Package org.jacop.core
Class IntDomain
- java.lang.Object
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- org.jacop.core.Domain
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- org.jacop.core.IntDomain
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- Direct Known Subclasses:
BoundDomain
,IntervalDomain
,SmallDenseDomain
public abstract class IntDomain extends Domain
Defines an integer domain and related operations on it.IntDomain implementations can not assume that arguments to any function can not be empty domains.
- Version:
- 4.7
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Field Summary
Fields Modifier and Type Field Description static int
ANY
It specifies the constant for ANY event.static int
BOUND
It specifies the constant for BOUND event.static int
BoundDomainID
Unique identifier for a bound domain type.static IntDomain
emptyIntDomain
It specifies an empty integer domain.(package private) static int[][]
eventsInclusion
It specifies for each event what other events are subsumed by this event.private static java.util.Random
generator
static int
GROUND
It specifies the constant for GROUND event.static int
IntervalDomainID
Unique identifier for an interval domain type.static int
MaxInt
It specifies the maximum element in the domain.static int
MinInt
It specifies the minimum element in the domain.IntDomain
previousDomain
It specifies the previous domain which was used by this domain.static int
SmallDenseDomainID
Unique identifier for a small dense domain type.-
Fields inherited from class org.jacop.core.Domain
failException, modelConstraints, modelConstraintsToEvaluate, NOINFO, NONE, searchConstraints, searchConstraintsCloned, searchConstraintsToEvaluate, stamp
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Constructor Summary
Constructors Constructor Description IntDomain()
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Method Summary
All Methods Static Methods Instance Methods Abstract Methods Concrete Methods Modifier and Type Method Description void
addDom(IntDomain domain)
It adds values as specified by the parameter to the domain.static int
addInt(int x, int y)
Returns the sum of its arguments, if the result overflows MaxInt or MinInt is returned.abstract IntDomain
cloneLight()
It clones the domain object, only data responsible for encoding domain values is cloned.abstract IntDomain
complement()
It creates a complement of a domain.boolean
contains(int value)
It checks if value belongs to the domain.abstract boolean
contains(int min, int max)
It checks if an interval min..max belongs to the domain.boolean
contains(IntDomain domain)
It specifies if the current domain contains the domain given as a parameter.static Interval
divBounds(int a, int b, int c, int d)
static Interval
divIntBounds(int a, int b, int c, int d)
int
elementsSmallerThan(int el)
It returns the number of elements smaller than el.boolean
eq(IntDomain domain)
It specifies if the other int domain is equal to this one.abstract int
getElementAt(int index)
It access the element at the specified position.int[]
getEventsInclusion(int pruningEvent)
It helps to specify what events should be executed if a given event occurs.abstract Interval
getInterval(int position)
It returns required interval.abstract IntDomain
getPreviousDomain()
It returns domain at earlier level at which the change has occurred.int
getRandomValue()
It returns a random value from the domain.abstract int
getSize()
It returns the size of the domain.abstract void
in(int storeLevel, Var var, int min, int max)
It updates the domain to have values only within the interval min..max.void
in(int level, Var var, Domain domain)
It enforces that this domain is included within the specified domain.void
in(int storeLevel, Var var, IntDomain domain)
It updates the domain to have values only within the domain.void
inComplement(int storeLevel, Var var, int complement)
It updates the domain to not contain the value complement.abstract void
inComplement(int storeLevel, Var var, int min, int max)
It updates the domain so it does not contain the supplied interval.void
inMax(int storeLevel, Var var, int max)
It updates the domain according to the maximum value and stamp value.void
inMin(int storeLevel, Var var, int min)
It updates the domain according to the minimum value and stamp value.abstract void
inShift(int storeLevel, Var var, IntDomain domain, int shift)
It updates the domain to contain the elements as specifed by the domain, which is shifted.abstract IntDomain
intersect(int min, int max)
In intersects current domain with the interval min..max.abstract IntDomain
intersect(IntDomain dom)
It intersects current domain with the one given as a parameter.abstract int
intersectAdapt(int min, int max)
It computes an intersection of this domain with an interval [min..max].abstract int
intersectAdapt(IntDomain intersect)
It computes an intersection with a given domain and stores it in this domain.abstract IntervalEnumeration
intervalEnumeration()
It returns interval enumeration of the domain values.void
inValue(int level, IntVar var, int value)
It reduces domain to a single value.abstract boolean
isIntersecting(int min, int max)
It checks if interval min..max intersects with current domain.boolean
isIntersecting(IntDomain domain)
Checks if two domains intersect.int
