1 /*
2 * Copyright 1997-2008 Sun Microsystems, Inc. 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
6 * under the terms of the GNU General Public License version 2 only, as
7 * published by the Free Software Foundation.
8 *
9 * This code is distributed in the hope that it will be useful, but WITHOUT
10 * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
11 * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
12 * version 2 for more details (a copy is included in the LICENSE file that
13 * accompanied this code).
14 *
15 * You should have received a copy of the GNU General Public License version
16 * 2 along with this work; if not, write to the Free Software Foundation,
17 * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
18 *
19 * Please contact Sun Microsystems, Inc., 4150 Network Circle, Santa Clara,
20 * CA 95054 USA or visit www.sun.com if you need additional information or
21 * have any questions.
22 *
23 */
24
25 // Portions of code courtesy of Clifford Click
26
27 // Optimization - Graph Style
28
29 #include "incls/_precompiled.incl"
30 #include "incls/_divnode.cpp.incl"
31 #include <math.h>
32
33 //----------------------magic_int_divide_constants-----------------------------
34 // Compute magic multiplier and shift constant for converting a 32 bit divide
35 // by constant into a multiply/shift/add series. Return false if calculations
36 // fail.
37 //
38 // Borrowed almost verbatum from Hacker's Delight by Henry S. Warren, Jr. with
39 // minor type name and parameter changes.
40 static bool magic_int_divide_constants(jint d, jint &M, jint &s) {
41 int32_t p;
42 uint32_t ad, anc, delta, q1, r1, q2, r2, t;
43 const uint32_t two31 = 0x80000000L; // 2**31.
44
45 ad = ABS(d);
46 if (d == 0 || d == 1) return false;
47 t = two31 + ((uint32_t)d >> 31);
48 anc = t - 1 - t%ad; // Absolute value of nc.
49 p = 31; // Init. p.
50 q1 = two31/anc; // Init. q1 = 2**p/|nc|.
51 r1 = two31 - q1*anc; // Init. r1 = rem(2**p, |nc|).
52 q2 = two31/ad; // Init. q2 = 2**p/|d|.
53 r2 = two31 - q2*ad; // Init. r2 = rem(2**p, |d|).
54 do {
55 p = p + 1;
56 q1 = 2*q1; // Update q1 = 2**p/|nc|.
57 r1 = 2*r1; // Update r1 = rem(2**p, |nc|).
58 if (r1 >= anc) { // (Must be an unsigned
59 q1 = q1 + 1; // comparison here).
60 r1 = r1 - anc;
61 }
62 q2 = 2*q2; // Update q2 = 2**p/|d|.
63 r2 = 2*r2; // Update r2 = rem(2**p, |d|).
64 if (r2 >= ad) { // (Must be an unsigned
65 q2 = q2 + 1; // comparison here).
66 r2 = r2 - ad;
67 }
68 delta = ad - r2;
69 } while (q1 < delta || (q1 == delta && r1 == 0));
70
71 M = q2 + 1;
72 if (d < 0) M = -M; // Magic number and
73 s = p - 32; // shift amount to return.
74
75 return true;
76 }
77
78 //--------------------------transform_int_divide-------------------------------
79 // Convert a division by constant divisor into an alternate Ideal graph.
80 // Return NULL if no transformation occurs.
81 static Node *transform_int_divide( PhaseGVN *phase, Node *dividend, jint divisor ) {
82
83 // Check for invalid divisors
84 assert( divisor != 0 && divisor != min_jint,
85 "bad divisor for transforming to long multiply" );
86
87 bool d_pos = divisor >= 0;
88 jint d = d_pos ? divisor : -divisor;
89 const int N = 32;
90
91 // Result
92 Node *q = NULL;
93
94 if (d == 1) {
95 // division by +/- 1
96 if (!d_pos) {
97 // Just negate the value
98 q = new (phase->C, 3) SubINode(phase->intcon(0), dividend);
99 }
100 } else if ( is_power_of_2(d) ) {
101 // division by +/- a power of 2
102
103 // See if we can simply do a shift without rounding
104 bool needs_rounding = true;
105 const Type *dt = phase->type(dividend);
106 const TypeInt *dti = dt->isa_int();
107 if (dti && dti->_lo >= 0) {
108 // we don't need to round a positive dividend
109 needs_rounding = false;
110 } else if( dividend->Opcode() == Op_AndI ) {
111 // An AND mask of sufficient size clears the low bits and
112 // I can avoid rounding.
113 const TypeInt *andconi_t = phase->type( dividend->in(2) )->isa_int();
114 if( andconi_t && andconi_t->is_con() ) {
115 jint andconi = andconi_t->get_con();
116 if( andconi < 0 && is_power_of_2(-andconi) && (-andconi) >= d ) {
117 dividend = dividend->in(1);
118 needs_rounding = false;
119 }
120 }
121 }
122
123 // Add rounding to the shift to handle the sign bit
124 int l = log2_intptr(d-1)+1;
125 if (needs_rounding) {
126 // Divide-by-power-of-2 can be made into a shift, but you have to do
127 // more math for the rounding. You need to add 0 for positive
128 // numbers, and "i-1" for negative numbers. Example: i=4, so the
129 // shift is by 2. You need to add 3 to negative dividends and 0 to
130 // positive ones. So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1,
131 // (-2+3)>>2 becomes 0, etc.
132
133 // Compute 0 or -1, based on sign bit
134 Node *sign = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N - 1)));
135 // Mask sign bit to the low sign bits
136 Node *round = phase->transform(new (phase->C, 3) URShiftINode(sign, phase->intcon(N - l)));
137 // Round up before shifting
138 dividend = phase->transform(new (phase->C, 3) AddINode(dividend, round));
139 }
140
141 // Shift for division
142 q = new (phase->C, 3) RShiftINode(dividend, phase->intcon(l));
143
144 if (!d_pos) {
145 q = new (phase->C, 3) SubINode(phase->intcon(0), phase->transform(q));
146 }
147 } else {
148 // Attempt the jint constant divide -> multiply transform found in
149 // "Division by Invariant Integers using Multiplication"
150 // by Granlund and Montgomery
151 // See also "Hacker's Delight", chapter 10 by Warren.
152
153 jint magic_const;
154 jint shift_const;
155 if (magic_int_divide_constants(d, magic_const, shift_const)) {
156 Node *magic = phase->longcon(magic_const);
157 Node *dividend_long = phase->transform(new (phase->C, 2) ConvI2LNode(dividend));
158
159 // Compute the high half of the dividend x magic multiplication
160 Node *mul_hi = phase->transform(new (phase->C, 3) MulLNode(dividend_long, magic));
161
162 if (magic_const < 0) {
163 mul_hi = phase->transform(new (phase->C, 3) RShiftLNode(mul_hi, phase->intcon(N)));
164 mul_hi = phase->transform(new (phase->C, 2) ConvL2INode(mul_hi));
165
166 // The magic multiplier is too large for a 32 bit constant. We've adjusted
167 // it down by 2^32, but have to add 1 dividend back in after the multiplication.
