Couenne  0.2
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Pages
CouenneExprCos.hpp
Go to the documentation of this file.
1 /* $Id: CouenneExprCos.hpp 615 2011-06-08 20:36:24Z pbelotti $
2  *
3  * Name: exprCos.hpp
4  * Author: Pietro Belotti
5  * Purpose: definition of cosine
6  *
7  * (C) Carnegie-Mellon University, 2006-10.
8  * This file is licensed under the Eclipse Public License (EPL)
9  */
10 
11 #ifndef COUENNE_EXPRCOS_HPP
12 #define COUENNE_EXPRCOS_HPP
13 
14 #include "CouenneExprSin.hpp"
15 
16 namespace Couenne {
17 
19 
20 class exprCos: public exprUnary {
21 
22  public:
23 
26  exprUnary (al) {}
27 
29  expression *clone (Domain *d = NULL) const
30  {return new exprCos (argument_ -> clone (d));}
31 
33  inline unary_function F ()
34  {return cos;}
35 
37  std::string printOp () const
38  {return "cos";}
39 
41  inline CouNumber gradientNorm (const double *x) {
42  return (argument_ -> Index () < 0) ?
43  0. : fabs (sin (x [argument_ -> Index ()]));
44  }
45 
47  expression *differentiate (int index);
48 
50  void getBounds (expression *&, expression *&);
51 
53  void getBounds (CouNumber &lb, CouNumber &ub);
54 
56  void generateCuts (expression *w, //const OsiSolverInterface &si,
57  OsiCuts &cs, const CouenneCutGenerator *cg,
58  t_chg_bounds * = NULL, int = -1,
61 
63  virtual enum expr_type code ()
64  {return COU_EXPRCOS;}
65 
67  bool impliedBound (int index, CouNumber *l, CouNumber *u, t_chg_bounds *chg, enum auxSign = expression::AUX_EQ) {
68 
69  bool impl = trigImpliedBound (COU_COSINE, index, argument_ -> Index (), l, u, chg);
70 
71  if (impl && argument_ -> isInteger ()) {
72 
73  int ind = argument_ -> Index ();
74  assert (ind >= 0);
75  l [ind] = ceil (l [ind] - COUENNE_EPS);
76  u [ind] = floor (u [ind] + COUENNE_EPS);
77  }
78 
79  return impl;
80  }
81 
84  virtual CouNumber selectBranch (const CouenneObject *obj,
85  const OsiBranchingInformation *info,
86  expression * &var,
87  double * &brpts,
88  double * &brDist, // distance of current LP
89  // point to new convexifications
90  int &way)
91  {return trigSelBranch (obj, info, var, brpts, brDist, way, COU_COSINE);}
92 
94  virtual void closestFeasible (expression *varind, expression *vardep,
95  CouNumber& left, CouNumber& right) const;
96 
99  virtual bool isCuttable (CouenneProblem *problem, int index) const
100  {return false;}
101 
103  //virtual enum convexity convexity () const;
104 };
105 
106 
109 
110 }
111 
112 #endif
Cut Generator for linear convexifications.
exprCos(expression *al)
constructor, destructor
class cosine,
OsiObject for auxiliary variables $w=f(x)$.
std::string printOp() const
print operator
status of lower/upper bound of a variable, to be checked/modified in bound tightening ...
virtual bool isInteger()
is this expression integer?
virtual enum expr_type code()
code for comparisons
bool impliedBound(int index, CouNumber *l, CouNumber *u, t_chg_bounds *chg, enum auxSign=expression::AUX_EQ)
implied bound processing
CouNumber trigSelBranch(const CouenneObject *obj, const OsiBranchingInformation *info, expression *&var, double *&brpts, double *&brDist, int &way, enum cou_trig type)
generalized procedure for both sine and cosine
expression * argument_
single argument taken by this expression
bool trigImpliedBound(enum cou_trig, int, int, CouNumber *, CouNumber *, t_chg_bounds *)
generalized implied bound procedure for sine/cosine
expression class for unary functions (sin, log, etc.)
unary_function F()
the operator itself (e.g. sin, log...)
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 int Index() const
Return index of variable (only valid for exprVar and exprAux)
auxSign
&quot;sign&quot; of the constraint defining an auxiliary.
expression * clone(Domain *d=NULL) const
cloning method
CouNumber(* unary_function)(CouNumber)
unary function, used in all exprUnary
CouNumber gradientNorm(const double *x)
return l-2 norm of gradient at given point
virtual bool isCuttable(CouenneProblem *problem, int index) const
can this expression be further linearized or are we on its concave (&quot;bad&quot;) side
Class for MINLP problems with symbolic information.
#define COUENNE_EPS
double CouNumber
main number type in Couenne
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&#39;s arguments...
#define COUENNE_INFINITY
CouNumber trigNewton(CouNumber, CouNumber, CouNumber)
common convexification method used by both cos and sin
expr_type
code returned by the method expression::code()
virtual void closestFeasible(expression *varind, expression *vardep, CouNumber &left, CouNumber &right) const
closest feasible points in function in both directions
Expression base class.
CouExpr & cos(CouExpr &e)
expression * differentiate(int index)
obtain derivative of expression
CouExpr & sin(CouExpr &e)
void getBounds(expression *&, expression *&)
Get lower and upper bound of an expression (if any)
Define a dynamic point+bounds, with a way to save and restore previous points+bounds through a LIFO s...