571 lines
15 KiB
C++
571 lines
15 KiB
C++
#pragma once
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#include <memory>
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#include <string_view>
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#include <cstring>
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#include <cstdio>
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#include <cstdint>
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#ifdef __DEBUG
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#include <stdexcept>
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#endif
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namespace asp {
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template<typename T>
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struct Array {
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std::shared_ptr<T[]> data;
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size_t length = 0;
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constexpr Array(void) noexcept = delete;
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constexpr Array(const size_t& size) noexcept : data(std::shared_ptr<T[]>(new T[size])), length(size) {
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#ifdef __DEBUG
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printf("Creating array of size %lu\n", size);
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#endif
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}
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constexpr Array(const std::initializer_list<size_t>& other) noexcept : data(std::shared_ptr<T[]>(new T[other.size()])), length(other.size()) {
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#ifdef __DEBUG
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printf("Copying array of size %lu\n", other.size());
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#endif
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memcpy(data.get(), other.begin(), length * sizeof(T));
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}
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constexpr Array(const Array<T>& other) noexcept : data(std::shared_ptr<T[]>(new T[other.length])), length(other.length) {
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#ifdef __DEBUG
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printf("Copying array of size %lu\n", other.length);
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#endif
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memcpy(data.get(), other.data.get(), length * sizeof(T));
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}
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constexpr Array(Array&& other) noexcept {
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#ifdef __DEBUG
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printf("Moving array of size %lu\n", other.length);
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#endif
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data = other.data;
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length = other.length;
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other.data = nullptr;
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other.length = 0;
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}
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constexpr T& operator[](const size_t& index) const {
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#ifdef __DEBUG
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if (index > length) {
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fprintf(stderr, "Index %ld out of range in Array of length %ld !\n", index, length);
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throw std::out_of_range("Index out of range !");
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}
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#endif
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return data.get()[index];
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}
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};
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template<typename T>
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constexpr int32_t print(const Array<T>& a, const char* const format) noexcept {
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int32_t num_written = 0;
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num_written += printf("[");
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char formatter[256] = { 0 };
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sprintf(formatter, "%s,", format);
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for (size_t i = 0; i < a.length; ++i)
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num_written += printf(formatter, a[i]);
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sprintf(formatter, "%s]\n", format);
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num_written += printf(formatter, a[a.length - 1]);
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return num_written;
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}
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constexpr int32_t print(const Array<uint16_t>& a) noexcept {
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return print(a, "%b");
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}
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constexpr int32_t print(const Array<int32_t>& a) noexcept {
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return print(a, "%i");
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}
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constexpr int32_t print(const Array<uint32_t>& a) noexcept {
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return print(a, "%u");
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}
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constexpr int32_t print(const Array<uint64_t>& a) noexcept {
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return print(a, "%lu");
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}
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constexpr int32_t print(const Array<int16_t>& a) noexcept {
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return print(a, "%i");
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}
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constexpr int32_t print(const std::string_view& s) noexcept {
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return printf("%s\n", s.data());
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}
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constexpr int32_t print(const char* const s) noexcept {
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return printf("%s\n", s);
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}
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template<typename T>
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constexpr T& max(const Array<T>& a) noexcept {
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T& max_el = a[0];
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for (size_t i = 1; i < a.length; ++i)
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if (a[i] > max_el)
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max_el = a[i];
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return max_el;
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}
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template<typename T>
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constexpr T& min(const Array<T>& a) noexcept {
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T& max_el = a[0];
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for (size_t i = 1; i < a.length; ++i)
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if (a[i] < max_el)
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max_el = a[i];
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return max_el;
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}
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template<typename T, typename F>
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constexpr Array<T>& map(Array<T>& a, const F& fnc) noexcept {
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for (size_t i = 0; i < a.length; ++i)
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a[i] = fnc(i, a[i]);
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return a;
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}
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template<typename T, typename F>
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constexpr void foreach(const Array<T>& a, const F& fnc) noexcept {
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for (size_t i = 0; i < a.length; ++i)
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fnc(i, a[i]);
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}
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inline Array<size_t> range(const size_t& n) noexcept {
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Array<size_t> a(n);
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return map(a, [](const size_t& i, const size_t&) -> const size_t& {
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return i;
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});
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}
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template<typename T>
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constexpr void swap(T* const a, T* const b) noexcept {
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const T temp = *a;
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*a = *b;
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*b = temp;
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}
