double getvlog(const Matrix &W, const Matrix &T, const ColumnVector &bf,
double cterm, int df, double tol)
{
Matrix Vk, Vtr; ColumnVector gbeta; double lgbeta, ldetVtr, xbfVtri;
Vk=T.i()*W; gbeta=Vk.i()*bf; QRD Vtrqr(Vk.t(),tol); Vtr=Vtrqr.R();
lgbeta=log(fabs(gbeta(1))); //Rprintf("log(abs(gbeta[1])): %f\n", lgbeta);
ldetVtr=log(fabs(Vtr.Determinant())); //Rprintf("ldetVtr: %f\n",ldetVtr);
xbfVtri=(bf.t()*Vtr.i()*(bf.t()*Vtr.i()).t()).AsScalar(); //Rprintf("xbfVtri: %f\n",xbfVtri);
return cterm-ldetVtr+df*lgbeta-0.5*df*xbfVtri;
}
double SpinAdapted::dotproduct(const ColumnVector& a, const ColumnVector& b)
{
assert(a.Nrows() == b.Nrows());
#ifdef BLAS
return DDOT(a.Storage(), a.Store(), 1, b.Store(), 1);
#else
return a.t() * b;
#endif
}
bool SpectClust::MaxEigen(const Matrix &M, double &maxValue, ColumnVector &MaxVec, int maxIterations) {
double maxDelta = 1e-6;
bool converged = false;
int i = 0;
int nRows = M.Ncols();
if(M.Ncols() != M.Nrows())
Err::errAbort("MaxEigen() - Can't get eigen values of non square matrices.");
if(M.Ncols() <= 0)
Err::errAbort("MaxEigen() - Must have positive number of rows and columns.");
ColumnVector V(M.Ncols());
V = 1.0 / M.Nrows(); // any vector really...
V = V / Norm1(V);
MaxVec.ReSize(M.Ncols());
for(i = 0; i < maxIterations; ++i) {
// MaxVec = M * V;
multByMatrix(MaxVec, V, M);
double delta = 0;
double norm = sqrt(SumSquare(MaxVec));
for(int vIx = 0; vIx < nRows; vIx++) {
MaxVec.element(vIx) = MaxVec.element(vIx) / norm; // scale so we don't get too big.
}
for(int rowIx = 0; rowIx < nRows; rowIx++) {
delta += fabs((double)MaxVec.element(rowIx) - V.element(rowIx));
}
if(delta < maxDelta)
break; // we've already converged to eigen vector.
V = MaxVec;
}
if(i < maxIterations) {
converged = true;
}
// calculate approximate max eigen value using Rayleigh quotient (x'*M*x/x'*x).
Matrix num = (MaxVec.t() * M * MaxVec);
Matrix denom = (MaxVec.t() * MaxVec);
maxValue = num.element(0,0) / denom.element(0,0);
return converged;
}
void CFeasibilityMap::initilize_D_and_S(CData &Data) {
ColumnVector order_to_test = get_order_to_test(Data.n_tau, Data.n_var);
ColumnVector list_feasible_type2 = get_feasible_tau(Data);
for (int i_faulty = 1; i_faulty <= Data.n_faulty; i_faulty++) {
bool is_pass = false;
int i_original = Data.Faulty2Original[i_faulty-1];
ColumnVector x_tilde_i = (Data.D_Observed.row(i_original)).t();
for (int i_order = 1; i_order <= order_to_test.nrows() && !is_pass; i_order++) {
int i_tau = order_to_test(i_order);
ColumnVector s_i = tau_to_s_fn(i_tau,Data.n_var);
bool skip_for_type2 = false;
if (Data.is_case(i_original,2) && list_feasible_type2(i_tau) == 0) { skip_for_type2 = true;}
if (!skip_for_type2){
ColumnVector x_mean;
int is_feasible = feasible_test_fn(Data, x_tilde_i, s_i, i_original, true, Data.epsilon, x_mean);
if (is_feasible > 0) {
