)))
2195 && (TYPE_UNSIGNED (TREE_TYPE (@00))
2196 == TYPE_UNSIGNED (TREE_TYPE (@10))))
2197 || (TREE_CODE (@10) == INTEGER_CST
2198 && INTEGRAL_TYPE_P (TREE_TYPE (@00))
2199 && int_fits_type_p (@10, TREE_TYPE (@00)))))
2200 (cmp @00 (convert @10))
2201 (if (TREE_CODE (@10) == INTEGER_CST
2202 && INTEGRAL_TYPE_P (TREE_TYPE (@00))
2203 && !int_fits_type_p (@10, TREE_TYPE (@00)))
2206 tree min = lower_bound_in_type (TREE_TYPE (@10), TREE_TYPE (@00));
2207 tree max = upper_bound_in_type (TREE_TYPE (@10), TREE_TYPE (@00));
2208 bool above = integer_nonzerop (const_binop (LT_EXPR, type, max, @10));
2209 bool below = integer_nonzerop (const_binop (LT_EXPR, type, @10, min));
2211 (if (above || below)
2212 (if (cmp == EQ_EXPR || cmp == NE_EXPR)
2213 { constant_boolean_node (cmp == EQ_EXPR ? false : true, type); }
2214 (if (cmp == LT_EXPR || cmp == LE_EXPR)
2215 { constant_boolean_node (above ? true : false, type); }
2216 (if (cmp == GT_EXPR || cmp == GE_EXPR)
2217 { constant_boolean_node (above ? false : true, type); }))))))))))))
2220 /* A local variable can never be pointed to by
2221 the default SSA name of an incoming parameter.
2222 SSA names are canonicalized to 2nd place. */
2224 (cmp addr@0 SSA_NAME@1)
2225 (if (SSA_NAME_IS_DEFAULT_DEF (@1)
2226 && TREE_CODE (SSA_NAME_VAR (@1)) == PARM_DECL)
2227 (with { tree base = get_base_address (TREE_OPERAND (@0, 0)); }
2228 (if (TREE_CODE (base) == VAR_DECL
2229 && auto_var_in_fn_p (base, current_function_decl))
2230 (if (cmp == NE_EXPR)
2231 { constant_boolean_node (true, type); }
2232 { constant_boolean_node (false, type); }))))))
2234 /* Equality compare simplifications from fold_binary */
2237 /* If we have (A | C) == D where C & ~D != 0, convert this into 0.
2238 Similarly for NE_EXPR. */
2240 (cmp (convert?@3 (bit_ior @0 INTEGER_CST@1)) INTEGER_CST@2)
2241 (if (tree_nop_conversion_p (TREE_TYPE (@3), TREE_TYPE (@0))
2242 && wi::bit_and_not (@1, @2) != 0)
2243 { constant_boolean_node (cmp == NE_EXPR, type); }))
2245 /* (X ^ Y) == 0 becomes X == Y, and (X ^ Y) != 0 becomes X != Y. */
2247 (cmp (bit_xor @0 @1) integer_zerop)
2250 /* (X ^ Y) == Y becomes X == 0.
2251 Likewise (X ^ Y) == X becomes Y == 0. */
2253 (cmp:c (bit_xor:c @0 @1) @0)
2254 (cmp @1 { build_zero_cst (TREE_TYPE (@1)); }))
2256 /* (X ^ C1) op C2 can be rewritten as X op (C1 ^ C2). */
2258 (cmp (convert?@3 (bit_xor @0 INTEGER_CST@1)) INTEGER_CST@2)
2259 (if (tree_nop_conversion_p (TREE_TYPE (@3), TREE_TYPE (@0)))
2260 (cmp @0 (bit_xor @1 (convert @2)))))
2263 (cmp (convert? addr@0) integer_zerop)
2264 (if (tree_single_nonzero_warnv_p (@0, NULL))
2265 { constant_boolean_node (cmp == NE_EXPR, type); })))
2267 /* If we have (A & C) == C where C is a power of 2, convert this into
2268 (A & C) != 0. Similarly for NE_EXPR. */
2272 (cmp (bit_and@2 @0 integer_pow2p@1) @1)
2273 (icmp @2 { build_zero_cst (TREE_TYPE (@0)); })))
2275 /* If we have (A & C) != 0 where C is the sign bit of A, convert
2276 this into A < 0. Similarly for (A & C) == 0 into A >= 0. */
2280 (cmp (bit_and (convert?@2 @0) integer_pow2p@1) integer_zerop)
2281 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
2282 && (TYPE_PRECISION (TREE_TYPE (@0))
2283 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
2284 && element_precision (@2) >= element_precision (@0)
2285 && wi::only_sign_bit_p (@1, element_precision (@0)))
2286 (with { tree stype = signed_type_for (TREE_TYPE (@0)); }
2287 (ncmp (convert:stype @0) { build_zero_cst (stype); })))))
2289 /* When the addresses are not directly of decls compare base and offset.
