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#include "lizfcm.h"
#include <assert.h>
#include <float.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
Array_double *add_v(Array_double *v1, Array_double *v2) {
assert(v1->size == v2->size);
Array_double *sum = copy_vector(v1);
for (size_t i = 0; i < v1->size; i++)
sum->data[i] += v2->data[i];
return sum;
}
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;
}
Array_double *scale_v(Array_double *v, double m) {
Array_double *copy = copy_vector(v);
for (size_t i = 0; i < v->size; i++)
copy->data[i] *= m;
return copy;
}
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 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 linf_norm(Array_double *v) {
assert(v->size > 0);
double max = v->data[0];
for (size_t i = 0; i < v->size; ++i)
max = c_max(v->data[i], max);
return max;
}
double v_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 vector_distance(Array_double *v1, Array_double *v2,
double (*norm)(Array_double *)) {
Array_double *minus = minus_v(v1, v2);
double dist = (*norm)(minus);
free(minus);
return dist;
}
double l1_distance(Array_double *v1, Array_double *v2) {
return vector_distance(v1, v2, &l1_norm);
}
double l2_distance(Array_double *v1, Array_double *v2) {
return vector_distance(v1, v2, &l2_norm);
}
double linf_distance(Array_double *v1, Array_double *v2) {
return vector_distance(v1, v2, &linf_norm);
}
Array_double *copy_vector(Array_double *v) {
Array_double *copy = InitArrayWithSize(double, v->size, 0.0);
for (size_t i = 0; i < copy->size; ++i)
copy->data[i] = v->data[i];
return copy;
}
void free_vector(Array_double *v) {
free(v->data);
free(v);
}
void format_vector_into(Array_double *v, char *s) {
if (v->size == 0) {
strcat(s, "empty");
return;
}
for (size_t i = 0; i < v->size; ++i) {
char num[64];
strcpy(num, "");
sprintf(num, "%f,", v->data[i]);
strcat(s, num);
}
strcat(s, "\n");
}
double sum_v(Array_double *v) {
double sum = 0;
for (size_t i = 0; i < v->size; i++)
sum += v->data[i];
return sum;
}
int vector_equal(Array_double *a, Array_double *b) {
if (a->size != b->size)
return false;
for (size_t i = 0; i < a->size; ++i) {
if (a->data[i] != b->data[i])
return false;
}
return true;
}
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