monero/tests/unit_tests/ringct.cpp

// Copyright (c) 2014-2017, The Monero Project
// 
// All rights reserved.
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// permitted provided that the following conditions are met:
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//    conditions and the following disclaimer.
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// Parts of this file are originally copyright (c) 2012-2013 The Cryptonote developers

#include "gtest/gtest.h"

#include <cstdint>
#include <algorithm>
#include <sstream>

#include "ringct/rctTypes.h"
#include "ringct/rctSigs.h"
#include "ringct/rctOps.h"

using namespace std;
using namespace crypto;
using namespace rct;

TEST(ringct, Borromean)
{
    int j = 0;

        //Tests for Borromean signatures
        //#boro true one, false one, C != sum Ci, and one out of the range..
        int N = 64;
        key64 xv;
        key64 P1v;
        key64 P2v;
        bits indi;

        for (j = 0 ; j < N ; j++) {
            indi[j] = (int)randXmrAmount(2);

            xv[j] = skGen();
            if ( (int)indi[j] == 0 ) {
                scalarmultBase(P1v[j], xv[j]);
            } else {
                addKeys1(P1v[j], xv[j], H2[j]);
            }
            subKeys(P2v[j], P1v[j], H2[j]);
        }

        //#true one
        boroSig bb = genBorromean(xv, P1v, P2v, indi);
        ASSERT_TRUE(verifyBorromean(bb, P1v, P2v));

        //#false one
        indi[3] = (indi[3] + 1) % 2;
        bb = genBorromean(xv, P1v, P2v, indi);
        ASSERT_FALSE(verifyBorromean(bb, P1v, P2v));

        //#true one again
        indi[3] = (indi[3] + 1) % 2;
        bb = genBorromean(xv, P1v, P2v, indi);
        ASSERT_TRUE(verifyBorromean(bb, P1v, P2v));

        //#false one
        bb = genBorromean(xv, P2v, P1v, indi);
        ASSERT_FALSE(verifyBorromean(bb, P1v, P2v));
}

TEST(ringct, MG_sigs)
{
    int j = 0;
    int N = 0;

        //Tests for MG Sigs
        //#MG sig: true one
        N = 3;// #cols
        int   R = 3;// #rows
        keyV xtmp = skvGen(R);
        keyM xm = keyMInit(R, N);// = [[None]*N] #just used to generate test public keys
        keyV sk = skvGen(R);
        keyM P  = keyMInit(R, N);// = keyM[[None]*N] #stores the public keys;
        int ind = 2;
        int i = 0;
        for (j = 0 ; j < R ; j++) {
            for (i = 0 ; i < N ; i++)
            {
                xm[i][j] = skGen();
                P[i][j] = scalarmultBase(xm[i][j]);
            }
        }
        for (j = 0 ; j < R ; j++) {
            sk[j] = xm[ind][j];
        }
        key message = identity();
        mgSig IIccss = MLSAG_Gen(message, P, sk, NULL, NULL, ind, R);
        ASSERT_TRUE(MLSAG_Ver(message, P, IIccss, R));

        //#MG sig: false one
        N = 3;// #cols
        R = 3;// #rows
        xtmp = skvGen(R);
        keyM xx(N, xtmp);// = [[None]*N] #just used to generate test public keys
        sk = skvGen(R);
        //P (N, xtmp);// = keyM[[None]*N] #stores the public keys;

        ind = 2;
        for (j = 0 ; j < R ; j++) {
            for (i = 0 ; i < N ; i++)
            {
                xx[i][j] = skGen();
                P[i][j] = scalarmultBase(xx[i][j]);
            }
            sk[j] = xx[ind][j];
        }
        sk[2] = skGen();//asume we don't know one of the private keys..
        IIccss = MLSAG_Gen(message, P, sk, NULL, NULL, ind, R);
        ASSERT_FALSE(MLSAG_Ver(message, P, IIccss, R));
}

