Public Member Functions |
| Artificial_Parameter () |
| Default constructor: builds a zero artificial parameter.
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| Artificial_Parameter (const Linear_Expression &expr, Coefficient_traits::const_reference d) |
| Constructor.
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| Artificial_Parameter (const Artificial_Parameter &y) |
| Copy constructor.
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Coefficient_traits::const_reference | denominator () const |
| Returns the normalized (i.e., positive) denominator.
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void | m_swap (Artificial_Parameter &y) |
| Swaps *this with y .
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bool | operator== (const Artificial_Parameter &y) const |
| Returns true if and only if *this and y are equal.
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bool | operator!= (const Artificial_Parameter &y) const |
| Returns true if and only if *this and y are different.
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void | ascii_dump () const |
| Writes to std::cerr an ASCII representation of *this .
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void | ascii_dump (std::ostream &s) const |
| Writes to s an ASCII representation of *this .
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void | print () const |
| Prints *this to std::cerr using operator<< .
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bool | ascii_load (std::istream &s) |
| Loads from s an ASCII representation (as produced by ascii_dump(std::ostream&) const) and sets *this accordingly. Returns true if successful, false otherwise.
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memory_size_type | total_memory_in_bytes () const |
| Returns the total size in bytes of the memory occupied by *this .
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memory_size_type | external_memory_in_bytes () const |
| Returns the size in bytes of the memory managed by *this .
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bool | OK () const |
| Returns true if and only if the parameter is well-formed.
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| Linear_Expression (Representation r=default_representation) |
| Default constructor: returns a copy of Linear_Expression::zero().
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| Linear_Expression (const Linear_Expression &e) |
| Linear_Expression (const Linear_Expression &e, Representation r) |
| Copy constructor that takes also a Representation.
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template<typename Expression > |
| Linear_Expression (const Expression_Hide_Inhomo< Expression > &e) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Inhomo< Expression > &e, Representation r) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Inhomo< Expression > &e, dimension_type space_dim) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Inhomo< Expression > &e, dimension_type space_dim, Representation r) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Last< Expression > &e) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Last< Expression > &e, Representation r) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Last< Expression > &e, dimension_type space_dim) |
template<typename Expression > |
| Linear_Expression (const Expression_Hide_Last< Expression > &e, dimension_type space_dim, Representation r) |
| ~Linear_Expression () |
| Destructor.
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| Linear_Expression (Coefficient_traits::const_reference n, Representation r=default_representation) |
| Builds the linear expression corresponding to the inhomogeneous term n .
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| Linear_Expression (Variable v, Representation r=default_representation) |
| Builds the linear expression corresponding to the variable v .
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| Linear_Expression (const Constraint &c) |
| Builds the linear expression corresponding to constraint c .
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| Linear_Expression (const Constraint &c, Representation r) |
| Builds the linear expression corresponding to constraint c .
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| Linear_Expression (const Generator &g) |
| Builds the linear expression corresponding to generator g (for points and closure points, the divisor is not copied).
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| Linear_Expression (const Generator &g, Representation r) |
| Builds the linear expression corresponding to generator g (for points and closure points, the divisor is not copied).
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| Linear_Expression (const Grid_Generator &g) |
| Builds the linear expression corresponding to grid generator g (for points, parameters and lines the divisor is not copied).
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| Linear_Expression (const Grid_Generator &g, Representation r) |
| Builds the linear expression corresponding to grid generator g (for points, parameters and lines the divisor is not copied).
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| Linear_Expression (const Congruence &cg) |
| Builds the linear expression corresponding to congruence cg .
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| Linear_Expression (const Congruence &cg, Representation r) |
| Builds the linear expression corresponding to congruence cg .
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Representation | representation () const |
| Returns the current representation of *this.
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void | set_representation (Representation r) |
| Converts *this to the specified representation.
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const_iterator | begin () const |
const_iterator | end () const |
const_iterator | lower_bound (Variable v) const |
dimension_type | space_dimension () const |
| Returns the dimension of the vector space enclosing *this .
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void | set_space_dimension (dimension_type n) |
| Sets the dimension of the vector space enclosing *this to n .
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Coefficient_traits::const_reference | coefficient (Variable v) const |
| Returns the coefficient of v in *this .
