1 /*
2 * Copyright (c) 1997, 2023, Oracle and/or its affiliates. All rights reserved.
3 * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
4 *
5 * This code is free software; you can redistribute it and/or modify it
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11 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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23 */
24
25 #include "precompiled.hpp"
26 #include "memory/allocation.inline.hpp"
27 #include "opto/addnode.hpp"
28 #include "opto/connode.hpp"
29 #include "opto/convertnode.hpp"
30 #include "opto/divnode.hpp"
31 #include "opto/machnode.hpp"
32 #include "opto/movenode.hpp"
33 #include "opto/matcher.hpp"
34 #include "opto/mulnode.hpp"
35 #include "opto/phaseX.hpp"
36 #include "opto/subnode.hpp"
37 #include "utilities/powerOfTwo.hpp"
38
39 // Portions of code courtesy of Clifford Click
40
41 // Optimization - Graph Style
42
43 #include <math.h>
44
45 //----------------------magic_int_divide_constants-----------------------------
46 // Compute magic multiplier and shift constant for converting a 32 bit divide
47 // by constant into a multiply/shift/add series. Return false if calculations
48 // fail.
49 //
50 // Borrowed almost verbatim from Hacker's Delight by Henry S. Warren, Jr. with
51 // minor type name and parameter changes.
52 static bool magic_int_divide_constants(jint d, jint &M, jint &s) {
53 int32_t p;
54 uint32_t ad, anc, delta, q1, r1, q2, r2, t;
55 const uint32_t two31 = 0x80000000L; // 2**31.
56
57 ad = ABS(d);
58 if (d == 0 || d == 1) return false;
59 t = two31 + ((uint32_t)d >> 31);
60 anc = t - 1 - t%ad; // Absolute value of nc.
61 p = 31; // Init. p.
62 q1 = two31/anc; // Init. q1 = 2**p/|nc|.
63 r1 = two31 - q1*anc; // Init. r1 = rem(2**p, |nc|).
64 q2 = two31/ad; // Init. q2 = 2**p/|d|.
65 r2 = two31 - q2*ad; // Init. r2 = rem(2**p, |d|).
66 do {
67 p = p + 1;
68 q1 = 2*q1; // Update q1 = 2**p/|nc|.
69 r1 = 2*r1; // Update r1 = rem(2**p, |nc|).
70 if (r1 >= anc) { // (Must be an unsigned
71 q1 = q1 + 1; // comparison here).
72 r1 = r1 - anc;
73 }
74 q2 = 2*q2; // Update q2 = 2**p/|d|.
75 r2 = 2*r2; // Update r2 = rem(2**p, |d|).
76 if (r2 >= ad) { // (Must be an unsigned
77 q2 = q2 + 1; // comparison here).
78 r2 = r2 - ad;
79 }
80 delta = ad - r2;
81 } while (q1 < delta || (q1 == delta && r1 == 0));
82
83 M = q2 + 1;
84 if (d < 0) M = -M; // Magic number and
85 s = p - 32; // shift amount to return.
86
87 return true;
88 }
89
90 //--------------------------transform_int_divide-------------------------------
91 // Convert a division by constant divisor into an alternate Ideal graph.
92 // Return null if no transformation occurs.
93 static Node *transform_int_divide( PhaseGVN *phase, Node *dividend, jint divisor ) {
94
95 // Check for invalid divisors
96 assert( divisor != 0 && divisor != min_jint,
97 "bad divisor for transforming to long multiply" );
98
99 bool d_pos = divisor >= 0;
100 jint d = d_pos ? divisor : -divisor;
101 const int N = 32;
102
103 // Result
104 Node *q = nullptr;
105
106 if (d == 1) {
107 // division by +/- 1
108 if (!d_pos) {
109 // Just negate the value
110 q = new SubINode(phase->intcon(0), dividend);
111 }
112 } else if ( is_power_of_2(d) ) {
113 // division by +/- a power of 2
114
115 // See if we can simply do a shift without rounding
116 bool needs_rounding = true;
117 const Type *dt = phase->type(dividend);
118 const TypeInt *dti = dt->isa_int();
119 if (dti && dti->_lo >= 0) {
120 // we don't need to round a positive dividend
121 needs_rounding = false;
122 } else if( dividend->Opcode() == Op_AndI ) {
123 // An AND mask of sufficient size clears the low bits and
124 // I can avoid rounding.
125 const TypeInt *andconi_t = phase->type( dividend->in(2) )->isa_int();
126 if( andconi_t && andconi_t->is_con() ) {
127 jint andconi = andconi_t->get_con();
128 if( andconi < 0 && is_power_of_2(-andconi) && (-andconi) >= d ) {
129 if( (-andconi) == d ) // Remove AND if it clears bits which will be shifted
130 dividend = dividend->in(1);
131 needs_rounding = false;
132 }
133 }
134 }
135
136 // Add rounding to the shift to handle the sign bit
137 int l = log2i_graceful(d - 1) + 1;
138 if (needs_rounding) {
139 // Divide-by-power-of-2 can be made into a shift, but you have to do
140 // more math for the rounding. You need to add 0 for positive
141 // numbers, and "i-1" for negative numbers. Example: i=4, so the
142 // shift is by 2. You need to add 3 to negative dividends and 0 to
143 // positive ones. So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1,
144 // (-2+3)>>2 becomes 0, etc.
145
146 // Compute 0 or -1, based on sign bit
147 Node *sign = phase->transform(new RShiftINode(dividend, phase->intcon(N - 1)));
148 // Mask sign bit to the low sign bits
149 Node *round = phase->transform(new URShiftINode(sign, phase->intcon(N - l)));
150 // Round up before shifting
151 dividend = phase->transform(new AddINode(dividend, round));
152 }
153
154 // Shift for division
155 q = new RShiftINode(dividend, phase->intcon(l));
156
157 if (!d_pos) {
158 q = new SubINode(phase->intcon(0), phase->transform(q));
159 }
160 } else {
161 // Attempt the jint constant divide -> multiply transform found in
162 // "Division by Invariant Integers using Multiplication"
163 // by Granlund and Montgomery
164 // See also "Hacker's Delight", chapter 10 by Warren.
165
166 jint magic_const;
167 jint shift_const;
168 if (magic_int_divide_constants(d, magic_const, shift_const)) {
169 Node *magic = phase->longcon(magic_const);
170 Node *dividend_long = phase->transform(new ConvI2LNode(dividend));
171
172 // Compute the high half of the dividend x magic multiplication
173 Node *mul_hi = phase->transform(new MulLNode(dividend_long, magic));
174
175 if (magic_const < 0) {
176 mul_hi = phase->transform(new RShiftLNode(mul_hi, phase->intcon(N)));
177 mul_hi = phase->transform(new ConvL2INode(mul_hi));
178
179 // The magic multiplier is too large for a 32 bit constant. We've adjusted
180 // it down by 2^32, but have to add 1 dividend back in after the multiplication.
181 // This handles the "overflow" case described by Granlund and Montgomery.
182 mul_hi = phase->transform(new AddINode(dividend, mul_hi));
183
184 // Shift over the (adjusted) mulhi
185 if (shift_const != 0) {
186 mul_hi = phase->transform(new RShiftINode(mul_hi, phase->intcon(shift_const)));
187 }
188 } else {
189 // No add is required, we can merge the shifts together.
190 mul_hi = phase->transform(new RShiftLNode(mul_hi, phase->intcon(N + shift_const)));
191 mul_hi = phase->transform(new ConvL2INode(mul_hi));
192 }
193
194 // Get a 0 or -1 from the sign of the dividend.
