Version Checking | |
#define | PPL_VERSION_MAJOR 0 |
The major number of the PPL version. | |
#define | PPL_VERSION_MINOR 9 |
The minor number of the PPL version. | |
#define | PPL_VERSION_REVISION 0 |
The revision number of the PPL version. | |
#define | PPL_VERSION_BETA 0 |
The beta number of the PPL version. This is zero for official releases and nonzero for development snapshots. | |
#define | PPL_VERSION "0.9" |
A string containing the PPL version. | |
int | ppl_version_major (void) |
Returns the major number of the PPL version. | |
int | ppl_version_minor (void) |
Returns the minor number of the PPL version. | |
int | ppl_version_revision (void) |
Returns the revision number of the PPL version. | |
int | ppl_version_beta (void) |
Returns the beta number of the PPL version. | |
int | ppl_version (const char **p) |
Writes to *p a pointer to a character string containing the PPL version. | |
int | ppl_banner (const char **p) |
Writes to *p a pointer to a character string containing the PPL banner. | |
Simple I/O Functions | |
typedef const char * | ppl_io_variable_output_function_type (ppl_dimension_type var) |
The type of output functions used for printing variables. | |
int | ppl_io_print_variable (ppl_dimension_type var) |
Pretty-prints var to stdout . | |
int | ppl_io_fprint_variable (FILE *stream, ppl_dimension_type var) |
Pretty-prints var to the given output stream . | |
int | ppl_io_set_variable_output_function (ppl_io_variable_output_function_type *p) |
Sets the output function to be used for printing variables to p . | |
int | ppl_io_get_variable_output_function (ppl_io_variable_output_function_type **pp) |
Writes a pointer to the current variable output function to pp . | |
Initialization, Error Handling and Auxiliary Functions | |
int | ppl_max_space_dimension (ppl_dimension_type *m) |
Writes to m the maximum space dimension this library can handle. | |
int | ppl_not_a_dimension (ppl_dimension_type *m) |
Writes to m a value that does not designate a valid dimension. | |
int | ppl_initialize (void) |
Initializes the Parma Polyhedra Library. This function must be called before any other function. | |
int | ppl_finalize (void) |
Finalizes the Parma Polyhedra Library. This function must be called after any other function. | |
int | ppl_set_error_handler (void(*h)(enum ppl_enum_error_code code, const char *description)) |
Installs the user-defined error handler pointed at by h . | |
Functions Related to Coefficients | |
int | ppl_new_Coefficient (ppl_Coefficient_t *pc) |
Creates a new coefficient with value 0 and writes a handle for the newly created coefficient at address pc . | |
int | ppl_new_Coefficient_from_mpz_t (ppl_Coefficient_t *pc, mpz_t z) |
Creates a new coefficient with the value given by the GMP integer z and writes a handle for the newly created coefficient at address pc . | |
int | ppl_new_Coefficient_from_Coefficient (ppl_Coefficient_t *pc, ppl_const_Coefficient_t c) |
Builds a coefficient that is a copy of c ; writes a handle for the newly created coefficient at address pc . | |
int | ppl_assign_Coefficient_from_mpz_t (ppl_Coefficient_t dst, mpz_t z) |
Assign to dst the value given by the GMP integer z . | |
int | ppl_assign_Coefficient_from_Coefficient (ppl_Coefficient_t dst, ppl_const_Coefficient_t src) |
Assigns a copy of the coefficient src to dst . | |
int | ppl_delete_Coefficient (ppl_const_Coefficient_t c) |
Invalidates the handle c: this makes sure the corresponding resources will eventually be released. | |
int | ppl_Coefficient_to_mpz_t (ppl_const_Coefficient_t c, mpz_t z) |
Sets the value of the GMP integer z to the value of c . | |
int | ppl_Coefficient_OK (ppl_const_Coefficient_t c) |
Returns a positive integer if c is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if c is broken. Useful for debugging purposes. | |
int | ppl_Coefficient_is_bounded (void) |
Returns a positive integer if coefficients are bounded; returns 0 otherwise. | |
int | ppl_Coefficient_min (mpz_t min) |
Returns a positive integer if coefficients are bounded, in which case min is set to their minimum value; returns 0 otherwise. | |
int | ppl_Coefficient_max (mpz_t max) |
Returns a positive integer if coefficients are bounded, in which case max is set to their maximum value; returns 0 otherwise. | |
Functions Related to Linear Expressions | |
int | ppl_new_Linear_Expression (ppl_Linear_Expression_t *ple) |
Creates a new linear expression corresponding to the constant 0 in a zero-dimensional space; writes a handle for the new linear expression at address ple . | |
int | ppl_new_Linear_Expression_with_dimension (ppl_Linear_Expression_t *ple, ppl_dimension_type d) |
Creates a new linear expression corresponding to the constant 0 in a d -dimensional space; writes a handle for the new linear expression at address ple . | |
int | ppl_new_Linear_Expression_from_Linear_Expression (ppl_Linear_Expression_t *ple, ppl_const_Linear_Expression_t le) |
Builds a linear expression that is a copy of le ; writes a handle for the newly created linear expression at address ple . | |
int | ppl_new_Linear_Expression_from_Constraint (ppl_Linear_Expression_t *ple, ppl_const_Constraint_t c) |
Builds a linear expression corresponding to constraint c ; writes a handle for the newly created linear expression at address ple . | |
int | ppl_new_Linear_Expression_from_Generator (ppl_Linear_Expression_t *ple, ppl_const_Generator_t g) |
Builds a linear expression corresponding to generator g ; writes a handle for the newly created linear expression at address ple . | |
int | ppl_delete_Linear_Expression (ppl_const_Linear_Expression_t le) |
Invalidates the handle le: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Linear_Expression_from_Linear_Expression (ppl_Linear_Expression_t dst, ppl_const_Linear_Expression_t src) |
Assigns a copy of the linear expression src to dst . | |
int | ppl_Linear_Expression_add_to_coefficient (ppl_Linear_Expression_t le, ppl_dimension_type var, ppl_const_Coefficient_t n) |
Adds n to the coefficient of variable var in the linear expression le . The space dimension is set to be the maximum between var + 1 and the old space dimension. | |
int | ppl_Linear_Expression_add_to_inhomogeneous (ppl_Linear_Expression_t le, ppl_const_Coefficient_t n) |
Adds n to the inhomogeneous term of the linear expression le . | |
int | ppl_add_Linear_Expression_to_Linear_Expression (ppl_Linear_Expression_t dst, ppl_const_Linear_Expression_t src) |
Adds the linear expression src to dst . | |
int | ppl_subtract_Linear_Expression_from_Linear_Expression (ppl_Linear_Expression_t dst, ppl_const_Linear_Expression_t src) |
Subtracts the linear expression src from dst . | |
int | ppl_multiply_Linear_Expression_by_Coefficient (ppl_Linear_Expression_t le, ppl_const_Coefficient_t n) |
Multiply the linear expression dst by n . | |
int | ppl_Linear_Expression_space_dimension (ppl_const_Linear_Expression_t le, ppl_dimension_type *m) |
Writes to m the space dimension of le . | |
int | ppl_Linear_Expression_coefficient (ppl_const_Linear_Expression_t le, ppl_dimension_type var, ppl_Coefficient_t n) |
Copies into n the coefficient of variable var in the linear expression le . | |
int | ppl_Linear_Expression_inhomogeneous_term (ppl_const_Linear_Expression_t le, ppl_Coefficient_t n) |
Copies into n the inhomogeneous term of linear expression le . | |
int | ppl_Linear_Expression_OK (ppl_const_Linear_Expression_t le) |
Returns a positive integer if le is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if le is broken. Useful for debugging purposes. | |
Functions Related to Constraints | |
int | ppl_new_Constraint (ppl_Constraint_t *pc, ppl_const_Linear_Expression_t le, enum ppl_enum_Constraint_Type rel) |
Creates the new constraint `le rel 0' and writes a handle for it at address pc . The space dimension of the new constraint is equal to the space dimension of le . | |
int | ppl_new_Constraint_zero_dim_false (ppl_Constraint_t *pc) |
Creates the unsatisfiable (zero-dimension space) constraint ![]() pc . | |
int | ppl_new_Constraint_zero_dim_positivity (ppl_Constraint_t *pc) |
Creates the true (zero-dimension space) constraint ![]() pc . | |
int | ppl_new_Constraint_from_Constraint (ppl_Constraint_t *pc, ppl_const_Constraint_t c) |
Builds a constraint that is a copy of c ; writes a handle for the newly created constraint at address pc . | |
int | ppl_delete_Constraint (ppl_const_Constraint_t c) |
Invalidates the handle c: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Constraint_from_Constraint (ppl_Constraint_t dst, ppl_const_Constraint_t src) |
Assigns a copy of the constraint src to dst . | |