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void | set_coefficient (Variable v, Coefficient_traits::const_reference n) |
| Sets the coefficient of v in *this to n .
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Coefficient_traits::const_reference | inhomogeneous_term () const |
| Returns the inhomogeneous term of *this .
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void | set_inhomogeneous_term (Coefficient_traits::const_reference n) |
| Sets the inhomogeneous term of *this to n .
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void | linear_combine (const Linear_Expression &y, Variable v) |
void | linear_combine (const Linear_Expression &y, Coefficient_traits::const_reference c1, Coefficient_traits::const_reference c2) |
void | linear_combine_lax (const Linear_Expression &y, Coefficient_traits::const_reference c1, Coefficient_traits::const_reference c2) |
void | swap_space_dimensions (Variable v1, Variable v2) |
| Swaps the coefficients of the variables v1 and v2 .
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void | remove_space_dimensions (const Variables_Set &vars) |
| Removes all the specified dimensions from the expression.
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void | shift_space_dimensions (Variable v, dimension_type n) |
void | permute_space_dimensions (const std::vector< Variable > &cycle) |
| Permutes the space dimensions of the expression.
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bool | is_zero () const |
| Returns true if and only if *this is .
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bool | all_homogeneous_terms_are_zero () const |
| Returns true if and only if all the homogeneous terms of *this are .
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void | m_swap (Linear_Expression &y) |
| Swaps *this with y .
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| Linear_Expression (const Linear_Expression &e, dimension_type space_dim) |
| Copy constructor with a specified space dimension.
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| Linear_Expression (const Linear_Expression &e, dimension_type space_dim, Representation r) |
| Copy constructor with a specified space dimension and representation.
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bool | is_equal_to (const Linear_Expression &x) const |
void | normalize () |
void | sign_normalize () |
bool | all_zeroes (const Variables_Set &vars) const |
| Returns true if the coefficient of each variable in vars [i] is .
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Related Functions |
(Note that these are not member functions.)
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void | swap (PIP_Tree_Node::Artificial_Parameter &x, PIP_Tree_Node::Artificial_Parameter &y) |
| Swaps x with y .
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std::ostream & | operator<< (std::ostream &os, const PIP_Tree_Node::Artificial_Parameter &x) |
| Output operator.
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void | swap (PIP_Tree_Node::Artificial_Parameter &x, PIP_Tree_Node::Artificial_Parameter &y) |
Linear_Expression | operator+ (const Linear_Expression &e1, const Linear_Expression &e2) |
| Returns the linear expression e1 + e2 .
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Linear_Expression | operator+ (Variable v, Variable w) |
| Returns the linear expression v + w .
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Linear_Expression | operator+ (Variable v, const Linear_Expression &e) |
| Returns the linear expression v + e .
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Linear_Expression | operator+ (const Linear_Expression &e, Variable v) |
| Returns the linear expression e + v .
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Linear_Expression | operator+ (Coefficient_traits::const_reference n, const Linear_Expression &e) |
| Returns the linear expression n + e .
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Linear_Expression | operator+ (const Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression e + n .
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Linear_Expression | operator+ (const Linear_Expression &e) |
| Returns the linear expression e .
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Linear_Expression | operator- (const Linear_Expression &e) |
| Returns the linear expression - e .
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Linear_Expression | operator- (const Linear_Expression &e1, const Linear_Expression &e2) |
| Returns the linear expression e1 - e2 .
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Linear_Expression | operator- (Variable v, Variable w) |
| Returns the linear expression v - w .
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Linear_Expression | operator- (Variable v, const Linear_Expression &e) |
| Returns the linear expression v - e .
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Linear_Expression | operator- (const Linear_Expression &e, Variable v) |
| Returns the linear expression e - v .
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Linear_Expression | operator- (Coefficient_traits::const_reference n, const Linear_Expression &e) |
| Returns the linear expression n - e .
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Linear_Expression | operator- (const Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression e - n .
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Linear_Expression | operator* (Coefficient_traits::const_reference n, const Linear_Expression &e) |
| Returns the linear expression n * e .
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Linear_Expression | operator* (const Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression e * n .
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Linear_Expression & | operator+= (Linear_Expression &e1, const Linear_Expression &e2) |
| Returns the linear expression e1 + e2 and assigns it to e1 .
