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) 2014-2015 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
38 (define_operator_list tcc_comparison
39 lt le eq ne ge gt unordered ordered unlt unle ungt unge uneq ltgt)
40 (define_operator_list inverted_tcc_comparison
41 ge gt ne eq lt le ordered unordered ge gt le lt ltgt uneq)
42 (define_operator_list inverted_tcc_comparison_with_nans
43 unge ungt ne eq unlt unle ordered unordered ge gt le lt ltgt uneq)
44 (define_operator_list swapped_tcc_comparison
45 gt ge eq ne le lt unordered ordered ungt unge unlt unle uneq ltgt)
46 (define_operator_list simple_comparison lt le eq ne ge gt)
47 (define_operator_list swapped_simple_comparison gt ge eq ne le lt)
49 (define_operator_list LOG BUILT_IN_LOGF BUILT_IN_LOG BUILT_IN_LOGL)
50 (define_operator_list EXP BUILT_IN_EXPF BUILT_IN_EXP BUILT_IN_EXPL)
51 (define_operator_list LOG2 BUILT_IN_LOG2F BUILT_IN_LOG2 BUILT_IN_LOG2L)
52 (define_operator_list EXP2 BUILT_IN_EXP2F BUILT_IN_EXP2 BUILT_IN_EXP2L)
53 (define_operator_list LOG10 BUILT_IN_LOG10F BUILT_IN_LOG10 BUILT_IN_LOG10L)
54 (define_operator_list EXP10 BUILT_IN_EXP10F BUILT_IN_EXP10 BUILT_IN_EXP10L)
55 (define_operator_list POW BUILT_IN_POWF BUILT_IN_POW BUILT_IN_POWL)
56 (define_operator_list POW10 BUILT_IN_POW10F BUILT_IN_POW10 BUILT_IN_POW10L)
57 (define_operator_list SQRT BUILT_IN_SQRTF BUILT_IN_SQRT BUILT_IN_SQRTL)
58 (define_operator_list CBRT BUILT_IN_CBRTF BUILT_IN_CBRT BUILT_IN_CBRTL)
59 (define_operator_list SIN BUILT_IN_SINF BUILT_IN_SIN BUILT_IN_SINL)
60 (define_operator_list COS BUILT_IN_COSF BUILT_IN_COS BUILT_IN_COSL)
61 (define_operator_list TAN BUILT_IN_TANF BUILT_IN_TAN BUILT_IN_TANL)
62 (define_operator_list COSH BUILT_IN_COSHF BUILT_IN_COSH BUILT_IN_COSHL)
63 (define_operator_list CEXPI BUILT_IN_CEXPIF BUILT_IN_CEXPI BUILT_IN_CEXPIL)
65 /* Simplifications of operations with one constant operand and
66 simplifications to constants or single values. */
68 (for op (plus pointer_plus minus bit_ior bit_xor)
73 /* 0 +p index -> (type)index */
75 (pointer_plus integer_zerop @1)
76 (non_lvalue (convert @1)))
78 /* See if ARG1 is zero and X + ARG1 reduces to X.
79 Likewise if the operands are reversed. */
81 (plus:c @0 real_zerop@1)
82 (if (fold_real_zero_addition_p (type, @1, 0))
85 /* See if ARG1 is zero and X - ARG1 reduces to X. */
87 (minus @0 real_zerop@1)
88 (if (fold_real_zero_addition_p (type, @1, 1))
92 This is unsafe for certain floats even in non-IEEE formats.
93 In IEEE, it is unsafe because it does wrong for NaNs.
94 Also note that operand_equal_p is always false if an operand
98 (if (!FLOAT_TYPE_P (type) || !HONOR_NANS (type))
99 { build_zero_cst (type); }))
102 (mult @0 integer_zerop@1)
105 /* Maybe fold x * 0 to 0. The expressions aren't the same
106 when x is NaN, since x * 0 is also NaN. Nor are they the
107 same in modes with signed zeros, since multiplying a
108 negative value by 0 gives -0, not +0. */
110 (mult @0 real_zerop@1)
111 (if (!HONOR_NANS (type) && !HONOR_SIGNED_ZEROS (type))
114 /* In IEEE floating point, x*1 is not equivalent to x for snans.
115 Likewise for complex arithmetic with signed zeros. */
118 (if (!HONOR_SNANS (type)
119 && (!HONOR_SIGNED_ZEROS (type)
120 || !COMPLEX_FLOAT_TYPE_P (type)))
123 /* Transform x * -1.0 into -x. */
125 (mult @0 real_minus_onep)
126 (if (!HONOR_SNANS (type)
127 && (!HONOR_SIGNED_ZEROS (type)
128 || !COMPLEX_FLOAT_TYPE_P (type)))
131 /* Make sure to preserve divisions by zero. This is the reason why
132 we don't simplify x / x to 1 or 0 / x to 0. */
133 (for op (mult trunc_div ceil_div floor_div round_div exact_div)
139 (for div (trunc_div ceil_div floor_div round_div exact_div)
141 (div @0 integer_minus_onep@1)
142 (if (!TYPE_UNSIGNED (type))
145 /* For unsigned integral types, FLOOR_DIV_EXPR is the same as
146 TRUNC_DIV_EXPR. Rewrite into the latter in this case. */
149 (if ((INTEGRAL_TYPE_P (type) || VECTOR_INTEGER_TYPE_P (type))
150 && TYPE_UNSIGNED (type))
153 /* Combine two successive divisions. Note that combining ceil_div
154 and floor_div is trickier and combining round_div even more so. */
155 (for div (trunc_div exact_div)
157 (div (div @0 INTEGER_CST@1) INTEGER_CST@2)
160 wide_int mul = wi::mul (@1, @2, TYPE_SIGN (type), &overflow_p);
163 (div @0 { wide_int_to_tree (type, mul); })
164 (if (TYPE_UNSIGNED (type)
165 || mul != wi::min_value (TYPE_PRECISION (type), SIGNED))
166 { build_zero_cst (type); })))))
168 /* Optimize A / A to 1.0 if we don't care about
169 NaNs or Infinities. */
172 (if (FLOAT_TYPE_P (type)
173 && ! HONOR_NANS (type)
174 && ! HONOR_INFINITIES (type))
175 { build_one_cst (type); }))
177 /* Optimize -A / A to -1.0 if we don't care about
178 NaNs or Infinities. */
180 (rdiv:c @0 (negate @0))
181 (if (FLOAT_TYPE_P (type)
182 && ! HONOR_NANS (type)
183 && ! HONOR_INFINITIES (type))
184 { build_minus_one_cst (type); }))
186 /* In IEEE floating point, x/1 is not equivalent to x for snans. */
189 (if (!HONOR_SNANS (type))
192 /* In IEEE floating point, x/-1 is not equivalent to -x for snans. */
194 (rdiv @0 real_minus_onep)
195 (if (!HONOR_SNANS (type))
198 /* If ARG1 is a constant, we can convert this to a multiply by the
199 reciprocal. This does not have the same rounding properties,
200 so only do this if -freciprocal-math. We can actually
201 always safely do it if ARG1 is a power of two, but it's hard to
202 tell if it is or not in a portable manner. */
203 (for cst (REAL_CST COMPLEX_CST VECTOR_CST)
207 (if (flag_reciprocal_math
210 { tree tem = const_binop (RDIV_EXPR, type, build_one_cst (type), @1); }
212 (mult @0 { tem; } )))
213 (if (cst != COMPLEX_CST)
214 (with { tree inverse = exact_inverse (type, @1); }
216 (mult @0 { inverse; } ))))))))
218 /* Same applies to modulo operations, but fold is inconsistent here
219 and simplifies 0 % x to 0, only preserving literal 0 % 0. */
220 (for mod (ceil_mod floor_mod round_mod trunc_mod)
221 /* 0 % X is always zero. */
223 (mod integer_zerop@0 @1)
224 /* But not for 0 % 0 so that we can get the proper warnings and errors. */
225 (if (!integer_zerop (@1))
227 /* X % 1 is always zero. */
229 (mod @0 integer_onep)
230 { build_zero_cst (type); })
231 /* X % -1 is zero. */
233 (mod @0 integer_minus_onep@1)
234 (if (!TYPE_UNSIGNED (type))
235 { build_zero_cst (type); }))
236 /* (X % Y) % Y is just X % Y. */
238 (mod (mod@2 @0 @1) @1)
240 /* From extract_muldiv_1: (X * C1) % C2 is zero if C1 is a multiple of C2. */
242 (mod (mult @0 INTEGER_CST@1) INTEGER_CST@2)
243 (if (ANY_INTEGRAL_TYPE_P (type)
244 && TYPE_OVERFLOW_UNDEFINED (type)
245 && wi::multiple_of_p (@1, @2, TYPE_SIGN (type)))
246 { build_zero_cst (type); })))
248 /* X % -C is the same as X % C. */
250 (trunc_mod @0 INTEGER_CST@1)
251 (if (TYPE_SIGN (type) == SIGNED
252 && !TREE_OVERFLOW (@1)
254 && !TYPE_OVERFLOW_TRAPS (type)
255 /* Avoid this transformation if C is INT_MIN, i.e. C == -C. */
256 && !sign_bit_p (@1, @1))
257 (trunc_mod @0 (negate @1))))
259 /* X % -Y is the same as X % Y. */
261 (trunc_mod @0 (convert? (negate @1)))
262 (if (!TYPE_UNSIGNED (type)
263 && !TYPE_OVERFLOW_TRAPS (type)
264 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
265 (trunc_mod @0 (convert @1))))
267 /* X - (X / Y) * Y is the same as X % Y. */
269 (minus (convert1? @0) (convert2? (mult (trunc_div @0 @1) @1)))
270 (if ((INTEGRAL_TYPE_P (type) || VECTOR_INTEGER_TYPE_P (type))
271 && TYPE_UNSIGNED (TREE_TYPE (@0)) == TYPE_UNSIGNED (type))
272 (trunc_mod (convert @0) (convert @1))))
274 /* Optimize TRUNC_MOD_EXPR by a power of two into a BIT_AND_EXPR,
275 i.e. "X % C" into "X & (C - 1)", if X and C are positive.