//copy solution to a temp vector
ColumnVector temp = x_tilde_i;
for (int index = 1, count =0; index <= Data.n_var; index++){
if (s_i(index) == 1) {
count++;
temp(index) = x_mean(count);
}
}
Data.Debug = Debug;
if (Data.PassEdits(temp)) { //then check if it satifies edits
is_pass = true;
Data.initial_S_Mat.row(i_faulty) = s_i.t();
Data.D_initial.row(i_original) = temp.t();
}
}//is_feasible
Debug = false;
}
}
}
}
bool SpectClust::findNLargestEvals(const Matrix &M, int numLamda, std::vector<Numeric> &eVals, Matrix &EVec, int maxIterations) {
bool converged = true;
EVec.ReSize(M.Ncols(), numLamda);
eVals.clear();
eVals.reserve(numLamda);
Matrix W = M;
for(int i = 1; i <= numLamda; i++) {
ColumnVector maxVec;
double maxVal;
/* Get the maximum eigen vector. */
converged = MaxEigen(W, maxVal, maxVec, maxIterations) && converged;
EVec.Column(i) << maxVec;
eVals.push_back(maxVal);
/* Now subtract of the largest eigen value to get the next
largest in next iteration. */
Matrix ToSub = maxVal * (maxVec * maxVec.t());
W = W - ToSub;
}
return converged;
}
//Delete a BV. Very messy
void SOGP::delete_bv(int loc){
//First swap loc to the last spot
RowVector alphastar = alpha.Row(loc);
alpha.Row(loc)=alpha.Row(alpha.Nrows());
//Now C
double cstar = C(loc,loc);
ColumnVector Cstar = C.Column(loc);
Cstar(loc)=Cstar(Cstar.Nrows());
Cstar=Cstar.Rows(1,Cstar.Nrows()-1);
ColumnVector Crep=C.Column(C.Ncols());
Crep(loc)=Crep(Crep.Nrows());
C.Row(loc)=Crep.t();;
C.Column(loc)=Crep;
//and Q
double qstar = Q(loc,loc);
ColumnVector Qstar = Q.Column(loc);
Qstar(loc)=Qstar(Qstar.Nrows());
Qstar=Qstar.Rows(1,Qstar.Nrows()-1);
ColumnVector Qrep=Q.Column(Q.Ncols());
Qrep(loc)=Qrep(Qrep.Nrows());
Q.Row(loc)=Qrep.t();
Q.Column(loc)=Qrep;
//Ok, now do the actual removal Appendix G section g
alpha= alpha.Rows(1,alpha.Nrows()-1);
ColumnVector qc = (Qstar+Cstar)/(qstar+cstar);
for(int i=1;i<=alpha.Ncols();i++)
alpha.Column(i)-=alphastar(i)*qc;
C = C.SymSubMatrix(1,C.Ncols()-1) + (Qstar*Qstar.t())/qstar - ((Qstar+Cstar)*(Qstar+Cstar).t())/(qstar+cstar);
Q = Q.SymSubMatrix(1,Q.Ncols()-1) - (Qstar*Qstar.t())/qstar;
//And the BV
BV.Column(loc)=BV.Column(BV.Ncols());
BV=BV.Columns(1,BV.Ncols()-1);
current_size--;
}
//Add this input and output to the GP
void SOGP::add(const ColumnVector& in,const ColumnVector& out){
double kstar =m_params.m_kernel->kstar(in);
if(current_size==0){//First point is easy
C.ReSize(1,1);
Q.ReSize(1,1);
//Equations 2.46 with q, r, and s collapsed
alpha=out.t()/(kstar+m_params.s20);
C(1,1)=-1/(kstar+m_params.s20);
Q(1,1)=1/kstar;
current_size=1;
BV = in;
}
else{ //We already have data
//perform the kernel
ColumnVector k=m_params.m_kernel->kernelM(in,BV);
RowVector m=k.t()*alpha;
double s2 = kstar+(k.t()*C*k).AsScalar();
if(s2<1e-12){//For numerical stability..from Csato's Matlab code?