168 // This handles the "overflow" case described by Granlund and Montgomery.
169 mul_hi = phase->transform(new (phase->C, 3) AddINode(dividend, mul_hi));
170
171 // Shift over the (adjusted) mulhi
172 if (shift_const != 0) {
173 mul_hi = phase->transform(new (phase->C, 3) RShiftINode(mul_hi, phase->intcon(shift_const)));
174 }
175 } else {
176 // No add is required, we can merge the shifts together.
177 mul_hi = phase->transform(new (phase->C, 3) RShiftLNode(mul_hi, phase->intcon(N + shift_const)));
178 mul_hi = phase->transform(new (phase->C, 2) ConvL2INode(mul_hi));
179 }
180
181 // Get a 0 or -1 from the sign of the dividend.
182 Node *addend0 = mul_hi;
183 Node *addend1 = phase->transform(new (phase->C, 3) RShiftINode(dividend, phase->intcon(N-1)));
184
185 // If the divisor is negative, swap the order of the input addends;
186 // this has the effect of negating the quotient.
187 if (!d_pos) {
188 Node *temp = addend0; addend0 = addend1; addend1 = temp;
189 }
190
191 // Adjust the final quotient by subtracting -1 (adding 1)
192 // from the mul_hi.
193 q = new (phase->C, 3) SubINode(addend0, addend1);
194 }
195 }
196
197 return q;
198 }
199
200 //---------------------magic_long_divide_constants-----------------------------
201 // Compute magic multiplier and shift constant for converting a 64 bit divide
202 // by constant into a multiply/shift/add series. Return false if calculations
203 // fail.
204 //
205 // Borrowed almost verbatum from Hacker's Delight by Henry S. Warren, Jr. with
206 // minor type name and parameter changes. Adjusted to 64 bit word width.
207 static bool magic_long_divide_constants(jlong d, jlong &M, jint &s) {
208 int64_t p;
209 uint64_t ad, anc, delta, q1, r1, q2, r2, t;
210 const uint64_t two63 = 0x8000000000000000LL; // 2**63.
211
212 ad = ABS(d);
213 if (d == 0 || d == 1) return false;
214 t = two63 + ((uint64_t)d >> 63);
215 anc = t - 1 - t%ad; // Absolute value of nc.
216 p = 63; // Init. p.
217 q1 = two63/anc; // Init. q1 = 2**p/|nc|.
218 r1 = two63 - q1*anc; // Init. r1 = rem(2**p, |nc|).
219 q2 = two63/ad; // Init. q2 = 2**p/|d|.
220 r2 = two63 - q2*ad; // Init. r2 = rem(2**p, |d|).
221 do {
222 p = p + 1;
223 q1 = 2*q1; // Update q1 = 2**p/|nc|.
224 r1 = 2*r1; // Update r1 = rem(2**p, |nc|).
225 if (r1 >= anc) { // (Must be an unsigned
226 q1 = q1 + 1; // comparison here).
227 r1 = r1 - anc;
228 }
229 q2 = 2*q2; // Update q2 = 2**p/|d|.
230 r2 = 2*r2; // Update r2 = rem(2**p, |d|).
231 if (r2 >= ad) { // (Must be an unsigned
232 q2 = q2 + 1; // comparison here).
233 r2 = r2 - ad;
234 }
235 delta = ad - r2;
236 } while (q1 < delta || (q1 == delta && r1 == 0));
237
238 M = q2 + 1;
239 if (d < 0) M = -M; // Magic number and
240 s = p - 64; // shift amount to return.
241
242 return true;
243 }
244
245 //---------------------long_by_long_mulhi--------------------------------------
246 // Generate ideal node graph for upper half of a 64 bit x 64 bit multiplication
247 static Node *long_by_long_mulhi( PhaseGVN *phase, Node *dividend, jlong magic_const) {
248 // If the architecture supports a 64x64 mulhi, there is
249 // no need to synthesize it in ideal nodes.
250 if (Matcher::has_match_rule(Op_MulHiL)) {
251 Node *v = phase->longcon(magic_const);
252 return new (phase->C, 3) MulHiLNode(dividend, v);
253 }
254
255 const int N = 64;
256
257 Node *u_hi = phase->transform(new (phase->C, 3) RShiftLNode(dividend, phase->intcon(N / 2)));
258 Node *u_lo = phase->transform(new (phase->C, 3) AndLNode(dividend, phase->longcon(0xFFFFFFFF)));
259
260 Node *v_hi = phase->longcon(magic_const >> N/2);
261 Node *v_lo = phase->longcon(magic_const & 0XFFFFFFFF);
262
263 Node *hihi_product = phase->transform(new (phase->C, 3) MulLNode(u_hi, v_hi));
264 Node *hilo_product = phase->transform(new (phase->C, 3) MulLNode(u_hi, v_lo));
265 Node *lohi_product = phase->transform(new (phase->C, 3) MulLNode(u_lo, v_hi));
266 Node *lolo_product = phase->transform(new (phase->C, 3) MulLNode(u_lo, v_lo));
267
268 Node *t1 = phase->transform(new (phase->C, 3) URShiftLNode(lolo_product, phase->intcon(N / 2)));
269 Node *t2 = phase->transform(new (phase->C, 3) AddLNode(hilo_product, t1));
270
271 // Construct both t3 and t4 before transforming so t2 doesn't go dead
272 // prematurely.
273 Node *t3 = new (phase->C, 3) RShiftLNode(t2, phase->intcon(N / 2));
274 Node *t4 = new (phase->C, 3) AndLNode(t2, phase->longcon(0xFFFFFFFF));
275 t3 = phase->transform(t3);
276 t4 = phase->transform(t4);
277
278 Node *t5 = phase->transform(new (phase->C, 3) AddLNode(t4, lohi_product));
279 Node *t6 = phase->transform(new (phase->C, 3) RShiftLNode(t5, phase->intcon(N / 2)));
280 Node *t7 = phase->transform(new (phase->C, 3) AddLNode(t3, hihi_product));
281
282 return new (phase->C, 3) AddLNode(t7, t6);
283 }
284
285
286 //--------------------------transform_long_divide------------------------------
287 // Convert a division by constant divisor into an alternate Ideal graph.
288 // Return NULL if no transformation occurs.