TEST(ringct, range_proofs)
{
        //Ring CT Stuff
        //ct range proofs
        ctkeyV sc, pc;
        ctkey sctmp, pctmp;
        //add fake input 5000
        tie(sctmp, pctmp) = ctskpkGen(6000);
        sc.push_back(sctmp);
        pc.push_back(pctmp);


        tie(sctmp, pctmp) = ctskpkGen(7000);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
        vector<xmr_amount >amounts;
        rct::keyV amount_keys;
        key mask;

        //add output 500
        amounts.push_back(500);
        amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        keyV destinations;
        key Sk, Pk;
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);


        //add output for 12500
        amounts.push_back(12500);
        amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);

        //compute rct data with mixin 500
        rctSig s = genRct(rct::zero(), sc, pc, destinations, amounts, amount_keys, NULL, NULL, 3);

        //verify rct data
        ASSERT_TRUE(verRct(s));

        //decode received amount
        decodeRct(s, amount_keys[1], 1, mask);

        // Ring CT with failing MG sig part should not verify!
        // Since sum of inputs != outputs

        amounts[1] = 12501;
        skpkGen(Sk, Pk);
        destinations[1] = Pk;


        //compute rct data with mixin 500
        s = genRct(rct::zero(), sc, pc, destinations, amounts, amount_keys, NULL, NULL, 3);

        //verify rct data
        ASSERT_FALSE(verRct(s));

        //decode received amount
        decodeRct(s, amount_keys[1], 1, mask);
}

TEST(ringct, range_proofs_with_fee)
{
        //Ring CT Stuff
        //ct range proofs
        ctkeyV sc, pc;
        ctkey sctmp, pctmp;
        //add fake input 5000
        tie(sctmp, pctmp) = ctskpkGen(6001);
        sc.push_back(sctmp);
        pc.push_back(pctmp);


        tie(sctmp, pctmp) = ctskpkGen(7000);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
        vector<xmr_amount >amounts;
        keyV amount_keys;
        key mask;

        //add output 500
        amounts.push_back(500);
        amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        keyV destinations;
        key Sk, Pk;
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);

        //add txn fee for 1
        //has no corresponding destination..
        amounts.push_back(1);

        //add output for 12500
        amounts.push_back(12500);
        amount_keys.push_back(hash_to_scalar(zero()));
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);

        //compute rct data with mixin 500
        rctSig s = genRct(rct::zero(), sc, pc, destinations, amounts, amount_keys, NULL, NULL, 3);

        //verify rct data
        ASSERT_TRUE(verRct(s));

        //decode received amount
        decodeRct(s, amount_keys[1], 1, mask);

        // Ring CT with failing MG sig part should not verify!
        // Since sum of inputs != outputs

        amounts[1] = 12501;
        skpkGen(Sk, Pk);
        destinations[1] = Pk;


        //compute rct data with mixin 500
        s = genRct(rct::zero(), sc, pc, destinations, amounts, amount_keys, NULL, NULL, 3);

        //verify rct data
        ASSERT_FALSE(verRct(s));

        //decode received amount
        decodeRct(s, amount_keys[1], 1, mask);
}

TEST(ringct, simple)
{
        ctkeyV sc, pc;
        ctkey sctmp, pctmp;
        //this vector corresponds to output amounts
        vector<xmr_amount>outamounts;
       //this vector corresponds to input amounts
        vector<xmr_amount>inamounts;
        //this keyV corresponds to destination pubkeys
        keyV destinations;
        keyV amount_keys;
        key mask;

        //add fake input 3000
        //the sc is secret data
        //pc is public data
        tie(sctmp, pctmp) = ctskpkGen(3000);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
        inamounts.push_back(3000);

        //add fake input 3000
        //the sc is secret data
        //pc is public data
        tie(sctmp, pctmp) = ctskpkGen(3000);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
        inamounts.push_back(3000);

        //add output 5000
        outamounts.push_back(5000);
        amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        //add the corresponding destination pubkey
        key Sk, Pk;
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);

        //add output 999
        outamounts.push_back(999);
        amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        //add the corresponding destination pubkey
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);

        key message = skGen(); //real message later (hash of txn..)

