polyfr.h

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//
//  polyfr.h
//
//  Authors: Nicolae Mihalache & François Vigneron
//
//  This software is released under BSD licence, with an attribution clause (see Licence file).
//  Please cite the reference below if you use or distribute this software.
//
//  • [1] R. Anton, N. Mihalache & F. Vigneron. Fast evaluation of real and complex polynomials. 2022.
//        https://hal.archives-ouvertes.fr/hal-03820369
//
//  Copyright 2022 Univ. Paris-Est Créteil & Univ. de Reims Champagne-Ardenne.
//
 
#ifndef polyfr_h
#define polyfr_h
 
#include "ntypes.h"
#include "compf.h"
#include "polyf.h"
 
// MARK: data types
 
typedef struct {
    deg_t degree;   
    coeff_t *a;     
    bool modified;  
} polyfr_struct;
 
typedef polyfr_struct polyfr_t[1];
 
typedef polyfr_struct *polyfr;
 
// MARK: functions prototypes
 
polyfr polyfr_new(deg_t degree);
 
bool polyfr_free(polyfr P);
 
bool polyfr_set(polyfr P, coeff_t coeff, deg_t ind);
 
coeff_t polyfr_get(polyfr P, deg_t ind);
 
bool polyfr_eval_c(compf res, polyfr P, compf z);
 
coeff_t polyfr_eval(polyfr P, coeff_t x);
 
polyf polyfr_comp(polyfr P);
 
polyfr polyfr_derivative(polyfr P);
 
polyfr polyfr_sum(polyfr P, polyfr Q);
 
polyfr polyfr_diff(polyfr P, polyfr Q);
 
polyfr polyfr_prod(polyfr P, polyfr Q);
 
polyfr polyfr_sqr(polyfr P);
 
polyfr polyf_hyp(int n);
 
polyfr polyf_cheb(int n);
 
polyfr polyf_leg(int n);
 
polyfr polyf_her(int n);
 
polyfr polyf_lag(int n);
 
#endif /* polyfr_h */