Localsolver  5.5
localsolver Namespace Reference

Namespace of LocalSolver. More...

Classes

class  LocalSolver
 LocalSolver environment. More...
class  LSCollection
 Value type for collection expressions (lists). More...
class  LSException
 LocalSolver exception. More...
class  LSExpression
 Mathematical modeling expression. More...
class  LSModel
 Mathematical optimization model. More...
class  LSParam
 Solving parameters. More...
class  LSPhase
 Optimization phase. More...
class  LSSolution
 Solution to the optimization model. More...
class  LSStatistics
 Statistics of the search. More...
class  LSVersion
 Version and copyright info. More...

Typedefs

typedef void(* LSCallback )(LSCallbackType type, void *userdata)
 Implementing a LSCallback function allows having user-defined functions called regularly during the search.
typedef long long lsint
 Integer type used in LocalSolver model.
typedef double lsdouble
 Float type used in LocalSolver model.

Enumerations

enum  LSCallbackType {
  CT_PhaseStarted,
  CT_PhaseEnded,
  CT_Ticked
}
 List of types that can be used with callbacks. More...
enum  LSErrorCode {
  EC_Api,
  EC_File,
  EC_Model,
  EC_Callback,
  EC_License,
  EC_Solver,
  EC_Internal,
  EC_Modeler
}
 List of error codes used by LSException. More...
enum  LSObjectiveDirection {
  OD_Minimize,
  OD_Maximize
}
 Objective directions. More...
enum  LSOperator {
  O_Bool,
  O_Float,
  O_Const,
  O_Sum,
  O_Sub,
  O_Prod,
  O_Max,
  O_Min,
  O_Eq,
  O_Neq,
  O_Geq,
  O_Leq,
  O_Gt,
  O_Lt,
  O_If,
  O_Not,
  O_And,
  O_Or,
  O_Xor,
  O_Abs,
  O_Dist,
  O_Div,
  O_Mod,
  O_Array,
  O_At,
  O_Scalar,
  O_Ceil,
  O_Floor,
  O_Round,
  O_Sqrt,
  O_Log,
  O_Exp,
  O_Pow,
  O_Cos,
  O_Sin,
  O_Tan,
  O_Int,
  O_Piecewise,
  O_List,
  O_Count,
  O_IndexOf,
  O_Partition,
  O_Disjoint
}
 Mathematical operators available for modeling. More...
enum  LSSolutionStatus {
  SS_Inconsistent,
  SS_Infeasible,
  SS_Feasible,
  SS_Optimal
}
 Solution status: Optimal, Feasible, Infeasible or Inconsistent. More...
enum  LSState {
  S_Modeling,
  S_Running,
  S_Paused,
  S_Stopped
}
 State of LocalSolver environment. More...

Detailed Description

Namespace of LocalSolver.

Typedef Documentation

typedef void(* localsolver::LSCallback)(LSCallbackType type, void *userdata)

Implementing a LSCallback function allows having user-defined functions called regularly during the search.

It can be used for example to control when to stop the search or to display some specific information during the search.

Parameters
solverThe solver calling the function.
typeThe type of event that triggered the call.
typedef long long localsolver::lsint

Integer type used in LocalSolver model.

The range of all integer numbers manipulated in LocalSolver model is limited to {-2^63, ..., 2^63-1}. Note that 2^63 = 9,223,372,036,854,775,808 > 10^18.

typedef double localsolver::lsdouble

Float type used in LocalSolver model.

The precision of all float numbers manipulated in LocalSolver model is limited to 64 bits.

Since
3.0

Enumeration Type Documentation

List of types that can be used with callbacks.

Each type corresponds to a specific event that can occur during the resolution.

Since
4.0
Enumerator:
CT_PhaseStarted 

Event that occurs when a phase is started.

CT_PhaseEnded 

Event that occurs when a phase ends.

CT_Ticked 

Event that occurs regularly during the resolution.