        //compute sig with mixin 2
        xmr_amount txnfee = 1;

        rctSig s = genRctSimple(message, sc, pc, destinations,inamounts, outamounts, amount_keys, NULL, NULL, txnfee, 2);

        //verify ring ct signature
        ASSERT_TRUE(verRctSimple(s));

        //decode received amount corresponding to output pubkey index 1
        decodeRctSimple(s, amount_keys[1], 1, mask);
}

static rct::rctSig make_sample_rct_sig(int n_inputs, const uint64_t input_amounts[], int n_outputs, const uint64_t output_amounts[], bool last_is_fee)
{
    ctkeyV sc, pc;
    ctkey sctmp, pctmp;
    vector<xmr_amount >amounts;
    keyV destinations;
    keyV amount_keys;
    key Sk, Pk;

    for (int n = 0; n < n_inputs; ++n) {
        tie(sctmp, pctmp) = ctskpkGen(input_amounts[n]);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
    }

    for (int n = 0; n < n_outputs; ++n) {
        amounts.push_back(output_amounts[n]);
        skpkGen(Sk, Pk);
        if (n < n_outputs - 1 || !last_is_fee)
        {
          destinations.push_back(Pk);
          amount_keys.push_back(rct::hash_to_scalar(rct::zero()));
        }
    }

    return genRct(rct::zero(), sc, pc, destinations, amounts, amount_keys, NULL, NULL, 3);;
}

static rct::rctSig make_sample_simple_rct_sig(int n_inputs, const uint64_t input_amounts[], int n_outputs, const uint64_t output_amounts[], uint64_t fee)
{
    ctkeyV sc, pc;
    ctkey sctmp, pctmp;
    vector<xmr_amount> inamounts, outamounts;
    keyV destinations;
    keyV amount_keys;
    key Sk, Pk;

    for (int n = 0; n < n_inputs; ++n) {
        inamounts.push_back(input_amounts[n]);
        tie(sctmp, pctmp) = ctskpkGen(input_amounts[n]);
        sc.push_back(sctmp);
        pc.push_back(pctmp);
    }

    for (int n = 0; n < n_outputs; ++n) {
        outamounts.push_back(output_amounts[n]);
        amount_keys.push_back(hash_to_scalar(zero()));
        skpkGen(Sk, Pk);
        destinations.push_back(Pk);
    }

    return genRctSimple(rct::zero(), sc, pc, destinations, inamounts, outamounts, amount_keys, NULL, NULL, fee, 3);;
}

static bool range_proof_test(bool expected_valid,
    int n_inputs, const uint64_t input_amounts[], int n_outputs, const uint64_t output_amounts[], bool last_is_fee, bool simple)
{
    //compute rct data
    bool valid;
    try {
        rctSig s;
        // simple takes fee as a parameter, non-simple takes it as an extra element to output amounts
        if (simple) {
          s = make_sample_simple_rct_sig(n_inputs, input_amounts, last_is_fee ? n_outputs - 1 : n_outputs, output_amounts, last_is_fee ? output_amounts[n_outputs - 1] : 0);
          valid = verRctSimple(s);
        }
        else {
          s = make_sample_rct_sig(n_inputs, input_amounts, n_outputs, output_amounts, last_is_fee);
          valid = verRct(s);
        }
    }
    catch (const std::exception &e) {
        valid = false;
    }

    if (valid == expected_valid) {
        return testing::AssertionSuccess();
    }
    else {
        return testing::AssertionFailure();
    }
}

#define NELTS(array) (sizeof(array)/sizeof(array[0]))