leftElement(int intervalNo)
It returns the left most element of the given interval.int
lex(IntDomain domain)
Returns the lexical ordering between the setsabstract int
max()
It returns the maximum value in a domain.abstract int
min()
It returns the minimum value in a domain.static Interval
mulBounds(int a, int b, int c, int d)
static int
multiplyInt(int x, int y)
Returns the product of the arguments, if the result overflows MaxInt or MinInt is returned.abstract int
nextValue(int value)
It gives next value in the domain from the given one (lexigraphical ordering).int
noConstraints()
It returns the number of constraintsabstract int
noIntervals()
It returns number of intervals required to represent this domain.abstract int
previousValue(int value)
It gives previous value in the domain from the given one (lexigraphical ordering).void
putModelConstraint(int storeLevel, Var var, Constraint C, int pruningEvent)
It adds a constraint to a domain, it should only be called by putConstraint function of Variable object.void
putSearchConstraint(int storeLevel, Var var, Constraint C)
It adds a constraint to a domain, it should only be called by putConstraint function of Variable object.abstract IntDomain
recentDomainPruning(int currentStoreLevel)
It returns the values which have been removed at current store level.void
removeModelConstraint(int storeLevel, Var var, Constraint C)
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object.void
removeSearchConstraint(int storeLevel, Var var, int position, Constraint C)
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object.void
removeSearchConstraint(int storeLevel, Var var, Constraint C)
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object.int
rightElement(int intervalNo)
It returns the right most element of the given interval.abstract void
setDomain(int min, int max)
It sets this domain to contain exactly all values between min and max.abstract void
setDomain(IntDomain domain)
It sets the domain to the specified domain.boolean
singleton(int c)
It returns true if given domain has only one element equal c.boolean
singleton(Domain value)
It returns true if given domain has only one element.int
sizeOfIntersection(IntDomain domain)
It computes the size of the intersection between this domain and the domain supplied as a parameter.static Interval
squareBounds(int a, int b)
IntDomain
subtract(int value)
It intersects with the domain which is a complement of value.abstract IntDomain
subtract(int min, int max)
It subtracts interval min..max.IntDomain
subtract(IntDomain domain)
It subtracts domain from current domain and returns the result.abstract void
subtractAdapt(int value)
It removes value from the domain.abstract void
subtractAdapt(int min, int max)
It removes all values between min and max to the domain.static int
subtractInt(int x, int y)
Returns the difference of the arguments, if the result overflows MaxInt or MinInt is returned.int[]
toIntArray()
It constructs and int array containing all elements in the domain.IntDomain
union(int value)
It computes union of this domain and value.IntDomain
union(int min, int max)
It computes union of this domain and the interval.IntDomain
union(IntDomain domain)
It computes union of the supplied domain with this domain.void
unionAdapt(int value)
It adds a values to the domain.abstract void
unionAdapt(int min, int max)
It adds all values between min and max to the domain.int
unionAdapt(IntDomain union)
It computes a union between this domain and the domain provided as a parameter.void
unionAdapt(Interval i)
It adds interval of values to the domain.int
value()
It returns the value to which this domain is grounded.abstract ValueEnumeration
valueEnumeration()
It returns value enumeration of the domain values.-
Methods inherited from class org.jacop.core.Domain
checkInvariants, clear, clone, constraints, domainID, isEmpty, isNumeric, isSparseRepresentation, noSearchConstraints, removeLevel, searchConstraints, setStamp, singleton, sizeConstraints, sizeConstraintsOriginal, stamp, toString, toStringConstraints, toStringFull
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Field Detail
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MinInt
public static final int MinInt
It specifies the minimum element in the domain.- See Also:
- Constant Field Values
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MaxInt
public static final int MaxInt
It specifies the maximum element in the domain.- See Also:
- Constant Field Values
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GROUND
public static final int GROUND
It specifies the constant for GROUND event. It has to be smaller than the constant for events BOUND and ANY.- See Also:
- Constant Field Values
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BOUND
public static final int BOUND
It specifies the constant for BOUND event. It has to be smaller than the constant for event ANY.- See Also:
- Constant Field Values
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ANY
public static final int ANY
It specifies the constant for ANY event.- See Also:
- Constant Field Values
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eventsInclusion
static final int[][] eventsInclusion
It specifies for each event what other events are subsumed by this event. Possibly implement this by bit flags in int.
