From 6b7f0670e62a402a548744702fe42ed700b0d7b9 Mon Sep 17 00:00:00 2001 From: mhjensen Date: Wed, 4 Oct 2017 13:47:32 +0200 Subject: [PATCH] Update on codes --- doc/Programs/IsingModel/IsingModel.cpp | 20 +- doc/Programs/Sampling/gaussian.dat | 500000 +++++++++++++++ doc/Programs/Sampling/gaussian.dat.gz | Bin 4852489 -> 0 bytes .../VMC2Electrons/vectormatrixclass.cpp | 726 - .../VMC2Electrons/vectormatrixclass.h | 187 - .../{MPIvmcqdot.cpp => vmcqdot.cpp} | 120 +- 6 files changed, 500055 insertions(+), 998 deletions(-) create mode 100644 doc/Programs/Sampling/gaussian.dat delete mode 100644 doc/Programs/Sampling/gaussian.dat.gz delete mode 100755 doc/Programs/VMC2Electrons/vectormatrixclass.cpp delete mode 100755 doc/Programs/VMC2Electrons/vectormatrixclass.h rename doc/Programs/VMC2Electrons/{MPIvmcqdot.cpp => vmcqdot.cpp} (74%) diff --git a/doc/Programs/IsingModel/IsingModel.cpp b/doc/Programs/IsingModel/IsingModel.cpp index 1dd758e45..04cd65cf6 100755 --- a/doc/Programs/IsingModel/IsingModel.cpp +++ b/doc/Programs/IsingModel/IsingModel.cpp @@ -64,7 +64,7 @@ int main(int argc, char* argv[]) ofile.open(fileout); // Start Monte Carlo sampling by looping over the selcted Temperatures for (double Temperature = InitialTemp; Temperature <= FinalTemp; Temperature+=TempStep){ - vec ExpectationValues = zeros(5); + vec ExpectationValues = zeros(2); // Start Monte Carlo computation and get expectation values MetropolisSampling(NSpins, MCcycles, Temperature, ExpectationValues); // @@ -113,10 +113,8 @@ void MetropolisSampling(int NSpins, int MCcycles, double Temperature, vec &Expec } } // update expectation values for local node - ExpectationValues(0) += Energy; ExpectationValues(1) += Energy*Energy; - ExpectationValues(2) += MagneticMoment; - ExpectationValues(3) += MagneticMoment*MagneticMoment; - ExpectationValues(4) += fabs(MagneticMoment); + ExpectationValues(0) += Energy; + ExpectationValues(1) += MagneticMoment; } } // end of Metropolis sampling over spins @@ -146,20 +144,12 @@ void WriteResultstoFile(int NSpins, int MCcycles, double temperature, vec Expect { double norm = 1.0/((double) (MCcycles)); // divided by number of cycles double E_ExpectationValues = ExpectationValues(0)*norm; - double E2_ExpectationValues = ExpectationValues(1)*norm; - double M_ExpectationValues = ExpectationValues(2)*norm; - double M2_ExpectationValues = ExpectationValues(3)*norm; - double Mabs_ExpectationValues = ExpectationValues(4)*norm; + double M_ExpectationValues = ExpectationValues(1)*norm; // all expectation values are per spin, divide by 1/NSpins/NSpins - double Evariance = (E2_ExpectationValues- E_ExpectationValues*E_ExpectationValues)/NSpins/NSpins; - double Mvariance = (M2_ExpectationValues - Mabs_ExpectationValues*Mabs_ExpectationValues)/NSpins/NSpins; ofile << setiosflags(ios::showpoint | ios::uppercase); ofile << setw(15) << setprecision(8) << temperature; ofile << setw(15) << setprecision(8) << E_ExpectationValues/NSpins/NSpins; - ofile << setw(15) << setprecision(8) << Evariance/temperature/temperature; - ofile << setw(15) << setprecision(8) << M_ExpectationValues/NSpins/NSpins; - ofile << setw(15) << setprecision(8) << Mvariance/temperature; - ofile << setw(15) << setprecision(8) << Mabs_ExpectationValues/NSpins/NSpins << endl; + ofile << setw(15) << setprecision(8) << M_ExpectationValues/NSpins/NSpins << endl; } // end output function diff --git a/doc/Programs/Sampling/gaussian.dat b/doc/Programs/Sampling/gaussian.dat new file mode 100644 index 000000000..d9ff70e28 --- /dev/null +++ b/doc/Programs/Sampling/gaussian.dat @@ -0,0 +1,500000 @@ +9.996375589847392718e+00 +1.005185245876188915e+01 +9.917082794675010859e+00 +9.995356650698653311e+00 +1.002204344177052242e+01 +9.953221427062025839e+00 +9.994473215113799824e+00 +9.986747092380939606e+00 +1.001877533723977365e+01 +9.978547942349047517e+00 +9.953807556736880002e+00 +1.016829957091070469e+01 +9.934924570611720185e+00 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a/doc/Programs/VMC2Electrons/vectormatrixclass.cpp