void TestSolver::circle2() {
const ExprSymbol& x=ExprSymbol::new_("x");
const ExprSymbol& y=ExprSymbol::new_("y");
SystemFactory f;
f.add_var(x);
f.add_var(y);
f.add_ctr(sqr(x)+sqr(y)=1);
f.add_ctr(sqr(x-2)+sqr(y)=1);
double _sol1[]={1,0};
Vector sol1(2,_sol1);
System sys(f);
RoundRobin rr(1e-3);
CellStack stack;
CtcHC4 hc4(sys);
Vector prec(2,1e-3);
Solver solver(sys,hc4,rr,stack,prec,prec);
solver.start(IntervalVector(2,Interval(-10,10)));
CovSolverData::BoxStatus status;
bool res=solver.next(status);
CPPUNIT_ASSERT(res);
CPPUNIT_ASSERT(status==CovSolverData::UNKNOWN);
CPPUNIT_ASSERT(solver.get_data().nb_unknown()==1);
CPPUNIT_ASSERT(solver.get_data().unknown(0).is_superset(sol1));
res=solver.next(status);
CPPUNIT_ASSERT(!res);
}
static base::Vector<1>::Type sol( const VecDim& x,
const double radius, const double alpha1,
const double alpha2 )
{
VecDim dummy;
return (interface( x, radius, dummy ) ?
sol1( x, radius, alpha1, alpha2 ) :
sol2( x, radius, alpha1, alpha2 ) );
}
int main()
{
init();
initgraph(640, 480);
sol1();
sol4();
getch();
closegraph();
return 0;
}
void TestSolver::circle4() {
const ExprSymbol& x=ExprSymbol::new_("x");
const ExprSymbol& y=ExprSymbol::new_("y");
const ExprSymbol& r2=ExprSymbol::new_("r2");
SystemFactory f;
f.add_var(x);
f.add_var(y);
f.add_var(r2);
f.add_ctr(sqr(x)+sqr(y)=r2);
f.add_ctr(sqr(x-1)+sqr(y)=r2);
double cospi6=0.5;
double sinpi6=::sqrt(3)/2;
double _sol1[]={cospi6,sinpi6,1};
double _sol2[]={cospi6,-sinpi6,1};
Vector sol1(3,_sol1);
Vector sol2(3,_sol2);
System sys(f);
RoundRobin rr(1e-3);
CellStack stack;
CtcHC4 hc4(sys);
VarSet params(sys.f_ctrs,sys.args[2],false);
Vector prec(3,1e-3);
Solver solver(sys,hc4,rr,stack,prec,prec);
solver.set_params(params);
IntervalVector box(3);
box[0]=Interval(-10,10);
box[1]=Interval(-10,10);
box[2]=Interval(1,1);
solver.start(box);
CovSolverData::BoxStatus status;
bool res=solver.next(status);
CPPUNIT_ASSERT(res);
CPPUNIT_ASSERT(status==CovSolverData::SOLUTION);
CPPUNIT_ASSERT(solver.get_data().nb_solution()==1);
CPPUNIT_ASSERT(solver.get_data().solution(0).is_superset(sol1));
res=solver.next(status);
CPPUNIT_ASSERT(status==CovSolverData::SOLUTION);
CPPUNIT_ASSERT(solver.get_data().nb_solution()==2);
CPPUNIT_ASSERT(solver.get_data().solution(1).is_superset(sol2));
res=solver.next(status);
CPPUNIT_ASSERT(!res);
}
void TestSolver::circle3() {
const ExprSymbol& x=ExprSymbol::new_("x");
const ExprSymbol& y=ExprSymbol::new_("y");
SystemFactory f;
f.add_var(x);
f.add_var(y);
f.add_ctr(sqr(x)+sqr(y)=1);
f.add_ctr(sqr(x-1)+sqr(y)=1);
double cospi6=0.5;
double sinpi6=(sqrt(Interval(3))/2).lb();
f.add_ctr(4*y*abs(y)<=3); // a rigorous way to impose y<=sin(pi/6).
