prac/heap.hpp

#ifndef __HEAP_HPP__
#define __HEAP_HPP__

#include "types.hpp"
#include "mpcio.hpp"
#include "coroutine.hpp"
#include "options.hpp"
#include "mpcops.hpp"

class MinHeap {
private:
    Duoram < RegAS > oram;
    size_t MAX_SIZE;
    size_t num_items;

    // Basic restore heap property at a secret shared index
    // Takes in as an input the XOR shares of the index at which
    // the heap property has to be restored
    // Returns the XOR shares of the index of the smaller child
    RegXS restore_heap_property(MPCIO &mpcio, MPCTIO tio, yield_t & yield, RegXS index);

    // Optimized restore heap property at a secret shared index
    // Takes in as an input the XOR shares of the index at which
    // the heap property has to be restored
    // Returns the XOR shares of the index of the smaller child and
    // comparison between the left and right child
    std::pair<RegXS, RegBS> restore_heap_property_optimized(MPCTIO tio, yield_t & yield, RegXS index, size_t layer, typename Duoram<RegAS>::template OblivIndex<RegXS,3> oidx);

    // Restore heap property at an index in clear
    // Takes in as an input the index (in clear) at which
    // the heap property has to be restored
    // Returns the XOR shares of the index of the smaller child and
    // comparison between the left and right child
    std::pair<RegXS, RegBS> restore_heap_property_at_explicit_index(MPCTIO tio, yield_t & yield,  size_t index);

public:
    MinHeap(int player_num, size_t size) : oram(player_num, size) {};

    // The extractmin protocol returns the minimum element (the root), removes it
    // and restores the heap property
    // and takes in a boolean parameter to decide if the basic or the optimized version needs to be run
    // return value is the share of the minimum value (the root)
    RegAS extract_min(MPCIO &mpcio, MPCTIO tio, yield_t & yield, int is_optimized);

    // Intializes the heap array with 0x7fffffffffffff
    void init(MPCTIO tio, yield_t & yield);

    // This function simply inits a heap with values 100,200,...,100*n
    // We use this function only to set up our heap
    // to do timing experiments on insert and extractmins
    void init(MPCTIO tio, yield_t & yield, size_t n);

    // The Basic Insert Protocol
    // Takes in the additive share of the value to be inserted
    // And adds the the value into the heap while keeping the heap property intact
    void insert(MPCTIO tio, yield_t & yield, RegAS val);

    // The Optimized Insert Protocol
    // Takes in the additive share of the value to be inserted
    // And adds the the value into the heap while keeping the heap property intact
    void insert_optimized(MPCTIO tio, yield_t & yield, RegAS val);

    // Note: This function is intended for testing purposes only.
    // The purpose of this function is to verify that the heap property is satisfied.
    void verify_heap_property(MPCTIO tio, yield_t & yield);


    // Prints the current heap
    void print_heap(MPCTIO tio, yield_t & yield);
};

void Heap(MPCIO &mpcio, const PRACOptions &opts, char **args);

#endif