1/*
2 * Copyright (c) 2012, 2015, 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
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 Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA
20 * or visit www.oracle.com if you need additional information or have any
21 * questions.
22 */
23package org.graalvm.compiler.core.common.type;
24
25import static org.graalvm.compiler.core.common.calc.FloatConvert.I2D;
26import static org.graalvm.compiler.core.common.calc.FloatConvert.I2F;
27import static org.graalvm.compiler.core.common.calc.FloatConvert.L2D;
28import static org.graalvm.compiler.core.common.calc.FloatConvert.L2F;
29
30import java.nio.ByteBuffer;
31import java.util.Formatter;
32
33import org.graalvm.compiler.core.common.LIRKind;
34import org.graalvm.compiler.core.common.NumUtil;
35import org.graalvm.compiler.core.common.spi.LIRKindTool;
36import org.graalvm.compiler.core.common.type.ArithmeticOpTable.BinaryOp;
37import org.graalvm.compiler.core.common.type.ArithmeticOpTable.FloatConvertOp;
38import org.graalvm.compiler.core.common.type.ArithmeticOpTable.IntegerConvertOp;
39import org.graalvm.compiler.core.common.type.ArithmeticOpTable.ShiftOp;
40import org.graalvm.compiler.core.common.type.ArithmeticOpTable.UnaryOp;
41import org.graalvm.compiler.debug.GraalError;
42
43import jdk.vm.ci.code.CodeUtil;
44import jdk.vm.ci.meta.Constant;
45import jdk.vm.ci.meta.JavaConstant;
46import jdk.vm.ci.meta.JavaKind;
47import jdk.vm.ci.meta.MetaAccessProvider;
48import jdk.vm.ci.meta.PrimitiveConstant;
49import jdk.vm.ci.meta.ResolvedJavaType;
50import jdk.vm.ci.meta.SerializableConstant;
51
52/**
53 * Describes the possible values of a node that produces an int or long result.
54 *
55 * The description consists of (inclusive) lower and upper bounds and up (may be set) and down
56 * (always set) bit-masks.
57 */
58public final class IntegerStamp extends PrimitiveStamp {
59
60    private final long lowerBound;
61    private final long upperBound;
62    private final long downMask;
63    private final long upMask;
64
65    private IntegerStamp(int bits, long lowerBound, long upperBound, long downMask, long upMask) {
66        super(bits, OPS);
67
68        this.lowerBound = lowerBound;
69        this.upperBound = upperBound;
70        this.downMask = downMask;
71        this.upMask = upMask;
72
73        assert lowerBound >= CodeUtil.minValue(bits) : this;
74        assert upperBound <= CodeUtil.maxValue(bits) : this;
75        assert (downMask & CodeUtil.mask(bits)) == downMask : this;
76        assert (upMask & CodeUtil.mask(bits)) == upMask : this;
77    }
78
79    public static IntegerStamp create(int bits, long lowerBoundInput, long upperBoundInput) {
80        return create(bits, lowerBoundInput, upperBoundInput, 0, CodeUtil.mask(bits));
81    }
82
83    public static IntegerStamp create(int bits, long lowerBoundInput, long upperBoundInput, long downMask, long upMask) {
84        assert (downMask & ~upMask) == 0 : String.format("\u21ca: %016x \u21c8: %016x", downMask, upMask);
85
86        // Set lower bound, use masks to make it more precise
87        long minValue = minValueForMasks(bits, downMask, upMask);
88        long lowerBoundTmp = Math.max(lowerBoundInput, minValue);
89
90        // Set upper bound, use masks to make it more precise
91        long maxValue = maxValueForMasks(bits, downMask, upMask);
92        long upperBoundTmp = Math.min(upperBoundInput, maxValue);
93
94        // Assign masks now with the bounds in mind.
95        final long boundedDownMask;
96        final long boundedUpMask;
97        long defaultMask = CodeUtil.mask(bits);
98        if (lowerBoundTmp == upperBoundTmp) {
99            boundedDownMask = lowerBoundTmp;
100            boundedUpMask = lowerBoundTmp;
101        } else if (lowerBoundTmp >= 0) {
102            int upperBoundLeadingZeros = Long.numberOfLeadingZeros(upperBoundTmp);
103            long differentBits = lowerBoundTmp ^ upperBoundTmp;
104            int sameBitCount = Long.numberOfLeadingZeros(differentBits << upperBoundLeadingZeros);
105
106            boundedUpMask = upperBoundTmp | -1L >>> (upperBoundLeadingZeros + sameBitCount);
107            boundedDownMask = upperBoundTmp & ~(-1L >>> (upperBoundLeadingZeros + sameBitCount));
108        } else {
109            if (upperBoundTmp >= 0) {
110                boundedUpMask = defaultMask;
111                boundedDownMask = 0;
112            } else {
113                int lowerBoundLeadingOnes = Long.numberOfLeadingZeros(~lowerBoundTmp);
114                long differentBits = lowerBoundTmp ^ upperBoundTmp;
115                int sameBitCount = Long.numberOfLeadingZeros(differentBits << lowerBoundLeadingOnes);
116
117                boundedUpMask = lowerBoundTmp | -1L >>> (lowerBoundLeadingOnes + sameBitCount) | ~(-1L >>> lowerBoundLeadingOnes);
118                boundedDownMask = lowerBoundTmp & ~(-1L >>> (lowerBoundLeadingOnes + sameBitCount)) | ~(-1L >>> lowerBoundLeadingOnes);
119            }
120        }
121
122        return new IntegerStamp(bits, lowerBoundTmp, upperBoundTmp, defaultMask & (downMask | boundedDownMask), defaultMask & upMask & boundedUpMask);
123    }
124
125    static long significantBit(long bits, long value) {
126        return (value >>> (bits - 1)) & 1;
127    }
128
129    static long minValueForMasks(int bits, long downMask, long upMask) {
130        if (significantBit(bits, upMask) == 0) {
131            // Value is always positive. Minimum value always positive.
132            assert significantBit(bits, downMask) == 0;
133            return downMask;
134        } else {
135            // Value can be positive or negative. Minimum value always negative.
136            return downMask | (-1L << (bits - 1));
137        }
138    }
139
140    static long maxValueForMasks(int bits, long downMask, long upMask) {
141        if (significantBit(bits, downMask) == 1) {
142            // Value is always negative. Maximum value always negative.
143            assert significantBit(bits, upMask) == 1;
144            return CodeUtil.signExtend(upMask, bits);
145        } else {
146            // Value can be positive or negative. Maximum value always positive.
147            return upMask & (CodeUtil.mask(bits) >>> 1);
148        }
149    }
150
151    public static IntegerStamp stampForMask(int bits, long downMask, long upMask) {
152        return new IntegerStamp(bits, minValueForMasks(bits, downMask, upMask), maxValueForMasks(bits, downMask, upMask), downMask, upMask);
153    }
154
155    @Override
156    public IntegerStamp unrestricted() {
157        return new IntegerStamp(getBits(), CodeUtil.minValue(getBits()), CodeUtil.maxValue(getBits()), 0, CodeUtil.mask(getBits()));
158    }
159
160    @Override
161    public IntegerStamp empty() {
162        return new IntegerStamp(getBits(), CodeUtil.maxValue(getBits()), CodeUtil.minValue(getBits()), CodeUtil.mask(getBits()), 0);
163    }
164
165    @Override
166    public Stamp constant(Constant c, MetaAccessProvider meta) {
167        if (c instanceof PrimitiveConstant) {
168            long value = ((PrimitiveConstant) c).asLong();
169            return StampFactory.forInteger(getBits(), value, value);
170        }
171        return this;
172    }
173
174    @Override
175    public SerializableConstant deserialize(ByteBuffer buffer) {
176        switch (getBits()) {
177            case 1:
178                return JavaConstant.forBoolean(buffer.get() != 0);
179            case 8:
180                return JavaConstant.forByte(buffer.get());
181            case 16:
182                return JavaConstant.forShort(buffer.getShort());
183            case 32:
184                return JavaConstant.forInt(buffer.getInt());
185            case 64:
186                return JavaConstant.forLong(buffer.getLong());
187            default:
188                throw GraalError.shouldNotReachHere();
189        }
190    }
191
192    @Override
193    public boolean hasValues() {
194        return lowerBound <= upperBound;
195    }
196
197    @Override
198    public JavaKind getStackKind() {
199        if (getBits() > 32) {
200            return JavaKind.Long;
201        } else {
202            return JavaKind.Int;
203        }
204    }
205
206    @Override
207    public LIRKind getLIRKind(LIRKindTool tool) {
208        return tool.getIntegerKind(getBits());
209    }
210
211    @Override
212    public ResolvedJavaType javaType(MetaAccessProvider metaAccess) {
213        switch (getBits()) {
214            case 1:
215                return metaAccess.lookupJavaType(Boolean.TYPE);
216            case 8:
217                return metaAccess.lookupJavaType(Byte.TYPE);
218            case 16:
219                return metaAccess.lookupJavaType(Short.TYPE);
220            case 32:
221                return metaAccess.lookupJavaType(Integer.TYPE);
222            case 64:
223                return metaAccess.lookupJavaType(Long.TYPE);
224            default:
225                throw GraalError.shouldNotReachHere();
226        }
227    }
228
229    /**
230     * The signed inclusive lower bound on the value described by this stamp.