//printf("SOGP::Small s2 %lf\n",s2);
s2=1e-12;
}
//Update scalars
//page 33 - Assumes Gaussian noise
double r = -1/(m_params.s20+s2);
//printf("out %d m %d r %f\n",out.Nrows(),m.Ncols(),r);
RowVector q = -r*(out.t()-m);
//projection onto current BV
ColumnVector ehat = Q*k;//Appendix G, section c
//residual length
double gamma = kstar-(k.t()*ehat).AsScalar();//Ibid
if(gamma<1e-12){//Numerical instability?
//printf("SOGP::Gamma (%lf) < 0\n",gamma);
gamma=0;
}
if(gamma<1e-6 && m_params.capacity!= -1){//Nearly singular, do a sparse update (e_tol)
//printf("SOGP::Sparse! %lf \n",gamma);
double eta = 1/(1+gamma*r);//Ibid
ColumnVector shat = C*k+ehat;//Appendix G section e
alpha=alpha+shat*(q*eta);//Appendix G section f
C=C+r*eta*shat*shat.t();//Ibid
}
else{//Full update
//printf("SOGP::Full!\n");
//Expansions are messy
RowVector expander(1);
//s is of length N+1
expander(1)=1;
ColumnVector s = C*k & expander;//Apendix G section e
//Add a row to alpha
expander.ReSize(alpha.Ncols());
for(int i=0;i<alpha.Ncols();i++)
expander(i+1)=0;
alpha = alpha & expander;
//Update alpha
alpha=alpha+s*q;//Equations 2.46
//Add Row to C
expander.ReSize(C.Ncols());
for(int i=0;i<C.Ncols();i++)
expander(i+1)=0;
C = C&expander;
//Add a Column to C
expander.ReSize(C.Nrows());
for(int i=0;i<C.Nrows();i++)
expander(i+1)=0;
C = C | expander.t();
//Update C
C = C + r*s*s.t();//Ibid
//Save the data, N++
BV = BV | in;
current_size++;
//Add row to Gram Matrix
expander.ReSize(Q.Ncols());
for(int i=0;i<Q.Ncols();i++)
expander(i+1)=0;
Q = Q&expander;
//Add column
expander.ReSize(Q.Nrows());
for(int i=0;i<Q.Nrows();i++)
expander(i+1)=0;
Q = Q | expander.t();
//Add one more to ehat
expander.ReSize(1);
expander(1)=-1;
ehat = ehat & expander;
//Update gram matrix
Q = Q + (1/gamma)*ehat*ehat.t();//Equation 3.5
}
//Delete BVs if necessay...maybe only 2 per iteration?
while(current_size > m_params.capacity && m_params.capacity>0){//We're too big!
double minscore=0,score;
int minloc=-1;
//Find the minimum score
for(int i=1;i<=current_size;i++){
score = alpha.Row(i).SumSquare()/(Q(i,i)+C(i,i));
if(i==1 || score<minscore){
minscore=score;
minloc=i;
}
}
//Delete it
delete_bv(minloc);
}
//Delete for geometric reasons - Loop?
