File: ConcretePM.cpp

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// 2007,2008 © Václav Šmilauer <eudoxos@arcig.cz>
#include "ConcretePM.hpp"
#include <lib/high-precision/Constants.hpp>
#include <core/InteractionLoop.hpp>
#include <core/Scene.hpp>
#include <pkg/common/Box.hpp>
#include <pkg/common/Facet.hpp>
#include <pkg/common/Wall.hpp>
#include <pkg/dem/DemXDofGeom.hpp>
#include <preprocessing/dem/Shop.hpp>

#ifdef YADE_OPENGL
#include <lib/opengl/GLUtils.hpp>
#include <lib/opengl/OpenGLWrapper.hpp>
#endif

namespace yade { // Cannot have #include directive inside.

YADE_PLUGIN((CpmState)(CpmMat)(Ip2_CpmMat_CpmMat_CpmPhys)(Ip2_FrictMat_CpmMat_FrictPhys)(CpmPhys)(Law2_ScGeom_CpmPhys_Cpm)
#ifdef YADE_OPENGL
                    (Gl1_CpmPhys)
#endif
                            (CpmStateUpdater));


/********************** Ip2_CpmMat_CpmMat_CpmPhys ****************************/


CREATE_LOGGER(Ip2_FrictMat_CpmMat_FrictPhys);
void Ip2_FrictMat_CpmMat_FrictPhys::go(const shared_ptr<Material>& pp1, const shared_ptr<Material>& pp2, const shared_ptr<Interaction>& interaction)
{
	TIMING_DELTAS_START();
	const shared_ptr<FrictMat>&     mat1         = YADE_PTR_CAST<FrictMat>(pp1);
	const shared_ptr<CpmMat>&       mat2         = YADE_PTR_CAST<CpmMat>(pp2);
	Ip2_FrictMat_FrictMat_FrictPhys iPhysFunctor = Ip2_FrictMat_FrictMat_FrictPhys();
	iPhysFunctor.frictAngle                      = frictAngle;
	iPhysFunctor.go(mat1, mat2, interaction);
	TIMING_DELTAS_CHECKPOINT("end of Ip2_FritPhys");
}


CREATE_LOGGER(Ip2_CpmMat_CpmMat_CpmPhys);
void Ip2_CpmMat_CpmMat_CpmPhys::go(const shared_ptr<Material>& pp1, const shared_ptr<Material>& pp2, const shared_ptr<Interaction>& interaction)
{
	// no updates of an already existing contact necessary
	if (interaction->phys) return;
	TIMING_DELTAS_START();
	shared_ptr<CpmPhys> cpmPhys(new CpmPhys());
	interaction->phys = cpmPhys;
	CpmMat* mat1      = YADE_CAST<CpmMat*>(pp1.get());
	CpmMat* mat2      = YADE_CAST<CpmMat*>(pp2.get());

	// check unassigned values
	if (!mat1->neverDamage) {
		assert(!math::isnan(mat1->sigmaT));
		assert(!math::isnan(mat1->epsCrackOnset));
		assert(!math::isnan(mat1->relDuctility));
	}
	if (!mat2->neverDamage) {
		assert(!math::isnan(mat2->sigmaT));
		assert(!math::isnan(mat2->epsCrackOnset));
		assert(!math::isnan(mat2->relDuctility));
	}

	cpmPhys->damLaw = mat1->damLaw;
	// bodies sharing the same material; no averages necessary
	if (mat1->id >= 0 && mat1->id == mat2->id) {
		cpmPhys->E                 = mat1->young;
		cpmPhys->G                 = mat1->young * mat1->poisson;
		cpmPhys->tanFrictionAngle  = tan(mat1->frictionAngle);
		cpmPhys->undamagedCohesion = mat1->sigmaT;
		cpmPhys->isCohesive        = (cohesiveThresholdIter < 0 || scene->iter < cohesiveThresholdIter);
#define _CPATTR(a) cpmPhys->a = mat1->a
		_CPATTR(epsCrackOnset);
		_CPATTR(relDuctility);
		_CPATTR(equivStrainShearContrib);
		_CPATTR(neverDamage);
		_CPATTR(dmgTau);
		_CPATTR(dmgRateExp);
		_CPATTR(plTau);
		_CPATTR(plRateExp);
		_CPATTR(isoPrestress);
#undef _CPATTR
	} else {
// averaging over both materials
#define _AVGATTR(a) cpmPhys->a = .5 * (mat1->a + mat2->a)
		Real e                     = (!E) ? .5 * (mat1->young + mat2->young) : (*E)(mat1->id, mat2->id, mat1->young, mat2->young);
		cpmPhys->E                 = e;
		cpmPhys->G                 = .5 * (mat1->poisson + mat2->poisson) * cpmPhys->E;
		cpmPhys->tanFrictionAngle  = tan(.5 * (mat1->frictionAngle + mat2->frictionAngle));
		cpmPhys->undamagedCohesion = .5 * (mat1->sigmaT + mat2->sigmaT);
		cpmPhys->isCohesive        = (cohesiveThresholdIter < 0 || scene->iter < cohesiveThresholdIter);
		_AVGATTR(epsCrackOnset);
		_AVGATTR(relDuctility);
		_AVGATTR(equivStrainShearContrib);
		cpmPhys->neverDamage = (mat1->neverDamage || mat2->neverDamage);
		_AVGATTR(dmgTau);
		_AVGATTR(dmgRateExp);
		_AVGATTR(plTau);
		_AVGATTR(plRateExp);
		_AVGATTR(isoPrestress);
#undef _AVGATTR
	}