double _sol1[]={cospi6,sinpi6};
double _sol2[]={cospi6,-sinpi6};
Vector sol1(2,_sol1);
Vector sol2(2,_sol2);
System sys(f);
RoundRobin rr(1e-3);
CellStack stack;
CtcHC4 hc4(sys);
Vector prec(2,1e-3);
Solver solver(sys,hc4,rr,stack,prec,prec);
solver.start(IntervalVector(2,Interval(-10,10)));
CovSolverData::BoxStatus status;
bool res=solver.next(status);
CPPUNIT_ASSERT(res);
CPPUNIT_ASSERT(status==CovSolverData::UNKNOWN);
CPPUNIT_ASSERT(solver.get_data().nb_unknown()==1);
CPPUNIT_ASSERT(solver.get_data().unknown(0).is_superset(sol1));
res=solver.next(status);
CPPUNIT_ASSERT(res);
CPPUNIT_ASSERT(status==CovSolverData::SOLUTION);
CPPUNIT_ASSERT(solver.get_data().nb_solution()==1);
CPPUNIT_ASSERT(solver.get_data().solution(0).is_superset(sol2));
res=solver.next(status);
CPPUNIT_ASSERT(!res);
}
int sol(pair_t *r, double c, double d, double a[2], pair_t p[2])
{
double t;
t = pi / 2. - c;
a[0] += t;
a[1] += t;
p[0] = rot(p[0], t);
p[1] = rot(p[1], t);
if (sol1(r, d, a, p) == 0)
return 0;
*r = rot(*r, -t);
return 1;
}
int main()
{
eoPop<DualVector> pop;
// fixed test
DualVector sol1(2,-1);
DualVector sol2(2,-1);
DualVector sol3(2,1);
DualVector sol4(2,1);
pop.push_back( sol1 );
pop.push_back( sol2 );
pop.push_back( sol3 );
pop.push_back( sol4 );
// on the sphere function everyone has the same fitness of 1
if( test(pop, 0) != 0 ) {
exit(1);
}
pop.erase(pop.begin(),pop.end());
// fixed test
sol1 = DualVector(2,0);
sol2 = DualVector(2,0);
sol3 = DualVector(2,1);
sol4 = DualVector(2,1);
pop.push_back( sol1 );
pop.push_back( sol2 );
pop.push_back( sol3 );
pop.push_back( sol4 );
if( test(pop, 1) != 1 ) {
exit(1);
}
// test on a random normal distribution
eoNormalGenerator<double> normal(1,rng);
eoInitFixedLength<DualVector> init_N(2, normal);
pop = eoPop<DualVector>( 1000000, init_N );
double iqr = test(pop, 1.09);
if( iqr < 1.08 || iqr > 1.11 ) {
exit(1);
}
}
int sol(pair_t *r, double c, double d, double a[2], pair_t p[2])
{
double t = -c;
pair_t q[2], z;
a[0] += t;
a[1] += t;
q[0] = rot(p[0], t);
q[1] = rot(p[1], t);
if (sol1(&z, d, a, q) == 0)
return 0;
*r = rot(z, -t);
{ pair_t p = { 6, 5 };
p = rot(p, t);
printf("need: (%.5f, %.5f)\n", p.x, p.y);
}
return 1;
}
bool SIMoutput::dumpVector (const Vector& vsol, const char* fname,
utl::LogStream& os, std::streamsize precision) const
{
if (vsol.empty() || myPoints.empty())
return true;
size_t i, j, k;
Matrix sol1;
Vector lsol;
for (i = 0; i < myModel.size(); i++)
{
if (myModel[i]->empty()) continue; // skip empty patches
std::vector<ResPtPair>::const_iterator pit;
ResPointVec::const_iterator p;
std::array<RealArray,3> params;
IntVec points;
// Find all evaluation points within this patch, if any
for (j = 0, pit = myPoints.begin(); pit != myPoints.end(); ++pit)
for (p = pit->second.begin(); p != pit->second.end(); j++, ++p)
if (this->getLocalPatchIndex(p->patch) == (int)(i+1))
if (opt.discretization >= ASM::Spline)
{
points.push_back(p->inod > 0 ? p->inod : -(j+1));
for (k = 0; k < myModel[i]->getNoParamDim(); k++)
params[k].push_back(p->u[k]);
}
else if (p->inod > 0)
points.push_back(p->inod);
if (points.empty()) continue; // no points in this patch
// Evaluate/extracto nodal solution variables
myModel[i]->extractNodeVec(vsol,lsol);
if (opt.discretization >= ASM::Spline)
{
if (!myModel[i]->evalSolution(sol1,lsol,params.data(),false))
return false;