289 static Node *transform_long_divide( PhaseGVN *phase, Node *dividend, jlong divisor ) {
290 // Check for invalid divisors
291 assert( divisor != 0L && divisor != min_jlong,
292 "bad divisor for transforming to long multiply" );
293
294 bool d_pos = divisor >= 0;
295 jlong d = d_pos ? divisor : -divisor;
296 const int N = 64;
297
298 // Result
299 Node *q = NULL;
300
301 if (d == 1) {
302 // division by +/- 1
303 if (!d_pos) {
304 // Just negate the value
305 q = new (phase->C, 3) SubLNode(phase->longcon(0), dividend);
306 }
307 } else if ( is_power_of_2_long(d) ) {
308
309 // division by +/- a power of 2
310
311 // See if we can simply do a shift without rounding
312 bool needs_rounding = true;
313 const Type *dt = phase->type(dividend);
314 const TypeLong *dtl = dt->isa_long();
315
316 if (dtl && dtl->_lo > 0) {
317 // we don't need to round a positive dividend
318 needs_rounding = false;
319 } else if( dividend->Opcode() == Op_AndL ) {
320 // An AND mask of sufficient size clears the low bits and
321 // I can avoid rounding.
322 const TypeLong *andconl_t = phase->type( dividend->in(2) )->isa_long();
323 if( andconl_t && andconl_t->is_con() ) {
324 jlong andconl = andconl_t->get_con();
325 if( andconl < 0 && is_power_of_2_long(-andconl) && (-andconl) >= d ) {
326 dividend = dividend->in(1);
327 needs_rounding = false;
328 }
329 }
330 }
331
332 // Add rounding to the shift to handle the sign bit
333 int l = log2_long(d-1)+1;
334 if (needs_rounding) {
335 // Divide-by-power-of-2 can be made into a shift, but you have to do
336 // more math for the rounding. You need to add 0 for positive
337 // numbers, and "i-1" for negative numbers. Example: i=4, so the
338 // shift is by 2. You need to add 3 to negative dividends and 0 to
339 // positive ones. So (-7+3)>>2 becomes -1, (-4+3)>>2 becomes -1,
340 // (-2+3)>>2 becomes 0, etc.
341
342 // Compute 0 or -1, based on sign bit
343 Node *sign = phase->transform(new (phase->C, 3) RShiftLNode(dividend, phase->intcon(N - 1)));
344 // Mask sign bit to the low sign bits
345 Node *round = phase->transform(new (phase->C, 3) URShiftLNode(sign, phase->intcon(N - l)));
346 // Round up before shifting
347 dividend = phase->transform(new (phase->C, 3) AddLNode(dividend, round));
348 }
349
350 // Shift for division
351 q = new (phase->C, 3) RShiftLNode(dividend, phase->intcon(l));
352
353 if (!d_pos) {
354 q = new (phase->C, 3) SubLNode(phase->longcon(0), phase->transform(q));
355 }
356 } else {
357 // Attempt the jlong constant divide -> multiply transform found in
358 // "Division by Invariant Integers using Multiplication"
359 // by Granlund and Montgomery
360 // See also "Hacker's Delight", chapter 10 by Warren.
361
362 jlong magic_const;
363 jint shift_const;
364 if (magic_long_divide_constants(d, magic_const, shift_const)) {
365 // Compute the high half of the dividend x magic multiplication
366 Node *mul_hi = phase->transform(long_by_long_mulhi(phase, dividend, magic_const));
367
368 // The high half of the 128-bit multiply is computed.
369 if (magic_const < 0) {
370 // The magic multiplier is too large for a 64 bit constant. We've adjusted
371 // it down by 2^64, but have to add 1 dividend back in after the multiplication.
372 // This handles the "overflow" case described by Granlund and Montgomery.
373 mul_hi = phase->transform(new (phase->C, 3) AddLNode(dividend, mul_hi));
374 }
375
376 // Shift over the (adjusted) mulhi
377 if (shift_const != 0) {
378 mul_hi = phase->transform(new (phase->C, 3) RShiftLNode(mul_hi, phase->intcon(shift_const)));
379 }
380
381 // Get a 0 or -1 from the sign of the dividend.
382 Node *addend0 = mul_hi;
383 Node *addend1 = phase->transform(new (phase->C, 3) RShiftLNode(dividend, phase->intcon(N-1)));
384
385 // If the divisor is negative, swap the order of the input addends;
386 // this has the effect of negating the quotient.
387 if (!d_pos) {
388 Node *temp = addend0; addend0 = addend1; addend1 = temp;
389 }
390
391 // Adjust the final quotient by subtracting -1 (adding 1)
392 // from the mul_hi.
393 q = new (phase->C, 3) SubLNode(addend0, addend1);
394 }
395 }
396
397 return q;
398 }
399
400 //=============================================================================
401 //------------------------------Identity---------------------------------------
402 // If the divisor is 1, we are an identity on the dividend.
403 Node *DivINode::Identity( PhaseTransform *phase ) {
404 return (phase->type( in(2) )->higher_equal(TypeInt::ONE)) ? in(1) : this;
405 }
406
407 //------------------------------Idealize---------------------------------------
408 // Divides can be changed to multiplies and/or shifts
409 Node *DivINode::Ideal(PhaseGVN *phase, bool can_reshape) {
410 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
411 // Don't bother trying to transform a dead node
412 if( in(0) && in(0)->is_top() ) return NULL;
413
414 const Type *t = phase->type( in(2) );
415 if( t == TypeInt::ONE ) // Identity?
416 return NULL; // Skip it
417
418 const TypeInt *ti = t->isa_int();
419 if( !ti ) return NULL;
420 if( !ti->is_con() ) return NULL;
421 jint i = ti->get_con(); // Get divisor
422
423 if (i == 0) return NULL; // Dividing by zero constant does not idealize
424
425 set_req(0,NULL); // Dividing by a not-zero constant; no faulting
426
427 // Dividing by MININT does not optimize as a power-of-2 shift.
428 if( i == min_jint ) return NULL;
429
430 return transform_int_divide( phase, in(1), i );
431 }
432
433 //------------------------------Value------------------------------------------
434 // A DivINode divides its inputs. The third input is a Control input, used to
435 // prevent hoisting the divide above an unsafe test.
436 const Type *DivINode::Value( PhaseTransform *phase ) const {
437 // Either input is TOP ==> the result is TOP
438 const Type *t1 = phase->type( in(1) );
439 const Type *t2 = phase->type( in(2) );
440 if( t1 == Type::TOP ) return Type::TOP;
441 if( t2 == Type::TOP ) return Type::TOP;
442
443 // x/x == 1 since we always generate the dynamic divisor check for 0.
444 if( phase->eqv( in(1), in(2) ) )
445 return TypeInt::ONE;
446
447 // Either input is BOTTOM ==> the result is the local BOTTOM
448 const Type *bot = bottom_type();
449 if( (t1 == bot) || (t2 == bot) ||
450 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
451 return bot;
452
453 // Divide the two numbers. We approximate.
