Package com.github.tommyettinger.random
Class Chip32Random
java.lang.Object
java.util.Random
com.github.tommyettinger.random.EnhancedRandom
com.github.tommyettinger.random.Enhanced32Random
com.github.tommyettinger.random.Chip32Random
- All Implemented Interfaces:
Externalizable,Serializable,RandomGenerator
A random number generator that is optimized for performance on 32-bit machines and with Google Web Toolkit.
This uses only add, (fixed-distance) bitwise-rotate, and XOR operations for
Chip32Random has a guaranteed minimum period of 2 to the 32, and is very likely to have a much longer period for almost all initial states. There are expected to be several (double-digit) relatively long sub-cycles that most states will be within, and relatively few sub-cycles nearing the smallest possible size (2 to the 32, or over 4 billion).
The algorithm used here has four states purely to exploit instruction-level parallelism; one state is a counter (this gives the guaranteed minimum period of 2 to the 32), and the others combine the values of the four states across three variables. It is possible to invert the generator given a full 128-bit state; this is vital for its period and quality. This generator can probably have its full state determined from sufficient outputs; one output is sufficient to get the exact value of stateA that went into producing that output.
This passes 64TB of PractRand testing with no anomalies, and also passes Juniper's InitialCorrelationTest (ICE test). It fails Juniper's ImmediateInitialCorrelationEvaluator test, which just checks if an RNG is also usable as a hash function on its earliest outputs. Chip32Random appears to have fully uncorrelated output after generating about 16 to 20 ints.
This implements all optional methods in EnhancedRandom except
nextInt() and
nextLong(). On GWT, this is super-sourced so it uses variable = variable + constant | 0; in order to
force additions to counters on GWT to actually overflow as they do (and should) on desktop JVMs. The bitwise OR
operator is only used as part of bitwise rotations on desktop and other non-GWT platforms, and HotSpot can almost
always compile the bitwise rotation code used here from <<, |, and >>> into a single
processor instruction.
Chip32Random has a guaranteed minimum period of 2 to the 32, and is very likely to have a much longer period for almost all initial states. There are expected to be several (double-digit) relatively long sub-cycles that most states will be within, and relatively few sub-cycles nearing the smallest possible size (2 to the 32, or over 4 billion).
The algorithm used here has four states purely to exploit instruction-level parallelism; one state is a counter (this gives the guaranteed minimum period of 2 to the 32), and the others combine the values of the four states across three variables. It is possible to invert the generator given a full 128-bit state; this is vital for its period and quality. This generator can probably have its full state determined from sufficient outputs; one output is sufficient to get the exact value of stateA that went into producing that output.
This passes 64TB of PractRand testing with no anomalies, and also passes Juniper's InitialCorrelationTest (ICE test). It fails Juniper's ImmediateInitialCorrelationEvaluator test, which just checks if an RNG is also usable as a hash function on its earliest outputs. Chip32Random appears to have fully uncorrelated output after generating about 16 to 20 ints.
This implements all optional methods in EnhancedRandom except
EnhancedRandom.skip(long); it does implement
previousLong() and previousInt() without using skip(). This has been optimized as a 32-bit
generator, so it calls nextInt() internally when it can avoid calling nextLong().
There is also a GWT-specialized version using super-sourcing (so that version is only used on GWT).- See Also:
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Nested Class Summary
Nested classes/interfaces inherited from interface java.util.random.RandomGenerator
RandomGenerator.ArbitrarilyJumpableGenerator, RandomGenerator.JumpableGenerator, RandomGenerator.LeapableGenerator, RandomGenerator.SplittableGenerator, RandomGenerator.StreamableGenerator -
Field Summary
Fields -
Constructor Summary
ConstructorsConstructorDescriptionCreates a new Chip32Random with a random state.Chip32Random(int seed) Creates a new Chip32Random with the given seed; alllongvalues are permitted.Chip32Random(int stateA, int stateB, int stateC, int stateD) Creates a new Chip32Random with the given four states; allintvalues are permitted.Chip32Random(long seed) Creates a new Chip32Random with the given seed; alllongvalues are permitted. -
Method Summary
