From 6c8fbe5b1cfd062b46e92d2bf771b2edcc582d85 Mon Sep 17 00:00:00 2001
From: Sandipan Mohanty <s.mohanty@fz-juelich.de>
Date: Thu, 12 May 2022 08:50:52 +0200
Subject: [PATCH] Add day 4 material

---
 day4/ProgrammingInCXX_d4.pdf           |  Bin 0 -> 3364898 bytes
 day4/examples/K.cc                     |   41 +
 day4/examples/advent.cc                |   38 +
 day4/examples/any_demo.cc              |   55 +
 day4/examples/cards_problem.cc         |   95 +
 day4/examples/chrono_demo.cc           |   29 +
 day4/examples/dangling_pr/outer_ptr.cc |   26 +
 day4/examples/dangling_pr/ref_heap.cc  |   15 +
 day4/examples/dangling_pr/ref_local.cc |   16 +
 day4/examples/feb.cc                   |   43 +
 day4/examples/normal_distribution.cc   |   17 +
 day4/examples/opt_qsolve.cc            |   47 +
 day4/examples/seqops.cc                |   61 +
 day4/examples/sharedptr.cc             |   33 +
 day4/examples/test.dat                 | 5001 ++++++++++++++++++++++++
 day4/examples/uniqueptr.cc             |   35 +
 day4/examples/uniqueptr2.cc            |    9 +
 day4/examples/variadic_3b.cc           |   67 +
 day4/examples/variant_0.cc             |   15 +
 day4/examples/variant_1.cc             |   35 +
 day4/examples/variant_2.cc             |   47 +
 day4/examples/variant_3.cc             |   39 +
 day4/examples/variant_4.cc             |   68 +
 day4/examples/weighted_die.cc          |   17 +
 day4/examples/word_count.cc            |   21 +
 25 files changed, 5870 insertions(+)
 create mode 100644 day4/ProgrammingInCXX_d4.pdf
 create mode 100644 day4/examples/K.cc
 create mode 100644 day4/examples/advent.cc
 create mode 100644 day4/examples/any_demo.cc
 create mode 100644 day4/examples/cards_problem.cc
 create mode 100644 day4/examples/chrono_demo.cc
 create mode 100644 day4/examples/dangling_pr/outer_ptr.cc
 create mode 100644 day4/examples/dangling_pr/ref_heap.cc
 create mode 100644 day4/examples/dangling_pr/ref_local.cc
 create mode 100644 day4/examples/feb.cc
 create mode 100644 day4/examples/normal_distribution.cc
 create mode 100644 day4/examples/opt_qsolve.cc
 create mode 100644 day4/examples/seqops.cc
 create mode 100644 day4/examples/sharedptr.cc
 create mode 100644 day4/examples/test.dat
 create mode 100644 day4/examples/uniqueptr.cc
 create mode 100644 day4/examples/uniqueptr2.cc
 create mode 100644 day4/examples/variadic_3b.cc
 create mode 100644 day4/examples/variant_0.cc
 create mode 100644 day4/examples/variant_1.cc
 create mode 100644 day4/examples/variant_2.cc
 create mode 100644 day4/examples/variant_3.cc
 create mode 100644 day4/examples/variant_4.cc
 create mode 100644 day4/examples/weighted_die.cc
 create mode 100644 day4/examples/word_count.cc

diff --git a/day4/ProgrammingInCXX_d4.pdf b/day4/ProgrammingInCXX_d4.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..b0bb0f65a09cdc35fdf0f7c3398c4c2dc13d1ce1
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diff --git a/day4/examples/K.cc b/day4/examples/K.cc
new file mode 100644
index 0000000..68a80fd
--- /dev/null
+++ b/day4/examples/K.cc
@@ -0,0 +1,41 @@
+#include <functional>
+#include <iostream>
+#include <random>
+#include <vector>
+
+inline auto power(double x, unsigned N) -> double
+{
+    double ans = 1;
+    for (unsigned u = 0; u < N; ++u)
+        ans *= x;
+    return ans;
+}
+auto main() -> int
+{
+    std::vector d(1000000, 0.);
+    double mu{ 1.0 };
+    double sigma{ 35.8 };
+
+    // Fill d with random numbers distributed as a normal
+    // distribution with mu and sigma as given above.