b/doc/Programs/VMC2Electrons/vectormatrixclass.cpp deleted file mode 100755 index b608779ae..000000000 --- a/doc/Programs/VMC2Electrons/vectormatrixclass.cpp +++ /dev/null @@ -1,726 +0,0 @@ - -#include "vectormatrixclass.h" - -Point::Point(int dim){ - dimension = dim; - data = new double[dimension]; - - for(int i=0;i=0 && i=0 && i0) - cout << data[0]; - for(int i=1;i=0 && i=0 && i0) - cout << data[0]; - for(int i=1;i tmp)?maxval:tmp; - } - return(maxval); -} - -double Vector::MaxMod(){ - double maxm = -1.0e+10; - - for(int i=0; i fabs(data[i]))?maxm:fabs(data[i]); - - return maxm; -} - -double Vector::ElementofMaxMod(){ - return(data[MaxModindex()]); -} - - -int Vector::MaxModindex(){ - double maxm = -1.0e+10; - int maxmindex = 0; - - for(int i=0; i sum)?maxval:sum; - } - return(maxval); -} - - -double Matrix::Norm_l1(){ - double maxval = 0.0,sum; - - for(int j=0;j sum)?maxval:sum; - } - return(maxval); -} - - - -Matrix& Matrix::operator=(const Matrix &m){ - if( (rows == m.rows) && (columns == m.columns)){ - for(int i=0; i=0) && (j>=0) && (i=0) && (j>=0) && (imaxv)?fabs(data[row][i]):maxv; - - return maxv; -} - -double Matrix::MaxModInRow(int row, int starting_column){ - double maxv = -1.0e+10; - for(int i=starting_column;imaxv)?fabs(data[row][i]):maxv; - - return maxv; -} - -int Matrix::MaxModInRowindex(int row){ - int maxvindex = 0; - double maxv = -1.0e+10; - - for(int i=0;imaxv)?fabs(data[i][column]):maxv; - - return maxv; -} - -double Matrix::MaxModInColumn(int column, int starting_row){ - double maxv = -1.0e+10; - for(int i=starting_row;imaxv)?fabs(data[i][column]):maxv; - - return maxv; -} - -int Matrix::MaxModInColumnindex(int column){ - int maxvindex = 0; - double maxv = -1.0e+10; - - for(int i=0;i=0.0)?1.0:-1.0; - - return xs; -} - -//GammaF function valid for x integer, or x (integer+0.5) -double GammaF(double x){ - double gamma = 1.0; - - if (x == -0.5) - gamma = -2.0*sqrt(M_PI); - else if (!x) return gamma; - else if ((x-(int)x) == 0.5){ - int n = (int) x; - double tmp = x; - - gamma = sqrt(M_PI); - while(n--){ - tmp -= 1.0; - gamma *= tmp; - } - } - else if ((x-(int)x) == 0.0){ - int n = (int) x; - double tmp = x; - - while(--n){ - tmp -= 1.0; - gamma *= tmp; - } - } - - return gamma; -} - - -int Factorial(int n){ - int value=1; - for(int i=n;i>0;i--) - value = value*i; - - return value; -} - -double ** CreateMatrix(int m, int n){ - double ** mat; - mat = new double*[m]; - for(int i=0;i -#include -using namespace std; - - - -class Point; -class Vector; -class Matrix; - - -/********************************/ -/* Point Class */ -/********************************/ - -class Point{ - private: - int dimension; - double *data; - - public: - Point(int dim); - Point(const Point& v); - ~Point(); - - int Dimension() const; - - //************************ - // User Defined Operators - //************************ - int operator==(const Point& v) const; - int operator!=(const Point& v) const; - Point & operator=(const Point& v); - - double operator()(const int i) const; - double& operator()(const int i); - - void Print() const; -}; - - - -/********************************/ -/* Vector Class */ -/********************************/ - -class Vector{ - private: - int dimension; - double *data; - - public: - Vector(); - Vector(int dim); - Vector(const Vector& v); - Vector(int col, const Matrix &A); - ~Vector(); - - void Initialize(int dim); - int Dimension() const; - double Length(); /* Euclidean Norm of the Vector */ - void Normalize(); - - double Norm_l1(); - double Norm_l2(); - double Norm_linf(); - double MaxMod(); - double ElementofMaxMod(); - int MaxModindex(); - - //************************ - // User Defined Operators - //************************ - int operator==(const Vector& v) const; - int operator!