bool ACovarianceFunction::check_covariance_Kgrad_theta(ACovarianceFunction& covar,mfloat_t relchange,mfloat_t threshold)
{
mfloat_t RV=0;
//copy of parameter vector
CovarParams L = covar.getParams();
//create copy
CovarParams L0 = L;
//dimensions
for(mint_t i=0;i<L.rows();i++)
{
mfloat_t change = relchange*L(i);
change = std::max(change,1E-5);
L(i) = L0(i) + change;
covar.setParams(L);
MatrixXd Lplus = covar.K();
L(i) = L0(i) - change;
covar.setParams(L);
MatrixXd Lminus = covar.K();
//numerical gradient
MatrixXd diff_numerical = (Lplus-Lminus)/(2.*change);
//analytical gradient
covar.setParams(L0);
MatrixXd diff_analytical = covar.Kgrad_param(i);
RV += (diff_numerical-diff_analytical).squaredNorm();
}
return (RV < threshold);
}
void Mesh :: buildLaplacian( void )
// builds the cotan-Laplace operator, where the final row and
// column are omitted to make the system strictly positive-
// definite (equivalent to setting the final degree of freedom
// to zero)
{
// allocate a sparse |V|x|V| matrix
int nV = vertices.size();
QuaternionMatrix L0;
L0.resize( nV-1, nV-1 );
// visit each face
for( size_t i = 0; i < faces.size(); i++ )
{
// visit each triangle corner
for( int j = 0; j < 3; j++ )
{
// get vertex indices
int k0 = faces[i].vertex[ (j+0) % 3 ];
int k1 = faces[i].vertex[ (j+1) % 3 ];
int k2 = faces[i].vertex[ (j+2) % 3 ];
// get vertex positions
Vector f0 = vertices[k0].im();
Vector f1 = vertices[k1].im();
Vector f2 = vertices[k2].im();
// compute cotangent of the angle at the current vertex
// (equal to cosine over sine, which equals the dot
// product over the norm of the cross product)
Vector u1 = f1 - f0;
Vector u2 = f2 - f0;
double cotAlpha = (u1*u2)/(u1^u2).norm();
// add contribution of this cotangent to the matrix
if( k1 != nV-1 && k2 != nV-1 ) L0( k1, k2 ) -= cotAlpha / 2.;
if( k2 != nV-1 && k1 != nV-1 ) L0( k2, k1 ) -= cotAlpha / 2.;
if( k1 != nV-1 && k1 != nV-1 ) L0( k1, k1 ) += cotAlpha / 2.;
if( k2 != nV-1 && k2 != nV-1 ) L0( k2, k2 ) += cotAlpha / 2.;
}
}
// build Cholesky factorization
L.build( L0.toReal() );
}
void ACovarianceFunction::aKhess_param_num(ACovarianceFunction& covar, MatrixXd* out, const muint_t i, const muint_t j)
{
mfloat_t relchange=1E-5;
//copy of parameter vector
CovarParams L = covar.getParams();
//create copy
CovarParams L0 = L;
//dimensions
mfloat_t change = relchange*L(j);
change = std::max(change,1E-5);
L(j) = L0(j) + change;
covar.setParams(L);
covar.aKgrad_param(out,i);
L(j) = L0(j) - change;
covar.setParams(L);
(*out)-=covar.Kgrad_param(i);
(*out)/=(2.*change);
covar.setParams(L0);
}
void LU_Inverse(
const GenBandMatrix<T1>& LUx, const ptrdiff_t* p, MatrixView<T> minv)
{
TMVAssert(LUx.isSquare());
TMVAssert(minv.isSquare());
TMVAssert(minv.colsize() == LUx.colsize());
#ifdef XDEBUG
LowerTriMatrix<T,UnitDiag> L0(LUx.colsize());
LU_PackedPL_Unpack(LUx,p,L0.view());
UpperTriMatrix<T> U0 = BandMatrixViewOf(LUx,0,LUx.nhi());
Matrix<T> PLU = L0 * U0;
if (LUx.nlo() > 0) PLU.reversePermuteRows(p);
Matrix<T> minv2 = PLU.inverse();
#endif