276 Also optimize A % (C << N) where C is a power of 2,
277 to A & ((C << N) - 1). */
278 (match (power_of_two_cand @1)
280 (match (power_of_two_cand @1)
281 (lshift INTEGER_CST@1 @2))
282 (for mod (trunc_mod floor_mod)
284 (mod @0 (convert?@3 (power_of_two_cand@1 @2)))
285 (if ((TYPE_UNSIGNED (type)
286 || tree_expr_nonnegative_p (@0))
287 && tree_nop_conversion_p (type, TREE_TYPE (@3))
288 && integer_pow2p (@2) && tree_int_cst_sgn (@2) > 0)
289 (bit_and @0 (convert (minus @1 { build_int_cst (TREE_TYPE (@1), 1); }))))))
291 /* Simplify (unsigned t * 2)/2 -> unsigned t & 0x7FFFFFFF. */
293 (trunc_div (mult @0 integer_pow2p@1) @1)
294 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
295 (bit_and @0 { wide_int_to_tree
296 (type, wi::mask (TYPE_PRECISION (type) - wi::exact_log2 (@1),
297 false, TYPE_PRECISION (type))); })))
299 /* Simplify (unsigned t / 2) * 2 -> unsigned t & ~1. */
301 (mult (trunc_div @0 integer_pow2p@1) @1)
302 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
303 (bit_and @0 (negate @1))))
305 /* Simplify (t * 2) / 2) -> t. */
306 (for div (trunc_div ceil_div floor_div round_div exact_div)
308 (div (mult @0 @1) @1)
309 (if (ANY_INTEGRAL_TYPE_P (type)
310 && TYPE_OVERFLOW_UNDEFINED (type))
314 /* Simplify cos(-x) and cos(|x|) -> cos(x). Similarly for cosh. */
319 /* Simplify pow(-x, y) and pow(|x|,y) -> pow(x,y) if y is an even integer. */
322 (pows (op @0) REAL_CST@1)
323 (with { HOST_WIDE_INT n; }
324 (if (real_isinteger (&TREE_REAL_CST (@1), &n) && (n & 1) == 0)
327 /* X % Y is smaller than Y. */
330 (cmp (trunc_mod @0 @1) @1)
331 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
332 { constant_boolean_node (cmp == LT_EXPR, type); })))
335 (cmp @1 (trunc_mod @0 @1))
336 (if (TYPE_UNSIGNED (TREE_TYPE (@0)))
337 { constant_boolean_node (cmp == GT_EXPR, type); })))
341 (bit_ior @0 integer_all_onesp@1)
346 (bit_and @0 integer_zerop@1)
352 (for op (bit_ior bit_xor plus)
354 (op:c (convert? @0) (convert? (bit_not @0)))
355 (convert { build_all_ones_cst (TREE_TYPE (@0)); })))
360 { build_zero_cst (type); })
362 /* Canonicalize X ^ ~0 to ~X. */
364 (bit_xor @0 integer_all_onesp@1)
369 (bit_and @0 integer_all_onesp)
372 /* x & x -> x, x | x -> x */
373 (for bitop (bit_and bit_ior)
378 /* x + (x & 1) -> (x + 1) & ~1 */
380 (plus:c @0 (bit_and:s @0 integer_onep@1))
381 (bit_and (plus @0 @1) (bit_not @1)))
383 /* x & ~(x & y) -> x & ~y */
384 /* x | ~(x | y) -> x | ~y */
385 (for bitop (bit_and bit_ior)
387 (bitop:c @0 (bit_not (bitop:cs @0 @1)))
388 (bitop @0 (bit_not @1))))
390 /* (x | y) & ~x -> y & ~x */
391 /* (x & y) | ~x -> y | ~x */
392 (for bitop (bit_and bit_ior)
393 rbitop (bit_ior bit_and)
395 (bitop:c (rbitop:c @0 @1) (bit_not@2 @0))
398 /* (x & y) ^ (x | y) -> x ^ y */
400 (bit_xor:c (bit_and @0 @1) (bit_ior @0 @1))
403 /* (x ^ y) ^ (x | y) -> x & y */
405 (bit_xor:c (bit_xor @0 @1) (bit_ior @0 @1))
408 /* (x & y) + (x ^ y) -> x | y */
409 /* (x & y) | (x ^ y) -> x | y */
410 /* (x & y) ^ (x ^ y) -> x | y */
411 (for op (plus bit_ior bit_xor)
413 (op:c (bit_and @0 @1) (bit_xor @0 @1))
416 /* (x & y) + (x | y) -> x + y */
418 (plus:c (bit_and @0 @1) (bit_ior @0 @1))
421 /* (x + y) - (x | y) -> x & y */
423 (minus (plus @0 @1) (bit_ior @0 @1))
424 (if (!TYPE_OVERFLOW_SANITIZED (type) && !TYPE_OVERFLOW_TRAPS (type)
425 && !TYPE_SATURATING (type))
428 /* (x + y) - (x & y) -> x | y */
430 (minus (plus @0 @1) (bit_and @0 @1))
431 (if (!TYPE_OVERFLOW_SANITIZED (type) && !TYPE_OVERFLOW_TRAPS (type)
432 && !TYPE_SATURATING (type))
435 /* (x | y) - (x ^ y) -> x & y */
437 (minus (bit_ior @0 @1) (bit_xor @0 @1))
440 /* (x | y) - (x & y) -> x ^ y */
442 (minus (bit_ior @0 @1) (bit_and @0 @1))
445 /* (x | y) & ~(x & y) -> x ^ y */
447 (bit_and:c (bit_ior @0 @1) (bit_not (bit_and @0 @1)))
450 /* (x | y) & (~x ^ y) -> x & y */
452 (bit_and:c (bit_ior:c @0 @1) (bit_xor:c @1 (bit_not @0)))
455 /* ~x & ~y -> ~(x | y)
456 ~x | ~y -> ~(x & y) */
457 (for op (bit_and bit_ior)
458 rop (bit_ior bit_and)
460 (op (convert1? (bit_not @0)) (convert2? (bit_not @1)))
461 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
462 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
463 (bit_not (rop (convert @0) (convert @1))))))
465 /* If we are XORing or adding two BIT_AND_EXPR's, both of which are and'ing
466 with a constant, and the two constants have no bits in common,
467 we should treat this as a BIT_IOR_EXPR since this may produce more
469 (for op (bit_xor plus)
471 (op (convert1? (bit_and@4 @0 INTEGER_CST@1))
472 (convert2? (bit_and@5 @2 INTEGER_CST@3)))
473 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
474 && tree_nop_conversion_p (type, TREE_TYPE (@2))
475 && wi::bit_and (@1, @3) == 0)
476 (bit_ior (convert @4) (convert @5)))))
478 /* (X | Y) ^ X -> Y & ~ X*/
480 (bit_xor:c (convert? (bit_ior:c @0 @1)) (convert? @0))
481 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
482 (convert (bit_and @1 (bit_not @0)))))
484 /* Convert ~X ^ ~Y to X ^ Y. */
486 (bit_xor (convert1? (bit_not @0)) (convert2? (bit_not @1)))
487 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
488 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
489 (bit_xor (convert @0) (convert @1))))
491 /* Convert ~X ^ C to X ^ ~C. */
493 (bit_xor (convert? (bit_not @0)) INTEGER_CST@1)
494 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
495 (bit_xor (convert @0) (bit_not @1))))
497 /* Fold (X & Y) ^ Y as ~X & Y. */
499 (bit_xor:c (bit_and:c @0 @1) @1)
500 (bit_and (bit_not @0) @1))
502 /* Given a bit-wise operation CODE applied to ARG0 and ARG1, see if both
503 operands are another bit-wise operation with a common input. If so,
504 distribute the bit operations to save an operation and possibly two if
505 constants are involved. For example, convert
506 (A | B) & (A | C) into A | (B & C)
507 Further simplification will occur if B and C are constants. */
508 (for op (bit_and bit_ior)
509 rop (bit_ior bit_and)
511 (op (convert? (rop:c @0 @1)) (convert? (rop @0 @2)))
512 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
513 (rop (convert @0) (op (convert @1) (convert @2))))))
523 (abs tree_expr_nonnegative_p@0)
526 /* A few cases of fold-const.c negate_expr_p predicate. */
529 (if ((INTEGRAL_TYPE_P (type)
530 && TYPE_OVERFLOW_WRAPS (type))
531 || (!TYPE_OVERFLOW_SANITIZED (type)
532 && may_negate_without_overflow_p (t)))))
537 (if (!TYPE_OVERFLOW_SANITIZED (type))))
540 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (t)))))
541 /* VECTOR_CST handling of non-wrapping types would recurse in unsupported
545 (if (FLOAT_TYPE_P (TREE_TYPE (type)) || TYPE_OVERFLOW_WRAPS (type))))
547 /* -(A + B) -> (-B) - A. */
549 (negate (plus:c @0 negate_expr_p@1))
550 (if (!HONOR_SIGN_DEPENDENT_ROUNDING (element_mode (type))
551 && !HONOR_SIGNED_ZEROS (element_mode (type)))
552 (minus (negate @1) @0)))
554 /* A - B -> A + (-B) if B is easily negatable. */
556 (minus @0 negate_expr_p@1)
557 (if (!FIXED_POINT_TYPE_P (type))
558 (plus @0 (negate @1))))
560 /* Try to fold (type) X op CST -> (type) (X op ((type-x) CST))
562 For bitwise binary operations apply operand conversions to the
563 binary operation result instead of to the operands. This allows
564 to combine successive conversions and bitwise binary operations.
565 We combine the above two cases by using a conditional convert. */
566 (for bitop (bit_and bit_ior bit_xor)
568 (bitop (convert @0) (convert? @1))
569 (if (((TREE_CODE (@1) == INTEGER_CST
570 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
571 && int_fits_type_p (@1, TREE_TYPE (@0)))
572 || types_match (@0, @1))
573 /* ??? This transform conflicts with fold-const.c doing
574 Convert (T)(x & c) into (T)x & (T)c, if c is an integer
575 constants (if x has signed type, the sign bit cannot be set
576 in c). This folds extension into the BIT_AND_EXPR.
577 Restrict it to GIMPLE to avoid endless recursions. */
578 && (bitop != BIT_AND_EXPR || GIMPLE)
579 && (/* That's a good idea if the conversion widens the operand, thus
580 after hoisting the conversion the operation will be narrower. */
581 TYPE_PRECISION (TREE_TYPE (@0)) < TYPE_PRECISION (type)
582 /* It's also a good idea if the conversion is to a non-integer
584 || GET_MODE_CLASS (TYPE_MODE (type)) != MODE_INT
585 /* Or if the precision of TO is not the same as the precision
587 || TYPE_PRECISION (type) != GET_MODE_PRECISION (TYPE_MODE (type))))
588 (convert (bitop @0 (convert @1))))))
590 (for bitop (bit_and bit_ior)
591 rbitop (bit_ior bit_and)
592 /* (x | y) & x -> x */
593 /* (x & y) | x -> x */
595 (bitop:c (rbitop:c @0 @1) @0)
597 /* (~x | y) & x -> x & y */
598 /* (~x & y) | x -> x | y */
600 (bitop:c (rbitop:c (bit_not @0) @1) @0)
603 /* Simplify (A & B) OP0 (C & B) to (A OP0 C) & B. */
604 (for bitop (bit_and bit_ior bit_xor)
606 (bitop (bit_and:c @0 @1) (bit_and @2 @1))
607 (bit_and (bitop @0 @2) @1)))
609 /* (x | CST1) & CST2 -> (x & CST2) | (CST1 & CST2) */
611 (bit_and (bit_ior @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
612 (bit_ior (bit_and @0 @2) (bit_and @1 @2)))
614 /* Combine successive equal operations with constants. */
615 (for bitop (bit_and bit_ior bit_xor)
617 (bitop (bitop @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
618 (bitop @0 (bitop @1 @2))))
620 /* Try simple folding for X op !X, and X op X with the help
621 of the truth_valued_p and logical_inverted_value predicates. */
622 (match truth_valued_p
624 (if (INTEGRAL_TYPE_P (type) && TYPE_PRECISION (type) == 1)))
625 (for op (tcc_comparison truth_and truth_andif truth_or truth_orif truth_xor)
626 (match truth_valued_p
628 (match truth_valued_p
631 (match (logical_inverted_value @0)
632 (bit_not truth_valued_p@0))
633 (match (logical_inverted_value @0)
634 (eq @0 integer_zerop))
635 (match (logical_inverted_value @0)
636 (ne truth_valued_p@0 integer_truep))
637 (match (logical_inverted_value @0)
638 (bit_xor truth_valued_p@0 integer_truep))
642 (bit_and:c @0 (logical_inverted_value @0))
643 { build_zero_cst (type); })
644 /* X | !X and X ^ !X -> 1, , if X is truth-valued. */
645 (for op (bit_ior bit_xor)
647 (op:c truth_valued_p@0 (logical_inverted_value @0))
648 { constant_boolean_node (true, type); }))
649 /* X ==/!= !X is false/true. */
652 (op:c truth_valued_p@0 (logical_inverted_value @0))
653 { constant_boolean_node (op == NE_EXPR ? true : false, type); }))
655 /* If arg1 and arg2 are booleans (or any single bit type)
656 then try to simplify:
663 But only do this if our result feeds into a comparison as
664 this transformation is not always a win, particularly on
665 targets with and-not instructions.