454 // If divisor is a constant and not zero
455 const TypeInt *i1 = t1->is_int();
456 const TypeInt *i2 = t2->is_int();
457 int widen = MAX2(i1->_widen, i2->_widen);
458
459 if( i2->is_con() && i2->get_con() != 0 ) {
460 int32 d = i2->get_con(); // Divisor
461 jint lo, hi;
462 if( d >= 0 ) {
463 lo = i1->_lo/d;
464 hi = i1->_hi/d;
465 } else {
466 if( d == -1 && i1->_lo == min_jint ) {
467 // 'min_jint/-1' throws arithmetic exception during compilation
468 lo = min_jint;
469 // do not support holes, 'hi' must go to either min_jint or max_jint:
470 // [min_jint, -10]/[-1,-1] ==> [min_jint] UNION [10,max_jint]
471 hi = i1->_hi == min_jint ? min_jint : max_jint;
472 } else {
473 lo = i1->_hi/d;
474 hi = i1->_lo/d;
475 }
476 }
477 return TypeInt::make(lo, hi, widen);
478 }
479
480 // If the dividend is a constant
481 if( i1->is_con() ) {
482 int32 d = i1->get_con();
483 if( d < 0 ) {
484 if( d == min_jint ) {
485 // (-min_jint) == min_jint == (min_jint / -1)
486 return TypeInt::make(min_jint, max_jint/2 + 1, widen);
487 } else {
488 return TypeInt::make(d, -d, widen);
489 }
490 }
491 return TypeInt::make(-d, d, widen);
492 }
493
494 // Otherwise we give up all hope
495 return TypeInt::INT;
496 }
497
498
499 //=============================================================================
500 //------------------------------Identity---------------------------------------
501 // If the divisor is 1, we are an identity on the dividend.
502 Node *DivLNode::Identity( PhaseTransform *phase ) {
503 return (phase->type( in(2) )->higher_equal(TypeLong::ONE)) ? in(1) : this;
504 }
505
506 //------------------------------Idealize---------------------------------------
507 // Dividing by a power of 2 is a shift.
508 Node *DivLNode::Ideal( PhaseGVN *phase, bool can_reshape) {
509 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
510 // Don't bother trying to transform a dead node
511 if( in(0) && in(0)->is_top() ) return NULL;
512
513 const Type *t = phase->type( in(2) );
514 if( t == TypeLong::ONE ) // Identity?
515 return NULL; // Skip it
516
517 const TypeLong *tl = t->isa_long();
518 if( !tl ) return NULL;
519 if( !tl->is_con() ) return NULL;
520 jlong l = tl->get_con(); // Get divisor
521
522 if (l == 0) return NULL; // Dividing by zero constant does not idealize
523
524 set_req(0,NULL); // Dividing by a not-zero constant; no faulting
525
526 // Dividing by MININT does not optimize as a power-of-2 shift.
527 if( l == min_jlong ) return NULL;
528
529 return transform_long_divide( phase, in(1), l );
530 }
531
532 //------------------------------Value------------------------------------------
533 // A DivLNode divides its inputs. The third input is a Control input, used to
534 // prevent hoisting the divide above an unsafe test.
535 const Type *DivLNode::Value( PhaseTransform *phase ) const {
536 // Either input is TOP ==> the result is TOP
537 const Type *t1 = phase->type( in(1) );
538 const Type *t2 = phase->type( in(2) );
539 if( t1 == Type::TOP ) return Type::TOP;
540 if( t2 == Type::TOP ) return Type::TOP;
541
542 // x/x == 1 since we always generate the dynamic divisor check for 0.
543 if( phase->eqv( in(1), in(2) ) )
544 return TypeLong::ONE;
545
546 // Either input is BOTTOM ==> the result is the local BOTTOM
547 const Type *bot = bottom_type();
548 if( (t1 == bot) || (t2 == bot) ||
549 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
550 return bot;
551
552 // Divide the two numbers. We approximate.
553 // If divisor is a constant and not zero
554 const TypeLong *i1 = t1->is_long();
555 const TypeLong *i2 = t2->is_long();
556 int widen = MAX2(i1->_widen, i2->_widen);
557
558 if( i2->is_con() && i2->get_con() != 0 ) {
559 jlong d = i2->get_con(); // Divisor
560 jlong lo, hi;
561 if( d >= 0 ) {
562 lo = i1->_lo/d;
563 hi = i1->_hi/d;
564 } else {
565 if( d == CONST64(-1) && i1->_lo == min_jlong ) {
566 // 'min_jlong/-1' throws arithmetic exception during compilation
567 lo = min_jlong;
568 // do not support holes, 'hi' must go to either min_jlong or max_jlong:
569 // [min_jlong, -10]/[-1,-1] ==> [min_jlong] UNION [10,max_jlong]
570 hi = i1->_hi == min_jlong ? min_jlong : max_jlong;
571 } else {
572 lo = i1->_hi/d;
573 hi = i1->_lo/d;
574 }
575 }
576 return TypeLong::make(lo, hi, widen);
577 }
578
579 // If the dividend is a constant
580 if( i1->is_con() ) {
581 jlong d = i1->get_con();
582 if( d < 0 ) {
583 if( d == min_jlong ) {
584 // (-min_jlong) == min_jlong == (min_jlong / -1)
585 return TypeLong::make(min_jlong, max_jlong/2 + 1, widen);
586 } else {
587 return TypeLong::make(d, -d, widen);
588 }
589 }
590 return TypeLong::make(-d, d, widen);
591 }
592
593 // Otherwise we give up all hope
594 return TypeLong::LONG;
595 }
596
597
598 //=============================================================================
599 //------------------------------Value------------------------------------------
600 // An DivFNode divides its inputs. The third input is a Control input, used to
601 // prevent hoisting the divide above an unsafe test.
602 const Type *DivFNode::Value( PhaseTransform *phase ) const {
603 // Either input is TOP ==> the result is TOP
604 const Type *t1 = phase->type( in(1) );
605 const Type *t2 = phase->type( in(2) );
606 if( t1 == Type::TOP ) return Type::TOP;
607 if( t2 == Type::TOP ) return Type::TOP;
608
609 // Either input is BOTTOM ==> the result is the local BOTTOM
610 const Type *bot = bottom_type();
611 if( (t1 == bot) || (t2 == bot) ||
612 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
613 return bot;
614
615 // x/x == 1, we ignore 0/0.
616 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
617 // Does not work for variables because of NaN's
618 if( phase->eqv( in(1), in(2) ) && t1->base() == Type::FloatCon)
619 if (!g_isnan(t1->getf()) && g_isfinite(t1->getf()) && t1->getf() != 0.0) // could be negative ZERO or NaN
620 return TypeF::ONE;
621
622 if( t2 == TypeF::ONE )
623 return t1;
624
625 // If divisor is a constant and not zero, divide them numbers
626 if( t1->base() == Type::FloatCon &&
627 t2->base() == Type::FloatCon &&
628 t2->getf() != 0.0 ) // could be negative zero
629 return TypeF::make( t1->getf()/t2->getf() );
630
631 // If the dividend is a constant zero
632 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
633 // Test TypeF::ZERO is not sufficient as it could be negative zero
634
635 if( t1 == TypeF::ZERO && !g_isnan(t2->getf()) && t2->getf() != 0.0 )
636 return TypeF::ZERO;
637
638 // Otherwise we give up all hope
639 return Type::FLOAT;
640 }
641
642 //------------------------------isA_Copy---------------------------------------
643 // Dividing by self is 1.
