public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
var constantResult = (int)arguments[0].ConstantValue.Value % (int)arguments[1].ConstantValue.Value;
return(milpManager.FromConstant((int)constantResult));
}
IVariable numerator = arguments[0];
IVariable denominator = arguments[1];
var one = milpManager.FromConstant(1);
var any = milpManager.CreateAnonymous(Domain.PositiveOrZeroInteger);
any.Operation(OperationType.Multiplication, denominator).Set(ConstraintType.LessOrEqual, numerator);
any.Operation(OperationType.Addition, one)
.Operation(OperationType.Multiplication, denominator)
.Set(ConstraintType.GreaterOrEqual, numerator.Operation(OperationType.Addition, one));
IVariable result = milpManager.CreateAnonymous(Domain.PositiveOrZeroInteger);
result.Set(ConstraintType.LessOrEqual, denominator);
result.Set(ConstraintType.Equal,
numerator.Operation(OperationType.Subtraction,
denominator.Operation(OperationType.Multiplication, any)));
result.ConstantValue = numerator.ConstantValue % denominator.ConstantValue;
result.Expression = $"{numerator.FullExpression()} % {denominator.FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(x => x.IsConstant()))
{
var sum = arguments.Select(x => x.ConstantValue.Value).Sum();
if (arguments.All(x => x.IsInteger()))
{
return(milpManager.FromConstant((int)sum));
}
return(milpManager.FromConstant(sum));
}
var domain = CalculateDomain(arguments);
return(arguments.Aggregate((x, y) =>
{
var result = milpManager.SumVariables(x, y, domain);
result.ConstantValue = x.ConstantValue + y.ConstantValue;
result.Expression = $"{x.FullExpression()} + {y.FullExpression()}";
return result;
}));
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
var constantArgument = (int)arguments[0].ConstantValue.Value;
var constantResult = constantArgument == 0 ? 1 : Enumerable.Range(1, constantArgument).Aggregate((a, b) => a * b);
return(milpManager.FromConstant(constantResult));
}
var number = arguments[0];
var one = milpManager.FromConstant(1);
var result = one;
for (int i = SoundBoundary(milpManager.MaximumIntegerValue); i >= 0; --i)
{
result = result.Operation(OperationType.Multiplication,
milpManager.Operation(OperationType.Maximum, one,
number.Operation(OperationType.Subtraction, milpManager.FromConstant(i))));
}
var finalResult = result.ChangeDomain(Domain.PositiveOrZeroInteger);
finalResult.Expression = $"{number.FullExpression()}!";
return(finalResult);
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters,
params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
var index = ((ArraySetParameters)parameters).Index;
var value = ((ArraySetParameters)parameters).Value;
if (index.IsConstant())
{
arguments[(int)index.ConstantValue.Value] = value;
return(arguments);
}
var catenatedArguments = string.Join(", ", arguments.Select(a => a.FullExpression()).ToArray());
for (int i = 0; i < arguments.Length; ++i)
{
arguments[i] = milpManager.Operation(OperationType.Condition, milpManager.FromConstant(i).Operation(OperationType.IsEqual, index), value, arguments[i]);
arguments[i].Expression = $"arraySet(wantedIndex: {index.FullExpression()}, value: {value.FullExpression()}, inArrayIndex: {i}, {catenatedArguments})";
}
return(arguments);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(milpManager.FromConstant(arguments[0].ConstantValue.Value > arguments[1].ConstantValue.Value ? 1 : 0));
}
var result = milpManager.CreateAnonymous(Domain.BinaryInteger);
var first = arguments[0];
var second = arguments[1];
second.Operation(OperationType.Subtraction, first)
.Operation(OperationType.Addition,
result.Operation(OperationType.Multiplication, milpManager.FromConstant(milpManager.IntegerInfinity)))
.Set(ConstraintType.GreaterOrEqual, milpManager.FromConstant(0))
.Set(ConstraintType.LessOrEqual, milpManager.FromConstant(milpManager.IntegerInfinity - (arguments.Any(a => a.IsReal()) ? milpManager.Epsilon : 1)));
result.ConstantValue = arguments.All(a => a.ConstantValue.HasValue)
? arguments[0].ConstantValue > arguments[1].ConstantValue ? 1 : 0
: (double?)null;
result.Expression = $"{arguments[0].FullExpression()} ?> {arguments[1].FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments[0].IsConstant())
{
var value = -arguments[0].ConstantValue.Value;
