Coefficients (‘ap_coeff.h’)

datatype: ap_coeff_discr_t

typedef enum ap_coeff_discr_t { AP_COEFF_SCALAR, AP_COEFF_INTERVAL } ap_coeff_discr_t;

Discriminant indicating the underlying type of a coefficient.

datatype: ap_coeff_t

typedef struct ap_coeff_t { ap_coeff_discr_t discr; union { ap_scalar_t* scalar; ap_interval_t* interval; } val; } ap_coeff_t;

A coefficient is either a scalar or an interval.

Initializing coefficients

Function: void ap_coeff_alloc (ap_coeff_discr_t discr)

Allocate a coefficient, using discr to specify the type of coefficient (scalar or interval).

Function: void ap_coeff_free (ap_coeff_t* op)

Deallocate a coefficient.

Function: void ap_coeff_reinit (ap_coeff_t* op, ap_coeff_discr_t discr1, ap_scalar_discr_t discr2)

Changing the type of the coefficient and also the type of the underlting scalar(s).

Function: void ap_coeff_reduce (ap_coeff_t* op)

If the coefficient is an interval [a;a], convert it to a scalar. */

Function: void ap_coeff_init (ap_coeff_t* rop, ap_coeff_discr_t discr)

Function: void ap_coeff_init_set (ap_coeff_t* rop, ap_coeff_t* op)

Function: void ap_coeff_clear (ap_coeff_t* rop)

Initialize, initialize and assign, and clear a scalar \‘a la GMP (internal use).

Assigning coefficients

Function: void ap_coeff_set (ap_coeff_t* rop, ap_coeff_t* op)

Set the value of rop from op.

Function: void ap_coeff_set_scalar (ap_coeff_t* rop, ap_scalar_t* op)

Function: void ap_coeff_set_scalar_mpq (ap_coeff_t* rop, mpq_t mpq)

Function: void ap_coeff_set_scalar_int (ap_coeff_t* rop, long int i)

Function: void ap_coeff_set_scalar_frac (ap_coeff_t* rop, long int i, unsigned long int j)

Function: void ap_coeff_set_scalar_double (ap_coeff_t* rop, double k)

Set the type of rop to scalar, and sets its value as the functions ap_scalar_set_XXX.

Function: void ap_coeff_set_interval (ap_coeff_t* rop, ap_interval_t* op)

Function: void ap_coeff_set_interval_scalar (ap_coeff_t* rop, ap_scalar_t* inf, ap_scalar_t* sup)

Function: void ap_coeff_set_interval_mpq (ap_coeff_t* rop, mpq_t inf, mpq_t sup)

Function: void ap_coeff_set_interval_int (ap_coeff_t* rop, int inf, int sup)

Function: void ap_coeff_set_interval_frac (ap_coeff_t* rop, int numinf, int deninf, int numsup, int densup)

Function: void ap_coeff_set_interval_double (ap_coeff_t* rop, double inf, double sup)

Set the type of rop to interval, and sets its value as the functions ap_interval_set_XXX.

Function: ap_coeff_t* ap_coeff_alloc_set (ap_coeff_t* op)

Function: ap_coeff_t* ap_coeff_alloc_set_scalar (ap_scalar_t* scalar)

Function: ap_coeff_t* ap_coeff_alloc_set_interval (ap_interval_t* interval)

Combined allocation and assignement.

Comparing coefficients

Function: int ap_coeff_cmp (ap_coeff_t* op1, ap_coeff_t* op2)

Non-total comparison.

• If op1 and op2 are scalars, corresponds to ap_scalar_cmp.
• If op1 and op2 are intervals, corresponds to ap_interval_cmp.
• otherwise, -3 if the first is a scalar, 3 otherwise

Function: bool ap_coeff_equal (ap_coeff_t* op1, ap_coeff_t* op2)

Equality test.

Function: bool ap_coeff_zero (ap_coeff_t* op)

Return true iff coeff is a zero scalar or an interval with zero bounds.

Other operations on coefficients

Function: void ap_coeff_neg (ap_coeff_t* rop, ap_coeff_t* op)

Negation.

Function: void ap_coeff_swap (ap_coeff_t* op1, ap_coeff_t* op2)

Exchange the values of op1 and op2.

Function: int ap_coeff_hash (ap_coeff_t* op)

Return an hash code (for instance for OCaml interface).

Function: void ap_coeff_fprint (FILE* stream, ap_coeff_t* op)

Print op on the stream stream.

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