	// NOTE: some params are not assigned until in Law2_ScGeom_CpmPhys_Cpm, since they need geometry as well; those are:
	// 	crossSection, kn, ks, refLength
	TIMING_DELTAS_CHECKPOINT("end of Ip2_CpmPhys");
}


/********************** CpmPhys ****************************/
CREATE_LOGGER(CpmPhys);

// !! at least one virtual function in the .cpp file
CpmPhys::~CpmPhys() {};

long CpmPhys::cummBetaIter = 0, CpmPhys::cummBetaCount = 0;

Real CpmPhys::solveBeta(const Real c, const Real N)
{
#ifdef YADE_DEBUG
	cummBetaCount++;
#endif
	const int  maxIter  = 20;
	const Real maxError = 1e-12;
	Real       f, ret = 0.;
	for (int i = 0; i < maxIter; i++) {
#ifdef YADE_DEBUG
		cummBetaIter++;
#endif
		const auto aux = c * exp(N * ret) + exp(ret);
		f              = log(aux);
		if (math::abs(f) < maxError) return Real(ret);
		const auto df = (c * N * exp(N * ret) + exp(ret)) / aux;
		ret -= f / df;
	}
	LOG_FATAL("No convergence after " << maxIter << " iters; c=" << c << ", N=" << N << ", ret=" << ret << ", f=" << f);
	throw runtime_error("CpmPhys::solveBeta failed to converge.");
}

Real CpmPhys::computeDmgOverstress(Real dt)
{
	if (dmgStrain >= epsN * omega) { // unloading, no viscous stress
		dmgStrain = epsN * omega;
		LOG_TRACE("Elastic/unloading, no viscous overstress");
		return 0.;
	}
	Real c              = epsCrackOnset * (1 - omega) * pow(dmgTau / dt, dmgRateExp) * pow(epsN * omega - dmgStrain, dmgRateExp - 1.);
	Real beta           = solveBeta(c, dmgRateExp);
	Real deltaDmgStrain = (epsN * omega - dmgStrain) * exp(beta);
	dmgStrain += deltaDmgStrain;
	LOG_TRACE("deltaDmgStrain=" << deltaDmgStrain << ", viscous overstress " << (epsN * omega - dmgStrain) * E);
	/* σN=Kn(εN-εd); dmgOverstress=σN-(1-ω)*Kn*εN=…=Kn(ω*εN-εd) */
	return (epsN * omega - dmgStrain) * E;
}

Real CpmPhys::computeViscoplScalingFactor(Real sigmaTNorm, Real sigmaTYield, Real dt)
{
	if (sigmaTNorm < sigmaTYield) return 1.;
	Real c    = undamagedCohesion * pow(plTau / (G * dt), plRateExp) * pow(sigmaTNorm - sigmaTYield, plRateExp - 1.);
	Real beta = solveBeta(c, plRateExp);
	//LOG_DEBUG("scaling factor "<<1.-exp(beta)*(1-sigmaTYield/sigmaTNorm));
	return 1. - exp(beta) * (1 - sigmaTYield / sigmaTNorm);
}

Real CpmPhys::funcG(const Real& kappaD, const Real& epsCrackOnset, const Real& epsFracture, const bool& neverDamage, const int& damLaw)
{
	if (kappaD < epsCrackOnset || neverDamage) return 0;
	switch (damLaw) {
		case 0: // linear
			return (1. - epsCrackOnset / kappaD) / (1. - epsCrackOnset / epsFracture);
		case 1: // exponential
			return 1. - (epsCrackOnset / kappaD) * exp(-(kappaD - epsCrackOnset) / epsFracture);
		default: throw std::runtime_error(__FILE__ " : switch default case error.");
	}
	throw runtime_error("CpmPhys::funcG: wrong damLaw\n");
}

