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#include "lizfcm.h"
#include <stdio.h>
#include <stdlib.h>
double f(double x) { return (x - 1) / (x + 1); }
int main() {
printf("smaceps(): %.10e\n", smaceps());
printf("dmaceps(): %.10e\n", dmaceps());
Array_double *v = InitArray(double, {3, 1, -4, 1, 5, -9, 3});
Array_double *w = InitArray(double, {-2, 7, 1, -8, -2, 8, 5});
char v_s[256];
char w_s[256];
format_vector_into(v, v_s);
format_vector_into(w, w_s);
printf("v: %s\n", v_s);
printf("w: %s\n", w_s);
printf("l1_norm(v): %f\n", l1_norm(v));
printf("l2_norm(v): %f\n", l2_norm(v));
printf("linf_norm(v): %f\n", linf_norm(v));
printf("l1_dist(v, w): %f\n", l1_distance(v, w));
printf("l2_dist(v, w): %f\n", l2_distance(v, w));
printf("linf_dist(v, w): %f\n", linf_distance(v, w));
double h = 0.001;
printf("approx f'(1) w/ c.d.: %f\n", central_derivative_at(&f, 1, h));
printf("approx f'(1) w/ fw.d.: %f\n", forward_derivative_at(&f, 1, h));
printf("approx f'(1) w/ bw.d.: %f\n", backward_derivative_at(&f, 1, h));
v = InitArray(double, {1, 2, 3, 4, 5});
w = InitArray(double, {2, 3, 4, 5, 6});
format_vector_into(v, v_s);
format_vector_into(w, w_s);
printf("v: %s\n", v_s);
printf("w: %s\n", w_s);
Line *line = least_squares_lin_reg(v, w);
printf("least_squares_lin_reg(v, w): (%f)x + %f\n", line->m, line->a);
v = InitArray(double, {1, 2, 3, 4, 5, 6, 7});
w = InitArray(double, {0.5, 3, 2, 3.5, 5, 6, 7.5});
format_vector_into(v, v_s);
format_vector_into(w, w_s);
printf("v: %s\n", v_s);
printf("w: %s\n", w_s);
line = least_squares_lin_reg(v, w);
printf("least_squares_lin_reg(v, w): (%f)x + %f\n", line->m, line->a);
return 0;
}
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