forked from OctaForge/libostd
392 lines
11 KiB
C++
392 lines
11 KiB
C++
/* Algorithms for OctaSTD.
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*
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* This file is part of OctaSTD. See COPYING.md for futher information.
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*/
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#ifndef OCTA_ALGORITHM_H
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#define OCTA_ALGORITHM_H
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#include <math.h>
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#include "octa/functional.h"
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#include "octa/range.h"
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#include "octa/utility.h"
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#include "octa/initializer_list.h"
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namespace octa {
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template<typename T>
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using __OctaRangeSize = typename RangeTraits<T>::size_type;
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/* partitioning */
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template<typename R, typename U>
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R partition(R range, U pred) {
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R ret = range;
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for (; !range.empty(); range.pop_first()) {
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if (pred(range.first())) {
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swap(range.first(), ret.first());
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ret.pop_first();
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}
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}
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return ret;
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}
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template<typename R, typename P>
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bool is_partitioned(R range, P pred) {
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for (; !range.empty() && pred(range.first()); range.pop_first());
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for (; !range.empty(); range.pop_first())
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if (pred(range.first())) return false;
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return true;
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}
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/* insertion sort */
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template<typename R, typename C>
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void insertion_sort(R range, C compare) {
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__OctaRangeSize<R> rlen = range.length();
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for (__OctaRangeSize<R> i = 1; i < rlen; ++i) {
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__OctaRangeSize<R> j = i, v = range[i];
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while (j > 0 && !compare(range[j - 1], v)) {
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range[j] = range[j - 1];
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--j;
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}
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range[j] = v;
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}
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}
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template<typename R>
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void insertion_sort(R range) {
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insertion_sort(range, Less<typename RangeTraits<R>::value_type>());
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}
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/* sort (introsort) */
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template<typename T, typename U>
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struct __OctaUnaryCompare {
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const T &val;
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U comp;
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bool operator()(const T &v) const { return comp(v, val); }
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};
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template<typename R, typename C>
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void __octa_hs_sift_down(R range, __OctaRangeSize<R> s,
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__OctaRangeSize<R> e, C compare) {
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__OctaRangeSize<R> r = s;
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while ((r * 2 + 1) <= e) {
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__OctaRangeSize<R> ch = r * 2 + 1;
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__OctaRangeSize<R> sw = r;
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if (compare(range[sw], range[ch]))
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sw = ch;
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if (((ch + 1) <= e) && compare(range[sw], range[ch + 1]))
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sw = ch + 1;
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if (sw != r) {
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swap(range[r], range[sw]);
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r = sw;
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} else return;
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}
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}
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template<typename R, typename C>
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void __octa_heapsort(R range, C compare) {
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__OctaRangeSize<R> len = range.length();
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__OctaRangeSize<R> st = (len - 2) / 2;
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for (;;) {
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__octa_hs_sift_down(range, st, len - 1, compare);
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if (st-- == 0) break;
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}
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__OctaRangeSize<R> e = len - 1;
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while (e > 0) {
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swap(range[e], range[0]);
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--e;
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__octa_hs_sift_down(range, 0, e, compare);
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}
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}
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template<typename R, typename C>
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void __octa_introloop(R range, C compare, __OctaRangeSize<R> depth) {
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if (range.length() <= 10) {
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insertion_sort(range, compare);
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return;
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}
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if (depth == 0) {
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__octa_heapsort(range, compare);
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return;
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}
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typename RangeTraits<R>::reference p = range[range.length() / 2];
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swap(p, range.last());
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R r = partition(range, __OctaUnaryCompare<decltype(p), C>{ p, compare });
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R l = range.slice(0, range.length() - r.length());
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swap(r.first(), r.last());
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__octa_introloop(l, compare, depth - 1);
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__octa_introloop(r, compare, depth - 1);
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}
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template<typename R, typename C>
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void __octa_introsort(R range, C compare) {
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__octa_introloop(range, compare, __OctaRangeSize<R>(2
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* (log(range.length()) / log(2))));
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}
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template<typename R, typename C>
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void sort(R range, C compare) {
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__octa_introsort(range, compare);
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}
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template<typename R>
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void sort(R range) {
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sort(range, Less<typename RangeTraits<R>::value_type>());
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}
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/* min/max(_element) */
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template<typename T>
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inline const T &min(const T &a, const T &b) {
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return (a < b) ? a : b;
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}
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template<typename T, typename C>
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inline const T &min(const T &a, const T &b, C compare) {
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return compare(a, b) ? a : b;
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}
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template<typename T>
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inline const T &max(const T &a, const T &b) {
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return (a < b) ? b : a;
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}
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template<typename T, typename C>
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inline const T &max(const T &a, const T &b, C compare) {
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return compare(a, b) ? b : a;
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}
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template<typename R>
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inline R min_element(R range) {
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R r = range;
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for (; !range.empty(); range.pop_first())
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if (min(r.first(), range.first()) == range.first())
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r = range;
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return r;
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}
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template<typename R, typename C>
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inline R min_element(R range, C compare) {
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R r = range;
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for (; !range.empty(); range.pop_first())
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if (min(r.first(), range.first(), compare) == range.first())
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r = range;
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return r;
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}
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template<typename R>
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inline R max_element(R range) {
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R r = range;
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for (; !range.empty(); range.pop_first())
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if (max(r.first(), range.first()) == range.first())
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r = range;
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return r;
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}
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template<typename R, typename C>
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inline R max_element(R range, C compare) {
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R r = range;
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for (; !range.empty(); range.pop_first())
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if (max(r.first(), range.first(), compare) == range.first())
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r = range;
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return r;
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}
