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GRBModel::addGenConstrPoly()

Add a new general constraint of type GRB_GENCONSTR_POLY to a model.

A polynomial function constraint states that the relationship $$y = p_0 x^d + p_1 x^{d-1} + ... + p_{d-1} x + p_{d}$$ should hold between variables $x$ and $y$ .

A piecewise-linear approximation of the function is added to the model. The details of the approximation are controlled using the following four attributes (or using the parameters with the same names): FuncPieces, FuncPieceError, FuncPiecesLength, and FuncPieceRatio. For details, consult the General Constraint discussion.

GRBGenConstr	addGenConstrPoly (	GRBVar	xvar,
		GRBVar	yvar,
		int	plen,
		const double*	p,
		std::string	name="",
		std::string	options="" )

Arguments:

xvar: The $x$ variable.

yvar: The $y$ variable.

plen: The length of coefficient array p. If $x^d$ is the highest power term, then plen should be $d+1$ .

p: The coefficients for the polynomial function (starting with the coefficient for the highest power).

name (optional): Name for the new general constraint.

options (optional): A string that can be used to set the attributes that control the piecewise-linear approximation of this function constraint. To assign a value to an attribute, follow the attribute name with an equal sign and the desired value (with no spaces). Assignments for different attributes should be separated by spaces (e.g. "FuncPieces=-1 FuncPieceError=0.001").

Return value:

New general constraint.