+    std::mt19937_64 engine;
+    std::normal_distribution<> dist{mu, sigma};
+    auto gen = [&dist, &engine]() mutable {
+        return dist(engine);
+    };
+    for (auto & el : d) el = gen();
+    // ///////
+
+    double mn = 0;
+    for (auto r : d)
+        mn += r;
+    mn /= d.size();
+    double kn = 0;
+    for (auto r : d)
+        kn += power(r - mn, 4);
+    double kd = 0;
+    for (auto r : d)
+        kd += power(r - mn, 2);
+    std::cout << d.size() * kn / (kd * kd) << "\n";
+}
+
diff --git a/day4/examples/advent.cc b/day4/examples/advent.cc
new file mode 100644
index 0000000..b6a0665
--- /dev/null
+++ b/day4/examples/advent.cc
@@ -0,0 +1,38 @@
+/*
+Calculates the date of the last advent in a given
+year. Usage:
+
+(i) advent           # calculate for current year
+(ii) advent 2049     # for 2049
+*/
+
+#include <chrono>
+#include <cxx20format>
+#include <iostream>
+
+auto current_year() -> std::chrono::year
+{
+    using namespace std::chrono;
+    year_month_day date { floor<days>(system_clock::now()) };
+    return date.year();
+}
+
+auto main(int argc, char* argv[]) -> int
+{
+    using namespace std::chrono;
+    using namespace std::chrono_literals;
+    using Date = year_month_day;
+    using fmt::format;
+
+    year Y { argc == 1 ? current_year() : year {std::stoi(argv[1]) }};
+
+    Date s4 { Y / December / Sunday[4] };
+    Date s3 { Y / December / Sunday[3] };
+    Date xmas { Y / December / 25d };
+    Date lastadv { s4 >= xmas ? s3 : s4 };
+
+    std::cout << format("Last advent for the year {} falls on {}'th of December.\n",
+        static_cast<int>(Y),
+        static_cast<unsigned>(lastadv.day()));
+}
+
diff --git a/day4/examples/any_demo.cc b/day4/examples/any_demo.cc
new file mode 100644
index 0000000..52517f7
--- /dev/null
+++ b/day4/examples/any_demo.cc
@@ -0,0 +1,55 @@
+#include <any>
+#include <map>
+#include <string>
+#include <iostream>
+#if __has_include(<boost/core/demangle.hpp>)
+  #include <boost/core/demangle.hpp>
+  #define has_boost_demangle 1
+#endif
+// Uncomment the above to see the type info in a more human readable form
+using namespace std;
+using namespace std::string_literals;
+
+auto demangle(auto anyobj) -> std::string
+{
+    #ifdef has_boost_demangle
+    auto dmgnm = boost::core::demangle(anyobj.type().name());
+    #else
+    auto dmgnm = anyobj.type().name();
+    #endif
+    return "any[[" + dmgnm + "]]";
+}
+
+auto main() -> int
+{
+    any var = 1;
+    cout << "Reading int after storing int ...\n" 
+         << demangle(var) << ", value = " << any_cast<int>(var) << "\n";
+    try {
+        cout << "Trying to get a float after storing an int ... \n";
+        auto res = any_cast<float>(var);
+        cout << "extracted value = " << res << "\n";
+    } catch (const exception& err) {
+        cout << "Float cast after storing int failed. Error : " 
+             << err.what() << "\n";
+    }
+    var = "Europa"s;
+    cout << "Reading string after storing string ... \n" 
+         << demangle(var) << ", value = " << any_cast<string>(var) << "\n";
+    try {
+        cout << "Trying to get a int after storing an string  ...\n"; 
+        auto res = any_cast<int>(var);
+        cout << "extracted value = " << res << "\n";
+    } catch (const exception& err) {
+        cout << "Int cast after storing string failed. Error : " 
+             << err.what() << "\n";
+    }
+
+    map<string, any> config;
+
+    config["max_frequency_ghz"] = 3.3; // any kind of values can be stored
+    config["memory_MB"] = 16384;       // in a container expecting std::any.
+    config["fingerprint_reader"] = true; // But, you can only read it back
+                                         // if you know the type you stored!
+}
+
diff --git a/day4/examples/cards_problem.cc b/day4/examples/cards_problem.cc
new file mode 100644
index 0000000..1d3c906
--- /dev/null
+++ b/day4/examples/cards_problem.cc
@@ -0,0 +1,95 @@
+// In one card game, a deck of cards is shuffled and the first player is given "hand_size" cards.
+// Determine the probability distribution of the sum of the numerical values in the cards in the
+// hand.
+
+#include <algorithm>
+#include <array>
+#include <iomanip>
+#include <iostream>
+#include <random>
+
+constexpr size_t hand_size = 7; // Number of cards in a hand. A compile time constant in this program.
+static_assert(hand_size > 0 && hand_size <= 52, "Hand size must be a number between 1 and 52!");
+// static_assert can be used as above to ensure we do not violate assumptions made in the code by using
+// unsuitable parameters. From now on, we can code assuming that hand_size is a non-zero number no larger
+// than 52.
+
+// We are going to need to store the frequencies of the obtained sums in our computer experiment in
+// an array, such that H[i] will count how often we ended up with a sum of i. How large does the
+// array need to be ? It's a fairly simple calculation, but not a trivial one. We could write a function
+// to do it for us. By making the function a "constexpr" function, we can even make it available at
+// compile time, so that fixed sized arrays of the right length can be allocated by the compiler,
+// based on the results of the evaluation of a non-trivial function.
+constexpr auto max_sum(size_t N)
+{
+    // This function calculates the maximum sum of the numbers written on a hand of N cards.
+    size_t S = 0;
+    // A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K : 1,2,3,4,5,6,7,8,9,10,11,12,13
+    size_t largest = 13;
+    while (N > 4) {
+        S += 4 * largest; // there are at most 4 of each kind.
+        largest -= 1; // Equivalent to largest = largest-1
+        N -= 4;
+    }
+    if (N > 0)
+        S += largest * N;
+    return S;
+}
+
+auto main() -> int
+{
+    std::random_device seed; // Device random number generator, used here only to seed the pseudo-random engine.
+    std::mt19937 engine{ seed() }; // Mersenne Twister engine, seeded with a call to the device RNG
+    std::array<int, 52> deck;
+    std::iota(deck.begin(), deck.end(), 1); // Fills the deck with numbers 1..52
+    constexpr size_t maxsum = max_sum(hand_size); // hand_size is known at compile time. So, all parameters
+    // of the constexpr function max_sum are known to the compiler. Hence, it can be evaluated by the
+    // compiler and the result of the function call can be assigned to a constexpr variable.
