/* -------------------------------------------------------------------------- *
 *                                   OpenMM                                   *
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 * This is part of the OpenMM molecular simulation toolkit originating from   *
 * Simbios, the NIH National Center for Physics-Based Simulation of           *
 * Biological Structures at Stanford, funded under the NIH Roadmap for        *
 * Medical Research, grant U54 GM072970. See https://simtk.org.               *
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 * Authors: Peter Eastman                                                     *
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/**
 * This tests the reference implementation of CMAPTorsionForce.
 */

#include "openmm/internal/AssertionUtilities.h"
#include "openmm/Context.h"
#include "ReferencePlatform.h"
#include "openmm/CMAPTorsionForce.h"
#include "openmm/PeriodicTorsionForce.h"
#include "openmm/System.h"
#include "openmm/VerletIntegrator.h"
#include "SimTKOpenMMRealType.h"
#include "sfmt/SFMT.h"
#include <iostream>
#include <vector>

using namespace OpenMM;
using namespace std;

ReferencePlatform platform;

const double TOL = 1e-5;

void testCMAPTorsions() {
    const int mapSize = 36;

    // Create two systems: one with a pair of periodic torsions, and one with a CMAP torsion
    // that approximates the same force.

    System system1;
    for (int i = 0; i < 5; i++)
        system1.addParticle(1.0);
    PeriodicTorsionForce* periodic = new PeriodicTorsionForce();
    periodic->addTorsion(0, 1, 2, 3, 2, M_PI/4, 1.5);
    periodic->addTorsion(1, 2, 3, 4, 3, M_PI/3, 2.0);
    system1.addForce(periodic);
    ASSERT(!periodic->usesPeriodicBoundaryConditions());
    ASSERT(!system1.usesPeriodicBoundaryConditions());
    System system2;
    for (int i = 0; i < 5; i++)
        system2.addParticle(1.0);
    CMAPTorsionForce* cmap = new CMAPTorsionForce();
    vector<double> mapEnergy(mapSize*mapSize);
    for (int i = 0; i < mapSize; i++) {
        double angle1 = i*2*M_PI/mapSize;
        double energy1 = 1.5*(1+cos(2*angle1-M_PI/4));
        for (int j = 0; j < mapSize; j++) {
            double angle2 = j*2*M_PI/mapSize;
            double energy2 = 2.0*(1+cos(3*angle2-M_PI/3));
            mapEnergy[i+j*mapSize] = energy1+energy2;
        }
    }
    cmap->addMap(mapSize, mapEnergy);
    cmap->addTorsion(0, 0, 1, 2, 3, 1, 2, 3, 4);
    system2.addForce(cmap);
    ASSERT(!cmap->usesPeriodicBoundaryConditions());
    ASSERT(!system2.usesPeriodicBoundaryConditions());

    // Set the atoms in various positions, and verify that both systems give equal forces and energy.

    OpenMM_SFMT::SFMT sfmt;
    init_gen_rand(0, sfmt);
    vector<Vec3> positions(5);
    VerletIntegrator integrator1(0.01);
    VerletIntegrator integrator2(0.01);
    Context c1(system1, integrator1, platform);
    Context c2(system2, integrator2, platform);
    for (int i = 0; i < 50; i++) {
        for (int j = 0; j < (int) positions.size(); j++)
            positions[j] = Vec3(5.0*genrand_real2(sfmt), 5.0*genrand_real2(sfmt), 5.0*genrand_real2(sfmt));
        c1.setPositions(positions);
        c2.setPositions(positions);
        State s1 = c1.getState(State::Forces | State::Energy);
        State s2 = c2.getState(State::Forces | State::Energy);
        for (int i = 0; i < system1.getNumParticles(); i++)
            ASSERT_EQUAL_VEC(s1.getForces()[i], s2.getForces()[i], 0.05);
        ASSERT_EQUAL_TOL(s1.getPotentialEnergy(), s2.getPotentialEnergy(), 1e-3);
    }
}

void testChangingParameters() {
    // Create a system with two maps and one torsion.

    const int mapSize = 8;
    System system;
    for (int i = 0; i < 5; i++)
        system.addParticle(1.0);
    CMAPTorsionForce* cmap = new CMAPTorsionForce();
    vector<double> mapEnergy1(mapSize*mapSize);
    vector<double> mapEnergy2(mapSize*mapSize);
    for (int i = 0; i < mapSize; i++) {
        double angle1 = i*2*M_PI/mapSize;
        double energy1 = cos(angle1);
        for (int j = 0; j < mapSize; j++) {
            double angle2 = j*2*M_PI/mapSize;
            double energy2 = 10*sin(angle2);
            mapEnergy1[i+j*mapSize] = energy1+energy2;
            mapEnergy2[i+j*mapSize] = energy1-energy2;
        }
    }
    cmap->addMap(mapSize, mapEnergy1);
    cmap->addMap(mapSize, mapEnergy2);
    cmap->addTorsion(0, 0, 1, 2, 3, 1, 2, 3, 4);
    system.addForce(cmap);

    // Set particle positions so angle1=0 and angle2=PI/4.

    vector<Vec3> positions(5);
    positions[0] = Vec3(0, 0, 1);
    positions[1] = Vec3(0, 0, 0);
    positions[2] = Vec3(1, 0, 0);
    positions[3] = Vec3(1, 0, 1);
    positions[4] = Vec3(0.5, -0.5, 1);
    VerletIntegrator integrator(0.01);
    Context context(system, integrator, platform);
    context.setPositions(positions);

    // Check that the energy is correct.

    double energy = context.getState(State::Energy).getPotentialEnergy();
    ASSERT_EQUAL_TOL(1+10*sin(M_PI/4), energy, 1e-5);

    // Modify the parameters.

    cmap->setTorsionParameters(0, 1, 0, 1, 2, 3, 1, 2, 3, 4);
    for (int i = 0; i < mapSize*mapSize; i++)
        mapEnergy2[i] *= 2.0;
    cmap->setMapParameters(1, mapSize, mapEnergy2);
    cmap->updateParametersInContext(context);

    // See if the results are correct.

    energy = context.getState(State::Energy).getPotentialEnergy();
    ASSERT_EQUAL_TOL(2-20*sin(M_PI/4), energy, 1e-5);
}

int main() {
    try {
        testCMAPTorsions();
        testChangingParameters();
    }
    catch(const exception& e) {
        cout << "exception: " << e.what() << endl;
        return 1;
    }
    cout << "Done" << endl;
    return 0;
}