Real CpmPhys::funcGDKappa(const Real& kappaD, const Real& epsCrackOnset, const Real& epsFracture, const bool& /*neverDamage*/, const int& damLaw)
{
	switch (damLaw) {
		case 0: // linear
			return epsCrackOnset / ((1. - epsCrackOnset / epsFracture) * kappaD * kappaD);
		case 1: // exponential
			return epsCrackOnset / kappaD * (1. / kappaD + 1. / epsFracture) * exp(-(kappaD - epsCrackOnset) / epsFracture);
		default: throw std::runtime_error(__FILE__ " : switch default case error.");
	}
	throw runtime_error("CpmPhys::funcGDKappa: wrong damLaw\n");
}

Real CpmPhys::funcGInv(const Real& omega, const Real& epsCrackOnset, const Real& epsFracture, const bool& neverDamage, const int& damLaw)
{
	if (omega == 0. || neverDamage) return 0;
	switch (damLaw) {
		case 0: // linear
			return epsCrackOnset / (1. - omega * (1. - epsCrackOnset / epsFracture));
		case 1: { // exponential
			// Newton's iterations
			Real fg, dfg, decr, ret = epsCrackOnset, tol = 1e-3;
			int  maxIter = 100;
			for (int i = 0; i < maxIter; i++) {
				fg = -omega + 1. - epsCrackOnset / ret * exp(-(ret - epsCrackOnset) / epsFracture);
				//dfg = (epsCrackOnset/ret/ret - epsCrackOnset*(ret-epsCrackOnset)/ret/epsFracture/epsFracture) * exp(-(ret-epsCrackOnset)/epsFracture);
				dfg  = CpmPhys::funcGDKappa(ret, epsCrackOnset, epsFracture, neverDamage, damLaw);
				decr = fg / dfg;
				ret -= decr;
				if (math::abs(decr / epsCrackOnset) < tol) { return ret; }
			}
			throw runtime_error("CpmPhys::funcGInv: no convergence\n");
		} break;
		default: throw std::runtime_error(__FILE__ " : switch default case error.");
	}
	throw runtime_error("CpmPhys::funcGInv: wrong damLaw\n");
}

void CpmPhys::setDamage(Real dmg)
{
	if (neverDamage) { return; }
	omega  = dmg;
	kappaD = CpmPhys::funcGInv(dmg, epsCrackOnset, epsFracture, neverDamage, damLaw);
}

void CpmPhys::setRelResidualStrength(Real r)
{
	if (neverDamage) { return; }
	if (r == 1.) {
		relResidualStrength = r;
		kappaD = omega = 0.;
		return;
	}
	Real k = epsFracture;
	Real g, dg, f, df, tol = 1e-3, e0i = 1. / epsCrackOnset, decr;
	int  maxIter = 100;
	int  i;
	for (i = 0; i < maxIter; i++) {
		g    = CpmPhys::funcG(k, epsCrackOnset, epsFracture, neverDamage, damLaw);
		dg   = CpmPhys::funcGDKappa(k, epsCrackOnset, epsFracture, neverDamage, damLaw);
		f    = -r + (1 - g) * k * e0i;
		df   = e0i * (1 - g - k * dg);
		decr = f / df;
		k -= decr;
		if (math::abs(decr) < tol) {
			kappaD              = k;
			omega               = CpmPhys::funcG(k, epsCrackOnset, epsFracture, neverDamage, damLaw);
			relResidualStrength = r;
			return;
		}
	}
	throw runtime_error("CpmPhys::setRelResidualStrength: no convergence\n");
}


/********************** Law2_ScGeom_CpmPhys_Cpm ****************************/
CREATE_LOGGER(Law2_ScGeom_CpmPhys_Cpm);


#ifdef YADE_CPM_FULL_MODEL_AVAILABLE
#include "../../../brefcom-mm.hh"
#endif

// #undef CPM_MATERIAL_MODEL (force trunk version of the model)

Real Law2_ScGeom_CpmPhys_Cpm::elasticEnergy()
{
#ifdef YADE_CPM_FULL_MODEL_AVAILABLE
	CPM_MATERIAL_MODEL_ELE
#else
	Real ret = 0.;
	FOREACH(const shared_ptr<Interaction>& I, *scene->interactions)
	{
		if (!I->isReal()) continue;
		CpmPhys* phys = dynamic_cast<CpmPhys*>(I->phys.get());
		if (phys) {
			ret += 0.5 * phys->normalForce.squaredNorm() / ((1 - (phys->epsN > 0 ? phys->omega : 0)) * phys->kn);
			ret += 0.5 * phys->shearForce.squaredNorm() / phys->ks;
		}
	}
	return ret;
#endif
}


