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#include "lizfcm.h"
#include <assert.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
double l2_norm(Array_double *v) {
double norm = 0;
for (size_t i = 0; i < v->size; ++i)
norm += v->data[i] * v->data[i];
return sqrt(norm);
}
double l1_norm(Array_double *v) {
double sum = 0;
for (size_t i = 0; i < v->size; ++i)
sum += fabs(v->data[i]);
return sum;
}
double linf_norm(Array_double *v) {
double max = -DBL_MAX;
for (size_t i = 0; i < v->size; ++i)
max = c_max(v->data[i], max);
return max;
}
Array_double *minus_v(Array_double *v1, Array_double *v2) {
assert(v1->size == v2->size);
Array_double *sub = InitArrayWithSize(double, v1->size, 0);
for (size_t i = 0; i < v1->size; i++)
sub->data[i] = v1->data[i] - v2->data[i];
return sub;
}
double sum_v(Array_double *v) {
double sum = 0;
for (size_t i = 0; i < v->size; i++)
sum += v->data[i];
return sum;
}
Array_double *add_v(Array_double *v1, Array_double *v2) {
assert(v1->size == v2->size);
Array_double *sum = InitArrayWithSize(double, v1->size, 0);
for (size_t i = 0; i < v1->size; i++)
sum->data[i] = v1->data[i] + v2->data[i];
return sum;
}
double dot_v(Array_double *v1, Array_double *v2) {
assert(v1->size == v2->size);
double dot = 0;
for (size_t i = 0; i < v1->size; i++)
dot += v1->data[i] * v2->data[i];
return dot;
}
double l2_distance(Array_double *v1, Array_double *v2) {
Array_double *minus = minus_v(v1, v2);
double dist = l2_norm(minus);
free(minus);
return dist;
}
double l1_distance(Array_double *v1, Array_double *v2) {
Array_double *minus = minus_v(v1, v2);
double dist = l1_norm(minus);
free(minus);
return dist;
}
double linf_distance(Array_double *v1, Array_double *v2) {
Array_double *minus = minus_v(v1, v2);
double dist = linf_norm(minus);
free(minus);
return dist;
}
void format_vector_into(Array_double *v, char *s) {
sprintf(s, "");
if (v->size == 0)
sprintf(s, "empty");
for (size_t i = 0; i < v->size; ++i)
sprintf(s, "%s %f,", s, v->data[i]);
}
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