cln::cl_N HighPrecisionComplexPolynom::EvalPoly(cln::cl_N* Poly, int Maxpow, cln::cl_N Valu) {
int pow;
cln::cl_N xpow, sum;
sum = As(cln::cl_N)(complex(ZERO,ZERO));
xpow = As(cln::cl_N)(complex(ONE,ZERO));
for(pow = 0; pow < Maxpow+1; pow++)
{ sum = sum+xpow*Poly[pow];
xpow = xpow*Valu; }
return sum;
}
ControlledLeds newControlledLed(Led led) {
struct LedGroup group = (struct LedGroup){ &led, 1 };
return newControlledLedGroup(&group);
}
ControlledLeds newControlledLedGroup(LedGroup group) {
if (group == NULL) return Invalid(ControlledLeds);
_ControlledLeds leds = kalloc(sizeof(struct _ControlledLeds));
if (!leds) return Invalid(ControlledLeds);
LedList *underlying = addNewLedsToList(group);
if (!underlying) {
free(leds);
return Invalid(ControlledLeds);
}
leds->mask = 0;
leds->leds = underlying;
leds->count = group->count;
leds->next = NULL;
ControlledLeds result = As(ControlledLeds, leds);
controlLeds(result, LedsDisabled);
LL_APPEND(controlled_leds, leds);
return result;
}
static void cleanUnderlyingLeds(ControlledLeds leds) {
LedList elem = NULL, tmp = NULL;
LL_FOREACH_SAFE(underlying_leds, elem, tmp) {
for (int i = 0; i < LEDS->count; i++) {
if (elem == LEDS->leds[i]) {
reduceRefcount(elem);
}
}
}
}
static ProcessBase initializeProcessInternal(void *stackPointer) {
PCB process = kalloc(sizeof(struct PCB));
if (!process) return Invalid(ProcessBase);
process->stackPointer = stackPointer;
process->extra = NULL;
return As(ProcessBase, process);
}
Button newButton(Pin pin, ButtonType flags) {
_Button button = kalloc(sizeof(struct _Button));
if (!button) return Invalid(Button);
if (!occupyPin(pin, PinButtonInput)) {
free(button);
return Invalid(Button);
}
button->pin = pin;
button->flags = flags;
button->status = 0;
initButton(pin, flags);
return As(Button, button);
}
ProcessBase createProcessBase(ProcessEntryPoint entryPoint, void *processArgument, uint16_t stackSize) {
MockProcess process = malloc(sizeof(struct MockProcess));
if (!process) return Invalid(ProcessBase);
process->entryPoint = entryPoint;
process->processArgument = processArgument;
process->stackSize = stackSize;
process->destroyed = FALSE;
process->extra = NULL;
process->scheduled = 0;
process->stackTop = malloc(stackSize);
process->stackPointer = process->stackTop - INITIAL_STACK_SIZE;
return As(ProcessBase, process);
}
void VerifyBackedByImageBrush(
const ComPtr<ICanvasBrushInternal>& brushInternal,
ComPtr<ID2D1Image>* outTarget = nullptr) // Optionally retrieve the target image
{
auto d2dBrush = brushInternal->GetD2DBrush();
ComPtr<ID2D1ImageBrush> imageBrush;
ThrowIfFailed(d2dBrush.As(&imageBrush));
if (outTarget)
{
ComPtr<ID2D1Image> target;
imageBrush->GetImage(&target);
*outTarget = target;
}
}
void VerifyBackedByBitmapBrush(
const ComPtr<ICanvasBrushInternal>& brushInternal,
ComPtr<ID2D1Image>* outTarget = nullptr) // Optionally retrieve the target bitmap
{
auto d2dBrush = brushInternal->GetD2DBrush();
ComPtr<ID2D1BitmapBrush1> bitmapBrush;
ThrowIfFailed(d2dBrush.As(&bitmapBrush));
if (outTarget)
{
ComPtr<ID2D1Bitmap> target;
bitmapBrush->GetBitmap(&target);
*outTarget = target;
}
}
/**
* This describes the basic use of Eigen::AutoDiffScalar
*/
void basic_use_autodiff_scalar(){
std::cout << "== basic_use_autodiff_scalar() ==" << std::endl;
typedef Eigen::AutoDiffScalar<Eigen::VectorXd> AScalar;
// AScalar stores a scalar and a derivative vector.