666 -> simplify_bitwise_binary_boolean */
668 (ne (bit_and:c (bit_not @0) @1) integer_zerop)
669 (if (INTEGRAL_TYPE_P (TREE_TYPE (@1))
670 && TYPE_PRECISION (TREE_TYPE (@1)) == 1)
673 (ne (bit_ior:c (bit_not @0) @1) integer_zerop)
674 (if (INTEGRAL_TYPE_P (TREE_TYPE (@1))
675 && TYPE_PRECISION (TREE_TYPE (@1)) == 1)
680 (bit_not (bit_not @0))
683 /* Convert ~ (-A) to A - 1. */
685 (bit_not (convert? (negate @0)))
686 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
687 (convert (minus @0 { build_each_one_cst (TREE_TYPE (@0)); }))))
689 /* Convert ~ (A - 1) or ~ (A + -1) to -A. */
691 (bit_not (convert? (minus @0 integer_each_onep)))
692 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
693 (convert (negate @0))))
695 (bit_not (convert? (plus @0 integer_all_onesp)))
696 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
697 (convert (negate @0))))
699 /* Part of convert ~(X ^ Y) to ~X ^ Y or X ^ ~Y if ~X or ~Y simplify. */
701 (bit_not (convert? (bit_xor @0 INTEGER_CST@1)))
702 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
703 (convert (bit_xor @0 (bit_not @1)))))
705 (bit_not (convert? (bit_xor:c (bit_not @0) @1)))
706 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
707 (convert (bit_xor @0 @1))))
709 /* (x & ~m) | (y & m) -> ((x ^ y) & m) ^ x */
711 (bit_ior:c (bit_and:cs @0 (bit_not @2)) (bit_and:cs @1 @2))
712 (bit_xor (bit_and (bit_xor @0 @1) @2) @0))
714 /* Fold A - (A & B) into ~B & A. */
716 (minus (convert? @0) (convert?:s (bit_and:cs @0 @1)))
717 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
718 && tree_nop_conversion_p (type, TREE_TYPE (@1)))
719 (convert (bit_and (bit_not @1) @0))))
723 /* ((X inner_op C0) outer_op C1)
724 With X being a tree where value_range has reasoned certain bits to always be
725 zero throughout its computed value range,
726 inner_op = {|,^}, outer_op = {|,^} and inner_op != outer_op
727 where zero_mask has 1's for all bits that are sure to be 0 in
729 if (inner_op == '^') C0 &= ~C1;
730 if ((C0 & ~zero_mask) == 0) then emit (X outer_op (C0 outer_op C1)
731 if ((C1 & ~zero_mask) == 0) then emit (X inner_op (C0 outer_op C1)
733 (for inner_op (bit_ior bit_xor)
734 outer_op (bit_xor bit_ior)
737 (inner_op:s @2 INTEGER_CST@0) INTEGER_CST@1)
741 wide_int zero_mask_not;
745 if (TREE_CODE (@2) == SSA_NAME)
746 zero_mask_not = get_nonzero_bits (@2);
750 if (inner_op == BIT_XOR_EXPR)
752 C0 = wi::bit_and_not (@0, @1);
753 cst_emit = wi::bit_or (C0, @1);
758 cst_emit = wi::bit_xor (@0, @1);
761 (if (!fail && wi::bit_and (C0, zero_mask_not) == 0)
762 (outer_op @2 { wide_int_to_tree (type, cst_emit); })
763 (if (!fail && wi::bit_and (@1, zero_mask_not) == 0)
764 (inner_op @2 { wide_int_to_tree (type, cst_emit); }))))))
766 /* Associate (p +p off1) +p off2 as (p +p (off1 + off2)). */
768 (pointer_plus (pointer_plus:s @0 @1) @3)
769 (pointer_plus @0 (plus @1 @3)))
775 tem4 = (unsigned long) tem3;
780 (pointer_plus @0 (convert?@2 (minus@3 (convert @1) (convert @0))))
781 /* Conditionally look through a sign-changing conversion. */
782 (if (TYPE_PRECISION (TREE_TYPE (@2)) == TYPE_PRECISION (TREE_TYPE (@3))
783 && ((GIMPLE && useless_type_conversion_p (type, TREE_TYPE (@1)))
784 || (GENERIC && type == TREE_TYPE (@1))))
788 tem = (sizetype) ptr;
792 and produce the simpler and easier to analyze with respect to alignment
793 ... = ptr & ~algn; */
795 (pointer_plus @0 (negate (bit_and (convert @0) INTEGER_CST@1)))
796 (with { tree algn = wide_int_to_tree (TREE_TYPE (@0), wi::bit_not (@1)); }
797 (bit_and @0 { algn; })))
799 /* Try folding difference of addresses. */
801 (minus (convert ADDR_EXPR@0) (convert @1))
802 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
803 (with { HOST_WIDE_INT diff; }
804 (if (ptr_difference_const (@0, @1, &diff))
805 { build_int_cst_type (type, diff); }))))
807 (minus (convert @0) (convert ADDR_EXPR@1))
808 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
809 (with { HOST_WIDE_INT diff; }
810 (if (ptr_difference_const (@0, @1, &diff))
811 { build_int_cst_type (type, diff); }))))
813 /* If arg0 is derived from the address of an object or function, we may
814 be able to fold this expression using the object or function's
817 (bit_and (convert? @0) INTEGER_CST@1)
818 (if (POINTER_TYPE_P (TREE_TYPE (@0))
819 && tree_nop_conversion_p (type, TREE_TYPE (@0)))
823 unsigned HOST_WIDE_INT bitpos;
824 get_pointer_alignment_1 (@0, &align, &bitpos);
826 (if (wi::ltu_p (@1, align / BITS_PER_UNIT))
827 { wide_int_to_tree (type, wi::bit_and (@1, bitpos / BITS_PER_UNIT)); }))))
830 /* We can't reassociate at all for saturating types. */
831 (if (!TYPE_SATURATING (type))
833 /* Contract negates. */
834 /* A + (-B) -> A - B */
836 (plus:c (convert1? @0) (convert2? (negate @1)))
837 /* Apply STRIP_NOPS on @0 and the negate. */
838 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
839 && tree_nop_conversion_p (type, TREE_TYPE (@1))
840 && !TYPE_OVERFLOW_SANITIZED (type))
841 (minus (convert @0) (convert @1))))
842 /* A - (-B) -> A + B */
844 (minus (convert1? @0) (convert2? (negate @1)))
845 (if (tree_nop_conversion_p (type, TREE_TYPE (@0))
846 && tree_nop_conversion_p (type, TREE_TYPE (@1))
847 && !TYPE_OVERFLOW_SANITIZED (type))
848 (plus (convert @0) (convert @1))))
851 (negate (convert? (negate @1)))
852 (if (tree_nop_conversion_p (type, TREE_TYPE (@1))
853 && !TYPE_OVERFLOW_SANITIZED (type))
856 /* We can't reassociate floating-point unless -fassociative-math
857 or fixed-point plus or minus because of saturation to +-Inf. */
858 (if ((!FLOAT_TYPE_P (type) || flag_associative_math)
859 && !FIXED_POINT_TYPE_P (type))
861 /* Match patterns that allow contracting a plus-minus pair
862 irrespective of overflow issues. */
863 /* (A +- B) - A -> +- B */
864 /* (A +- B) -+ B -> A */
865 /* A - (A +- B) -> -+ B */
866 /* A +- (B -+ A) -> +- B */
868 (minus (plus:c @0 @1) @0)
871 (minus (minus @0 @1) @0)
874 (plus:c (minus @0 @1) @1)
877 (minus @0 (plus:c @0 @1))
880 (minus @0 (minus @0 @1))
883 /* (A +- CST) +- CST -> A + CST */
884 (for outer_op (plus minus)
885 (for inner_op (plus minus)
887 (outer_op (inner_op @0 CONSTANT_CLASS_P@1) CONSTANT_CLASS_P@2)
888 /* If the constant operation overflows we cannot do the transform
889 as we would introduce undefined overflow, for example
890 with (a - 1) + INT_MIN. */
891 (with { tree cst = fold_binary (outer_op == inner_op
892 ? PLUS_EXPR : MINUS_EXPR, type, @1, @2); }
893 (if (cst && !TREE_OVERFLOW (cst))
894 (inner_op @0 { cst; } ))))))
896 /* (CST - A) +- CST -> CST - A */
897 (for outer_op (plus minus)
899 (outer_op (minus CONSTANT_CLASS_P@1 @0) CONSTANT_CLASS_P@2)
900 (with { tree cst = fold_binary (outer_op, type, @1, @2); }
901 (if (cst && !TREE_OVERFLOW (cst))
902 (minus { cst; } @0)))))
906 (plus:c (bit_not @0) @0)
907 (if (!TYPE_OVERFLOW_TRAPS (type))
908 { build_all_ones_cst (type); }))
912 (plus (convert? (bit_not @0)) integer_each_onep)
913 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
914 (negate (convert @0))))
918 (minus (convert? (negate @0)) integer_each_onep)
919 (if (!TYPE_OVERFLOW_TRAPS (type)
920 && tree_nop_conversion_p (type, TREE_TYPE (@0)))
921 (bit_not (convert @0))))
925 (minus integer_all_onesp @0)
928 /* (T)(P + A) - (T)P -> (T) A */
929 (for add (plus pointer_plus)
931 (minus (convert (add @0 @1))
933 (if (element_precision (type) <= element_precision (TREE_TYPE (@1))