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IntervalDomainID
public static final int IntervalDomainID
Unique identifier for an interval domain type.- See Also:
- Constant Field Values
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BoundDomainID
public static final int BoundDomainID
Unique identifier for a bound domain type.- See Also:
- Constant Field Values
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SmallDenseDomainID
public static final int SmallDenseDomainID
Unique identifier for a small dense domain type.- See Also:
- Constant Field Values
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emptyIntDomain
public static final IntDomain emptyIntDomain
It specifies an empty integer domain.
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previousDomain
public IntDomain previousDomain
It specifies the previous domain which was used by this domain. The old domain is stored here and can be easily restored if necessary.
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generator
private static final java.util.Random generator
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Method Detail
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getEventsInclusion
public int[] getEventsInclusion(int pruningEvent)
It helps to specify what events should be executed if a given event occurs.- Specified by:
getEventsInclusion
in classDomain
- Parameters:
pruningEvent
- the pruning event for which we want to know what events it encompasses.- Returns:
- an array specifying what events should be included given this event.
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unionAdapt
public void unionAdapt(Interval i)
It adds interval of values to the domain.- Parameters:
i
- Interval which needs to be added to the domain.
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addDom
public void addDom(IntDomain domain)
It adds values as specified by the parameter to the domain.- Parameters:
domain
- Domain which needs to be added to the domain.
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unionAdapt
public abstract void unionAdapt(int min, int max)
It adds all values between min and max to the domain.- Parameters:
min
- the left bound of the interval being added.max
- the right bound of the interval being added.
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unionAdapt
public void unionAdapt(int value)
It adds a values to the domain.- Parameters:
value
- value being added to the domain.
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isIntersecting
public boolean isIntersecting(IntDomain domain)
Checks if two domains intersect.- Parameters:
domain
- the domain for which intersection is checked.- Returns:
- true if domains are intersecting.
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isIntersecting
public abstract boolean isIntersecting(int min, int max)
It checks if interval min..max intersects with current domain.- Parameters:
min
- the left bound of the interval.max
- the right bound of the interval.- Returns:
- true if domain intersects with the specified interval.
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contains
public boolean contains(IntDomain domain)
It specifies if the current domain contains the domain given as a parameter.- Parameters:
domain
- for which we check if it is contained in the current domain.- Returns:
- true if the supplied domain is cover by this domain.
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contains
public abstract boolean contains(int min, int max)
It checks if an interval min..max belongs to the domain.- Parameters:
min
- the minimum value of the interval being checkedmax
- the maximum value of the interval being checked- Returns:
- true if value belongs to the domain.
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complement
public abstract IntDomain complement()
It creates a complement of a domain.- Returns:
- it returns the complement of this domain.
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contains
public boolean contains(int value)
It checks if value belongs to the domain.- Parameters:
value
- which is checked if it exists in the domain.- Returns:
- true if value belongs to the domain.
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nextValue
public abstract int nextValue(int value)
It gives next value in the domain from the given one (lexigraphical ordering). If no value can be found then returns the same value.- Parameters:
value
- it specifies the value after which a next value has to be found.- Returns:
- next value after the specified one which belong to this domain.
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previousValue
public abstract int previousValue(int value)
It gives previous value in the domain from the given one (lexigraphical ordering). If no value can be found then returns the same value.- Parameters:
value
- before which a value is seeked for.- Returns:
- it returns the value before the one specified as a parameter.
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valueEnumeration
public abstract ValueEnumeration valueEnumeration()
It returns value enumeration of the domain values.- Specified by:
valueEnumeration
in classDomain
- Returns:
- valueEnumeration which can be used to enumerate one by one value from this domain.
