rc_test_polynomial.c

/**
 * @example    rc_test_polynomial.c
 *
 * @brief      Tests the functions in rc_polynomial.h
 *
 * @author     James Strawson
 * @date       1/29/2018
 */
 
#include <stdio.h>
#include <rc/math.h>
 
#define LEN 4 // length of polynomial to test
 
int main()
{
        int i;
        rc_vector_t a = RC_VECTOR_INITIALIZER;
        rc_vector_t b = RC_VECTOR_INITIALIZER;
        rc_vector_t c = RC_VECTOR_INITIALIZER;
        rc_vector_t d = RC_VECTOR_INITIALIZER;
        rc_vector_t e = RC_VECTOR_INITIALIZER;
 
        printf("\nRandom polynomials of orders 0-9\n");
        for(i=1;i<=10;i++){
                rc_vector_random(&a,i);
                rc_poly_print(a);
        }
 
        printf("\npolynomial of ones a:\n");
        rc_vector_ones(&a, 2);
        rc_poly_print(a);
 
        printf("polynomial of ones b:\n");
        rc_vector_ones(&b, 3);
        rc_poly_print(b);
 
        printf("Polynomial convolution a*b:\n");
        rc_poly_conv(a,b,&c);
        rc_poly_print(c);
 
        // test powers
        printf("\na to the power of 0-5:\n");
        for(i=0;i<=5;i++){
                rc_poly_power(a,i,&c);
                rc_poly_print(c);
        }
 
        // test subtract
        printf("\nrc_poly_subtract c=b-a\n");
        rc_poly_subtract(b,a,&c);
        rc_poly_print(c);
 
        // test subtract
        printf("\nrc_poly_subtract_inplace c=c-a\n");
        rc_poly_subtract_inplace(&c,a);
        rc_poly_print(c);
 
        // test add
        printf("\nrc_poly_add a+b=c\n");
        rc_poly_add(a,b,&c);
        rc_poly_print(c);
 
        // test add
        printf("\nrc_poly_add_inplace c=c+a\n");
        rc_poly_add_inplace(&c,a);
        rc_poly_print(c);
 
        // differentiate
        printf("0st-3rd derivative of b\n");
        for(i=0;i<=3;i++){
                rc_poly_differentiate(b,i,&c);
                rc_poly_print(c);
        }
 
        // divide
        rc_vector_fibonnaci(&a, 2);
        rc_vector_fibonnaci(&b, 5);
        printf("\nNew polynomial a:\n");
        rc_poly_print(a);
        printf("\nNew polynomial b:\n");
        rc_poly_print(b);
        printf("\ndivide a into b\n");
        rc_poly_divide(b,a,&c,&d);
        rc_poly_print(c);
        printf("remainder:\n");
        rc_poly_print(d);
 
        // confirm
        printf("\nConfirm by multiplying the result and adding remainder\n");
        rc_poly_conv(c,a,&e);
        rc_poly_add_inplace(&e,d);
        rc_poly_print(e);
 
        // butterworth
        printf("\nfirst 4 butterworth polynomials\n");
        for(i=1;i<=4;i++){
                rc_poly_butter(i,1,&a);
                rc_poly_print(a);
        }
 
        rc_vector_free(&a);
        rc_vector_free(&b);
        rc_vector_free(&c);
        rc_vector_free(&d);
        rc_vector_free(&e);
        printf("\nDONE\n");
        return 0;
}