int | ppl_Constraint_space_dimension (ppl_const_Constraint_t c, ppl_dimension_type *m) |
Writes to m the space dimension of c . | |
int | ppl_Constraint_type (ppl_const_Constraint_t c) |
Returns the type of constraint c . | |
int | ppl_Constraint_coefficient (ppl_const_Constraint_t c, ppl_dimension_type var, ppl_Coefficient_t n) |
Copies into n the coefficient of variable var in constraint c . | |
int | ppl_Constraint_inhomogeneous_term (ppl_const_Constraint_t c, ppl_Coefficient_t n) |
Copies into n the inhomogeneous term of constraint c . | |
int | ppl_Constraint_OK (ppl_const_Constraint_t c) |
Returns a positive integer if c is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if c is broken. Useful for debugging purposes. | |
Functions Related to Constraint Systems | |
int | ppl_new_Constraint_System (ppl_Constraint_System_t *pcs) |
Builds an empty system of constraints and writes a handle to it at address pcs . | |
int | ppl_new_Constraint_System_zero_dim_empty (ppl_Constraint_System_t *pcs) |
Builds a zero-dimensional, unsatisfiable constraint system and writes a handle to it at address pcs . | |
int | ppl_new_Constraint_System_from_Constraint (ppl_Constraint_System_t *pcs, ppl_const_Constraint_t c) |
Builds the singleton constraint system containing only a copy of constraint c ; writes a handle for the newly created system at address pcs . | |
int | ppl_new_Constraint_System_from_Constraint_System (ppl_Constraint_System_t *pcs, ppl_const_Constraint_System_t cs) |
Builds a constraint system that is a copy of cs ; writes a handle for the newly created system at address pcs . | |
int | ppl_delete_Constraint_System (ppl_const_Constraint_System_t cs) |
Invalidates the handle cs: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Constraint_System_from_Constraint_System (ppl_Constraint_System_t dst, ppl_const_Constraint_System_t src) |
Assigns a copy of the constraint system src to dst . | |
int | ppl_Constraint_System_space_dimension (ppl_const_Constraint_System_t cs, ppl_dimension_type *m) |
Writes to m the dimension of the vector space enclosing cs . | |
int | ppl_Constraint_System_has_strict_inequalities (ppl_const_Constraint_System_t cs) |
Returns a positive integer if cs contains any (non-trivial) strict inequality; returns 0 otherwise. | |
int | ppl_Constraint_System_clear (ppl_Constraint_System_t cs) |
Removes all the constraints from the constraint system cs and sets its space dimension to 0. | |
int | ppl_Constraint_System_insert_Constraint (ppl_Constraint_System_t cs, ppl_const_Constraint_t c) |
Inserts a copy of the constraint c into cs ; the space dimension is increased, if necessary. | |
int | ppl_Constraint_System_OK (ppl_const_Constraint_System_t c) |
Returns a positive integer if cs is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if cs is broken. Useful for debugging purposes. | |
int | ppl_new_Constraint_System_const_iterator (ppl_Constraint_System_const_iterator_t *pcit) |
Builds a new `const iterator' and writes a handle to it at address pcit . | |
int | ppl_new_Constraint_System_const_iterator_from_Constraint_System_const_iterator (ppl_Constraint_System_const_iterator_t *pcit, ppl_const_Constraint_System_const_iterator_t cit) |
Builds a const iterator that is a copy of cit ; writes an handle for the newly created const iterator at address pcit . | |
int | ppl_delete_Constraint_System_const_iterator (ppl_const_Constraint_System_const_iterator_t cit) |
Invalidates the handle cit: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Constraint_System_const_iterator_from_Constraint_System_const_iterator (ppl_Constraint_System_const_iterator_t dst, ppl_const_Constraint_System_const_iterator_t src) |
Assigns a copy of the const iterator src to dst . | |
int | ppl_Constraint_System_begin (ppl_const_Constraint_System_t cs, ppl_Constraint_System_const_iterator_t cit) |
Assigns to cit a const iterator "pointing" to the beginning of the constraint system cs . | |
int | ppl_Constraint_System_end (ppl_const_Constraint_System_t cs, ppl_Constraint_System_const_iterator_t cit) |
Assigns to cit a const iterator "pointing" past the end of the constraint system cs . | |
int | ppl_Constraint_System_const_iterator_dereference (ppl_const_Constraint_System_const_iterator_t cit, ppl_const_Constraint_t *pc) |
Dereference cit writing a const handle to the resulting constraint at address pc . | |
int | ppl_Constraint_System_const_iterator_increment (ppl_Constraint_System_const_iterator_t cit) |
Increment cit so that it "points" to the next constraint. | |
int | ppl_Constraint_System_const_iterator_equal_test (ppl_const_Constraint_System_const_iterator_t x, ppl_const_Constraint_System_const_iterator_t y) |
Returns a positive integer if the iterators corresponding to x and y are equal; returns 0 if they are different. | |
Functions Related to Generators | |
int | ppl_new_Generator (ppl_Generator_t *pg, ppl_const_Linear_Expression_t le, enum ppl_enum_Generator_Type t, ppl_const_Coefficient_t d) |
Creates a new generator of direction le and type t . If the generator to be created is a point or a closure point, the divisor d is applied to le . For other types of generators d is simply disregarded. A handle for the new generator is written at address pg . The space dimension of the new generator is equal to the space dimension of le . | |
int | ppl_new_Generator_zero_dim_point (ppl_Generator_t *pg) |
Creates the point that is the origin of the zero-dimensional space ![]() pg . | |
int | ppl_new_Generator_zero_dim_closure_point (ppl_Generator_t *pg) |
Creates, as a closure point, the point that is the origin of the zero-dimensional space ![]() pg . | |
int | ppl_new_Generator_from_Generator (ppl_Generator_t *pg, ppl_const_Generator_t g) |
Builds a generator that is a copy of g ; writes a handle for the newly created generator at address pg . | |
int | ppl_delete_Generator (ppl_const_Generator_t g) |
Invalidates the handle g: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Generator_from_Generator (ppl_Generator_t dst, ppl_const_Generator_t src) |
Assigns a copy of the generator src to dst . | |
int | ppl_Generator_space_dimension (ppl_const_Generator_t g, ppl_dimension_type *m) |
Writes to m the space dimension of g . | |
int | ppl_Generator_type (ppl_const_Generator_t g) |
Returns the type of generator g . | |
int | ppl_Generator_coefficient (ppl_const_Generator_t g, ppl_dimension_type var, ppl_Coefficient_t n) |
Copies into n the coefficient of variable var in generator g . | |
int | ppl_Generator_divisor (ppl_const_Generator_t g, ppl_Coefficient_t n) |
If g is a point or a closure point assigns its divisor to n . | |
int | ppl_Generator_OK (ppl_const_Generator_t g) |
Returns a positive integer if g is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if g is broken. Useful for debugging purposes. | |
Functions Related to Generator Systems | |
int | ppl_new_Generator_System (ppl_Generator_System_t *pgs) |
Builds an empty system of generators and writes a handle to it at address pgs . | |
int | ppl_new_Generator_System_from_Generator (ppl_Generator_System_t *pgs, ppl_const_Generator_t g) |
Builds the singleton generator system containing only a copy of generator g ; writes a handle for the newly created system at address pgs . | |
int | ppl_new_Generator_System_from_Generator_System (ppl_Generator_System_t *pgs, ppl_const_Generator_System_t gs) |
Builds a generator system that is a copy of gs ; writes a handle for the newly created system at address pgs . | |
int | ppl_delete_Generator_System (ppl_const_Generator_System_t gs) |
Invalidates the handle gs: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Generator_System_from_Generator_System (ppl_Generator_System_t dst, ppl_const_Generator_System_t src) |
Assigns a copy of the generator system src to dst . | |
int | ppl_Generator_System_space_dimension (ppl_const_Generator_System_t gs, ppl_dimension_type *m) |
Writes to m the dimension of the vector space enclosing gs . | |
int | ppl_Generator_System_clear (ppl_Generator_System_t gs) |
Removes all the generators from the generator system gs and sets its space dimension to 0. | |
int | ppl_Generator_System_insert_Generator (ppl_Generator_System_t gs, ppl_const_Generator_t g) |
Inserts a copy of the generator g into gs ; the space dimension is increased, if necessary. | |
int | ppl_Generator_System_OK (ppl_const_Generator_System_t c) |
Returns a positive integer if gs is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if gs is broken. Useful for debugging purposes. | |
int | ppl_new_Generator_System_const_iterator (ppl_Generator_System_const_iterator_t *pgit) |