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template<typename T>
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constexpr void bubble_sort(const Array<T>& a) noexcept {
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size_t j = 0;
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for (size_t i = 0; i < a.length; ++i) {
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bool swapped = false;
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for (j = i + 1; j < a.length; ++j)
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if (a[i] > a[j]) {
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swap(&a[i], &a[j]);
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swapped = true;
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}
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if (!swapped)
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break;
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}
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}
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template<typename T>
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Array<size_t> bubble_sort_arg(const Array<T>& a) noexcept {
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Array<size_t> indices = range(a.length);
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size_t j;
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for (size_t i = 0; i < a.length; ++i) {
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bool swapped = false;
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for (j = i + 1; j < a.length; ++j)
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if (a[i] > a[j]) {
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swap(&indices[i], &indices[j]);
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swap(&a[i], &a[j]);
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swapped = true;
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}
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if (!swapped)
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break;
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}
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return indices;
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}
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template<typename T>
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constexpr size_t qs_partition(const Array<T>& a, const size_t& l, const size_t& h) noexcept {
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size_t i = l - 1;
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for (size_t j = l; j <= h; ++j)
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if (a[j] < a[h])
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swap(&a[++i], &a[j]);
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swap(&a[++i], &a[h]);
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return i;
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}
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template<typename T>
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constexpr void quicksort(const Array<T>& a, const size_t& l, const size_t& h) noexcept {
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if (l >= h)
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return;
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const size_t p = qs_partition(a, l, h);
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if (p - 1 <= h)
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quicksort(a, l, p - 1);
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quicksort(a, p + 1, h);
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}
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template<typename T>
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constexpr void quicksort(const Array<T>& a) noexcept {
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quicksort(a, 0, a.length - 1);
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}
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template<typename T>
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constexpr void quicksort_iter(const Array<T>& a, const size_t& l, const size_t& h) noexcept {
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// Create an auxiliary stack
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const size_t total = h - l + 1;
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// push initial values of l and h to stack
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size_t* const stack = new size_t[total]{l, h};
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// initialize top of stack
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size_t top = 1;
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size_t low = l, high = h;
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// Keep popping from stack while is not empty
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while (top <= total) {
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// Pop h and l
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high = stack[top--];
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low = stack[top--];
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if(low >= high)
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break;
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// Set pivot element at its correct position
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// in sorted array
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const size_t p = qs_partition(a, low, high);
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// If there are elements on left side of pivot,
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// then push left side to stack
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if (p - 1 > low && p - 1 < total) {
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stack[++top] = low;
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stack[++top] = p - 1;
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}
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// If there are elements on right side of pivot,
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// then push right side to stack
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if (p + 1 < high) {
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stack[++top] = p + 1;
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stack[++top] = high;
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}
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}
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delete[] stack;
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}
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template<typename T>
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constexpr void quicksort_iter(const Array<T>& a) noexcept {
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quicksort_iter(a, 0, a.length - 1);
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}
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template<typename T>
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constexpr size_t qs_arg_partition(const Array<T>& a, const Array<size_t>& indices, const size_t& l, const size_t& h) noexcept {
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size_t i = l - 1;
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for (size_t j = l; j <= h; ++j)
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if (a[j] < a[h]){
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swap(&a[++i], &a[j]);
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swap(&indices[i], &indices[j]);
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}
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swap(&indices[++i], &indices[h]);
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swap(&a[i], &a[h]);
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return i;
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}
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template<typename T>
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constexpr void quicksort_arg(const Array<T>& a, const Array<size_t>& indices, const size_t& l, const size_t& h) noexcept {
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if (l >= h)
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return;
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const size_t p = qs_arg_partition(a, indices, l, h);
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if (p - 1 <= h)
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quicksort_arg(a, indices, l, p - 1);
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quicksort_arg(a, indices, p + 1, h);
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}
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template<typename T>
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Array<size_t> quicksort_arg(const Array<T>& other, const size_t& l, const size_t& h) noexcept {
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Array<size_t> indices = range(other.length);
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quicksort_arg(other, indices, l, h);
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return indices;
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}
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template<typename T>
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Array<size_t> quicksort_arg(const Array<T>& a) noexcept {
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return quicksort_arg(a, 0, a.length - 1);
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}
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template<typename T>
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constexpr void quicksort_arg_iter(const Array<T>& a, const Array<size_t>& indices, const size_t& l, const size_t& h) noexcept {