double minscore=0,score;
int minloc=-1;
for(int i=1;i<=current_size;i++){
score = 1/Q(i,i);
if(i==1 || score<minscore){
minscore=score;
minloc=i;
}
}
if(minscore<1e-9){
delete_bv(minloc);
}
}
}
void trymat6()
{
Tracer et("Sixth test of Matrix package");
Tracer::PrintTrace();
int i,j;
DiagonalMatrix D(6);
UpperTriangularMatrix U(6);
for (i=1;i<=6;i++) { for (j=i;j<=6;j++) U(i,j)=i*i*i-50; D(i,i)=i*i+i-10; }
LowerTriangularMatrix L=(U*3.0).t();
SymmetricMatrix S(6);
for (i=1;i<=6;i++) for (j=i;j<=6;j++) S(i,j)=i*i+2.0+j;
Matrix MD=D; Matrix ML=L; Matrix MU=U; Matrix MS=S;
Matrix M(6,6);
for (i=1;i<=6;i++) for (j=1;j<=6;j++) M(i,j)=i*j+i*i-10.0;
{
Tracer et1("Stage 1");
Print(Matrix(MS+(-MS)));
Print(Matrix((S+M)-(MS+M)));
Print(Matrix((M+U)-(M+MU)));
Print(Matrix((M+L)-(M+ML)));
}
{
Tracer et1("Stage 2");
Print(Matrix((M+D)-(M+MD)));
Print(Matrix((U+D)-(MU+MD)));
Print(Matrix((D+L)-(ML+MD)));
Print(Matrix((-U+D)+MU-MD));
Print(Matrix((-L+D)+ML-MD));
}
{
Tracer et1("Stage 3 - concatenate");
RowVector A(5);
A << 1 << 2 << 3 << 4 << 5;
RowVector B(5);
B << 3 << 1 << 4 << 1 << 5;
Matrix C(3,5);
C << 2 << 3 << 5 << 7 << 11
<< 13 << 17 << 19 << 23 << 29
<< 31 << 37 << 41 << 43 << 47;
Matrix X1 = A & B & C;
Matrix X2 = (A.t() | B.t() | C.t()).t();
Matrix X3(5,5);
X3.Row(1)=A; X3.Row(2)=B; X3.Rows(3,5)=C;
Print(Matrix(X1-X2));
Print(Matrix(X1-X3));
LowerTriangularMatrix LT1; LT1 << (A & B & C);
UpperTriangularMatrix UT1; UT1 << (A.t() | B.t() | C.t());
Print(LowerTriangularMatrix(LT1-UT1.t()));
DiagonalMatrix D1; D1 << (A.t() | B.t() | C.t());
ColumnVector At = A.t();
ColumnVector Bt = B.t();
Matrix Ct = C.t();
LowerTriangularMatrix LT2; LT2 << (At | Bt | Ct);
UpperTriangularMatrix UT2; UT2 << (At.t() & Bt.t() & Ct.t());
Matrix ABt = At | Bt;
DiagonalMatrix D2; D2 << (ABt | Ct);
Print(LowerTriangularMatrix(LT2-UT2.t()));
Print(DiagonalMatrix(D1-D2));
Print(Matrix(LT1+UT2-D2-X1));
Matrix M1 = LT1 | UT2; Matrix M2 = UT1 & LT2;
Print(Matrix(M1-M2.t()));
M1 = UT2 | LT1; M2 = LT2 & UT1;
Print(Matrix(M1-M2.t()));
M1 = (LT1 | UT2) & (UT2 | LT1);
M2 = (UT1 & LT2) | (LT2 & UT1);
Print(Matrix(M1-M2.t()));
SymmetricMatrix SM1; SM1 << (M1 + M1.t());
SymmetricMatrix SM2; SM2 << ((SM1 | M1) & (M1.t() | SM1));
Matrix M3(20,20);
M3.SubMatrix(1,10,1,10) = SM1;
M3.SubMatrix(1,10,11,20) = M1;
M3.SubMatrix(11,20,1,10) = M2;
M3.SubMatrix(11,20,11,20) = SM1;
Print(Matrix(M3-SM2));
SymmetricMatrix SM(15); SM = 0; SM.SymSubMatrix(1,10) = SM1;
M3.ReSize(15,15); M3 = 0; M3.SubMatrix(1,10,1,10) = SM1;
M3 -= SM; Print(M3);
SM = 0; SM.SymSubMatrix(6,15) = SM1;
M3.ReSize(15,15); M3 = 0; M3.SubMatrix(6,15,6,15) = SM1;
M3 = M3.t() - SM; Print(M3);
}
{
Tracer et1("Stage 4 - sort");