231     */
232    public long lowerBound() {
233        return lowerBound;
234    }
235
236    /**
237     * The signed inclusive upper bound on the value described by this stamp.
238     */
239    public long upperBound() {
240        return upperBound;
241    }
242
243    /**
244     * This bit-mask describes the bits that are always set in the value described by this stamp.
245     */
246    public long downMask() {
247        return downMask;
248    }
249
250    /**
251     * This bit-mask describes the bits that can be set in the value described by this stamp.
252     */
253    public long upMask() {
254        return upMask;
255    }
256
257    @Override
258    public boolean isUnrestricted() {
259        return lowerBound == CodeUtil.minValue(getBits()) && upperBound == CodeUtil.maxValue(getBits()) && downMask == 0 && upMask == CodeUtil.mask(getBits());
260    }
261
262    public boolean contains(long value) {
263        return value >= lowerBound && value <= upperBound && (value & downMask) == downMask && (value & upMask) == (value & CodeUtil.mask(getBits()));
264    }
265
266    public boolean isPositive() {
267        return lowerBound() >= 0;
268    }
269
270    public boolean isNegative() {
271        return upperBound() <= 0;
272    }
273
274    public boolean isStrictlyPositive() {
275        return lowerBound() > 0;
276    }
277
278    public boolean isStrictlyNegative() {
279        return upperBound() < 0;
280    }
281
282    public boolean canBePositive() {
283        return upperBound() > 0;
284    }
285
286    public boolean canBeNegative() {
287        return lowerBound() < 0;
288    }
289
290    @Override
291    public String toString() {
292        StringBuilder str = new StringBuilder();
293        str.append('i');
294        str.append(getBits());
295        if (hasValues()) {
296            if (lowerBound == upperBound) {
297                str.append(" [").append(lowerBound).append(']');
298            } else if (lowerBound != CodeUtil.minValue(getBits()) || upperBound != CodeUtil.maxValue(getBits())) {
299                str.append(" [").append(lowerBound).append(" - ").append(upperBound).append(']');
300            }
301            if (downMask != 0) {
302                str.append(" \u21ca");
303                new Formatter(str).format("%016x", downMask);
304            }
305            if (upMask != CodeUtil.mask(getBits())) {
306                str.append(" \u21c8");
307                new Formatter(str).format("%016x", upMask);
308            }
309        } else {
310            str.append("<empty>");
311        }
312        return str.toString();
313    }
314
315    private IntegerStamp createStamp(IntegerStamp other, long newUpperBound, long newLowerBound, long newDownMask, long newUpMask) {
316        assert getBits() == other.getBits();
317        if (newLowerBound > newUpperBound || (newDownMask & (~newUpMask)) != 0 || (newUpMask == 0 && (newLowerBound > 0 || newUpperBound < 0))) {
318            return empty();
319        } else if (newLowerBound == lowerBound && newUpperBound == upperBound && newDownMask == downMask && newUpMask == upMask) {
320            return this;
321        } else if (newLowerBound == other.lowerBound && newUpperBound == other.upperBound && newDownMask == other.downMask && newUpMask == other.upMask) {
322            return other;
323        } else {
324            return IntegerStamp.create(getBits(), newLowerBound, newUpperBound, newDownMask, newUpMask);
325        }
326    }
327
328    @Override
329    public Stamp meet(Stamp otherStamp) {
330        if (otherStamp == this) {
331            return this;
332        }
333        IntegerStamp other = (IntegerStamp) otherStamp;
334        return createStamp(other, Math.max(upperBound, other.upperBound), Math.min(lowerBound, other.lowerBound), downMask & other.downMask, upMask | other.upMask);
335    }
336
337    @Override
338    public IntegerStamp join(Stamp otherStamp) {
339        if (otherStamp == this) {
340            return this;
341        }
342        IntegerStamp other = (IntegerStamp) otherStamp;
343        long newDownMask = downMask | other.downMask;
344        long newLowerBound = Math.max(lowerBound, other.lowerBound);
345        long newUpperBound = Math.min(upperBound, other.upperBound);
346        long newUpMask = upMask & other.upMask;
347        return createStamp(other, newUpperBound, newLowerBound, newDownMask, newUpMask);
348    }
349
350    @Override
351    public boolean isCompatible(Stamp stamp) {
352        if (this == stamp) {
353            return true;
354        }
355        if (stamp instanceof IntegerStamp) {
356            IntegerStamp other = (IntegerStamp) stamp;
357            return getBits() == other.getBits();
358        }
359        return false;
360    }
361
362    @Override
363    public boolean isCompatible(Constant constant) {
364        if (constant instanceof PrimitiveConstant) {
365            PrimitiveConstant prim = (PrimitiveConstant) constant;
366            return prim.getJavaKind().isNumericInteger();
367        }
368        return false;
369    }
370
371    public long unsignedUpperBound() {
372        if (sameSignBounds()) {
373            return CodeUtil.zeroExtend(upperBound(), getBits());
374        }
375        return NumUtil.maxValueUnsigned(getBits());
376    }
377
378    public long unsignedLowerBound() {
379        if (sameSignBounds()) {
380            return CodeUtil.zeroExtend(lowerBound(), getBits());
381        }
382        return 0;
383    }
384
385    private boolean sameSignBounds() {
386        return NumUtil.sameSign(lowerBound, upperBound);
387    }
388
389    @Override
390    public int hashCode() {
391        final int prime = 31;
392        int result = 1;
393        result = prime * result + super.hashCode();
394        result = prime * result + (int) (lowerBound ^ (lowerBound >>> 32));
395        result = prime * result + (int) (upperBound ^ (upperBound >>> 32));
396        result = prime * result + (int) (downMask ^ (downMask >>> 32));
397        result = prime * result + (int) (upMask ^ (upMask >>> 32));
398        return result;
399    }
400
401    @Override
402    public boolean equals(Object obj) {
403        if (this == obj) {
404            return true;
405        }
406        if (obj == null || getClass() != obj.getClass() || !super.equals(obj)) {
407            return false;
408        }
409        IntegerStamp other = (IntegerStamp) obj;
410        if (lowerBound != other.lowerBound || upperBound != other.upperBound || downMask != other.downMask || upMask != other.upMask) {
411            return false;
412        }
413        return super.equals(other);
414    }
415
416    public static long upMaskFor(int bits, long lowerBound, long upperBound) {
417        long mask = lowerBound | upperBound;
418        if (mask == 0) {
419            return 0;
420        } else {
421            return ((-1L) >>> Long.numberOfLeadingZeros(mask)) & CodeUtil.mask(bits);
422        }
423    }
424
425    /**
426     * Checks if the 2 stamps represent values of the same sign. Returns true if the two stamps are