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// Create an auxiliary stack
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const size_t total = h - l + 1;
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// push initial values of l and h to stack
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size_t* const stack = new size_t[total]{l,h};
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// initialize top of stack
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size_t top = 1, low = l, high = h;
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// Keep popping from stack while is not empty
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while (top <= total) {
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// Pop h and l
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high = stack[top--];
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low = stack[top--];
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if(low >= high)
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break;
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// Set pivot element at its correct position
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// in sorted array
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const size_t p = qs_arg_partition(a, indices, low, high);
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// If there are elements on left side of pivot,
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// then push left side to stack
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if (p - 1 > low && p - 1 < total) {
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stack[++top] = low;
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stack[++top] = p - 1;
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}
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// If there are elements on right side of pivot,
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// then push right side to stack
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if (p + 1 < high) {
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stack[++top] = p + 1;
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stack[++top] = high;
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}
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}
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delete[] stack;
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}
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template<typename T>
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Array<size_t> quicksort_arg_iter(const Array<T>& a) noexcept {
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Array<size_t> indices = range(a.length);
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quicksort_arg_iter(a, indices, 0, a.length - 1);
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return indices;
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}
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template<typename T>
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struct ArgVal {
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size_t indice;
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T val;
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constexpr ArgVal(void) noexcept = default;
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constexpr ArgVal(const size_t& _i, const T& _v) noexcept : indice(_i), val(_v) {}
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constexpr bool operator>(const ArgVal<T>& other) const noexcept {
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return std::move(val > other.val);
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}
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constexpr bool operator<(const ArgVal<T>& other) const noexcept {
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return std::move(val < other.val);
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}
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constexpr bool operator>=(const ArgVal<T>& other) const noexcept {
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return std::move(val >= other.val);
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}
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constexpr bool operator<=(const ArgVal<T>& other) const noexcept {
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return std::move(val <= other.val);
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}
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};
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template<typename T>
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constexpr void merge(const Array<T>& a, const size_t& l, const size_t& m, const size_t& r) noexcept {
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Array<T> left_arr(m - l + 1);
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memcpy(&left_arr.data[0], &a[l], left_arr.length * sizeof(T));
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Array<T> right_arr(r - m);
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memcpy(&right_arr.data[0], &a[m + 1], right_arr.length * sizeof(T));
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size_t i_a0 = 0, i_a1 = 0, i = l;
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// Merge the temp arrays back size_to array[left..right]
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for (; i_a0 < left_arr.length && i_a1 < right_arr.length; ++i)
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a[i] = left_arr[i_a0] <= right_arr[i_a1] ? left_arr[i_a0++] : right_arr[i_a1++];
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//
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// Copy the remaining elements of left[], if there are any
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const size_t leftover = left_arr.length - i_a0;
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memcpy(&a[i], &left_arr[i_a0], leftover * sizeof(T));
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// Copy the remaining elements of right[], if there are any
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memcpy(&a[i + leftover], &right_arr[i_a1], (right_arr.length - i_a1) * sizeof(T));
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}
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template<typename T>
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constexpr void mergesort(const Array<T>& a, const size_t& l, const size_t& r) noexcept {
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if (l >= r)
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return;
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const size_t m = l + (r - l) / 2;
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mergesort(a, l, m);
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mergesort(a, m + 1, r);
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merge(a, l, m, r);
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}
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template<typename T>
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constexpr void mergesort(const Array<T>& a) noexcept {
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mergesort(a, 0, a.length - 1);
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}
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template<typename T>
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Array<size_t> mergesort_arg(const Array<T>& a, const size_t& l, const size_t& r) noexcept {
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Array<ArgVal<T>> temp_vals(a.length);
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map(temp_vals, [&a](const size_t& i, const ArgVal<T>&) -> const ArgVal<T> {
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return ArgVal<T>(i, a[i]);
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});
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mergesort(temp_vals, l, r);
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Array<size_t> indices(a.length);
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return std::move(map(indices, [&temp_vals](const size_t& i, const size_t&) -> size_t {
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return temp_vals[i].indice;
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}));
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}
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template<typename T>
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Array<size_t> mergesort_arg(const Array<T>& a) noexcept {
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return mergesort_arg(a, 0, a.length - 1);
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}
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template<typename T>
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constexpr void insertion_sort(const Array<T>& a) noexcept {
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size_t j = 0;
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for(size_t i = 1; i < a.length; ++i) {
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T key = a[i];
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for(j = i; j > 0 && a[j - 1] > key; --j)
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a[j] = a[j - 1];
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a[j] = key;
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}
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}
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template<typename T>
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Array<size_t> insertion_argsort(const Array<T>& a) noexcept {
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Array<size_t> indices = range(a.length);
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size_t j = 0;
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for(size_t i = 1; i < a.length; ++i){