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intervalEnumeration
public abstract IntervalEnumeration intervalEnumeration()
It returns interval enumeration of the domain values.- Returns:
- intervalEnumeration which can be used to enumerate intervals in this domain.
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getSize
public abstract int getSize()
It returns the size of the domain.
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intersect
public abstract IntDomain intersect(IntDomain dom)
It intersects current domain with the one given as a parameter.- Parameters:
dom
- domain with which the intersection needs to be computed.- Returns:
- the intersection between supplied domain and this domain.
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intersect
public abstract IntDomain intersect(int min, int max)
In intersects current domain with the interval min..max.- Parameters:
min
- the left bound of the interval (inclusive)max
- the right bound of the interval (inclusive)- Returns:
- the intersection between the specified interval and this domain.
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subtract
public IntDomain subtract(int value)
It intersects with the domain which is a complement of value.- Parameters:
value
- the value for which the complement is computed- Returns:
- the domain which does not contain specified value.
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subtractAdapt
public abstract void subtractAdapt(int value)
It removes value from the domain. It adapts current (this) domain.- Parameters:
value
- the value for which the complement is computed
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subtractAdapt
public abstract void subtractAdapt(int min, int max)
It removes all values between min and max to the domain.- Parameters:
min
- the left bound of the interval being removed.max
- the right bound of the interval being removed.
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max
public abstract int max()
It returns the maximum value in a domain.- Returns:
- the largest value present in the domain.
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min
public abstract int min()
It returns the minimum value in a domain.- Returns:
- the smallest value present in the domain.
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setDomain
public abstract void setDomain(IntDomain domain)
It sets the domain to the specified domain.- Parameters:
domain
- the domain from which this domain takes all elements.
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setDomain
public abstract void setDomain(int min, int max)
It sets this domain to contain exactly all values between min and max.- Parameters:
min
- the left bound of the interval (inclusive).max
- the right bound of the interval (inclusive).
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singleton
public boolean singleton(int c)
It returns true if given domain has only one element equal c.- Parameters:
c
- the value to which the only element should be equal to.- Returns:
- true if the domain contains only one element c.
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subtract
public IntDomain subtract(IntDomain domain)
It subtracts domain from current domain and returns the result.- Parameters:
domain
- the domain which is subtracted from this domain.- Returns:
- the result of the subtraction.
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subtract
public abstract IntDomain subtract(int min, int max)
It subtracts interval min..max.- Parameters:
min
- the left bound of the interval (inclusive).max
- the right bound of the interval (inclusive).- Returns:
- the result of the subtraction.
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union
public IntDomain union(IntDomain domain)
It computes union of the supplied domain with this domain.- Parameters:
domain
- the domain for which the union is computed.- Returns:
- the union of this domain with the supplied one.
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union
public IntDomain union(int min, int max)
It computes union of this domain and the interval.- Parameters:
min
- the left bound of the interval (inclusive).max
- the right bound of the interval (inclusive).- Returns:
- the union of this domain and the interval.
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union
public IntDomain union(int value)
It computes union of this domain and value.- Parameters:
value
- it specifies the value which is being added.- Returns:
- domain which is a union of this one and the value.
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inMin
public void inMin(int storeLevel, Var var, int min)
It updates the domain according to the minimum value and stamp value. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.min
- the minimum value to which the domain is updated.
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inMax
public void inMax(int storeLevel, Var var, int max)
It updates the domain according to the maximum value and stamp value. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.max
- the maximum value to which the domain is updated.
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in
public abstract void in(int storeLevel, Var var, int min, int max)
It updates the domain to have values only within the interval min..max. The type of update is decided by the value of stamp. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.min
- the minimum value to which the domain is updated.max
- the maximum value to which the domain is updated.
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inValue
public void inValue(int level, IntVar var, int value)
It reduces domain to a single value.- Parameters:
level
- level of the store at which the update occurs.var
- variable for which this domain is used.value
- the value according to which the domain is updated.
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in
public void in(int storeLevel, Var var, IntDomain domain)
It updates the domain to have values only within the domain. The type of update is decided by the value of stamp. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.domain
- the domain according to which the domain is updated.