TestSort(1); TestSort(2); TestSort(3); TestSort(4);
TestSort(15); TestSort(16); TestSort(17); TestSort(18);
TestSort(99); TestSort(100); TestSort(101);
}
// cout << "\nEnd of sixth test\n";
}
void trymat2()
{
// cout << "\nSecond test of Matrix package\n\n";
Tracer et("Second test of Matrix package");
Tracer::PrintTrace();
int i,j;
Matrix M(3,5);
for (i=1; i<=3; i++) for (j=1; j<=5; j++) M(i,j) = 100*i + j;
Matrix X(8,10);
for (i=1; i<=8; i++) for (j=1; j<=10; j++) X(i,j) = 1000*i + 10*j;
Matrix Y = X; Matrix Z = X;
{ X.SubMatrix(2,4,3,7) << M; }
for (i=1; i<=3; i++) for (j=1; j<=5; j++) Y(i+1,j+2) = 100*i + j;
Print(Matrix(X-Y));
Real a[15]; Real* r = a;
for (i=1; i<=3; i++) for (j=1; j<=5; j++) *r++ = 100*i + j;
{ Z.SubMatrix(2,4,3,7) << a; }
Print(Matrix(Z-Y));
{ M=33; X.SubMatrix(2,4,3,7) << M; }
{ Z.SubMatrix(2,4,3,7) = 33; }
Print(Matrix(Z-X));
for (i=1; i<=8; i++) for (j=1; j<=10; j++) X(i,j) = 1000*i + 10*j;
Y = X;
UpperTriangularMatrix U(5);
for (i=1; i<=5; i++) for (j=i; j<=5; j++) U(i,j) = 100*i + j;
{ X.SubMatrix(3,7,5,9) << U; }
for (i=1; i<=5; i++) for (j=i; j<=5; j++) Y(i+2,j+4) = 100*i + j;
for (i=1; i<=5; i++) for (j=1; j<i; j++) Y(i+2,j+4) = 0.0;
Print(Matrix(X-Y));
for (i=1; i<=8; i++) for (j=1; j<=10; j++) X(i,j) = 1000*i + 10*j;
Y = X;
for (i=1; i<=5; i++) for (j=i; j<=5; j++) U(i,j) = 100*i + j;
{ X.SubMatrix(3,7,5,9).Inject(U); }
for (i=1; i<=5; i++) for (j=i; j<=5; j++) Y(i+2,j+4) = 100*i + j;
Print(Matrix(X-Y));
// test growing and shrinking a vector
{
ColumnVector V(100);
for (i=1;i<=100;i++) V(i) = i*i+i;
V = V.Rows(1,50); // to get first 50 vlaues.
{
V.Release(); ColumnVector VX=V;
V.ReSize(100); V = 0.0; V.Rows(1,50)=VX;
} // V now length 100
M=V; M=100; // to make sure V will hold its values
for (i=1;i<=50;i++) V(i) -= i*i+i;
Print(V);
// test redimensioning vectors with two dimensions given
ColumnVector CV1(10); CV1 = 10;
ColumnVector CV2(5); CV2.ReSize(10,1); CV2 = 10;
V = CV1-CV2; Print(V);
RowVector RV1(20); RV1 = 100;
RowVector RV2; RV2.ReSize(1,20); RV2 = 100;
V = (RV1-RV2).t(); Print(V);
X.ReSize(4,7);
for (i=1; i<=4; i++) for (j=1; j<=7; j++) X(i,j) = 1000*i + 10*j;
Y = 10.5 * X;
Z = 7.25 - Y;
M = Z + X * 10.5 - 7.25;
Print(M);
Y = 2.5 * X;
Z = 9.25 + Y;
M = Z - X * 2.5 - 9.25;
Print(M);
U.ReSize(8);
for (i=1; i<=8; i++) for (j=i; j<=8; j++) U(i,j) = 100*i + j;
Y = 100 - U;
M = Y + U - 100;
Print(M);
}
{
SymmetricMatrix S,T;
S << (U + U.t());
T = 100 - S; M = T + S - 100; Print(M);
T = 100 - 2 * S; M = T + S * 2 - 100; Print(M);
X = 100 - 2 * S; M = X + S * 2 - 100; Print(M);
T = S; T = 100 - T; M = T + S - 100; Print(M);
}
// test new
{
ColumnVector CV1; RowVector RV1;
Matrix* MX; MX = new Matrix; if (!MX) Throw(Bad_alloc("New fails "));