#ifdef YADE_DEBUG
#define CPM_YADE_DEBUG_A                                                                                                                                                 \
	if (math::isnan(epsN)) {                                                                                                                                         \
		/*LOG_FATAL("refLength="<<geom->refLength<<"; pos1="<<geom->se31.position<<"; pos2="<<geom->se32.position<<"; displacementN="<<geom->displacementN());*/ \
		throw runtime_error("!! epsN==NaN !!");                                                                                                                  \
	}
#else
#define CPM_YADE_DEBUG_A
#endif


#define YADE_VERIFY(condition)                                                                                                                                 \
	if (!(condition)) {                                                                                                                                    \
		LOG_FATAL("Verification `" << #condition << "' failed!");                                                                                      \
		LOG_FATAL("in interaction #" << I->getId1() << "+#" << I->getId2());                                                                           \
		Omega::instance().saveSimulation("/tmp/verificationFailed.xml");                                                                               \
		throw;                                                                                                                                         \
	}
#define NNAN(a) YADE_VERIFY(!math::isnan(a));
#define NNANV(v)                                                                                                                                               \
	YADE_VERIFY(!math::isnan(v[0]));                                                                                                                       \
	assert(!math::isnan(v[1]));                                                                                                                            \
	assert(!math::isnan(v[2]));

bool Law2_ScGeom_CpmPhys_Cpm::go(shared_ptr<IGeom>& _geom, shared_ptr<IPhys>& _phys, Interaction* I)
{
	TIMING_DELTAS_START();
	ScGeom*  geom = static_cast<ScGeom*>(_geom.get());
	CpmPhys* phys = static_cast<CpmPhys*>(_phys.get());

	/* just the first time */
	if (I->isFresh(scene)) {
		const shared_ptr<Body> b1          = Body::byId(I->id1, scene);
		const shared_ptr<Body> b2          = Body::byId(I->id2, scene);
		const int              sphereIndex = Sphere::getClassIndexStatic();
		const int              facetIndex  = Facet::getClassIndexStatic();
		const int              wallIndex   = Wall::getClassIndexStatic();
		const int              boxIndex    = Box::getClassIndexStatic();
		const int              b1index     = b1->shape->getClassIndex();
		const int              b2index     = b2->shape->getClassIndex();
		if (b1index == sphereIndex && b2index == sphereIndex) { // both bodies are spheres
			const Vector3r& pos1   = Body::byId(I->id1, scene)->state->pos;
			const Vector3r& pos2   = Body::byId(I->id2, scene)->state->pos;
			Real            minRad = (geom->refR1 <= 0 ? geom->refR2 : (geom->refR2 <= 0 ? geom->refR1 : math::min(geom->refR1, geom->refR2)));
			Vector3r        shift2 = scene->isPeriodic ? Vector3r(scene->cell->hSize * I->cellDist.cast<Real>()) : Vector3r::Zero();
			phys->refLength        = (pos2 - pos1 + shift2).norm();
			phys->crossSection     = Mathr::PI * pow(minRad, 2);
			phys->refPD            = geom->refR1 + geom->refR2 - phys->refLength;
		} else if (
		        b1index == facetIndex || b2index == facetIndex || b1index == wallIndex || b2index == wallIndex || b1index == boxIndex
		        || b2index == boxIndex) { // one body is facet or wall or box
			shared_ptr<Body> sphere, plane;
			if (b1index == facetIndex || b1index == wallIndex || b1index == boxIndex) {
				plane  = b1;
				sphere = b2;
			} else {
				plane  = b2;
				sphere = b1;
			}
			Real rad           = ((Sphere*)sphere->shape.get())->radius;
			phys->refLength    = rad;
			phys->crossSection = Mathr::PI * pow(rad, 2);
			phys->refPD        = 0.;
		}
		phys->kn          = phys->crossSection * phys->E / phys->refLength;
		phys->ks          = phys->crossSection * phys->G / phys->refLength;
		phys->epsFracture = phys->epsCrackOnset * phys->relDuctility;
	}