+    // Max sum is the maximum sum obtainable for a hand of cards of size hand_size
+
+    std::array<int, maxsum + 1> frequency_of_sum{};
+    // We can now use a fixed length array to measure frequencies of different results obtained in
+    // our Monte Carlo experiment.
+
+    // We want to store the frequency of a measured sum of S at frequency_of_sum[S].
+    // But arrays in C, C++ etc. start at index 0, i.e., if A is an array, its elements are
+    // A[0], A[1], A[2] ... The element A[2] is the third element in an array, A[10] the
+    // 11'th element. So, if we want frequency_of_sum[364] to be a valid element of the
+    // array frequency_of_sum, it needs to have at least 365 elements.
+
+    constexpr size_t Ntrials = 10'000'000; // Notice how we used the ' sign to group the digits for better
+    // readability for humans. Use this feature! Stop wasting time staring at things like 1.6666666666,
+    // and wondering how many 6s there are!
+
+    // OK. Time for our Monte Carlo trials...
+    for (size_t i = 0; i < Ntrials; ++i) {
+        std::shuffle(deck.begin(), deck.end(), engine);
+        // shuffle the numbers in the array deck, using "engine" as
+        // the pseudo-random number source
+
+        // Now let's add up the first hand_size numbers
+        int sum = 0;
+        if ((i + 1) % 1000000 == 0)
+            std::cout << "Done with " << i + 1 << " shuffles.\n";
+        for (size_t j = 0; j < hand_size; ++j) {
+            auto card = deck[j];
+            // Here we end up with a number between 1 and 52. 1..13 are hearts,
+            // 14..26 are spades, 27..39 are clubs and 40..52 are diamonds. But
+            // we want to only add up the numeric values of the cards, which are
+            // between 1 and 13. The following line of code does it.
+            card = (1 + ((card - 1) % 13));
+            sum += card;
+        }
+        frequency_of_sum[sum]++;
+    }
+    // Write out the frequency table for the sum obtained in all the trials
+    std::cout << std::left << std::setw(12) << "Sum"
+              << std::left << std::setw(12) << "Frequency"
+              << std::left << std::setw(12) << "Probability\n";
+    for (size_t i = 0; i < frequency_of_sum.size(); ++i) {
+        std::cout << std::left << std::setw(12) << i
+                  << std::left << std::setw(12) << frequency_of_sum[i]
+                  << std::left << std::setw(12) << (1.0 * frequency_of_sum[i]) / Ntrials
+                  << "\n";
+    }
+}
diff --git a/day4/examples/chrono_demo.cc b/day4/examples/chrono_demo.cc
new file mode 100644
index 0000000..80158b2
--- /dev/null
+++ b/day4/examples/chrono_demo.cc
@@ -0,0 +1,29 @@
+// examples/chrono_demo.cc
+#include <algorithm>
+#include <chrono>
+#include <cxx20ranges>
+#include <iostream>
+#include <vector>
+
+constexpr auto is_prime_rec(size_t number, size_t c) -> bool
+{
+    return (c * c > number) ? true : (number % c == 0) ? false
+                                                       : is_prime_rec(number, c + 1);
+}
+constexpr auto is_prime(size_t number) -> bool
+{
+    return (number <= 1) ? false : is_prime_rec(number, 2);
+}
+
+auto main() -> int
+{
+    using namespace std::chrono;
+    std::vector<unsigned> primes;
+    auto t = steady_clock::now();
+    sr::copy(sv::iota(0UL, 10000UL) | sv::filter(is_prime), back_inserter(primes));
+    std::cout << "Primes till 10000 are ... " << '\n';
+    for (unsigned i : primes)
+        std::cout << i << '\n';
+    auto d = steady_clock::now() - t;
+    std::cout << "Prime search took " << duration<double>(d).count() << " seconds\n";
+}
diff --git a/day4/examples/dangling_pr/outer_ptr.cc b/day4/examples/dangling_pr/outer_ptr.cc
new file mode 100644
index 0000000..e2d23a6
--- /dev/null
+++ b/day4/examples/dangling_pr/outer_ptr.cc
@@ -0,0 +1,26 @@
+#include <iostream>
+#include <string>
+
+auto main(int argc, char* argv[]) -> int
+{
+    unsigned long* p = nullptr;
+    if (argc > 1) {
+        auto i = std::stoul(argv[1]);
+
+        p = &i; 
+        // Since p outlives i, storing address 
+        // of i in p is a bad idea
+
+        std::cout << "p is pointing at " << p << " storing a value " << *p << "\n";
+    } else {
+        std::cout << "Needs one integer command line argument!\n";
+    }
+
+    // At this point, if argc > 1, p is pointing to
+    // a location where there was a variable called i
+    // which has run out of scope. Accessing p here is
+    // undefined behaviour.