644 // If the divisor is 1, we are an identity on the dividend.
645 Node *DivFNode::Identity( PhaseTransform *phase ) {
646 return (phase->type( in(2) ) == TypeF::ONE) ? in(1) : this;
647 }
648
649
650 //------------------------------Idealize---------------------------------------
651 Node *DivFNode::Ideal(PhaseGVN *phase, bool can_reshape) {
652 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
653 // Don't bother trying to transform a dead node
654 if( in(0) && in(0)->is_top() ) return NULL;
655
656 const Type *t2 = phase->type( in(2) );
657 if( t2 == TypeF::ONE ) // Identity?
658 return NULL; // Skip it
659
660 const TypeF *tf = t2->isa_float_constant();
661 if( !tf ) return NULL;
662 if( tf->base() != Type::FloatCon ) return NULL;
663
664 // Check for out of range values
665 if( tf->is_nan() || !tf->is_finite() ) return NULL;
666
667 // Get the value
668 float f = tf->getf();
669 int exp;
670
671 // Only for special case of dividing by a power of 2
672 if( frexp((double)f, &exp) != 0.5 ) return NULL;
673
674 // Limit the range of acceptable exponents
675 if( exp < -126 || exp > 126 ) return NULL;
676
677 // Compute the reciprocal
678 float reciprocal = ((float)1.0) / f;
679
680 assert( frexp((double)reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
681
682 // return multiplication by the reciprocal
683 return (new (phase->C, 3) MulFNode(in(1), phase->makecon(TypeF::make(reciprocal))));
684 }
685
686 //=============================================================================
687 //------------------------------Value------------------------------------------
688 // An DivDNode divides its inputs. The third input is a Control input, used to
689 // prevent hoisting the divide above an unsafe test.
690 const Type *DivDNode::Value( PhaseTransform *phase ) const {
691 // Either input is TOP ==> the result is TOP
692 const Type *t1 = phase->type( in(1) );
693 const Type *t2 = phase->type( in(2) );
694 if( t1 == Type::TOP ) return Type::TOP;
695 if( t2 == Type::TOP ) return Type::TOP;
696
697 // Either input is BOTTOM ==> the result is the local BOTTOM
698 const Type *bot = bottom_type();
699 if( (t1 == bot) || (t2 == bot) ||
700 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
701 return bot;
702
703 // x/x == 1, we ignore 0/0.
704 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
705 // Does not work for variables because of NaN's
706 if( phase->eqv( in(1), in(2) ) && t1->base() == Type::DoubleCon)
707 if (!g_isnan(t1->getd()) && g_isfinite(t1->getd()) && t1->getd() != 0.0) // could be negative ZERO or NaN
708 return TypeD::ONE;
709
710 if( t2 == TypeD::ONE )
711 return t1;
712
713 #if defined(IA32)
714 if (!phase->C->method()->is_strict())
715 // Can't trust native compilers to properly fold strict double
716 // multiplication with round-to-zero on this platform.
717 #endif
718 {
719 // If divisor is a constant and not zero, divide them numbers
720 if( t1->base() == Type::DoubleCon &&
721 t2->base() == Type::DoubleCon &&
722 t2->getd() != 0.0 ) // could be negative zero
723 return TypeD::make( t1->getd()/t2->getd() );
724 }
725
726 // If the dividend is a constant zero
727 // Note: if t1 and t2 are zero then result is NaN (JVMS page 213)
728 // Test TypeF::ZERO is not sufficient as it could be negative zero
729 if( t1 == TypeD::ZERO && !g_isnan(t2->getd()) && t2->getd() != 0.0 )
730 return TypeD::ZERO;
731
732 // Otherwise we give up all hope
733 return Type::DOUBLE;
734 }
735
736
737 //------------------------------isA_Copy---------------------------------------
738 // Dividing by self is 1.
739 // If the divisor is 1, we are an identity on the dividend.
740 Node *DivDNode::Identity( PhaseTransform *phase ) {
741 return (phase->type( in(2) ) == TypeD::ONE) ? in(1) : this;
742 }
743
744 //------------------------------Idealize---------------------------------------
745 Node *DivDNode::Ideal(PhaseGVN *phase, bool can_reshape) {
746 if (in(0) && remove_dead_region(phase, can_reshape)) return this;
747 // Don't bother trying to transform a dead node
748 if( in(0) && in(0)->is_top() ) return NULL;
749
750 const Type *t2 = phase->type( in(2) );
751 if( t2 == TypeD::ONE ) // Identity?
752 return NULL; // Skip it
753
754 const TypeD *td = t2->isa_double_constant();
755 if( !td ) return NULL;
756 if( td->base() != Type::DoubleCon ) return NULL;
757
758 // Check for out of range values
759 if( td->is_nan() || !td->is_finite() ) return NULL;
760
761 // Get the value
762 double d = td->getd();
763 int exp;
764
765 // Only for special case of dividing by a power of 2
766 if( frexp(d, &exp) != 0.5 ) return NULL;
767
768 // Limit the range of acceptable exponents
769 if( exp < -1021 || exp > 1022 ) return NULL;
770
771 // Compute the reciprocal
772 double reciprocal = 1.0 / d;
773
774 assert( frexp(reciprocal, &exp) == 0.5, "reciprocal should be power of 2" );
775
776 // return multiplication by the reciprocal
777 return (new (phase->C, 3) MulDNode(in(1), phase->makecon(TypeD::make(reciprocal))));
778 }
779
780 //=============================================================================
781 //------------------------------Idealize---------------------------------------
782 Node *ModINode::Ideal(PhaseGVN *phase, bool can_reshape) {
783 // Check for dead control input
784 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
785 // Don't bother trying to transform a dead node
786 if( in(0) && in(0)->is_top() ) return NULL;
787
788 // Get the modulus
789 const Type *t = phase->type( in(2) );
790 if( t == Type::TOP ) return NULL;
791 const TypeInt *ti = t->is_int();
792
793 // Check for useless control input
794 // Check for excluding mod-zero case
795 if( in(0) && (ti->_hi < 0 || ti->_lo > 0) ) {
796 set_req(0, NULL); // Yank control input
797 return this;
798 }
799
800 // See if we are MOD'ing by 2^k or 2^k-1.
801 if( !ti->is_con() ) return NULL;
802 jint con = ti->get_con();
803
804 Node *hook = new (phase->C, 1) Node(1);
805
806 // First, special check for modulo 2^k-1
807 if( con >= 0 && con < max_jint && is_power_of_2(con+1) ) {
808 uint k = exact_log2(con+1); // Extract k
809
810 // Basic algorithm by David Detlefs. See fastmod_int.java for gory details.