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for(j = i; j > 0 && a[indices[j - 1]] > a[indices[i]]; --j)
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indices[j] = indices[j - 1];
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indices[j] = i;
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}
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return indices;
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}
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template<typename T>
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constexpr void counting_sort(const Array<T>& a) noexcept {
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const size_t N = a.length;
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const T M = max(a);
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const T exp = 10;
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const T d = 128;
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Array<T> countArray(M);
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memset(&countArray[0], 0, M * sizeof(T));
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foreach(a, [&countArray](const size_t, const T val) -> void {
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++countArray[val];
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});
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for (T i = 1; i <= M; ++i)
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countArray[i] += countArray[i - 1];
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Array<T> output(N);
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for (size_t i = N - 1; i > 0; --i){
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output[countArray[a[i]] - 1] = a[i];
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--countArray[a[i]];
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}
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memmove(&a[0], &output[0], a.length * sizeof(T));
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}
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template<typename T>
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Array<size_t> counting_sort_arg(const Array<T>& a) noexcept {
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Array<size_t> indices = range(a.length);
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return indices;
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}
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inline void countsort(int a[], int n, int pos){
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int* output = new int[n + 1];
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int max = (a[0] / pos) % 10;
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for (int i = 1; i < n; i++) {
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if (((a[i] / pos) % 10) > max)
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max = a[i];
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}
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int* count = new int[max + 1];
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for (int i = 0; i < max; ++i)
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count[i] = 0;
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for (int i = 0; i < n; i++)
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count[(a[i] / pos) % 10]++;
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for (int i = 1; i < 10; i++)
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count[i] += count[i - 1];
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for (int i = n - 1; i >= 0; i--) {
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output[count[(a[i] / pos) % 10] - 1] = a[i];
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count[(a[i] / pos) % 10]--;
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}
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for (int i = 0; i < n; i++)
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a[i] = output[i];
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delete[] output;
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delete[] count;
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}
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// template<typename T>
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// constexpr void radix_sort_256(T* a, const size_t& n) noexcept {
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// //template<typename T>
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// //void radix_sort(const Array<int32_t>& a) noexcept {
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// if (n <= 1)
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// //if (a.length <= 1)
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// return;
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//
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// T* output = new T[n]; // output array
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// size_t* const count = new size_t[256];
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// T* originalArr = a; // So we know which was input
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//
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// for (size_t shift = 0, s = 0; shift < 4; shift++, s += 8) {
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// // Zero the counts
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// for (size_t i = 0; i < 256; i++)
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// count[i] = 0;
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//
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// // Store count of occurrences in count[]
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// for (size_t i = 0; i < n; i++)
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// count[(a[i] >> s) & 0xff]++;
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//
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// // Change count[i] so that count[i] now contains
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// // actual position of this digit in output[]
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// for (size_t i = 1; i < 256; i++)
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// count[i] += count[i - 1];
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//
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// // Build the output array
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// for (int32_t i = n - 1; i >= 0; i--) {
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// // precalculate the offset as it's a few instructions
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// const size_t idx = (a[i] >> s) & 0xff;
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//
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// // Subtract from the count and store the value
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// output[--count[idx]] = a[i];
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// }
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//
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// // Copy the output array to input[], so that input[]
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// // is sorted according to current digit
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//
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// // We can just swap the pointers
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// swap(a, output);
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// }
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//
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// // If we switched posize_ters an odd number of times,
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// // make sure we copy before returning
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// if (originalArr == output) {
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// swap(a, output);
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// for (size_t i = 0; i < n; i++)
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// a[i] = output[i];
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// }
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//
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// delete[] output, delete[] count;
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// }
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constexpr void radix_sort_256(int32_t a[], int n){
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int max = a[0];
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for (int i = 1; i < n; i++)
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if (a[i] > max)
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max = a[i];
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for (int pos = 1; max / pos > 0; pos *= 10)
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countsort(a, n, pos);
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}
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template<typename T>
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constexpr void radix_sort(const Array<T>& a) noexcept {
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radix_sort_256(a.data.get(), a.length);
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}
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// template<typename T>
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// constexpr Array<size_t> radix_sort_arg(const Array<T>& a) noexcept {
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// Array<T> indices = range(a.length);
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//
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// return indices;
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// }
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};
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