	/* shorthands */
	Real&     epsN(phys->epsN);
	Vector3r& epsT(phys->epsT);
	Vector3r& epsTPl(phys->epsTPl);
	Real&     kappaD(phys->kappaD);
	/* Real& epsPlSum(phys->epsPlSum); */
	const Real& E(phys->E);
	const Real& undamagedCohesion(phys->undamagedCohesion);
	const Real& tanFrictionAngle(phys->tanFrictionAngle);
	const Real& G(phys->G);
	const Real& crossSection(phys->crossSection);
// FIXME - remove this pragma. Fixing omegaThreshold shadow is to be done later.
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpragmas"
#pragma GCC diagnostic ignored "-Wshadow"
	const Real& omegaThreshold(this->omegaThreshold);
#pragma GCC diagnostic pop
	const Real& epsCrackOnset(phys->epsCrackOnset);
	Real&       relResidualStrength(phys->relResidualStrength);
	/*const Real& relDuctility(phys->relDuctility); */
	const Real& epsFracture(phys->epsFracture);
	const int&  damLaw(phys->damLaw);
	const bool& neverDamage(phys->neverDamage);
	Real&       omega(phys->omega);
	Real&       sigmaN(phys->sigmaN);
	Vector3r&   sigmaT(phys->sigmaT);
	Real&       Fn(phys->Fn);
	Vector3r&   Fs(phys->Fs); /* for python access */
	const bool& isCohesive(phys->isCohesive);


#ifdef CPM_MATERIAL_MODEL
	const Real& dt = scene->dt;
	const Real& dmgTau(phys->dmgTau);
	const Real& plTau(phys->plTau);
	const Real& yieldLogSpeed(this->yieldLogSpeed);
	const int&  yieldSurfType(this->yieldSurfType);
	const Real& yieldEllipseShift(this->yieldEllipseShift);
#endif
	Real& epsNPl(phys->epsNPl);
// FIXME - remove this pragma. Fixing epsSoft and relKnSoft shadow is to be done later.
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wpragmas"
#pragma GCC diagnostic ignored "-Wshadow"
	const Real& epsSoft(this->epsSoft);
	const Real& relKnSoft(this->relKnSoft);
#pragma GCC diagnostic pop

	TIMING_DELTAS_CHECKPOINT("GO A");

	epsN = -(-phys->refPD + geom->penetrationDepth) / phys->refLength;
	//epsT = geom->rotate(epsT);
	geom->rotate(epsT);
	//epsT += geom->shearIncrement() / (phys->refLength + phys->refPD) ;
	epsT += geom->shearIncrement() / phys->refLength;

	/* debugging */
	CPM_YADE_DEBUG_A

	NNAN(epsN);
	NNANV(epsT);

/* constitutive law */
#ifdef CPM_MATERIAL_MODEL
	CPM_MATERIAL_MODEL
#else
	/* simplified public model */
	epsN += phys->isoPrestress / E;
	/* very simplified version of the constitutive law */
	Real xi2     = math::pow(phys->equivStrainShearContrib, 2);
	Real epsNorm = math::sqrt(math::pow(math::max(epsN - epsNPl, 0.), 2) + xi2 * epsT.squaredNorm());
	kappaD       = math::max(epsNorm, kappaD); /* internal variable, max positive strain (non-decreasing) */
	omega        = isCohesive ? phys->funcG(kappaD, epsCrackOnset, epsFracture, neverDamage, damLaw)
	                          : 1.;                                             /* damage variable (non-decreasing, as funcG is also non-decreasing) */
	sigmaN       = (1 - (epsN - epsNPl > 0 ? omega : 0)) * E * (epsN - epsNPl); /* damage taken in account in tension only */
	if ((epsSoft < 0) && (epsN - epsNPl < epsSoft)) {                           /* plastic slip in compression */
		Real sigmaNSoft = E * (epsSoft + relKnSoft * (epsN - epsNPl - epsSoft));
		if (sigmaNSoft > sigmaN) { /*assert(sigmaNSoft>sigmaN);*/
			epsNPl += (sigmaN - sigmaNSoft) / E;
			sigmaN = sigmaNSoft;
		}
	}
	sigmaT           = G * (epsT - epsTPl);                                                              /* trial stress */
	Real yieldSigmaT = math::max((Real)0., undamagedCohesion * (1 - omega) - sigmaN * tanFrictionAngle); /* Mohr-Coulomb law with damage */
	if (sigmaT.squaredNorm() > yieldSigmaT * yieldSigmaT) {
		Real scale = yieldSigmaT / sigmaT.norm();
		sigmaT *= scale; /* stress return */
		epsTPl += sigmaT * (1 - scale) / G;
	}
	relResidualStrength = isCohesive ? (kappaD < epsCrackOnset ? 1. : (1 - omega) * (kappaD) / epsCrackOnset) : 0;
#endif

	sigmaN -= phys->isoPrestress;