Builds a new `const iterator' and writes a handle to it at address pgit . | |
int | ppl_new_Generator_System_const_iterator_from_Generator_System_const_iterator (ppl_Generator_System_const_iterator_t *pgit, ppl_const_Generator_System_const_iterator_t git) |
Builds a const iterator that is a copy of git ; writes an handle for the newly created const iterator at address pgit . | |
int | ppl_delete_Generator_System_const_iterator (ppl_const_Generator_System_const_iterator_t git) |
Invalidates the handle git: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_Generator_System_const_iterator_from_Generator_System_const_iterator (ppl_Generator_System_const_iterator_t dst, ppl_const_Generator_System_const_iterator_t src) |
Assigns a copy of the const iterator src to dst . | |
int | ppl_Generator_System_begin (ppl_const_Generator_System_t gs, ppl_Generator_System_const_iterator_t git) |
Assigns to git a const iterator "pointing" to the beginning of the generator system gs . | |
int | ppl_Generator_System_end (ppl_const_Generator_System_t gs, ppl_Generator_System_const_iterator_t git) |
Assigns to git a const iterator "pointing" past the end of the generator system gs . | |
int | ppl_Generator_System_const_iterator_dereference (ppl_const_Generator_System_const_iterator_t git, ppl_const_Generator_t *pg) |
Dereference git writing a const handle to the resulting generator at address pg . | |
int | ppl_Generator_System_const_iterator_increment (ppl_Generator_System_const_iterator_t git) |
Increment git so that it "points" to the next generator. | |
int | ppl_Generator_System_const_iterator_equal_test (ppl_const_Generator_System_const_iterator_t x, ppl_const_Generator_System_const_iterator_t y) |
Returns a positive integer if the iterators corresponding to x and y are equal; returns 0 if they are different. | |
Functions Related to Polyhedra | |
int | ppl_new_C_Polyhedron_from_dimension (ppl_Polyhedron_t *pph, ppl_dimension_type d) |
Builds a universe C polyhedron of dimension d and writes an handle to it at address pph . | |
int | ppl_new_NNC_Polyhedron_from_dimension (ppl_Polyhedron_t *pph, ppl_dimension_type d) |
Builds a universe NNC polyhedron of dimension d and writes an handle to it at address pph . | |
int | ppl_new_C_Polyhedron_empty_from_dimension (ppl_Polyhedron_t *pph, ppl_dimension_type d) |
Builds an empty C polyhedron of space dimension d and writes an handle to it at address pph . | |
int | ppl_new_NNC_Polyhedron_empty_from_dimension (ppl_Polyhedron_t *pph, ppl_dimension_type d) |
Builds an empty NNC polyhedron of space dimension d and writes an handle to it at address pph . | |
int | ppl_new_C_Polyhedron_from_C_Polyhedron (ppl_Polyhedron_t *pph, ppl_const_Polyhedron_t ph) |
Builds a C polyhedron that is a copy of ph ; writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_from_NNC_Polyhedron (ppl_Polyhedron_t *pph, ppl_const_Polyhedron_t ph) |
Builds a C polyhedron that is a copy of of the NNC polyhedron ph ; writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_from_C_Polyhedron (ppl_Polyhedron_t *pph, ppl_const_Polyhedron_t ph) |
Builds an NNC polyhedron that is a copy of the C polyhedron ph ; writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_from_NNC_Polyhedron (ppl_Polyhedron_t *pph, ppl_const_Polyhedron_t ph) |
Builds an NNC polyhedron that is a copy of ph ; writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_from_Constraint_System (ppl_Polyhedron_t *pph, ppl_const_Constraint_System_t cs) |
Builds a new C polyhedron from the system of constraints cs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_recycle_Constraint_System (ppl_Polyhedron_t *pph, ppl_Constraint_System_t cs) |
Builds a new C polyhedron recycling the system of constraints cs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_from_Constraint_System (ppl_Polyhedron_t *pph, ppl_const_Constraint_System_t cs) |
Builds a new NNC polyhedron from the system of constraints cs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_recycle_Constraint_System (ppl_Polyhedron_t *pph, ppl_Constraint_System_t cs) |
Builds a new NNC polyhedron recycling the system of constraints cs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_from_Generator_System (ppl_Polyhedron_t *pph, ppl_const_Generator_System_t gs) |
Builds a new C polyhedron from the system of generators gs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_recycle_Generator_System (ppl_Polyhedron_t *pph, ppl_Generator_System_t gs) |
Builds a new C polyhedron recycling the system of generators gs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_from_Generator_System (ppl_Polyhedron_t *pph, ppl_const_Generator_System_t gs) |
Builds a new NNC polyhedron from the system of generators gs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_recycle_Generator_System (ppl_Polyhedron_t *pph, ppl_Generator_System_t gs) |
Builds a new NNC polyhedron recycling the system of generators gs and writes a handle for the newly created polyhedron at address pph . | |
int | ppl_new_C_Polyhedron_from_bounding_box (ppl_Polyhedron_t *pph, ppl_dimension_type(*space_dimension)(void), int(*is_empty)(void), int(*get_lower_bound)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d), int(*get_upper_bound)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)) |
Builds a new C polyhedron corresponding to an interval-based bounding box, writing a handle for the newly created polyhedron at address pph . | |
int | ppl_new_NNC_Polyhedron_from_bounding_box (ppl_Polyhedron_t *pph, ppl_dimension_type(*space_dimension)(void), int(*is_empty)(void), int(*get_lower_bound)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d), int(*get_upper_bound)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)) |
Builds a new NNC polyhedron corresponding to an interval-based bounding box, writing a handle for the newly created polyhedron at address pph . | |
int | ppl_assign_C_Polyhedron_from_C_Polyhedron (ppl_Polyhedron_t dst, ppl_const_Polyhedron_t src) |
Assigns a copy of the C polyhedron src to the C polyhedron dst . | |
int | ppl_assign_NNC_Polyhedron_from_NNC_Polyhedron (ppl_Polyhedron_t dst, ppl_const_Polyhedron_t src) |
Assigns a copy of the NNC polyhedron src to the NNC polyhedron dst . | |
int | ppl_delete_Polyhedron (ppl_const_Polyhedron_t ph) |
Invalidates the handle ph: this makes sure the corresponding resources will eventually be released. | |
int | ppl_Polyhedron_space_dimension (ppl_const_Polyhedron_t ph, ppl_dimension_type *m) |
Writes to m the dimension of the vector space enclosing ph . | |
int | ppl_Polyhedron_affine_dimension (ppl_const_Polyhedron_t ph) |
Writes to m the affine dimension of ph (not to be confused with the dimension of its enclosing vector space) or 0, if ph is empty. | |
int | ppl_Polyhedron_constraints (ppl_const_Polyhedron_t ph, ppl_const_Constraint_System_t *pcs) |
Writes a const handle to the constraint system defining the polyhedron ph at address pcs . | |
int | ppl_Polyhedron_minimized_constraints (ppl_const_Polyhedron_t ph, ppl_const_Constraint_System_t *pcs) |
Writes a const handle to the minimized constraint system defining the polyhedron ph at address pcs . | |
int | ppl_Polyhedron_generators (ppl_const_Polyhedron_t ph, ppl_const_Generator_System_t *pgs) |
Writes a const handle to the generator system defining the polyhedron ph at address pgs . | |
int | ppl_Polyhedron_minimized_generators (ppl_const_Polyhedron_t ph, ppl_const_Generator_System_t *pgs) |
Writes a const handle to the minimized generator system defining the polyhedron ph at address pgs . | |
int | ppl_Polyhedron_relation_with_Constraint (ppl_const_Polyhedron_t ph, ppl_const_Constraint_t c) |
Checks the relation between the polyhedron ph and the constraint c . | |
int | ppl_Polyhedron_relation_with_Generator (ppl_const_Polyhedron_t ph, ppl_const_Generator_t g) |
Checks the relation between the polyhedron ph and the generator g . | |
int | ppl_Polyhedron_shrink_bounding_box (ppl_const_Polyhedron_t ph, unsigned int complexity, void(*set_empty)(void), void(*raise_lower_bound)(ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d), void(*lower_upper_bound)(ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d)) |
Use ph to shrink a generic, interval-based bounding box. The bounding box is abstractly provided by means of the parameters. | |
int | ppl_Polyhedron_is_empty (ppl_const_Polyhedron_t ph) |
Returns a positive integer if ph is empty; returns 0 if ph is not empty. | |
int | ppl_Polyhedron_is_universe (ppl_const_Polyhedron_t ph) |
Returns a positive integer if ph is a universe polyhedron; returns 0 if it is not. | |
int | ppl_Polyhedron_is_bounded (ppl_const_Polyhedron_t ph) |