427     * both positive of null or if they are both strictly negative
428     *
429     * @return true if the two stamps are both positive of null or if they are both strictly
430     *         negative
431     */
432    public static boolean sameSign(IntegerStamp s1, IntegerStamp s2) {
433        return s1.isPositive() && s2.isPositive() || s1.isStrictlyNegative() && s2.isStrictlyNegative();
434    }
435
436    @Override
437    public JavaConstant asConstant() {
438        if (lowerBound == upperBound) {
439            switch (getBits()) {
440                case 1:
441                    return JavaConstant.forBoolean(lowerBound != 0);
442                case 8:
443                    return JavaConstant.forByte((byte) lowerBound);
444                case 16:
445                    return JavaConstant.forShort((short) lowerBound);
446                case 32:
447                    return JavaConstant.forInt((int) lowerBound);
448                case 64:
449                    return JavaConstant.forLong(lowerBound);
450            }
451        }
452        return null;
453    }
454
455    public static boolean addCanOverflow(IntegerStamp a, IntegerStamp b) {
456        assert a.getBits() == b.getBits();
457        return addOverflowsPositively(a.upperBound(), b.upperBound(), a.getBits()) ||
458                        addOverflowsNegatively(a.lowerBound(), b.lowerBound(), a.getBits());
459
460    }
461
462    public static boolean addOverflowsPositively(long x, long y, int bits) {
463        long result = x + y;
464        if (bits == 64) {
465            return (~x & ~y & result) < 0;
466        } else {
467            return result > CodeUtil.maxValue(bits);
468        }
469    }
470
471    public static boolean addOverflowsNegatively(long x, long y, int bits) {
472        long result = x + y;
473        if (bits == 64) {
474            return (x & y & ~result) < 0;
475        } else {
476            return result < CodeUtil.minValue(bits);
477        }
478    }
479
480    public static long carryBits(long x, long y) {
481        return (x + y) ^ x ^ y;
482    }
483
484    private static long saturate(long v, int bits) {
485        if (bits < 64) {
486            long max = CodeUtil.maxValue(bits);
487            if (v > max) {
488                return max;
489            }
490            long min = CodeUtil.minValue(bits);
491            if (v < min) {
492                return min;
493            }
494        }
495        return v;
496    }
497
498    public static boolean multiplicationOverflows(long a, long b, int bits) {
499        assert bits <= 64 && bits >= 0;
500        long result = a * b;
501        // result is positive if the sign is the same
502        boolean positive = (a >= 0 && b >= 0) || (a < 0 && b < 0);
503        if (bits == 64) {
504            if (a > 0 && b > 0) {
505                return a > 0x7FFFFFFF_FFFFFFFFL / b;
506            } else if (a > 0 && b <= 0) {
507                return b < 0x80000000_00000000L / a;
508            } else if (a <= 0 && b > 0) {
509                return a < 0x80000000_00000000L / b;
510            } else {
511                // a<=0 && b <=0
512                return a != 0 && b < 0x7FFFFFFF_FFFFFFFFL / a;
513            }
514        } else {
515            if (positive) {
516                return result > CodeUtil.maxValue(bits);
517            } else {
518                return result < CodeUtil.minValue(bits);
519            }
520        }
521    }
522
523    public static boolean multiplicationCanOverflow(IntegerStamp a, IntegerStamp b) {
524        // see IntegerStamp#foldStamp for details
525        assert a.getBits() == b.getBits();
526        if (a.upMask() == 0) {
527            return false;
528        } else if (b.upMask() == 0) {
529            return false;
530        }
531        if (a.isUnrestricted()) {
532            return true;
533        }
534        if (b.isUnrestricted()) {
535            return true;
536        }
537        int bits = a.getBits();
538        long minNegA = a.lowerBound();
539        long maxNegA = Math.min(0, a.upperBound());
540        long minPosA = Math.max(0, a.lowerBound());
541        long maxPosA = a.upperBound();
542
543        long minNegB = b.lowerBound();
544        long maxNegB = Math.min(0, b.upperBound());
545        long minPosB = Math.max(0, b.lowerBound());
546        long maxPosB = b.upperBound();
547
548        boolean mayOverflow = false;
549        if (a.canBePositive()) {
550            if (b.canBePositive()) {
551                mayOverflow |= IntegerStamp.multiplicationOverflows(maxPosA, maxPosB, bits);
552                mayOverflow |= IntegerStamp.multiplicationOverflows(minPosA, minPosB, bits);
553            }
554            if (b.canBeNegative()) {
555                mayOverflow |= IntegerStamp.multiplicationOverflows(minPosA, maxNegB, bits);
556                mayOverflow |= IntegerStamp.multiplicationOverflows(maxPosA, minNegB, bits);
557
558            }
559        }
560        if (a.canBeNegative()) {
561            if (b.canBePositive()) {
562                mayOverflow |= IntegerStamp.multiplicationOverflows(maxNegA, minPosB, bits);
563                mayOverflow |= IntegerStamp.multiplicationOverflows(minNegA, maxPosB, bits);
564            }
565            if (b.canBeNegative()) {
566                mayOverflow |= IntegerStamp.multiplicationOverflows(minNegA, minNegB, bits);
567                mayOverflow |= IntegerStamp.multiplicationOverflows(maxNegA, maxNegB, bits);
568            }
569        }
570        return mayOverflow;
571    }
572
573    public static boolean subtractionCanOverflow(IntegerStamp x, IntegerStamp y) {
574        assert x.getBits() == y.getBits();
575        return subtractionOverflows(x.lowerBound(), y.upperBound(), x.getBits()) || subtractionOverflows(x.upperBound(), y.lowerBound(), x.getBits());
576    }
577
578    public static boolean subtractionOverflows(long x, long y, int bits) {
579        long result = x - y;
580        if (bits == 64) {
581            return (((x ^ y) & (x ^ result)) < 0);
582        }
583        return result < CodeUtil.minValue(bits) || result > CodeUtil.maxValue(bits);
584    }
585
586    public static final ArithmeticOpTable OPS = new ArithmeticOpTable(
587
588                    new UnaryOp.Neg() {
589
590                        @Override
591                        public Constant foldConstant(Constant value) {
592                            PrimitiveConstant c = (PrimitiveConstant) value;
593                            return JavaConstant.forIntegerKind(c.getJavaKind(), -c.asLong());
594                        }
595
596                        @Override
597                        public Stamp foldStamp(Stamp s) {
598                            IntegerStamp stamp = (IntegerStamp) s;
599                            int bits = stamp.getBits();
600                            if (stamp.lowerBound() != CodeUtil.minValue(bits)) {
601                                // TODO(ls) check if the mask calculation is correct...