195 Node *addend0 = mul_hi;
196 Node *addend1 = phase->transform(new RShiftINode(dividend, phase->intcon(N-1)));
197
198 // If the divisor is negative, swap the order of the input addends;
199 // this has the effect of negating the quotient.
200 if (!d_pos) {
201 Node *temp = addend0; addend0 = addend1; addend1 = temp;
202 }
203
204 // Adjust the final quotient by subtracting -1 (adding 1)
205 // from the mul_hi.
206 q = new SubINode(addend0, addend1);
207 }
208 }
209
210 return q;
211 }
212
213 //---------------------magic_long_divide_constants-----------------------------
214 // Compute magic multiplier and shift constant for converting a 64 bit divide
215 // by constant into a multiply/shift/add series. Return false if calculations
216 // fail.
217 //
218 // Borrowed almost verbatim from Hacker's Delight by Henry S. Warren, Jr. with
219 // minor type name and parameter changes. Adjusted to 64 bit word width.
220 static bool magic_long_divide_constants(jlong d, jlong &M, jint &s) {
221 int64_t p;
222 uint64_t ad, anc, delta, q1, r1, q2, r2, t;
223 const uint64_t two63 = UCONST64(0x8000000000000000); // 2**63.
224
225 ad = ABS(d);
226 if (d == 0 || d == 1) return false;
227 t = two63 + ((uint64_t)d >> 63);
228 anc = t - 1 - t%ad; // Absolute value of nc.
229 p = 63; // Init. p.
230 q1 = two63/anc; // Init. q1 = 2**p/|nc|.
231 r1 = two63 - q1*anc; // Init. r1 = rem(2**p, |nc|).
232 q2 = two63/ad; // Init. q2 = 2**p/|d|.
233 r2 = two63 - q2*ad; // Init. r2 = rem(2**p, |d|).
234 do {
235 p = p + 1;
236 q1 = 2*q1; // Update q1 = 2**p/|nc|.
237 r1 = 2*r1; // Update r1 = rem(2**p, |nc|).
238 if (r1 >= anc) { // (Must be an unsigned
239 q1 = q1 + 1; // comparison here).
240 r1 = r1 - anc;
241 }
242 q2 = 2*q2; // Update q2 = 2**p/|d|.
243 r2 = 2*r2; // Update r2 = rem(2**p, |d|).
244 if (r2 >= ad) { // (Must be an unsigned
245 q2 = q2 + 1; // comparison here).
246 r2 = r2 - ad;
247 }
248 delta = ad - r2;
249 } while (q1 < delta || (q1 == delta && r1 == 0));
250
251 M = q2 + 1;
252 if (d < 0) M = -M; // Magic number and
253 s = p - 64; // shift amount to return.
254
255 return true;
256 }
257
258 //---------------------long_by_long_mulhi--------------------------------------
259 // Generate ideal node graph for upper half of a 64 bit x 64 bit multiplication
260 static Node* long_by_long_mulhi(PhaseGVN* phase, Node* dividend, jlong magic_const) {
261 // If the architecture supports a 64x64 mulhi, there is
262 // no need to synthesize it in ideal nodes.
263 if (Matcher::has_match_rule(Op_MulHiL)) {
264 Node* v = phase->longcon(magic_const);
265 return new MulHiLNode(dividend, v);
266 }
267
268 // Taken from Hacker's Delight, Fig. 8-2. Multiply high signed.
269 //
270 // int mulhs(int u, int v) {
271 // unsigned u0, v0, w0;
272 // int u1, v1, w1, w2, t;
273 //
274 // u0 = u & 0xFFFF; u1 = u >> 16;
275 // v0 = v & 0xFFFF; v1 = v >> 16;
276 // w0 = u0*v0;
277 // t = u1*v0 + (w0 >> 16);
278 // w1 = t & 0xFFFF;
279 // w2 = t >> 16;
280 // w1 = u0*v1 + w1;
281 // return u1*v1 + w2 + (w1 >> 16);
282 // }
283 //
284 // Note: The version above is for 32x32 multiplications, while the
285 // following inline comments are adapted to 64x64.
286
287 const int N = 64;
288
289 // Dummy node to keep intermediate nodes alive during construction
290 Node* hook = new Node(4);
291
292 // u0 = u & 0xFFFFFFFF; u1 = u >> 32;
293 Node* u0 = phase->transform(new AndLNode(dividend, phase->longcon(0xFFFFFFFF)));
294 Node* u1 = phase->transform(new RShiftLNode(dividend, phase->intcon(N / 2)));
295 hook->init_req(0, u0);
296 hook->init_req(1, u1);
297
298 // v0 = v & 0xFFFFFFFF; v1 = v >> 32;
299 Node* v0 = phase->longcon(magic_const & 0xFFFFFFFF);
300 Node* v1 = phase->longcon(magic_const >> (N / 2));
301
302 // w0 = u0*v0;
303 Node* w0 = phase->transform(new MulLNode(u0, v0));
304
305 // t = u1*v0 + (w0 >> 32);
306 Node* u1v0 = phase->transform(new MulLNode(u1, v0));
307 Node* temp = phase->transform(new URShiftLNode(w0, phase->intcon(N / 2)));
308 Node* t = phase->transform(new AddLNode(u1v0, temp));
309 hook->init_req(2, t);
310
311 // w1 = t & 0xFFFFFFFF;
312 Node* w1 = phase->transform(new AndLNode(t, phase->longcon(0xFFFFFFFF)));
313 hook->init_req(3, w1);
314
315 // w2 = t >> 32;
316 Node* w2 = phase->transform(new RShiftLNode(t, phase->intcon(N / 2)));
317
318 // w1 = u0*v1 + w1;
319 Node* u0v1 = phase->transform(new MulLNode(u0, v1));
320 w1 = phase->transform(new AddLNode(u0v1, w1));
321
322 // return u1*v1 + w2 + (w1 >> 32);
323 Node* u1v1 = phase->transform(new MulLNode(u1, v1));
324 Node* temp1 = phase->transform(new AddLNode(u1v1, w2));
325 Node* temp2 = phase->transform(new RShiftLNode(w1, phase->intcon(N / 2)));
326
327 // Remove the bogus extra edges used to keep things alive
328 hook->destruct(phase);
329
330 return new AddLNode(temp1, temp2);
331 }
332
333
334 //--------------------------transform_long_divide------------------------------
335 // Convert a division by constant divisor into an alternate Ideal graph.
336 // Return null if no transformation occurs.
337 static Node *transform_long_divide( PhaseGVN *phase, Node *dividend, jlong divisor ) {
338 // Check for invalid divisors
339 assert( divisor != 0L && divisor != min_jlong,
340 "bad divisor for transforming to long multiply" );
341
342 bool d_pos = divisor >= 0;
343 jlong d = d_pos ? divisor : -divisor;
344 const int N = 64;
345
346 // Result
347 Node *q = nullptr;
348
349 if (d == 1) {
350 // division by +/- 1
351 if (!d_pos) {
352 // Just negate the value
353 q = new SubLNode(phase->longcon(0), dividend);
354 }
355 } else if ( is_power_of_2(d) ) {
356
357 // division by +/- a power of 2
358
359 // See if we can simply do a shift without rounding
360 bool needs_rounding = true;
361 const Type *dt = phase->type(dividend);
362 const TypeLong *dtl = dt->isa_long();
363
364 if (dtl && dtl->_lo > 0) {
365 // we don't need to round a positive dividend
366 needs_rounding = false;
367 } else if( dividend->Opcode() == Op_AndL ) {
368 // An AND mask of sufficient size clears the low bits and
369 // I can avoid rounding.
