polyr.h

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//
//  polyr.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 polyr_h
#define polyr_h
 
#include <mpfr.h>
 
#include "ntypes.h"
#include "comp.h"
 
// MARK: data types
 
typedef struct {
    deg_t degree;   
    prec_t prec;    
    mpfr_ptr a;     
    bool modified;  
    mpfr_t buf1;    
    mpfr_t buf2;    
} polyr_struct;
 
typedef polyr_struct polyr_t[1];
 
typedef polyr_struct *polyr;
 
// MARK: functions prototypes
 
polyr polyr_new(deg_t degree, prec_t prec);
 
bool polyr_free(polyr P);
 
bool polyr_set(polyr P, mpfr_t coeff, deg_t ind);
 
bool polyr_seti(polyr P, long coeff, deg_t ind);
 
bool polyr_eval_c(comp res, polyr P, comp z);
 
bool polyr_eval(mpfr_t res, polyr P, mpfr_t x);
 
polyr polyr_derivative(polyr P);
 
polyr polyr_sum(polyr P, polyr Q);
 
polyr polyr_diff(polyr P, polyr Q);
 
polyr polyr_prod(polyr P, polyr Q);
 
polyr polyr_sqr(polyr P);
 
polyr poly_hyp(int n, prec_t prec);
 
polyr poly_cheb(int n, prec_t prec);
 
polyr poly_leg(int n, prec_t prec);
 
polyr poly_her(int n, prec_t prec);
 
polyr poly_lag(int n, prec_t prec);
 
#endif /* polyr_h */