2290 This implements some remaining parts of fold_comparison address
2291 comparisons but still no complete part of it. Still it is good
2292 enough to make fold_stmt not regress when not dispatching to fold_binary. */
2293 (for cmp (simple_comparison)
2295 (cmp (convert1?@2 addr@0) (convert2? addr@1))
2298 HOST_WIDE_INT off0, off1;
2299 tree base0 = get_addr_base_and_unit_offset (TREE_OPERAND (@0, 0), &off0);
2300 tree base1 = get_addr_base_and_unit_offset (TREE_OPERAND (@1, 0), &off1);
2301 if (base0 && TREE_CODE (base0) == MEM_REF)
2303 off0 += mem_ref_offset (base0).to_short_addr ();
2304 base0 = TREE_OPERAND (base0, 0);
2306 if (base1 && TREE_CODE (base1) == MEM_REF)
2308 off1 += mem_ref_offset (base1).to_short_addr ();
2309 base1 = TREE_OPERAND (base1, 0);
2312 (if (base0 && base1)
2316 if (decl_in_symtab_p (base0)
2317 && decl_in_symtab_p (base1))
2318 equal = symtab_node::get_create (base0)
2319 ->equal_address_to (symtab_node::get_create (base1));
2320 else if ((DECL_P (base0)
2321 || TREE_CODE (base0) == SSA_NAME
2322 || TREE_CODE (base0) == STRING_CST)
2324 || TREE_CODE (base1) == SSA_NAME
2325 || TREE_CODE (base1) == STRING_CST))
2326 equal = (base0 == base1);
2329 && (cmp == EQ_EXPR || cmp == NE_EXPR
2330 /* If the offsets are equal we can ignore overflow. */
2332 || POINTER_TYPE_OVERFLOW_UNDEFINED
2333 /* Or if we compare using pointers to decls or strings. */
2334 || (POINTER_TYPE_P (TREE_TYPE (@2))
2335 && (DECL_P (base0) || TREE_CODE (base0) == STRING_CST))))
2337 (if (cmp == EQ_EXPR)
2338 { constant_boolean_node (off0 == off1, type); })
2339 (if (cmp == NE_EXPR)
2340 { constant_boolean_node (off0 != off1, type); })
2341 (if (cmp == LT_EXPR)
2342 { constant_boolean_node (off0 < off1, type); })
2343 (if (cmp == LE_EXPR)
2344 { constant_boolean_node (off0 <= off1, type); })
2345 (if (cmp == GE_EXPR)
2346 { constant_boolean_node (off0 >= off1, type); })
2347 (if (cmp == GT_EXPR)
2348 { constant_boolean_node (off0 > off1, type); }))
2350 && DECL_P (base0) && DECL_P (base1)
2351 /* If we compare this as integers require equal offset. */
2352 && (!INTEGRAL_TYPE_P (TREE_TYPE (@2))
2355 (if (cmp == EQ_EXPR)
2356 { constant_boolean_node (false, type); })
2357 (if (cmp == NE_EXPR)
2358 { constant_boolean_node (true, type); })))))))))
2360 /* Non-equality compare simplifications from fold_binary */
2361 (for cmp (lt gt le ge)
2362 /* Comparisons with the highest or lowest possible integer of
2363 the specified precision will have known values. */
2365 (cmp (convert?@2 @0) INTEGER_CST@1)
2366 (if ((INTEGRAL_TYPE_P (TREE_TYPE (@1)) || POINTER_TYPE_P (TREE_TYPE (@1)))
2367 && tree_nop_conversion_p (TREE_TYPE (@2), TREE_TYPE (@0)))
2370 tree arg1_type = TREE_TYPE (@1);
2371 unsigned int prec = TYPE_PRECISION (arg1_type);
2372 wide_int max = wi::max_value (arg1_type);
2373 wide_int signed_max = wi::max_value (prec, SIGNED);
2374 wide_int min = wi::min_value (arg1_type);
2377 (if (wi::eq_p (@1, max))