MX->ReSize(10,20);
for (i = 1; i <= 10; i++) for (j = 1; j <= 20; j++)
(*MX)(i,j) = 100 * i + j;
ColumnVector* CV = new ColumnVector(10);
if (!CV) Throw(Bad_alloc("New fails "));
*CV << 1 << 2 << 3 << 4 << 5 << 6 << 7 << 8 << 9 << 10;
RowVector* RV = new RowVector(CV->t() | (*CV + 10).t());
if (!RV) Throw(Bad_alloc("New fails "));
CV1 = ColumnVector(10); CV1 = 1; RV1 = RowVector(20); RV1 = 1;
*MX -= 100 * *CV * RV1 + CV1 * *RV;
Print(*MX);
delete MX; delete CV; delete RV;
}
// test copying of vectors and matrices with no elements
{
ColumnVector dims(16);
Matrix M1; Matrix M2 = M1; Print(M2);
dims(1) = M2.Nrows(); dims(2) = M2.Ncols();
dims(3) = (Real)(unsigned long)M2.Store(); dims(4) = M2.Storage();
M2 = M1;
dims(5) = M2.Nrows(); dims(6) = M2.Ncols();
dims(7) = (Real)(unsigned long)M2.Store(); dims(8) = M2.Storage();
M2.ReSize(10,20); M2.CleanUp();
dims(9) = M2.Nrows(); dims(10) = M2.Ncols();
dims(11) = (Real)(unsigned long)M2.Store(); dims(12) = M2.Storage();
M2.ReSize(20,10); M2.ReSize(0,0);
dims(13) = M2.Nrows(); dims(14) = M2.Ncols();
dims(15) = (Real)(unsigned long)M2.Store(); dims(16) = M2.Storage();
Print(dims);
}
{
ColumnVector dims(16);
ColumnVector M1; ColumnVector M2 = M1; Print(M2);
dims(1) = M2.Nrows(); dims(2) = M2.Ncols()-1;
dims(3) = (Real)(unsigned long)M2.Store(); dims(4) = M2.Storage();
M2 = M1;
dims(5) = M2.Nrows(); dims(6) = M2.Ncols()-1;
dims(7) = (Real)(unsigned long)M2.Store(); dims(8) = M2.Storage();
M2.ReSize(10); M2.CleanUp();
dims(9) = M2.Nrows(); dims(10) = M2.Ncols()-1;
dims(11) = (Real)(unsigned long)M2.Store(); dims(12) = M2.Storage();
M2.ReSize(10); M2.ReSize(0);
dims(13) = M2.Nrows(); dims(14) = M2.Ncols()-1;
dims(15) = (Real)(unsigned long)M2.Store(); dims(16) = M2.Storage();
Print(dims);
}
{
ColumnVector dims(16);
RowVector M1; RowVector M2 = M1; Print(M2);
dims(1) = M2.Nrows()-1; dims(2) = M2.Ncols();
dims(3) = (Real)(unsigned long)M2.Store(); dims(4) = M2.Storage();
M2 = M1;
dims(5) = M2.Nrows()-1; dims(6) = M2.Ncols();
dims(7) = (Real)(unsigned long)M2.Store(); dims(8) = M2.Storage();
M2.ReSize(10); M2.CleanUp();
dims(9) = M2.Nrows()-1; dims(10) = M2.Ncols();
dims(11) = (Real)(unsigned long)M2.Store(); dims(12) = M2.Storage();
M2.ReSize(10); M2.ReSize(0);
dims(13) = M2.Nrows()-1; dims(14) = M2.Ncols();
dims(15) = (Real)(unsigned long)M2.Store(); dims(16) = M2.Storage();
Print(dims);
}
// test identity matrix
{
Matrix M;
IdentityMatrix I(10); DiagonalMatrix D(10); D = 1;
M = I; M -= D; Print(M);
D -= I; Print(D);
ColumnVector X(8);
D = 1;
X(1) = Sum(D) - Sum(I);
X(2) = SumAbsoluteValue(D) - SumAbsoluteValue(I);
X(3) = SumSquare(D) - SumSquare(I);
X(4) = Trace(D) - Trace(I);