934 /* For integer types, if A has a smaller type
935 than T the result depends on the possible
937 E.g. T=size_t, A=(unsigned)429497295, P>0.
938 However, if an overflow in P + A would cause
939 undefined behavior, we can assume that there
941 || (INTEGRAL_TYPE_P (TREE_TYPE (@0))
942 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0)))
943 /* For pointer types, if the conversion of A to the
944 final type requires a sign- or zero-extension,
945 then we have to punt - it is not defined which
947 || (POINTER_TYPE_P (TREE_TYPE (@0))
948 && TREE_CODE (@1) == INTEGER_CST
949 && tree_int_cst_sign_bit (@1) == 0))
953 /* Simplifications of MIN_EXPR and MAX_EXPR. */
955 (for minmax (min max)
961 (if (INTEGRAL_TYPE_P (type)
962 && TYPE_MIN_VALUE (type)
963 && operand_equal_p (@1, TYPE_MIN_VALUE (type), OEP_ONLY_CONST))
967 (if (INTEGRAL_TYPE_P (type)
968 && TYPE_MAX_VALUE (type)
969 && operand_equal_p (@1, TYPE_MAX_VALUE (type), OEP_ONLY_CONST))
973 /* Simplifications of shift and rotates. */
975 (for rotate (lrotate rrotate)
977 (rotate integer_all_onesp@0 @1)
980 /* Optimize -1 >> x for arithmetic right shifts. */
982 (rshift integer_all_onesp@0 @1)
983 (if (!TYPE_UNSIGNED (type)
984 && tree_expr_nonnegative_p (@1))
987 /* Optimize (x >> c) << c into x & (-1<<c). */
989 (lshift (rshift @0 INTEGER_CST@1) @1)
990 (if (wi::ltu_p (@1, element_precision (type)))
991 (bit_and @0 (lshift { build_minus_one_cst (type); } @1))))
993 /* Optimize (x << c) >> c into x & ((unsigned)-1 >> c) for unsigned
996 (rshift (lshift @0 INTEGER_CST@1) @1)
997 (if (TYPE_UNSIGNED (type)
998 && (wi::ltu_p (@1, element_precision (type))))
999 (bit_and @0 (rshift { build_minus_one_cst (type); } @1))))
1001 (for shiftrotate (lrotate rrotate lshift rshift)
1003 (shiftrotate @0 integer_zerop)
1006 (shiftrotate integer_zerop@0 @1)
1008 /* Prefer vector1 << scalar to vector1 << vector2
1009 if vector2 is uniform. */
1010 (for vec (VECTOR_CST CONSTRUCTOR)
1012 (shiftrotate @0 vec@1)
1013 (with { tree tem = uniform_vector_p (@1); }
1015 (shiftrotate @0 { tem; }))))))
1017 /* Rewrite an LROTATE_EXPR by a constant into an
1018 RROTATE_EXPR by a new constant. */
1020 (lrotate @0 INTEGER_CST@1)
1021 (rrotate @0 { fold_binary (MINUS_EXPR, TREE_TYPE (@1),
1022 build_int_cst (TREE_TYPE (@1),
1023 element_precision (type)), @1); }))
1025 /* Turn (a OP c1) OP c2 into a OP (c1+c2). */
1026 (for op (lrotate rrotate rshift lshift)
1028 (op (op @0 INTEGER_CST@1) INTEGER_CST@2)
1029 (with { unsigned int prec = element_precision (type); }
1030 (if (wi::ge_p (@1, 0, TYPE_SIGN (TREE_TYPE (@1)))
1031 && wi::lt_p (@1, prec, TYPE_SIGN (TREE_TYPE (@1)))
1032 && wi::ge_p (@2, 0, TYPE_SIGN (TREE_TYPE (@2)))
1033 && wi::lt_p (@2, prec, TYPE_SIGN (TREE_TYPE (@2))))
1034 (with { unsigned int low = wi::add (@1, @2).to_uhwi (); }
1035 /* Deal with a OP (c1 + c2) being undefined but (a OP c1) OP c2
1036 being well defined. */
1038 (if (op == LROTATE_EXPR || op == RROTATE_EXPR)
1039 (op @0 { build_int_cst (TREE_TYPE (@1), low % prec); })
1040 (if (TYPE_UNSIGNED (type) || op == LSHIFT_EXPR)
1041 { build_zero_cst (type); }
1042 (op @0 { build_int_cst (TREE_TYPE (@1), prec - 1); })))
1043 (op @0 { build_int_cst (TREE_TYPE (@1), low); })))))))
1046 /* ((1 << A) & 1) != 0 -> A == 0
1047 ((1 << A) & 1) == 0 -> A != 0 */
1051 (cmp (bit_and (lshift integer_onep @0) integer_onep) integer_zerop)
1052 (icmp @0 { build_zero_cst (TREE_TYPE (@0)); })))
1054 /* (CST1 << A) == CST2 -> A == ctz (CST2) - ctz (CST1)
1055 (CST1 << A) != CST2 -> A != ctz (CST2) - ctz (CST1)
1059 (cmp (lshift INTEGER_CST@0 @1) INTEGER_CST@2)
1060 (with { int cand = wi::ctz (@2) - wi::ctz (@0); }
1062 || (!integer_zerop (@2)
1063 && wi::ne_p (wi::lshift (@0, cand), @2)))
1064 { constant_boolean_node (cmp == NE_EXPR, type); }
1065 (if (!integer_zerop (@2)
1066 && wi::eq_p (wi::lshift (@0, cand), @2))
1067 (cmp @1 { build_int_cst (TREE_TYPE (@1), cand); }))))))
1069 /* Fold (X << C1) & C2 into (X << C1) & (C2 | ((1 << C1) - 1))
1070 (X >> C1) & C2 into (X >> C1) & (C2 | ~((type) -1 >> C1))
1071 if the new mask might be further optimized. */
1072 (for shift (lshift rshift)
1074 (bit_and (convert?:s@4 (shift:s@5 (convert1?@3 @0) INTEGER_CST@1))
1076 (if (tree_nop_conversion_p (TREE_TYPE (@4), TREE_TYPE (@5))
1077 && TYPE_PRECISION (type) <= HOST_BITS_PER_WIDE_INT
1078 && tree_fits_uhwi_p (@1)
1079 && tree_to_uhwi (@1) > 0
1080 && tree_to_uhwi (@1) < TYPE_PRECISION (type))
1083 unsigned int shiftc = tree_to_uhwi (@1);
1084 unsigned HOST_WIDE_INT mask = TREE_INT_CST_LOW (@2);
1085 unsigned HOST_WIDE_INT newmask, zerobits = 0;
1086 tree shift_type = TREE_TYPE (@3);
1089 if (shift == LSHIFT_EXPR)
1090 zerobits = ((((unsigned HOST_WIDE_INT) 1) << shiftc) - 1);
1091 else if (shift == RSHIFT_EXPR
1092 && (TYPE_PRECISION (shift_type)
1093 == GET_MODE_PRECISION (TYPE_MODE (shift_type))))
1095 prec = TYPE_PRECISION (TREE_TYPE (@3));
1097 /* See if more bits can be proven as zero because of
1100 && TYPE_UNSIGNED (TREE_TYPE (@0)))
1102 tree inner_type = TREE_TYPE (@0);
1103 if ((TYPE_PRECISION (inner_type)
1104 == GET_MODE_PRECISION (TYPE_MODE (inner_type)))
1105 && TYPE_PRECISION (inner_type) < prec)
1107 prec = TYPE_PRECISION (inner_type);
1108 /* See if we can shorten the right shift. */
1110 shift_type = inner_type;
1111 /* Otherwise X >> C1 is all zeros, so we'll optimize
1112 it into (X, 0) later on by making sure zerobits
1116 zerobits = ~(unsigned HOST_WIDE_INT) 0;
1119 zerobits >>= HOST_BITS_PER_WIDE_INT - shiftc;
1120 zerobits <<= prec - shiftc;
1122 /* For arithmetic shift if sign bit could be set, zerobits
1123 can contain actually sign bits, so no transformation is
1124 possible, unless MASK masks them all away. In that
1125 case the shift needs to be converted into logical shift. */
1126 if (!TYPE_UNSIGNED (TREE_TYPE (@3))
1127 && prec == TYPE_PRECISION (TREE_TYPE (@3)))
1129 if ((mask & zerobits) == 0)
1130 shift_type = unsigned_type_for (TREE_TYPE (@3));
1136 /* ((X << 16) & 0xff00) is (X, 0). */
1137 (if ((mask & zerobits) == mask)
1138 { build_int_cst (type, 0); }
1139 (with { newmask = mask | zerobits; }
1140 (if (newmask != mask && (newmask & (newmask + 1)) == 0)
1143 /* Only do the transformation if NEWMASK is some integer
1145 for (prec = BITS_PER_UNIT;
1146 prec < HOST_BITS_PER_WIDE_INT; prec <<= 1)
1147 if (newmask == (((unsigned HOST_WIDE_INT) 1) << prec) - 1)
1150 (if (prec < HOST_BITS_PER_WIDE_INT
1151 || newmask == ~(unsigned HOST_WIDE_INT) 0)
1153 { tree newmaskt = build_int_cst_type (TREE_TYPE (@2), newmask); }
1154 (if (!tree_int_cst_equal (newmaskt, @2))
1155 (if (shift_type != TREE_TYPE (@3))
1156 (bit_and (convert (shift:shift_type (convert @3) @1)) { newmaskt; })
1157 (bit_and @4 { newmaskt; })))))))))))))
1159 /* Fold (X {&,^,|} C2) << C1 into (X << C1) {&,^,|} (C2 << C1)
1160 (X {&,^,|} C2) >> C1 into (X >> C1) & (C2 >> C1). */
1161 (for shift (lshift rshift)
1162 (for bit_op (bit_and bit_xor bit_ior)
1164 (shift (convert?:s (bit_op:s @0 INTEGER_CST@2)) INTEGER_CST@1)
1165 (if (tree_nop_conversion_p (type, TREE_TYPE (@0)))
1166 (with { tree mask = int_const_binop (shift, fold_convert (type, @2), @1); }
1167 (bit_op (shift (convert @0) @1) { mask; }))))))
1170 /* Simplifications of conversions. */
1172 /* Basic strip-useless-type-conversions / strip_nops. */
1173 (for cvt (convert view_convert float fix_trunc)
1176 (if ((GIMPLE && useless_type_conversion_p (type, TREE_TYPE (@0)))
1177 || (GENERIC && type == TREE_TYPE (@0)))
1180 /* Contract view-conversions. */
1182 (view_convert (view_convert @0))
1185 /* For integral conversions with the same precision or pointer
1186 conversions use a NOP_EXPR instead. */
1189 (if ((INTEGRAL_TYPE_P (type) || POINTER_TYPE_P (type))
1190 && (INTEGRAL_TYPE_P (TREE_TYPE (@0)) || POINTER_TYPE_P (TREE_TYPE (@0)))
1191 && TYPE_PRECISION (type) == TYPE_PRECISION (TREE_TYPE (@0)))
1194 /* Strip inner integral conversions that do not change precision or size. */
1196 (view_convert (convert@0 @1))
1197 (if ((INTEGRAL_TYPE_P (TREE_TYPE (@0)) || POINTER_TYPE_P (TREE_TYPE (@0)))
1198 && (INTEGRAL_TYPE_P (TREE_TYPE (@1)) || POINTER_TYPE_P (TREE_TYPE (@1)))
1199 && (TYPE_PRECISION (TREE_TYPE (@0)) == TYPE_PRECISION (TREE_TYPE (@1)))
1200 && (TYPE_SIZE (TREE_TYPE (@0)) == TYPE_SIZE (TREE_TYPE (@1))))
1203 /* Re-association barriers around constants and other re-association
1204 barriers can be removed. */
1206 (paren CONSTANT_CLASS_P@0)
1209 (paren (paren@1 @0))
1212 /* Handle cases of two conversions in a row. */
1213 (for ocvt (convert float fix_trunc)
1214 (for icvt (convert float)
1219 tree inside_type = TREE_TYPE (@0);
1220 tree inter_type = TREE_TYPE (@1);
1221 int inside_int = INTEGRAL_TYPE_P (inside_type);
1222 int inside_ptr = POINTER_TYPE_P (inside_type);
1223 int inside_float = FLOAT_TYPE_P (inside_type);
1224 int inside_vec = VECTOR_TYPE_P (inside_type);
1225 unsigned int inside_prec = TYPE_PRECISION (inside_type);
1226 int inside_unsignedp = TYPE_UNSIGNED (inside_type);
1227 int inter_int = INTEGRAL_TYPE_P (inter_type);
1228 int inter_ptr = POINTER_TYPE_P (inter_type);
1229 int inter_float = FLOAT_TYPE_P (inter_type);
1230 int inter_vec = VECTOR_TYPE_P (inter_type);
1231 unsigned int inter_prec = TYPE_PRECISION (inter_type);
1232 int inter_unsignedp = TYPE_UNSIGNED (inter_type);
1233 int final_int = INTEGRAL_TYPE_P (type);
1234 int final_ptr = POINTER_TYPE_P (type);
1235 int final_float = FLOAT_TYPE_P (type);
1236 int final_vec = VECTOR_TYPE_P (type);
1237 unsigned int final_prec = TYPE_PRECISION (type);
1238 int final_unsignedp = TYPE_UNSIGNED (type);
1241 /* In addition to the cases of two conversions in a row
1242 handled below, if we are converting something to its own
1243 type via an object of identical or wider precision, neither
1244 conversion is needed. */