370 const TypeLong *andconl_t = phase->type( dividend->in(2) )->isa_long();
371 if( andconl_t && andconl_t->is_con() ) {
372 jlong andconl = andconl_t->get_con();
373 if( andconl < 0 && is_power_of_2(-andconl) && (-andconl) >= d ) {
374 if( (-andconl) == d ) // Remove AND if it clears bits which will be shifted
375 dividend = dividend->in(1);
376 needs_rounding = false;
377 }
378 }
379 }
380
381 // Add rounding to the shift to handle the sign bit
382 int l = log2i_graceful(d - 1) + 1;
383 if (needs_rounding) {
384 // Divide-by-power-of-2 can be made into a shift, but you have to do
385 // more math for the rounding. You need to add 0 for positive
386 // numbers, and "i-1" for negative numbers. Example: i=4, so the
387 // shift is by 2. You need to add 3 to negative dividends and 0 to
388 // positive ones. So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1,
389 // (-2+3)>>2 becomes 0, etc.
390
391 // Compute 0 or -1, based on sign bit
392 Node *sign = phase->transform(new RShiftLNode(dividend, phase->intcon(N - 1)));
393 // Mask sign bit to the low sign bits
394 Node *round = phase->transform(new URShiftLNode(sign, phase->intcon(N - l)));
395 // Round up before shifting
396 dividend = phase->transform(new AddLNode(dividend, round));
397 }
398
399 // Shift for division
400 q = new RShiftLNode(dividend, phase->intcon(l));
401
402 if (!d_pos) {
403 q = new SubLNode(phase->longcon(0), phase->transform(q));
404 }
405 } else if ( !Matcher::use_asm_for_ldiv_by_con(d) ) { // Use hardware DIV instruction when
406 // it is faster than code generated below.
407 // Attempt the jlong constant divide -> multiply transform found in
408 // "Division by Invariant Integers using Multiplication"
409 // by Granlund and Montgomery
410 // See also "Hacker's Delight", chapter 10 by Warren.
411
412 jlong magic_const;
413 jint shift_const;
414 if (magic_long_divide_constants(d, magic_const, shift_const)) {
415 // Compute the high half of the dividend x magic multiplication
416 Node *mul_hi = phase->transform(long_by_long_mulhi(phase, dividend, magic_const));
417
418 // The high half of the 128-bit multiply is computed.
419 if (magic_const < 0) {
420 // The magic multiplier is too large for a 64 bit constant. We've adjusted
421 // it down by 2^64, but have to add 1 dividend back in after the multiplication.
422 // This handles the "overflow" case described by Granlund and Montgomery.
423 mul_hi = phase->transform(new AddLNode(dividend, mul_hi));
424 }
425
426 // Shift over the (adjusted) mulhi
427 if (shift_const != 0) {
428 mul_hi = phase->transform(new RShiftLNode(mul_hi, phase->intcon(shift_const)));
429 }
430
431 // Get a 0 or -1 from the sign of the dividend.
432 Node *addend0 = mul_hi;
433 Node *addend1 = phase->transform(new RShiftLNode(dividend, phase->intcon(N-1)));
434
435 // If the divisor is negative, swap the order of the input addends;
436 // this has the effect of negating the quotient.
437 if (!d_pos) {
438 Node *temp = addend0; addend0 = addend1; addend1 = temp;
439 }
440
441 // Adjust the final quotient by subtracting -1 (adding 1)
442 // from the mul_hi.
443 q = new SubLNode(addend0, addend1);
444 }
445 }
446
447 return q;
448 }
449
450 //=============================================================================
451 //------------------------------Identity---------------------------------------
452 // If the divisor is 1, we are an identity on the dividend.
453 Node* DivINode::Identity(PhaseGVN* phase) {
454 return (phase->type( in(2) )->higher_equal(TypeInt::ONE)) ? in(1) : this;
455 }
456
457 //------------------------------Idealize---------------------------------------
458 // Divides can be changed to multiplies and/or shifts
459 Node *DivINode::Ideal(PhaseGVN *phase, bool can_reshape) {
460 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
461 // Don't bother trying to transform a dead node
462 if( in(0) && in(0)->is_top() ) return nullptr;
463
464 const Type *t = phase->type( in(2) );
465 if( t == TypeInt::ONE ) // Identity?
466 return nullptr; // Skip it
467
468 const TypeInt *ti = t->isa_int();
469 if( !ti ) return nullptr;
470
471 // Check for useless control input
472 // Check for excluding div-zero case
473 if (in(0) && (ti->_hi < 0 || ti->_lo > 0)) {
474 set_req(0, nullptr); // Yank control input
475 return this;
476 }
477
478 if( !ti->is_con() ) return nullptr;
479 jint i = ti->get_con(); // Get divisor
480
481 if (i == 0) return nullptr; // Dividing by zero constant does not idealize
482
483 // Dividing by MININT does not optimize as a power-of-2 shift.
484 if( i == min_jint ) return nullptr;
485
486 return transform_int_divide( phase, in(1), i );
487 }
488
489 //------------------------------Value------------------------------------------
490 // A DivINode divides its inputs. The third input is a Control input, used to
491 // prevent hoisting the divide above an unsafe test.
492 const Type* DivINode::Value(PhaseGVN* phase) const {
493 // Either input is TOP ==> the result is TOP
494 const Type *t1 = phase->type( in(1) );
495 const Type *t2 = phase->type( in(2) );
496 if( t1 == Type::TOP ) return Type::TOP;
497 if( t2 == Type::TOP ) return Type::TOP;
498
499 // x/x == 1 since we always generate the dynamic divisor check for 0.
500 if (in(1) == in(2)) {
501 return TypeInt::ONE;
502 }
503
504 // Either input is BOTTOM ==> the result is the local BOTTOM
505 const Type *bot = bottom_type();
506 if( (t1 == bot) || (t2 == bot) ||
507 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
508 return bot;
509
510 // Divide the two numbers. We approximate.
511 // If divisor is a constant and not zero
512 const TypeInt *i1 = t1->is_int();
513 const TypeInt *i2 = t2->is_int();
514 int widen = MAX2(i1->_widen, i2->_widen);
515
516 if( i2->is_con() && i2->get_con() != 0 ) {
517 int32_t d = i2->get_con(); // Divisor
518 jint lo, hi;
519 if( d >= 0 ) {
520 lo = i1->_lo/d;
521 hi = i1->_hi/d;
522 } else {
523 if( d == -1 && i1->_lo == min_jint ) {
524 // 'min_jint/-1' throws arithmetic exception during compilation
525 lo = min_jint;
526 // do not support holes, 'hi' must go to either min_jint or max_jint:
527 // [min_jint, -10]/[-1,-1] ==> [min_jint] UNION [10,max_jint]
528 hi = i1->_hi == min_jint ? min_jint : max_jint;
529 } else {
530 lo = i1->_hi/d;
531 hi = i1->_lo/d;
532 }
533 }
534 return TypeInt::make(lo, hi, widen);
535 }
536
537 // If the dividend is a constant
538 if( i1->is_con() ) {
539 int32_t d = i1->get_con();
540 if( d < 0 ) {
541 if( d == min_jint ) {
542 // (-min_jint) == min_jint == (min_jint / -1)
543 return TypeInt::make(min_jint, max_jint/2 + 1, widen);
544 } else {
545 return TypeInt::make(d, -d, widen);
546 }
547 }
548 return TypeInt::make(-d, d, widen);
549 }
550
551 // Otherwise we give up all hope
552 return TypeInt::INT;
553 }
554
555
556 //=============================================================================
557 //------------------------------Identity---------------------------------------
558 // If the divisor is 1, we are an identity on the dividend.