if (arguments[0].IsInteger())
{
return(milpManager.FromConstant((int)value));
}
else
{
return(milpManager.FromConstant(value));
}
}
Domain domain = arguments[0].IsReal() ? Domain.AnyReal : Domain.AnyInteger;
var result = milpManager.NegateVariable(arguments[0], domain);
result.ConstantValue = -arguments[0].ConstantValue;
result.Expression = $"-{arguments[0].FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(milpManager.FromConstant(arguments.Select(a => a.ConstantValue.Value).Distinct().Count()));
}
var total = milpManager.FromConstant(0);
foreach (var first in arguments)
{
var different = milpManager.FromConstant(1);
foreach (var second in arguments.TakeWhile(a => a != first))
{
different = different.Operation(OperationType.Conjunction,
first.Operation(OperationType.IsNotEqual, second));
}
total = total.Operation(OperationType.Addition, different);
}
total.Expression = $"differentValuesCount({string.Join(",", arguments.Select(a => a.FullExpression()).ToArray())})";
return(total);
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters,
params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
var typedParameters = parameters as ApproximateParameters;
var x = arguments.First();
if (arguments.All(i => i.IsConstant()))
{
return(new [] { milpManager.FromConstant(typedParameters.Function(x.ConstantValue.Value)) });
}
var one = milpManager.FromConstant(1);
var points = typedParameters.Arguments.Select(a => Tuple.Create(milpManager.FromConstant(a), milpManager.FromConstant(typedParameters.Function(a)))).ToArray();
var variables = points.Select(p => milpManager.CreateAnonymous(typedParameters.ArgumentMustBeOnAGrid ? Domain.BinaryInteger : Domain.PositiveOrZeroReal).Set(ConstraintType.LessOrEqual, one)).ToArray();
x.Set(ConstraintType.Equal, milpManager.Operation(OperationType.Addition, points.Select((point, index) => variables[index].Operation(OperationType.Multiplication, point.Item1)).ToArray()));
var y = milpManager.Operation(OperationType.Addition, points.Select((point, index) => variables[index].Operation(OperationType.Multiplication, point.Item2)).ToArray());
milpManager.Operation(OperationType.Addition, variables).Set(ConstraintType.Equal, one);
milpManager.Set(CompositeConstraintType.SpecialOrderedSetType2, variables.First(), variables.Skip(1).ToArray());
y.ConstantValue = x.IsConstant() ? typedParameters.Function(x.ConstantValue.Value) : (double?)null;
y.Expression = $"approximation({typedParameters.FunctionDescription})";
return(new[] { y });
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(x => x.IsConstant()))
{
if (arguments[0].IsInteger())
{
return(milpManager.FromConstant(Math.Abs((int)arguments[0].ConstantValue.Value)));
}
return(milpManager.FromConstant(Math.Abs(arguments[0].ConstantValue.Value)));
}
var number = arguments[0];
var numberNegated = number.Operation(OperationType.Negation);
var result = milpManager.CreateAnonymous(number.IsInteger() ? Domain.PositiveOrZeroInteger : Domain.PositiveOrZeroReal);
result.Set(ConstraintType.GreaterOrEqual, number)
.Set(ConstraintType.GreaterOrEqual, numberNegated);
milpManager.Operation(OperationType.Addition,
result.Operation(OperationType.IsEqual, number),
result.Operation(OperationType.IsEqual, numberNegated))
.Set(ConstraintType.GreaterOrEqual, milpManager.FromConstant(1));
result.ConstantValue = number.ConstantValue.HasValue ? Math.Abs(number.ConstantValue.Value) : number.ConstantValue;
result.Expression = $"|{number.FullExpression()}|";
return(result);
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters,
params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
var typedParameters = (ArrayGetParameters)parameters;
if (typedParameters.Index.IsConstant())
{
return(new[] { arguments[(int)typedParameters.Index.ConstantValue.Value] });
}
var index = typedParameters.Index;
var result = milpManager.CreateAnonymous(arguments.Skip(1)
.Aggregate(arguments[0].Domain, (domain, next) => domain.LowestEncompassingDomain(next.Domain)));
for (int i = 0; i < arguments.Length; ++i)
{
milpManager.FromConstant(i).Operation(OperationType.IsEqual, index)
.Operation(OperationType.MaterialImplication, result.Operation(OperationType.IsEqual, arguments[i]))
.MakeTrue();