1245 (if (((GIMPLE && useless_type_conversion_p (type, inside_type))
1247 && TYPE_MAIN_VARIANT (type) == TYPE_MAIN_VARIANT (inside_type)))
1248 && (((inter_int || inter_ptr) && final_int)
1249 || (inter_float && final_float))
1250 && inter_prec >= final_prec)
1253 /* Likewise, if the intermediate and initial types are either both
1254 float or both integer, we don't need the middle conversion if the
1255 former is wider than the latter and doesn't change the signedness
1256 (for integers). Avoid this if the final type is a pointer since
1257 then we sometimes need the middle conversion. Likewise if the
1258 final type has a precision not equal to the size of its mode. */
1259 (if (((inter_int && inside_int) || (inter_float && inside_float))
1260 && (final_int || final_float)
1261 && inter_prec >= inside_prec
1262 && (inter_float || inter_unsignedp == inside_unsignedp)
1263 && ! (final_prec != GET_MODE_PRECISION (TYPE_MODE (type))
1264 && TYPE_MODE (type) == TYPE_MODE (inter_type)))
1267 /* If we have a sign-extension of a zero-extended value, we can
1268 replace that by a single zero-extension. Likewise if the
1269 final conversion does not change precision we can drop the
1270 intermediate conversion. */
1271 (if (inside_int && inter_int && final_int
1272 && ((inside_prec < inter_prec && inter_prec < final_prec
1273 && inside_unsignedp && !inter_unsignedp)
1274 || final_prec == inter_prec))
1277 /* Two conversions in a row are not needed unless:
1278 - some conversion is floating-point (overstrict for now), or
1279 - some conversion is a vector (overstrict for now), or
1280 - the intermediate type is narrower than both initial and
1282 - the intermediate type and innermost type differ in signedness,
1283 and the outermost type is wider than the intermediate, or
1284 - the initial type is a pointer type and the precisions of the
1285 intermediate and final types differ, or
1286 - the final type is a pointer type and the precisions of the
1287 initial and intermediate types differ. */
1288 (if (! inside_float && ! inter_float && ! final_float
1289 && ! inside_vec && ! inter_vec && ! final_vec
1290 && (inter_prec >= inside_prec || inter_prec >= final_prec)
1291 && ! (inside_int && inter_int
1292 && inter_unsignedp != inside_unsignedp
1293 && inter_prec < final_prec)
1294 && ((inter_unsignedp && inter_prec > inside_prec)
1295 == (final_unsignedp && final_prec > inter_prec))
1296 && ! (inside_ptr && inter_prec != final_prec)
1297 && ! (final_ptr && inside_prec != inter_prec)
1298 && ! (final_prec != GET_MODE_PRECISION (TYPE_MODE (type))
1299 && TYPE_MODE (type) == TYPE_MODE (inter_type)))
1302 /* A truncation to an unsigned type (a zero-extension) should be
1303 canonicalized as bitwise and of a mask. */
1304 (if (final_int && inter_int && inside_int
1305 && final_prec == inside_prec
1306 && final_prec > inter_prec
1308 (convert (bit_and @0 { wide_int_to_tree
1310 wi::mask (inter_prec, false,
1311 TYPE_PRECISION (inside_type))); })))
1313 /* If we are converting an integer to a floating-point that can
1314 represent it exactly and back to an integer, we can skip the
1315 floating-point conversion. */
1316 (if (GIMPLE /* PR66211 */
1317 && inside_int && inter_float && final_int &&
1318 (unsigned) significand_size (TYPE_MODE (inter_type))
1319 >= inside_prec - !inside_unsignedp)
1322 /* If we have a narrowing conversion to an integral type that is fed by a
1323 BIT_AND_EXPR, we might be able to remove the BIT_AND_EXPR if it merely
1324 masks off bits outside the final type (and nothing else). */
1326 (convert (bit_and @0 INTEGER_CST@1))
1327 (if (INTEGRAL_TYPE_P (type)
1328 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
1329 && TYPE_PRECISION (type) <= TYPE_PRECISION (TREE_TYPE (@0))
1330 && operand_equal_p (@1, build_low_bits_mask (TREE_TYPE (@1),
1331 TYPE_PRECISION (type)), 0))
1335 /* (X /[ex] A) * A -> X. */
1337 (mult (convert? (exact_div @0 @1)) @1)
1338 /* Look through a sign-changing conversion. */
1341 /* Canonicalization of binary operations. */
1343 /* Convert X + -C into X - C. */
1345 (plus @0 REAL_CST@1)
1346 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1)))
1347 (with { tree tem = fold_unary (NEGATE_EXPR, type, @1); }
1348 (if (!TREE_OVERFLOW (tem) || !flag_trapping_math)
1349 (minus @0 { tem; })))))
1351 /* Convert x+x into x*2.0. */
1354 (if (SCALAR_FLOAT_TYPE_P (type))
1355 (mult @0 { build_real (type, dconst2); })))
1358 (minus integer_zerop @1)
1361 /* (ARG0 - ARG1) is the same as (-ARG1 + ARG0). So check whether
1362 ARG0 is zero and X + ARG0 reduces to X, since that would mean
1363 (-ARG1 + ARG0) reduces to -ARG1. */
1365 (minus real_zerop@0 @1)
1366 (if (fold_real_zero_addition_p (type, @0, 0))
1369 /* Transform x * -1 into -x. */
1371 (mult @0 integer_minus_onep)
1374 /* COMPLEX_EXPR and REALPART/IMAGPART_EXPR cancellations. */
1376 (complex (realpart @0) (imagpart @0))
1379 (realpart (complex @0 @1))
1382 (imagpart (complex @0 @1))
1385 /* Sometimes we only care about half of a complex expression. */
1387 (realpart (convert?:s (conj:s @0)))
1388 (convert (realpart @0)))
1390 (imagpart (convert?:s (conj:s @0)))
1391 (convert (negate (imagpart @0))))
1392 (for part (realpart imagpart)
1393 (for op (plus minus)
1395 (part (convert?:s@2 (op:s @0 @1)))
1396 (convert (op (part @0) (part @1))))))
1398 (realpart (convert?:s (CEXPI:s @0)))
1401 (imagpart (convert?:s (CEXPI:s @0)))
1404 /* conj(conj(x)) -> x */
1406 (conj (convert? (conj @0)))
1407 (if (tree_nop_conversion_p (TREE_TYPE (@0), type))
1410 /* conj({x,y}) -> {x,-y} */
1412 (conj (convert?:s (complex:s @0 @1)))
1413 (with { tree itype = TREE_TYPE (type); }
1414 (complex (convert:itype @0) (negate (convert:itype @1)))))
1416 /* BSWAP simplifications, transforms checked by gcc.dg/builtin-bswap-8.c. */
1417 (for bswap (BUILT_IN_BSWAP16 BUILT_IN_BSWAP32 BUILT_IN_BSWAP64)
1422 (bswap (bit_not (bswap @0)))
1424 (for bitop (bit_xor bit_ior bit_and)
1426 (bswap (bitop:c (bswap @0) @1))
1427 (bitop @0 (bswap @1)))))
1430 /* Combine COND_EXPRs and VEC_COND_EXPRs. */
1432 /* Simplify constant conditions.
1433 Only optimize constant conditions when the selected branch
1434 has the same type as the COND_EXPR. This avoids optimizing
1435 away "c ? x : throw", where the throw has a void type.
1436 Note that we cannot throw away the fold-const.c variant nor
1437 this one as we depend on doing this transform before possibly
1438 A ? B : B -> B triggers and the fold-const.c one can optimize
1439 0 ? A : B to B even if A has side-effects. Something
1440 genmatch cannot handle. */
1442 (cond INTEGER_CST@0 @1 @2)
1443 (if (integer_zerop (@0))
1444 (if (!VOID_TYPE_P (TREE_TYPE (@2)) || VOID_TYPE_P (type))
1446 (if (!VOID_TYPE_P (TREE_TYPE (@1)) || VOID_TYPE_P (type))
1449 (vec_cond VECTOR_CST@0 @1 @2)
1450 (if (integer_all_onesp (@0))
1452 (if (integer_zerop (@0))
1455 (for cnd (cond vec_cond)
1456 /* A ? B : (A ? X : C) -> A ? B : C. */
1458 (cnd @0 (cnd @0 @1 @2) @3)
1461 (cnd @0 @1 (cnd @0 @2 @3))
1464 /* A ? B : B -> B. */
1469 /* !A ? B : C -> A ? C : B. */
1471 (cnd (logical_inverted_value truth_valued_p@0) @1 @2)
1474 /* A + (B vcmp C ? 1 : 0) -> A - (B vcmp C), since vector comparisons
1475 return all-1 or all-0 results. */
1476 /* ??? We could instead convert all instances of the vec_cond to negate,
1477 but that isn't necessarily a win on its own. */
1479 (plus:c @3 (view_convert? (vec_cond @0 integer_each_onep@1 integer_zerop@2)))
1480 (if (VECTOR_TYPE_P (type)
1481 && TYPE_VECTOR_SUBPARTS (type) == TYPE_VECTOR_SUBPARTS (TREE_TYPE (@0))
1482 && (TYPE_MODE (TREE_TYPE (type))
1483 == TYPE_MODE (TREE_TYPE (TREE_TYPE (@0)))))
1484 (minus @3 (view_convert @0))))
1486 /* ... likewise A - (B vcmp C ? 1 : 0) -> A + (B vcmp C). */
1488 (minus @3 (view_convert? (vec_cond @0 integer_each_onep@1 integer_zerop@2)))
1489 (if (VECTOR_TYPE_P (type)
1490 && TYPE_VECTOR_SUBPARTS (type) == TYPE_VECTOR_SUBPARTS (TREE_TYPE (@0))
1491 && (TYPE_MODE (TREE_TYPE (type))
1492 == TYPE_MODE (TREE_TYPE (TREE_TYPE (@0)))))
1493 (plus @3 (view_convert @0))))
1496 /* Simplifications of comparisons. */
1498 /* See if we can reduce the magnitude of a constant involved in a
1499 comparison by changing the comparison code. This is a canonicalization
1500 formerly done by maybe_canonicalize_comparison_1. */
1504 (cmp @0 INTEGER_CST@1)
1505 (if (tree_int_cst_sgn (@1) == -1)
1506 (acmp @0 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))))
1510 (cmp @0 INTEGER_CST@1)
1511 (if (tree_int_cst_sgn (@1) == 1)
1512 (acmp @0 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))))
1515 /* We can simplify a logical negation of a comparison to the
1516 inverted comparison. As we cannot compute an expression
1517 operator using invert_tree_comparison we have to simulate
1518 that with expression code iteration. */
1519 (for cmp (tcc_comparison)
1520 icmp (inverted_tcc_comparison)
1521 ncmp (inverted_tcc_comparison_with_nans)
1522 /* Ideally we'd like to combine the following two patterns
1523 and handle some more cases by using
1524 (logical_inverted_value (cmp @0 @1))
1525 here but for that genmatch would need to "inline" that.
1526 For now implement what forward_propagate_comparison did. */
1528 (bit_not (cmp @0 @1))
1529 (if (VECTOR_TYPE_P (type)
1530 || (INTEGRAL_TYPE_P (type) && TYPE_PRECISION (type) == 1))
1531 /* Comparison inversion may be impossible for trapping math,
1532 invert_tree_comparison will tell us. But we can't use
1533 a computed operator in the replacement tree thus we have
1534 to play the trick below. */
1535 (with { enum tree_code ic = invert_tree_comparison
1536 (cmp, HONOR_NANS (@0)); }
1542 (bit_xor (cmp @0 @1) integer_truep)
1543 (with { enum tree_code ic = invert_tree_comparison
1544 (cmp, HONOR_NANS (@0)); }
1550 /* Transform comparisons of the form X - Y CMP 0 to X CMP Y.