602                                return StampFactory.forInteger(bits, -stamp.upperBound(), -stamp.lowerBound());
603                            } else {
604                                return stamp.unrestricted();
605                            }
606                        }
607                    },
608
609                    new BinaryOp.Add(true, true) {
610
611                        @Override
612                        public Constant foldConstant(Constant const1, Constant const2) {
613                            PrimitiveConstant a = (PrimitiveConstant) const1;
614                            PrimitiveConstant b = (PrimitiveConstant) const2;
615                            assert a.getJavaKind() == b.getJavaKind();
616                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() + b.asLong());
617                        }
618
619                        @Override
620                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
621                            IntegerStamp a = (IntegerStamp) stamp1;
622                            IntegerStamp b = (IntegerStamp) stamp2;
623
624                            int bits = a.getBits();
625                            assert bits == b.getBits();
626
627                            if (a.isUnrestricted()) {
628                                return a;
629                            } else if (b.isUnrestricted()) {
630                                return b;
631                            }
632                            long defaultMask = CodeUtil.mask(bits);
633                            long variableBits = (a.downMask() ^ a.upMask()) | (b.downMask() ^ b.upMask());
634                            long variableBitsWithCarry = variableBits | (carryBits(a.downMask(), b.downMask()) ^ carryBits(a.upMask(), b.upMask()));
635                            long newDownMask = (a.downMask() + b.downMask()) & ~variableBitsWithCarry;
636                            long newUpMask = (a.downMask() + b.downMask()) | variableBitsWithCarry;
637
638                            newDownMask &= defaultMask;
639                            newUpMask &= defaultMask;
640
641                            long newLowerBound;
642                            long newUpperBound;
643                            boolean lowerOverflowsPositively = addOverflowsPositively(a.lowerBound(), b.lowerBound(), bits);
644                            boolean upperOverflowsPositively = addOverflowsPositively(a.upperBound(), b.upperBound(), bits);
645                            boolean lowerOverflowsNegatively = addOverflowsNegatively(a.lowerBound(), b.lowerBound(), bits);
646                            boolean upperOverflowsNegatively = addOverflowsNegatively(a.upperBound(), b.upperBound(), bits);
647                            if ((lowerOverflowsNegatively && !upperOverflowsNegatively) || (!lowerOverflowsPositively && upperOverflowsPositively)) {
648                                newLowerBound = CodeUtil.minValue(bits);
649                                newUpperBound = CodeUtil.maxValue(bits);
650                            } else {
651                                newLowerBound = CodeUtil.signExtend((a.lowerBound() + b.lowerBound()) & defaultMask, bits);
652                                newUpperBound = CodeUtil.signExtend((a.upperBound() + b.upperBound()) & defaultMask, bits);
653                            }
654                            IntegerStamp limit = StampFactory.forInteger(bits, newLowerBound, newUpperBound);
655                            newUpMask &= limit.upMask();
656                            newUpperBound = CodeUtil.signExtend(newUpperBound & newUpMask, bits);
657                            newDownMask |= limit.downMask();
658                            newLowerBound |= newDownMask;
659                            return new IntegerStamp(bits, newLowerBound, newUpperBound, newDownMask, newUpMask);
660                        }
661
662                        @Override
663                        public boolean isNeutral(Constant value) {
664                            PrimitiveConstant n = (PrimitiveConstant) value;
665                            return n.asLong() == 0;
666                        }
667                    },
668
669                    new BinaryOp.Sub(true, false) {
670
671                        @Override
672                        public Constant foldConstant(Constant const1, Constant const2) {
673                            PrimitiveConstant a = (PrimitiveConstant) const1;
674                            PrimitiveConstant b = (PrimitiveConstant) const2;
675                            assert a.getJavaKind() == b.getJavaKind();
676                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() - b.asLong());
677                        }
678
679                        @Override
680                        public Stamp foldStamp(Stamp a, Stamp b) {
681                            return OPS.getAdd().foldStamp(a, OPS.getNeg().foldStamp(b));
682                        }
683
684                        @Override
685                        public boolean isNeutral(Constant value) {
686                            PrimitiveConstant n = (PrimitiveConstant) value;
687                            return n.asLong() == 0;
688                        }
689
690                        @Override
691                        public Constant getZero(Stamp s) {
692                            IntegerStamp stamp = (IntegerStamp) s;
693                            return JavaConstant.forPrimitiveInt(stamp.getBits(), 0);
694                        }
695                    },
696
697                    new BinaryOp.Mul(true, true) {
698
699                        @Override
700                        public Constant foldConstant(Constant const1, Constant const2) {
701                            PrimitiveConstant a = (PrimitiveConstant) const1;
702                            PrimitiveConstant b = (PrimitiveConstant) const2;
703                            assert a.getJavaKind() == b.getJavaKind();
704                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() * b.asLong());
705                        }
706
707                        @Override
708                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
709                            IntegerStamp a = (IntegerStamp) stamp1;
710                            IntegerStamp b = (IntegerStamp) stamp2;
711
712                            int bits = a.getBits();
713                            assert bits == b.getBits();
714                            // if a==0 or b==0 result of a*b is always 0
715                            if (a.upMask() == 0) {
716                                return a;
717                            } else if (b.upMask() == 0) {
718                                return b;
719                            } else {
720                                // if a has the full range or b, the result will also have it
721                                if (a.isUnrestricted()) {
722                                    return a;
723                                } else if (b.isUnrestricted()) {
724                                    return b;
725                                }
726                                // a!=0 && b !=0 holds
727                                long newLowerBound = Long.MAX_VALUE;
728                                long newUpperBound = Long.MIN_VALUE;
729                                /*
730                                 * Based on the signs of the incoming stamps lower and upper bound
731                                 * of the result of the multiplication may be swapped. LowerBound
732                                 * can become upper bound if both signs are negative, and so on. To
733                                 * determine the new values for lower and upper bound we need to
734                                 * look at the max and min of the cases blow:
735                                 *
736                                 * @formatter:off
737                                 *
738                                 * a.lowerBound * b.lowerBound
739                                 * a.lowerBound * b.upperBound
740                                 * a.upperBound * b.lowerBound
741                                 * a.upperBound * b.upperBound
742                                 *
743                                 * @formatter:on
744                                 *
745                                 * We are only interested in those cases that are relevant due to
746                                 * the sign of the involved stamps (whether a stamp includes
747                                 * negative and / or positive values). Based on the signs, the maximum
748                                 * or minimum of the above multiplications form the new lower and
749                                 * upper bounds.
750                                 *
751                                 * The table below contains the interesting candidates for lower and
752                                 * upper bound after multiplication.
753                                 *
754                                 * For example if we consider two stamps a & b that both contain
755                                 * negative and positive values, the product of minNegA * minNegB
756                                 * (both the smallest negative value for each stamp) can only be the
757                                 * highest positive number. The other candidates can be computed in
758                                 * a similar fashion. Some of them can never be a new minimum or
759                                 * maximum and are therefore excluded.
760                                 *
761                                 *
762                                 * @formatter:off
763                                 *
764                                 *          [x................0................y]
765                                 *          -------------------------------------
766                                 *          [minNeg     maxNeg minPos     maxPos]
767                                 *
768                                 *          where maxNeg = min(0,y) && minPos = max(0,x)
769                                 *
770                                 *
771                                 *                 |minNegA  maxNegA    minPosA  maxPosA
772                                 *         _______ |____________________________________
773                                 *         minNegB | MAX        /     :     /      MIN
774                                 *         maxNegB |  /        MIN    :    MAX      /
775                                 *                 |------------------+-----------------
776                                 *         minPosB |  /        MAX    :    MIN      /
777                                 *         maxPosB | MIN        /     :     /      MAX
778                                 *
779                                 * @formatter:on
780                                 */
781                                // We materialize all factors here. If they are needed, the signs of
782                                // the stamp will ensure the correct value is used.