2379 (if (cmp == GT_EXPR)
2380 { constant_boolean_node (false, type); })
2381 (if (cmp == GE_EXPR)
2383 (if (cmp == LE_EXPR)
2384 { constant_boolean_node (true, type); })
2385 (if (cmp == LT_EXPR)
2387 (if (wi::eq_p (@1, min))
2389 (if (cmp == LT_EXPR)
2390 { constant_boolean_node (false, type); })
2391 (if (cmp == LE_EXPR)
2393 (if (cmp == GE_EXPR)
2394 { constant_boolean_node (true, type); })
2395 (if (cmp == GT_EXPR)
2397 (if (wi::eq_p (@1, max - 1))
2399 (if (cmp == GT_EXPR)
2400 (eq @2 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))
2401 (if (cmp == LE_EXPR)
2402 (ne @2 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))))
2403 (if (wi::eq_p (@1, min + 1))
2405 (if (cmp == GE_EXPR)
2406 (ne @2 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))
2407 (if (cmp == LT_EXPR)
2408 (eq @2 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))))
2409 (if (wi::eq_p (@1, signed_max)
2410 && TYPE_UNSIGNED (arg1_type)
2411 /* We will flip the signedness of the comparison operator
2412 associated with the mode of @1, so the sign bit is
2413 specified by this mode. Check that @1 is the signed
2414 max associated with this sign bit. */
2415 && prec == GET_MODE_PRECISION (TYPE_MODE (arg1_type))
2416 /* signed_type does not work on pointer types. */
2417 && INTEGRAL_TYPE_P (arg1_type))
2418 /* The following case also applies to X < signed_max+1
2419 and X >= signed_max+1 because previous transformations. */
2420 (if (cmp == LE_EXPR || cmp == GT_EXPR)
2421 (with { tree st = signed_type_for (arg1_type); }
2422 (if (cmp == LE_EXPR)
2423 (ge (convert:st @0) { build_zero_cst (st); })
2424 (lt (convert:st @0) { build_zero_cst (st); }))))))))))
2426 (for cmp (unordered ordered unlt unle ungt unge uneq ltgt)
2427 /* If the second operand is NaN, the result is constant. */
2430 (if (REAL_VALUE_ISNAN (TREE_REAL_CST (@1))
2431 && (cmp != LTGT_EXPR || ! flag_trapping_math))
2432 { constant_boolean_node (cmp == ORDERED_EXPR || cmp == LTGT_EXPR
2433 ? false : true, type); })))
2435 /* bool_var != 0 becomes bool_var. */
2437 (ne @0 integer_zerop)
2438 (if (TREE_CODE (TREE_TYPE (@0)) == BOOLEAN_TYPE
2439 && types_match (type, TREE_TYPE (@0)))
2441 /* bool_var == 1 becomes bool_var. */
2443 (eq @0 integer_onep)
2444 (if (TREE_CODE (TREE_TYPE (@0)) == BOOLEAN_TYPE
2445 && types_match (type, TREE_TYPE (@0)))
2448 bool_var == 0 becomes !bool_var or
2449 bool_var != 1 becomes !bool_var
2450 here because that only is good in assignment context as long
2451 as we require a tcc_comparison in GIMPLE_CONDs where we'd
2452 replace if (x == 0) with tem = ~x; if (tem != 0) which is
2453 clearly less optimal and which we'll transform again in forwprop. */
2456 /* Simplification of math builtins. These rules must all be optimizations
2457 as well as IL simplifications. If there is a possibility that the new
2458 form could be a pessimization, the rule should go in the canonicalization
2459 section that follows this one.