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Linear_Expression & | operator+= (Linear_Expression &e, Variable v) |
| Returns the linear expression e + v and assigns it to e .
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Linear_Expression & | operator+= (Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression e + n and assigns it to e .
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Linear_Expression & | operator-= (Linear_Expression &e1, const Linear_Expression &e2) |
| Returns the linear expression e1 - e2 and assigns it to e1 .
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Linear_Expression & | operator-= (Linear_Expression &e, Variable v) |
| Returns the linear expression e - v and assigns it to e .
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Linear_Expression & | operator-= (Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression e - n and assigns it to e .
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Linear_Expression & | operator*= (Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression n * e and assigns it to e .
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Linear_Expression & | operator/= (Linear_Expression &e, Coefficient_traits::const_reference n) |
| Returns the linear expression n / e and assigns it to e .
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void | neg_assign (Linear_Expression &e) |
| Assigns to e its own negation.
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Linear_Expression & | add_mul_assign (Linear_Expression &e, Coefficient_traits::const_reference n, Variable v) |
| Returns the linear expression e + n * v and assigns it to e .
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void | add_mul_assign (Linear_Expression &e1, Coefficient_traits::const_reference factor, const Linear_Expression &e2) |
| Sums e2 multiplied by factor into e1 .
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void | sub_mul_assign (Linear_Expression &e1, Coefficient_traits::const_reference factor, const Linear_Expression &e2) |
| Subtracts e2 multiplied by factor from e1 .
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Linear_Expression & | sub_mul_assign (Linear_Expression &e, Coefficient_traits::const_reference n, Variable v) |
| Returns the linear expression e - n * v and assigns it to e .
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std::ostream & | operator<< (std::ostream &s, const Linear_Expression &e) |
| Output operator.
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void | swap (Linear_Expression &x, Linear_Expression &y) |
| Swaps x with y .
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Linear_Expression | operator+ (const Linear_Expression &e) |
Linear_Expression | operator+ (const Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression | operator+ (const Linear_Expression &e, const Variable v) |
Linear_Expression | operator- (const Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression | operator- (const Variable v, const Variable w) |
Linear_Expression | operator* (const Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression & | operator+= (Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression & | operator-= (Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression | operator+ (const Linear_Expression &e1, const Linear_Expression &e2) |
Linear_Expression | operator+ (const Variable v, const Linear_Expression &e) |
Linear_Expression | operator+ (Coefficient_traits::const_reference n, const Linear_Expression &e) |
Linear_Expression | operator+ (const Variable v, const Variable w) |
Linear_Expression | operator- (const Linear_Expression &e) |
Linear_Expression | operator- (const Linear_Expression &e1, const Linear_Expression &e2) |
Linear_Expression | operator- (const Variable v, const Linear_Expression &e) |
Linear_Expression | operator- (const Linear_Expression &e, const Variable v) |
Linear_Expression | operator- (Coefficient_traits::const_reference n, const Linear_Expression &e) |
Linear_Expression | operator* (Coefficient_traits::const_reference n, const Linear_Expression &e) |
Linear_Expression & | operator+= (Linear_Expression &e1, const Linear_Expression &e2) |
Linear_Expression & | operator+= (Linear_Expression &e, const Variable v) |
Linear_Expression & | operator-= (Linear_Expression &e1, const Linear_Expression &e2) |
Linear_Expression & | operator-= (Linear_Expression &e, const Variable v) |
Linear_Expression & | operator*= (Linear_Expression &e, Coefficient_traits::const_reference n) |
Linear_Expression & | operator/= (Linear_Expression &e, Coefficient_traits::const_reference n) |
void | neg_assign (Linear_Expression &e) |
Linear_Expression & | add_mul_assign (Linear_Expression &e, Coefficient_traits::const_reference n, const Variable v) |
Linear_Expression & | sub_mul_assign (Linear_Expression &e, Coefficient_traits::const_reference n, const Variable v) |
std::ostream & | operator<< (std::ostream &s, const Linear_Expression &e) |
void | swap (Linear_Expression &x, Linear_Expression &y) |
Artificial parameters in PIP solution trees.
These parameters are built from a linear expression combining other parameters (constant term included) divided by a positive integer denominator. Coefficients at variables indices corresponding to PIP problem variables are always zero.