// Instantiate an AutoDiffScalar variable with a normal Scalar
double s = 0.3;
AScalar As(s);
// Get the value from the Instance
std::cout << "value: " << As.value() << std::endl;
// The derivative vector
As.derivatives(); // gives you a reference of
// the contained derivative vector
// Resize the derivative vector
As.derivatives().resize(2);
/**
* Important note:
* All ActiveScalars which are used in one computation must have
* either a common derivative vector length or a zero-length
* derivative vector.
*/
// Set the initial derivative vector
As.derivatives() = Eigen::VectorXd::Unit(2,0);
std::cout << "Derivative vector : " <<
As.derivatives().transpose() << std::endl;
// Instantiate another AScalar
AScalar Ab(4);
Ab.derivatives() = Eigen::VectorXd::Unit(2,1);
// Do the most simple calculation
AScalar Ac = As * Ab;
std::cout << "Result/Ac.value()" << Ac.value() << std::endl;
std::cout << "Gradient: " << Ac.derivatives().transpose() << std::endl;
}
int main(void)
{
const int N = 101;
mcon::Vector<double> As(N);
for ( int A = 0; A < N; ++A )
{
double alpha = 0.0;
if ( A <= 21 )
{
}
else if ( A < 50 )
{
alpha = 0.5842 * pow( A-21 , 0.4) + 0.07886 * (A-21);
}
else
{
alpha = 0.1102 * (A-8.7);
}
As[A] = alpha;
}
mfio::Csv::Write("Kaiser.csv", As);
return 0;
}
int main(int argc, char** argv) {
int rv = MPI_Init(&argc, &argv);
assert(rv == MPI_SUCCESS);
int size;
rv = MPI_Comm_size(MPI_COMM_WORLD, &size);
assert(rv == MPI_SUCCESS);
int rank;
rv = MPI_Comm_rank(MPI_COMM_WORLD, &rank);
assert(rv == MPI_SUCCESS);
MPI_Status status;
assert(size == 2);
assert(M % 2 == 0);
double start_time = MPI_Wtime();
std::vector<Value> A(M + 1);
std::vector<Value> B(M + 1);
std::vector<Value> C(M + 1);
std::vector<Value> F(M + 1);
A[0] = Value(0.0, 0.0); // Not used.
for (int m = 1; m <= M - 1; m++) {
A[m] = Value(d / h / h, D / h / h);
}
A[M] = Value(1.0, 1.0);
B[0] = Value(1.0, 1.0);
for (int m = 1; m <= M - 1; m++) {
B[m] = Value(-2.0 * d / h / h - 1.0 / tau, -2.0 * D / h / h - 1.0 / tau);
}
B[M] = Value(-1.0, -1.0);
C[0] = Value(-1.0, -1.0);
for (int m = 1; m <= M - 1; m++) {
C[m] = Value(d / h / h, D / h / h);
}
C[M] = Value(0.0, 0.0); // Not used.