2461 Rules can generally go in this section if they satisfy one of
2464 - the rule describes an identity
2466 - the rule replaces calls with something as simple as addition or
2469 - the rule contains unary calls only and simplifies the surrounding
2470 arithmetic. (The idea here is to exclude non-unary calls in which
2471 one operand is constant and in which the call is known to be cheap
2472 when the operand has that value.) */
2474 (if (flag_unsafe_math_optimizations)
2475 /* Simplify sqrt(x) * sqrt(x) -> x. */
2477 (mult (SQRT@1 @0) @1)
2478 (if (!HONOR_SNANS (type))
2481 /* Simplify sqrt(x) * sqrt(y) -> sqrt(x*y). */
2482 (for root (SQRT CBRT)
2484 (mult (root:s @0) (root:s @1))
2485 (root (mult @0 @1))))
2487 /* Simplify expN(x) * expN(y) -> expN(x+y). */
2488 (for exps (EXP EXP2 EXP10 POW10)
2490 (mult (exps:s @0) (exps:s @1))
2491 (exps (plus @0 @1))))
2493 /* Simplify a/root(b/c) into a*root(c/b). */
2494 (for root (SQRT CBRT)
2496 (rdiv @0 (root:s (rdiv:s @1 @2)))
2497 (mult @0 (root (rdiv @2 @1)))))
2499 /* Simplify x/expN(y) into x*expN(-y). */
2500 (for exps (EXP EXP2 EXP10 POW10)
2502 (rdiv @0 (exps:s @1))
2503 (mult @0 (exps (negate @1)))))
2505 (for logs (LOG LOG2 LOG10 LOG10)
2506 exps (EXP EXP2 EXP10 POW10)
2507 /* logN(expN(x)) -> x. */
2511 /* expN(logN(x)) -> x. */
2516 /* Optimize logN(func()) for various exponential functions. We
2517 want to determine the value "x" and the power "exponent" in
2518 order to transform logN(x**exponent) into exponent*logN(x). */
2519 (for logs (LOG LOG LOG LOG2 LOG2 LOG2 LOG10 LOG10)
2520 exps (EXP2 EXP10 POW10 EXP EXP10 POW10 EXP EXP2)
2523 (if (SCALAR_FLOAT_TYPE_P (type))
2529 /* Prepare to do logN(exp(exponent)) -> exponent*logN(e). */
2530 x = build_real_truncate (type, dconst_e ());
2533 /* Prepare to do logN(exp2(exponent)) -> exponent*logN(2). */
2534 x = build_real (type, dconst2);
2538 /* Prepare to do logN(exp10(exponent)) -> exponent*logN(10). */
2540 REAL_VALUE_TYPE dconst10;
2541 real_from_integer (&dconst10, VOIDmode, 10, SIGNED);
2542 x = build_real (type, dconst10);
2549 (mult (logs { x; }) @0)))))
2557 (if (SCALAR_FLOAT_TYPE_P (type))
2563 /* Prepare to do logN(sqrt(x)) -> 0.5*logN(x). */
2564 x = build_real (type, dconsthalf);
2567 /* Prepare to do logN(cbrt(x)) -> (1/3)*logN(x). */
2568 x = build_real_truncate (type, dconst_third ());
2574 (mult { x; } (logs @0))))))
2576 /* logN(pow(x,exponent)) -> exponent*logN(x). */
2577 (for logs (LOG LOG2 LOG10)
2581 (mult @1 (logs @0))))
2586 exps (EXP EXP2 EXP10 POW10)
2587 /* sqrt(expN(x)) -> expN(x*0.5). */
2590 (exps (mult @0 { build_real (type, dconsthalf); })))
2591 /* cbrt(expN(x)) -> expN(x/3). */
2594 (exps (mult @0 { build_real_truncate (type, dconst_third ()); })))
2595 /* pow(expN(x), y) -> expN(x*y). */
2598 (exps (mult @0 @1))))
2600 /* tan(atan(x)) -> x. */
2607 /* cabs(x+0i) or cabs(0+xi) -> abs(x). */
2609 (CABS (complex:c @0 real_zerop@1))
2612 /* trunc(trunc(x)) -> trunc(x), etc. */
2613 (for fns (TRUNC FLOOR CEIL ROUND NEARBYINT RINT)
2617 /* f(x) -> x if x is integer valued and f does nothing for such values. */
2618 (for fns (TRUNC FLOOR CEIL ROUND NEARBYINT RINT)
2620 (fns integer_valued_real_p@0)
2623 /* hypot(x,0) and hypot(0,x) -> abs(x). */
2625 (HYPOT:c @0 real_zerop@1)
2628 /* pow(1,x) -> 1. */
2630 (POW real_onep@0 @1)
2634 /* copysign(x,x) -> x. */
2639 /* copysign(x,y) -> fabs(x) if y is nonnegative. */
2640 (COPYSIGN @0 tree_expr_nonnegative_p@1)
2643 (for scale (LDEXP SCALBN SCALBLN)
2644 /* ldexp(0, x) -> 0. */
2646 (scale real_zerop@0 @1)
2648 /* ldexp(x, 0) -> x. */
2650 (scale @0 integer_zerop@1)
2652 /* ldexp(x, y) -> x if x is +-Inf or NaN. */
2654 (scale REAL_CST@0 @1)
2655 (if (!real_isfinite (TREE_REAL_CST_PTR (@0)))