559 Node* DivLNode::Identity(PhaseGVN* phase) {
560 return (phase->type( in(2) )->higher_equal(TypeLong::ONE)) ? in(1) : this;
561 }
562
563 //------------------------------Idealize---------------------------------------
564 // Dividing by a power of 2 is a shift.
565 Node *DivLNode::Ideal( PhaseGVN *phase, bool can_reshape) {
566 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
567 // Don't bother trying to transform a dead node
568 if( in(0) && in(0)->is_top() ) return nullptr;
569
570 const Type *t = phase->type( in(2) );
571 if( t == TypeLong::ONE ) // Identity?
572 return nullptr; // Skip it
573
574 const TypeLong *tl = t->isa_long();
575 if( !tl ) return nullptr;
576
577 // Check for useless control input
578 // Check for excluding div-zero case
579 if (in(0) && (tl->_hi < 0 || tl->_lo > 0)) {
580 set_req(0, nullptr); // Yank control input
581 return this;
582 }
583
584 if( !tl->is_con() ) return nullptr;
585 jlong l = tl->get_con(); // Get divisor
586
587 if (l == 0) return nullptr; // Dividing by zero constant does not idealize
588
589 // Dividing by MINLONG does not optimize as a power-of-2 shift.
590 if( l == min_jlong ) return nullptr;
591
592 return transform_long_divide( phase, in(1), l );
593 }
594
595 //------------------------------Value------------------------------------------
596 // A DivLNode divides its inputs. The third input is a Control input, used to
597 // prevent hoisting the divide above an unsafe test.
598 const Type* DivLNode::Value(PhaseGVN* phase) const {
599 // Either input is TOP ==> the result is TOP
600 const Type *t1 = phase->type( in(1) );
601 const Type *t2 = phase->type( in(2) );
602 if( t1 == Type::TOP ) return Type::TOP;
603 if( t2 == Type::TOP ) return Type::TOP;
604
605 // x/x == 1 since we always generate the dynamic divisor check for 0.
606 if (in(1) == in(2)) {
607 return TypeLong::ONE;
608 }
609
610 // Either input is BOTTOM ==> the result is the local BOTTOM
611 const Type *bot = bottom_type();
612 if( (t1 == bot) || (t2 == bot) ||
613 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
614 return bot;
615
616 // Divide the two numbers. We approximate.
617 // If divisor is a constant and not zero
618 const TypeLong *i1 = t1->is_long();
619 const TypeLong *i2 = t2->is_long();
620 int widen = MAX2(i1->_widen, i2->_widen);
621
622 if( i2->is_con() && i2->get_con() != 0 ) {
623 jlong d = i2->get_con(); // Divisor
624 jlong lo, hi;
625 if( d >= 0 ) {
626 lo = i1->_lo/d;
627 hi = i1->_hi/d;
628 } else {
629 if( d == CONST64(-1) && i1->_lo == min_jlong ) {
630 // 'min_jlong/-1' throws arithmetic exception during compilation
631 lo = min_jlong;
632 // do not support holes, 'hi' must go to either min_jlong or max_jlong:
633 // [min_jlong, -10]/[-1,-1] ==> [min_jlong] UNION [10,max_jlong]
634 hi = i1->_hi == min_jlong ? min_jlong : max_jlong;
635 } else {
636 lo = i1->_hi/d;
637 hi = i1->_lo/d;
638 }
639 }
640 return TypeLong::make(lo, hi, widen);
641 }
642
643 // If the dividend is a constant
644 if( i1->is_con() ) {
645 jlong d = i1->get_con();
646 if( d < 0 ) {
647 if( d == min_jlong ) {
648 // (-min_jlong) == min_jlong == (min_jlong / -1)
649 return TypeLong::make(min_jlong, max_jlong/2 + 1, widen);
650 } else {
651 return TypeLong::make(d, -d, widen);
652 }
653 }
654 return TypeLong::make(-d, d, widen);
655 }
656
657 // Otherwise we give up all hope
658 return TypeLong::LONG;
659 }
660
661
662 //=============================================================================
663 //------------------------------Value------------------------------------------
664 // An DivFNode divides its inputs. The third input is a Control input, used to
665 // prevent hoisting the divide above an unsafe test.
666 const Type* DivFNode::Value(PhaseGVN* phase) const {
667 // Either input is TOP ==> the result is TOP
668 const Type *t1 = phase->type( in(1) );
669 const Type *t2 = phase->type( in(2) );
670 if( t1 == Type::TOP ) return Type::TOP;
671 if( t2 == Type::TOP ) return Type::TOP;
672
673 // Either input is BOTTOM ==> the result is the local BOTTOM
674 const Type *bot = bottom_type();
675 if( (t1 == bot) || (t2 == bot) ||
676 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
677 return bot;
678
679 // x/x == 1, we ignore 0/0.
680 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
681 // Does not work for variables because of NaN's
682 if (in(1) == in(2) && t1->base() == Type::FloatCon &&
683 !g_isnan(t1->getf()) && g_isfinite(t1->getf()) && t1->getf() != 0.0) { // could be negative ZERO or NaN
684 return TypeF::ONE;
685 }
686
687 if( t2 == TypeF::ONE )
688 return t1;
689
690 // If divisor is a constant and not zero, divide them numbers
691 if( t1->base() == Type::FloatCon &&
692 t2->base() == Type::FloatCon &&
693 t2->getf() != 0.0 ) // could be negative zero
694 return TypeF::make( t1->getf()/t2->getf() );
695
696 // If the dividend is a constant zero
697 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
698 // Test TypeF::ZERO is not sufficient as it could be negative zero
699
700 if( t1 == TypeF::ZERO && !g_isnan(t2->getf()) && t2->getf() != 0.0 )
701 return TypeF::ZERO;
702
703 // Otherwise we give up all hope
704 return Type::FLOAT;
705 }
706
707 //------------------------------isA_Copy---------------------------------------
708 // Dividing by self is 1.
709 // If the divisor is 1, we are an identity on the dividend.
710 Node* DivFNode::Identity(PhaseGVN* phase) {
711 return (phase->type( in(2) ) == TypeF::ONE) ? in(1) : this;
712 }
713
714
715 //------------------------------Idealize---------------------------------------
716 Node *DivFNode::Ideal(PhaseGVN *phase, bool can_reshape) {
717 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
718 // Don't bother trying to transform a dead node
719 if( in(0) && in(0)->is_top() ) return nullptr;
720
721 const Type *t2 = phase->type( in(2) );
722 if( t2 == TypeF::ONE ) // Identity?
723 return nullptr; // Skip it
724
725 const TypeF *tf = t2->isa_float_constant();
726 if( !tf ) return nullptr;
727 if( tf->base() != Type::FloatCon ) return nullptr;
728
729 // Check for out of range values
730 if( tf->is_nan() || !tf->is_finite() ) return nullptr;
731
732 // Get the value
733 float f = tf->getf();
734 int exp;
735
736 // Only for special case of dividing by a power of 2
737 if( frexp((double)f, &exp) != 0.5 ) return nullptr;
738
739 // Limit the range of acceptable exponents
740 if( exp < -126 || exp > 126 ) return nullptr;
741
742 // Compute the reciprocal
743 float reciprocal = ((float)1.0) / f;
744
745 assert( frexp((double)reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
746
747 // return multiplication by the reciprocal
748 return (new MulFNode(in(1), phase->makecon(TypeF::make(reciprocal))));
749 }
750
751 //=============================================================================
752 //------------------------------Value------------------------------------------
753 // An DivDNode divides its inputs. The third input is a Control input, used to
754 // prevent hoisting the divide above an unsafe test.