+    if (p)
+        std::cout << "p is pointing at " << p << " storing a value " << *p << "\n";
+}
+
diff --git a/day4/examples/dangling_pr/ref_heap.cc b/day4/examples/dangling_pr/ref_heap.cc
new file mode 100644
index 0000000..ebd4084
--- /dev/null
+++ b/day4/examples/dangling_pr/ref_heap.cc
@@ -0,0 +1,15 @@
+#include <vector>
+#include <iostream>
+
+auto main() -> int
+{
+    std::vector v{1, 2, 3};
+    const auto& vstart = v.front();
+    v.push_back(4);
+    v.push_back(5);
+    v.push_back(6);
+    v.push_back(7);
+    v.push_back(8);
+    std::cout << "Start element of v = " << vstart << "\n";
+}
+
diff --git a/day4/examples/dangling_pr/ref_local.cc b/day4/examples/dangling_pr/ref_local.cc
new file mode 100644
index 0000000..b58d4f1
--- /dev/null
+++ b/day4/examples/dangling_pr/ref_local.cc
@@ -0,0 +1,16 @@
+#include <iostream>
+#include <string>
+
+auto f(double x) -> double&
+{
+    auto y = x * x;
+    return y;
+}
+
+auto main() -> int
+{
+    auto a = 4.0;
+    auto&& z = f(a);
+    std::cout << z << "\n";
+}
+
diff --git a/day4/examples/feb.cc b/day4/examples/feb.cc
new file mode 100644
index 0000000..bae7124
--- /dev/null
+++ b/day4/examples/feb.cc
@@ -0,0 +1,43 @@
+/*
+Calculates the years in a given interval, in which
+the month of February had 5 Sundays.
+
+Usage:
+(i)   feb      # Start: current year, End: 100 years from now
+(ii)  feb 1975 # Start: 1975, End: current year
+(iii) feb 2075 # Start: current year, End: 2075
+(iv)  feb 1800 2000 # Start 1800, End 2000
+
+Build:
+clang++ -std=c++20 -stdlib=libc++ feb.cc -o feb
+
+*/
+
+#include <chrono>
+#include <iostream>
+
+auto current_year() -> std::chrono::year
+{
+    using namespace std::chrono;
+    year_month_day date { floor<days>(system_clock::now()) };
+    return date.year();
+}
+
+auto main(int argc, char* argv[]) -> int
+{
+    using namespace std::chrono;
+    using namespace std::chrono_literals;
+    auto Y0 { current_year() };
+    auto Y1 = Y0 + years{100};
+    if (argc > 1) Y1 = year{std::stoi(argv[1])};
+    if (argc > 2) Y0 = year{std::stoi(argv[2])};
+    if (Y1 < Y0) std::swap(Y1, Y0);
+
+    for (auto y = Y0; y < Y1; ++y) {
+        auto d = y / February / Sunday[5];
+        if (d.ok())
+            std::cout << static_cast<int>(y) << "\n";
+    }
+}
+
+
diff --git a/day4/examples/normal_distribution.cc b/day4/examples/normal_distribution.cc
new file mode 100644
index 0000000..e155469
--- /dev/null
+++ b/day4/examples/normal_distribution.cc
@@ -0,0 +1,17 @@
+#include <iostream>
+#include <map>
+#include <random>
+
+auto main() -> int
+{
+    // write code here so that the callable variable
+    // of name generator gives you a new pseudo-random 
+    // number distributed as a gaussian or
+    // normal distribution
+    // auto generator = ?
+    std::map<int, unsigned> H;
+    for (unsigned i = 0; i < 5000000; ++i)
+        H[static_cast<int>(std::floor(generator()))]++;
+    for (auto& i : H)
+        std::cout << i.first << " " << i.second << "\n";
+}
diff --git a/day4/examples/opt_qsolve.cc b/day4/examples/opt_qsolve.cc
new file mode 100644
index 0000000..273b5fb
--- /dev/null
+++ b/day4/examples/opt_qsolve.cc
@@ -0,0 +1,47 @@
+// examples/opt_qsolve.cc
+
+#include <iostream>
+#include <cmath>
+#include <optional>
+
+auto solve_quadratic(double a, double b, double c) 
+    -> std::optional<std::pair<double, double>>
+{
+    using namespace std;
+    optional<pair<double, double>> solution;
+    auto D = b * b - 4 * a * c;
+    if (D >= 0) {
+        auto q = -0.5 * ( b + std::copysign(std::sqrt(D), b) );
+        solution = make_pair(q / a, c / q );
+    }
+    return solution;
+}
+
+auto main(int argc, char *argv[]) -> int
+{
+    if (argc < 4) {
+        std::cerr << "Needs three real numbers as arguments!\n";
+        return 1;
+    }
+    auto c1 = std::stod(argv[1]);
+    auto c2 = std::stod(argv[2]);
+    auto c3 = std::stod(argv[3]);
+    std::cout << "Quadratic equation " << c1 << " x^2 + " << c2 << " x + " << c3 << " = 0 \n";
+    auto result = solve_quadratic(c1, c2, c3);
+    // result is an optional pair of doubles
+    if (result) {
+        // result evaluated as a condition gives true, which means the optional
+        // contains a value.
+        auto [root1, root2] = *result; 
+        // *result unpacks the inner value of the optional
+        std::cout << "has solutions\n"
+              << "x1 = " << root1 << "\n"
+              << "x2 = " << root2 << "\n";
+    } else {
+        // This block of code is executed if the condition of the if statement
+        // evaluates to false. In this case, this means the optional
+        // does not contain a value.
+        std::cout << "No solution is possible in the space of real numbers.\n";
+    }
+}
+
diff --git a/day4/examples/seqops.cc b/day4/examples/seqops.cc
new file mode 100644
index 0000000..54cb870
--- /dev/null
+++ b/day4/examples/seqops.cc
@@ -0,0 +1,61 @@
+#include <algorithm>
+#include <iostream>
+#include <iterator>
+#include <vector>
+
+// This function prints a given label and then the elements of a container.