	NNAN(sigmaN);
	NNANV(sigmaT);
	NNAN(crossSection);
	if (!neverDamage) {
		NNAN(kappaD);
		NNAN(epsFracture);
		NNAN(omega);
	}

	/* handle broken contacts */
	if (epsN > 0. && ((isCohesive && omega > omegaThreshold) || !isCohesive)) {
		/* if (isCohesive) { */
		const shared_ptr<Body>&body1 = Body::byId(I->getId1(), scene), body2 = Body::byId(I->getId2(), scene);
		assert(body1);
		assert(body2);
		const shared_ptr<CpmState>&st1 = YADE_PTR_CAST<CpmState>(body1->state), st2 = YADE_PTR_CAST<CpmState>(body2->state);
		/* nice article about openMP::critical vs. scoped locks: http://www.thinkingparallel.com/2006/08/21/scoped-locking-vs-critical-in-openmp-a-personal-shootout/ */
		{
			const std::lock_guard<std::mutex> lock(st1->updateMutex);
			st1->numBrokenCohesive += 1; /* st1->epsPlBroken += epsPlSum; */
		}
		{
			const std::lock_guard<std::mutex> lock(st2->updateMutex);
			st2->numBrokenCohesive += 1; /* st2->epsPlBroken += epsPlSum; */
		}
		/* } */
		return false;
	}

	Fn                = sigmaN * crossSection;
	phys->normalForce = -Fn * geom->normal;
	Fs                = sigmaT * crossSection;
	phys->shearForce  = -Fs;

	TIMING_DELTAS_CHECKPOINT("GO B");

	Body::id_t id1 = I->getId1();
	Body::id_t id2 = I->getId2();

	State* b1 = Body::byId(id1, scene)->state.get();
	State* b2 = Body::byId(id2, scene)->state.get();

	Vector3r f = -phys->normalForce - phys->shearForce;
	if (!scene->isPeriodic) {
		applyForceAtContactPoint(f, geom->contactPoint, id1, b1->se3.position, id2, b2->se3.position);
	} else {
		scene->forces.addForce(id1, f);
		scene->forces.addForce(id2, -f);
		scene->forces.addTorque(id1, (geom->radius1 + .5 * (phys->refPD - geom->penetrationDepth)) * geom->normal.cross(f));
		scene->forces.addTorque(id2, (geom->radius2 + .5 * (phys->refPD - geom->penetrationDepth)) * geom->normal.cross(f));
	}
	TIMING_DELTAS_CHECKPOINT("rest");
	return true;
}


#ifdef YADE_OPENGL
/********************** Gl1_CpmPhys ****************************/

CREATE_LOGGER(Gl1_CpmPhys);

bool Gl1_CpmPhys::contactLine      = true;
bool Gl1_CpmPhys::dmgLabel         = true;
bool Gl1_CpmPhys::dmgPlane         = false;
bool Gl1_CpmPhys::epsNLabel        = true;
bool Gl1_CpmPhys::epsT             = false;
bool Gl1_CpmPhys::epsTAxes         = false;
bool Gl1_CpmPhys::normal           = false;
Real Gl1_CpmPhys::colorStrainRatio = -1;


void Gl1_CpmPhys::go(
        const shared_ptr<IPhys>& ip, const shared_ptr<Interaction>& i, const shared_ptr<Body>& /*b1*/, const shared_ptr<Body>& /*b2*/, bool /*wireFrame*/)
{
	const shared_ptr<CpmPhys>&               phys = boost::static_pointer_cast<CpmPhys>(ip);
	const shared_ptr<GenericSpheresContact>& geom = YADE_PTR_CAST<GenericSpheresContact>(i->geom);
	// FIXME: get the scene for periodicity; ugly!
	// declaration of ‘scene’ shadows a member of ‘yade::Gl1_CpmPhys’ [-Werror=shadow]
	Scene* scene2 = Omega::instance().getScene().get();

	//Vector3r lineColor(phys->omega,1-phys->omega,0.0); /* damaged links red, undamaged green */
	Vector3r lineColor = Shop::scalarOnColorScale(1. - phys->relResidualStrength);

	if (colorStrainRatio > 0) lineColor = Shop::scalarOnColorScale(phys->epsN / (phys->epsCrackOnset * colorStrainRatio));