X(5) = Maximum(D) - Maximum(I);
X(6) = Minimum(D) - Minimum(I);
X(7) = LogDeterminant(D).LogValue() - LogDeterminant(I).LogValue();
X(8) = LogDeterminant(D).Sign() - LogDeterminant(I).Sign();
Clean(X,0.00000001); Print(X);
for (i = 1; i <= 10; i++) for (j = 1; j <= 10; j++)
M(i,j) = 100 * i + j;
Matrix N;
N = M * I - M; Print(N);
N = I * M - M; Print(N);
N = M * I.i() - M; Print(N);
N = I.i() * M - M; Print(N);
N = I.i(); N -= I; Print(N);
N = I.t(); N -= I; Print(N);
N = I.t(); N += (-I); Print(N); // <----------------
D = I; N = D; D = 1; N -= D; Print(N);
N = I; D = 1; N -= D; Print(N);
N = M + 2 * IdentityMatrix(10); N -= (M + 2 * D); Print(N);
I *= 4;
D = 4;
X.ReSize(14);
X(1) = Sum(D) - Sum(I);
X(2) = SumAbsoluteValue(D) - SumAbsoluteValue(I);
X(3) = SumSquare(D) - SumSquare(I);
X(4) = Trace(D) - Trace(I);
X(5) = Maximum(D) - Maximum(I);
X(6) = Minimum(D) - Minimum(I);
X(7) = LogDeterminant(D).LogValue() - LogDeterminant(I).LogValue(); // <--
X(8) = LogDeterminant(D).Sign() - LogDeterminant(I).Sign();
int i,j;
X(9) = I.Maximum1(i) - 4; X(10) = i-1;
X(11) = I.Maximum2(i,j) - 4; X(12) = i-10; X(13) = j-10;
X(14) = I.Nrows() - 10;
Clean(X,0.00000001); Print(X);
N = D.i();
N += I / (-16);
Print(N);
N = M * I - 4 * M; Print(N);
N = I * M - 4 * M; Print(N);
N = M * I.i() - 0.25 * M; Print(N);
N = I.i() * M - 0.25 * M; Print(N);
N = I.i(); N -= I * 0.0625; Print(N);
N = I.i(); N = N - 0.0625 * I; Print(N);
N = I.t(); N -= I; Print(N);
D = I * 2; N = D; D = 1; N -= 8 * D; Print(N);
N = I * 2; N -= 8 * D; Print(N);
N = 0.5 * I + M; N -= M; N -= 2.0 * D; Print(N);
IdentityMatrix J(10); J = 8;
D = 4;
DiagonalMatrix E(10); E = 8;
N = (I + J) - (D + E); Print(N);
N = (5*I + 3*J) - (5*D + 3*E); Print(N);
N = (-I + J) - (-D + E); Print(N);
N = (I - J) - (D - E); Print(N);
N = (I | J) - (D | E); Print(N);
N = (I & J) - (D & E); Print(N);
N = SP(I,J) - SP(D,E); Print(N);
N = D.SubMatrix(2,5,3,8) - I.SubMatrix(2,5,3,8); Print(N);
N = M; N.Inject(I); D << M; N -= (M + I); N += D; Print(N);
D = 4;
IdentityMatrix K = I.i()*7 - J.t()/4;
N = D.i() * 7 - E / 4 - K; Print(N);
K = I * J; N = K - D * E; Print(N);
N = I * J; N -= D * E; Print(N);
K = 5*I - 3*J;
N = K - (5*D - 3*E); Print(N);
K = I.i(); N = K - 0.0625 * I; Print(N);
K = I.t(); N = K - I; Print(N);
K.ReSize(20); D.ReSize(20); D = 1;
D -= K; Print(D);
I.ReSize(3); J.ReSize(3); K = I * J; N = K - I; Print(N);
K << D; N = K - D; Print(N);
}
// test add integer
{
Matrix X(2,3);
X << 5.25 << 7.75 << 1.25
<< 9.00 << 1.00 << 2.50;
Matrix Y = X;
X = 10 + X;
X += (-10);
X -= Y;
Print(X);
// also test f suffix
X << 5.25f << 7.75f << 1.25f
<< 9.00f << 1.00f << 2.50f;
X -= Y; Print(X);
}
// cout << "\nEnd of second test\n";
}