}
result.ConstantValue = index.ConstantValue.HasValue ? arguments[(int)index.ConstantValue.Value].ConstantValue : null;
result.Expression = $"arrayGet(index: {index.FullExpression()}, {string.Join(", ", arguments.Select(a => a.FullExpression()).ToArray())})";
return(new[] { result });
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments[0].IsConstant())
{
if (arguments[0].ConstantValue.Value <= milpManager.Epsilon)
{
return(arguments[2]);
}
return(arguments[1]);
}
var trueBranch = arguments[0].Operation(OperationType.Multiplication, arguments[1]);
var falseBranch = arguments[0].Operation(OperationType.BinaryNegation)
.Operation(OperationType.Multiplication, arguments[2]);
var result = milpManager.Create(milpManager.Operation(OperationType.Addition,
trueBranch,
falseBranch
).ChangeDomain(trueBranch.LowestEncompassingDomain(falseBranch)));
result.Expression = $"{arguments[0].FullExpression()} ? {arguments[1].FullExpression()} : {arguments[2].FullExpression()}";
result.ConstantValue = !arguments[0].ConstantValue.HasValue
? null
: (int)arguments[0].ConstantValue.Value == 1 ? trueBranch.ConstantValue : falseBranch.ConstantValue;
return(result);
}
public IVariable Calculate(IMilpManager milpManager, GoalType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
return(arguments[0]);
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters, params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
return(InternalCalculate(milpManager, arguments, ((DecompositionParameters)parameters).Base));
}
public virtual IVariable Operation(OperationType type, params IVariable[] variables)
{
if (Operations[type].SupportsOperation(type, variables))
{
return(Operations[type].Calculate(this, type, variables));
}
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, variables));
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
return
(arguments.Aggregate((left, right) => left.Operation(OperationType.Addition, right.Operation(OperationType.Negation))));
}
public IVariable MakeGoal(GoalType type, params IVariable[] variables)
{
if (GoalCalculators[type].SupportsOperation(type, variables))
{
return(GoalCalculators[type].Calculate(this, type, variables));
}
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, variables));
}
public virtual IEnumerable <IVariable> CompositeOperation(CompositeOperationType type,
ICompositeOperationParameters parameters, params IVariable[] variables)
{
if (CompositeOperations[type].SupportsOperation(type, parameters, variables))
{
return(CompositeOperations[type].Calculate(this, type, parameters, variables));
}
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, variables));
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments)) throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
if (arguments[0].IsConstant())
{
return milpManager.FromConstant((int) (1 - arguments[0].ConstantValue.Value));
}
var result = milpManager.FromConstant(1).Operation(OperationType.Subtraction, arguments[0]).ChangeDomain(Domain.BinaryInteger).Create();
result.Expression = $"!{arguments[0].FullExpression()}";
return result;
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
var constantResult = Math.Pow(arguments[0].ConstantValue.Value, arguments[1].ConstantValue.Value);
if (arguments.All(a => a.IsInteger()))
{
return(milpManager.FromConstant((int)constantResult));
}
else
{
return(milpManager.FromConstant(constantResult));
}
}
var number = arguments[0];
var power = arguments[1];
var one = milpManager.FromConstant(1);
var zero = milpManager.FromConstant(0);
var isNumberLessOrEqualOne = number.Operation(OperationType.IsLessOrEqual, one);
var isPowerZero = power.Operation(OperationType.IsLessOrEqual, zero);
var isPowerOne = power.Operation(OperationType.IsEqual, one);
var isEdgeCase = milpManager.Operation(OperationType.Disjunction, isNumberLessOrEqualOne, isPowerZero, isPowerOne);
var result = milpManager.Operation(
OperationType.Condition,
isPowerZero,
one,
milpManager.Operation(
OperationType.Condition,
isNumberLessOrEqualOne,
number,
milpManager.Operation(
OperationType.Condition,
isPowerOne,
number,
CalculatePower(number, power, milpManager, isEdgeCase)
)
)
);
result.ConstantValue = number.ConstantValue.HasValue && power.ConstantValue.HasValue