755 const Type* DivDNode::Value(PhaseGVN* phase) const {
756 // Either input is TOP ==> the result is TOP
757 const Type *t1 = phase->type( in(1) );
758 const Type *t2 = phase->type( in(2) );
759 if( t1 == Type::TOP ) return Type::TOP;
760 if( t2 == Type::TOP ) return Type::TOP;
761
762 // Either input is BOTTOM ==> the result is the local BOTTOM
763 const Type *bot = bottom_type();
764 if( (t1 == bot) || (t2 == bot) ||
765 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
766 return bot;
767
768 // x/x == 1, we ignore 0/0.
769 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
770 // Does not work for variables because of NaN's
771 if (in(1) == in(2) && t1->base() == Type::DoubleCon &&
772 !g_isnan(t1->getd()) && g_isfinite(t1->getd()) && t1->getd() != 0.0) { // could be negative ZERO or NaN
773 return TypeD::ONE;
774 }
775
776 if( t2 == TypeD::ONE )
777 return t1;
778
779 // IA32 would only execute this for non-strict FP, which is never the
780 // case now.
781 #if ! defined(IA32)
782 // If divisor is a constant and not zero, divide them numbers
783 if( t1->base() == Type::DoubleCon &&
784 t2->base() == Type::DoubleCon &&
785 t2->getd() != 0.0 ) // could be negative zero
786 return TypeD::make( t1->getd()/t2->getd() );
787 #endif
788
789 // If the dividend is a constant zero
790 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
791 // Test TypeF::ZERO is not sufficient as it could be negative zero
792 if( t1 == TypeD::ZERO && !g_isnan(t2->getd()) && t2->getd() != 0.0 )
793 return TypeD::ZERO;
794
795 // Otherwise we give up all hope
796 return Type::DOUBLE;
797 }
798
799
800 //------------------------------isA_Copy---------------------------------------
801 // Dividing by self is 1.
802 // If the divisor is 1, we are an identity on the dividend.
803 Node* DivDNode::Identity(PhaseGVN* phase) {
804 return (phase->type( in(2) ) == TypeD::ONE) ? in(1) : this;
805 }
806
807 //------------------------------Idealize---------------------------------------
808 Node *DivDNode::Ideal(PhaseGVN *phase, bool can_reshape) {
809 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
810 // Don't bother trying to transform a dead node
811 if( in(0) && in(0)->is_top() ) return nullptr;
812
813 const Type *t2 = phase->type( in(2) );
814 if( t2 == TypeD::ONE ) // Identity?
815 return nullptr; // Skip it
816
817 const TypeD *td = t2->isa_double_constant();
818 if( !td ) return nullptr;
819 if( td->base() != Type::DoubleCon ) return nullptr;
820
821 // Check for out of range values
822 if( td->is_nan() || !td->is_finite() ) return nullptr;
823
824 // Get the value
825 double d = td->getd();
826 int exp;
827
828 // Only for special case of dividing by a power of 2
829 if( frexp(d, &exp) != 0.5 ) return nullptr;
830
831 // Limit the range of acceptable exponents
832 if( exp < -1021 || exp > 1022 ) return nullptr;
833
834 // Compute the reciprocal
835 double reciprocal = 1.0 / d;
836
837 assert( frexp(reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
838
839 // return multiplication by the reciprocal
840 return (new MulDNode(in(1), phase->makecon(TypeD::make(reciprocal))));
841 }
842
843 //=============================================================================
844 //------------------------------Identity---------------------------------------
845 // If the divisor is 1, we are an identity on the dividend.
846 Node* UDivINode::Identity(PhaseGVN* phase) {
847 return (phase->type( in(2) )->higher_equal(TypeInt::ONE)) ? in(1) : this;
848 }
849 //------------------------------Value------------------------------------------
850 // A UDivINode divides its inputs. The third input is a Control input, used to
851 // prevent hoisting the divide above an unsafe test.
852 const Type* UDivINode::Value(PhaseGVN* phase) const {
853 // Either input is TOP ==> the result is TOP
854 const Type *t1 = phase->type( in(1) );
855 const Type *t2 = phase->type( in(2) );
856 if( t1 == Type::TOP ) return Type::TOP;
857 if( t2 == Type::TOP ) return Type::TOP;
858
859 // x/x == 1 since we always generate the dynamic divisor check for 0.
860 if (in(1) == in(2)) {
861 return TypeInt::ONE;
862 }
863
864 // Either input is BOTTOM ==> the result is the local BOTTOM
865 const Type *bot = bottom_type();
866 if( (t1 == bot) || (t2 == bot) ||
867 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
868 return bot;
869
870 // Otherwise we give up all hope
871 return TypeInt::INT;
872 }
873
874 //------------------------------Idealize---------------------------------------
875 Node *UDivINode::Ideal(PhaseGVN *phase, bool can_reshape) {
876 // Check for dead control input
877 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
878 return nullptr;
879 }
880
881
882 //=============================================================================
883 //------------------------------Identity---------------------------------------
884 // If the divisor is 1, we are an identity on the dividend.
885 Node* UDivLNode::Identity(PhaseGVN* phase) {
886 return (phase->type( in(2) )->higher_equal(TypeLong::ONE)) ? in(1) : this;
887 }
888 //------------------------------Value------------------------------------------
889 // A UDivLNode divides its inputs. The third input is a Control input, used to
890 // prevent hoisting the divide above an unsafe test.
891 const Type* UDivLNode::Value(PhaseGVN* phase) const {
892 // Either input is TOP ==> the result is TOP
893 const Type *t1 = phase->type( in(1) );
894 const Type *t2 = phase->type( in(2) );
895 if( t1 == Type::TOP ) return Type::TOP;
896 if( t2 == Type::TOP ) return Type::TOP;
897
898 // x/x == 1 since we always generate the dynamic divisor check for 0.
899 if (in(1) == in(2)) {
900 return TypeLong::ONE;
901 }
902
903 // Either input is BOTTOM ==> the result is the local BOTTOM
904 const Type *bot = bottom_type();
905 if( (t1 == bot) || (t2 == bot) ||
906 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
907 return bot;
908
909 // Otherwise we give up all hope
910 return TypeLong::LONG;
911 }
912
913 //------------------------------Idealize---------------------------------------
914 Node *UDivLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
915 // Check for dead control input
916 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
917 return nullptr;
918 }
919
920
921 //=============================================================================
922 //------------------------------Idealize---------------------------------------
923 Node *ModINode::Ideal(PhaseGVN *phase, bool can_reshape) {
924 // Check for dead control input
925 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
926 // Don't bother trying to transform a dead node
927 if( in(0) && in(0)->is_top() ) return nullptr;
928
929 // Get the modulus
930 const Type *t = phase->type( in(2) );
931 if( t == Type::TOP ) return nullptr;
932 const TypeInt *ti = t->is_int();
933
934 // Check for useless control input
935 // Check for excluding mod-zero case
936 if (in(0) && (ti->_hi < 0 || ti->_lo > 0)) {
937 set_req(0, nullptr); // Yank control input
938 return this;
939 }
940
941 // See if we are MOD'ing by 2^k or 2^k-1.
942 if( !ti->is_con() ) return nullptr;
943 jint con = ti->get_con();
944
945 Node *hook = new Node(1);
946
947 // First, special check for modulo 2^k-1
948 if( con >= 0 && con < max_jint && is_power_of_2(con+1) ) {
949 uint k = exact_log2(con+1); // Extract k
950
951 // Basic algorithm by David Detlefs. See fastmod_int.java for gory details.
952 static int unroll_factor[] = { 999, 999, 29, 14, 9, 7, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/};
953 int trip_count = 1;
954 if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k];
955
956 // If the unroll factor is not too large, and if conditional moves are
957 // ok, then use this case
958 if( trip_count <= 5 && ConditionalMoveLimit != 0 ) {
959 Node *x = in(1); // Value being mod'd
960 Node *divisor = in(2); // Also is mask
961
962 hook->init_req(0, x); // Add a use to x to prevent him from dying
963 // Generate code to reduce X rapidly to nearly 2^k-1.