783                                long minNegA = a.lowerBound();
784                                long maxNegA = Math.min(0, a.upperBound());
785                                long minPosA = Math.max(0, a.lowerBound());
786                                long maxPosA = a.upperBound();
787
788                                long minNegB = b.lowerBound();
789                                long maxNegB = Math.min(0, b.upperBound());
790                                long minPosB = Math.max(0, b.lowerBound());
791                                long maxPosB = b.upperBound();
792
793                                // multiplication has shift semantics
794                                long newUpMask = ~CodeUtil.mask(Long.numberOfTrailingZeros(a.upMask) + Long.numberOfTrailingZeros(b.upMask)) & CodeUtil.mask(bits);
795
796                                if (a.canBePositive()) {
797                                    if (b.canBePositive()) {
798                                        if (multiplicationOverflows(maxPosA, maxPosB, bits)) {
799                                            return a.unrestricted();
800                                        }
801                                        long maxCandidate = maxPosA * maxPosB;
802                                        if (multiplicationOverflows(minPosA, minPosB, bits)) {
803                                            return a.unrestricted();
804                                        }
805                                        long minCandidate = minPosA * minPosB;
806                                        newLowerBound = Math.min(newLowerBound, minCandidate);
807                                        newUpperBound = Math.max(newUpperBound, maxCandidate);
808                                    }
809                                    if (b.canBeNegative()) {
810                                        if (multiplicationOverflows(minPosA, maxNegB, bits)) {
811                                            return a.unrestricted();
812                                        }
813                                        long maxCandidate = minPosA * maxNegB;
814                                        if (multiplicationOverflows(maxPosA, minNegB, bits)) {
815                                            return a.unrestricted();
816                                        }
817                                        long minCandidate = maxPosA * minNegB;
818                                        newLowerBound = Math.min(newLowerBound, minCandidate);
819                                        newUpperBound = Math.max(newUpperBound, maxCandidate);
820                                    }
821                                }
822                                if (a.canBeNegative()) {
823                                    if (b.canBePositive()) {
824                                        if (multiplicationOverflows(maxNegA, minPosB, bits)) {
825                                            return a.unrestricted();
826                                        }
827                                        long maxCandidate = maxNegA * minPosB;
828                                        if (multiplicationOverflows(minNegA, maxPosB, bits)) {
829                                            return a.unrestricted();
830                                        }
831                                        long minCandidate = minNegA * maxPosB;
832                                        newLowerBound = Math.min(newLowerBound, minCandidate);
833                                        newUpperBound = Math.max(newUpperBound, maxCandidate);
834                                    }
835                                    if (b.canBeNegative()) {
836                                        if (multiplicationOverflows(minNegA, minNegB, bits)) {
837                                            return a.unrestricted();
838                                        }
839                                        long maxCandidate = minNegA * minNegB;
840                                        if (multiplicationOverflows(maxNegA, maxNegB, bits)) {
841                                            return a.unrestricted();
842                                        }
843                                        long minCandidate = maxNegA * maxNegB;
844                                        newLowerBound = Math.min(newLowerBound, minCandidate);
845                                        newUpperBound = Math.max(newUpperBound, maxCandidate);
846                                    }
847                                }
848
849                                assert newLowerBound <= newUpperBound;
850                                return StampFactory.forIntegerWithMask(bits, newLowerBound, newUpperBound, 0, newUpMask);
851                            }
852                        }
853
854                        @Override
855                        public boolean isNeutral(Constant value) {
856                            PrimitiveConstant n = (PrimitiveConstant) value;
857                            return n.asLong() == 1;
858                        }
859                    },
860
861                    new BinaryOp.MulHigh(true, true) {
862
863                        @Override
864                        public Constant foldConstant(Constant const1, Constant const2) {
865                            PrimitiveConstant a = (PrimitiveConstant) const1;
866                            PrimitiveConstant b = (PrimitiveConstant) const2;
867                            assert a.getJavaKind() == b.getJavaKind();
868                            return JavaConstant.forIntegerKind(a.getJavaKind(), multiplyHigh(a.asLong(), b.asLong(), a.getJavaKind()));
869                        }
870
871                        @Override
872                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
873                            IntegerStamp a = (IntegerStamp) stamp1;
874                            IntegerStamp b = (IntegerStamp) stamp2;
875                            JavaKind javaKind = a.getStackKind();
876
877                            assert a.getBits() == b.getBits();
878                            assert javaKind == b.getStackKind();
879                            assert (javaKind == JavaKind.Int || javaKind == JavaKind.Long);
880
881                            if (a.isEmpty() || b.isEmpty()) {
882                                return a.empty();
883                            } else if (a.isUnrestricted() || b.isUnrestricted()) {
884                                return a.unrestricted();
885                            }
886
887                            long[] xExtremes = {a.lowerBound(), a.upperBound()};
888                            long[] yExtremes = {b.lowerBound(), b.upperBound()};
889                            long min = Long.MAX_VALUE;
890                            long max = Long.MIN_VALUE;
891                            for (long x : xExtremes) {
892                                for (long y : yExtremes) {
893                                    long result = multiplyHigh(x, y, javaKind);
894                                    min = Math.min(min, result);
895                                    max = Math.max(max, result);
896                                }
897                            }
898                            return StampFactory.forInteger(javaKind, min, max);
899                        }
900
901                        @Override
902                        public boolean isNeutral(Constant value) {
903                            return false;
904                        }
905
906                        private long multiplyHigh(long x, long y, JavaKind javaKind) {
907                            if (javaKind == JavaKind.Int) {
908                                return (x * y) >> 32;
909                            } else {
910                                assert javaKind == JavaKind.Long;
911                                long x0 = x & 0xFFFFFFFFL;
912                                long x1 = x >> 32;
913
914                                long y0 = y & 0xFFFFFFFFL;
915                                long y1 = y >> 32;
916
917                                long z0 = x0 * y0;
918                                long t = x1 * y0 + (z0 >>> 32);
919                                long z1 = t & 0xFFFFFFFFL;
920                                long z2 = t >> 32;
921                                z1 += x0 * y1;
922
923                                return x1 * y1 + z2 + (z1 >> 32);
924                            }
925                        }
926                    },
927
928                    new BinaryOp.UMulHigh(true, true) {
929
930                        @Override
931                        public Constant foldConstant(Constant const1, Constant const2) {
932                            PrimitiveConstant a = (PrimitiveConstant) const1;
933                            PrimitiveConstant b = (PrimitiveConstant) const2;
934                            assert a.getJavaKind() == b.getJavaKind();
935                            return JavaConstant.forIntegerKind(a.getJavaKind(), multiplyHighUnsigned(a.asLong(), b.asLong(), a.getJavaKind()));
936                        }
937
938                        @Override
939                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
940                            IntegerStamp a = (IntegerStamp) stamp1;
941                            IntegerStamp b = (IntegerStamp) stamp2;
942                            JavaKind javaKind = a.getStackKind();
943
944                            assert a.getBits() == b.getBits();
945                            assert javaKind == b.getStackKind();
946                            assert (javaKind == JavaKind.Int || javaKind == JavaKind.Long);
947
948                            if (a.isEmpty() || b.isEmpty()) {
949                                return a.empty();
950                            } else if (a.isUnrestricted() || b.isUnrestricted()) {
951                                return a.unrestricted();
952                            }
953
954                            // Note that the minima and maxima are calculated using signed min/max
955                            // functions, while the values themselves are unsigned.
956                            long[] xExtremes = getUnsignedExtremes(a);
957                            long[] yExtremes = getUnsignedExtremes(b);
958                            long min = Long.MAX_VALUE;
959                            long max = Long.MIN_VALUE;
960                            for (long x : xExtremes) {
961                                for (long y : yExtremes) {
962                                    long result = multiplyHighUnsigned(x, y, javaKind);
963                                    min = Math.min(min, result);
964                                    max = Math.max(max, result);
965                                }
966                            }
967
968                            // if min is negative, then the value can reach into the unsigned range
969                            if (min == max || min >= 0) {
970                                return StampFactory.forInteger(javaKind, min, max);
971                            } else {
972                                return StampFactory.forKind(javaKind);
973                            }
974                        }
975
976                        @Override
977                        public boolean isNeutral(Constant value) {
978                            return false;
979                        }
980
981                        private long[] getUnsignedExtremes(IntegerStamp stamp) {
982                            if (stamp.lowerBound() < 0 && stamp.upperBound() >= 0) {
983                                /*
984                                 * If -1 and 0 are both in the signed range, then we can't say
985                                 * anything about the unsigned range, so we have to return [0,
986                                 * MAX_UNSIGNED].