Returns a positive integer if ph is bounded; returns 0 if ph is unbounded. | |
int | ppl_Polyhedron_bounds_from_above (ppl_const_Polyhedron_t ph, ppl_const_Linear_Expression_t le) |
Returns a positive integer if le is bounded from above in ph ; returns 0 otherwise. | |
int | ppl_Polyhedron_bounds_from_below (ppl_const_Polyhedron_t ph, ppl_const_Linear_Expression_t le) |
Returns a positive integer if le is bounded from below in ph ; returns 0 otherwise. | |
int | ppl_Polyhedron_maximize (ppl_const_Polyhedron_t ph, ppl_const_Linear_Expression_t le, ppl_Coefficient_t sup_n, ppl_Coefficient_t sup_d, int *pmaximum, ppl_Generator_t point) |
Returns a positive integer if ph is not empty and le is bounded from above in ph , in which case the supremum value and a point where le reaches it are computed. | |
int | ppl_Polyhedron_minimize (ppl_const_Polyhedron_t ph, ppl_const_Linear_Expression_t le, ppl_Coefficient_t inf_n, ppl_Coefficient_t inf_d, int *pminimum, ppl_Generator_t point) |
Returns a positive integer if ph is not empty and le is bounded from below in ph , in which case the infimum value and a point where le reaches it are computed. | |
int | ppl_Polyhedron_is_topologically_closed (ppl_const_Polyhedron_t ph) |
Returns a positive integer if ph is topologically closed; returns 0 if ph is not topologically closed. | |
int | ppl_Polyhedron_contains_Polyhedron (ppl_const_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Returns a positive integer if x contains or is equal to y ; returns 0 if it does not. | |
int | ppl_Polyhedron_strictly_contains_Polyhedron (ppl_const_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Returns a positive integer if x strictly contains y ; returns 0 if it does not. | |
int | ppl_Polyhedron_is_disjoint_from_Polyhedron (ppl_const_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Returns a positive integer if x and y are disjoint; returns 0 if they are not. | |
int | ppl_Polyhedron_equals_Polyhedron (ppl_const_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Returns a positive integer if x and y are the same polyhedron; returns 0 if they are different. | |
int | ppl_Polyhedron_OK (ppl_const_Polyhedron_t ph) |
Returns a positive integer if ph is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if ph is broken. Useful for debugging purposes. | |
int | ppl_Polyhedron_add_constraint (ppl_Polyhedron_t ph, ppl_const_Constraint_t c) |
Adds a copy of the constraint c to the system of constraints of ph . | |
int | ppl_Polyhedron_add_constraint_and_minimize (ppl_Polyhedron_t ph, ppl_const_Constraint_t c) |
Adds a copy of the constraint c to the system of constraints of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_add_generator (ppl_Polyhedron_t ph, ppl_const_Generator_t g) |
Adds a copy of the generator g to the system of generators of ph . | |
int | ppl_Polyhedron_add_generator_and_minimize (ppl_Polyhedron_t ph, ppl_const_Generator_t g) |
Adds a copy of the generator g to the system of generators of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_add_constraints (ppl_Polyhedron_t ph, ppl_const_Constraint_System_t cs) |
Adds a copy of the system of constraints cs to the system of constraints of ph . | |
int | ppl_Polyhedron_add_constraints_and_minimize (ppl_Polyhedron_t ph, ppl_const_Constraint_System_t cs) |
Adds a copy of the system of constraints cs to the system of constraints of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_add_generators (ppl_Polyhedron_t ph, ppl_const_Generator_System_t gs) |
Adds a copy of the system of generators gs to the system of generators of ph . | |
int | ppl_Polyhedron_add_generators_and_minimize (ppl_Polyhedron_t ph, ppl_const_Generator_System_t gs) |
Adds a copy of the system of generators gs to the system of generators of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_add_recycled_constraints (ppl_Polyhedron_t ph, ppl_Constraint_System_t cs) |
Adds the system of constraints cs to the system of constraints of ph . | |
int | ppl_Polyhedron_add_recycled_constraints_and_minimize (ppl_Polyhedron_t ph, ppl_Constraint_System_t cs) |
Adds the system of constraints cs to the system of constraints of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_add_recycled_generators (ppl_Polyhedron_t ph, ppl_Generator_System_t gs) |
Adds the system of generators gs to the system of generators of ph . | |
int | ppl_Polyhedron_add_recycled_generators_and_minimize (ppl_Polyhedron_t ph, ppl_Generator_System_t gs) |
Adds the system of generators gs to the system of generators of ph . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph is guaranteed to be minimized. | |
int | ppl_Polyhedron_intersection_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Intersects x with polyhedron y and assigns the result to x . | |
int | ppl_Polyhedron_intersection_assign_and_minimize (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Intersects x with polyhedron y and assigns the result to x . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, x is also guaranteed to be minimized. | |
int | ppl_Polyhedron_poly_hull_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Assigns to x the poly-hull of x and y . | |
int | ppl_Polyhedron_poly_hull_assign_and_minimize (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Assigns to x the poly-hull of x and y . Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, x is also guaranteed to be minimized. | |
int | ppl_Polyhedron_poly_difference_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Assigns to x the poly-difference of x and y . | |
int | ppl_Polyhedron_affine_image (ppl_Polyhedron_t ph, ppl_dimension_type var, ppl_const_Linear_Expression_t le, ppl_const_Coefficient_t d) |
Transforms the polyhedron ph , assigning an affine expression to the specified variable. | |
int | ppl_Polyhedron_affine_preimage (ppl_Polyhedron_t ph, ppl_dimension_type var, ppl_const_Linear_Expression_t le, ppl_const_Coefficient_t d) |
Transforms the polyhedron ph , substituting an affine expression to the specified variable. | |
int | ppl_Polyhedron_bounded_affine_image (ppl_Polyhedron_t ph, ppl_dimension_type var, ppl_const_Linear_Expression_t lb, ppl_const_Linear_Expression_t ub, ppl_const_Coefficient_t d) |
Assigns to ph the image of ph with respect to the generalized affine transfer relation ![]() | |
int | ppl_Polyhedron_bounded_affine_preimage (ppl_Polyhedron_t ph, ppl_dimension_type var, ppl_const_Linear_Expression_t lb, ppl_const_Linear_Expression_t ub, ppl_const_Coefficient_t d) |
Assigns to ph the preimage of ph with respect to the generalized affine transfer relation ![]() | |
int | ppl_Polyhedron_generalized_affine_image (ppl_Polyhedron_t ph, ppl_dimension_type var, enum ppl_enum_Constraint_Type relsym, ppl_const_Linear_Expression_t le, ppl_const_Coefficient_t d) |
Assigns to ph the image of ph with respect to the generalized affine transfer relation ![]() ![]() relsym . | |
int | ppl_Polyhedron_generalized_affine_preimage (ppl_Polyhedron_t ph, ppl_dimension_type var, enum ppl_enum_Constraint_Type relsym, ppl_const_Linear_Expression_t le, ppl_const_Coefficient_t d) |
Assigns to ph the preimage of ph with respect to the generalized affine transfer relation ![]() ![]() relsym . | |
int | ppl_Polyhedron_generalized_affine_image_lhs_rhs (ppl_Polyhedron_t ph, ppl_const_Linear_Expression_t lhs, enum ppl_enum_Constraint_Type relsym, ppl_const_Linear_Expression_t rhs) |
Assigns to ph the image of ph with respect to the generalized affine transfer relation ![]() ![]() relsym . | |
int | ppl_Polyhedron_generalized_affine_preimage_lhs_rhs (ppl_Polyhedron_t ph, ppl_const_Linear_Expression_t lhs, enum ppl_enum_Constraint_Type relsym, ppl_const_Linear_Expression_t rhs) |
Assigns to ph the preimage of ph with respect to the generalized affine transfer relation ![]() ![]() relsym . | |
int | ppl_Polyhedron_time_elapse_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Assigns to x the time-elapse between the polyhedra x and y . | |
int | ppl_Polyhedron_BHRZ03_widening_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_BHRZ03_widening_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y . | |
int | ppl_Polyhedron_limited_BHRZ03_extrapolation_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_limited_BHRZ03_extrapolation_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x . | |
int | ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x , further intersected with all the constraints of the form ![]() ![]() ![]() x . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_bounded_BHRZ03_extrapolation_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the BHRZ03-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x , further intersected with all the constraints of the form ![]() ![]() ![]() x . | |