TEST(ringct, range_proofs_reject_empty_outs)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_empty_outs_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_empty_ins)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_empty_ins_simple)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_all_empty)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_all_empty_simple)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_empty)
{
  const uint64_t inputs[] = {0};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_empty_simple)
{
  const uint64_t inputs[] = {0};
  const uint64_t outputs[] = {};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_empty_zero)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {0};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_empty_zero_simple)
{
  const uint64_t inputs[] = {};
  const uint64_t outputs[] = {0};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_zero)
{
  const uint64_t inputs[] = {0};
  const uint64_t outputs[] = {0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_zero_simple)
{
  const uint64_t inputs[] = {0};
  const uint64_t outputs[] = {0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_out_first)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {0, 5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_out_first_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {0, 5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_out_last)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5000, 0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_out_last_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5000, 0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_out_middle)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {2500, 0, 2500};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_out_middle_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {2500, 0, 2500};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_in_first)
{
  const uint64_t inputs[] = {0, 5000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_in_first_simple)
{
  const uint64_t inputs[] = {0, 5000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_in_last)
{
  const uint64_t inputs[] = {5000, 0};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_in_last_simple)
{
  const uint64_t inputs[] = {5000, 0};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_zero_in_middle)
{
  const uint64_t inputs[] = {2500, 0, 2500};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_zero_in_middle_simple)
{
  const uint64_t inputs[] = {2500, 0, 2500};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_single_lower)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_single_lower_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_single_higher)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5001};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_single_higher_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5001};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_single_out_negative)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {(uint64_t)-1000ll};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_single_out_negative_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {(uint64_t)-1000ll};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_out_negative_first)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {(uint64_t)-1000ll, 6000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_out_negative_first_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {(uint64_t)-1000ll, 6000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_out_negative_last)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {6000, (uint64_t)-1000ll};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_out_negative_last_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {6000, (uint64_t)-1000ll};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_out_negative_middle)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {3000, (uint64_t)-1000ll, 3000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_out_negative_middle_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {3000, (uint64_t)-1000ll, 3000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_single_in_negative)
{
  const uint64_t inputs[] = {(uint64_t)-1000ll};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_single_in_negative_simple)
{
  const uint64_t inputs[] = {(uint64_t)-1000ll};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_in_negative_first)
{
  const uint64_t inputs[] = {(uint64_t)-1000ll, 6000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_in_negative_first_simple)
{
  const uint64_t inputs[] = {(uint64_t)-1000ll, 6000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_in_negative_last)
{
  const uint64_t inputs[] = {6000, (uint64_t)-1000ll};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_in_negative_last_simple)
{
  const uint64_t inputs[] = {6000, (uint64_t)-1000ll};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_in_negative_middle)
{
  const uint64_t inputs[] = {3000, (uint64_t)-1000ll, 3000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_in_negative_middle_simple)
{
  const uint64_t inputs[] = {3000, (uint64_t)-1000ll, 3000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_reject_higher_list)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_reject_higher_list_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_1_to_1)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_1_to_1_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_1_to_N)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_1_to_N_simple)
{
  const uint64_t inputs[] = {5000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false,true));
}

TEST(ringct, range_proofs_accept_N_to_1)
{
  const uint64_t inputs[] = {1000, 1000, 1000, 1000, 1000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_N_to_1_simple)
{
  const uint64_t inputs[] = {1000, 1000, 1000, 1000, 1000};
  const uint64_t outputs[] = {5000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_N_to_N)
{
  const uint64_t inputs[] = {1000, 1000, 1000, 1000, 1000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_N_to_N_simple)
{
  const uint64_t inputs[] = {1000, 1000, 1000, 1000, 1000};
  const uint64_t outputs[] = {1000, 1000, 1000, 1000, 1000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, range_proofs_accept_very_long)
{
  const size_t N=12;
  uint64_t inputs[N];
  uint64_t outputs[N];
  for (size_t n = 0; n < N; ++n) {
    inputs[n] = n;
    outputs[n] = n;
  }
  std::random_shuffle(inputs, inputs + N);
  std::random_shuffle(outputs, outputs + N);
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, false));
}