1551 ??? The transformation is valid for the other operators if overflow
1552 is undefined for the type, but performing it here badly interacts
1553 with the transformation in fold_cond_expr_with_comparison which
1554 attempts to synthetize ABS_EXPR. */
1557 (cmp (minus@2 @0 @1) integer_zerop)
1558 (if (single_use (@2))
1561 /* Transform comparisons of the form X * C1 CMP 0 to X CMP 0 in the
1562 signed arithmetic case. That form is created by the compiler
1563 often enough for folding it to be of value. One example is in
1564 computing loop trip counts after Operator Strength Reduction. */
1565 (for cmp (simple_comparison)
1566 scmp (swapped_simple_comparison)
1568 (cmp (mult @0 INTEGER_CST@1) integer_zerop@2)
1569 /* Handle unfolded multiplication by zero. */
1570 (if (integer_zerop (@1))
1572 (if (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
1573 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0)))
1574 /* If @1 is negative we swap the sense of the comparison. */
1575 (if (tree_int_cst_sgn (@1) < 0)
1579 /* Simplify comparison of something with itself. For IEEE
1580 floating-point, we can only do some of these simplifications. */
1583 (if (! FLOAT_TYPE_P (TREE_TYPE (@0))
1584 || ! HONOR_NANS (TYPE_MODE (TREE_TYPE (@0))))
1585 { constant_boolean_node (true, type); }))
1594 || ! FLOAT_TYPE_P (TREE_TYPE (@0))
1595 || ! HONOR_NANS (TYPE_MODE (TREE_TYPE (@0))))
1596 { constant_boolean_node (false, type); })))
1597 (for cmp (unle unge uneq)
1600 { constant_boolean_node (true, type); }))
1603 (if (!flag_trapping_math)
1604 { constant_boolean_node (false, type); }))
1606 /* Fold ~X op ~Y as Y op X. */
1607 (for cmp (simple_comparison)
1609 (cmp (bit_not @0) (bit_not @1))
1612 /* Fold ~X op C as X op' ~C, where op' is the swapped comparison. */
1613 (for cmp (simple_comparison)
1614 scmp (swapped_simple_comparison)
1616 (cmp (bit_not @0) CONSTANT_CLASS_P@1)
1617 (if (TREE_CODE (@1) == INTEGER_CST || TREE_CODE (@1) == VECTOR_CST)
1618 (scmp @0 (bit_not @1)))))
1620 (for cmp (simple_comparison)
1621 /* Fold (double)float1 CMP (double)float2 into float1 CMP float2. */
1623 (cmp (convert@2 @0) (convert? @1))
1624 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
1625 && (DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@2))
1626 == DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@0)))
1627 && (DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@2))
1628 == DECIMAL_FLOAT_TYPE_P (TREE_TYPE (@1))))
1631 tree type1 = TREE_TYPE (@1);
1632 if (TREE_CODE (@1) == REAL_CST && !DECIMAL_FLOAT_TYPE_P (type1))
1634 REAL_VALUE_TYPE orig = TREE_REAL_CST (@1);
1635 if (TYPE_PRECISION (type1) > TYPE_PRECISION (float_type_node)
1636 && exact_real_truncate (TYPE_MODE (float_type_node), &orig))
1637 type1 = float_type_node;
1638 if (TYPE_PRECISION (type1) > TYPE_PRECISION (double_type_node)
1639 && exact_real_truncate (TYPE_MODE (double_type_node), &orig))
1640 type1 = double_type_node;
1643 = (TYPE_PRECISION (TREE_TYPE (@0)) > TYPE_PRECISION (type1)
1644 ? TREE_TYPE (@0) : type1);
1646 (if (TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (newtype))
1647 (cmp (convert:newtype @0) (convert:newtype @1))))))
1651 /* IEEE doesn't distinguish +0 and -0 in comparisons. */
1653 /* a CMP (-0) -> a CMP 0 */
1654 (if (REAL_VALUE_MINUS_ZERO (TREE_REAL_CST (@1)))
1655 (cmp @0 { build_real (TREE_TYPE (@1), dconst0); }))
1656 /* x != NaN is always true, other ops are always false. */
1657 (if (REAL_VALUE_ISNAN (TREE_REAL_CST (@1))
1658 && ! HONOR_SNANS (@1))
1659 { constant_boolean_node (cmp == NE_EXPR, type); })
1660 /* Fold comparisons against infinity. */
1661 (if (REAL_VALUE_ISINF (TREE_REAL_CST (@1))
1662 && MODE_HAS_INFINITIES (TYPE_MODE (TREE_TYPE (@1))))
1665 REAL_VALUE_TYPE max;
1666 enum tree_code code = cmp;
1667 bool neg = REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1));
1669 code = swap_tree_comparison (code);
1672 /* x > +Inf is always false, if with ignore sNANs. */
1673 (if (code == GT_EXPR
1674 && ! HONOR_SNANS (@0))
1675 { constant_boolean_node (false, type); })
1676 (if (code == LE_EXPR)
1677 /* x <= +Inf is always true, if we don't case about NaNs. */
1678 (if (! HONOR_NANS (@0))
1679 { constant_boolean_node (true, type); }
1680 /* x <= +Inf is the same as x == x, i.e. !isnan(x). */
1682 /* x == +Inf and x >= +Inf are always equal to x > DBL_MAX. */
1683 (if (code == EQ_EXPR || code == GE_EXPR)
1684 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1686 (lt @0 { build_real (TREE_TYPE (@0), max); })
1687 (gt @0 { build_real (TREE_TYPE (@0), max); }))))
1688 /* x < +Inf is always equal to x <= DBL_MAX. */
1689 (if (code == LT_EXPR)
1690 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1692 (ge @0 { build_real (TREE_TYPE (@0), max); })
1693 (le @0 { build_real (TREE_TYPE (@0), max); }))))
1694 /* x != +Inf is always equal to !(x > DBL_MAX). */
1695 (if (code == NE_EXPR)
1696 (with { real_maxval (&max, neg, TYPE_MODE (TREE_TYPE (@0))); }
1697 (if (! HONOR_NANS (@0))
1699 (ge @0 { build_real (TREE_TYPE (@0), max); })
1700 (le @0 { build_real (TREE_TYPE (@0), max); }))
1702 (bit_xor (lt @0 { build_real (TREE_TYPE (@0), max); })
1703 { build_one_cst (type); })
1704 (bit_xor (gt @0 { build_real (TREE_TYPE (@0), max); })
1705 { build_one_cst (type); }))))))))))
1707 /* If this is a comparison of a real constant with a PLUS_EXPR
1708 or a MINUS_EXPR of a real constant, we can convert it into a
1709 comparison with a revised real constant as long as no overflow
1710 occurs when unsafe_math_optimizations are enabled. */
1711 (if (flag_unsafe_math_optimizations)
1712 (for op (plus minus)
1714 (cmp (op @0 REAL_CST@1) REAL_CST@2)
1717 tree tem = const_binop (op == PLUS_EXPR ? MINUS_EXPR : PLUS_EXPR,
1718 TREE_TYPE (@1), @2, @1);
1720 (if (tem && !TREE_OVERFLOW (tem))
1721 (cmp @0 { tem; }))))))
1723 /* Likewise, we can simplify a comparison of a real constant with
1724 a MINUS_EXPR whose first operand is also a real constant, i.e.
1725 (c1 - x) < c2 becomes x > c1-c2. Reordering is allowed on
1726 floating-point types only if -fassociative-math is set. */
1727 (if (flag_associative_math)
1729 (cmp (minus REAL_CST@0 @1) REAL_CST@2)
1730 (with { tree tem = const_binop (MINUS_EXPR, TREE_TYPE (@1), @0, @2); }
1731 (if (tem && !TREE_OVERFLOW (tem))
1732 (cmp { tem; } @1)))))
1734 /* Fold comparisons against built-in math functions. */
1735 (if (flag_unsafe_math_optimizations
1736 && ! flag_errno_math)
1739 (cmp (sq @0) REAL_CST@1)
1741 (if (REAL_VALUE_NEGATIVE (TREE_REAL_CST (@1)))
1743 /* sqrt(x) < y is always false, if y is negative. */
1744 (if (cmp == EQ_EXPR || cmp == LT_EXPR || cmp == LE_EXPR)
1745 { constant_boolean_node (false, type); })
1746 /* sqrt(x) > y is always true, if y is negative and we
1747 don't care about NaNs, i.e. negative values of x. */
1748 (if (cmp == NE_EXPR || !HONOR_NANS (@0))
1749 { constant_boolean_node (true, type); })
1750 /* sqrt(x) > y is the same as x >= 0, if y is negative. */
1751 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })))
1752 (if (cmp == GT_EXPR || cmp == GE_EXPR)
1756 real_arithmetic (&c2, MULT_EXPR,
1757 &TREE_REAL_CST (@1), &TREE_REAL_CST (@1));
1758 real_convert (&c2, TYPE_MODE (TREE_TYPE (@0)), &c2);
1760 (if (REAL_VALUE_ISINF (c2))
1761 /* sqrt(x) > y is x == +Inf, when y is very large. */
1762 (if (HONOR_INFINITIES (@0))
1763 (eq @0 { build_real (TREE_TYPE (@0), c2); })
1764 { constant_boolean_node (false, type); })
1765 /* sqrt(x) > c is the same as x > c*c. */
1766 (cmp @0 { build_real (TREE_TYPE (@0), c2); }))))
1767 (if (cmp == LT_EXPR || cmp == LE_EXPR)
1771 real_arithmetic (&c2, MULT_EXPR,
1772 &TREE_REAL_CST (@1), &TREE_REAL_CST (@1));
1773 real_convert (&c2, TYPE_MODE (TREE_TYPE (@0)), &c2);
1775 (if (REAL_VALUE_ISINF (c2))
1777 /* sqrt(x) < y is always true, when y is a very large
1778 value and we don't care about NaNs or Infinities. */
1779 (if (! HONOR_NANS (@0) && ! HONOR_INFINITIES (@0))
1780 { constant_boolean_node (true, type); })
1781 /* sqrt(x) < y is x != +Inf when y is very large and we
1782 don't care about NaNs. */
1783 (if (! HONOR_NANS (@0))
1784 (ne @0 { build_real (TREE_TYPE (@0), c2); }))
1785 /* sqrt(x) < y is x >= 0 when y is very large and we
1786 don't care about Infinities. */
1787 (if (! HONOR_INFINITIES (@0))
1788 (ge @0 { build_real (TREE_TYPE (@0), dconst0); }))
1789 /* sqrt(x) < y is x >= 0 && x != +Inf, when y is large. */
1792 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })
1793 (ne @0 { build_real (TREE_TYPE (@0), c2); }))))
1794 /* sqrt(x) < c is the same as x < c*c, if we ignore NaNs. */
1795 (if (! HONOR_NANS (@0))
1796 (cmp @0 { build_real (TREE_TYPE (@0), c2); })
1797 /* sqrt(x) < c is the same as x >= 0 && x < c*c. */
1800 (ge @0 { build_real (TREE_TYPE (@0), dconst0); })
1801 (cmp @0 { build_real (TREE_TYPE (@0), c2); }))))))))))))
1803 /* Unordered tests if either argument is a NaN. */
1805 (bit_ior (unordered @0 @0) (unordered @1 @1))
1806 (if (types_match (@0, @1))
1809 (bit_and (ordered @0 @0) (ordered @1 @1))
1810 (if (types_match (@0, @1))
1813 (bit_ior:c (unordered @0 @0) (unordered:c@2 @0 @1))
1816 (bit_and:c (ordered @0 @0) (ordered:c@2 @0 @1))
1819 /* -A CMP -B -> B CMP A. */
1820 (for cmp (tcc_comparison)
1821 scmp (swapped_tcc_comparison)
1823 (cmp (negate @0) (negate @1))
1824 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
1825 || (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
1826 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0))))
1829 (cmp (negate @0) CONSTANT_CLASS_P@1)
1830 (if (FLOAT_TYPE_P (TREE_TYPE (@0))
1831 || (ANY_INTEGRAL_TYPE_P (TREE_TYPE (@0))
1832 && TYPE_OVERFLOW_UNDEFINED (TREE_TYPE (@0))))
1833 (with { tree tem = fold_unary (NEGATE_EXPR, TREE_TYPE (@0), @1); }
1834 (if (tem && !TREE_OVERFLOW (tem))
1835 (scmp @0 { tem; }))))))
1837 /* Convert ABS_EXPR<x> == 0 or ABS_EXPR<x> != 0 to x == 0 or x != 0. */
1840 (op (abs @0) zerop@1)
1843 /* From fold_sign_changed_comparison and fold_widened_comparison. */
1844 (for cmp (simple_comparison)
1846 (cmp (convert@0 @00) (convert?@1 @10))
1847 (if (TREE_CODE (TREE_TYPE (@0)) == INTEGER_TYPE
1848 /* Disable this optimization if we're casting a function pointer
1849 type on targets that require function pointer canonicalization. */
1850 && !(targetm.have_canonicalize_funcptr_for_compare ()
1851 && TREE_CODE (TREE_TYPE (@00)) == POINTER_TYPE
1852 && TREE_CODE (TREE_TYPE (TREE_TYPE (@00))) == FUNCTION_TYPE)
1854 (if (TYPE_PRECISION (TREE_TYPE (@00)) == TYPE_PRECISION (TREE_TYPE (@0))
1855 && (TREE_CODE (@10) == INTEGER_CST
1856 || (@1 != @10 && types_match (TREE_TYPE (@10), TREE_TYPE (@00))))
1857 && (TYPE_UNSIGNED (TREE_TYPE (@00)) == TYPE_UNSIGNED (TREE_TYPE (@0))
1860 && (POINTER_TYPE_P (TREE_TYPE (@00)) == POINTER_TYPE_P (TREE_TYPE (@0))))
1861 /* ??? The special-casing of INTEGER_CST conversion was in the original
1862 code and here to avoid a spurious overflow flag on the resulting
1863 constant which fold_convert produces. */
1864 (if (TREE_CODE (@1) == INTEGER_CST)
1865 (cmp @00 { force_fit_type (TREE_TYPE (@00), wi::to_widest (@1), 0,
1866 TREE_OVERFLOW (@1)); })
1867 (cmp @00 (convert @1)))
1869 (if (TYPE_PRECISION (TREE_TYPE (@0)) > TYPE_PRECISION (TREE_TYPE (@00)))
1870 /* If possible, express the comparison in the shorter mode. */
1871 (if ((cmp == EQ_EXPR || cmp == NE_EXPR
1872 || TYPE_UNSIGNED (TREE_TYPE (@0)) == TYPE_UNSIGNED (TREE_TYPE (@00)))
1873 && (types_match (TREE_TYPE (@10), TREE_TYPE (@00))
1874 || ((TYPE_PRECISION (TREE_TYPE (@00))
1875 >= TYPE_PRECISION (TREE_TYPE (@10)))
1876 && (TYPE_UNSIGNED (TREE_TYPE (@00))
1877 == TYPE_UNSIGNED (TREE_TYPE (@10))))
1878 || (TREE_CODE (@10) == INTEGER_CST
1879 && (TREE_CODE (TREE_TYPE (@00)) == INTEGER_TYPE
1880 || TREE_CODE (TREE_TYPE (@00)) == BOOLEAN_TYPE)
1881 && int_fits_type_p (@10, TREE_TYPE (@00)))))
1882 (cmp @00 (convert @10))
1883 (if (TREE_CODE (@10) == INTEGER_CST
1884 && TREE_CODE (TREE_TYPE (@00)) == INTEGER_TYPE
1885 && !int_fits_type_p (@10, TREE_TYPE (@00)))
1888 tree min = lower_bound_in_type (TREE_TYPE (@10), TREE_TYPE (@00));
1889 tree max = upper_bound_in_type (TREE_TYPE (@10), TREE_TYPE (@00));
1890 bool above = integer_nonzerop (const_binop (LT_EXPR, type, max, @10));
1891 bool below = integer_nonzerop (const_binop (LT_EXPR, type, @10, min));
1893 (if (above || below)
1894 (if (cmp == EQ_EXPR || cmp == NE_EXPR)
1895 { constant_boolean_node (cmp == EQ_EXPR ? false : true, type); }
1896 (if (cmp == LT_EXPR || cmp == LE_EXPR)
1897 { constant_boolean_node (above ? true : false, type); }
1898 (if (cmp == GT_EXPR || cmp == GE_EXPR)
1899 { constant_boolean_node (above ? false : true, type); }))))))))))))
1902 /* A local variable can never be pointed to by
1903 the default SSA name of an incoming parameter.