if (minv.colsize() > 0) {
if ( !(minv.iscm() || minv.isrm())) {
Matrix<T,ColMajor> temp(minv.colsize(),minv.colsize());
LU_Inverse(LUx,p,temp.view());
minv = temp;
} else {
minv.setZero();
UpperTriMatrixView<T> U = minv.upperTri();
U = BandMatrixViewOf(LUx,0,LUx.nhi());
TriInverse(U,LUx.nhi());
LU_PackedPL_RDivEq(LUx,p,minv);
}
}
#ifdef XDEBUG
TMV_RealType(T) normdiff = Norm(PLU*minv - T(1));
TMV_RealType(T) kappa = Norm(PLU)*Norm(minv);
if (normdiff > 0.001*kappa*minv.colsize()) {
cerr<<"LUInverse:\n";
cerr<<"LUx = "<<LUx<<endl;
cerr<<"p = ";
for(ptrdiff_t i=0;i<LUx.colsize();i++) cerr<<p[i]<<" ";
cerr<<endl;
cerr<<"PLU = "<<PLU<<endl;
cerr<<"minv = "<<minv<<endl;
cerr<<"minv2 = "<<minv2<<endl;
cerr<<"m*minv = "<<PLU*minv<<endl;
cerr<<"minv*m = "<<minv*PLU<<endl;
cerr<<"Norm(m*minv - 1) = "<<normdiff<<endl;
cerr<<"kappa = "<<kappa<<endl;
abort();
}
#endif
}
//Generate GramCodes for grammems with CompareFunc
string CAgramtab::GetGramCodes(BYTE pos, QWORD grammems, GrammemCompare CompareFunc)const
{
string Result;
CAgramtabLine L0(0);
L0.m_PartOfSpeech = pos;
L0.m_Grammems = grammems;
for (WORD i=0; i<GetMaxGrmCount(); i++)
if (GetLine(i) != 0)
{
const CAgramtabLine* L = GetLine(i);
if ( (L->m_PartOfSpeech == pos)
&& ( CompareFunc ? CompareFunc (L, &L0) : (L->m_Grammems & grammems) == L->m_Grammems && !(pos==NOUN && (L->m_Grammems&rAllGenders)==rAllGenders) ) // ((grammems & (L->m_Grammems & mask)) == grammems)
)
Result += i2s(i);
};
return Result;
};
// Evaluate the nth order Legendre polynomial and its derivative
void legendre(const dvec& a, const dvec& b, const dvec& x, dvec& L, dvec& Lp) {
int n = x.size();
dvec L0(n,1.0);
dvec L1(n,0.0);
// Iterate over grid points
for(int j=0;j<n;++j) {
L1[j] = x[j];
// Iterate over polynomials
for(int k=1;k<n;++k) {
L[j] = a[k]*x[j]*L1[j]-b[k]*L0[j];
L0[j] = L1[j];
L1[j] = L[j];
}
Lp[j] = n*(L0[j]-x[j]*L[j])/(1.0-x[j]*x[j]);
}
}
void test_circuit_parallel()
{
//circuit 1
ngac AC("ac1", 0, 5, 1);
ngresistor R("r1", 370);
ngled LED("LED1", 7e-3);
ngground GND;
ngline L0(AC.p1, GND.p1);
ngline L1(AC.p2, R.p1);
ngline L2(R.p2, LED.p1);
ngline L3(LED.p2, AC.p1);
schema SCH;
SCH.AddDevices(&AC, &R, &LED, &GND, 0);
SCH.AddLines(&L0, &L1, &L2, &L3, 0);
circuit CIR(&SCH);
CIR.Tran("20", "1m");
//circuit 2
ngac ac("ac1", 0, 5, 1);
ngresistor r("r1", 370);
ngled led("led1", 5e-3);
ngground gnd;
ngline l0(ac.p1, gnd.p1);
ngline l1(ac.p2, r.p1);
ngline l2(r.p2, led.p1);
ngline l3(led.p2, ac.p1);
schema sch;
sch.AddDevices(&ac, &r, &led, &gnd, 0);
sch.AddLines(&l0, &l1, &l2, &l3, 0);
circuit cir(&sch);
cir.Tran("20", "1m");
do
{
Sleep(200);
} while (CIR.IsRunning() || cir.IsRunning());
}
void Solver::DiagramL0(){
double time0, time1;
time0 = omp_get_wtime();
#pragma omp parallel
{
int id = omp_get_thread_num();
int threads = omp_get_num_threads();
for (int i=id; i<Npphh; i+=threads) blockspphh[i]->SetUpMatrices_L0();
}
time1 = omp_get_wtime(); //cout << "Inside L0. SetUpMatrices needs: " << time1-time0 << " seconds" << endl;
time0 = omp_get_wtime();
//Align elements to t.