The time between two such ticks can be tuned with the timeBetweenDisplay parameter.

See Also
LSParam::setTimeBetweenDisplays(int)

List of error codes used by LSException.

Enumerator:
EC_Api 

Code used for errors related to API functions.

Used when you call a function in a wrong way or with inappropriate parameters.

Examples of error messages:

  • Argument 'argName' cannot be null.
  • Argument 'argName' does not belong to this instance of LocalSolver.
  • Argument 'argName' must be positive.
  • Argument 'argName' cannot be an empty string.
  • This method is only allowed in state Modeling (the model must not be closed).
EC_File 

Code used when an error related to input/output operations occurs.

Examples of error messages:

  • File doesn't exist.
  • File is corrupted.
  • Cannot open file.
  • File format is not recognized.
EC_Model 

Code used when a problem related to the structure of the model occurs.

Examples of error messages:

  • At least one objective is required in the model.
  • A cycle of length 'n' was detected in the model.
  • Number of operands ('n') is too small: at least 'm' operands are expected for 'operator'.
  • Operand 'n' of 'operator' must be 'type'. Type provided: 'otherType'.
EC_Callback 

Code used when an error is encountered in a user callback.

EC_License 

Code used when a problem related to licensing occurs.

That could be a problem with the license itself (expiration, hardware signature, ...), or a problem related to input/output or networking operations.

Examples of error messages:

  • Incorrect license number.
  • This license key is not compatible with the current hardware. Please contact your reseller.
  • Property prop is missing in file [file]
  • Fail to contact the token server. Check your connection.
  • This license is not compatible with the current hardware.
  • No token available. All tokens are currently in use.
EC_Solver 

Code used when a problem occurs during the resolution such a division by zero or an index out of bounds.

Keep in mind that, during the search variables are likely to take values that do not satisfy the constraints (for instance in the feasibility stage). Consequently when an division by zero or array overflow occurs in your model, it probably means that the denominator of a modulo or the index of a array can take invalid values. You can fix this using min and max expressions for instance: z <- x % y can be replaced by z<-x % max(1,y).

Examples of error messages:

  • Division by zero.
  • Index out of bounds for 'at' operator (index: 'indexId', array size: 'n')
EC_Internal 

Internal LocalSolver error.

EC_Modeler 

Code used when an error is encountered in the modeler.

Objective directions.

See Also
LSModel::addObjective(LSExpression*, LSObjectiveDirection)
Enumerator:
OD_Minimize 

Minimization.

OD_Maximize 

Maximization.

Mathematical operators available for modeling.

These operators are used to type the expressions created in LocalSolver mathematical optimization model.

See Also
LSModel
LSExpression
Enumerator:
O_Bool 

Boolean decision.

Decisional operator with no operand. Decision variable with domain {0,1}.

O_Float 

Float decision.

Decisional operator with two operands min and max. Decision variable with domain [min,max].

Since
4.0
O_Const 

Constant.

Unary operator. Can be equal to any integer. Note that constants 0 or 1 are considered as boolean. Constants are implicitly created when passing integer arguments to LSModel#createExpression(LSOperator, lsint) or LSExpression#addOperand(lsint).

O_Sum 

Sum.

N-ary arithmetic operator. SUM(e1,e2,...,eN) is equal to the sum of all operands e1,e2,...,eN. This operator returns an integer or a double according to the type of its operands.

O_Sub 

Substraction.

Binary arithmetic operator. SUB(x, y) is equal to the value of x - y. This operator returns an integer or a double according to the type of its operands.

Since
4.0
O_Prod 

Product.

N-ary arithmetic operator. PROD(e1,e2,...,eN) is equal to the product of all operands e1,e2,...,eN. This operator returns an integer or a double according to the type of its operands.

O_Max 

Maximum.

N-ary arithmetic operator. MAX(e1,e2,...,eN) is equal to the maximum value among all operands e1,e2,...,eN. This operator returns an integer or a double according to the type of its operands.