std::vector<Value> As(M + 1);
std::vector<Value> Bs(M + 1);
std::vector<Value> Cs(M + 1);
std::vector<Value> Fs(M + 1);
As[0] = Value(0.0, 0.0);
for (int m = 1; m <= M; m++) {
As[m] = -A[m] * A[m - 1] / B[m - 1];
}
Bs[0] = B[0] - C[0] * A[1] / B[1];
for (int m = 1; m <= M - 1; m++) {
Bs[m] = B[m] - A[m] * C[m - 1] / B[m - 1] - C[m] * A[m + 1] / B[m + 1];
}
Bs[M] = B[M] - A[M] * C[M - 1] / B[M - 1];
for (int m = 0; m <= M - 1; m++) {
Cs[m] = -C[m] * C[m + 1] / B[m + 1];
}
Cs[M] = Value(0.0, 0.0);
std::vector<Value> prev_values(M + 1);
std::vector<Value> curr_values(M + 1);
InitializeValues(curr_values);
std::vector<Value> P(M + 1);
std::vector<Value> Q(M + 1);
for (int n = 0; n < N; n++) {
prev_values.swap(curr_values);
F[0] = Value(0.0, 0.0);
for (int m = 1; m <= M - 1; m++) {
if (m % 2 == rank) {
F[m].u = -prev_values[m].u / tau - f(prev_values[m]);
F[m].v = -prev_values[m].v / tau - g(prev_values[m]);
}
}
F[M] = Value(0.0, 0.0);
for (int m = 1; m <= M - 1; m++) {
if (m % 2 == rank) {
rv = MPI_Send(&F[m].u, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD);
assert(rv == MPI_SUCCESS);
rv = MPI_Send(&F[m].v, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD);
assert(rv == MPI_SUCCESS);
} else {
rv = MPI_Recv(&F[m].u, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD, &status);
assert(rv == MPI_SUCCESS);
rv = MPI_Recv(&F[m].v, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD, &status);
assert(rv == MPI_SUCCESS);
}
}
Fs[0] = F[0] - C[0] / B[1] * F[1];
for (int m = 1; m <= M - 1; m++) {
if (m % 2 == rank) {
Fs[m] = F[m] - A[m] / B[m - 1] * F[m - 1] - C[m] / B[m + 1] * F[m + 1];
}
}
Fs[M] = F[M] - A[M] / B[M - 1] * F[M - 1];
if (rank == 0) {
P[0] = -Cs[0] / Bs[0];
Q[0] = Fs[0] / Bs[0];
} else {
P[1] = -Cs[1] / Bs[1];
Q[1] = Fs[1] / Bs[1];
}
for (int m = 2; m <= M; m++) {
if (m % 2 == rank) {
P[m] = -Cs[m] / (As[m] * P[m - 2] + Bs[m]);
Q[m] = (Fs[m] - As[m] * Q[m - 2]) / (As[m] * P[m - 2] + Bs[m]);
}
}
if (M % 2 == rank) {
curr_values[M] = Q[M];
} else {
curr_values[M - 1] = Q[M - 1];
}
for (int m = M - 2; m >= 0; m--) {
if (m % 2 == rank) {
curr_values[m] = P[m] * curr_values[m + 2] + Q[m];
}
}
}
for (int m = 0; m <= M; m++) {
if (m % 2 == rank) {
rv = MPI_Send(&curr_values[m].u, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD);
assert(rv == MPI_SUCCESS);
rv = MPI_Send(&curr_values[m].v, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD);
assert(rv == MPI_SUCCESS);
} else {
rv = MPI_Recv(&curr_values[m].u, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD, &status);
assert(rv == MPI_SUCCESS);
rv = MPI_Recv(&curr_values[m].v, 1, MPI_DOUBLE, (rank + 1) % 2, m, MPI_COMM_WORLD, &status);
assert(rv == MPI_SUCCESS);
}
}
if (rank == 0) {
printf("%lf\n", MPI_Wtime() - start_time);
/*
for (int m = 0; m < M; m++) {
double coord = X * m / M;
printf("%lf %lf %lf\n", coord, curr_values[m].u, curr_values[m].v);
}
*/
}
rv = MPI_Finalize();
assert(rv == MPI_SUCCESS);
return EXIT_SUCCESS;
}
//
// Find the complex roots of a complex polynomial Poly
// The order is Maxpow
// The result will be in the array Root
//
void HighPrecisionComplexPolynom::Polyrootc(cln::cl_N* Poly, int Maxpow, cln::cl_N* Root) {
int ord, pow, fnd, pov, maxp;
cln::cl_N poly[1+Maxpow], polc[1+Maxpow], coef[1+Maxpow], coen[1+Maxpow];