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inComplement
public void inComplement(int storeLevel, Var var, int complement)
It updates the domain to not contain the value complement. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.complement
- value which is removed from the domain if it belonged to the domain.
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inComplement
public abstract void inComplement(int storeLevel, Var var, int min, int max)
It updates the domain so it does not contain the supplied interval. It informs the variable of a change if it occurred.- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.min
- the left bound of the interval (inclusive).max
- the right bound of the interval (inclusive).
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noIntervals
public abstract int noIntervals()
It returns number of intervals required to represent this domain.- Returns:
- the number of intervals in the domain.
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getInterval
public abstract Interval getInterval(int position)
It returns required interval.- Parameters:
position
- the position of the interval.- Returns:
- the interval, or null if the required interval does not exist.
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inShift
public abstract void inShift(int storeLevel, Var var, IntDomain domain, int shift)
It updates the domain to contain the elements as specifed by the domain, which is shifted. E.g. {1..4} + 3 = 4..7- Parameters:
storeLevel
- level of the store at which the update occurs.var
- variable for which this domain is used.domain
- the domain according to which the domain is updated.shift
- the shift which is used to shift the domain supplied as argument.
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leftElement
public int leftElement(int intervalNo)
It returns the left most element of the given interval.- Parameters:
intervalNo
- the interval number.- Returns:
- the left bound of the specified interval.
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rightElement
public int rightElement(int intervalNo)
It returns the right most element of the given interval.- Parameters:
intervalNo
- the interval number.- Returns:
- the right bound of the specified interval.
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recentDomainPruning
public abstract IntDomain recentDomainPruning(int currentStoreLevel)
It returns the values which have been removed at current store level.- Parameters:
currentStoreLevel
- the current store level.- Returns:
- emptyDomain if domain did not change at current level, or the set of values which have been removed at current level.
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getPreviousDomain
public abstract IntDomain getPreviousDomain()
It returns domain at earlier level at which the change has occurred.- Returns:
- previous domain
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eq
public boolean eq(IntDomain domain)
It specifies if the other int domain is equal to this one.- Parameters:
domain
- the domain which is compared to this domain.- Returns:
- true if both domains contain the same elements, false otherwise.
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in
public void in(int level, Var var, Domain domain)
Description copied from class:Domain
It enforces that this domain is included within the specified domain.
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singleton
public boolean singleton(Domain value)
Description copied from class:Domain
It returns true if given domain has only one element.
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noConstraints
public int noConstraints()
It returns the number of constraints- Specified by:
noConstraints
in classDomain
- Returns:
- the number of constraints attached to this domain.
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putModelConstraint
public void putModelConstraint(int storeLevel, Var var, Constraint C, int pruningEvent)
It adds a constraint to a domain, it should only be called by putConstraint function of Variable object. putConstraint function from Variable must make a copy of a vector of constraints if vector was not cloned.- Specified by:
putModelConstraint
in classDomain
- Parameters:
storeLevel
- the level at which the model constraint is to be added.var
- variable to which the constraint is attached to.C
- the constraint which is being attached to a variable.pruningEvent
- the type of the prunning event required to check the consistency of the attached constraint.
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removeModelConstraint
public void removeModelConstraint(int storeLevel, Var var, Constraint C)
Description copied from class:Domain
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object. It is called for example in a situation when a constraint is satisfied.- Specified by:
removeModelConstraint
in classDomain
- Parameters:
storeLevel
- specifies the current level of the store, from which it should be removed.var
- specifies variable for which the constraint is being removed.C
- the constraint which is being removed.
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putSearchConstraint
public void putSearchConstraint(int storeLevel, Var var, Constraint C)
It adds a constraint to a domain, it should only be called by putConstraint function of Variable object. putConstraint function from Variable must make a copy of a vector of constraints if vector was not cloned.- Specified by:
putSearchConstraint
in classDomain
- Parameters:
storeLevel
- the level at which the search constraint is to be added.var
- variable to which the constraint is attached to.C
- the constraint which is being attached to a variable.
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removeSearchConstraint
public void removeSearchConstraint(int storeLevel, Var var, Constraint C)
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object.- Parameters:
storeLevel
- the current level of the store.var
- the variable for which the constraint is being removed.C
- the constraint being removed.