	// FIXME: should be computed by the renderer; for now, use the real values
	//Vector3r pos1=geom->se31.position, pos2=geom->se32.position;
	Vector3r pos1 = scene2->bodies->operator[](i->id1)->state->pos, pos2 = scene2->bodies->operator[](i->id2)->state->pos;
	if (scene2->isPeriodic) {
		Vector3r dPos   = pos2 - pos1;
		pos1            = scene2->cell->wrapShearedPt(pos1);
		Vector3r shift2 = scene2->isPeriodic ? Vector3r(scene2->cell->hSize * i->cellDist.cast<Real>()) : Vector3r::Zero();
		pos2            = pos1 + dPos + shift2;
		//phys->refLength = (pos2 - pos1 + shift2).norm();
		//pos2=pos1+(geom->se32.position-geom->se31.position);
	}
	/*
		if (scene2->isPeriodic) {
			Vector3r temp = pos2 - pos1;
			pos1 = scene2->cell->wrapShearedPt(pos1);
			pos2 = pos1 + temp;
		}
		*/

	if (contactLine) GLUtils::GLDrawLine(pos1, pos2, lineColor);
	if (dmgLabel) {
		GLUtils::GLDrawNum(phys->omega, 0.5 * (pos1 + pos2), lineColor);
	} else if (epsNLabel) {
		GLUtils::GLDrawNum(phys->epsN, 0.5 * (pos1 + pos2), lineColor);
	}
	if (phys->omega > 0 && dmgPlane) {
		Real     halfSize = sqrt(1 - phys->relResidualStrength) * .5 * .705 * sqrt(phys->crossSection);
		Vector3r midPt    = .5 * Vector3r(pos1 + pos2);
		glDisable(GL_CULL_FACE);
		glPushMatrix();
		glTranslatev(midPt);
		Quaternionr q;
		q.setFromTwoVectors(Vector3r::UnitZ(), geom->normal);
		AngleAxisr aa(q);
		glRotate(aa.angle() * Mathr::RAD_TO_DEG, aa.axis()[0], aa.axis()[1], aa.axis()[2]);
		glBegin(GL_POLYGON)
			;
			glColor3v(lineColor);
			glVertex3(halfSize, 0., 0.);
			glVertex3(.5 * halfSize, .866 * halfSize, 0.);
			glVertex3(-.5 * halfSize, .866 * halfSize, 0.);
			glVertex3(-halfSize, 0., 0.);
			glVertex3(-.5 * halfSize, -.866 * halfSize, 0.);
			glVertex3(.5 * halfSize, -.866 * halfSize, 0.);
		glEnd();
		glPopMatrix();
	}

	Vector3r cp = boost::static_pointer_cast<GenericSpheresContact>(i->geom)->contactPoint;
	if (scene2->isPeriodic) { cp = scene2->cell->wrapShearedPt(cp); }
	if (epsT) {
		Real     maxShear = (phys->undamagedCohesion - phys->sigmaN * phys->tanFrictionAngle) / phys->G;
		Real     relShear = phys->epsT.norm() / maxShear;
		Real     scale    = phys->refLength;
		Vector3r dirShear = phys->epsT;
		dirShear.normalize();
		if (epsTAxes) {
			GLUtils::GLDrawLine(cp - Vector3r(scale, 0, 0), cp + Vector3r(scale, 0, 0));
			GLUtils::GLDrawLine(cp - Vector3r(0, scale, 0), cp + Vector3r(0, scale, 0));
			GLUtils::GLDrawLine(cp - Vector3r(0, 0, scale), cp + Vector3r(0, 0, scale));
		}
		GLUtils::GLDrawArrow(cp, cp + dirShear * relShear * scale, Vector3r(1., 0., 0.));
		GLUtils::GLDrawLine(cp + dirShear * relShear * scale, cp + dirShear * scale, Vector3r(.3, .3, .3));

		/* normal strain */ GLUtils::GLDrawArrow(cp, cp + geom->normal * (phys->epsN / maxShear), Vector3r(0., 1., 0.));
	}
	//if(normal) GLUtils::GLDrawArrow(cp,cp+geom->normal*.5*phys->equilibriumDist,Vector3r(0.,1.,0.));
}
#endif