Modifier and TypeMethodDescriptioncopy()Creates a new EnhancedRandom with identical states to this one, so if the same EnhancedRandom methods are called on this object and its copy (in the same order), the same outputs will be produced.boolean2 to the 32.longgetSelectedState(int selection) Gets the state determined byselection, as-is.intintintintThis generator has 4intstates, so this returns 4.intgetTag()Gets the tag used to identify this type of EnhancedRandom, as a String.booleanThis generator mainly generates int values.intnext(int bits) Generates the next pseudorandom number with a specific maximum size in bits (not a max number).intnextInt()Returns the next pseudorandom, uniformly distributedintvalue from this random number generator's sequence.longnextLong()Returns the next pseudorandom, uniformly distributedlongvalue from this random number generator's sequence.intOptional; moves the state to its previous value and returns the previous int that would have been produced byEnhancedRandom.nextInt().longOptional; moves the state to its previous value and returns the previous long that would have been produced byEnhancedRandom.nextLong().voidsetSeed(int seed) This initializes all 4 states of the generator to random values based on the given seed.voidsetSeed(long seed) This initializes all 4 states of the generator to random values based on the given seed.voidsetSelectedState(int selection, long value) Sets one of the states, determined byselection, to the lower 32 bits ofvalue, as-is.voidsetState(int stateA, int stateB, int stateC, int stateD) Like the superclass methodsetState(long, long, long, long), but takes four int values instead of long.voidsetState(long stateA, long stateB, long stateC, long stateD) Sets the state completely to the given four state variables, casting each to an int.voidsetStateA(int stateA) Sets the first part of the state to the given int.voidsetStateB(int stateB) Sets the second part of the state to the given int.voidsetStateC(int stateC) Sets the third part of the state to the given int.voidsetStateD(int stateD) Sets the fourth part of the state to the given int.toString()Methods inherited from class com.github.tommyettinger.random.Enhanced32Random
maxDoubleOf, maxFloatOf, maxIntOf, maxLongOf, minDoubleOf, minFloatOf, minIntOf, minLongOf, nextBoolean, nextBoolean, nextBytes, nextDouble, nextDouble, nextDouble, nextExclusiveDouble, nextExclusiveDouble, nextExclusiveDouble, nextExclusiveDoubleEquidistant, nextExclusiveFloat, nextExclusiveFloat, nextExclusiveFloat, nextExclusiveFloatEquidistant, nextExclusiveSignedDouble, nextExclusiveSignedFloat, nextExponential, nextFloat, nextFloat, nextFloat, nextGaussian, nextGaussian, nextGaussianFloat, nextGaussianFloat, nextInclusiveDouble, nextInclusiveDouble, nextInclusiveDouble, nextInclusiveFloat, nextInclusiveFloat, nextInclusiveFloat, nextInt, nextInt, nextLong, nextLong, nextSign, nextSignedInt, nextSignedInt, nextSignedLong, nextSignedLong, nextTriangular, nextTriangular, nextTriangular, nextTriangular, nextUnsignedInt, randomElement, randomElement, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffleMethods inherited from class com.github.tommyettinger.random.EnhancedRandom
appendSerialized, appendSerialized, areEqual, fixGamma, fixGamma, lcm, probit, processSignedInt32, processUnsignedInt32, rateGamma, readExternal, seedFromMath, setState, setState, setState, setState, setState, setState, setWith, skip, stringDeserialize, stringDeserialize, stringSerialize, stringSerialize, writeExternalMethods inherited from class java.util.Random
doubles, doubles, doubles, doubles, from, ints, ints, ints, ints, longs, longs, longs, longsMethods inherited from class java.lang.Object
clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, waitMethods inherited from interface java.util.random.RandomGenerator
isDeprecated
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Field Details
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stateA
protected int stateAThe first state; can be any int. -
stateB
protected int stateBThe second state; can be any int. -
stateC
protected int stateCThe third state; can be any int. -
stateD
protected int stateDThe fourth state; can be any int.
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Constructor Details
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Chip32Random
public Chip32Random()Creates a new Chip32Random with a random state. -
Chip32Random
public Chip32Random(long seed) Creates a new Chip32Random with the given seed; alllongvalues are permitted. The seed will be passed tosetSeed(long)to attempt to adequately distribute the seed randomly.- Parameters:
seed- anylongvalue
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Chip32Random
public Chip32Random(int seed) Creates a new Chip32Random with the given seed; alllongvalues are permitted. The seed will be passed tosetSeed(int)to attempt to adequately distribute the seed randomly.- Parameters:
seed- anylongvalue
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Chip32Random
public Chip32Random(int stateA, int stateB, int stateC, int stateD) Creates a new Chip32Random with the given four states; allintvalues are permitted. These states will be used verbatim.- Parameters:
stateA- anyintvaluestateB- anyintvaluestateC- anyintvaluestateD- anyintvalue
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Method Details
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getTag
Description copied from class:EnhancedRandomGets the tag used to identify this type of EnhancedRandom, as a String. This tag should be unique, and for uniformity purposes, all tags used in this library are 4 characters long. User-defined tags should have a different length.- Specified by:
getTagin classEnhancedRandom- Returns:
- a unique String identifier for this type of EnhancedRandom; usually 4 chars long.