=(const Vector& v) const; - Vector & operator=(const Vector& v); - - double operator()(const int i) const; - double& operator()(const int i); - - void Print() const; - void Initialize(double a); - void Initialize(double *v); -}; - - - -/********************************/ -/* Matrix Class */ -/********************************/ - -class Matrix { -private: - int rows, columns; - double **data; - -public: - - Matrix(int dim); - Matrix(int rows1, int columns1); - Matrix(const Matrix& m); - Matrix(int num_vectors, const Vector * q); - Matrix(int rows1, int columns1, double **rowptrs); - ~Matrix(); - - int Rows() const; - int Columns() const; - double ** GetPointer(); - void GetColumn(int col, Vector &x); - void GetColumn(int col, Vector &x, int rowoffset); - void PutColumn(int col, const Vector &x); - double Norm_l1(); - double Norm_linf(); - - //************************ - // User Defined Operators - //************************ - Matrix& operator=(const Matrix& m); - double operator()(const int i, const int j) const; - double& operator()(const int i, const int j); - - double MaxModInRow(int row); - double MaxModInRow(int row, int starting_column); - int MaxModInRowindex(int row); - int MaxModInRowindex(int row, int starting_column); - - double MaxModInColumn(int column); - double MaxModInColumn(int column, int starting_row); - int MaxModInColumnindex(int column); - int MaxModInColumnindex(int column, int starting_row); - - void RowSwap(int row1, int row2); - - void Print() const; - -}; - - -/********************************/ -/* Operator Declarations */ -/********************************/ - -// Unitary operator - -Vector operator-(const Vector& v); - -// Binary operator +,- -Vector operator+(const Vector& v1, const Vector& v2); -Vector operator-(const Vector& v1, const Vector& v2); - -// Vector Scaling (multiplication by a scaler : defined commutatively) -Vector operator*(const double s, const Vector& v); -Vector operator*(const Vector& v, const double s); - -// Vector Scaling (division by a scaler) -Vector operator/(const Vector& v, const double s); - -Vector operator*(const Matrix& A, const Vector& x); - - -/********************************/ -/* Function Declarations */ -/********************************/ - -int min_dimension(const Vector& u, const Vector& v); -double dot(const Vector& u, const Vector& v); -double dot(int N, double *a, double *b); -double dot(int N, const Vector &u, const Vector &v); -void Swap(double &a, double &b); -double Sign(double x); - -/* Misc. useful functions to have */ -double log2(double x); -double GammaF(double x); -int Factorial(int n); -double ** CreateMatrix(int m, int n); -void DestroyMatrix(double ** mat, int m, int n); - -int ** ICreateMatrix(int m, int n); -void IDestroyMatrix(int ** mat, int m, int n); - -#endif - - diff --git a/doc/Programs/VMC2Electrons/MPIvmcqdot.cpp b/doc/Programs/VMC2Electrons/vmcqdot.cpp similarity index 74% rename from doc/Programs/VMC2Electrons/MPIvmcqdot.cpp rename to doc/Programs/VMC2Electrons/vmcqdot.cpp index e3643c7e3..d36cdc197 100755 --- a/doc/Programs/VMC2Electrons/MPIvmcqdot.cpp +++ b/doc/Programs/VMC2Electrons/vmcqdot.cpp @@ -1,15 +1,16 @@ -// Variational Monte Carlo for atoms with importance sampling, slater det +// Variational Monte Carlo for atoms and quantum dots with importance sampling // Test case for 2-electron quantum dot, no classes using Mersenne-Twister RNG -#include "mpi.h" +// Compile as c++ -O3 -std=c++11 -Rpass=loop-vectorize -o Vmcqdot.x vmcqdot.cpp -larmadillo #include #include #include #include #include #include -#include "vectormatrixclass.h" +#include using namespace std; +using namespace arma; // output file as global variable ofstream ofile; // the step length and its squared inverse for the second derivative @@ -21,16 +22,16 @@ int NumberParticles = 2; // we fix also the number of electrons to be 2 // declaration of functions // The Mc sampling for the variational Monte Carlo -void MonteCarloSampling(int, double &, double &, Vector &); +void MonteCarloSampling(int, double &, double &, vec &); // The variational wave function -double WaveFunction(Matrix &, Vector &); +double WaveFunction(mat &, vec &); // The local energy -double LocalEnergy(Matrix &, Vector &); +double LocalEnergy(mat &, vec &); // The quantum force -void QuantumForce(Matrix &, Matrix &, Vector &); +void QuantumForce(mat &, mat &, vec &); // inline