964 for( int i = 0; i < trip_count; i++ ) {
965 Node *xl = phase->transform( new AndINode(x,divisor) );
966 Node *xh = phase->transform( new RShiftINode(x,phase->intcon(k)) ); // Must be signed
967 x = phase->transform( new AddINode(xh,xl) );
968 hook->set_req(0, x);
969 }
970
971 // Generate sign-fixup code. Was original value positive?
972 // int hack_res = (i >= 0) ? divisor : 1;
973 Node *cmp1 = phase->transform( new CmpINode( in(1), phase->intcon(0) ) );
974 Node *bol1 = phase->transform( new BoolNode( cmp1, BoolTest::ge ) );
975 Node *cmov1= phase->transform( new CMoveINode(bol1, phase->intcon(1), divisor, TypeInt::POS) );
976 // if( x >= hack_res ) x -= divisor;
977 Node *sub = phase->transform( new SubINode( x, divisor ) );
978 Node *cmp2 = phase->transform( new CmpINode( x, cmov1 ) );
979 Node *bol2 = phase->transform( new BoolNode( cmp2, BoolTest::ge ) );
980 // Convention is to not transform the return value of an Ideal
981 // since Ideal is expected to return a modified 'this' or a new node.
982 Node *cmov2= new CMoveINode(bol2, x, sub, TypeInt::INT);
983 // cmov2 is now the mod
984
985 // Now remove the bogus extra edges used to keep things alive
986 hook->destruct(phase);
987 return cmov2;
988 }
989 }
990
991 // Fell thru, the unroll case is not appropriate. Transform the modulo
992 // into a long multiply/int multiply/subtract case
993
994 // Cannot handle mod 0, and min_jint isn't handled by the transform
995 if( con == 0 || con == min_jint ) return nullptr;
996
997 // Get the absolute value of the constant; at this point, we can use this
998 jint pos_con = (con >= 0) ? con : -con;
999
1000 // integer Mod 1 is always 0
1001 if( pos_con == 1 ) return new ConINode(TypeInt::ZERO);
1002
1003 int log2_con = -1;
1004
1005 // If this is a power of two, they maybe we can mask it
1006 if (is_power_of_2(pos_con)) {
1007 log2_con = log2i_exact(pos_con);
1008
1009 const Type *dt = phase->type(in(1));
1010 const TypeInt *dti = dt->isa_int();
1011
1012 // See if this can be masked, if the dividend is non-negative
1013 if( dti && dti->_lo >= 0 )
1014 return ( new AndINode( in(1), phase->intcon( pos_con-1 ) ) );
1015 }
1016
1017 // Save in(1) so that it cannot be changed or deleted
1018 hook->init_req(0, in(1));
1019
1020 // Divide using the transform from DivI to MulL
1021 Node *result = transform_int_divide( phase, in(1), pos_con );
1022 if (result != nullptr) {
1023 Node *divide = phase->transform(result);
1024
1025 // Re-multiply, using a shift if this is a power of two
1026 Node *mult = nullptr;
1027
1028 if( log2_con >= 0 )
1029 mult = phase->transform( new LShiftINode( divide, phase->intcon( log2_con ) ) );
1030 else
1031 mult = phase->transform( new MulINode( divide, phase->intcon( pos_con ) ) );
1032
1033 // Finally, subtract the multiplied divided value from the original
1034 result = new SubINode( in(1), mult );
1035 }
1036
1037 // Now remove the bogus extra edges used to keep things alive
1038 hook->destruct(phase);
1039
1040 // return the value
1041 return result;
1042 }
1043
1044 //------------------------------Value------------------------------------------
1045 const Type* ModINode::Value(PhaseGVN* phase) const {
1046 // Either input is TOP ==> the result is TOP
1047 const Type *t1 = phase->type( in(1) );
1048 const Type *t2 = phase->type( in(2) );
1049 if( t1 == Type::TOP ) return Type::TOP;
1050 if( t2 == Type::TOP ) return Type::TOP;
1051
1052 // We always generate the dynamic check for 0.
1053 // 0 MOD X is 0
1054 if( t1 == TypeInt::ZERO ) return TypeInt::ZERO;
1055 // X MOD X is 0
1056 if (in(1) == in(2)) {
1057 return TypeInt::ZERO;
1058 }
1059
1060 // Either input is BOTTOM ==> the result is the local BOTTOM
1061 const Type *bot = bottom_type();
1062 if( (t1 == bot) || (t2 == bot) ||
1063 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1064 return bot;
1065
1066 const TypeInt *i1 = t1->is_int();
1067 const TypeInt *i2 = t2->is_int();
1068 if( !i1->is_con() || !i2->is_con() ) {
1069 if( i1->_lo >= 0 && i2->_lo >= 0 )
1070 return TypeInt::POS;
1071 // If both numbers are not constants, we know little.
1072 return TypeInt::INT;
1073 }
1074 // Mod by zero? Throw exception at runtime!
1075 if( !i2->get_con() ) return TypeInt::POS;
1076
1077 // We must be modulo'ing 2 float constants.
1078 // Check for min_jint % '-1', result is defined to be '0'.
1079 if( i1->get_con() == min_jint && i2->get_con() == -1 )
1080 return TypeInt::ZERO;
1081
1082 return TypeInt::make( i1->get_con() % i2->get_con() );
1083 }
1084
1085 //=============================================================================
1086 //------------------------------Idealize---------------------------------------
1087 Node *UModINode::Ideal(PhaseGVN *phase, bool can_reshape) {
1088 // Check for dead control input
1089 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
1090 return nullptr;
1091 }
1092
1093 //=============================================================================
1094 //------------------------------Idealize---------------------------------------
1095 Node *ModLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
1096 // Check for dead control input
1097 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
1098 // Don't bother trying to transform a dead node
1099 if( in(0) && in(0)->is_top() ) return nullptr;
1100
1101 // Get the modulus
1102 const Type *t = phase->type( in(2) );
1103 if( t == Type::TOP ) return nullptr;
1104 const TypeLong *tl = t->is_long();
1105
1106 // Check for useless control input
1107 // Check for excluding mod-zero case
1108 if (in(0) && (tl->_hi < 0 || tl->_lo > 0)) {
1109 set_req(0, nullptr); // Yank control input
1110 return this;
1111 }
1112
1113 // See if we are MOD'ing by 2^k or 2^k-1.
1114 if( !tl->is_con() ) return nullptr;
1115 jlong con = tl->get_con();
1116
1117 Node *hook = new Node(1);
1118
1119 // Expand mod
1120 if(con >= 0 && con < max_jlong && is_power_of_2(con + 1)) {
1121 uint k = log2i_exact(con + 1); // Extract k
1122
1123 // Basic algorithm by David Detlefs. See fastmod_long.java for gory details.
1124 // Used to help a popular random number generator which does a long-mod
1125 // of 2^31-1 and shows up in SpecJBB and SciMark.
1126 static int unroll_factor[] = { 999, 999, 61, 30, 20, 15, 12, 10, 8, 7, 6, 6, 5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1 /*past here we assume 1 forever*/};
1127 int trip_count = 1;
1128 if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k];
1129
1130 // If the unroll factor is not too large, and if conditional moves are
1131 // ok, then use this case
1132 if( trip_count <= 5 && ConditionalMoveLimit != 0 ) {
1133 Node *x = in(1); // Value being mod'd
1134 Node *divisor = in(2); // Also is mask
1135
1136 hook->init_req(0, x); // Add a use to x to prevent him from dying
1137 // Generate code to reduce X rapidly to nearly 2^k-1.