+// How it works is a topic for a later chapter
+template <class Sequence>
+void print(Sequence C, std::string label)
+{
+    std::cout << label << "\n";
+    for (auto element : C)
+        std::cout << element << ", ";
+    std::cout << "\n";
+}
+
+int main()
+{
+    std::vector<int> v{ 1, 2, 3, 4, 5, 6, 7, 8, 9 };
+    print(v, "Vector v = (after initialization): ");
+    if (std::is_sorted(v.begin(), v.end()))
+        std::cout << "The sequence is sorted in the increasing order.\n";
+    else
+        std::cout << "The sequence is not sorted in the increasing order.\n";
+
+    std::reverse(v.begin(), v.end());
+    print(v, "After std::reverse: ");
+
+    std::rotate(v.begin(), v.begin() + 3, v.end());
+    print(v, "After std::rotate by 3");
+
+    std::sort(v.begin(), v.end());
+    print(v, "After std::sort");
+
+    std::vector<int> w{ 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 }, x, y, z;
+    print(w, "Vector w = ");
+
+    std::vector<int> m;
+    std::merge(v.begin(), v.end(), w.begin(), w.end(), std::back_inserter(m));
+    print(m, "std::merge of v and w gives ...");
+
+    std::set_union(v.begin(), v.end(), w.begin(), w.end(),
+        std::back_inserter(x));
+    print(x, "Union of v and w");
+
+    std::set_intersection(w.begin(), w.end(), v.begin(), v.end(),
+        std::back_inserter(y));
+    print(y, "Intersection of w and v");
+
+    std::set_symmetric_difference(v.begin(), v.end(),
+        w.begin(), w.end(),
+        std::back_inserter(z));
+    print(z, "Symmetric difference of v and w");
+
+    if (std::is_permutation(z.begin(), z.end(),
+            v.begin(), v.end())) {
+        std::cout << "The above sequence is a permutation of the first sequence printed.\n";
+    } else {
+        std::cout << "The above sequence is not a permutation of the first sequence printed.\n";
+    }
+}
diff --git a/day4/examples/sharedptr.cc b/day4/examples/sharedptr.cc
new file mode 100644
index 0000000..d6c27a5
--- /dev/null
+++ b/day4/examples/sharedptr.cc
@@ -0,0 +1,33 @@
+#include <iostream>
+#include <memory>
+
+struct MyStruct {
+    int vl{ 0 };
+
+    MyStruct(int i)
+        : vl{ i }
+    {
+        std::cout << "Creating MyStruct at memory address " 
+                  << (void*)this << " with data " << vl << "\n";
+    }
+    ~MyStruct()
+    {
+        std::cout << "Destroying MyStruct at memory address " 
+                  << (void*)this << " with data " << vl << "\n";
+    }
+    MyStruct()
+        : MyStruct(0)
+    {
+    }
+};
+
+auto main() -> int
+{
+    auto u1 = std::make_shared<MyStruct>(1);
+    auto u2 = u1; //ok
+    auto u3 = std::move(u1);
+    std::cout << "Data value for u3 is u3->vl = " << u3->vl << "\n";
+    std::cout << "Reference count of u1 is " << u1.use_count() << "\n";
+    std::cout << "Reference count of u2 is " << u2.use_count() << "\n";
+    std::cout << "Reference count of u3 is " << u3.use_count() << "\n";
+}
diff --git a/day4/examples/test.dat b/day4/examples/test.dat
new file mode 100644
index 0000000..c35ba17
--- /dev/null
+++ b/day4/examples/test.dat
@@ -0,0 +1,5001 @@
+MCTime temperature Etot TorsionTerm Bias HBMM HBMS Hydrophobicity ChargedSCInteraction LocExVol ExVol HelixContent BetaStrandContent rg BBRMSD Q rcrmsd
+999  4  30.811811  -10.322491  2.256914  -8.370309  -0.003132  -5.082361  0.000000  50.640329  1.692860  0.071429  0.214286  10.515714  8.782110  0.018383  1.607639
+1999  1  44.779529  -9.475666  0.562104  -0.000224  -0.191914  -3.299186  0.000000  54.229716  2.954698  0.000000  0.357143  9.746507  10.095321  0.000380  1.256918
+2999  0  54.553186  -8.498782  3.908515  0.000000  -0.137085  0.000000  -1.500000  57.553872  3.226666  0.071429  0.000000  11.159368  9.530886  0.000000  1.754868
+3999  1  36.291776  -10.402811  -0.230861  -2.555276  -0.756650  -6.495055  0.000000  54.450150  2.282278  0.142857  0.357143  8.819598  5.631409  0.130531  1.263509
+4999  6  29.481230  -10.268726  -0.123918  -8.021228  -0.127032  -7.385486  -2.992718  53.394416  5.005923  0.357143  0.142857  7.954771  4.219421  0.015849  1.252336
+5999  2  36.680854  -7.458963  -0.328530  -3.242356  -0.527682  -6.935322  -1.500000  54.364684  2.309024  0.000000  0.071429  8.199010  4.577997  0.004758  1.841197
+6999  6  30.592687  -12.178216  -0.474533  -4.093303  0.000000  -4.221927  0.000000  49.576392  1.984273  0.000000  0.142857  9.960739  7.458251  0.099787  1.705272
+7999  0  43.900301  -8.758000  -0.413994  0.000000  0.000000  -1.155437  0.000000  53.172655  1.055077  0.071429  0.142857  13.256181  11.371625  0.000000  1.482614
+8999  2  42.746481  -8.489611  -0.416897  -0.866167  -0.014015  -2.877049  -1.312364  55.263532  1.459053  0.000000  0.071429  8.549051  5.721667  0.000010  1.708860
+9999  1  27.750635  -10.906652  0.636558  -12.020201  -1.775107  -0.681860  -2.152901  52.949079  1.701720  0.428571  0.142857  6.990318  5.171987  0.065710  2.084820