int | ppl_Polyhedron_H79_widening_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_H79_widening_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y . | |
int | ppl_Polyhedron_limited_H79_extrapolation_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_limited_H79_extrapolation_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x . | |
int | ppl_Polyhedron_bounded_H79_extrapolation_assign_with_tokens (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs, unsigned *tp) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x , further intersected with all the constraints of the form ![]() ![]() ![]() x . If tp is not the null pointer, the widening with tokens delay technique is applied with *tp available tokens. | |
int | ppl_Polyhedron_bounded_H79_extrapolation_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y, ppl_const_Constraint_System_t cs) |
If the polyhedron y is contained in (or equal to) the polyhedron x , assigns to x the H79-widening of x and y intersected with the constraints in cs that are satisfied by all the points of x , further intersected with all the constraints of the form ![]() ![]() ![]() x . | |
int | ppl_Polyhedron_topological_closure_assign (ppl_Polyhedron_t ph) |
Assigns to ph its topological closure. | |
int | ppl_Polyhedron_add_space_dimensions_and_embed (ppl_Polyhedron_t ph, ppl_dimension_type d) |
Adds d new dimensions to the space enclosing the polyhedron ph and to ph itself. | |
int | ppl_Polyhedron_add_space_dimensions_and_project (ppl_Polyhedron_t ph, ppl_dimension_type d) |
Adds d new dimensions to the space enclosing the polyhedron ph . | |
int | ppl_Polyhedron_concatenate_assign (ppl_Polyhedron_t x, ppl_const_Polyhedron_t y) |
Seeing a polyhedron as a set of tuples (its points), assigns to x all the tuples that can be obtained by concatenating, in the order given, a tuple of x with a tuple of y . | |
int | ppl_Polyhedron_remove_space_dimensions (ppl_Polyhedron_t ph, ppl_dimension_type ds[], size_t n) |
Removes from the vector space enclosing ph the space dimensions that are specified in first n positions of the array ds . The presence of duplicates in ds is a waste but an innocuous one. | |
int | ppl_Polyhedron_remove_higher_space_dimensions (ppl_Polyhedron_t ph, ppl_dimension_type d) |
Removes the higher dimensions from the vector space enclosing ph so that, upon successful return, the new space dimension is d . | |
int | ppl_Polyhedron_map_space_dimensions (ppl_Polyhedron_t ph, ppl_dimension_type maps[], size_t n) |
Remaps the dimensions of the vector space according to a partial function. This function is specified by means of the maps array, which has n entries. | |
int | ppl_Polyhedron_expand_space_dimension (ppl_Polyhedron_t ph, ppl_dimension_type d, ppl_dimension_type m) |
Expands the ![]() ph to m new space dimensions. | |
int | ppl_Polyhedron_fold_space_dimensions (ppl_Polyhedron_t ph, ppl_dimension_type ds[], size_t n, ppl_dimension_type d) |
Modifies ph by folding the space dimensions contained in the first n positions of the array ds into dimension d . The presence of duplicates in ds is a waste but an innocuous one. | |
Functions Related to LP Problems | |
int | ppl_new_LP_Problem_trivial (ppl_LP_Problem_t *plp) |
Builds a trivial LP problem and writes a handle to it at address plp . | |
int | ppl_new_LP_Problem (ppl_LP_Problem_t *plp, ppl_const_Constraint_System_t cs, ppl_const_Linear_Expression_t le, int m) |
Builds an LP problem having feasible region cs , objective function le and optimization mode m ; writes a handle to it at address plp . | |
int | ppl_new_LP_Problem_from_LP_Problem (ppl_LP_Problem_t *plp, ppl_const_LP_Problem_t lp) |
Builds an LP problem that is a copy of lp ; writes a handle for the newly created system at address plp . | |
int | ppl_delete_LP_Problem (ppl_const_LP_Problem_t lp) |
Invalidates the handle lp: this makes sure the corresponding resources will eventually be released. | |
int | ppl_assign_LP_Problem_from_LP_Problem (ppl_LP_Problem_t dst, ppl_const_LP_Problem_t src) |
Assigns a copy of the LP problem src to dst . | |
int | ppl_LP_Problem_space_dimension (ppl_const_LP_Problem_t lp, ppl_dimension_type *m) |
Writes to m the dimension of the vector space enclosing lp . | |
int | ppl_LP_Problem_constraints (ppl_const_LP_Problem_t lp, ppl_const_Constraint_System_t *pcs) |
Writes a const handle to the constraint system defining the feasible region of the LP problem lp at address pcs . | |
int | ppl_LP_Problem_objective_function (ppl_const_LP_Problem_t lp, ppl_const_Linear_Expression_t *ple) |
Writes a const handle to the linear expression defining the objective function of the LP problem lp at address ple . | |
int | ppl_LP_Problem_optimization_mode (ppl_const_LP_Problem_t lp) |
Returns the optimization mode of the LP problem lp . | |
int | ppl_LP_Problem_clear (ppl_LP_Problem_t lp) |
Resets the LP problem to be a trivial problem of space dimension 0. | |
int | ppl_LP_Problem_add_constraint (ppl_LP_Problem_t lp, ppl_const_Constraint_t c) |
Modifies the feasible region of the LP problem lp by adding a copy of the constraint c ; the space dimension is increased, if necessary. | |
int | ppl_LP_Problem_add_constraints (ppl_LP_Problem_t lp, ppl_const_Constraint_System_t cs) |
Modifies the feasible region of the LP problem lp by adding a copy of the constraints in cs ; the space dimension is increased, if necessary. | |
int | ppl_LP_Problem_set_objective_function (ppl_LP_Problem_t lp, ppl_const_Linear_Expression_t le) |
Sets the objective function of the LP problem lp to a copy of le . | |
int | ppl_LP_Problem_set_optimization_mode (ppl_LP_Problem_t lp, int mode) |
Sets the optimization mode of the LP problem lp to mode . | |
int | ppl_LP_Problem_is_satisfiable (ppl_const_LP_Problem_t lp) |
Returns a positive integer if lp is satisfiable; returns 0 otherwise. | |
int | ppl_LP_Problem_solve (ppl_const_LP_Problem_t lp) |
Solves the LP problem lp , returning an exit status. | |
int | ppl_LP_Problem_evaluate_objective_function (ppl_const_LP_Problem_t lp, ppl_const_Generator_t g, ppl_Coefficient_t num, ppl_Coefficient_t den) |
Evaluates the objective function of lp on point g . | |
int | ppl_LP_Problem_feasible_point (ppl_const_LP_Problem_t lp, ppl_const_Generator_t *pg) |
Writes a const handle to a feasible point for the LP problem lp at address pg . | |
int | ppl_LP_Problem_optimizing_point (ppl_const_LP_Problem_t lp, ppl_const_Generator_t *pg) |
Writes a const handle to an optimizing point for the LP problem lp at address pg . | |
int | ppl_LP_Problem_optimal_value (ppl_const_LP_Problem_t lp, ppl_Coefficient_t num, ppl_Coefficient_t den) |
Returns the optimal value for lp . | |
int | ppl_LP_Problem_OK (ppl_const_LP_Problem_t lp) |
Returns a positive integer if lp is well formed, i.e., if it satisfies all its implementation invariants; returns 0 and perhaps makes some noise if lp is broken. Useful for debugging purposes. | |
Typedefs | |
typedef size_t | ppl_dimension_type |
An unsigned integral type for representing space dimensions. | |
typedef ppl_Coefficient_tag * | ppl_Coefficient_t |
Opaque pointer. | |
typedef ppl_Coefficient_tag const * | ppl_const_Coefficient_t |
Opaque pointer to const object. | |
typedef ppl_Linear_Expression_tag * | ppl_Linear_Expression_t |
Opaque pointer. | |
typedef ppl_Linear_Expression_tag const * | ppl_const_Linear_Expression_t |
Opaque pointer to const object. | |
typedef ppl_Constraint_tag * | ppl_Constraint_t |
Opaque pointer. | |
typedef ppl_Constraint_tag const * | ppl_const_Constraint_t |
Opaque pointer to const object. | |
typedef ppl_Constraint_System_tag * | ppl_Constraint_System_t |
Opaque pointer. | |
typedef ppl_Constraint_System_tag const * | ppl_const_Constraint_System_t |
Opaque pointer to const object. | |
typedef ppl_Constraint_System_const_iterator_tag * | ppl_Constraint_System_const_iterator_t |
Opaque pointer. | |
typedef ppl_Constraint_System_const_iterator_tag const * | ppl_const_Constraint_System_const_iterator_t |
Opaque pointer to const object. | |
typedef ppl_Generator_tag * | ppl_Generator_t |
Opaque pointer. | |
typedef ppl_Generator_tag const * | ppl_const_Generator_t |
Opaque pointer to const object. | |
typedef ppl_Generator_System_tag * | ppl_Generator_System_t |
Opaque pointer. | |
typedef ppl_Generator_System_tag const * | ppl_const_Generator_System_t |
Opaque pointer to const object. | |
typedef ppl_Generator_System_const_iterator_tag * | ppl_Generator_System_const_iterator_t |
Opaque pointer. | |