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template<typename T>
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inline T min(InitializerList<T> il) {
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return min_element(il.range()).first();
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}
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template<typename T, typename C>
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inline T min(InitializerList<T> il, C compare) {
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return min_element(il.range(), compare).first();
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}
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template<typename T>
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inline T max(InitializerList<T> il) {
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return max_element(il.range()).first();
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}
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template<typename T, typename C>
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inline T max(InitializerList<T> il, C compare) {
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return max_element(il.range(), compare).first();
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}
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/* clamp */
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template<typename T, typename U>
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inline T clamp(const T &v, const U &lo, const U &hi) {
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return max(T(lo), min(v, T(hi)));
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}
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template<typename T, typename U, typename C>
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inline T clamp(const T &v, const U &lo, const U &hi, C compare) {
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return max(T(lo), min(v, T(hi), compare), compare);
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}
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/* algos that don't change the range */
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template<typename R, typename F>
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F for_each(R range, F func) {
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for (; !range.empty(); range.pop_first())
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func(range.first());
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return move(func);
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}
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template<typename R, typename P>
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bool all_of(R range, P pred) {
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for (; !range.empty(); range.pop_first())
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if (!pred(range.first())) return false;
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return true;
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}
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template<typename R, typename P>
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bool any_of(R range, P pred) {
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for (; !range.empty(); range.pop_first())
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if (pred(range.first())) return true;
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return false;
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}
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template<typename R, typename P>
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bool none_of(R range, P pred) {
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for (; !range.empty(); range.pop_first())
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if (pred(range.first())) return false;
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return true;
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}
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template<typename R, typename T>
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R find(R range, const T &v) {
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for (; !range.empty(); range.pop_first())
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if (range.first() == v)
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break;
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return range;
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}
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template<typename R, typename P>
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R find_if(R range, P pred) {
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for (; !range.empty(); range.pop_first())
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if (pred(range.first()))
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break;
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return range;
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}
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template<typename R, typename P>
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R find_if_not(R range, P pred) {
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for (; !range.empty(); range.pop_first())
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if (!pred(range.first()))
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break;
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return range;
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}
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template<typename R, typename T>
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__OctaRangeSize<R> count(R range, const T &v) {
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__OctaRangeSize<R> ret = 0;
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for (; !range.empty(); range.pop_first())
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if (range.first() == v)
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++ret;
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return ret;
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}
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template<typename R, typename P>
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__OctaRangeSize<R> count_if(R range, P pred) {
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__OctaRangeSize<R> ret = 0;
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for (; !range.empty(); range.pop_first())
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if (pred(range.first()))
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++ret;
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return ret;
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}
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template<typename R, typename P>
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__OctaRangeSize<R> count_if_not(R range, P pred) {
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__OctaRangeSize<R> ret = 0;
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for (; !range.empty(); range.pop_first())
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if (!pred(range.first()))
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++ret;
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return ret;
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}
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template<typename R>
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bool equal(R range1, R range2) {
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for (; !range1.empty(); range1.pop_first()) {
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if (range2.empty() || (range1.first() != range2.first()))
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return false;
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range2.pop_first();
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}
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return range2.empty();
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}
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/* algos that modify ranges or work with output ranges */
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template<typename R1, typename R2>
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R2 copy(R1 irange, R2 orange) {
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for (; !irange.empty(); irange.pop_first())
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orange.put(irange.first());
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return orange;
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}
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template<typename R1, typename R2, typename P>
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R2 copy_if(R1 irange, R2 orange, P pred) {
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for (; !irange.empty(); irange.pop_first())
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if (pred(irange.first()))
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orange.put(irange.first());
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return orange;
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}
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template<typename R1, typename R2, typename P>
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R2 copy_if_not(R1 irange, R2 orange, P pred) {
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for (; !irange.empty(); irange.pop_first())
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if (!pred(irange.first()))
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orange.put(irange.first());
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return orange;
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}
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template<typename R1, typename R2>
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R2 move(R1 irange, R2 orange) {
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for (; !irange.empty(); irange.pop_first())
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orange.put(move(irange.first()));
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return orange;
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}
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template<typename R>
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void reverse(R range) {
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while (!range.empty()) {
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swap(range.first(), range.last());
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range.pop_first();
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range.pop_last();
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}
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}
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template<typename R1, typename R2>
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R2 reverse_copy(R1 irange, R2 orange) {
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for (; !irange.empty(); irange.pop_last())
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orange.put(irange.last());
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return orange;
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}
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template<typename R, typename T>
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void fill(R range, const T &v) {
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for (; !range.empty(); range.pop_first())
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range.first() = v;
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}
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template<typename R, typename F>
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void generate(R range, F gen) {
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for (; !range.empty(); range.pop_first())
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range.first() = gen();
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}
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template<typename R1, typename R2>
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R2 swap_ranges(R1 range1, R2 range2) {
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for (; !range1.empty(); range1.pop_first()) {
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swap(range1.first(), range2.first());
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range2.pop_first();
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}
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return range2;
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}
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template<typename R, typename T>
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void iota(R range, T value) {
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for (; !range.empty(); range.pop_first())
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range.first() = value++;
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}
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}
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#endif |