2658 /* Canonicalization of sequences of math builtins. These rules represent
2659 IL simplifications but are not necessarily optimizations.
2661 The sincos pass is responsible for picking "optimal" implementations
2662 of math builtins, which may be more complicated and can sometimes go
2663 the other way, e.g. converting pow into a sequence of sqrts.
2664 We only want to do these canonicalizations before the pass has run. */
2666 (if (flag_unsafe_math_optimizations && canonicalize_math_p ())
2667 /* Simplify tan(x) * cos(x) -> sin(x). */
2669 (mult:c (TAN:s @0) (COS:s @0))
2672 /* Simplify x * pow(x,c) -> pow(x,c+1). */
2674 (mult @0 (POW:s @0 REAL_CST@1))
2675 (if (!TREE_OVERFLOW (@1))
2676 (POW @0 (plus @1 { build_one_cst (type); }))))
2678 /* Simplify sin(x) / cos(x) -> tan(x). */
2680 (rdiv (SIN:s @0) (COS:s @0))
2683 /* Simplify cos(x) / sin(x) -> 1 / tan(x). */
2685 (rdiv (COS:s @0) (SIN:s @0))
2686 (rdiv { build_one_cst (type); } (TAN @0)))
2688 /* Simplify sin(x) / tan(x) -> cos(x). */
2690 (rdiv (SIN:s @0) (TAN:s @0))
2691 (if (! HONOR_NANS (@0)
2692 && ! HONOR_INFINITIES (@0))
2695 /* Simplify tan(x) / sin(x) -> 1.0 / cos(x). */
2697 (rdiv (TAN:s @0) (SIN:s @0))
2698 (if (! HONOR_NANS (@0)
2699 && ! HONOR_INFINITIES (@0))
2700 (rdiv { build_one_cst (type); } (COS @0))))
2702 /* Simplify pow(x,y) * pow(x,z) -> pow(x,y+z). */
2704 (mult (POW:s @0 @1) (POW:s @0 @2))
2705 (POW @0 (plus @1 @2)))
2707 /* Simplify pow(x,y) * pow(z,y) -> pow(x*z,y). */
2709 (mult (POW:s @0 @1) (POW:s @2 @1))
2710 (POW (mult @0 @2) @1))
2712 /* Simplify pow(x,c) / x -> pow(x,c-1). */
2714 (rdiv (POW:s @0 REAL_CST@1) @0)
2715 (if (!TREE_OVERFLOW (@1))
2716 (POW @0 (minus @1 { build_one_cst (type); }))))
2718 /* Simplify x / pow (y,z) -> x * pow(y,-z). */
2720 (rdiv @0 (POW:s @1 @2))
2721 (mult @0 (POW @1 (negate @2))))
2726 /* sqrt(sqrt(x)) -> pow(x,1/4). */
2729 (pows @0 { build_real (type, dconst_quarter ()); }))
2730 /* sqrt(cbrt(x)) -> pow(x,1/6). */
2733 (pows @0 { build_real_truncate (type, dconst_sixth ()); }))
2734 /* cbrt(sqrt(x)) -> pow(x,1/6). */
2737 (pows @0 { build_real_truncate (type, dconst_sixth ()); }))
2738 /* cbrt(cbrt(x)) -> pow(x,1/9), iff x is nonnegative. */
2740 (cbrts (cbrts tree_expr_nonnegative_p@0))
2741 (pows @0 { build_real_truncate (type, dconst_ninth ()); }))
2742 /* sqrt(pow(x,y)) -> pow(|x|,y*0.5). */
2744 (sqrts (pows @0 @1))
2745 (pows (abs @0) (mult @1 { build_real (type, dconsthalf); })))
2746 /* cbrt(pow(x,y)) -> pow(x,y/3), iff x is nonnegative. */
2748 (cbrts (pows tree_expr_nonnegative_p@0 @1))
2749 (pows @0 (mult @1 { build_real_truncate (type, dconst_third ()); })))
2750 /* pow(sqrt(x),y) -> pow(x,y*0.5). */
2752 (pows (sqrts @0) @1)
2753 (pows @0 (mult @1 { build_real (type, dconsthalf); })))