O_Min 

Minimum.

N-ary arithmetic operator. MIN(e1,e2,...,eN) is equal to the minimum value among all operands e1,e2,...,eN. This operator returns an integer or a double according to the type of its operands.

O_Eq 

Equal.

Binary relational operator. EQ(a,b) = 1 if a == b, and 0 otherwise. This operator returns a boolean.

O_Neq 

Not equal to.

Binary relational operator. NEQ(a,b) = 1 if a != b, and 0 otherwise. This operator returns a boolean.

O_Geq 

Greater than or equal to.

Binary relational operator. GEQ(a,b) = 1 if a >= b, and 0 otherwise. This operator returns a boolean.

O_Leq 

Lower than or equal to.

Binary relational operator. LEQ(a,b) = 1 if a <= b, and 0 otherwise. This operator returns a boolean.

O_Gt 

Strictly greater than.

Binary relational operator. GT(a,b) = 1 if a > b, and 0 otherwise. This operator returns a boolean.

O_Lt 

Strictly lower than.

Binary relational operator. LQ(a, b) = 1 if a < b, and 0 otherwise. This operator returns a boolean.

O_If 

If-Then-Else.

Ternary conditional operator. IF(a,b,c) is equal to b if a is true, and c otherwise. Note that the first operand must be a boolean (that is, equal to 0 or 1). This operator returns a boolean, an integer or a double according to the type of the second and third operands.

O_Not 

Not.

Unary logical operator. NOT(a) = 1 - a. Note that the operand must be boolean (that is, equal to 0 or 1). This operator returns a boolean.

O_And 

And.

N-ary logical operator. AND(e1,e2,...,eN) is equal to 1 (true) if all operands e1,e2,...,eN are 1, and 0 otherwise. Note that all operands must be boolean (that is, equal to 0 or 1). This operator returns a boolean.

O_Or 

Or.

N-ary logical operator. OR(e1,e2,...,eN) is equal to 0 if all operands e1,e2,...,eN are 0, and 1 otherwise. Note that all operands must be boolean (that is, equal to 0 or 1). This operator returns a boolean.

O_Xor 

Exclusive or (also called "xor").

N-ary logical operator. XOR(e1,e2,...,eN) is equal to 0 if the number of operands with value 1 among e1,e2,...,eN is even, and 1 otherwise. Remarkable case: XOR(a,b) = 1 if a == b, and 0 otherwise. Note that all operands must be boolean (that is, equal to 0 or 1). This operator returns a boolean.

O_Abs 

Absolute value.

Unary arithmetic operator. ABS(e) = e >= 0 ? e : -e. This operator returns an integer or a double according to the type of its operand.

O_Dist 

Distance between two numbers.

Binary arithmetic operator. DIST(a,b) = ABS(a-b). This operator returns an integer or a double according to the type of its operands.

O_Div 

Division.

Binary arithmetic operator. This operator always returns a double. Note that until version 4.0, the division was an integer division if both operands were integers.

O_Mod 

Modulo (remainder of the integer division).

Binary arithmetic operator. MOD(a,b) = r such that a = q * b + r with q, r integers and |r| < b. An error will be thrown if b equals 0 at an iteration of the search. Note that the operands must be integers. This operator returns an integer.

O_Array 

Array.

An array is a collection of elements. Indexes begin at 0. It could be used with operators like at or scalar. An array can contain operands of type double, integer or boolean. Note that an array cannot contain another array.

Since
2.1
O_At 

Returns the element of an array.

MyArray[i] returns the i element of the array MyArray. An error will be thrown if i is out of range. This operator returns a boolean, an integer or a double according to the type of the operands in the array.

Since
2.1
O_Scalar 

Scalar product.

SCALAR(a, x) = sum(a[i]*x[i]) with a and x two arrays. This operator returns an integer or a double according to the type of the operands in the arrays.

Since
2.1
O_Ceil 

Ceil.