// Put coefficients in an array
for(pow = 0; pow < Maxpow+1; pow++) {
poly[pow] = As(cln::cl_N)(Poly[pow]);
coef[pow] = As(cln::cl_N)(Poly[pow]);
}
for(pow = 0; pow < Maxpow+1; pow++) {
polc[pow] = As(cln::cl_N)(complex(ZERO,ZERO));
}
polc[0] = As(cln::cl_N)(complex(ONE,ZERO));
fnd = -1;
// Loop for finding all roots
for(ord = 0; ord < Maxpow; ord++) {
fnd++;
pov = Maxpow-fnd;
if(fnd < Maxpow) {
if(LogLevel>4) {
printf(" root number: %d\n",fnd+1);
}
if((ord%2 == 1) && (Maxpow%2 == 0) && (false)) {
Root[fnd] = As(cln::cl_N)(conjugate(Root[fnd-1]));
cln::cl_N val0 = EvalPoly(poly, Maxpow, Root[fnd]);
if(LogLevel>3) {
printf("root = %f +i*%f\n", double_approx(realpart(Root[fnd])), double_approx(imagpart(Root[fnd])));
printf("value at root: %f +i*%f\n", double_approx(realpart(val0)), double_approx(imagpart(val0)));
}
}
else {
Root[fnd] = Lasolv(poly,pov, complex(ONE,ONE), 150);
}
for(pow = Maxpow; pow > 0; pow--) {
polc[pow] = polc[pow-1]-Root[fnd]*polc[pow];
}
polc[0] = -Root[fnd]*polc[pow];
// Divide the polynomial by the root
maxp = Maxpow-fnd-1;
coen[maxp] = coef[maxp+1];
for(pow = maxp-1; pow > -1; pow--) {
coen[pow] = coef[pow+1]+Root[fnd]*coen[pow+1];
}
for(pow = 0; pow < maxp+1; pow++) {
coef[pow] = coen[pow];
poly[pow] = coef[pow];
}
}
else {
break;
}
}
// Compare input with product of root factors
for(pow = 0; pow < Maxpow+1; pow++) {
polc[pow] = Poly[pow]-poly[0]*polc[pow];
}
if(LogLevel>4) {
printf("control polynomial should be close to zero:\n");
for(pow = 0; pow < Maxpow+1; pow++) {
printf(" x^{%d}\n",pow);
printf("%1.15f +i*%1.15f\n",double_approx(realpart(polc[pow])), double_approx(imagpart(polc[pow])));
}
}
}
//
// Find a root of a complex polynomial by Laguerre iteration.
//
// The polynomial is Poly
// The order is Maxpow
//
// The precision: Digit
cln::cl_N HighPrecisionComplexPolynom::Lasolv(cln::cl_N* Poly, int Maxpow, cln::cl_N root, int itemax) {
int pow, ite;
root = complex(ZERO,ZERO);
cln::cl_F angl, small = As(cln::cl_F)(expt(cln::cl_float(0.1,clnDIGIT),DIGIT/2));
cln::cl_N dif1[Maxpow], dif2[Maxpow-1];
cln::cl_N val0, val, val1, val2, denp, denm, las1, las2, sqrv;
// cln::cl_N root;
for(pow = 0; pow < Maxpow; pow++)
dif1[pow] = (pow+1)*Poly[pow+1];
for(pow = 0; pow < Maxpow-1; pow++)
dif2[pow] = (pow+1)*dif1[pow+1];
// The maximal allowed number of iterations is set here;
// this can be chosen larger, but 100 usually suffices
// root = As(cln::cl_N)(complex(ZERO,ZERO));
val0 = EvalPoly(Poly,Maxpow,root);
// Iteration
for(ite = 0; ite < itemax; ite++)
{
val = val0;
val1 = EvalPoly(dif1,Maxpow-1,root);
val2 = EvalPoly(dif2,Maxpow-2,root);
sqrv = (Maxpow-1)*((Maxpow-1)*val1*val1-Maxpow*val0*val2);
angl = HALF*cln::cl_float(phase(sqrv),clnDIGIT);
sqrv = sqrt(abs(sqrv))*complex(cos(angl),sin(angl));
denp = val1+sqrv;
denm = val1-sqrv;
if(denp == complex(ZERO,ZERO))
root = root-Maxpow*val0/denm;
else
{ if(denm == complex(ZERO,ZERO))
root = root-Maxpow*val0/denp;
else
{ las1 = -Maxpow*val0/denp;
las2 = -Maxpow*val0/denm;
if(realpart(las1*conjugate(las1)) <
realpart(las2*conjugate(las2)))
root = root+las1;
else
root = root+las2; } }
// Look whether the root is good enough
val0 = EvalPoly(Poly,Maxpow,root);
if(abs(val0) == ZERO || (abs(val0) < small) && abs(val0/val) > 0.7) {
