Package com.github.tommyettinger.random
Class PasarRandom
java.lang.Object
java.util.Random
com.github.tommyettinger.random.EnhancedRandom
com.github.tommyettinger.random.PasarRandom
- All Implemented Interfaces:
Externalizable
,Serializable
,RandomGenerator
Like WhiskerRandom, but this has a fifth state that runs like a counter, guaranteeing a minimum period of 2 to the
64.
A fast generator that has five longs of state, with a huge probable period and a good minimum period guarantee.
This generator is extremely similar to
The algorithm used here has five states just to exploit instruction-level parallelism; it isn't trying to extend the period of the generator beyond about 2 to the 64 (the guaranteed minimum, though most cycles will likely be much longer). There's a complex tangle of dependencies across the five states, but it is possible to invert the generator given a full 320-bit state; this is vital for its period and quality.
It is strongly recommended that you seed this with
This implements all optional methods in EnhancedRandom except
This is called PasarRandom because it acts like WhiskerRandom, but with a steady stepping of its counter. Pasar, if I remember high-school Spanish class well enough, means "to step" in Spanish.
WhiskerRandom
; in fact, they are identical if the changing extra state
is replaced with a specific constant. This can be considered stable; it has passed 179 petabytes of testing in
ReMortality and over 64 petabytes of BoolBin (another test that can run on huge amounts of generated data), plus 64TB
of broad-spectrum testing in PractRand (one "unusual" anomaly here, but nothing recurring or systemic). This
generator is slower than WhiskerRandom, but on-par with FourWheelRandom
, and unlike either of those, it
allows leaping through its state to guarantee a minimum distance between two generators.
The algorithm used here has five states just to exploit instruction-level parallelism; it isn't trying to extend the period of the generator beyond about 2 to the 64 (the guaranteed minimum, though most cycles will likely be much longer). There's a complex tangle of dependencies across the five states, but it is possible to invert the generator given a full 320-bit state; this is vital for its period and quality.
It is strongly recommended that you seed this with
setSeed(long)
instead of
setState(long, long, long, long, long)
, because if you give sequential seeds to both setSeed() and
setState(), the former will start off random, while the latter will start off with a correlation between the initial
a and c and the results. The correlation should go away very quickly, though, probably in fewer than 10 generated
numbers. Because this includes a counter in its stateD, the state as a whole can't get "stuck in zero-land" (a case
that plagues LFSR-style generators such as the Mersenne Twister and Xoshiro) for more than a few generations.
This implements all optional methods in EnhancedRandom except
EnhancedRandom.skip(long)
; it does implement
previousLong()
without using skip().
This is called PasarRandom because it acts like WhiskerRandom, but with a steady stepping of its counter. Pasar, if I remember high-school Spanish class well enough, means "to step" in Spanish.
- 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
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Field Summary
Modifier and TypeFieldDescriptionprotected long
The first state; can be any long.protected long
The second state; can be any long.protected long
The third state; can be any long.protected long
The fourth state; can be any long.protected long
The fifth state; can be any long. -
Constructor Summary
ConstructorDescriptionCreates a new PasarRandom with a random state.PasarRandom
(long seed) Creates a new PasarRandom with the given seed; alllong
values are permitted.PasarRandom
(long stateA, long stateB, long stateC, long stateD, long stateE) Creates a new PasarRandom with the given five states; alllong
values 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.boolean
long
getSelectedState
(int selection) Gets the state determined byselection
, as-is.long
long
long
int
This generator has 5long
states, so this returns 5.long
long
getTag()