Unary arithmetic operator. Returns a value rounded to the next highest integer. This operator returns an integer.

Since
3.0
O_Floor 

Floor.

Unary arithmetic operator. Returns a value rounded to the next lowest integer. This operator returns an integer.

Since
3.0
O_Round 

Round.

Unary arithmetic operator. Returns a value rounded to the nearest integer. This operator returns an integer.

Since
3.0
O_Sqrt 

Square root.

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Log 

Natural logarithm (base-e).

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Exp 

Base-e exponential.

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Pow 

Power operator.

POW(x, y) is equals to the value of x to the power of y. This operator returns a double.

Since
3.0
O_Cos 

Cosine.

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Sin 

Sine.

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Tan 

Tangent.

Unary arithmetic operator. This operator returns a double.

Since
3.0
O_Int 

Integer decision variable.

Decisional operator with two operands min and max. Decision variable with domain [min,max].

Since
5.0
O_Piecewise 

Piecewise-linear function operator.

The piecewise linear function is defined by two arrays of numbers giving the breakpoints of the function. This operator has exactly 3 operands: The first two operands must be two arrays of equal lengths (necessarily larger or equal to 2). These arrays must contain constant numbers (int or double). The first array must contain numbers in ascending order. The third operand must be an integer or double expression. An exception will be thrown if its value is strictly smaller that the first element of the first array, or strictly larger than the last element of the first array. This operator returns a double.

piecewise(x,y,z) returns the image of z by the function defined by geometric points (x[0],y[0]), (x[1],y[1]), ..... (x[n-1],y[n-1]), For instance piecewise({0,50,100},{0,10,100},75) returns 55.

Discontinuities are allowed in the definition of the function, that is to say that two geometric points can share the same x-coordinate. By convention the value taken by the function at such a discontinuous point is the one associated to the last occurrence of this x-coordinate in array x. For instance piecewise({0,50,50,100},{0,0.1,0.9,1},50) returns 0.9;

Since
5.0
O_List 

A list is an collection of integers within a range [0,n-1] where n is the unique argument of this operator.

Mathematically a list is a permutation of a subset of [0,n-1]. This operator takes exactly one parameter: a constant strictly positive integer. All values in the list will be pairwise different, non negative and strictly smaller that this number. The elements of the list can be accessed with the at operator (-1 will be returned for indices beyond the number of elements in the list and for negative indices).

Since
5.5
O_Count 

The number of elements in a collection.

This operator takes exactly one argument of type list.

Since
5.5
O_IndexOf 

The index of a value in a list (-1 if the value is not in the list).

This operator takes exactly two arguments: the first one is a list, the second one is an integer expression.

Since
5.5
O_Partition 

Partition.

N-ary logical operator. Partition(l1,l2,...,lN) is true if all lists l1,l2..lN form a partition of their common range. All parameters of this operator must be lists on the same range.

Since
5.5
O_Disjoint 

Disjoint.

N-ary logical operator. Disjoint(l1,l2,...,lN) is true if all lists l1,l2..lN are pairwise disjoint. All parameters of this operator must be lists on the same range.

Since
5.5

Solution status: Optimal, Feasible, Infeasible or Inconsistent.

See Also
LSSolution
Enumerator:
SS_Inconsistent 

Solution and model are inconsistent.

The solver was able to prove that the model admits no feasible solution. Note that even a model without any constraint can be infeasible because some expressions induce implicit constraints: for instance defining sqrt(x) implicitly constrains x to be non-negative.

SS_Infeasible 

Solution is infeasible (some constraints are violated).

SS_Feasible 

Solution is feasible but optimality was not proven.

SS_Optimal 

Solution is optimal (all objective bounds are reached).

State of LocalSolver environment.

See Also
LocalSolver::getState()
Enumerator:
S_Modeling 

Model is being built.

S_Running 

Solver is running.

S_Paused 

Solver is paused.

S_Stopped 

Solver is stopped.