typedef ppl_Generator_System_const_iterator_tag const * | ppl_const_Generator_System_const_iterator_t |
Opaque pointer to const object. | |
typedef ppl_Polyhedron_tag * | ppl_Polyhedron_t |
Opaque pointer. | |
typedef ppl_Polyhedron_tag const * | ppl_const_Polyhedron_t |
Opaque pointer to const object. | |
typedef ppl_LP_Problem_tag * | ppl_LP_Problem_t |
Opaque pointer. | |
typedef ppl_LP_Problem_tag const * | ppl_const_LP_Problem_t |
Opaque pointer to const object. | |
Enumerations | |
enum | ppl_enum_error_code { PPL_ERROR_OUT_OF_MEMORY, PPL_ERROR_INVALID_ARGUMENT, PPL_ERROR_DOMAIN_ERROR, PPL_ERROR_LENGTH_ERROR, PPL_ARITHMETIC_OVERFLOW, PPL_STDIO_ERROR, PPL_ERROR_INTERNAL_ERROR, PPL_ERROR_UNKNOWN_STANDARD_EXCEPTION, PPL_ERROR_UNEXPECTED_ERROR } |
Defines the error codes that any function may return. More... | |
enum | ppl_enum_Constraint_Type { PPL_CONSTRAINT_TYPE_LESS_THAN, PPL_CONSTRAINT_TYPE_LESS_THAN_OR_EQUAL, PPL_CONSTRAINT_TYPE_EQUAL, PPL_CONSTRAINT_TYPE_GREATER_THAN_OR_EQUAL, PPL_CONSTRAINT_TYPE_GREATER_THAN } |
Describes the relations represented by a constraint. More... | |
enum | ppl_enum_Generator_Type { PPL_GENERATOR_TYPE_LINE, PPL_GENERATOR_TYPE_RAY, PPL_GENERATOR_TYPE_POINT, PPL_GENERATOR_TYPE_CLOSURE_POINT } |
Describes the different kinds of generators. More... | |
Variables | |
unsigned int | PPL_COMPLEXITY_CLASS_POLYNOMIAL |
Code of the worst-case polynomial complexity class. | |
unsigned int | PPL_COMPLEXITY_CLASS_SIMPLEX |
Code of the worst-case exponential but typically polynomial complexity class. | |
unsigned int | PPL_COMPLEXITY_CLASS_ANY |
Code of the universal complexity class. | |
int | PPL_LP_PROBLEM_STATUS_UNFEASIBLE |
Code of the "unfeasible LP problem" status. | |
int | PPL_LP_PROBLEM_STATUS_UNBOUNDED |
Code of the "unbounded LP problem" status. | |
int | PPL_LP_PROBLEM_STATUS_OPTIMIZED |
Code of the "optimized LP problem" status. | |
int | PPL_LP_PROBLEM_MAXIMIZATION |
Code of the "maximization" optimization mode. | |
int | PPL_LP_PROBLEM_MINIMIZATION |
Code of the "minimization" optimization mode. | |
unsigned int | PPL_POLY_CON_RELATION_IS_DISJOINT |
Individual bit saying that the polyhedron and the set of points satisfying the constraint are disjoint. | |
unsigned int | PPL_POLY_CON_RELATION_STRICTLY_INTERSECTS |
Individual bit saying that the polyhedron intersects the set of points satisfying the constraint, but it is not included in it. | |
unsigned int | PPL_POLY_CON_RELATION_IS_INCLUDED |
Individual bit saying that the polyhedron is included in the set of points satisfying the constraint. | |
unsigned int | PPL_POLY_CON_RELATION_SATURATES |
Individual bit saying that the polyhedron is included in the set of points saturating the constraint. | |
unsigned int | PPL_POLY_GEN_RELATION_SUBSUMES |
Individual bit saying that adding the generator would not change the polyhedron. |
All the declarations needed for using the PPL's C interface (preprocessor symbols, data types, variables and functions) are collected in the header file ppl_c.h
. This file, which is designed to work with pre-ANSI and ANSI C compilers as well as C99 and C++ compilers, should be included, either directly or via some other header file, with the directive
#include <ppl_c.h>
ppl_c.h
. So check that the library is installed (if it is not installed, you may want to make install
, perhaps with root privileges) in the right place (if not you may want to reconfigure the library using the appropriate pathname for the --prefix
option); and that your compiler knows where it is installed (if not you should add the path to the directory where ppl_c.h
is located to the compiler's include file search path; this is usually done with the -I
option).
The name space of the PPL's C interface is PPL_*
for preprocessor symbols, enumeration values and variables; and ppl_*
for data types and function names. The interface systematically uses opaque data types (generic pointers that completely hide the internal representations from the client code) and provides all required access functions. By using just the interface, the client code can exploit all the functionalities of the library yet avoid directly manipulating the library's data structures. The advantages are that (1) applications do not depend on the internals of the library (these may change from release to release), and (2) the interface invariants can be thoroughly checked (by the access functions).
The PPL's C interface is initialized by means of the ppl_initialize
function. This function must be called before using any other interface of the library. The application can release the resources allocated by the library by calling the ppl_finalize
function. After this function is called no other interface of the library may be used until the interface is re-initialized using ppl_initialize
.
Any application using the PPL should make sure that only the intended version(s) of the library are ever used. The version used can be checked at compile-time thanks to the macros PPL_VERSION_MAJOR, PPL_VERSION_MINOR, PPL_VERSION_REVISION and PPL_VERSION_BETA, which give, respectively major, minor, revision and beta numbers of the PPL version. This is an example of their use:
#if PPL_VERSION_MAJOR == 0 && PPL_VERSION_MINOR < 6 # error "PPL version 0.6 or following is required" #endif
ppl_version_major
, ppl_version_minor
, ppl_version_revision
, and ppl_version_beta
. The PPL's C interface also provides functions ppl_version
, returning character string containing the full version number, and ppl_banner
, returning a string that, in addition, provides (pointers to) other useful information for the library user.
All programs using the PPL's C interface must link with the following libraries: libppl_c
(PPL's C interface), libppl
(PPL's core), libgmpxx
(GMP's C++ interface), and libgmp
(GMP's library core). On most Unix-like systems, this is done by adding -lppl_c
, -lppl
, -lgmpxx
, and -lgmp
to the compiler's or linker's command line. For example:
gcc myprogram.o -lppl_c -lppl -lgmpxx -lgmp
-L
) and, if you use shared libraries, some sort of run-time path selection mechanisms. Consult your compiler's documentation for details. Notice that the PPL is built using Libtool and an application can exploit this fact to significantly simplify the linking phase. See Libtool's documentation for details. Those working under Linux can find a lot of useful information on how to use program libraries (including static, shared, and dynamically loaded libraries) in the Program Library HOWTO.
For examples on how to use the functions provided by the C interface, you are referred to the directory demos/ppl_lpsol/
in the source distribution. It contains a Linear Programming solver written in C. In order to use this solver you will need to install GLPK (the GNU Linear Programming Kit): this is used to read linear programs in MPS format.
#define PPL_VERSION "0.9" |
A string containing the PPL version.
Let M
and m
denote the numbers associated to PPL_VERSION_MAJOR and PPL_VERSION_MINOR, respectively. The format of PPL_VERSION is M "." m
if both PPL_VERSION_REVISION (r
) and PPL_VERSION_BETA (b
)are zero, M "." m "pre" b
if PPL_VERSION_REVISION is zero and PPL_VERSION_BETA is not zero, M "." m "." r
if PPL_VERSION_REVISION is not zero and PPL_VERSION_BETA is zero, M "." m "." r "pre" b
if neither PPL_VERSION_REVISION nor PPL_VERSION_BETA are zero.
typedef const char* ppl_io_variable_output_function_type(ppl_dimension_type var) |
The type of output functions used for printing variables.
An output function for variables must write a textual representation for var
to a character buffer, null-terminate it, and return a pointer to the beginning of the buffer. In case the operation fails, 0 should be returned and perhaps errno
should be set in a meaningful way. The library does nothing with the buffer, besides printing its contents.
enum ppl_enum_error_code |
Defines the error codes that any function may return.
Describes the relations represented by a constraint.
int ppl_banner | ( | const char ** | p | ) |
Writes to *p
a pointer to a character string containing the PPL banner.
The banner provides information about the PPL version, the licensing, the lack of any warranty whatsoever, the C++ compiler used to build the library, where to report bugs and where to look for further information.
int ppl_initialize | ( | void | ) |
Initializes the Parma Polyhedra Library. This function must be called before any other function.
PPL_ERROR_INVALID_ARGUMENT
if the library was already initialized. int ppl_finalize | ( | void | ) |
Finalizes the Parma Polyhedra Library. This function must be called after any other function.