Gets the tag used to identify this type of EnhancedRandom, as a String.long
leap()
Jumps extremely far in the generator's sequence, such that one call to leap() advances the state as many asMath.pow(2, 48)
calls tonextLong()
.int
next
(int bits) Generates the next pseudorandom number with a specific maximum size in bits (not a max number).long
nextLong()
Returns the next pseudorandom, uniformly distributedlong
value from this random number generator's sequence.long
Optional; moves the state to its previous value and returns the previous long that would have been produced byEnhancedRandom.nextLong()
.void
setSeed
(long seed) This initializes all 5 states of the generator to random values based on the given seed.void
setSelectedState
(int selection, long value) Sets one of the states, determined byselection
, tovalue
, as-is.void
setState
(long stateA, long stateB, long stateC, long stateD, long stateE) Sets the state completely to the given five state variables.void
setStateA
(long stateA) Sets the first part of the state.void
setStateB
(long stateB) Sets the second part of the state.void
setStateC
(long stateC) Sets the third part of the state.void
setStateD
(long stateD) Sets the fourth part of the state.void
setStateE
(long stateE) Sets the fifth part of the state.toString()
Methods inherited from class com.github.tommyettinger.random.EnhancedRandom
areEqual, fixGamma, maxDoubleOf, maxFloatOf, maxIntOf, maxLongOf, minDoubleOf, minFloatOf, minIntOf, minLongOf, nextBoolean, nextBoolean, nextBytes, nextDouble, nextDouble, nextDouble, nextExclusiveDouble, nextExclusiveDouble, nextExclusiveDouble, nextExclusiveDoubleEquidistant, nextExclusiveFloat, nextExclusiveFloat, nextExclusiveFloat, nextExclusiveFloatEquidistant, nextExclusiveSignedDouble, nextExclusiveSignedFloat, nextFloat, nextFloat, nextFloat, nextGaussian, nextGaussian, nextInclusiveDouble, nextInclusiveDouble, nextInclusiveDouble, nextInclusiveFloat, nextInclusiveFloat, nextInclusiveFloat, nextInt, nextInt, nextInt, nextLong, nextLong, nextSign, nextSignedInt, nextSignedInt, nextSignedLong, nextSignedLong, nextTriangular, nextTriangular, nextTriangular, nextTriangular, nextUnsignedInt, previousInt, probit, randomElement, randomElement, readExternal, seedFromMath, setState, setState, setState, setState, setState, setWith, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, shuffle, skip, stringDeserialize, stringDeserialize, stringSerialize, stringSerialize, writeExternal
Methods inherited from class java.util.Random
doubles, doubles, doubles, doubles, ints, ints, ints, ints, longs, longs, longs, longs
Methods inherited from class java.lang.Object
clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait
Methods inherited from interface java.util.random.RandomGenerator
isDeprecated, nextExponential
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Field Details
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stateA
protected long stateAThe first state; can be any long. -
stateB
protected long stateBThe second state; can be any long. -
stateC
protected long stateCThe third state; can be any long. -
stateD
protected long stateDThe fourth state; can be any long. This state is the counter, and it is not affected by the other states. -
stateE
protected long stateEThe fifth state; can be any long.
-
-
Constructor Details
-
PasarRandom
public PasarRandom()Creates a new PasarRandom with a random state. -
PasarRandom
public PasarRandom(long seed) Creates a new PasarRandom with the given seed; alllong
values are permitted. The seed will be passed tosetSeed(long)
to attempt to adequately distribute the seed randomly.- Parameters:
seed
- anylong
value
-
PasarRandom
public PasarRandom(long stateA, long stateB, long stateC, long stateD, long stateE) Creates a new PasarRandom with the given five states; alllong
values are permitted. These states will be used verbatim.- Parameters:
stateA
- anylong
valuestateB
- anylong
valuestateC
- anylong
valuestateD
- anylong
valuestateE
- anylong
value
-
-
Method Details
-
getTag
Description copied from class:EnhancedRandom
Gets 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:
getTag
in classEnhancedRandom
- Returns:
- a unique String identifier for this type of EnhancedRandom; usually 4 chars long.