1904 SSA names are canonicalized to 2nd place. */
1906 (cmp addr@0 SSA_NAME@1)
1907 (if (SSA_NAME_IS_DEFAULT_DEF (@1)
1908 && TREE_CODE (SSA_NAME_VAR (@1)) == PARM_DECL)
1909 (with { tree base = get_base_address (TREE_OPERAND (@0, 0)); }
1910 (if (TREE_CODE (base) == VAR_DECL
1911 && auto_var_in_fn_p (base, current_function_decl))
1912 (if (cmp == NE_EXPR)
1913 { constant_boolean_node (true, type); }
1914 { constant_boolean_node (false, type); }))))))
1916 /* Equality compare simplifications from fold_binary */
1919 /* If we have (A | C) == D where C & ~D != 0, convert this into 0.
1920 Similarly for NE_EXPR. */
1922 (cmp (convert?@3 (bit_ior @0 INTEGER_CST@1)) INTEGER_CST@2)
1923 (if (tree_nop_conversion_p (TREE_TYPE (@3), TREE_TYPE (@0))
1924 && wi::bit_and_not (@1, @2) != 0)
1925 { constant_boolean_node (cmp == NE_EXPR, type); }))
1927 /* (X ^ Y) == 0 becomes X == Y, and (X ^ Y) != 0 becomes X != Y. */
1929 (cmp (bit_xor @0 @1) integer_zerop)
1932 /* (X ^ Y) == Y becomes X == 0.
1933 Likewise (X ^ Y) == X becomes Y == 0. */
1935 (cmp:c (bit_xor:c @0 @1) @0)
1936 (cmp @1 { build_zero_cst (TREE_TYPE (@1)); }))
1938 /* (X ^ C1) op C2 can be rewritten as X op (C1 ^ C2). */
1940 (cmp (convert?@3 (bit_xor @0 INTEGER_CST@1)) INTEGER_CST@2)
1941 (if (tree_nop_conversion_p (TREE_TYPE (@3), TREE_TYPE (@0)))
1942 (cmp @0 (bit_xor @1 (convert @2)))))
1945 (cmp (convert? addr@0) integer_zerop)
1946 (if (tree_single_nonzero_warnv_p (@0, NULL))
1947 { constant_boolean_node (cmp == NE_EXPR, type); })))
1949 /* If we have (A & C) == C where C is a power of 2, convert this into
1950 (A & C) != 0. Similarly for NE_EXPR. */
1954 (cmp (bit_and@2 @0 integer_pow2p@1) @1)
1955 (icmp @2 { build_zero_cst (TREE_TYPE (@0)); })))
1957 /* If we have (A & C) != 0 where C is the sign bit of A, convert
1958 this into A < 0. Similarly for (A & C) == 0 into A >= 0. */
1962 (cmp (bit_and (convert?@2 @0) integer_pow2p@1) integer_zerop)
1963 (if (INTEGRAL_TYPE_P (TREE_TYPE (@0))
1964 && (TYPE_PRECISION (TREE_TYPE (@0))
1965 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
1966 && element_precision (@2) >= element_precision (@0)
1967 && wi::only_sign_bit_p (@1, element_precision (@0)))
1968 (with { tree stype = signed_type_for (TREE_TYPE (@0)); }
1969 (ncmp (convert:stype @0) { build_zero_cst (stype); })))))
1971 /* When the addresses are not directly of decls compare base and offset.
1972 This implements some remaining parts of fold_comparison address
1973 comparisons but still no complete part of it. Still it is good
1974 enough to make fold_stmt not regress when not dispatching to fold_binary. */
1975 (for cmp (simple_comparison)
1977 (cmp (convert1?@2 addr@0) (convert2? addr@1))
1980 HOST_WIDE_INT off0, off1;
1981 tree base0 = get_addr_base_and_unit_offset (TREE_OPERAND (@0, 0), &off0);
1982 tree base1 = get_addr_base_and_unit_offset (TREE_OPERAND (@1, 0), &off1);
1983 if (base0 && TREE_CODE (base0) == MEM_REF)
1985 off0 += mem_ref_offset (base0).to_short_addr ();
1986 base0 = TREE_OPERAND (base0, 0);
1988 if (base1 && TREE_CODE (base1) == MEM_REF)
1990 off1 += mem_ref_offset (base1).to_short_addr ();
1991 base1 = TREE_OPERAND (base1, 0);
1994 (if (base0 && base1)
1998 if (decl_in_symtab_p (base0)
1999 && decl_in_symtab_p (base1))
2000 equal = symtab_node::get_create (base0)
2001 ->equal_address_to (symtab_node::get_create (base1));
2002 else if ((DECL_P (base0)
2003 || TREE_CODE (base0) == SSA_NAME
2004 || TREE_CODE (base0) == STRING_CST)
2006 || TREE_CODE (base1) == SSA_NAME
2007 || TREE_CODE (base1) == STRING_CST))
2008 equal = (base0 == base1);
2011 && (cmp == EQ_EXPR || cmp == NE_EXPR
2012 /* If the offsets are equal we can ignore overflow. */
2014 || POINTER_TYPE_OVERFLOW_UNDEFINED
2015 /* Or if we compare using pointers to decls or strings. */
2016 || (POINTER_TYPE_P (TREE_TYPE (@2))
2017 && (DECL_P (base0) || TREE_CODE (base0) == STRING_CST))))
2019 (if (cmp == EQ_EXPR)
2020 { constant_boolean_node (off0 == off1, type); })
2021 (if (cmp == NE_EXPR)
2022 { constant_boolean_node (off0 != off1, type); })
2023 (if (cmp == LT_EXPR)
2024 { constant_boolean_node (off0 < off1, type); })
2025 (if (cmp == LE_EXPR)
2026 { constant_boolean_node (off0 <= off1, type); })
2027 (if (cmp == GE_EXPR)
2028 { constant_boolean_node (off0 >= off1, type); })
2029 (if (cmp == GT_EXPR)
2030 { constant_boolean_node (off0 > off1, type); }))
2032 && DECL_P (base0) && DECL_P (base1)
2033 /* If we compare this as integers require equal offset. */
2034 && (!INTEGRAL_TYPE_P (TREE_TYPE (@2))
2037 (if (cmp == EQ_EXPR)
2038 { constant_boolean_node (false, type); })
2039 (if (cmp == NE_EXPR)
2040 { constant_boolean_node (true, type); })))))))))
2042 /* Non-equality compare simplifications from fold_binary */
2043 (for cmp (lt gt le ge)
2044 /* Comparisons with the highest or lowest possible integer of
2045 the specified precision will have known values. */
2047 (cmp (convert?@2 @0) INTEGER_CST@1)
2048 (if ((INTEGRAL_TYPE_P (TREE_TYPE (@1)) || POINTER_TYPE_P (TREE_TYPE (@1)))
2049 && tree_nop_conversion_p (TREE_TYPE (@2), TREE_TYPE (@0)))
2052 tree arg1_type = TREE_TYPE (@1);
2053 unsigned int prec = TYPE_PRECISION (arg1_type);
2054 wide_int max = wi::max_value (arg1_type);
2055 wide_int signed_max = wi::max_value (prec, SIGNED);
2056 wide_int min = wi::min_value (arg1_type);
2059 (if (wi::eq_p (@1, max))
2061 (if (cmp == GT_EXPR)
2062 { constant_boolean_node (false, type); })
2063 (if (cmp == GE_EXPR)
2065 (if (cmp == LE_EXPR)
2066 { constant_boolean_node (true, type); })
2067 (if (cmp == LT_EXPR)
2069 (if (wi::eq_p (@1, min))
2071 (if (cmp == LT_EXPR)
2072 { constant_boolean_node (false, type); })
2073 (if (cmp == LE_EXPR)
2075 (if (cmp == GE_EXPR)
2076 { constant_boolean_node (true, type); })
2077 (if (cmp == GT_EXPR)
2079 (if (wi::eq_p (@1, max - 1))
2081 (if (cmp == GT_EXPR)
2082 (eq @2 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))
2083 (if (cmp == LE_EXPR)
2084 (ne @2 { wide_int_to_tree (TREE_TYPE (@1), wi::add (@1, 1)); }))))
2085 (if (wi::eq_p (@1, min + 1))
2087 (if (cmp == GE_EXPR)
2088 (ne @2 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))
2089 (if (cmp == LT_EXPR)
2090 (eq @2 { wide_int_to_tree (TREE_TYPE (@1), wi::sub (@1, 1)); }))))
2091 (if (wi::eq_p (@1, signed_max)
2092 && TYPE_UNSIGNED (arg1_type)
2093 /* We will flip the signedness of the comparison operator
2094 associated with the mode of @1, so the sign bit is
2095 specified by this mode. Check that @1 is the signed
2096 max associated with this sign bit. */
2097 && prec == GET_MODE_PRECISION (TYPE_MODE (arg1_type))
2098 /* signed_type does not work on pointer types. */
2099 && INTEGRAL_TYPE_P (arg1_type))
2100 /* The following case also applies to X < signed_max+1
2101 and X >= signed_max+1 because previous transformations. */
2102 (if (cmp == LE_EXPR || cmp == GT_EXPR)
2103 (with { tree st = signed_type_for (arg1_type); }
2104 (if (cmp == LE_EXPR)
2105 (ge (convert:st @0) { build_zero_cst (st); })
2106 (lt (convert:st @0) { build_zero_cst (st); }))))))))))
2108 (for cmp (unordered ordered unlt unle ungt unge uneq ltgt)
2109 /* If the second operand is NaN, the result is constant. */
2112 (if (REAL_VALUE_ISNAN (TREE_REAL_CST (@1))
2113 && (cmp != LTGT_EXPR || ! flag_trapping_math))
2114 { constant_boolean_node (cmp == ORDERED_EXPR || cmp == LTGT_EXPR
2115 ? false : true, type); })))
2117 /* bool_var != 0 becomes bool_var. */
2119 (ne @0 integer_zerop)
2120 (if (TREE_CODE (TREE_TYPE (@0)) == BOOLEAN_TYPE
2121 && types_match (type, TREE_TYPE (@0)))
2123 /* bool_var == 1 becomes bool_var. */
2125 (eq @0 integer_onep)
2126 (if (TREE_CODE (TREE_TYPE (@0)) == BOOLEAN_TYPE
2127 && types_match (type, TREE_TYPE (@0)))
2130 bool_var == 0 becomes !bool_var or
2131 bool_var != 1 becomes !bool_var
2132 here because that only is good in assignment context as long
2133 as we require a tcc_comparison in GIMPLE_CONDs where we'd
2134 replace if (x == 0) with tem = ~x; if (tem != 0) which is
2135 clearly less optimal and which we'll transform again in forwprop. */
2138 /* Simplification of math builtins. */
2140 /* fold_builtin_logarithm */