PPL_ERROR_INVALID_ARGUMENT
if the library was already finalized. int ppl_set_error_handler | ( | void(*)(enum ppl_enum_error_code code, const char *description) | h | ) |
Installs the user-defined error handler pointed at by h
.
The error handler takes an error code and a textual description that gives further information about the actual error. The C string containing the textual description is read-only and its existence is not guaranteed after the handler has returned.
int ppl_new_C_Polyhedron_from_Constraint_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_const_Constraint_System_t | cs | |||
) |
Builds a new C polyhedron from the system of constraints cs
and writes a handle for the newly created polyhedron at address pph
.
The new polyhedron will inherit the space dimension of cs
.
int ppl_new_C_Polyhedron_recycle_Constraint_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_Constraint_System_t | cs | |||
) |
Builds a new C polyhedron recycling the system of constraints cs
and writes a handle for the newly created polyhedron at address pph
.
Since cs
will be the system of constraints of the new polyhedron, the space dimension is also inherited.
cs:
upon return, no assumption can be made on its value. int ppl_new_NNC_Polyhedron_from_Constraint_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_const_Constraint_System_t | cs | |||
) |
Builds a new NNC polyhedron from the system of constraints cs
and writes a handle for the newly created polyhedron at address pph
.
The new polyhedron will inherit the space dimension of cs
.
int ppl_new_NNC_Polyhedron_recycle_Constraint_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_Constraint_System_t | cs | |||
) |
Builds a new NNC polyhedron recycling the system of constraints cs
and writes a handle for the newly created polyhedron at address pph
.
Since cs
will be the system of constraints of the new polyhedron, the space dimension is also inherited.
cs:
upon return, no assumption can be made on its value. int ppl_new_C_Polyhedron_from_Generator_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_const_Generator_System_t | gs | |||
) |
Builds a new C polyhedron from the system of generators gs
and writes a handle for the newly created polyhedron at address pph
.
The new polyhedron will inherit the space dimension of gs
.
int ppl_new_C_Polyhedron_recycle_Generator_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_Generator_System_t | gs | |||
) |
Builds a new C polyhedron recycling the system of generators gs
and writes a handle for the newly created polyhedron at address pph
.
Since gs
will be the system of generators of the new polyhedron, the space dimension is also inherited.
gs:
upon return, no assumption can be made on its value. int ppl_new_NNC_Polyhedron_from_Generator_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_const_Generator_System_t | gs | |||
) |
Builds a new NNC polyhedron from the system of generators gs
and writes a handle for the newly created polyhedron at address pph
.
The new polyhedron will inherit the space dimension of gs
.
int ppl_new_NNC_Polyhedron_recycle_Generator_System | ( | ppl_Polyhedron_t * | pph, | |
ppl_Generator_System_t | gs | |||
) |
Builds a new NNC polyhedron recycling the system of generators gs
and writes a handle for the newly created polyhedron at address pph
.
Since gs
will be the system of generators of the new polyhedron, the space dimension is also inherited.
gs:
upon return, no assumption can be made on its value. int ppl_new_C_Polyhedron_from_bounding_box | ( | ppl_Polyhedron_t * | pph, | |
ppl_dimension_type(*)(void) | space_dimension, | |||
int(*)(void) | is_empty, | |||
int(*)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d) | get_lower_bound, | |||
int(*)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d) | get_upper_bound | |||
) |
Builds a new C polyhedron corresponding to an interval-based bounding box, writing a handle for the newly created polyhedron at address pph
.
If an interval of the bounding box is provided with any finite but open bound, then the polyhedron is not built and the value PPL_ERROR_INVALID_ARGUMENT
is returned. The bounding box is accessed by using the following functions, passed as arguments:
ppl_dimension_type space_dimension()
int is_empty()
is_empty()
will always be called before the other functions. However, if is_empty()
does not return 0, none of the functions below will be called. int get_lower_bound(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)
k
-th space dimension. If closed
, n
and d
as follows: closed
is set to 0 if the lower boundary of n
and d
are assigned the integers int get_upper_bound(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)
k
-th space dimension. If closed
, n
and d
as follows: closed
is set to 0 if the upper boundary of n
and d
are assigned the integers int ppl_new_NNC_Polyhedron_from_bounding_box | ( | ppl_Polyhedron_t * | pph, | |
ppl_dimension_type(*)(void) | space_dimension, | |||
int(*)(void) | is_empty, | |||
int(*)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d) | get_lower_bound, | |||
int(*)(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d) | get_upper_bound | |||
) |
Builds a new NNC polyhedron corresponding to an interval-based bounding box, writing a handle for the newly created polyhedron at address pph
.
The bounding box is accessed by using the following functions, passed as arguments:
ppl_dimension_type space_dimension()
int is_empty()
is_empty()
will always be called before the other functions. However, if is_empty()
does not return 0, none of the functions below will be called. int get_lower_bound(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)
k
-th space dimension. If closed
, n
and d
as follows: closed
is set to 0 if the lower boundary of n
and d
are assigned the integers int get_upper_bound(ppl_dimension_type k, int closed, ppl_Coefficient_t n, ppl_Coefficient_t d)
k
-th space dimension. If closed
, n
and d
as follows: closed
is set to 0 if the upper boundary of n
and d
are assigned the integers int ppl_Polyhedron_relation_with_Constraint | ( | ppl_const_Polyhedron_t | ph, | |
ppl_const_Constraint_t | c | |||
) |
Checks the relation between the polyhedron ph
and the constraint c
.
If successful, returns a non-negative integer that is obtained as the bitwise or of the bits (chosen among PPL_POLY_CON_RELATION_IS_DISJOINT PPL_POLY_CON_RELATION_STRICTLY_INTERSECTS, PPL_POLY_CON_RELATION_IS_INCLUDED, and PPL_POLY_CON_RELATION_SATURATES) that describe the relation between ph
and c
.
int ppl_Polyhedron_relation_with_Generator | ( | ppl_const_Polyhedron_t | ph, | |
ppl_const_Generator_t | g | |||
) |
Checks the relation between the polyhedron ph
and the generator g
.
If successful, returns a non-negative integer that is obtained as the bitwise or of the bits (only PPL_POLY_GEN_RELATION_SUBSUMES, at present) that describe the relation between ph
and g
.
int ppl_Polyhedron_shrink_bounding_box | ( | ppl_const_Polyhedron_t | ph, | |
unsigned int | complexity, | |||
void(*)(void) | set_empty, | |||
void(*)(ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d) | raise_lower_bound, | |||
void(*)(ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d) | lower_upper_bound | |||
) |
Use ph
to shrink a generic, interval-based bounding box. The bounding box is abstractly provided by means of the parameters.
ph | The polyhedron that is used to shrink the bounding box; | |
complexity | The code of the complexity class of the algorithm to be used. Must be one of PPL_COMPLEXITY_CLASS_POLYNOMIAL, PPL_COMPLEXITY_CLASS_SIMPLEX, or PPL_COMPLEXITY_CLASS_ANY; | |
set_empty | A pointer to a void function with no arguments that causes the bounding box to become empty, i.e., to represent the empty set; | |
raise_lower_bound | A pointer to a void function with arguments (ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d) that intersects the interval corresponding to the k -th space dimension with ![]() closed is non-zero, with ![]() closed is zero. The fraction ![]() ![]() ![]() ![]() ![]() | |
lower_upper_bound | a pointer to a void function with argument (ppl_dimension_type k, int closed, ppl_const_Coefficient_t n, ppl_const_Coefficient_t d) that intersects the interval corresponding to the k -th space dimension with ![]() closed is non-zero, with ![]() closed is zero. The fraction ![]() |
int ppl_Polyhedron_maximize | ( | ppl_const_Polyhedron_t | ph, | |
ppl_const_Linear_Expression_t | le, | |||
ppl_Coefficient_t | sup_n, | |||
ppl_Coefficient_t | sup_d, | |||
int * | pmaximum, | |||
ppl_Generator_t | point | |||
) |
Returns a positive integer if ph
is not empty and le
is bounded from above in ph
, in which case the supremum value and a point where le
reaches it are computed.
ph | The polyhedron constraining le ; | |
le | The linear expression to be maximized subject to ph ; | |
sup_n | Will be assigned the numerator of the supremum value; | |
sup_d | Will be assigned the denominator of the supremum value; | |
pmaximum | Will store 1 in this location if the supremum is also the maximum, will store 0 otherwise; | |
point | Will be assigned the point or closure point where le reaches the extremum value. |
ph
is empty or le
is not bounded from above, 0 will be returned and sup_n
, sup_d
, *pmaximum
and point
will be left untouched.
int ppl_Polyhedron_minimize | ( | ppl_const_Polyhedron_t | ph, | |
ppl_const_Linear_Expression_t | le, | |||
ppl_Coefficient_t | inf_n, | |||
ppl_Coefficient_t | inf_d, | |||
int * | pminimum, | |||
ppl_Generator_t | point | |||
) |
Returns a positive integer if ph
is not empty and le
is bounded from below in ph
, in which case the infimum value and a point where le
reaches it are computed.
ph | The polyhedron constraining le ; | |
le | The linear expression to be minimized subject to ph ; | |
inf_n | Will be assigned the numerator of the infimum value; | |
inf_d | Will be assigned the denominator of the infimum value; | |
pminimum | Will store 1 in this location if the infimum is also the minimum, will store 0 otherwise; | |
point | Will be assigned the point or closure point where le reaches the extremum value. |
ph
is empty or le
is not bounded from below, 0 will be returned and sup_n
, sup_d
, *pmaximum
and point
will be left untouched.
int ppl_Polyhedron_equals_Polyhedron | ( | ppl_const_Polyhedron_t | x, | |
ppl_const_Polyhedron_t | y | |||
) |
Returns a positive integer if x
and y
are the same polyhedron; returns 0 if they are different.