987                                 */
988                                return new long[]{0, -1L};
989                            } else {
990                                return new long[]{stamp.lowerBound(), stamp.upperBound()};
991                            }
992                        }
993
994                        private long multiplyHighUnsigned(long x, long y, JavaKind javaKind) {
995                            if (javaKind == JavaKind.Int) {
996                                long xl = x & 0xFFFFFFFFL;
997                                long yl = y & 0xFFFFFFFFL;
998                                long r = xl * yl;
999                                return (int) (r >>> 32);
1000                            } else {
1001                                assert javaKind == JavaKind.Long;
1002                                long x0 = x & 0xFFFFFFFFL;
1003                                long x1 = x >>> 32;
1004
1005                                long y0 = y & 0xFFFFFFFFL;
1006                                long y1 = y >>> 32;
1007
1008                                long z0 = x0 * y0;
1009                                long t = x1 * y0 + (z0 >>> 32);
1010                                long z1 = t & 0xFFFFFFFFL;
1011                                long z2 = t >>> 32;
1012                                z1 += x0 * y1;
1013
1014                                return x1 * y1 + z2 + (z1 >>> 32);
1015                            }
1016                        }
1017                    },
1018
1019                    new BinaryOp.Div(true, false) {
1020
1021                        @Override
1022                        public Constant foldConstant(Constant const1, Constant const2) {
1023                            PrimitiveConstant a = (PrimitiveConstant) const1;
1024                            PrimitiveConstant b = (PrimitiveConstant) const2;
1025                            assert a.getJavaKind() == b.getJavaKind();
1026                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() / b.asLong());
1027                        }
1028
1029                        @Override
1030                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
1031                            IntegerStamp a = (IntegerStamp) stamp1;
1032                            IntegerStamp b = (IntegerStamp) stamp2;
1033                            assert a.getBits() == b.getBits();
1034                            if (b.isStrictlyPositive()) {
1035                                long newLowerBound = a.lowerBound() / b.upperBound();
1036                                long newUpperBound = a.upperBound() / b.lowerBound();
1037                                return StampFactory.forInteger(a.getBits(), newLowerBound, newUpperBound);
1038                            } else {
1039                                return a.unrestricted();
1040                            }
1041                        }
1042
1043                        @Override
1044                        public boolean isNeutral(Constant value) {
1045                            PrimitiveConstant n = (PrimitiveConstant) value;
1046                            return n.asLong() == 1;
1047                        }
1048                    },
1049
1050                    new BinaryOp.Rem(false, false) {
1051
1052                        @Override
1053                        public Constant foldConstant(Constant const1, Constant const2) {
1054                            PrimitiveConstant a = (PrimitiveConstant) const1;
1055                            PrimitiveConstant b = (PrimitiveConstant) const2;
1056                            assert a.getJavaKind() == b.getJavaKind();
1057                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() % b.asLong());
1058                        }
1059
1060                        @Override
1061                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
1062                            IntegerStamp a = (IntegerStamp) stamp1;
1063                            IntegerStamp b = (IntegerStamp) stamp2;
1064                            assert a.getBits() == b.getBits();
1065                            // zero is always possible
1066                            long newLowerBound = Math.min(a.lowerBound(), 0);
1067                            long newUpperBound = Math.max(a.upperBound(), 0);
1068
1069                            /* the maximum absolute value of the result, derived from b */
1070                            long magnitude;
1071                            if (b.lowerBound() == CodeUtil.minValue(b.getBits())) {
1072                                // Math.abs(...) - 1 does not work in a case
1073                                magnitude = CodeUtil.maxValue(b.getBits());
1074                            } else {
1075                                magnitude = Math.max(Math.abs(b.lowerBound()), Math.abs(b.upperBound())) - 1;
1076                            }
1077                            newLowerBound = Math.max(newLowerBound, -magnitude);
1078                            newUpperBound = Math.min(newUpperBound, magnitude);
1079
1080                            return StampFactory.forInteger(a.getBits(), newLowerBound, newUpperBound);
1081                        }
1082                    },
1083
1084                    new UnaryOp.Not() {
1085
1086                        @Override
1087                        public Constant foldConstant(Constant c) {
1088                            PrimitiveConstant value = (PrimitiveConstant) c;
1089                            return JavaConstant.forIntegerKind(value.getJavaKind(), ~value.asLong());
1090                        }
1091
1092                        @Override
1093                        public Stamp foldStamp(Stamp stamp) {
1094                            IntegerStamp integerStamp = (IntegerStamp) stamp;
1095                            int bits = integerStamp.getBits();
1096                            long defaultMask = CodeUtil.mask(bits);
1097                            return new IntegerStamp(bits, ~integerStamp.upperBound(), ~integerStamp.lowerBound(), (~integerStamp.upMask()) & defaultMask, (~integerStamp.downMask()) & defaultMask);
1098                        }
1099                    },
1100
1101                    new BinaryOp.And(true, true) {
1102
1103                        @Override
1104                        public Constant foldConstant(Constant const1, Constant const2) {
1105                            PrimitiveConstant a = (PrimitiveConstant) const1;
1106                            PrimitiveConstant b = (PrimitiveConstant) const2;
1107                            assert a.getJavaKind() == b.getJavaKind();
1108                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() & b.asLong());
1109                        }
1110
1111                        @Override
1112                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
1113                            IntegerStamp a = (IntegerStamp) stamp1;
1114                            IntegerStamp b = (IntegerStamp) stamp2;
1115                            assert a.getBits() == b.getBits();
1116                            return stampForMask(a.getBits(), a.downMask() & b.downMask(), a.upMask() & b.upMask());
1117                        }
1118
1119                        @Override
1120                        public boolean isNeutral(Constant value) {
1121                            PrimitiveConstant n = (PrimitiveConstant) value;
1122                            int bits = n.getJavaKind().getBitCount();
1123                            long mask = CodeUtil.mask(bits);
1124                            return (n.asLong() & mask) == mask;
1125                        }
1126                    },
1127
1128                    new BinaryOp.Or(true, true) {
1129
1130                        @Override
1131                        public Constant foldConstant(Constant const1, Constant const2) {
1132                            PrimitiveConstant a = (PrimitiveConstant) const1;
1133                            PrimitiveConstant b = (PrimitiveConstant) const2;
1134                            assert a.getJavaKind() == b.getJavaKind();
1135                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() | b.asLong());
1136                        }
1137
1138                        @Override
1139                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
1140                            IntegerStamp a = (IntegerStamp) stamp1;
1141                            IntegerStamp b = (IntegerStamp) stamp2;
1142                            assert a.getBits() == b.getBits();
1143                            return stampForMask(a.getBits(), a.downMask() | b.downMask(), a.upMask() | b.upMask());
1144                        }
1145
1146                        @Override
1147                        public boolean isNeutral(Constant value) {
1148                            PrimitiveConstant n = (PrimitiveConstant) value;
1149                            return n.asLong() == 0;
1150                        }
1151                    },
1152
1153                    new BinaryOp.Xor(true, true) {
1154
1155                        @Override
1156                        public Constant foldConstant(Constant const1, Constant const2) {
1157                            PrimitiveConstant a = (PrimitiveConstant) const1;
1158                            PrimitiveConstant b = (PrimitiveConstant) const2;
1159                            assert a.getJavaKind() == b.getJavaKind();
1160                            return JavaConstant.forIntegerKind(a.getJavaKind(), a.asLong() ^ b.asLong());
1161                        }
1162
1163                        @Override
1164                        public Stamp foldStamp(Stamp stamp1, Stamp stamp2) {
1165                            IntegerStamp a = (IntegerStamp) stamp1;
1166                            IntegerStamp b = (IntegerStamp) stamp2;
1167                            assert a.getBits() == b.getBits();
1168
1169                            long variableBits = (a.downMask() ^ a.upMask()) | (b.downMask() ^ b.upMask());
1170                            long newDownMask = (a.downMask() ^ b.downMask()) & ~variableBits;
1171                            long newUpMask = (a.downMask() ^ b.downMask()) | variableBits;
1172                            return stampForMask(a.getBits(), newDownMask, newUpMask);
1173                        }
1174
1175                        @Override
1176                        public boolean isNeutral(Constant value) {
1177                            PrimitiveConstant n = (PrimitiveConstant) value;
1178                            return n.asLong() == 0;
1179                        }
1180
1181                        @Override