811 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*/};
812 int trip_count = 1;
813 if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k];
814
815 // If the unroll factor is not too large, and if conditional moves are
816 // ok, then use this case
817 if( trip_count <= 5 && ConditionalMoveLimit != 0 ) {
818 Node *x = in(1); // Value being mod'd
819 Node *divisor = in(2); // Also is mask
820
821 hook->init_req(0, x); // Add a use to x to prevent him from dying
822 // Generate code to reduce X rapidly to nearly 2^k-1.
823 for( int i = 0; i < trip_count; i++ ) {
824 Node *xl = phase->transform( new (phase->C, 3) AndINode(x,divisor) );
825 Node *xh = phase->transform( new (phase->C, 3) RShiftINode(x,phase->intcon(k)) ); // Must be signed
826 x = phase->transform( new (phase->C, 3) AddINode(xh,xl) );
827 hook->set_req(0, x);
828 }
829
830 // Generate sign-fixup code. Was original value positive?
831 // int hack_res = (i >= 0) ? divisor : 1;
832 Node *cmp1 = phase->transform( new (phase->C, 3) CmpINode( in(1), phase->intcon(0) ) );
833 Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) );
834 Node *cmov1= phase->transform( new (phase->C, 4) CMoveINode(bol1, phase->intcon(1), divisor, TypeInt::POS) );
835 // if( x >= hack_res ) x -= divisor;
836 Node *sub = phase->transform( new (phase->C, 3) SubINode( x, divisor ) );
837 Node *cmp2 = phase->transform( new (phase->C, 3) CmpINode( x, cmov1 ) );
838 Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) );
839 // Convention is to not transform the return value of an Ideal
840 // since Ideal is expected to return a modified 'this' or a new node.
841 Node *cmov2= new (phase->C, 4) CMoveINode(bol2, x, sub, TypeInt::INT);
842 // cmov2 is now the mod
843
844 // Now remove the bogus extra edges used to keep things alive
845 if (can_reshape) {
846 phase->is_IterGVN()->remove_dead_node(hook);
847 } else {
848 hook->set_req(0, NULL); // Just yank bogus edge during Parse phase
849 }
850 return cmov2;
851 }
852 }
853
854 // Fell thru, the unroll case is not appropriate. Transform the modulo
855 // into a long multiply/int multiply/subtract case
856
857 // Cannot handle mod 0, and min_jint isn't handled by the transform
858 if( con == 0 || con == min_jint ) return NULL;
859
860 // Get the absolute value of the constant; at this point, we can use this
861 jint pos_con = (con >= 0) ? con : -con;
862
863 // integer Mod 1 is always 0
864 if( pos_con == 1 ) return new (phase->C, 1) ConINode(TypeInt::ZERO);
865
866 int log2_con = -1;
867
868 // If this is a power of two, they maybe we can mask it
869 if( is_power_of_2(pos_con) ) {
870 log2_con = log2_intptr((intptr_t)pos_con);
871
872 const Type *dt = phase->type(in(1));
873 const TypeInt *dti = dt->isa_int();
874
875 // See if this can be masked, if the dividend is non-negative
876 if( dti && dti->_lo >= 0 )
877 return ( new (phase->C, 3) AndINode( in(1), phase->intcon( pos_con-1 ) ) );
878 }
879
880 // Save in(1) so that it cannot be changed or deleted
881 hook->init_req(0, in(1));
882
883 // Divide using the transform from DivI to MulL
884 Node *result = transform_int_divide( phase, in(1), pos_con );
885 if (result != NULL) {
886 Node *divide = phase->transform(result);
887
888 // Re-multiply, using a shift if this is a power of two
889 Node *mult = NULL;
890
891 if( log2_con >= 0 )
892 mult = phase->transform( new (phase->C, 3) LShiftINode( divide, phase->intcon( log2_con ) ) );
893 else
894 mult = phase->transform( new (phase->C, 3) MulINode( divide, phase->intcon( pos_con ) ) );
895
896 // Finally, subtract the multiplied divided value from the original
897 result = new (phase->C, 3) SubINode( in(1), mult );
898 }
899
900 // Now remove the bogus extra edges used to keep things alive
901 if (can_reshape) {
902 phase->is_IterGVN()->remove_dead_node(hook);
903 } else {
904 hook->set_req(0, NULL); // Just yank bogus edge during Parse phase
905 }
906
907 // return the value
908 return result;
909 }
910
911 //------------------------------Value------------------------------------------
912 const Type *ModINode::Value( PhaseTransform *phase ) const {
913 // Either input is TOP ==> the result is TOP
914 const Type *t1 = phase->type( in(1) );
915 const Type *t2 = phase->type( in(2) );
916 if( t1 == Type::TOP ) return Type::TOP;
917 if( t2 == Type::TOP ) return Type::TOP;
918
919 // We always generate the dynamic check for 0.
920 // 0 MOD X is 0
921 if( t1 == TypeInt::ZERO ) return TypeInt::ZERO;
922 // X MOD X is 0
923 if( phase->eqv( in(1), in(2) ) ) return TypeInt::ZERO;
924
925 // Either input is BOTTOM ==> the result is the local BOTTOM
926 const Type *bot = bottom_type();
927 if( (t1 == bot) || (t2 == bot) ||
928 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
929 return bot;
930
931 const TypeInt *i1 = t1->is_int();
932 const TypeInt *i2 = t2->is_int();
933 if( !i1->is_con() || !i2->is_con() ) {
934 if( i1->_lo >= 0 && i2->_lo >= 0 )
935 return TypeInt::POS;
936 // If both numbers are not constants, we know little.
937 return TypeInt::INT;
938 }
939 // Mod by zero? Throw exception at runtime!
940 if( !i2->get_con() ) return TypeInt::POS;
941
942 // We must be modulo'ing 2 float constants.
943 // Check for min_jint % '-1', result is defined to be '0'.
944 if( i1->get_con() == min_jint && i2->get_con() == -1 )
945 return TypeInt::ZERO;
946
947 return TypeInt::make( i1->get_con() % i2->get_con() );
948 }
949
950
951 //=============================================================================
952 //------------------------------Idealize---------------------------------------
953 Node *ModLNode::Ideal(PhaseGVN *phase, bool can_reshape) {
954 // Check for dead control input
955 if( in(0) && remove_dead_region(phase, can_reshape) ) return this;
956 // Don't bother trying to transform a dead node
957 if( in(0) && in(0)->is_top() ) return NULL;
958
959 // Get the modulus
960 const Type *t = phase->type( in(2) );
961 if( t == Type::TOP ) return NULL;
962 const TypeLong *tl = t->is_long();
963
964 // Check for useless control input
965 // Check for excluding mod-zero case
966 if( in(0) && (tl->_hi < 0 || tl->_lo > 0) ) {
967 set_req(0, NULL); // Yank control input
968 return this;
969 }
970
971 // See if we are MOD'ing by 2^k or 2^k-1.