2754 /* pow(cbrt(x),y) -> pow(x,y/3) iff x is nonnegative. */
2756 (pows (cbrts tree_expr_nonnegative_p@0) @1)
2757 (pows @0 (mult @1 { build_real_truncate (type, dconst_third ()); })))
2758 /* pow(pow(x,y),z) -> pow(x,y*z) iff x is nonnegative. */
2760 (pows (pows tree_expr_nonnegative_p@0 @1) @2)
2761 (pows @0 (mult @1 @2))))
2763 /* cabs(x+xi) -> fabs(x)*sqrt(2). */
2765 (CABS (complex @0 @0))
2766 (mult (abs @0) { build_real_truncate (type, dconst_sqrt2 ()); }))
2768 /* hypot(x,x) -> fabs(x)*sqrt(2). */
2771 (mult (abs @0) { build_real_truncate (type, dconst_sqrt2 ()); }))
2773 /* cexp(x+yi) -> exp(x)*cexpi(y). */
2778 (cexps compositional_complex@0)
2779 (if (targetm.libc_has_function (function_c99_math_complex))
2781 (mult (exps@1 (realpart @0)) (realpart (cexpis:type@2 (imagpart @0))))
2782 (mult @1 (imagpart @2)))))))
2784 (if (canonicalize_math_p ())
2785 /* floor(x) -> trunc(x) if x is nonnegative. */
2789 (floors tree_expr_nonnegative_p@0)
2792 (match double_value_p
2794 (if (TYPE_MAIN_VARIANT (TREE_TYPE (@0)) == double_type_node)))
2795 (for froms (BUILT_IN_TRUNCL
2807 /* truncl(extend(x)) -> extend(trunc(x)), etc., if x is a double. */
2808 (if (optimize && canonicalize_math_p ())
2810 (froms (convert double_value_p@0))
2811 (convert (tos @0)))))
2813 (match float_value_p
2815 (if (TYPE_MAIN_VARIANT (TREE_TYPE (@0)) == float_type_node)))
2816 (for froms (BUILT_IN_TRUNCL BUILT_IN_TRUNC
2817 BUILT_IN_FLOORL BUILT_IN_FLOOR
2818 BUILT_IN_CEILL BUILT_IN_CEIL
2819 BUILT_IN_ROUNDL BUILT_IN_ROUND
2820 BUILT_IN_NEARBYINTL BUILT_IN_NEARBYINT
2821 BUILT_IN_RINTL BUILT_IN_RINT)
2822 tos (BUILT_IN_TRUNCF BUILT_IN_TRUNCF
2823 BUILT_IN_FLOORF BUILT_IN_FLOORF
2824 BUILT_IN_CEILF BUILT_IN_CEILF
2825 BUILT_IN_ROUNDF BUILT_IN_ROUNDF
2826 BUILT_IN_NEARBYINTF BUILT_IN_NEARBYINTF
2827 BUILT_IN_RINTF BUILT_IN_RINTF)
2828 /* truncl(extend(x)) and trunc(extend(x)) -> extend(truncf(x)), etc.,
2830 (if (optimize && canonicalize_math_p ()
2831 && targetm.libc_has_function (function_c99_misc))
2833 (froms (convert float_value_p@0))
2834 (convert (tos @0)))))
2836 (for froms (XFLOORL XCEILL XROUNDL XRINTL)
2837 tos (XFLOOR XCEIL XROUND XRINT)
2838 /* llfloorl(extend(x)) -> llfloor(x), etc., if x is a double. */
2839 (if (optimize && canonicalize_math_p ())
2841 (froms (convert double_value_p@0))
2844 (for froms (XFLOORL XCEILL XROUNDL XRINTL
2845 XFLOOR XCEIL XROUND XRINT)
2846 tos (XFLOORF XCEILF XROUNDF XRINTF)
2847 /* llfloorl(extend(x)) and llfloor(extend(x)) -> llfloorf(x), etc.,
2849 (if (optimize && canonicalize_math_p ())
2851 (froms (convert float_value_p@0))
2854 (if (canonicalize_math_p ())
2855 /* xfloor(x) -> fix_trunc(x) if x is nonnegative. */
2856 (for floors (IFLOOR LFLOOR LLFLOOR)
2858 (floors tree_expr_nonnegative_p@0)