1138 for( int i = 0; i < trip_count; i++ ) {
1139 Node *xl = phase->transform( new AndLNode(x,divisor) );
1140 Node *xh = phase->transform( new RShiftLNode(x,phase->intcon(k)) ); // Must be signed
1141 x = phase->transform( new AddLNode(xh,xl) );
1142 hook->set_req(0, x); // Add a use to x to prevent him from dying
1143 }
1144
1145 // Generate sign-fixup code. Was original value positive?
1146 // long hack_res = (i >= 0) ? divisor : CONST64(1);
1147 Node *cmp1 = phase->transform( new CmpLNode( in(1), phase->longcon(0) ) );
1148 Node *bol1 = phase->transform( new BoolNode( cmp1, BoolTest::ge ) );
1149 Node *cmov1= phase->transform( new CMoveLNode(bol1, phase->longcon(1), divisor, TypeLong::LONG) );
1150 // if( x >= hack_res ) x -= divisor;
1151 Node *sub = phase->transform( new SubLNode( x, divisor ) );
1152 Node *cmp2 = phase->transform( new CmpLNode( x, cmov1 ) );
1153 Node *bol2 = phase->transform( new BoolNode( cmp2, BoolTest::ge ) );
1154 // Convention is to not transform the return value of an Ideal
1155 // since Ideal is expected to return a modified 'this' or a new node.
1156 Node *cmov2= new CMoveLNode(bol2, x, sub, TypeLong::LONG);
1157 // cmov2 is now the mod
1158
1159 // Now remove the bogus extra edges used to keep things alive
1160 hook->destruct(phase);
1161 return cmov2;
1162 }
1163 }
1164
1165 // Fell thru, the unroll case is not appropriate. Transform the modulo
1166 // into a long multiply/int multiply/subtract case
1167
1168 // Cannot handle mod 0, and min_jlong isn't handled by the transform
1169 if( con == 0 || con == min_jlong ) return nullptr;
1170
1171 // Get the absolute value of the constant; at this point, we can use this
1172 jlong pos_con = (con >= 0) ? con : -con;
1173
1174 // integer Mod 1 is always 0
1175 if( pos_con == 1 ) return new ConLNode(TypeLong::ZERO);
1176
1177 int log2_con = -1;
1178
1179 // If this is a power of two, then maybe we can mask it
1180 if (is_power_of_2(pos_con)) {
1181 log2_con = log2i_exact(pos_con);
1182
1183 const Type *dt = phase->type(in(1));
1184 const TypeLong *dtl = dt->isa_long();
1185
1186 // See if this can be masked, if the dividend is non-negative
1187 if( dtl && dtl->_lo >= 0 )
1188 return ( new AndLNode( in(1), phase->longcon( pos_con-1 ) ) );
1189 }
1190
1191 // Save in(1) so that it cannot be changed or deleted
1192 hook->init_req(0, in(1));
1193
1194 // Divide using the transform from DivL to MulL
1195 Node *result = transform_long_divide( phase, in(1), pos_con );
1196 if (result != nullptr) {
1197 Node *divide = phase->transform(result);
1198
1199 // Re-multiply, using a shift if this is a power of two
1200 Node *mult = nullptr;
1201
1202 if( log2_con >= 0 )
1203 mult = phase->transform( new LShiftLNode( divide, phase->intcon( log2_con ) ) );
1204 else
1205 mult = phase->transform( new MulLNode( divide, phase->longcon( pos_con ) ) );
1206
1207 // Finally, subtract the multiplied divided value from the original
1208 result = new SubLNode( in(1), mult );
1209 }
1210
1211 // Now remove the bogus extra edges used to keep things alive
1212 hook->destruct(phase);
1213
1214 // return the value
1215 return result;
1216 }
1217
1218 //------------------------------Value------------------------------------------
1219 const Type* ModLNode::Value(PhaseGVN* phase) const {
1220 // Either input is TOP ==> the result is TOP
1221 const Type *t1 = phase->type( in(1) );
1222 const Type *t2 = phase->type( in(2) );
1223 if( t1 == Type::TOP ) return Type::TOP;
1224 if( t2 == Type::TOP ) return Type::TOP;
1225
1226 // We always generate the dynamic check for 0.
1227 // 0 MOD X is 0
1228 if( t1 == TypeLong::ZERO ) return TypeLong::ZERO;
1229 // X MOD X is 0
1230 if (in(1) == in(2)) {
1231 return TypeLong::ZERO;
1232 }
1233
1234 // Either input is BOTTOM ==> the result is the local BOTTOM
1235 const Type *bot = bottom_type();
1236 if( (t1 == bot) || (t2 == bot) ||
1237 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1238 return bot;
1239
1240 const TypeLong *i1 = t1->is_long();
1241 const TypeLong *i2 = t2->is_long();
1242 if( !i1->is_con() || !i2->is_con() ) {
1243 if( i1->_lo >= CONST64(0) && i2->_lo >= CONST64(0) )
1244 return TypeLong::POS;
1245 // If both numbers are not constants, we know little.
1246 return TypeLong::LONG;
1247 }
1248 // Mod by zero? Throw exception at runtime!
1249 if( !i2->get_con() ) return TypeLong::POS;
1250
1251 // We must be modulo'ing 2 float constants.
1252 // Check for min_jint % '-1', result is defined to be '0'.
1253 if( i1->get_con() == min_jlong && i2->get_con() == -1 )
1254 return TypeLong::ZERO;
1255
1256 return TypeLong::make( i1->get_con() % i2->get_con() );
1257 }
1258
1259
1260 //=============================================================================
1261 //------------------------------Value------------------------------------------
1262 const Type* ModFNode::Value(PhaseGVN* phase) const {
1263 // Either input is TOP ==> the result is TOP
1264 const Type *t1 = phase->type( in(1) );
1265 const Type *t2 = phase->type( in(2) );
1266 if( t1 == Type::TOP ) return Type::TOP;
1267 if( t2 == Type::TOP ) return Type::TOP;
1268
1269 // Either input is BOTTOM ==> the result is the local BOTTOM
1270 const Type *bot = bottom_type();
1271 if( (t1 == bot) || (t2 == bot) ||
1272 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1273 return bot;
1274
1275 // If either number is not a constant, we know nothing.
1276 if ((t1->base() != Type::FloatCon) || (t2->base() != Type::FloatCon)) {
1277 return Type::FLOAT; // note: x%x can be either NaN or 0
1278 }
1279
1280 float f1 = t1->getf();
1281 float f2 = t2->getf();
1282 jint x1 = jint_cast(f1); // note: *(int*)&f1, not just (int)f1
1283 jint x2 = jint_cast(f2);
1284
1285 // If either is a NaN, return an input NaN
1286 if (g_isnan(f1)) return t1;
1287 if (g_isnan(f2)) return t2;
1288
1289 // If an operand is infinity or the divisor is +/- zero, punt.
1290 if (!g_isfinite(f1) || !g_isfinite(f2) || x2 == 0 || x2 == min_jint)
1291 return Type::FLOAT;
1292
1293 // We must be modulo'ing 2 float constants.