TEST(ringct, range_proofs_accept_very_long_simple)
{
  const size_t N=12;
  uint64_t inputs[N];
  uint64_t outputs[N];
  for (size_t n = 0; n < N; ++n) {
    inputs[n] = n;
    outputs[n] = n;
  }
  std::random_shuffle(inputs, inputs + N);
  std::random_shuffle(outputs, outputs + N);
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, false, true));
}

TEST(ringct, HPow2)
{
  key G = scalarmultBase(d2h(1));

  key H = hashToPointSimple(G);
  for (int j = 0 ; j < ATOMS ; j++) {
    ASSERT_TRUE(equalKeys(H, H2[j]));
    addKeys(H, H, H);
  }
}

static const xmr_amount test_amounts[]={0, 1, 2, 3, 4, 5, 10000, 10000000000000000000ull, 10203040506070809000ull, 123456789123456789};

TEST(ringct, ecdh_roundtrip)
{
  key k;
  ecdhTuple t0, t1;

  for (auto amount: test_amounts) {
    skGen(k);

    t0.mask = skGen();
    t0.amount = d2h(amount);

    t1 = t0;
    ecdhEncode(t1, k);
    ecdhDecode(t1, k);
    ASSERT_TRUE(t0.mask == t1.mask);
    ASSERT_TRUE(equalKeys(t0.mask, t1.mask));
    ASSERT_TRUE(t0.amount == t1.amount);
    ASSERT_TRUE(equalKeys(t0.amount, t1.amount));
  }
}

TEST(ringct, d2h)
{
  key k, P1;
  skpkGen(k, P1);
  for (auto amount: test_amounts) {
    d2h(k, amount);
    ASSERT_TRUE(amount == h2d(k));
  }
}

TEST(ringct, d2b)
{
  for (auto amount: test_amounts) {
    bits b;
    d2b(b, amount);
    ASSERT_TRUE(amount == b2d(b));
  }
}

TEST(ringct, prooveRange_is_non_deterministic)
{
  key C[2], mask[2];
  for (int n = 0; n < 2; ++n)
    proveRange(C[n], mask[n], 80);
  ASSERT_TRUE(memcmp(C[0].bytes, C[1].bytes, sizeof(C[0].bytes)));
  ASSERT_TRUE(memcmp(mask[0].bytes, mask[1].bytes, sizeof(mask[0].bytes)));
}

TEST(ringct, fee_0_valid)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {2000, 0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_0_valid_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {2000, 0};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

TEST(ringct, fee_non_0_valid)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1900, 100};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_non_0_valid_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1900, 100};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

TEST(ringct, fee_non_0_invalid_higher)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1990, 100};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_non_0_invalid_higher_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1990, 100};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

TEST(ringct, fee_non_0_invalid_lower)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1000, 100};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_non_0_invalid_lower_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1000, 100};
  EXPECT_TRUE(range_proof_test(false, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

TEST(ringct, fee_burn_valid_one_out)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {0, 2000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_burn_valid_one_out_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {0, 2000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

TEST(ringct, fee_burn_valid_zero_out)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {2000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, false));
}

TEST(ringct, fee_burn_valid_zero_out_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {2000};
  EXPECT_TRUE(range_proof_test(true, NELTS(inputs), inputs, NELTS(outputs), outputs, true, true));
}

#define TEST_rctSig_elements(name, op) \
TEST(ringct, rctSig_##name) \
{ \
  const uint64_t inputs[] = {1000, 1000}; \
  const uint64_t outputs[] = {1000, 1000}; \
  rct::rctSig sig = make_sample_rct_sig(NELTS(inputs), inputs, NELTS(outputs), outputs, true); \
  ASSERT_TRUE(rct::verRct(sig)); \
  op; \
  ASSERT_FALSE(rct::verRct(sig)); \
}