+10999  2  36.382437  -13.353811  0.029748  -1.518806  -0.720069  -2.464342  0.000000  52.804622  1.605094  0.071429  0.142857  10.061382  8.330403  0.000000  1.815703
+11999  1  36.207058  -10.776231  -0.446172  -2.628382  -0.141272  0.000000  -1.479644  50.616284  1.062476  0.000000  0.357143  12.299269  9.131720  0.000000  1.596094
+12999  1  37.762959  -10.277314  0.904245  -5.464110  0.000000  -1.754162  0.000000  53.454030  0.900270  0.500000  0.071429  9.425407  8.871485  0.000002  2.037824
+13999  1  35.820446  -9.886489  0.042648  -3.507900  -1.464837  -5.248498  0.000000  54.373367  1.512154  0.071429  0.142857  8.542711  2.496626  0.533387  0.983904
+14999  7  26.157145  -12.435215  0.708311  -7.323022  -4.175820  -8.651447  -3.362095  57.460093  3.936341  0.071429  0.071429  7.048519  3.686031  0.029268  1.331827
+15999  3  38.263480  -12.263317  -0.334824  -4.358421  -0.008588  -3.139272  0.000000  56.389705  1.978197  0.142857  0.285714  8.904331  6.656103  0.006096  0.833543
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diff --git a/day4/examples/uniqueptr.cc b/day4/examples/uniqueptr.cc
new file mode 100644
index 0000000..b057d6c
--- /dev/null
+++ b/day4/examples/uniqueptr.cc
@@ -0,0 +1,35 @@
+#include <iostream>
+#include <memory>
+
+struct MyStruct {
+    MyStruct(int i)
+        : vl{ i }
+    {
+        std::cout << "Creating MyStruct at memory address "
+                  << static_cast<void*>(this) << " with data " << vl << "\n";
+    }
+    ~MyStruct()
+    {
+        std::cout << "Destroying MyStruct at memory address "
+                  << static_cast<void*>(this) << " with data " << vl << "\n";
+    }
+    int vl = 0;
+    MyStruct()
+        : MyStruct(0)
+    {
+    }
+};
+
+auto main() -> int
+{
+    auto u1 = std::make_unique<MyStruct>(1);
+    // The integer passed as argument is forwarded to the constructor of MyStruct
+    //    auto u2 = u1; //won't compile
+    auto u3 = std::move(u1);
+    std::cout << "Data value for u3 is u3->vl = " << u3->vl << "\n";
+    auto u4 = std::make_unique<MyStruct[]>(4);
+    // When we want to create an array with make_unique, we have to express
+    // this wish through the template parameter to make_unique. Here we see
+    // that u4 becomes an array, even if we are simply passing one integer
+    // as an argument, like we did for u1.
+}
diff --git a/day4/examples/uniqueptr2.cc b/day4/examples/uniqueptr2.cc
new file mode 100644
index 0000000..7b146e8
--- /dev/null
+++ b/day4/examples/uniqueptr2.cc
@@ -0,0 +1,9 @@
+#include <memory>
+#include <iostream>
+
+auto main() -> int
+{
+    auto u = std::make_unique<double[]>(1024);
+    for (auto i = 0UL; i < 1024UL; ++i) u[i] = i;
+    std::cout << u[334] << "\n";
+}
diff --git a/day4/examples/variadic_3b.cc b/day4/examples/variadic_3b.cc
new file mode 100644
index 0000000..7104b49
--- /dev/null
+++ b/day4/examples/variadic_3b.cc
@@ -0,0 +1,67 @@
+#include <array>
+#include <iostream>
+#include <list>
+#include <numeric>
+#include <concepts>
+
+template <class T>
+concept Incrementable = requires(T ex) {
+    { ++ex };
+};
+
+template <Incrementable... Types>
+void increment_all(Types&... args) { (++args, ...); }
+
+// For function h() below, we can have as many parameters as
+// we want, but those parameters should all be of the same type.
+// To express this requirement, we create a variable template
+// AllSame_v<T...> which has a value true if all its template
+// parameters are true.
+//
+template <class... Ts>
+constexpr bool AllSame_v = true; // general template
+template <class First, class Second, class... Rest> 
+constexpr bool AllSame_v<First, Second, Rest...> // specialization
+    = std::is_same_v<First, Second> && AllSame_v<Second, Rest...>;
+
+// Now the concept AllSame can be expressed as follows
+template <class... Ts> concept AllSame = AllSame_v<Ts...>;
+
+template <class... Ts>
+void h(Ts&&... args) requires AllSame<Ts...>
+{
+    std::cout << "Printing parameters passed to h \n";
+    ((std::cout << args << "\t"), ...);
+    std::cout << "\n";
+    [=, &args...] { return increment_all(args...); }();
+
+    std::cout << "\nModified value due to call to increment_all() through lambda \n";
+    ((std::cout << args << "\t"), ...);
+    std::cout << "\n";
+
+    std::cout << "Creating std::array out of parameters...\n";
+    std::array t { args... };
+
+    std::cout << "\nsum = " << std::reduce(t.begin(), t.end()) << "\n";
+}
+
+auto main() -> int
+{
+    int i = 0;
+    std::list l { 0, 2, 4, 8, 16 };
+    auto it = l.begin();
+    std::cout << "i = " << i << "; iterator it points to list element of value " << (*it) << "\n";
+    std::cout << "increment_all(i, it)\n";
+    increment_all(i, it);
+    std::cout << "i = " << i << "; iterator it points to list element of value " << (*it) << "\n";
+    std::cout << "Calling h(1, 2, 3, 4)\n";
+    h(1, 2, 3, 4); // No problems!