1294 // Make sure that the sign of the fmod is equal to the sign of the dividend
1295 jint xr = jint_cast(fmod(f1, f2));
1296 if ((x1 ^ xr) < 0) {
1297 xr ^= min_jint;
1298 }
1299
1300 return TypeF::make(jfloat_cast(xr));
1301 }
1302
1303 //=============================================================================
1304 //------------------------------Idealize---------------------------------------
1305 Node *UModLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
1306 // Check for dead control input
1307 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
1308 return nullptr;
1309 }
1310
1311
1312 //=============================================================================
1313 //------------------------------Value------------------------------------------
1314 const Type* ModDNode::Value(PhaseGVN* phase) const {
1315 // Either input is TOP ==> the result is TOP
1316 const Type *t1 = phase->type( in(1) );
1317 const Type *t2 = phase->type( in(2) );
1318 if( t1 == Type::TOP ) return Type::TOP;
1319 if( t2 == Type::TOP ) return Type::TOP;
1320
1321 // Either input is BOTTOM ==> the result is the local BOTTOM
1322 const Type *bot = bottom_type();
1323 if( (t1 == bot) || (t2 == bot) ||
1324 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1325 return bot;
1326
1327 // If either number is not a constant, we know nothing.
1328 if ((t1->base() != Type::DoubleCon) || (t2->base() != Type::DoubleCon)) {
1329 return Type::DOUBLE; // note: x%x can be either NaN or 0
1330 }
1331
1332 double f1 = t1->getd();
1333 double f2 = t2->getd();
1334 jlong x1 = jlong_cast(f1); // note: *(long*)&f1, not just (long)f1
1335 jlong x2 = jlong_cast(f2);
1336
1337 // If either is a NaN, return an input NaN
1338 if (g_isnan(f1)) return t1;
1339 if (g_isnan(f2)) return t2;
1340
1341 // If an operand is infinity or the divisor is +/- zero, punt.
1342 if (!g_isfinite(f1) || !g_isfinite(f2) || x2 == 0 || x2 == min_jlong)
1343 return Type::DOUBLE;
1344
1345 // We must be modulo'ing 2 double constants.
1346 // Make sure that the sign of the fmod is equal to the sign of the dividend
1347 jlong xr = jlong_cast(fmod(f1, f2));
1348 if ((x1 ^ xr) < 0) {
1349 xr ^= min_jlong;
1350 }
1351
1352 return TypeD::make(jdouble_cast(xr));
1353 }
1354
1355 //=============================================================================
1356
1357 DivModNode::DivModNode( Node *c, Node *dividend, Node *divisor ) : MultiNode(3) {
1358 init_req(0, c);
1359 init_req(1, dividend);
1360 init_req(2, divisor);
1361 }
1362
1363 DivModNode* DivModNode::make(Node* div_or_mod, BasicType bt, bool is_unsigned) {
1364 assert(bt == T_INT || bt == T_LONG, "only int or long input pattern accepted");
1365
1366 if (bt == T_INT) {
1367 if (is_unsigned) {
1368 return UDivModINode::make(div_or_mod);
1369 } else {
1370 return DivModINode::make(div_or_mod);
1371 }
1372 } else {
1373 if (is_unsigned) {
1374 return UDivModLNode::make(div_or_mod);
1375 } else {
1376 return DivModLNode::make(div_or_mod);
1377 }
1378 }
1379 }
1380
1381 //------------------------------make------------------------------------------
1382 DivModINode* DivModINode::make(Node* div_or_mod) {
1383 Node* n = div_or_mod;
1384 assert(n->Opcode() == Op_DivI || n->Opcode() == Op_ModI,
1385 "only div or mod input pattern accepted");
1386
1387 DivModINode* divmod = new DivModINode(n->in(0), n->in(1), n->in(2));
1388 Node* dproj = new ProjNode(divmod, DivModNode::div_proj_num);
1389 Node* mproj = new ProjNode(divmod, DivModNode::mod_proj_num);
1390 return divmod;
1391 }
1392
1393 //------------------------------make------------------------------------------
1394 DivModLNode* DivModLNode::make(Node* div_or_mod) {
1395 Node* n = div_or_mod;
1396 assert(n->Opcode() == Op_DivL || n->Opcode() == Op_ModL,
1397 "only div or mod input pattern accepted");
1398
1399 DivModLNode* divmod = new DivModLNode(n->in(0), n->in(1), n->in(2));
1400 Node* dproj = new ProjNode(divmod, DivModNode::div_proj_num);
1401 Node* mproj = new ProjNode(divmod, DivModNode::mod_proj_num);
1402 return divmod;
1403 }
1404
1405 //------------------------------match------------------------------------------
1406 // return result(s) along with their RegMask info
1407 Node *DivModINode::match(const ProjNode *proj, const Matcher *match, const RegMask* mask) {
1408 uint ideal_reg = proj->ideal_reg();
1409 RegMask rm;
1410 if (proj->_con == div_proj_num) {
1411 rm = match->divI_proj_mask();
1412 } else {
1413 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1414 rm = match->modI_proj_mask();
1415 }
1416 return new MachProjNode(this, proj->_con, rm, ideal_reg);
1417 }
1418
1419
1420 //------------------------------match------------------------------------------
1421 // return result(s) along with their RegMask info
1422 Node *DivModLNode::match(const ProjNode *proj, const Matcher *match, const RegMask* mask) {
1423 uint ideal_reg = proj->ideal_reg();
1424 RegMask rm;
1425 if (proj->_con == div_proj_num) {
1426 rm = match->divL_proj_mask();
1427 } else {
1428 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1429 rm = match->modL_proj_mask();
1430 }
1431 return new MachProjNode(this, proj->_con, rm, ideal_reg);
1432 }
1433
1434 //------------------------------make------------------------------------------
1435 UDivModINode* UDivModINode::make(Node* div_or_mod) {
1436 Node* n = div_or_mod;
1437 assert(n->Opcode() == Op_UDivI || n->Opcode() == Op_UModI,
1438 "only div or mod input pattern accepted");
1439
1440 UDivModINode* divmod = new UDivModINode(n->in(0), n->in(1), n->in(2));
1441 Node* dproj = new ProjNode(divmod, DivModNode::div_proj_num);
1442 Node* mproj = new ProjNode(divmod, DivModNode::mod_proj_num);
1443 return divmod;
1444 }
1445
1446 //------------------------------make------------------------------------------
1447 UDivModLNode* UDivModLNode::make(Node* div_or_mod) {
1448 Node* n = div_or_mod;
1449 assert(n->Opcode() == Op_UDivL || n->Opcode() == Op_UModL,
1450 "only div or mod input pattern accepted");
1451
1452 UDivModLNode* divmod = new UDivModLNode(n->in(0), n->in(1), n->in(2));
1453 Node* dproj = new ProjNode(divmod, DivModNode::div_proj_num);
1454 Node* mproj = new ProjNode(divmod, DivModNode::mod_proj_num);
1455 return divmod;
1456 }
1457
1458 //------------------------------match------------------------------------------
1459 // return result(s) along with their RegMask info
1460 Node* UDivModINode::match(const ProjNode* proj, const Matcher* match, const RegMask* mask) {
1461 uint ideal_reg = proj->ideal_reg();
1462 RegMask rm;
1463 if (proj->_con == div_proj_num) {
1464 rm = match->divI_proj_mask();
1465 } else {
1466 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1467 rm = match->modI_proj_mask();
1468 }
1469 return new MachProjNode(this, proj->_con, rm, ideal_reg);
1470 }
1471
1472
1473 //------------------------------match------------------------------------------
1474 // return result(s) along with their RegMask info
1475 Node* UDivModLNode::match( const ProjNode* proj, const Matcher* match, const RegMask* mask) {
1476 uint ideal_reg = proj->ideal_reg();
1477 RegMask rm;
1478 if (proj->_con == div_proj_num) {
1479 rm = match->divL_proj_mask();
1480 } else {
1481 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1482 rm = match->modL_proj_mask();
1483 }
1484 return new MachProjNode(this, proj->_con, rm, ideal_reg);
1485 }