-
getStateCount
public int getStateCount()This generator has 5long
states, so this returns 5.- Overrides:
getStateCount
in classEnhancedRandom
- Returns:
- 5 (five)
-
getSelectedState
public long getSelectedState(int selection) Gets the state determined byselection
, as-is. The value for selection should be between 0 and 4, inclusive; if it is any other value this gets state E as if 4 was given.- Overrides:
getSelectedState
in classEnhancedRandom
- Parameters:
selection
- used to select which state variable to get; generally 0, 1, 2, 3, or 4- Returns:
- the value of the selected state
-
setSelectedState
public void setSelectedState(int selection, long value) Sets one of the states, determined byselection
, tovalue
, as-is. Selections 0, 1, 2, 3, and 4 refer to states A, B, C, D, and E, and if the selection is anything else, this treats it as 4 and sets stateE.- Overrides:
setSelectedState
in classEnhancedRandom
- Parameters:
selection
- used to select which state variable to set; generally 0, 1, 2, 3, or 4value
- the exact value to use for the selected state, if valid
-
setSeed
public void setSeed(long seed) This initializes all 5 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:
setSeed
in classEnhancedRandom
- Parameters:
seed
- the initial seed; may be any long
-
getStateA
public long getStateA() -
setStateA
public void setStateA(long stateA) Sets the first part of the state.- Parameters:
stateA
- can be any long
-
getStateB
public long getStateB() -
setStateB
public void setStateB(long stateB) Sets the second part of the state.- Parameters:
stateB
- can be any long
-
getStateC
public long getStateC() -
setStateC
public void setStateC(long stateC) Sets the third part of the state.- Parameters:
stateC
- can be any long
-
getStateD
public long getStateD() -
setStateD
public void setStateD(long stateD) Sets the fourth part of the state. This state is the counter, and it is not affected by the other states.- Parameters:
stateD
- can be any long
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getStateE
public long getStateE() -
setStateE
public void setStateE(long stateE) Sets the fifth part of the state.- Parameters:
stateE
- can be any long
-
setState
public void setState(long stateA, long stateB, long stateC, long stateD, long stateE) Sets the state completely to the given five state variables. This is the same as callingsetStateA(long)
,setStateB(long)
,setStateC(long)
,setStateD(long)
, andsetStateE(long)
as a group.- Overrides:
setState
in classEnhancedRandom
- Parameters:
stateA
- the first state; can be any longstateB
- the second state; can be any longstateC
- the third state; can be any longstateD
- the fourth state; can be any longstateE
- the fifth state; can be any long
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nextLong
public long nextLong()Description copied from class:EnhancedRandom
Returns the next pseudorandom, uniformly distributedlong
value from this random number generator's sequence. The general contract ofnextLong
is that onelong
value 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:
nextLong
in interfaceRandomGenerator
- Specified by:
nextLong
in classEnhancedRandom
- Returns:
- the next pseudorandom, uniformly distributed
long
value from this random number generator's sequence
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previousLong
public long previousLong()Description copied from class:EnhancedRandom
Optional; 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 generateint
results typically producelong
values 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 producelong
values usually don't need to implementEnhancedRandom.previousInt()
, but those that produceint
usually 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:
previousLong
in classEnhancedRandom
- Returns:
- the previous number this would have produced with
EnhancedRandom.nextLong()
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next
public int next(int bits) Description copied from class:EnhancedRandom
Generates 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 useEnhancedRandom.nextInt(int)
instead. For some specific cases, this method is more efficient and less biased thanEnhancedRandom.nextInt(int)
. Forbits
values 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. Ifbits
is 31, this can return any non-negativeint
; note thatnextInt(1 << 31)
won't behave this way because1 << 31
is negative. Ifbits
is 32 (or 0), this can return anyint
.The general contract of
next
is that it returns anint
value and if the argumentbits
is between1
and32
(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 be0
or1
.Note that you can give this values for
bits
that 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:
next
in classEnhancedRandom
- 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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copy
Description copied from class:EnhancedRandom
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. 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:
copy
in classEnhancedRandom
- Returns:
- a deep copy of this EnhancedRandom.
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leap
public long leap()Jumps extremely far in the generator's sequence, such that one call to leap() advances the state as many asMath.pow(2, 48)
calls tonextLong()
. This can be used to create 65536 substreams of this generator's sequence, each with a period of at leastMath.pow(2, 48)
but likely much more.- Returns:
- the result of what nextLong() would return if it was called at the state this jumped to
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equals
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toString
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