+    // h(1, 2, 3, 4.); // Problems!
+    // h(i, 2, 3, 4); // Problems!
+    int j = 0;
+    h(i, j); // No problems!
+    const int k{7};
+    std::cout << "Introducing a constant integer k = " << k << "\n";
+    // h(k, k); // Problems!
+    // h(i, j, k); // Problems!
+}
diff --git a/day4/examples/variant_0.cc b/day4/examples/variant_0.cc
new file mode 100644
index 0000000..b340419
--- /dev/null
+++ b/day4/examples/variant_0.cc
@@ -0,0 +1,15 @@
+#include <iostream>
+#include <string>
+#include <variant>
+
+auto main() -> int
+{
+    std::variant<long, double> V{ 0.55 };
+    if (auto lptr = std::get_if<long>(&V)) {
+        std::cout << "Stores a long, value = " << *lptr << "\n";
+    } else if (auto dptr = std::get_if<double>(&V)) {
+        std::cout << "Stores a double, value = " << *dptr << "\n";
+    } else
+        std::cerr << "If you see this, someone forgot to handle "
+                  << "all possible alternatives in the variant!\n";
+}
diff --git a/day4/examples/variant_1.cc b/day4/examples/variant_1.cc
new file mode 100644
index 0000000..577c8f8
--- /dev/null
+++ b/day4/examples/variant_1.cc
@@ -0,0 +1,35 @@
+#include <iostream>
+#include <variant>
+#include <array>
+#include <cmath>
+
+int main()
+{
+    using namespace std;
+    array<variant<int, double>, 6> powers{8, 9.5, 11, 12.5, 14, 15.5};
+    std::cout << "Enter a small real number (< 2.0): ";
+    double x;
+    std::cin >> x;
+    for (auto i : powers) {
+        if (std::holds_alternative<int>(i)) {
+            auto val = std::get<int>(i);
+            std::cout << val << " is an integer.\n";
+            std::cout << "Calculating power by using the loop strategy: ";
+            double ans = 1.;
+            if (val > 0) {
+                for (int i = 0; i<val; ++i) ans *= x;
+            } else {
+                double mul = 1.0 / x;
+                for (int i = 0; i>val; --i) ans *= mul;
+            }
+            std::cout << x << "^" << val << " = " << ans << "\n";
+            
+        } else if (std::holds_alternative<double>(i)) {
+            auto val = std::get<double>(i);
+            std::cout << val << " is a double.\n";
+            std::cout << "Calculating power by using log and exp: ";
+            std::cout << x << "^" << val << " = " << exp(val * log(x)) << "\n";
+        }
+    }
+}
+
diff --git a/day4/examples/variant_2.cc b/day4/examples/variant_2.cc
new file mode 100644
index 0000000..5c5f464
--- /dev/null
+++ b/day4/examples/variant_2.cc
@@ -0,0 +1,47 @@
+#include <array>
+#include <cmath>
+#include <iostream>
+#include <type_traits>
+#include <variant>
+
+struct pow_calc {
+    double x = 0.;
+    pow_calc(double xx)
+        : x{ xx }
+    {
+    }
+    void operator()(int val)
+    {
+        std::cout << val << " is an integer.\n";
+        std::cout << "Calculating power by using the loop strategy: ";
+        double ans = 1.;
+        if (val > 0) {
+            for (int i = 0; i < val; ++i)
+                ans *= x;
+        } else {
+            double mul = 1.0 / x;
+            for (int i = 0; i > val; --i)
+                ans *= mul;
+        }
+        std::cout << x << "^" << val << " = " << ans << "\n";
+    }
+    void operator()(double val)
+    {
+        std::cout << val << " is a double.\n";
+        std::cout << "Calculating power by using log and exp: ";
+        std::cout << x << "^" << val << " = " << exp(val * log(x)) << "\n";
+    }
+};
+
+auto main() -> int
+{
+    using namespace std;
+    array<variant<int, double>, 6> powers{ 8, 9.5, 11, 12.5, 14, 15.5 };
+    std::cout << "Enter a small real number (< 2.0): ";
+    double x;
+    std::cin >> x;
+
+    for (auto i : powers) {
+        std::visit(pow_calc{ x }, i);
+    }
+}
diff --git a/day4/examples/variant_3.cc b/day4/examples/variant_3.cc
new file mode 100644
index 0000000..96d0791
--- /dev/null
+++ b/day4/examples/variant_3.cc
@@ -0,0 +1,39 @@
+#include <array>
+#include <cmath>
+#include <iostream>
+#include <type_traits>
+#include <variant>
+
+int main()
+{
+    using namespace std;
+    array<variant<int, double>, 6> powers { 8, 9.5, 11, 12.5, 14, 15.5 };
+    std::cout << "Enter a small real number (< 2.0): ";
+    double x;
+    std::cin >> x;
+
+    for (auto i : powers) {
+        std::visit([x](auto val) {
+            if constexpr (is_same_v<int, decltype(val)>) {
+                std::cout << val << " is an integer.\n";
+                std::cout << "Calculating power by using the loop strategy: ";
+                double ans = 1.;
+                if (val > 0) {
+                    for (int i = 0; i < val; ++i)
+                        ans *= x;
+                } else {
+                    double mul = 1.0 / x;
+                    for (int i = 0; i > val; --i)
+                        ans *= mul;
+                }
+                std::cout << x << "^" << val << " = " << ans << "\n";
+
+            } else if constexpr (is_same_v<double, decltype(val)>) {
+                std::cout << val << " is a double.\n";
+                std::cout << "Calculating power by using log and exp: ";
+                std::cout << x << "^" << val << " = " << exp(val * log(x)) << "\n";
+            }
+        },
+            i);
+    }
+}
diff --git a/day4/examples/variant_4.cc b/day4/examples/variant_4.cc
new file mode 100644
index 0000000..b1e94fe
--- /dev/null
+++ b/day4/examples/variant_4.cc
@@ -0,0 +1,68 @@
+#include <array>
+#include <cmath>
+#include <iostream>
+#include <type_traits>
+#include <variant>
+
+// For use as a "visitor", we create a variadic template class, with a
+// variadic list of bases. The my_stapler class only imports the
+// operator() from each of the bases.