1182                        public Constant getZero(Stamp s) {
1183                            IntegerStamp stamp = (IntegerStamp) s;
1184                            return JavaConstant.forPrimitiveInt(stamp.getBits(), 0);
1185                        }
1186                    },
1187
1188                    new ShiftOp.Shl() {
1189
1190                        @Override
1191                        public Constant foldConstant(Constant value, int amount) {
1192                            PrimitiveConstant c = (PrimitiveConstant) value;
1193                            switch (c.getJavaKind()) {
1194                                case Int:
1195                                    return JavaConstant.forInt(c.asInt() << amount);
1196                                case Long:
1197                                    return JavaConstant.forLong(c.asLong() << amount);
1198                                default:
1199                                    throw GraalError.shouldNotReachHere();
1200                            }
1201                        }
1202
1203                        @Override
1204                        public Stamp foldStamp(Stamp stamp, IntegerStamp shift) {
1205                            IntegerStamp value = (IntegerStamp) stamp;
1206                            int bits = value.getBits();
1207                            if (value.isEmpty()) {
1208                                return value;
1209                            } else if (shift.isEmpty()) {
1210                                return StampFactory.forInteger(bits).empty();
1211                            } else if (value.upMask() == 0) {
1212                                return value;
1213                            }
1214
1215                            int shiftMask = getShiftAmountMask(stamp);
1216                            int shiftBits = Integer.bitCount(shiftMask);
1217                            if (shift.lowerBound() == shift.upperBound()) {
1218                                int shiftAmount = (int) (shift.lowerBound() & shiftMask);
1219                                if (shiftAmount == 0) {
1220                                    return value;
1221                                }
1222                                // the mask of bits that will be lost or shifted into the sign bit
1223                                long removedBits = -1L << (bits - shiftAmount - 1);
1224                                if ((value.lowerBound() & removedBits) == 0 && (value.upperBound() & removedBits) == 0) {
1225                                    /*
1226                                     * use a better stamp if neither lower nor upper bound can lose
1227                                     * bits
1228                                     */
1229                                    return new IntegerStamp(bits, value.lowerBound() << shiftAmount, value.upperBound() << shiftAmount, value.downMask() << shiftAmount, value.upMask() << shiftAmount);
1230                                }
1231                            }
1232                            if ((shift.lowerBound() >>> shiftBits) == (shift.upperBound() >>> shiftBits)) {
1233                                long defaultMask = CodeUtil.mask(bits);
1234                                long downMask = defaultMask;
1235                                long upMask = 0;
1236                                for (long i = shift.lowerBound(); i <= shift.upperBound(); i++) {
1237                                    if (shift.contains(i)) {
1238                                        downMask &= value.downMask() << (i & shiftMask);
1239                                        upMask |= value.upMask() << (i & shiftMask);
1240                                    }
1241                                }
1242                                Stamp result = IntegerStamp.stampForMask(bits, downMask, upMask & defaultMask);
1243                                return result;
1244                            }
1245                            return value.unrestricted();
1246                        }
1247
1248                        @Override
1249                        public int getShiftAmountMask(Stamp s) {
1250                            IntegerStamp stamp = (IntegerStamp) s;
1251                            assert CodeUtil.isPowerOf2(stamp.getBits());
1252                            return stamp.getBits() - 1;
1253                        }
1254                    },
1255
1256                    new ShiftOp.Shr() {
1257
1258                        @Override
1259                        public Constant foldConstant(Constant value, int amount) {
1260                            PrimitiveConstant c = (PrimitiveConstant) value;
1261                            switch (c.getJavaKind()) {
1262                                case Int:
1263                                    return JavaConstant.forInt(c.asInt() >> amount);
1264                                case Long:
1265                                    return JavaConstant.forLong(c.asLong() >> amount);
1266                                default:
1267                                    throw GraalError.shouldNotReachHere();
1268                            }
1269                        }
1270
1271                        @Override
1272                        public Stamp foldStamp(Stamp stamp, IntegerStamp shift) {
1273                            IntegerStamp value = (IntegerStamp) stamp;
1274                            int bits = value.getBits();
1275                            if (value.isEmpty()) {
1276                                return value;
1277                            } else if (shift.isEmpty()) {
1278                                return StampFactory.forInteger(bits).empty();
1279                            } else if (shift.lowerBound() == shift.upperBound()) {
1280                                long shiftCount = shift.lowerBound() & getShiftAmountMask(stamp);
1281                                if (shiftCount == 0) {
1282                                    return stamp;
1283                                }
1284
1285                                int extraBits = 64 - bits;
1286                                long defaultMask = CodeUtil.mask(bits);
1287                                // shifting back and forth performs sign extension
1288                                long downMask = (value.downMask() << extraBits) >> (shiftCount + extraBits) & defaultMask;
1289                                long upMask = (value.upMask() << extraBits) >> (shiftCount + extraBits) & defaultMask;
1290                                return new IntegerStamp(bits, value.lowerBound() >> shiftCount, value.upperBound() >> shiftCount, downMask, upMask);
1291                            }
1292                            long mask = IntegerStamp.upMaskFor(bits, value.lowerBound(), value.upperBound());
1293                            return IntegerStamp.stampForMask(bits, 0, mask);
1294                        }
1295
1296                        @Override
1297                        public int getShiftAmountMask(Stamp s) {
1298                            IntegerStamp stamp = (IntegerStamp) s;
1299                            assert CodeUtil.isPowerOf2(stamp.getBits());
1300                            return stamp.getBits() - 1;
1301                        }
1302                    },
1303
1304                    new ShiftOp.UShr() {
1305
1306                        @Override
1307                        public Constant foldConstant(Constant value, int amount) {
1308                            PrimitiveConstant c = (PrimitiveConstant) value;
1309                            switch (c.getJavaKind()) {
1310                                case Int:
1311                                    return JavaConstant.forInt(c.asInt() >>> amount);
1312                                case Long:
1313                                    return JavaConstant.forLong(c.asLong() >>> amount);
1314                                default:
1315                                    throw GraalError.shouldNotReachHere();
1316                            }
1317                        }
1318
1319                        @Override
1320                        public Stamp foldStamp(Stamp stamp, IntegerStamp shift) {
1321                            IntegerStamp value = (IntegerStamp) stamp;
1322                            int bits = value.getBits();
1323                            if (value.isEmpty()) {
1324                                return value;
1325                            } else if (shift.isEmpty()) {
1326                                return StampFactory.forInteger(bits).empty();
1327                            }
1328
1329                            if (shift.lowerBound() == shift.upperBound()) {
1330                                long shiftCount = shift.lowerBound() & getShiftAmountMask(stamp);
1331                                if (shiftCount == 0) {
1332                                    return stamp;
1333                                }
1334
1335                                long downMask = value.downMask() >>> shiftCount;
1336                                long upMask = value.upMask() >>> shiftCount;
1337                                if (value.lowerBound() < 0) {
1338                                    return new IntegerStamp(bits, downMask, upMask, downMask, upMask);
1339                                } else {
1340                                    return new IntegerStamp(bits, value.lowerBound() >>> shiftCount, value.upperBound() >>> shiftCount, downMask, upMask);
1341                                }
1342                            }
1343                            long mask = IntegerStamp.upMaskFor(bits, value.lowerBound(), value.upperBound());
1344                            return IntegerStamp.stampForMask(bits, 0, mask);
1345                        }
1346
1347                        @Override
1348                        public int getShiftAmountMask(Stamp s) {
1349                            IntegerStamp stamp = (IntegerStamp) s;
1350                            assert CodeUtil.isPowerOf2(stamp.getBits());
1351                            return stamp.getBits() - 1;
1352                        }
1353                    },
1354
1355                    new UnaryOp.Abs() {
1356
1357                        @Override
1358                        public Constant foldConstant(Constant value) {
1359                            PrimitiveConstant c = (PrimitiveConstant) value;
1360                            return JavaConstant.forIntegerKind(c.getJavaKind(), Math.abs(c.asLong()));
1361                        }
1362
1363                        @Override
1364                        public Stamp foldStamp(Stamp input) {