if(LogLevel>4) {
printf("Laguerre iterations: %d\n", ite);
printf("root = %f +i* %f\n", double_approx(realpart(root)), double_approx(imagpart(root)));
printf("value at root: %f +i* %f\n", double_approx(realpart(val0)), double_approx(imagpart(val0)));
}
break;
}
}
if(ite >= itemax) {
printf("Laguerre iteration did not converge\n");
exit(5);
}
return root;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
void scalarGeneralExchange::manipulateScalarField(volScalarField& explicitEulerSource,
volScalarField& implicitEulerSource,
int speciesID) const
{
// reset Scalar field
explicitEulerSource.internalField() = 0.0;
implicitEulerSource.internalField() = 0.0;
if(speciesID>=0 && particleSpeciesValue_[speciesID]<0.0) //skip if species is not active
return;
//Set the names of the exchange fields
word fieldName;
word partDatName;
word partFluxName;
word partTransCoeffName;
word partFluidName;
scalar transportParameter;
// realloc the arrays to pull particle data
if(speciesID<0) //this is the temperature - always pull from LIGGGHTS
{
fieldName = tempFieldName_;
partDatName = partTempName_;
partFluxName = partHeatFluxName_;
partTransCoeffName = partHeatTransCoeffName_;
partFluidName = partHeatFluidName_;
transportParameter = lambda_;
allocateMyArrays(0.0);
particleCloud_.dataExchangeM().getData(partDatName,"scalar-atom", partDat_);
}
else
{
fieldName = eulerianFieldNames_[speciesID];
partDatName = partSpeciesNames_[speciesID];
partFluxName = partSpeciesFluxNames_[speciesID];
partTransCoeffName = partSpeciesTransCoeffNames_[speciesID];
partFluidName = partSpeciesFluidNames_[speciesID];
transportParameter = DMolecular_[speciesID];
allocateMyArrays(0.0);
if(particleSpeciesValue_[speciesID]>ALARGECONCENTRATION)
particleCloud_.dataExchangeM().getData(partDatName,"scalar-atom", partDat_);
}
if (scaleDia_ > 1)
Info << typeName << " using scale = " << scaleDia_ << endl;
else if (particleCloud_.cg() > 1)
{
scaleDia_=particleCloud_.cg();
Info << typeName << " using scale from liggghts cg = " << scaleDia_ << endl;
}
//==============================
// get references
const volScalarField& voidfraction_(particleCloud_.mesh().lookupObject<volScalarField> (voidfractionFieldName_)); // ref to voidfraction field
const volVectorField& U_(particleCloud_.mesh().lookupObject<volVectorField> (velFieldName_));
const volScalarField& fluidScalarField_(particleCloud_.mesh().lookupObject<volScalarField> (fieldName)); // ref to scalar field
const volScalarField& nufField = forceSubM(0).nuField();
//==============================
// calc La based heat flux
vector position(0,0,0);
scalar voidfraction(1);
vector Ufluid(0,0,0);
scalar fluidValue(0);
label cellI=0;
vector Us(0,0,0);
vector Ur(0,0,0);
scalar dscaled(0);
scalar nuf(0);
scalar magUr(0);
scalar As(0);
scalar Rep(0);
scalar Pr(0);
scalar sDth(scaleDia_*scaleDia_*scaleDia_);
interpolationCellPoint<scalar> voidfractionInterpolator_(voidfraction_);
interpolationCellPoint<vector> UInterpolator_(U_);
interpolationCellPoint<scalar> fluidScalarFieldInterpolator_(fluidScalarField_);
#include "setupProbeModel.H"
for(int index = 0;index < particleCloud_.numberOfParticles(); ++index)
{
cellI = particleCloud_.cellIDs()[index][0];
if(cellI >= 0)
{