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removeSearchConstraint
public void removeSearchConstraint(int storeLevel, Var var, int position, Constraint C)
It removes a constraint from a domain, it should only be called by removeConstraint function of Variable object.- Specified by:
removeSearchConstraint
in classDomain
- Parameters:
storeLevel
- specifies the current level of the store, from which it should be removed.var
- specifies variable for which the constraint is being removed.position
- specifies the position of the removed constraint.C
- the constraint which is being removed.
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cloneLight
public abstract IntDomain cloneLight()
Description copied from class:Domain
It clones the domain object, only data responsible for encoding domain values is cloned. All other fields must be set separately.- Specified by:
cloneLight
in classDomain
- Returns:
- return a clone of the domain. It aims at getting domain of the proper class type.
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lex
public int lex(IntDomain domain)
Returns the lexical ordering between the sets- Parameters:
domain
- the set that should be lexically compared to this set- Returns:
- -1 if s is greater than this set, 0 if s is equal to this set and else it returns 1.
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elementsSmallerThan
public int elementsSmallerThan(int el)
It returns the number of elements smaller than el.- Parameters:
el
- the element from which counted elements must be smaller than.- Returns:
- the number of elements which are smaller than the provided element el.
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intersectAdapt
public abstract int intersectAdapt(IntDomain intersect)
It computes an intersection with a given domain and stores it in this domain.- Parameters:
intersect
- domain with which the intersection is being computed.- Returns:
- type of event which has occurred due to the operation.
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unionAdapt
public int unionAdapt(IntDomain union)
It computes a union between this domain and the domain provided as a parameter. This domain is changed to reflect the result.- Parameters:
union
- the domain with is used for the union operation with this domain.- Returns:
- it returns information about the pruning event which has occurred due to this operation.
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intersectAdapt
public abstract int intersectAdapt(int min, int max)
It computes an intersection of this domain with an interval [min..max]. It adapts this domain to the result of the intersection.- Parameters:
min
- the minimum value of the interval used in the intersection computation.max
- the maximum value of the interval used in the intersection computation.- Returns:
- it returns information about the pruning event which has occurred due to this operation.
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sizeOfIntersection
public int sizeOfIntersection(IntDomain domain)
It computes the size of the intersection between this domain and the domain supplied as a parameter.- Parameters:
domain
- the domain with which the intersection is computed.- Returns:
- the size of the intersection.
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getElementAt
public abstract int getElementAt(int index)
It access the element at the specified position.- Parameters:
index
- the position of the element, indexing starts from 0.- Returns:
- the value at a given position in the domain.
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toIntArray
public int[] toIntArray()
It constructs and int array containing all elements in the domain. The array will have size equal to the number of elements in the domain.- Returns:
- the int array containing all elements in a domain.
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value
public int value()
It returns the value to which this domain is grounded. It assumes that a domain is a singleton domain.- Returns:
- the only value remaining in the domain.
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getRandomValue
public int getRandomValue()
It returns a random value from the domain.- Returns:
- random value.
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mulBounds
public static final Interval mulBounds(int a, int b, int c, int d)
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squareBounds
public static final Interval squareBounds(int a, int b)
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divBounds
public static final Interval divBounds(int a, int b, int c, int d)
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divIntBounds
public static final Interval divIntBounds(int a, int b, int c, int d)
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multiplyInt
public static int multiplyInt(int x, int y)
Returns the product of the arguments, if the result overflows MaxInt or MinInt is returned.- Parameters:
x
- the first valuey
- the second value- Returns:
- the result or MaxInt/MinInt if result causes overflow
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addInt
public static int addInt(int x, int y)
Returns the sum of its arguments, if the result overflows MaxInt or MinInt is returned.- Parameters:
x
- the first valuey
- the second value- Returns:
- the result or MaxInt/MinInt if result causes overflow
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subtractInt
public static int subtractInt(int x, int y)
Returns the difference of the arguments, if the result overflows MaxInt or MinInt is returned.- Parameters:
x
- the first valuey
- the second value to subtract from the first- Returns:
- the result or MaxInt/MinInt if result causes overflow
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