1365                            IntegerStamp stamp = (IntegerStamp) input;
1366                            int bits = stamp.getBits();
1367                            if (stamp.lowerBound() == CodeUtil.minValue(bits)) {
1368                                return input.unrestricted();
1369                            } else {
1370                                long limit = Math.max(-stamp.lowerBound(), stamp.upperBound());
1371                                return StampFactory.forInteger(bits, 0, limit);
1372                            }
1373                        }
1374                    },
1375
1376                    null,
1377
1378                    new IntegerConvertOp.ZeroExtend() {
1379
1380                        @Override
1381                        public Constant foldConstant(int inputBits, int resultBits, Constant c) {
1382                            PrimitiveConstant value = (PrimitiveConstant) c;
1383                            return JavaConstant.forPrimitiveInt(resultBits, CodeUtil.zeroExtend(value.asLong(), inputBits));
1384                        }
1385
1386                        @Override
1387                        public Stamp foldStamp(int inputBits, int resultBits, Stamp input) {
1388                            IntegerStamp stamp = (IntegerStamp) input;
1389                            assert inputBits == stamp.getBits();
1390                            assert inputBits <= resultBits;
1391
1392                            if (inputBits == resultBits) {
1393                                return input;
1394                            }
1395
1396                            if (input.isEmpty()) {
1397                                return StampFactory.forInteger(resultBits).empty();
1398                            }
1399
1400                            long downMask = CodeUtil.zeroExtend(stamp.downMask(), inputBits);
1401                            long upMask = CodeUtil.zeroExtend(stamp.upMask(), inputBits);
1402                            long lowerBound = stamp.unsignedLowerBound();
1403                            long upperBound = stamp.unsignedUpperBound();
1404                            return IntegerStamp.create(resultBits, lowerBound, upperBound, downMask, upMask);
1405                        }
1406
1407                        @Override
1408                        public Stamp invertStamp(int inputBits, int resultBits, Stamp outStamp) {
1409                            IntegerStamp stamp = (IntegerStamp) outStamp;
1410                            if (stamp.isEmpty()) {
1411                                return StampFactory.forInteger(inputBits).empty();
1412                            }
1413                            return StampFactory.forUnsignedInteger(inputBits, stamp.lowerBound(), stamp.upperBound(), stamp.downMask(), stamp.upMask());
1414                        }
1415                    },
1416
1417                    new IntegerConvertOp.SignExtend() {
1418
1419                        @Override
1420                        public Constant foldConstant(int inputBits, int resultBits, Constant c) {
1421                            PrimitiveConstant value = (PrimitiveConstant) c;
1422                            return JavaConstant.forPrimitiveInt(resultBits, CodeUtil.signExtend(value.asLong(), inputBits));
1423                        }
1424
1425                        @Override
1426                        public Stamp foldStamp(int inputBits, int resultBits, Stamp input) {
1427                            IntegerStamp stamp = (IntegerStamp) input;
1428                            assert inputBits == stamp.getBits();
1429                            assert inputBits <= resultBits;
1430
1431                            long defaultMask = CodeUtil.mask(resultBits);
1432                            long downMask = CodeUtil.signExtend(stamp.downMask(), inputBits) & defaultMask;
1433                            long upMask = CodeUtil.signExtend(stamp.upMask(), inputBits) & defaultMask;
1434
1435                            return new IntegerStamp(resultBits, stamp.lowerBound(), stamp.upperBound(), downMask, upMask);
1436                        }
1437
1438                        @Override
1439                        public Stamp invertStamp(int inputBits, int resultBits, Stamp outStamp) {
1440                            IntegerStamp stamp = (IntegerStamp) outStamp;
1441                            long mask = CodeUtil.mask(inputBits);
1442                            return StampFactory.forIntegerWithMask(inputBits, stamp.lowerBound(), stamp.upperBound(), stamp.downMask() & mask, stamp.upMask() & mask);
1443                        }
1444                    },
1445
1446                    new IntegerConvertOp.Narrow() {
1447
1448                        @Override
1449                        public Constant foldConstant(int inputBits, int resultBits, Constant c) {
1450                            PrimitiveConstant value = (PrimitiveConstant) c;
1451                            return JavaConstant.forPrimitiveInt(resultBits, CodeUtil.narrow(value.asLong(), resultBits));
1452                        }
1453
1454                        @Override
1455                        public Stamp foldStamp(int inputBits, int resultBits, Stamp input) {
1456                            IntegerStamp stamp = (IntegerStamp) input;
1457                            assert inputBits == stamp.getBits();
1458                            assert resultBits <= inputBits;
1459                            if (resultBits == inputBits) {
1460                                return stamp;
1461                            }
1462
1463                            final long upperBound;
1464                            if (stamp.lowerBound() < CodeUtil.minValue(resultBits)) {
1465                                upperBound = CodeUtil.maxValue(resultBits);
1466                            } else {
1467                                upperBound = saturate(stamp.upperBound(), resultBits);
1468                            }
1469                            final long lowerBound;
1470                            if (stamp.upperBound() > CodeUtil.maxValue(resultBits)) {
1471                                lowerBound = CodeUtil.minValue(resultBits);
1472                            } else {
1473                                lowerBound = saturate(stamp.lowerBound(), resultBits);
1474                            }
1475
1476                            long defaultMask = CodeUtil.mask(resultBits);
1477                            long newDownMask = stamp.downMask() & defaultMask;
1478                            long newUpMask = stamp.upMask() & defaultMask;
1479                            long newLowerBound = CodeUtil.signExtend((lowerBound | newDownMask) & newUpMask, resultBits);
1480                            long newUpperBound = CodeUtil.signExtend((upperBound | newDownMask) & newUpMask, resultBits);
1481                            return new IntegerStamp(resultBits, newLowerBound, newUpperBound, newDownMask, newUpMask);
1482                        }
1483                    },
1484
1485                    new FloatConvertOp(I2F) {
1486
1487                        @Override
1488                        public Constant foldConstant(Constant c) {
1489                            PrimitiveConstant value = (PrimitiveConstant) c;
1490                            return JavaConstant.forFloat(value.asInt());
1491                        }
1492
1493                        @Override
1494                        public Stamp foldStamp(Stamp input) {
1495                            IntegerStamp stamp = (IntegerStamp) input;
1496                            assert stamp.getBits() == 32;
1497                            float lowerBound = stamp.lowerBound();
1498                            float upperBound = stamp.upperBound();
1499                            return StampFactory.forFloat(JavaKind.Float, lowerBound, upperBound, true);
1500                        }
1501                    },
1502
1503                    new FloatConvertOp(L2F) {
1504
1505                        @Override
1506                        public Constant foldConstant(Constant c) {
1507                            PrimitiveConstant value = (PrimitiveConstant) c;
1508                            return JavaConstant.forFloat(value.asLong());
1509                        }
1510
1511                        @Override
1512                        public Stamp foldStamp(Stamp input) {
1513                            IntegerStamp stamp = (IntegerStamp) input;
1514                            assert stamp.getBits() == 64;
1515                            float lowerBound = stamp.lowerBound();
1516                            float upperBound = stamp.upperBound();
1517                            return StampFactory.forFloat(JavaKind.Float, lowerBound, upperBound, true);
1518                        }
1519                    },
1520
1521                    new FloatConvertOp(I2D) {
1522
1523                        @Override
1524                        public Constant foldConstant(Constant c) {
1525                            PrimitiveConstant value = (PrimitiveConstant) c;
1526                            return JavaConstant.forDouble(value.asInt());
1527                        }
1528
1529                        @Override
1530                        public Stamp foldStamp(Stamp input) {
1531                            IntegerStamp stamp = (IntegerStamp) input;
1532                            assert stamp.getBits() == 32;
1533                            double lowerBound = stamp.lowerBound();
1534                            double upperBound = stamp.upperBound();
1535                            return StampFactory.forFloat(JavaKind.Double, lowerBound, upperBound, true);
1536                        }
1537                    },
1538
1539                    new FloatConvertOp(L2D) {
1540
1541                        @Override
1542                        public Constant foldConstant(Constant c) {
1543                            PrimitiveConstant value = (PrimitiveConstant) c;
1544                            return JavaConstant.forDouble(value.asLong());
1545                        }
1546
1547                        @Override
1548                        public Stamp foldStamp(Stamp input) {
1549                            IntegerStamp stamp = (IntegerStamp) input;
1550                            assert stamp.getBits() == 64;
1551                            double lowerBound = stamp.lowerBound();
1552                            double upperBound = stamp.upperBound();
1553                            return StampFactory.forFloat(JavaKind.Double, lowerBound, upperBound, true);
1554                        }
1555                    });
1556}
1557