TEST_rctSig_elements(rangeSigs_empty, sig.p.rangeSigs.resize(0));
TEST_rctSig_elements(rangeSigs_too_many, sig.p.rangeSigs.push_back(sig.p.rangeSigs.back()));
TEST_rctSig_elements(rangeSigs_too_few, sig.p.rangeSigs.pop_back());
TEST_rctSig_elements(mgSig_MG_empty, sig.p.MGs.resize(0));
TEST_rctSig_elements(mgSig_ss_empty, sig.p.MGs[0].ss.resize(0));
TEST_rctSig_elements(mgSig_ss_too_many, sig.p.MGs[0].ss.push_back(sig.p.MGs[0].ss.back()));
TEST_rctSig_elements(mgSig_ss_too_few, sig.p.MGs[0].ss.pop_back());
TEST_rctSig_elements(mgSig_ss0_empty, sig.p.MGs[0].ss[0].resize(0));
TEST_rctSig_elements(mgSig_ss0_too_many, sig.p.MGs[0].ss[0].push_back(sig.p.MGs[0].ss[0].back()));
TEST_rctSig_elements(mgSig_ss0_too_few, sig.p.MGs[0].ss[0].pop_back());
TEST_rctSig_elements(mgSig_II_empty, sig.p.MGs[0].II.resize(0));
TEST_rctSig_elements(mgSig_II_too_many, sig.p.MGs[0].II.push_back(sig.p.MGs[0].II.back()));
TEST_rctSig_elements(mgSig_II_too_few, sig.p.MGs[0].II.pop_back());
TEST_rctSig_elements(mixRing_empty, sig.mixRing.resize(0));
TEST_rctSig_elements(mixRing_too_many, sig.mixRing.push_back(sig.mixRing.back()));
TEST_rctSig_elements(mixRing_too_few, sig.mixRing.pop_back());
TEST_rctSig_elements(mixRing0_empty, sig.mixRing[0].resize(0));
TEST_rctSig_elements(mixRing0_too_many, sig.mixRing[0].push_back(sig.mixRing[0].back()));
TEST_rctSig_elements(mixRing0_too_few, sig.mixRing[0].pop_back());
TEST_rctSig_elements(ecdhInfo_empty, sig.ecdhInfo.resize(0));
TEST_rctSig_elements(ecdhInfo_too_many, sig.ecdhInfo.push_back(sig.ecdhInfo.back()));
TEST_rctSig_elements(ecdhInfo_too_few, sig.ecdhInfo.pop_back());
TEST_rctSig_elements(outPk_empty, sig.outPk.resize(0));
TEST_rctSig_elements(outPk_too_many, sig.outPk.push_back(sig.outPk.back()));
TEST_rctSig_elements(outPk_too_few, sig.outPk.pop_back());

#define TEST_rctSig_elements_simple(name, op) \
TEST(ringct, rctSig_##name##_simple) \
{ \
  const uint64_t inputs[] = {1000, 1000}; \
  const uint64_t outputs[] = {1000}; \
  rct::rctSig sig = make_sample_simple_rct_sig(NELTS(inputs), inputs, NELTS(outputs), outputs, 1000); \
  ASSERT_TRUE(rct::verRctSimple(sig)); \
  op; \
  ASSERT_FALSE(rct::verRctSimple(sig)); \
}