2141 (if (flag_unsafe_math_optimizations)
2143 /* Simplify sqrt(x) * sqrt(x) -> x. */
2145 (mult (SQRT@1 @0) @1)
2146 (if (!HONOR_SNANS (type))
2149 /* Simplify sqrt(x) * sqrt(y) -> sqrt(x*y). */
2150 (for root (SQRT CBRT)
2152 (mult (root:s @0) (root:s @1))
2153 (root (mult @0 @1))))
2155 /* Simplify pow(x,y) * pow(x,z) -> pow(x,y+z). */
2157 (mult (POW:s @0 @1) (POW:s @0 @2))
2158 (POW @0 (plus @1 @2)))
2160 /* Simplify pow(x,y) * pow(z,y) -> pow(x*z,y). */
2162 (mult (POW:s @0 @1) (POW:s @2 @1))
2163 (POW (mult @0 @2) @1))
2165 /* Simplify expN(x) * expN(y) -> expN(x+y). */
2166 (for exps (EXP EXP2 EXP10 POW10)
2168 (mult (exps:s @0) (exps:s @1))
2169 (exps (plus @0 @1))))
2171 /* Simplify tan(x) * cos(x) -> sin(x). */
2173 (mult:c (TAN:s @0) (COS:s @0))
2176 /* Simplify x * pow(x,c) -> pow(x,c+1). */
2178 (mult @0 (POW:s @0 REAL_CST@1))
2179 (if (!TREE_OVERFLOW (@1))
2180 (POW @0 (plus @1 { build_one_cst (type); }))))
2182 /* Simplify sin(x) / cos(x) -> tan(x). */
2184 (rdiv (SIN:s @0) (COS:s @0))
2187 /* Simplify cos(x) / sin(x) -> 1 / tan(x). */
2189 (rdiv (COS:s @0) (SIN:s @0))
2190 (rdiv { build_one_cst (type); } (TAN @0)))
2192 /* Simplify sin(x) / tan(x) -> cos(x). */
2194 (rdiv (SIN:s @0) (TAN:s @0))
2195 (if (! HONOR_NANS (@0)
2196 && ! HONOR_INFINITIES (@0))
2199 /* Simplify tan(x) / sin(x) -> 1.0 / cos(x). */
2201 (rdiv (TAN:s @0) (SIN:s @0))
2202 (if (! HONOR_NANS (@0)
2203 && ! HONOR_INFINITIES (@0))
2204 (rdiv { build_one_cst (type); } (COS @0))))
2206 /* Simplify pow(x,c) / x -> pow(x,c-1). */
2208 (rdiv (POW:s @0 REAL_CST@1) @0)
2209 (if (!TREE_OVERFLOW (@1))
2210 (POW @0 (minus @1 { build_one_cst (type); }))))
2212 /* Simplify a/root(b/c) into a*root(c/b). */
2213 (for root (SQRT CBRT)
2215 (rdiv @0 (root:s (rdiv:s @1 @2)))
2216 (mult @0 (root (rdiv @2 @1)))))
2218 /* Simplify x/expN(y) into x*expN(-y). */
2219 (for exps (EXP EXP2 EXP10 POW10)
2221 (rdiv @0 (exps:s @1))
2222 (mult @0 (exps (negate @1)))))
2224 /* Simplify x / pow (y,z) -> x * pow(y,-z). */
2226 (rdiv @0 (POW:s @1 @2))
2227 (mult @0 (POW @1 (negate @2))))
2229 /* Special case, optimize logN(expN(x)) = x. */
2230 (for logs (LOG LOG2 LOG10 LOG10)
2231 exps (EXP EXP2 EXP10 POW10)
2235 /* Optimize logN(func()) for various exponential functions. We
2236 want to determine the value "x" and the power "exponent" in
2237 order to transform logN(x**exponent) into exponent*logN(x). */
2238 (for logs (LOG LOG LOG LOG2 LOG2 LOG2 LOG10 LOG10)
2239 exps (EXP2 EXP10 POW10 EXP EXP10 POW10 EXP EXP2)
2246 CASE_FLT_FN (BUILT_IN_EXP):
2247 /* Prepare to do logN(exp(exponent) -> exponent*logN(e). */
2248 x = build_real_truncate (type, dconst_e ());
2250 CASE_FLT_FN (BUILT_IN_EXP2):
2251 /* Prepare to do logN(exp2(exponent) -> exponent*logN(2). */
2252 x = build_real (type, dconst2);
2254 CASE_FLT_FN (BUILT_IN_EXP10):
2255 CASE_FLT_FN (BUILT_IN_POW10):
2256 /* Prepare to do logN(exp10(exponent) -> exponent*logN(10). */
2258 REAL_VALUE_TYPE dconst10;
2259 real_from_integer (&dconst10, VOIDmode, 10, SIGNED);
2260 x = build_real (type, dconst10);
2267 (mult (logs { x; }) @0))))
2278 CASE_FLT_FN (BUILT_IN_SQRT):
2279 /* Prepare to do logN(sqrt(x) -> 0.5*logN(x). */
2280 x = build_real (type, dconsthalf);
2282 CASE_FLT_FN (BUILT_IN_CBRT):
2283 /* Prepare to do logN(cbrt(x) -> (1/3)*logN(x). */
2284 x = build_real_truncate (type, dconst_third ());
2290 (mult { x; } (logs @0)))))
2291 /* logN(pow(x,exponent) -> exponent*logN(x). */
2292 (for logs (LOG LOG2 LOG10)
2296 (mult @1 (logs @0)))))
2298 /* Narrowing of arithmetic and logical operations.
2300 These are conceptually similar to the transformations performed for
2301 the C/C++ front-ends by shorten_binary_op and shorten_compare. Long
2302 term we want to move all that code out of the front-ends into here. */
2304 /* If we have a narrowing conversion of an arithmetic operation where
2305 both operands are widening conversions from the same type as the outer
2306 narrowing conversion. Then convert the innermost operands to a suitable
2307 unsigned type (to avoid introducing undefined behaviour), perform the
2308 operation and convert the result to the desired type. */
2309 (for op (plus minus)
2311 (convert (op:s (convert@2 @0) (convert@3 @1)))
2312 (if (INTEGRAL_TYPE_P (type)
2313 /* We check for type compatibility between @0 and @1 below,
2314 so there's no need to check that @1/@3 are integral types. */
2315 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
2316 && INTEGRAL_TYPE_P (TREE_TYPE (@2))
2317 /* The precision of the type of each operand must match the
2318 precision of the mode of each operand, similarly for the
2320 && (TYPE_PRECISION (TREE_TYPE (@0))
2321 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
2322 && (TYPE_PRECISION (TREE_TYPE (@1))
2323 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@1))))
2324 && TYPE_PRECISION (type) == GET_MODE_PRECISION (TYPE_MODE (type))
2325 /* The inner conversion must be a widening conversion. */
2326 && TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (TREE_TYPE (@0))
2327 && types_match (@0, @1)
2328 && types_match (@0, type))
2329 (if (TYPE_OVERFLOW_WRAPS (TREE_TYPE (@0)))
2330 (convert (op @0 @1))
2331 (with { tree utype = unsigned_type_for (TREE_TYPE (@0)); }
2332 (convert (op (convert:utype @0) (convert:utype @1))))))))
2334 /* This is another case of narrowing, specifically when there's an outer
2335 BIT_AND_EXPR which masks off bits outside the type of the innermost
2336 operands. Like the previous case we have to convert the operands
2337 to unsigned types to avoid introducing undefined behaviour for the
2338 arithmetic operation. */
2339 (for op (minus plus)
2341 (bit_and (op:s (convert@2 @0) (convert@3 @1)) INTEGER_CST@4)
2342 (if (INTEGRAL_TYPE_P (type)
2343 /* We check for type compatibility between @0 and @1 below,
2344 so there's no need to check that @1/@3 are integral types. */
2345 && INTEGRAL_TYPE_P (TREE_TYPE (@0))
2346 && INTEGRAL_TYPE_P (TREE_TYPE (@2))
2347 /* The precision of the type of each operand must match the
2348 precision of the mode of each operand, similarly for the
2350 && (TYPE_PRECISION (TREE_TYPE (@0))
2351 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@0))))
2352 && (TYPE_PRECISION (TREE_TYPE (@1))
2353 == GET_MODE_PRECISION (TYPE_MODE (TREE_TYPE (@1))))
2354 && TYPE_PRECISION (type) == GET_MODE_PRECISION (TYPE_MODE (type))
2355 /* The inner conversion must be a widening conversion. */
2356 && TYPE_PRECISION (TREE_TYPE (@2)) > TYPE_PRECISION (TREE_TYPE (@0))
2357 && types_match (@0, @1)
2358 && (tree_int_cst_min_precision (@4, TYPE_SIGN (TREE_TYPE (@0)))
2359 <= TYPE_PRECISION (TREE_TYPE (@0)))
2360 && (TYPE_OVERFLOW_WRAPS (TREE_TYPE (@0))
2361 || tree_int_cst_sgn (@4) >= 0))
2362 (if (TYPE_OVERFLOW_WRAPS (TREE_TYPE (@0)))
2363 (with { tree ntype = TREE_TYPE (@0); }
2364 (convert (bit_and (op @0 @1) (convert:ntype @4))))
2365 (with { tree utype = unsigned_type_for (TREE_TYPE (@0)); }
2366 (convert (bit_and (op (convert:utype @0) (convert:utype @1))
2367 (convert:utype @4))))))))
2369 (if (flag_unsafe_math_optimizations)
2372 exps (EXP EXP2 EXP10 POW10)
2373 /* sqrt(expN(x)) -> expN(x*0.5). */
2376 (exps (mult @0 { build_real (type, dconsthalf); })))
2377 /* cbrt(expN(x)) -> expN(x/3). */
2380 (exps (mult @0 { build_real_truncate (type, dconst_third ()); }))))
2385 /* sqrt(sqrt(x)) -> pow(x,1/4). */
2388 (pows @0 { build_real (type, dconst_quarter ()); }))
2389 /* sqrt(cbrt(x)) -> pow(x,1/6). */
2392 (pows @0 { build_real_truncate (type, dconst_sixth ()); }))
2393 /* cbrt(sqrt(x)) -> pow(x,1/6). */
2396 (pows @0 { build_real_truncate (type, dconst_sixth ()); }))
2397 /* cbrt(cbrt(x)) -> pow(x,1/9), iff x is nonnegative. */
2399 (cbrts (cbrts tree_expr_nonnegative_p@0))
2400 (pows @0 { build_real_truncate (type, dconst_ninth ()); }))
2401 /* sqrt(pow(x,y)) -> pow(|x|,y*0.5). */
2403 (sqrts (pows @0 @1))
2404 (pows (abs @0) (mult @1 { build_real (type, dconsthalf); })))
2405 /* cbrt(pow(x,y)) -> pow(x,y/3), iff x is nonnegative. */
2407 (cbrts (pows tree_expr_nonnegative_p@0 @1))
2408 (pows @0 (mult @1 { build_real_truncate (type, dconst_third ()); })))))