if(forceSubM(0).interpolation())
{
position = particleCloud_.position(index);
voidfraction = voidfractionInterpolator_.interpolate(position,cellI);
Ufluid = UInterpolator_.interpolate(position,cellI);
fluidValue = fluidScalarFieldInterpolator_.interpolate(position,cellI);
}else
{
voidfraction = voidfraction_[cellI];
Ufluid = U_[cellI];
fluidValue = fluidScalarField_[cellI];
}
// calc relative velocity
Us = particleCloud_.velocity(index);
Ur = Ufluid-Us;
magUr = mag(Ur);
dscaled = 2*particleCloud_.radius(index)/scaleDia_;
As = dscaled*dscaled*M_PI*sDth;
nuf = nufField[cellI];
Rep = dscaled*magUr/nuf;
if(speciesID<0) //have temperature
Pr = Prandtl_;
else
Pr = max(SMALL,nuf/transportParameter); //This is Sc for species
scalar alpha = transportParameter*(this->*Nusselt)(Rep,Pr,voidfraction)/(dscaled);
// calc convective heat flux [W]
scalar areaTimesTransferCoefficient = alpha * As;
scalar tmpPartFlux = areaTimesTransferCoefficient
* (fluidValue - partDat_[index][0]);
partDatFlux_[index][0] = tmpPartFlux;
// split implicit/explicit contribution
forceSubM(0).explicitCorrScalar( partDatTmpImpl_[index][0],
partDatTmpExpl_[index][0],
areaTimesTransferCoefficient,
fluidValue,
fluidScalarField_[cellI],
partDat_[index][0],
forceSubM(0).verbose()
);
if(validPartTransCoeff_)
partDatTransCoeff_[index][0] = alpha;
if(validPartFluid_)
partDatFluid_[index][0] = fluidValue;
if( forceSubM(0).verbose())
{
Pout << "fieldName = " << fieldName << endl;
Pout << "partTransCoeffName = " << partTransCoeffName << endl;
Pout << "index = " <<index << endl;
Pout << "partFlux = " << tmpPartFlux << endl;
Pout << "magUr = " << magUr << endl;
Pout << "As = " << As << endl;
Pout << "r = " << particleCloud_.radius(index) << endl;
Pout << "dscaled = " << dscaled << endl;
Pout << "nuf = " << nuf << endl;
Pout << "Rep = " << Rep << endl;
Pout << "Pr/Sc = " << Pr << endl;
Pout << "Nup/Shp = " << (this->*Nusselt)(Rep,Pr,voidfraction) << endl;
Pout << "partDatTransCoeff: " << partDatTransCoeff_[index][0] << endl;
Pout << "voidfraction = " << voidfraction << endl;
Pout << "partDat_[index][0] = " << partDat_[index][0] << endl ;
Pout << "fluidValue = " << fluidValue << endl ;
}
//Set value fields and write the probe
if(probeIt_)
{
#include "setupProbeModelfields.H"
vValues.append(Ur);
sValues.append((this->*Nusselt)(Rep,Pr,voidfraction));
sValues.append(Rep);
particleCloud_.probeM().writeProbe(index, sValues, vValues);
}
}
}
//Handle explicit and implicit source terms on the Euler side
//these are simple summations!
particleCloud_.averagingM().setScalarSum
(
explicitEulerSource,
partDatTmpExpl_,
particleCloud_.particleWeights(),
NULL
);
particleCloud_.averagingM().setScalarSum
(
implicitEulerSource,
partDatTmpImpl_,
particleCloud_.particleWeights(),
NULL
);
// scale with the cell volume to get (total) volume-specific source
explicitEulerSource.internalField() /= -explicitEulerSource.mesh().V();
implicitEulerSource.internalField() /= -implicitEulerSource.mesh().V();
// limit explicit source term
scalar explicitEulerSourceInCell;
forAll(explicitEulerSource,cellI)
{
explicitEulerSourceInCell = explicitEulerSource[cellI];
if(mag(explicitEulerSourceInCell) > maxSource_ )
{
explicitEulerSource[cellI] = sign(explicitEulerSourceInCell) * maxSource_;
}
}