+template <class... Ts>
+struct my_stapler : Ts... {
+    using Ts::operator()...;
+};
+
+// The following statement is called a deduction rule : it means, "Hey, compiler!
+// if you see an expression which looks like my_stapler{_, _, _ ...},
+// interpret it as a constructor call for the class my_stapler<_, _, _ ...>".
+template <class... Ts>
+my_stapler(Ts...) -> my_stapler<Ts...>;
+
+// With the above two statements, we have a mechanism to manufacture a
+// new type from a comma separated list of typenames of types which have
+// an overloaded operator(). E.g.,
+// struct A { auto operator(int i) const { return i; } };
+// struct B { auto operator(double d) const { return d; } };
+// Then my_stapler{A, B} creates an object of type my_stapler<A, B>,
+// which, because of the definition of my_stapler above, has two
+// operator() in it, one taking an int argument inherited from A, the
+// second taking a double, inherited from B.
+
+auto main() -> int
+{
+    using namespace std;
+    array<variant<int, double>, 6> powers { 8, 9.5, 11, 12.5, 14, 15.5 };
+    cout << "Enter a small real number (< 2.0): ";
+    double x;
+    cin >> x;
+
+    for (auto power : powers) {
+        visit(
+            // my_stapler needs a comma separated list of classes with operator()
+            // overloaded. Lambda functions are locally created functionals which
+            // fit the bill.
+            my_stapler {
+                [x](int val) { // first lambda handles situations when the content is int
+                    cout << val << " is an integer.\n";
+                    cout << "Calculating power by using the loop strategy: ";
+                    double ans = 1.;
+                    if (val > 0) {
+                        for (int i = 0; i < val; ++i)
+                            ans *= x;
+                    } else {
+                        double mul = 1.0 / x;
+                        for (int i = 0; i > val; --i)
+                            ans *= mul;
+                    }
+                    cout << x << "^" << val << " = " << ans << "\n";
+
+                },
+                [x](double val) { // the next lambda handles a variant when the content is double
+                    cout << val << " is a double.\n";
+                    cout << "Calculating power by using log and exp: ";
+                    cout << x << "^" << val << " = " << exp(val * log(x)) << "\n";
+                } // and so on, until we have exhausted all types in the variant.
+            },
+            power);
+    }
+}
diff --git a/day4/examples/weighted_die.cc b/day4/examples/weighted_die.cc
new file mode 100644
index 0000000..a92ff26
--- /dev/null
+++ b/day4/examples/weighted_die.cc
@@ -0,0 +1,17 @@
+#include <array>
+#include <iostream>
+#include <random>
+
+int main()
+{
+    std::array<unsigned, 6> freq{ 0, 0, 0, 0, 0, 0 };
+    // Fill in the code needed so that we choose the
+    // different sides of the die with probabilities
+    // 0.3, 0.2, 0.2, 0.1, 0.1, 0.1 .
+    // We select randomly by calling gen()
+
+    for (unsigned long i = 0; i < 10'000'000; ++i)
+        freq[gen()]++;
+    for (unsigned f : freq)
+        std::cout << f << std::endl;
+}
diff --git a/day4/examples/word_count.cc b/day4/examples/word_count.cc
new file mode 100644
index 0000000..7cdc5cd
--- /dev/null
+++ b/day4/examples/word_count.cc
@@ -0,0 +1,21 @@
+#include <fstream>
+#include <iomanip>
+#include <iostream>
+#include <map>
+#include <string>
+
+auto main(int argc, char* argv[]) -> int
+{
+    std::ifstream fin(argv[1]);
+    std::map<std::string, unsigned> freq;
+    std::string s;
+
+    while (fin >> s)
+        freq[s]++;
+
+    for (auto&& [word, count] : freq)
+        std::cout << std::setw(12) << word
+                  << std::setw(4) << ':'
+                  << std::setw(12) << count
+                  << "\n";
+}
-- 
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