for (int n=0; n<Npphh; n++){
mat L0 = blockspphh[n]->V / blockspphh[n]->epsilon;
for (double I=0; I < blockspphh[n]->Holes.n_rows ; I++){
for (double A=0; A < blockspphh[n]->Particles.n_rows; A++){
int i = blockspphh[n]->Holes(I,0); int j = blockspphh[n]->Holes(I,1);
int a = blockspphh[n]->Particles(A,0); int b = blockspphh[n]->Particles(A,1);
t( Index(a,b,i,j) ) += L0(A,I);
//StoreT( Index(a,b,i,j), L0(A,I));
}
}
}
time1 = omp_get_wtime(); //cout << "Inside L0. Calculate matrices needs: " << time1-time0 << " seconds" << endl;
}
void L_layerInv(uint8_t *data){
L0(data);
L1Inv(data);
L2Inv(data);
L3(data);
}
void L_layer(uint8_t *data){
L0(data);
L1(data);
L2(data);
L3(data);
}
void gen_makefile( void ) {
int tlink = ( _output == 'p' || _output == 'l' );
frsp = fopen( "MAKEFILE.", "wt" );
if ( frsp == NULL )
error( ERR_RUNTIME, "MAKEFILE." );
L1( "#" );
L1( "# this MAKEFILE. generate MK386.EXE program" );
L1( "#" );
L1( ".AUTODEPEND" );
L1( ".SWAP" );
L1( "# LINK = # define LINK for COMPILE, ASSEMBLE & LINK" );
L1( "# ASSEMBLE = # define ASSEMBLE for COMPILE & ASSEMBLE" );
L1( "# COMPILE = # define COMPILER for ONLY COMPILE" );
L1( "!ifndef LINK" );
L1( "!ifndef ASSEMBLE" );
L1( "!ifndef COMPILE" );
L1( "LINK =" );
L1( "!endif" );
L1( "!endif" );
L1( "!endif" );
L1( "# DEBUG = # define DEBUG for debug info and debug startup module" );
L1( "# MAP = # define MAP for generate .MAP file" );
L1( "# NODEFLIB = # define NODEFLIB for NO link default .OBJ & .LIB" );
L1( "# KEEP_SRC = # define KEEP_SRC for save generate .ASM & .OBJ files" );
L1( "# KEEP_LST = # define KEEP_LST for save generate .LST files" );
L1( "" );
L1( " ### name of .EXE file" );
L0( "NAME = " ); L1( name() );
L1( " ### define tools" );
L1( "CC = CC386.EXE" );
L1( "AS = TASM.EXE" );
L1( " ### define options for CC" );
L0( "CC_INC = " );
if ( l_inc.count > 0 ) {
L0( "/I" ); ListIter( &l_inc, compile_inc );
}
L1( "" );
L0( "CC_DEF = " );
ListIter( &l_def, compile_def );
L1( "" );
L0( "CC_OPT = " );
fprintf( frsp, "%ci %ce %cA",
( _dump_cpp ? '+' : '-' ), ( _dump_err ? '+' : '-' ), ( !_ansi ? '+' : '-' ) );
ListIter( &l_cc386, compile_opt );
L1( "" );
L1( "!ifdef KEEP_LST" );
L1( "CC_OPT = $(CC_OPT) +l" );
L1( "!endif" );
L1( "" );
L1( "CC = $(CC) $(CC_OPT) $(CC_DEF) $(CC_INC)" );
L1( " ### define options for AS" );
L0( "AS_INC = " );
ListIter( &l_inc, assemble_inc );
L1( "" );
L0( "AS_DEF = " );
ListIter( &l_def, assemble_def );
L1( "" );
L1( "!ifdef DEBUG");
L1( "AS_OPT = /t /m3 /ml /zi" );
L1( "!else" );
L1( "AS_OPT = /t /m3 /ml /zn" );
L1( "!endif");
L1( "!ifdef KEEP_LST" );
L1( "AS_OPT = $(AS_OPT) /la" );
L1( "!endif" );
L1( "" );
L1( "AS = $(AS) $(AS_OPT) $(AS_DEF) $(AS_INC)" );
L1( " ### .LIB & output .OBJ path" );
L0( "PATH_LIB = " ); L1( path_lib );
L0( "PATH_OBJ = " );
if ( strlen( path_obj ) > 0 )
