12 #ifndef COUENNE_EXPRPOW_HPP
13 #define COUENNE_EXPRPOW_HPP
41 exprOp (al, n), issignpower_ (signpower) {}
45 exprOp (arg0, arg1), issignpower_ (signpower) {}
57 {
return issignpower_ ?
"signpower" :
"^";}
134 CouNumber exponent,
bool signpower =
false) {
138 lexponent = exponent,
148 if ((rndexp % 2) || signpower)
149 retval = (- pow (- lbase, lexponent));
150 else retval = pow (- lbase, lexponent);
160 if ((fabs (lexponent - intk) <
COUENNE_EPS) && (intk % 2 || signpower))
166 retval = (pow (lbase, lexponent));
Cut Generator for linear convexifications.
OsiObject for auxiliary variables $w=f(x)$.
Class for MINLP problems with symbolic information.
Define a dynamic point+bounds, with a way to save and restore previous points+bounds through a LIFO s...
general n-ary operator-type expression: requires argument list.
int nargs_
number of arguments (cardinality of arglist)
expression ** arglist_
argument list is an array of pointers to other expressions
expression ** clonearglist(Domain *d=NULL) const
clone argument list (for use with clone method)
Power of an expression (binary operator), with constant.
virtual bool impliedBound(int, CouNumber *, CouNumber *, t_chg_bounds *, enum auxSign=expression::AUX_EQ)
implied bound processing
virtual CouNumber operator()()
function for the evaluation of the expression
virtual bool isCuttable(CouenneProblem *problem, int index) const
can this expression be further linearized or are we on its concave ("bad") side
virtual bool isInteger()
is this expression integer?
virtual enum pos printPos() const
print operator positioning
virtual int Linearity()
get a measure of "how linear" the expression is
virtual CouNumber selectBranch(const CouenneObject *obj, const OsiBranchingInformation *info, expression *&var, double *&brpts, double *&brDist, int &way)
set up branching object by evaluating many branching points for each expression's arguments
virtual void generateCuts(expression *w, OsiCuts &cs, const CouenneCutGenerator *cg, t_chg_bounds *=NULL, int=-1, CouNumber=-COUENNE_INFINITY, CouNumber=COUENNE_INFINITY)
generate equality between *this and *w
virtual void getBounds(CouNumber &lb, CouNumber &ub)
Get value of lower and upper bound of an expression (if any)
virtual enum expr_type code()
code for comparison
virtual CouNumber gradientNorm(const double *x)
return l-2 norm of gradient at given point
virtual std::string printOp() const
print operator
virtual expression * getFixVar()
return an index to the variable's argument that is better fixed in a branching rule for solving a non...
expression * clone(Domain *d=NULL) const
cloning method
virtual bool isSignpower() const
return whether this expression corresponds to a signed integer power
virtual void closestFeasible(expression *varind, expression *vardep, CouNumber &left, CouNumber &right) const
compute $y^{lv}$ and $y^{uv}$ for Violation Transfer algorithm
virtual expression * simplify()
simplification
exprPow(expression **al, int n=2, bool signpower=false)
Constructor.
virtual expression * differentiate(int index)
differentiation
virtual void getBounds(expression *&, expression *&)
Get lower and upper bound of an expression (if any)
virtual exprAux * standardize(CouenneProblem *p, bool addAux=true)
reduce expression in standard form, creating additional aux variables (and constraints)
exprPow(expression *arg0, expression *arg1, bool signpower=false)
Constructor with only two arguments.
auxSign
"sign" of the constraint defining an auxiliary.
status of lower/upper bound of a variable, to be checked/modified in bound tightening
general include file for different compilers
pos
position where the operator should be printed when printing the expression
CouNumber safe_pow(CouNumber base, CouNumber exponent, bool signpower=false)
compute power and check for integer-and-odd inverse exponent
double CouNumber
main number type in Couenne
void addPowEnvelope(const CouenneCutGenerator *, OsiCuts &, int, int, CouNumber, CouNumber, CouNumber, CouNumber, CouNumber, int, bool=false)
add upper/lower envelope to power in convex/concave areas
CouNumber(* unary_function)(CouNumber)
unary function, used in all exprUnary
CouNumber powNewton(CouNumber, CouNumber, unary_function, unary_function, unary_function)
find proper tangent point to add deepest tangent cut
expr_type
code returned by the method expression::code()