/********************** CpmStateUpdater ****************************/
CREATE_LOGGER(CpmStateUpdater);
//Real CpmStateUpdater::maxOmega=0.;
//Real CpmStateUpdater::avgRelResidual=0.;

void CpmStateUpdater::update(Scene* _scene)
{
	// declaration of ‘scene’ shadows a member of ‘yade::CpmStateUpdater’ [-Werror=shadow]
	Scene*            scene2 = _scene ? _scene : Omega::instance().getScene().get();
	vector<BodyStats> bodyStats;
	bodyStats.resize(scene2->bodies->size());
	assert(bodyStats[0].nCohLinks == 0); // should be initialized by dfault ctor
	avgRelResidual           = 0;
	Real     nAvgRelResidual = 0;
	Matrix3r identity        = Matrix3r::Identity();
	Real     dmg;
	Matrix3r incr;
	FOREACH(const shared_ptr<Interaction>& I, *scene2->interactions)
	{
		if (!I) continue;
		if (!I->isReal()) continue;
		shared_ptr<CpmPhys> phys = YADE_PTR_DYN_CAST<CpmPhys>(I->phys);
		if (!phys) continue;
		const Body::id_t       id1 = I->getId1(), id2 = I->getId2();
		GenericSpheresContact* geom = YADE_CAST<GenericSpheresContact*>(I->geom.get());

		const Vector3r& n  = geom->normal;
		const Real&     Fn = phys->Fn;
		const Vector3r& Fs = phys->Fs;
		//stress[i,j] += geom->refLength*(Fn*n[i]*n[j]+0.5*(Fs[i]*n[j]+Fs[j]*n[i]));
		//stress += geom->refLength*(Fn*outer(n,n)+.5*(outer(Fs,n)+outer(n,Fs)));
		Matrix3r stress = phys->refLength * (Fn * n * n.transpose() + .5 * (Fs * n.transpose() + n * Fs.transpose()));

		bodyStats[id1].stress += stress;
		bodyStats[id2].stress += stress;
		bodyStats[id1].nLinks++;
		bodyStats[id2].nLinks++;

		if (!phys->isCohesive) continue;
		bodyStats[id1].nCohLinks++;
		bodyStats[id1].dmgSum += (1 - phys->relResidualStrength); // bodyStats[id1].epsPlSum += phys->epsPlSum;
		bodyStats[id2].nCohLinks++;
		bodyStats[id2].dmgSum += (1 - phys->relResidualStrength); // bodyStats[id2].epsPlSum += phys->epsPlSum;
		maxOmega = math::max(maxOmega, phys->omega);
		avgRelResidual += phys->relResidualStrength;
		nAvgRelResidual += 1;
		for (int i = 0; i < 3; i++) {
			for (int j = 0; j < 3; j++) {
				dmg  = 1 - phys->relResidualStrength;
				incr = -identity * dmg * 1.5 + n * n.transpose() * dmg * 7.5;
				bodyStats[id1].damageTensor += incr;
				bodyStats[id2].damageTensor += incr;
			}
		}
	}
	// 	Real tr;
	FOREACH(shared_ptr<Body> B, *scene2->bodies)
	{
		if (!B) continue;
		const Body::id_t& id = B->getId();
		// add damaged contacts that have already been deleted
		CpmState* state = dynamic_cast<CpmState*>(B->state.get());
		if (!state) continue;
		state->stress        = bodyStats[id].stress;
		int cohLinksWhenever = bodyStats[id].nCohLinks + state->numBrokenCohesive;
		if (cohLinksWhenever > 0) {
			state->normDmg = (bodyStats[id].dmgSum + state->numBrokenCohesive) / cohLinksWhenever;
			// state->normEpsPl = (bodyStats[id].epsPlSum+state->epsPlBroken)/cohLinksWhenever;
			if (state->normDmg > 1) {
				LOG_WARN(
				        "#" << id << " normDmg=" << state->normDmg << " nCohLinks=" << bodyStats[id].nCohLinks << ", numBrokenCohesive="
				            << state->numBrokenCohesive << ", dmgSum=" << bodyStats[id].dmgSum << ", numAllCohLinks" << cohLinksWhenever);
			}
			state->damageTensor = bodyStats[id].damageTensor / cohLinksWhenever;
		} else {
			state->normDmg      = 0; /*state->normEpsPl=0;*/
			state->damageTensor = Matrix3r::Zero();
		}
		B->shape->color = Vector3r(state->normDmg, 1 - state->normDmg, B->state->blockedDOFs == State::DOF_ALL ? 0 : 1);
		nAvgRelResidual += 0.5 * state->numBrokenCohesive; // add half or broken interactions, other body has the other half
		Sphere* sphere = dynamic_cast<Sphere*>(B->shape.get());
		if (!sphere) continue;
		Real& r       = sphere->radius;
		state->stress = bodyStats[id].stress / (4 / 3. * Mathr::PI * r * r * r / .62) * .5;
	}
	avgRelResidual /= nAvgRelResidual;
}


#undef YADE_VERIFY
#undef NNAN
#undef NNANV

} // namespace yade