Note that x
and y
may be topology- and/or dimension-incompatible polyhedra: in those cases, the value 0 is returned.
int ppl_Polyhedron_add_recycled_constraints | ( | ppl_Polyhedron_t | ph, | |
ppl_Constraint_System_t | cs | |||
) |
Adds the system of constraints cs
to the system of constraints of ph
.
cs:
upon return, no assumption can be made on its value. int ppl_Polyhedron_add_recycled_constraints_and_minimize | ( | ppl_Polyhedron_t | ph, | |
ppl_Constraint_System_t | cs | |||
) |
Adds the system of constraints cs
to the system of constraints of ph
. Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph
is guaranteed to be minimized.
cs:
upon return, no assumption can be made on its value. int ppl_Polyhedron_add_recycled_generators | ( | ppl_Polyhedron_t | ph, | |
ppl_Generator_System_t | gs | |||
) |
Adds the system of generators gs
to the system of generators of ph
.
gs:
upon return, no assumption can be made on its value. int ppl_Polyhedron_add_recycled_generators_and_minimize | ( | ppl_Polyhedron_t | ph, | |
ppl_Generator_System_t | gs | |||
) |
Adds the system of generators gs
to the system of generators of ph
. Returns a positive integer if the resulting polyhedron is non-empty; returns 0 if it is empty. Upon successful return, ph
is guaranteed to be minimized.
gs:
upon return, no assumption can be made on its value. int ppl_Polyhedron_affine_image | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
ppl_const_Linear_Expression_t | le, | |||
ppl_const_Coefficient_t | d | |||
) |
Transforms the polyhedron ph
, assigning an affine expression to the specified variable.
ph | The polyhedron that is transformed; | |
var | The variable to which the affine expression is assigned; | |
le | The numerator of the affine expression; | |
d | The denominator of the affine expression. |
int ppl_Polyhedron_affine_preimage | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
ppl_const_Linear_Expression_t | le, | |||
ppl_const_Coefficient_t | d | |||
) |
Transforms the polyhedron ph
, substituting an affine expression to the specified variable.
ph | The polyhedron that is transformed; | |
var | The variable to which the affine expression is substituted; | |
le | The numerator of the affine expression; | |
d | The denominator of the affine expression. |
int ppl_Polyhedron_bounded_affine_image | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
ppl_const_Linear_Expression_t | lb, | |||
ppl_const_Linear_Expression_t | ub, | |||
ppl_const_Coefficient_t | d | |||
) |
Assigns to ph
the image of ph
with respect to the generalized affine transfer relation .
ph | The polyhedron that is transformed; | |
var | The variable bounded by the generalized affine transfer relation; | |
lb | The numerator of the lower bounding affine expression; | |
ub | The numerator of the upper bounding affine expression; | |
d | The (common) denominator of the lower and upper bounding affine expressions. |
int ppl_Polyhedron_bounded_affine_preimage | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
ppl_const_Linear_Expression_t | lb, | |||
ppl_const_Linear_Expression_t | ub, | |||
ppl_const_Coefficient_t | d | |||
) |
Assigns to ph
the preimage of ph
with respect to the generalized affine transfer relation .
ph | The polyhedron that is transformed; | |
var | The variable bounded by the generalized affine transfer relation; | |
lb | The numerator of the lower bounding affine expression; | |
ub | The numerator of the upper bounding affine expression; | |
d | The (common) denominator of the lower and upper bounding affine expressions. |
int ppl_Polyhedron_generalized_affine_image | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
enum ppl_enum_Constraint_Type | relsym, | |||
ppl_const_Linear_Expression_t | le, | |||
ppl_const_Coefficient_t | d | |||
) |
Assigns to ph
the image of ph
with respect to the generalized affine transfer relation , where
is the relation symbol encoded by
relsym
.
ph | The polyhedron that is transformed; | |
var | The left hand side variable of the generalized affine transfer relation; | |
relsym | The relation symbol; | |
le | The numerator of the right hand side affine expression; | |
d | The denominator of the right hand side affine expression. |
int ppl_Polyhedron_generalized_affine_preimage | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | var, | |||
enum ppl_enum_Constraint_Type | relsym, | |||
ppl_const_Linear_Expression_t | le, | |||
ppl_const_Coefficient_t | d | |||
) |
Assigns to ph
the preimage of ph
with respect to the generalized affine transfer relation , where
is the relation symbol encoded by
relsym
.
ph | The polyhedron that is transformed; | |
var | The left hand side variable of the generalized affine transfer relation; | |
relsym | The relation symbol; | |
le | The numerator of the right hand side affine expression; | |
d | The denominator of the right hand side affine expression. |
int ppl_Polyhedron_generalized_affine_image_lhs_rhs | ( | ppl_Polyhedron_t | ph, | |
ppl_const_Linear_Expression_t | lhs, | |||
enum ppl_enum_Constraint_Type | relsym, | |||
ppl_const_Linear_Expression_t | rhs | |||
) |
Assigns to ph
the image of ph
with respect to the generalized affine transfer relation , where
is the relation symbol encoded by
relsym
.
ph | The polyhedron that is transformed; | |
lhs | The left hand side affine expression; | |
relsym | The relation symbol; | |
rhs | The right hand side affine expression. |
int ppl_Polyhedron_generalized_affine_preimage_lhs_rhs | ( | ppl_Polyhedron_t | ph, | |
ppl_const_Linear_Expression_t | lhs, | |||
enum ppl_enum_Constraint_Type | relsym, | |||
ppl_const_Linear_Expression_t | rhs | |||
) |
Assigns to ph
the preimage of ph
with respect to the generalized affine transfer relation , where
is the relation symbol encoded by
relsym
.
ph | The polyhedron that is transformed; | |
lhs | The left hand side affine expression; | |
relsym | The relation symbol; | |
rhs | The right hand side affine expression. |
int ppl_Polyhedron_map_space_dimensions | ( | ppl_Polyhedron_t | ph, | |
ppl_dimension_type | maps[], | |||
size_t | n | |||
) |
Remaps the dimensions of the vector space according to a partial function. This function is specified by means of the maps
array, which has n
entries.
The partial function is defined on dimension i
if i < n
and maps[i] != ppl_not_a_dimension
; otherwise it is undefined on dimension i
. If the function is defined on dimension i
, then dimension i
is mapped onto dimension maps[i]
.
The result is undefined if maps
does not encode a partial function with the properties described in the specification of the mapping operator.
int ppl_LP_Problem_solve | ( | ppl_const_LP_Problem_t | lp | ) |
Solves the LP problem lp
, returning an exit status.
PPL_LP_PROBLEM_STATUS_UNFEASIBLE
if the LP problem is not satisfiable; PPL_LP_PROBLEM_STATUS_UNBOUNDED
if the LP problem is satisfiable but there is no finite bound to the value of the objective function; PPL_LP_PROBLEM_STATUS_OPTIMIZED
if the LP problem admits an optimal solution. int ppl_LP_Problem_evaluate_objective_function | ( | ppl_const_LP_Problem_t | lp, | |
ppl_const_Generator_t | g, | |||
ppl_Coefficient_t | num, | |||
ppl_Coefficient_t | den | |||
) |
Evaluates the objective function of lp
on point g
.
lp | The LP problem defining the objective function; | |
g | The generator on which the objective function will be evaluated; | |
num | Will be assigned the numerator of the objective function value; | |
den | Will be assigned the denominator of the objective function value; |
int ppl_LP_Problem_optimal_value | ( | ppl_const_LP_Problem_t | lp, | |
ppl_Coefficient_t | num, | |||
ppl_Coefficient_t | den | |||
) |
Returns the optimal value for lp
.
lp | The LP problem; | |
num | Will be assigned the numerator of the optimal value; | |
den | Will be assigned the denominator of the optimal value. |