}
else
{
if (!myModel[i]->getSolution(sol1,lsol,points))
return false;
}
// Formatted output, use scientific notation with fixed field width
std::streamsize flWidth = 8 + precision;
std::streamsize oldPrec = os.precision(precision);
std::ios::fmtflags oldF = os.flags(std::ios::scientific | std::ios::right);
for (j = 0; j < points.size(); j++)
{
if (points[j] < 0)
os <<" Point #"<< -points[j];
else
{
points[j] = myModel[i]->getNodeID(points[j]);
os <<" Node #"<< points[j];
}
os <<":\t"<< fname <<" =";
for (k = 1; k <= sol1.rows(); k++)
os << std::setw(flWidth) << utl::trunc(sol1(k,j+1));
os << std::endl;
}
os.precision(oldPrec);
os.flags(oldF);
}
return true;
}
bool SIMoutput::dumpResults (const Vector& psol, double time,
utl::LogStream& os, const ResPointVec& gPoints,
bool formatted, std::streamsize precision) const
{
if (gPoints.empty())
return true;
size_t i, j, k;
Matrix sol1, sol2;
Vector reactionFS;
const Vector* reactionForces = myEqSys->getReactions();
for (i = 0; i < myModel.size(); i++)
{
if (myModel[i]->empty()) continue; // skip empty patches
ResPointVec::const_iterator p;
std::array<RealArray,3> params;
IntVec points;
// Find all evaluation points within this patch, if any
for (j = 0, p = gPoints.begin(); p != gPoints.end(); j++, p++)
if (this->getLocalPatchIndex(p->patch) == (int)(i+1))
if (opt.discretization >= ASM::Spline)
{
points.push_back(p->inod > 0 ? p->inod : -(j+1));
for (k = 0; k < myModel[i]->getNoParamDim(); k++)
params[k].push_back(p->u[k]);
}
else if (p->inod > 0)
points.push_back(p->inod);
if (points.empty()) continue; // no points in this patch
myModel[i]->extractNodeVec(psol,myProblem->getSolution());
if (opt.discretization >= ASM::Spline)
{
// Evaluate the primary solution variables
if (!myModel[i]->evalSolution(sol1,myProblem->getSolution(),
params.data(),false))
return false;
// Evaluate the secondary solution variables
LocalSystem::patch = i;
if (myProblem->getNoFields(2) > 0)
{
const_cast<SIMoutput*>(this)->setPatchMaterial(i+1);
if (!myModel[i]->evalSolution(sol2,*myProblem,params.data(),false))
return false;
}
}
else
// Extract nodal primary solution variables
if (!myModel[i]->getSolution(sol1,myProblem->getSolution(),points))
return false;
// Formatted output, use scientific notation with fixed field width
std::streamsize flWidth = 8 + precision;
std::streamsize oldPrec = os.precision(precision);
std::ios::fmtflags oldF = os.flags(std::ios::scientific | std::ios::right);
for (j = 0; j < points.size(); j++)
{
if (!formatted)
os << time <<" ";
else if (points[j] < 0)
os <<" Point #"<< -points[j] <<":\tsol1 =";
else
{
points[j] = myModel[i]->getNodeID(points[j]);
os <<" Node #"<< points[j] <<":\tsol1 =";
}
for (k = 1; k <= sol1.rows(); k++)
os << std::setw(flWidth) << utl::trunc(sol1(k,j+1));
if (opt.discretization >= ASM::Spline)
{
if (formatted && sol2.rows() > 0)
os <<"\n\t\tsol2 =";
for (k = 1; k <= sol2.rows(); k++)
os << std::setw(flWidth) << utl::trunc(sol2(k,j+1));
}
if (reactionForces && points[j] > 0)
// Print nodal reaction forces for nodes with prescribed DOFs
if (mySam->getNodalReactions(points[j],*reactionForces,reactionFS))
{
if (formatted)
os <<"\n\t\treac =";
for (k = 0; k < reactionFS.size(); k++)
os << std::setw(flWidth) << utl::trunc(reactionFS[k]);
}
os << std::endl;
}
os.precision(oldPrec);
os.flags(oldF);
}
return true;
}