L1( path_obj );
else
L1( "." );
L1( " ### default .OBJ & .LIB" );
L1( "!ifdef NODEFLIB");
L1( "DEFAULT_OBJS =" );
L1( "DEFAULT_LIBS =" );
L1( "WLINK_OBJS =" );
L1( "WLINK_LIBS =" );
L1( "!else" );
L1( "DEFAULT_LIBS = $(PATH_LIB)\\CLDOS.LIB" );
L1( "WLINK_LIBS = library $(DEFAULT_LIBS)" );
L1( "!ifdef DEBUG" );
if ( _output == 'l' )
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOSLD.OBJ " );
else if ( _output == 'p' )
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOSD.OBJ " );
else
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOSWD.OBJ " );
L1( "!else" );
if ( _output == 'l' )
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOSL.OBJ " );
else if ( _output == 'p' )
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOS.OBJ " );
else
L1( "DEFAULT_OBJS = $(PATH_LIB)\\C0DOSW.OBJ " );
L1( "!endif" );
L1( "WLINK_OBJS = file $(DEFAULT_OBJS)" );
L1( "!endif" );
L1( " ### define macro for KEEP_SRC" );
L1( "!ifdef KEEP_SRC");
L1( "DEL_SRC = @rem" );
L1( "!else" );
L1( "DEL_SRC = -del" );
L1( "!endif");
L1( " ### define macro for KEEP_LST" );
L1( "!ifdef KEEP_LST");
L1( "DEL_LST = @rem" );
L1( "!else" );
L1( "DEL_LST = -del" );
L1( "!endif");
L1( " ### define macro for MAP" );
L1( "!ifdef MAP");
L1( "TLINK_OPT = /3/d/c/m/l/s" );
L1( "WLINK_OPT = option map" );
L1( "!else" );
L1( "TLINK_OPT = /3/d/c/x" );
L1( "WLINK_OPT = " );
L1( "!endif");
L1( " ### define macro for DEBUG" );
L1( "!ifdef DEBUG");
L1( "TLINK_DBG = /v" );
L1( "WLINK_DBG = debug option symf" );
L1( "!else" );
L1( "TLINK_DBG = " );
L1( "WLINK_DBG = option quiet" );
L1( "!endif");
L1( " ### .ASM files" );
fprintf( frsp, "ASMS = \\\n" );
ListIter( &files, get_asm );
L1( " ### .OBJ files" );
fprintf( frsp, "OBJS = $(DEFAULT_OBJS) \\\n" );
ListIter( &files, get_obj );
L1( " ### .LIB files" );
fprintf( frsp, "LIBS = $(DEFAULT_LIBS) \\\n" );
ListIter( &files, get_lib );
L1( " ### main make depend" );
L1( "!ifdef LINK" );
L1( "$(NAME).EXE : $(OBJS) $(LIBS) makefile." );
if ( tlink )
{
L1( " TLINK.EXE @&&|" );
L1( "$(TLINK_OPT) $(TLINK_DBG) $(OBJS), $(NAME), $(NAME), $(LIBS)" );
}
else
{
L1( " WLINK.EXE @&&|" );
L1( "$(WLINK_OPT) $(WLINK_DBG)" );
L1( "format os2 le" );
L1( "option nod" );
if ( _output == 'w' ) {
L1( "option osname='CC386+PMODE/W'" );
L1( "option stub=$(PATH_LIB)\\PMODEW.EXE" );
}
else {
L1( "option osname='CC386+DOS/4GW'" );
L1( "option stub=$(PATH_LIB)\\D4GWSTUB.EXE" );
}
L1( "name $(NAME)" );
L1( "$(WLINK_OBJS)" );
ListIter( &files, wout_obj );
L1( "$(WLINK_LIBS)" );
ListIter( &files, wout_lib );
}
L1( "|" );
ListIter( &files, delete_obj );
L1( "!else" );
L1( "!ifdef ASSEMBLE");
L1( "assemble : $(OBJS) " );
L1( "!else" );
L1( "!ifdef COMPILE");
L1( "compile : $(ASMS) " );
L1( "!endif" );
L1( "!endif" );
L1( "!endif" );
L1( " ### files depend" );
ListIter( &files, get_dep );
fclose( frsp );
}