Knapsack.H File Reference

Classical knapsack problem variants (0/1, unbounded, bounded). More...

#include <algorithm>
#include <concepts>
#include <cstddef>
#include <limits>
#include <type_traits>
#include <utility>
#include <ah-errors.H>
#include <tpl_array.H>

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Classes
struct	Aleph::Knapsack_Item< W, V >
	An item for knapsack problems. More...
struct	Aleph::Knapsack_Result< V >
	Result of a knapsack computation. More...

Namespaces
namespace	Aleph
	Main namespace for Aleph-w library functions.
namespace	Aleph::knapsack_detail

Functions
template<std::integral W>
size_t	Aleph::knapsack_detail::to_size_checked (const W value, const char *fn_name, const char *field_name)
template<std::integral W, typename V >
Array< size_t >	Aleph::knapsack_detail::extract_weights_checked (const Array< Knapsack_Item< W, V > > &items, const char *fn_name)
template<typename V , std::integral W>
Knapsack_Result< V >	Aleph::knapsack_01 (const Array< Knapsack_Item< W, V > > &items, W capacity)
	0/1 Knapsack with item reconstruction.
template<typename V , std::integral W>
V	Aleph::knapsack_01_value (const Array< Knapsack_Item< W, V > > &items, W capacity)
	0/1 Knapsack — value only (space-optimized).
template<typename V , std::integral W>
Knapsack_Result< V >	Aleph::knapsack_unbounded (const Array< Knapsack_Item< W, V > > &items, W capacity)
	Unbounded Knapsack with reconstruction.
template<typename V , std::integral W>
Knapsack_Result< V >	Aleph::knapsack_bounded (const Array< Knapsack_Item< W, V > > &items, const Array< size_t > &counts, W capacity)
	Bounded Knapsack with reconstruction.

Detailed Description

Classical knapsack problem variants (0/1, unbounded, bounded).

Provides dynamic programming solutions for:

• 0/1 Knapsack: each item used at most once
• Unbounded Knapsack: unlimited copies of each item
• Bounded Knapsack: limited copies via binary decomposition

All functions support reconstruction of selected items.

Definition in file Knapsack.H.