972 if( !tl->is_con() ) return NULL;
973 jlong con = tl->get_con();
974
975 Node *hook = new (phase->C, 1) Node(1);
976
977 // Expand mod
978 if( con >= 0 && con < max_jlong && is_power_of_2_long(con+1) ) {
979 uint k = log2_long(con); // Extract k
980
981 // Basic algorithm by David Detlefs. See fastmod_long.java for gory details.
982 // Used to help a popular random number generator which does a long-mod
983 // of 2^31-1 and shows up in SpecJBB and SciMark.
984 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*/};
985 int trip_count = 1;
986 if( k < ARRAY_SIZE(unroll_factor)) trip_count = unroll_factor[k];
987
988 // If the unroll factor is not too large, and if conditional moves are
989 // ok, then use this case
990 if( trip_count <= 5 && ConditionalMoveLimit != 0 ) {
991 Node *x = in(1); // Value being mod'd
992 Node *divisor = in(2); // Also is mask
993
994 hook->init_req(0, x); // Add a use to x to prevent him from dying
995 // Generate code to reduce X rapidly to nearly 2^k-1.
996 for( int i = 0; i < trip_count; i++ ) {
997 Node *xl = phase->transform( new (phase->C, 3) AndLNode(x,divisor) );
998 Node *xh = phase->transform( new (phase->C, 3) RShiftLNode(x,phase->intcon(k)) ); // Must be signed
999 x = phase->transform( new (phase->C, 3) AddLNode(xh,xl) );
1000 hook->set_req(0, x); // Add a use to x to prevent him from dying
1001 }
1002
1003 // Generate sign-fixup code. Was original value positive?
1004 // long hack_res = (i >= 0) ? divisor : CONST64(1);
1005 Node *cmp1 = phase->transform( new (phase->C, 3) CmpLNode( in(1), phase->longcon(0) ) );
1006 Node *bol1 = phase->transform( new (phase->C, 2) BoolNode( cmp1, BoolTest::ge ) );
1007 Node *cmov1= phase->transform( new (phase->C, 4) CMoveLNode(bol1, phase->longcon(1), divisor, TypeLong::LONG) );
1008 // if( x >= hack_res ) x -= divisor;
1009 Node *sub = phase->transform( new (phase->C, 3) SubLNode( x, divisor ) );
1010 Node *cmp2 = phase->transform( new (phase->C, 3) CmpLNode( x, cmov1 ) );
1011 Node *bol2 = phase->transform( new (phase->C, 2) BoolNode( cmp2, BoolTest::ge ) );
1012 // Convention is to not transform the return value of an Ideal
1013 // since Ideal is expected to return a modified 'this' or a new node.
1014 Node *cmov2= new (phase->C, 4) CMoveLNode(bol2, x, sub, TypeLong::LONG);
1015 // cmov2 is now the mod
1016
1017 // Now remove the bogus extra edges used to keep things alive
1018 if (can_reshape) {
1019 phase->is_IterGVN()->remove_dead_node(hook);
1020 } else {
1021 hook->set_req(0, NULL); // Just yank bogus edge during Parse phase
1022 }
1023 return cmov2;
1024 }
1025 }
1026
1027 // Fell thru, the unroll case is not appropriate. Transform the modulo
1028 // into a long multiply/int multiply/subtract case
1029
1030 // Cannot handle mod 0, and min_jint isn't handled by the transform
1031 if( con == 0 || con == min_jlong ) return NULL;
1032
1033 // Get the absolute value of the constant; at this point, we can use this
1034 jlong pos_con = (con >= 0) ? con : -con;
1035
1036 // integer Mod 1 is always 0
1037 if( pos_con == 1 ) return new (phase->C, 1) ConLNode(TypeLong::ZERO);
1038
1039 int log2_con = -1;
1040
1041 // If this is a power of two, they maybe we can mask it
1042 if( is_power_of_2_long(pos_con) ) {
1043 log2_con = log2_long(pos_con);
1044
1045 const Type *dt = phase->type(in(1));
1046 const TypeLong *dtl = dt->isa_long();
1047
1048 // See if this can be masked, if the dividend is non-negative
1049 if( dtl && dtl->_lo >= 0 )
1050 return ( new (phase->C, 3) AndLNode( in(1), phase->longcon( pos_con-1 ) ) );
1051 }
1052
1053 // Save in(1) so that it cannot be changed or deleted
1054 hook->init_req(0, in(1));
1055
1056 // Divide using the transform from DivI to MulL
1057 Node *result = transform_long_divide( phase, in(1), pos_con );
1058 if (result != NULL) {
1059 Node *divide = phase->transform(result);
1060
1061 // Re-multiply, using a shift if this is a power of two
1062 Node *mult = NULL;
1063
1064 if( log2_con >= 0 )
1065 mult = phase->transform( new (phase->C, 3) LShiftLNode( divide, phase->intcon( log2_con ) ) );
1066 else
1067 mult = phase->transform( new (phase->C, 3) MulLNode( divide, phase->longcon( pos_con ) ) );
1068
1069 // Finally, subtract the multiplied divided value from the original
1070 result = new (phase->C, 3) SubLNode( in(1), mult );
1071 }
1072
1073 // Now remove the bogus extra edges used to keep things alive
1074 if (can_reshape) {
1075 phase->is_IterGVN()->remove_dead_node(hook);
1076 } else {
1077 hook->set_req(0, NULL); // Just yank bogus edge during Parse phase
1078 }
1079
1080 // return the value
1081 return result;
1082 }
1083
1084 //------------------------------Value------------------------------------------
1085 const Type *ModLNode::Value( PhaseTransform *phase ) const {
1086 // Either input is TOP ==> the result is TOP
1087 const Type *t1 = phase->type( in(1) );
1088 const Type *t2 = phase->type( in(2) );
1089 if( t1 == Type::TOP ) return Type::TOP;
1090 if( t2 == Type::TOP ) return Type::TOP;
1091
1092 // We always generate the dynamic check for 0.
1093 // 0 MOD X is 0
1094 if( t1 == TypeLong::ZERO ) return TypeLong::ZERO;
1095 // X MOD X is 0
1096 if( phase->eqv( in(1), in(2) ) ) return TypeLong::ZERO;
1097
1098 // Either input is BOTTOM ==> the result is the local BOTTOM
1099 const Type *bot = bottom_type();
1100 if( (t1 == bot) || (t2 == bot) ||
1101 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1102 return bot;
1103
1104 const TypeLong *i1 = t1->is_long();
1105 const TypeLong *i2 = t2->is_long();
1106 if( !i1->is_con() || !i2->is_con() ) {
1107 if( i1->_lo >= CONST64(0) && i2->_lo >= CONST64(0) )
1108 return TypeLong::POS;
1109 // If both numbers are not constants, we know little.
1110 return TypeLong::LONG;
1111 }
1112 // Mod by zero? Throw exception at runtime!