2861 (if (canonicalize_math_p ())
2862 /* xfloor(x) -> fix_trunc(x), etc., if x is integer valued. */
2863 (for fns (IFLOOR LFLOOR LLFLOOR
2865 IROUND LROUND LLROUND)
2867 (fns integer_valued_real_p@0)
2869 (if (!flag_errno_math)
2870 /* xrint(x) -> fix_trunc(x), etc., if x is integer valued. */
2871 (for rints (IRINT LRINT LLRINT)
2873 (rints integer_valued_real_p@0)
2876 (if (canonicalize_math_p ())
2877 (for ifn (IFLOOR ICEIL IROUND IRINT)
2878 lfn (LFLOOR LCEIL LROUND LRINT)
2879 llfn (LLFLOOR LLCEIL LLROUND LLRINT)
2880 /* Canonicalize iround (x) to lround (x) on ILP32 targets where
2881 sizeof (int) == sizeof (long). */
2882 (if (TYPE_PRECISION (integer_type_node)
2883 == TYPE_PRECISION (long_integer_type_node))
2886 (lfn:long_integer_type_node @0)))
2887 /* Canonicalize llround (x) to lround (x) on LP64 targets where
2888 sizeof (long long) == sizeof (long). */
2889 (if (TYPE_PRECISION (long_long_integer_type_node)
2890 == TYPE_PRECISION (long_integer_type_node))
2893 (lfn:long_integer_type_node @0)))))
2895 /* cproj(x) -> x if we're ignoring infinities. */
2898 (if (!HONOR_INFINITIES (type))
2901 /* If the real part is inf and the imag part is known to be
2902 nonnegative, return (inf + 0i). */
2904 (CPROJ (complex REAL_CST@0 tree_expr_nonnegative_p@1))
2905 (if (real_isinf (TREE_REAL_CST_PTR (@0)))
2906 { build_complex_inf (type, false); }))
2908 /* If the imag part is inf, return (inf+I*copysign(0,imag)). */
2910 (CPROJ (complex @0 REAL_CST@1))
2911 (if (real_isinf (TREE_REAL_CST_PTR (@1)))
2912 { build_complex_inf (type, TREE_REAL_CST_PTR (@1)->sign); }))
2918 (pows @0 REAL_CST@1)
2920 const REAL_VALUE_TYPE *value = TREE_REAL_CST_PTR (@1);
2921 REAL_VALUE_TYPE tmp;
2924 /* pow(x,0) -> 1. */
2925 (if (real_equal (value, &dconst0))
2926 { build_real (type, dconst1); })
2927 /* pow(x,1) -> x. */
2928 (if (real_equal (value, &dconst1))
2930 /* pow(x,-1) -> 1/x. */
2931 (if (real_equal (value, &dconstm1))
2932 (rdiv { build_real (type, dconst1); } @0))
2933 /* pow(x,0.5) -> sqrt(x). */
2934 (if (flag_unsafe_math_optimizations
2935 && canonicalize_math_p ()
2936 && real_equal (value, &dconsthalf))
2938 /* pow(x,1/3) -> cbrt(x). */
2939 (if (flag_unsafe_math_optimizations
2940 && canonicalize_math_p ()
2941 && (tmp = real_value_truncate (TYPE_MODE (type), dconst_third ()),
2942 real_equal (value, &tmp)))
2945 /* powi(1,x) -> 1. */
2947 (POWI real_onep@0 @1)
2951 (POWI @0 INTEGER_CST@1)
2953 /* powi(x,0) -> 1. */
2954 (if (wi::eq_p (@1, 0))
2955 { build_real (type, dconst1); })
2956 /* powi(x,1) -> x. */
2957 (if (wi::eq_p (@1, 1))
2959 /* powi(x,-1) -> 1/x. */
2960 (if (wi::eq_p (@1, -1))
2961 (rdiv { build_real (type, dconst1); } @0))))
2963 /* Narrowing of arithmetic and logical operations.