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getMinimumPeriod
2 to the 32.- Overrides:
getMinimumPeriodin classEnhancedRandom- Returns:
- 2 to the 32
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getStateCount
public int getStateCount()This generator has 4intstates, so this returns 4.- Overrides:
getStateCountin classEnhancedRandom- Returns:
- 4 (four)
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mainlyGeneratesInt
public boolean mainlyGeneratesInt()This generator mainly generates int values.- Overrides:
mainlyGeneratesIntin classEnhanced32Random- Returns:
- true
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getSelectedState
public long getSelectedState(int selection) Gets the state determined byselection, as-is. The value for selection should be between 0 and 3, inclusive; if it is any other value this gets state D as if 3 was given.- Overrides:
getSelectedStatein classEnhancedRandom- Parameters:
selection- used to select which state variable to get; generally 0, 1, 2, or 3- Returns:
- the value of the selected state, which is an int that will be promoted to long
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setSelectedState
public void setSelectedState(int selection, long value) Sets one of the states, determined byselection, to the lower 32 bits ofvalue, as-is. Selections 0, 1, 2, and 3 refer to states A, B, C, and D, and if the selection is anything else, this treats it as 3 and sets stateD. This always castsvalueto an int before using it.- Overrides:
setSelectedStatein classEnhancedRandom- Parameters:
selection- used to select which state variable to set; generally 0, 1, 2, or 3value- the exact value to use for the selected state, if valid
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setSeed
public void setSeed(long seed) This initializes all 4 states of the generator to random values based on the given seed. (2 to the 64) possible initial generator states can be produced here.- Specified by:
setSeedin classEnhancedRandom- Parameters:
seed- the initial seed; may be any long
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setSeed
public void setSeed(int seed) This initializes all 4 states of the generator to random values based on the given seed. (2 to the 32) possible initial generator states can be produced here.- Parameters:
seed- the initial seed; may be any int
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getStateA
public int getStateA() -
setStateA
public void setStateA(int stateA) Sets the first part of the state to the given int.- Parameters:
stateA- can be any int
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getStateB
public int getStateB() -
setStateB
public void setStateB(int stateB) Sets the second part of the state to the given int.- Parameters:
stateB- can be any int
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getStateC
public int getStateC() -
setStateC
public void setStateC(int stateC) Sets the third part of the state to the given int.- Parameters:
stateC- can be any int
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getStateD
public int getStateD() -
setStateD
public void setStateD(int stateD) Sets the fourth part of the state to the given int.- Parameters:
stateD- can be any int
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setState
public void setState(long stateA, long stateB, long stateC, long stateD) Sets the state completely to the given four state variables, casting each to an int. This is the same as callingsetStateA(int),setStateB(int),setStateC(int), andsetStateD(int)as a group.- Overrides:
setStatein classEnhancedRandom- Parameters:
stateA- the first state; can be any long, but will be cast to an int before usestateB- the second state; can be any long, but will be cast to an int before usestateC- the third state; can be any long, but will be cast to an int before usestateD- the fourth state; can be any long, but will be cast to an int before use
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setState
public void setState(int stateA, int stateB, int stateC, int stateD) Like the superclass methodsetState(long, long, long, long), but takes four int values instead of long. This can avoid creating longs on JS-targeting platforms, which tends to be quite slow.- Parameters:
stateA- the first state; can be any intstateB- the second state; can be any intstateC- the third state; can be any intstateD- the fourth state; can be any int
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nextLong
public long nextLong()Description copied from class:Enhanced32RandomReturns the next pseudorandom, uniformly distributedlongvalue from this random number generator's sequence. The general contract ofnextLongis that onelongvalue is pseudorandomly generated and returned.
The only methods that need to be implemented by this interface are this andEnhancedRandom.copy(), though other methods can be implemented as appropriate for generators that, for instance, natively produce ints rather than longs.- Specified by:
nextLongin interfaceRandomGenerator- Overrides:
nextLongin classEnhanced32Random- Returns:
- the next pseudorandom, uniformly distributed
longvalue from this random number generator's sequence
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previousLong
public long previousLong()Description copied from class:EnhancedRandomOptional; moves the state to its previous value and returns the previous long that would have been produced byEnhancedRandom.nextLong(). This can be equivalent to callingEnhancedRandom.skip(long)with -1L, but not always; many generators can't efficiently skip long distances, but can step back by one value.