1113 if( !i2->get_con() ) return TypeLong::POS;
1114
1115 // We must be modulo'ing 2 float constants.
1116 // Check for min_jint % '-1', result is defined to be '0'.
1117 if( i1->get_con() == min_jlong && i2->get_con() == -1 )
1118 return TypeLong::ZERO;
1119
1120 return TypeLong::make( i1->get_con() % i2->get_con() );
1121 }
1122
1123
1124 //=============================================================================
1125 //------------------------------Value------------------------------------------
1126 const Type *ModFNode::Value( PhaseTransform *phase ) const {
1127 // Either input is TOP ==> the result is TOP
1128 const Type *t1 = phase->type( in(1) );
1129 const Type *t2 = phase->type( in(2) );
1130 if( t1 == Type::TOP ) return Type::TOP;
1131 if( t2 == Type::TOP ) return Type::TOP;
1132
1133 // Either input is BOTTOM ==> the result is the local BOTTOM
1134 const Type *bot = bottom_type();
1135 if( (t1 == bot) || (t2 == bot) ||
1136 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1137 return bot;
1138
1139 // If either number is not a constant, we know nothing.
1140 if ((t1->base() != Type::FloatCon) || (t2->base() != Type::FloatCon)) {
1141 return Type::FLOAT; // note: x%x can be either NaN or 0
1142 }
1143
1144 float f1 = t1->getf();
1145 float f2 = t2->getf();
1146 jint x1 = jint_cast(f1); // note: *(int*)&f1, not just (int)f1
1147 jint x2 = jint_cast(f2);
1148
1149 // If either is a NaN, return an input NaN
1150 if (g_isnan(f1)) return t1;
1151 if (g_isnan(f2)) return t2;
1152
1153 // If an operand is infinity or the divisor is +/- zero, punt.
1154 if (!g_isfinite(f1) || !g_isfinite(f2) || x2 == 0 || x2 == min_jint)
1155 return Type::FLOAT;
1156
1157 // We must be modulo'ing 2 float constants.
1158 // Make sure that the sign of the fmod is equal to the sign of the dividend
1159 jint xr = jint_cast(fmod(f1, f2));
1160 if ((x1 ^ xr) < 0) {
1161 xr ^= min_jint;
1162 }
1163
1164 return TypeF::make(jfloat_cast(xr));
1165 }
1166
1167
1168 //=============================================================================
1169 //------------------------------Value------------------------------------------
1170 const Type *ModDNode::Value( PhaseTransform *phase ) const {
1171 // Either input is TOP ==> the result is TOP
1172 const Type *t1 = phase->type( in(1) );
1173 const Type *t2 = phase->type( in(2) );
1174 if( t1 == Type::TOP ) return Type::TOP;
1175 if( t2 == Type::TOP ) return Type::TOP;
1176
1177 // Either input is BOTTOM ==> the result is the local BOTTOM
1178 const Type *bot = bottom_type();
1179 if( (t1 == bot) || (t2 == bot) ||
1180 (t1 == Type::BOTTOM) || (t2 == Type::BOTTOM) )
1181 return bot;
1182
1183 // If either number is not a constant, we know nothing.
1184 if ((t1->base() != Type::DoubleCon) || (t2->base() != Type::DoubleCon)) {
1185 return Type::DOUBLE; // note: x%x can be either NaN or 0
1186 }
1187
1188 double f1 = t1->getd();
1189 double f2 = t2->getd();
1190 jlong x1 = jlong_cast(f1); // note: *(long*)&f1, not just (long)f1
1191 jlong x2 = jlong_cast(f2);
1192
1193 // If either is a NaN, return an input NaN
1194 if (g_isnan(f1)) return t1;
1195 if (g_isnan(f2)) return t2;
1196
1197 // If an operand is infinity or the divisor is +/- zero, punt.
1198 if (!g_isfinite(f1) || !g_isfinite(f2) || x2 == 0 || x2 == min_jlong)
1199 return Type::DOUBLE;
1200
1201 // We must be modulo'ing 2 double constants.
1202 // Make sure that the sign of the fmod is equal to the sign of the dividend
1203 jlong xr = jlong_cast(fmod(f1, f2));
1204 if ((x1 ^ xr) < 0) {
1205 xr ^= min_jlong;
1206 }
1207
1208 return TypeD::make(jdouble_cast(xr));
1209 }
1210
1211 //=============================================================================
1212
1213 DivModNode::DivModNode( Node *c, Node *dividend, Node *divisor ) : MultiNode(3) {
1214 init_req(0, c);
1215 init_req(1, dividend);
1216 init_req(2, divisor);
1217 }
1218
1219 //------------------------------make------------------------------------------
1220 DivModINode* DivModINode::make(Compile* C, Node* div_or_mod) {
1221 Node* n = div_or_mod;
1222 assert(n->Opcode() == Op_DivI || n->Opcode() == Op_ModI,
1223 "only div or mod input pattern accepted");
1224
1225 DivModINode* divmod = new (C, 3) DivModINode(n->in(0), n->in(1), n->in(2));
1226 Node* dproj = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num);
1227 Node* mproj = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num);
1228 return divmod;
1229 }
1230
1231 //------------------------------make------------------------------------------
1232 DivModLNode* DivModLNode::make(Compile* C, Node* div_or_mod) {
1233 Node* n = div_or_mod;
1234 assert(n->Opcode() == Op_DivL || n->Opcode() == Op_ModL,
1235 "only div or mod input pattern accepted");
1236
1237 DivModLNode* divmod = new (C, 3) DivModLNode(n->in(0), n->in(1), n->in(2));
1238 Node* dproj = new (C, 1) ProjNode(divmod, DivModNode::div_proj_num);
1239 Node* mproj = new (C, 1) ProjNode(divmod, DivModNode::mod_proj_num);
1240 return divmod;
1241 }
1242
1243 //------------------------------match------------------------------------------
1244 // return result(s) along with their RegMask info
1245 Node *DivModINode::match( const ProjNode *proj, const Matcher *match ) {
1246 uint ideal_reg = proj->ideal_reg();
1247 RegMask rm;
1248 if (proj->_con == div_proj_num) {
1249 rm = match->divI_proj_mask();
1250 } else {
1251 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1252 rm = match->modI_proj_mask();
1253 }
1254 return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg);
1255 }
1256
1257
1258 //------------------------------match------------------------------------------
1259 // return result(s) along with their RegMask info
1260 Node *DivModLNode::match( const ProjNode *proj, const Matcher *match ) {
1261 uint ideal_reg = proj->ideal_reg();
1262 RegMask rm;
1263 if (proj->_con == div_proj_num) {
1264 rm = match->divL_proj_mask();
1265 } else {
1266 assert(proj->_con == mod_proj_num, "must be div or mod projection");
1267 rm = match->modL_proj_mask();
1268 }
1269 return new (match->C, 1)MachProjNode(this, proj->_con, rm, ideal_reg);
1270 }