2965 These are conceptually similar to the transformations performed for
2966 the C/C++ front-ends by shorten_binary_op and shorten_compare. Long
2967 term we want to move all that code out of the front-ends into here. */
2969 /* If we have a narrowing conversion of an arithmetic operation where
2970 both operands are widening conversions from the same type as the outer
2971 narrowing conversion. Then convert the innermost operands to a suitable
2972 unsigned type (to avoid introducing undefined behavior), perform the
2973 operation and convert the result to the desired type. */
2974 (for op (plus minus)
2976 (convert (op:s (convert@2 @0) (convert@3 @1)))
2977 (if (INTEGRAL_TYPE_P (type)
2978 /* We check for type compatibility between @0 and @1 below,
2979 so there's no need to check that @1/@3 are integral types. */
2980 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
2981 && INTEGRAL_TYPE_P (TREE_TYPE (@2))
2982 /* The precision of the type of each operand must match the
2983 precision of the mode of each operand, similarly for the
2985 && (TYPE_PRECISION (TREE_TYPE (@0))
2986 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
2987 && (TYPE_PRECISION (TREE_TYPE (@1))
2988 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@1))))
2989 && TYPE_PRECISION (type) == GET_MODE_PRECISION (TYPE_MODE (type))
2990 /* The inner conversion must be a widening conversion. */
2991 && TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (TREE_TYPE (@0))
2992 && types_match (@0, @1)
2993 && types_match (@0, type))
2994 (if (TYPE_OVERFLOW_WRAPS (TREE_TYPE (@0)))
2995 (convert (op @0 @1))
2996 (with { tree utype = unsigned_type_for (TREE_TYPE (@0)); }
2997 (convert (op (convert:utype @0) (convert:utype @1))))))))
2999 /* This is another case of narrowing, specifically when there's an outer
3000 BIT_AND_EXPR which masks off bits outside the type of the innermost
3001 operands. Like the previous case we have to convert the operands
3002 to unsigned types to avoid introducing undefined behavior for the
3003 arithmetic operation. */
3004 (for op (minus plus)
3006 (bit_and (op:s (convert@2 @0) (convert@3 @1)) INTEGER_CST@4)
3007 (if (INTEGRAL_TYPE_P (type)
3008 /* We check for type compatibility between @0 and @1 below,
3009 so there's no need to check that @1/@3 are integral types. */
3010 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
3011 && INTEGRAL_TYPE_P (TREE_TYPE (@2))
3012 /* The precision of the type of each operand must match the
3013 precision of the mode of each operand, similarly for the
3015 && (TYPE_PRECISION (TREE_TYPE (@0))
3016 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
3017 && (TYPE_PRECISION (TREE_TYPE (@1))
3018 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@1))))
3019 && TYPE_PRECISION (type) == GET_MODE_PRECISION (TYPE_MODE (type))
3020 /* The inner conversion must be a widening conversion. */
3021 && TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (TREE_TYPE (@0))
3022 && types_match (@0, @1)
3023 && (tree_int_cst_min_precision (@4, TYPE_SIGN (TREE_TYPE (@0)))
3024 <= TYPE_PRECISION (TREE_TYPE (@0)))
3025 && (wi::bit_and (@4, wi::mask (TYPE_PRECISION (TREE_TYPE (@0)),
3026 true, TYPE_PRECISION (type))) == 0))
3027 (if (TYPE_OVERFLOW_WRAPS (TREE_TYPE (@0)))
3028 (with { tree ntype = TREE_TYPE (@0); }
3029 (convert (bit_and (op @0 @1) (convert:ntype @4))))
3030 (with { tree utype = unsigned_type_for (TREE_TYPE (@0)); }
3031 (convert (bit_and (op (convert:utype @0) (convert:utype @1))
3032 (convert:utype @4))))))))
3034 /* Transform (@0 < @1 and @0 < @2) to use min,
3035 (@0 > @1 and @0 > @2) to use max */
3036 (for op (lt le gt ge)
3037 ext (min min max max)
3039 (bit_and (op:s @0 @1) (op:s @0 @2))
3040 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0)))
3041 (op @0 (ext @1 @2)))))
3044 /* signbit(x) -> 0 if x is nonnegative. */
3045 (SIGNBIT tree_expr_nonnegative_p@0)
3046 { integer_zero_node; })
3049 /* signbit(x) -> x<0 if x doesn't have signed zeros. */
3051 (if (!HONOR_SIGNED_ZEROS (@0))
3052 (convert (lt @0 { build_real (TREE_TYPE (@0), dconst0); }))))