? number.ConstantValue == 0
? 0.0
: power.ConstantValue == 0
? number.ConstantValue
: Math.Pow(number.ConstantValue.Value, power.ConstantValue.Value)
: (double?)null;
result.Expression = $"{number.FullExpression()} ** {power.FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.Length > 2)
{
return(arguments[0].Operation(type, milpManager.Operation(type, arguments.Skip(1).ToArray())));
}
return(CalculateForTwoVariables(milpManager, type, arguments));
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments)) throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
if (arguments.All(a => a.IsConstant()))
{
return milpManager.FromConstant((int)(arguments[0].ConstantValue.Value == 0 ? 1 : arguments[1].ConstantValue.Value));
}
var variable = arguments[0].Operation(OperationType.BinaryNegation).Operation(OperationType.Disjunction, arguments[1]);
variable.Expression = $"{arguments[0].FullExpression()} => {arguments[1].FullExpression()}";
return variable;
}
public IVariable Calculate(IMilpManager milpManager, GoalType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(milpManager.Operation(OperationType.Minimum, arguments));
}
return(milpManager.MakeGoal(GoalType.MaximizeMaximum, arguments).MakeGoal(GoalType.Minimize));
}
public void GetPossibleMovesTest()
{
Board board = new Board();
List <GameMove> moves = SolverUtilities.GetPossibleMoves(board);
BoardState initialState = board.GetBoardState();
foreach (GameMove move in moves)
{
board.DoMove(move);
BoardState moveState = board.GetBoardState();
Assert.IsFalse(initialState.Equals(moveState));
board.UndoMove();
BoardState undoMoveState = board.GetBoardState();
Assert.IsTrue(initialState.Equals(undoMoveState));
}
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(v => v.IsConstant()))
{
return(milpManager.FromConstant(Gcd((int)arguments[0].ConstantValue.Value, (int)arguments[1].ConstantValue.Value)));
}
var a = arguments[0];
var b = arguments[1];
var gcd = CalculateInternal(milpManager, a, b);
return(gcd);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
var constantResult = arguments[0].ConstantValue.Value / arguments[1].ConstantValue.Value;
if (arguments.All(a => a.IsInteger()))
{
return(milpManager.FromConstant((int)constantResult));
}
else
{
return(milpManager.FromConstant(constantResult));
}
}
var domain = CalculateDomain(arguments);
if (IsDividingByConstant(arguments))
{
var finalDomain = arguments.All(x => x.IsConstant()) ? domain.MakeConstant() : domain;
var physicalResult = milpManager.DivideVariableByConstant(arguments[0], arguments[1], finalDomain);
physicalResult.ConstantValue = arguments[0].ConstantValue / arguments[1].ConstantValue;
physicalResult.Expression = $"{arguments[0].FullExpression()} / {arguments[1].FullExpression()}";
return(physicalResult);
}
IVariable one = milpManager.FromConstant(1);
var result = milpManager.CreateAnonymous(domain);
result.Operation(OperationType.Multiplication, arguments[1])
.Set(ConstraintType.LessOrEqual, arguments[0]);
result.Operation(OperationType.Addition, one)
.Operation(OperationType.Multiplication, arguments[1])
.Set(ConstraintType.GreaterOrEqual, arguments[0].Operation(OperationType.Addition, one));
result.ConstantValue = arguments.All(a => a.ConstantValue.HasValue)
? arguments[1].ConstantValue.Value == 0
? (double?)null
: (long)arguments[0].ConstantValue.Value / (long)arguments[1].ConstantValue.Value
: null;
result.Expression = $"{arguments[0].FullExpression()} / {arguments[1].FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.Length == 1)
{
return(arguments[0]);
}
if (MultiplyOnlyConstants(arguments))
{
var result = arguments.Select(a => a.ConstantValue.Value).Aggregate((a, b) => a * b);
if (arguments.All(a => a.IsInteger()))
{
return(milpManager.FromConstant((int)result));
}
else
{
return(milpManager.FromConstant(result));
}
}
var domain = CalculateDomain(arguments);
if (MultiplyAtMostOneNonconstant(arguments))
{
return(arguments.Aggregate((x, y) =>
{
var result = y.IsConstant()
? milpManager.MultiplyVariableByConstant(x, y, domain)
: milpManager.MultiplyVariableByConstant(y, x, domain);
result.ConstantValue = x.ConstantValue * y.ConstantValue;
result.Expression = $"{x.FullExpression()} * {y.FullExpression()}";
