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dino.celebic 2025-11-03 22:35:52 +01:00
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ex1/ABCEFG/skalar_stl/mylib.h
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#pragma once
#include <cassert> // assert
#include <vector>
#include <iostream>
#include <cmath>
#include <tuple>
#include <string>
#include <algorithm>
#include <fstream>
#include <stdexcept>
#include <list>
using namespace std;
// -------------- Task A --------------
// Returns arithmetic, geometric and harmonic mean for 3 values a,b,c.
tuple<double, double, double> means0(double a, double b, double c);
// Returns arithmetic, geometric and harmonic mean for a vector.
tuple<double, double, double> means(const vector<double>& v);
// -------------- Task B --------------
/**
This function opens the ASCII-file named @p file_name and reads the
double data into the C++ vector @p v.
If the file @p file_name does not exist then the code stops with an appropriate message.
@param[in] file_name name of the ASCII-file
@param[out] v C++ vector with double values
*/
void read_vector_from_file(const string& file_name, vector<double>& v);
/**
This function opens the ASCII-file named @p file_name and rewrites its with the
double data from the C++ vector @p v.
If there are problems in opening/generating file @p file_name
then the code stops with an appropriate message.
@param[in] file_name name of the ASCII-file
@param[in] v C++ vector with double values
*/
void write_vector_to_file(const string& file_name, const vector<double>& v);
/**
Fills the double-vector @p v with data from an input stream @p istr until this input stream
ends regularily. The vector is cleared and its memory is automatically allocated.
@param[in] istr input stream
@param[out] v C++ vector with double values
@warning An exception is thrown in case of wrong data format or corrupted data.
*/
void fill_vector(istream& istr, vector<double>& v);
// -------------- Task C --------------
// Sums up all positive integers less or equal n which are multiples of 3 or of 5 (including or!) by brute force.
long int sum_of_spec(int n);
// Sums up all positive integers less or equal n which are multiples of 3 or of 5 (including or!) by inclusion-exclusion principle.
double formula(int n);
// -------------- Task E --------------
// Inserts n random numbers into sorted vector v such that v remains sorted.
void insert_into_vector(vector<int>& vec, int n);
// Inserts n random numbers into sorted list such that the list remains sorted.
void insert_into_list(list<int>& lst, int n);
// -------------- Task F --------------
// Counts number of possible decompositions with 2 primes that sum up to k.
int single_goldbach(int k);
// Counts number of possible decompositions with 2 primes that sum up to k for all even numbers k \in {4,...,n}.
vector<int> count_goldbach(int n);
// Prints all decompositions of k.
void print_decomps(int k);
// -------------- Task G --------------
// Sigmoid function 1/(1+exp(-x))
double sigmoid(double x);
class DenseMatrix {
private:
double sigmoid(double x);
size_t rows;
size_t cols;
vector<double> matrix;
public:
DenseMatrix(size_t n, size_t m); // Constructor
vector<double> Mult(const vector<double>& vec) const;
vector<double> MultT(const vector<double>& vec) const;
void print() const;
};
class DenseMatrix2 {
private:
size_t rows;
size_t cols;
vector<double> u_;
vector<double> v_;
public:
DenseMatrix2(vector<double> const u, vector<double> const v); // Constructor
vector<double> Mult(const vector<double>& vec) const;
vector<double> MultT(const vector<double>& vec) const;
};