TEST_rctSig_elements_simple(rangeSigs_empty, sig.p.rangeSigs.resize(0));
TEST_rctSig_elements_simple(rangeSigs_too_many, sig.p.rangeSigs.push_back(sig.p.rangeSigs.back()));
TEST_rctSig_elements_simple(rangeSigs_too_few, sig.p.rangeSigs.pop_back());
TEST_rctSig_elements_simple(mgSig_empty, sig.p.MGs.resize(0));
TEST_rctSig_elements_simple(mgSig_too_many, sig.p.MGs.push_back(sig.p.MGs.back()));
TEST_rctSig_elements_simple(mgSig_too_few, sig.p.MGs.pop_back());
TEST_rctSig_elements_simple(mgSig0_ss_empty, sig.p.MGs[0].ss.resize(0));
TEST_rctSig_elements_simple(mgSig0_ss_too_many, sig.p.MGs[0].ss.push_back(sig.p.MGs[0].ss.back()));
TEST_rctSig_elements_simple(mgSig0_ss_too_few, sig.p.MGs[0].ss.pop_back());
TEST_rctSig_elements_simple(mgSig_ss0_empty, sig.p.MGs[0].ss[0].resize(0));
TEST_rctSig_elements_simple(mgSig_ss0_too_many, sig.p.MGs[0].ss[0].push_back(sig.p.MGs[0].ss[0].back()));
TEST_rctSig_elements_simple(mgSig_ss0_too_few, sig.p.MGs[0].ss[0].pop_back());
TEST_rctSig_elements_simple(mgSig0_II_empty, sig.p.MGs[0].II.resize(0));
TEST_rctSig_elements_simple(mgSig0_II_too_many, sig.p.MGs[0].II.push_back(sig.p.MGs[0].II.back()));
TEST_rctSig_elements_simple(mgSig0_II_too_few, sig.p.MGs[0].II.pop_back());
TEST_rctSig_elements_simple(mixRing_empty, sig.mixRing.resize(0));
TEST_rctSig_elements_simple(mixRing_too_many, sig.mixRing.push_back(sig.mixRing.back()));
TEST_rctSig_elements_simple(mixRing_too_few, sig.mixRing.pop_back());
TEST_rctSig_elements_simple(mixRing0_empty, sig.mixRing[0].resize(0));
TEST_rctSig_elements_simple(mixRing0_too_many, sig.mixRing[0].push_back(sig.mixRing[0].back()));
TEST_rctSig_elements_simple(mixRing0_too_few, sig.mixRing[0].pop_back());
TEST_rctSig_elements_simple(pseudoOuts_empty, sig.pseudoOuts.resize(0));
TEST_rctSig_elements_simple(pseudoOuts_too_many, sig.pseudoOuts.push_back(sig.pseudoOuts.back()));
TEST_rctSig_elements_simple(pseudoOuts_too_few, sig.pseudoOuts.pop_back());
TEST_rctSig_elements_simple(ecdhInfo_empty, sig.ecdhInfo.resize(0));
TEST_rctSig_elements_simple(ecdhInfo_too_many, sig.ecdhInfo.push_back(sig.ecdhInfo.back()));
TEST_rctSig_elements_simple(ecdhInfo_too_few, sig.ecdhInfo.pop_back());
TEST_rctSig_elements_simple(outPk_empty, sig.outPk.resize(0));
TEST_rctSig_elements_simple(outPk_too_many, sig.outPk.push_back(sig.outPk.back()));
TEST_rctSig_elements_simple(outPk_too_few, sig.outPk.pop_back());

TEST(ringct, reject_gen_simple_ver_non_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1000};
  rct::rctSig sig = make_sample_simple_rct_sig(NELTS(inputs), inputs, NELTS(outputs), outputs, 1000);
  ASSERT_FALSE(rct::verRct(sig));
}

TEST(ringct, reject_gen_non_simple_ver_simple)
{
  const uint64_t inputs[] = {1000, 1000};
  const uint64_t outputs[] = {1000, 1000};
  rct::rctSig sig = make_sample_rct_sig(NELTS(inputs), inputs, NELTS(outputs), outputs, true);
  ASSERT_FALSE(rct::verRctSimple(sig));
}

TEST(ringct, key_ostream)
{
  std::stringstream out;
  out << "BEGIN" << rct::H << "END";
  EXPECT_EQ(
    std::string{"BEGIN<8b655970153799af2aeadc9ff1add0ea6c7251d54154cfa92c173a0dd39c1f94>END"},
    out.str()
  );
}