return result;
}));
}
if (MultiplyBinaryVariables(arguments))
{
return(milpManager.Operation(OperationType.Conjunction, arguments));
}
return(MultiplyIntegers(milpManager, domain, arguments));
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters, params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(arguments.OrderBy(a => a.ConstantValue.Value));
}
var castedParameters = parameters as CountingSortParameters;
var values = castedParameters.Values;
var valuesWithCounts = new Dictionary <IVariable, IVariable>();
var zero = milpManager.FromConstant(0);
foreach (var value in values)
{
valuesWithCounts[value] = arguments.Aggregate(zero,
(current, val) =>
current.Operation(OperationType.Addition, val.Operation(OperationType.IsEqual, value)));
}
var sum = zero;
foreach (var value in values)
{
sum = sum.Operation(OperationType.Addition, valuesWithCounts[value]);
valuesWithCounts[value] = sum;
}
var infinity = milpManager.FromConstant(milpManager.MaximumIntegerValue);
var results = Enumerable.Range(1, arguments.Length).Select(p =>
{
var position = milpManager.FromConstant(p);
var result = milpManager.Operation(OperationType.Minimum,
values.Select(value =>
milpManager.Operation(OperationType.Condition,
position.Operation(OperationType.IsLessOrEqual, valuesWithCounts[value]), value, infinity)
).ToArray());
result.Expression = $"countingSort(position: {p}, {string.Join(", ", arguments.Select(a => a.FullExpression()).ToArray())})";
return(result);
}).ToArray();
return(results);
}
public IVariable Calculate(IMilpManager milpManager, OperationType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(milpManager.FromConstant(arguments[0].ConstantValue.Value < arguments[1].ConstantValue.Value ? 1 : 0));
}
var result = milpManager.Operation(OperationType.IsGreaterThan, arguments[1], arguments[0]);
result.ConstantValue = arguments.All(a => a.ConstantValue.HasValue)
? arguments[0].ConstantValue < arguments[1].ConstantValue ? 1 : 0
: (double?)null;
result.Expression = $"{arguments[0].FullExpression()} ?< {arguments[1].FullExpression()}";
return(result);
}
public IVariable Calculate(IMilpManager milpManager, GoalType type, params IVariable[] arguments)
{
if (!SupportsOperation(type, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, arguments));
}
if (arguments.All(a => a.IsConstant()))
{
return(milpManager.Operation(OperationType.Maximum, arguments));
}
var result = milpManager.CreateAnonymous(arguments.Any(a => a.IsReal()) ? Domain.AnyReal : Domain.AnyInteger);
arguments.Aggregate(milpManager.FromConstant(0), (existing, next) => existing.Operation(OperationType.Disjunction, result.Operation(OperationType.IsEqual, next)))
.Set(ConstraintType.Equal, milpManager.FromConstant(1));
return(result);
}
public IEnumerable <IVariable> Calculate(IMilpManager milpManager, CompositeOperationType type, ICompositeOperationParameters parameters,
params IVariable[] arguments)
{
if (!SupportsOperation(type, parameters, arguments))
{
throw new NotSupportedException(SolverUtilities.FormatUnsupportedMessage(type, parameters, arguments));
}
var options = parameters as LoopParameters;
var totalBound = milpManager.CreateAnonymous(Domain.PositiveOrZeroInteger);
totalBound.Set(ConstraintType.LessOrEqual, milpManager.FromConstant(options.MaxIterations));
options.BeforeLoopAction(totalBound, arguments);
for (int i = 1; i <= options.MaxIterations; ++i)
{
var counter = milpManager.FromConstant(i);
var isLooping = counter.Operation(OperationType.IsLessOrEqual, totalBound);
options.BeforeIterationAction(counter, isLooping, totalBound, arguments);
for (int v = 0; v < arguments.Length; ++v)
{
if (options.BeforeBody.Length > v)
{
options.BeforeBody[v](arguments[v], counter, isLooping, totalBound, arguments);
}
arguments[v] = milpManager.Operation(OperationType.Condition, isLooping, options.Body[v](arguments[v], counter, isLooping, totalBound, arguments), arguments[v]);
if (options.AfterBody.Length > v)
{
options.AfterBody[v](arguments[v], counter, isLooping, totalBound, arguments);
}
}
options.AfterIterationAction(counter, isLooping, totalBound, arguments);
}
options.AfterLoopAction(totalBound, arguments);
return(arguments.Concat(new[] { totalBound }).ToArray());
}