Generators that natively generateintresults typically producelongvalues by generating an int for the high 32 bits and an int for the low 32 bits. When producing the previous long, the order the high and low bits are generated, such as byEnhancedRandom.previousInt(), should be reversed. Generators that natively producelongvalues usually don't need to implementEnhancedRandom.previousInt(), but those that produceintusually should implement it, and may optionally call previousInt() twice in this method.
If you know how to implement the reverse of a particular random number generator, it is recommended you do so here, rather than rely on skip(). This isn't always easy, but should always be possible for any decent PRNG (some historical PRNGs, such as the Middle-Square PRNG, cannot be reversed at all). If a generator cannot be reversed because multiple initial states can transition to the same subsequent state, it is known to have statistical problems that are not necessarily present in a generator that matches one initial state to one subsequent state.
The public implementation callsEnhancedRandom.skip(long)with -1L, and if skip() has not been implemented differently, then it will throw an UnsupportedOperationException.- Overrides:
previousLongin classEnhancedRandom- Returns:
- the previous number this would have produced with
EnhancedRandom.nextLong()
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previousInt
public int previousInt()Description copied from class:EnhancedRandomOptional; moves the state to its previous value and returns the previous int that would have been produced byEnhancedRandom.nextInt(). This can be equivalent to callingEnhancedRandom.previousLong()and casting to int, but not always; generators that natively generateintresults typically move the state once in nextInt() and twice in nextLong(), and should move the state back once here.
IfEnhancedRandom.nextInt()is implemented using a call toEnhancedRandom.nextLong(), the implementation in this class is almost always sufficient and correct. If nextInt() changes state differently from nextLong(), then this should be implemented, if feasible, andEnhancedRandom.previousLong()can be implemented using this method. If you know how to implement the reverse of a particular random number generator, it is recommended you do so here, rather than rely on skip(). This isn't always easy, but should always be possible for any decent PRNG (some historical PRNGs, such as the Middle-Square PRNG, cannot be reversed at all). If a generator cannot be reversed because multiple initial states can transition to the same subsequent state, it is known to have statistical problems that are not necessarily present in a generator that matches one initial state to one subsequent state.
The public implementation callsEnhancedRandom.previousLong()and casts it to int, and if previousLong() and skip() have not been implemented differently, then it will throw an UnsupportedOperationException.- Overrides:
previousIntin classEnhancedRandom- Returns:
- the previous number this would have produced with
EnhancedRandom.nextInt()
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next
public int next(int bits) Description copied from class:Enhanced32RandomGenerates the next pseudorandom number with a specific maximum size in bits (not a max number). If you want to get a random number in a range, you should usually useEnhanced32Random.nextInt(int)instead. For some specific cases, this method is more efficient and less biased thanEnhanced32Random.nextInt(int). Forbitsvalues between 1 and 30, this should be similar in effect tonextInt(1 << bits); though it won't typically produce the same values, they will have the correct range. Ifbitsis 31, this can return any non-negativeint; note thatnextInt(1 << 31)won't behave this way because1 << 31is negative. Ifbitsis 32 (or 0), this can return anyint.The general contract of
nextis that it returns anintvalue and if the argumentbitsis between1and32(inclusive), then that many low-order bits of the returned value will be (approximately) independently chosen bit values, each of which is (approximately) equally likely to be0or1.Note that you can give this values for
bitsthat are outside its expected range of 1 to 32, but the value used, as long as bits is positive, will effectively bebits % 32. As stated before, a value of 0 for bits is the same as a value of 32.- Overrides:
nextin classEnhanced32Random- Parameters:
bits- the amount of random bits to request, from 1 to 32- Returns:
- the next pseudorandom value from this random number generator's sequence
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nextInt
public int nextInt()Description copied from class:Enhanced32RandomReturns the next pseudorandom, uniformly distributedintvalue from this random number generator's sequence. The general contract ofnextIntis that oneintvalue is pseudorandomly generated and returned. All 232 possibleintvalues are produced with (approximately) equal probability.
In Enhanced32Random, this throws an UnsupportedOperationException because the concrete subclass must implement this.- Specified by:
nextIntin interfaceRandomGenerator- Overrides:
nextIntin classEnhanced32Random- Returns:
- the next pseudorandom, uniformly distributed
intvalue from this random number generator's sequence
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copy
Description copied from class:EnhancedRandomCreates a new EnhancedRandom with identical states to this one, so if the same EnhancedRandom methods are called on this object and its copy (in the same order), the same outputs will be produced. This is not guaranteed to copy the inherited state of any parent class, so if you call methods that are only implemented by a superclass (likeRandom) and not this one, the results may differ.- Specified by:
copyin classEnhancedRandom- Returns:
- a deep copy of this EnhancedRandom.
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equals
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toString
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