function for single-particle wave function @@ -44,7 +45,7 @@ inline double DerivativeSPwavefunction(double r, double alpha) { } // function for absolute value of relative distance -double RelativeDistance(Matrix &r, int i, int j) { +double RelativeDistance(mat &r, int i, int j) { double r_ij = 0; for (int k = 0; k < Dimension; k++) { r_ij += (r(i,k)-r(j,k))*(r(i,k)-r(j,k)); @@ -53,12 +54,12 @@ double RelativeDistance(Matrix &r, int i, int j) { } // inline function for derivative of Jastrow factor -inline double JastrowDerivative(Matrix &r, double beta, int i, int j, int k){ +inline double JastrowDerivative(mat &r, double beta, int i, int j, int k){ return (r(i,k)-r(j,k))/(RelativeDistance(r, i, j)*pow(1.0+beta*RelativeDistance(r, i, j),2)); } // function for square of position of single particle -double singleparticle_pos2(Matrix &r, int i) { +double singleparticle_pos2(mat &r, int i) { double r_single_particle = 0; for (int j = 0; j < Dimension; j++) { r_single_particle += r(i,j)*r(i,j); @@ -66,11 +67,11 @@ double singleparticle_pos2(Matrix &r, int i) { return r_single_particle; } -void lnsrch(int n, Vector &xold, double fold, Vector &g, Vector &p, Vector &x, - double *f, double stpmax, int *check, double (*func)(Vector &p)); +void lnsrch(int n, vec &xold, double fold, vec &g, vec &p, vec &x, + double *f, double stpmax, int *check, double (*func)(vec &p)); -void dfpmin(Vector &p, int n, double gtol, int *iter, double *fret, - double(*func)(Vector &p), void (*dfunc)(Vector &p, Vector &g)); +void dfpmin(vec &p, int n, double gtol, int *iter, double *fret, + double(*func)(vec &p), void (*dfunc)(vec &p, vec &g)); static double sqrarg; #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 : sqrarg*sqrarg) @@ -85,71 +86,50 @@ static double maxarg1,maxarg2; int main(int argc, char* argv[]) { - - // MPI initializations - int NumberProcesses, MyRank, NumberMCsamples; - MPI_Init (&argc, &argv); - MPI_Comm_size (MPI_COMM_WORLD, &NumberProcesses); - MPI_Comm_rank (MPI_COMM_WORLD, &MyRank); - double StartTime = MPI_Wtime(); - if (MyRank == 0 && argc <= 1) { + int TotalNumberMCsamples; + if (argc <= 1) { cout << "Bad Usage: " << argv[0] << " Read also output file on same line and number of Monte Carlo cycles" << endl; } // Read filename and number of Monte Carlo cycles from the command line - if (MyRank == 0 && argc > 2) { + if (argc > 2) { string filename = argv[1]; // first command line argument after name of program - NumberMCsamples = atoi(argv[2]); + TotalNumberMCsamples = atoi(argv[2]); string fileout = filename; - string argument = to_string(NumberMCsamples); + string argument = to_string(TotalNumberMCsamples); // Final filename as filename+NumberMCsamples fileout.append(argument); ofile.open(fileout); } - // broadcast the number of Monte Carlo samples - MPI_Bcast (&NumberMCsamples, 1, MPI_INT, 0, MPI_COMM_WORLD); // Two variational parameters only - Vector VariationalParameters(2); - int TotalNumberMCsamples = NumberMCsamples*NumberProcesses; + vec VariationalParameters(2); // Loop over variational parameters for (double alpha = 0.5; alpha <= 1.5; alpha +=0.1){ for (double beta = 0.1; beta <= 0.5; beta +=0.05){ VariationalParameters(0) = alpha; // value of alpha VariationalParameters(1) = beta; // value of beta // Do the mc sampling and accumulate data with MPI_Reduce - double TotalEnergy, TotalEnergySquared, LocalProcessEnergy, LocalProcessEnergy2; - LocalProcessEnergy = LocalProcessEnergy2 = 0.0; - MonteCarloSampling(NumberMCsamples, LocalProcessEnergy, LocalProcessEnergy2, VariationalParameters); - // Collect data in total averages - MPI_Reduce(&LocalProcessEnergy, &TotalEnergy, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); - MPI_Reduce(&LocalProcessEnergy2, &TotalEnergySquared, 1, MPI_DOUBLE, MPI_SUM, 0, MPI_COMM_WORLD); - // Print out results in case of Master node, set to MyRank = 0 - if ( MyRank == 0) { - double Energy = TotalEnergy/( (double)NumberProcesses); - double Variance = TotalEnergySquared/( (double)NumberProcesses)-Energy*Energy; - double StandardDeviation = sqrt(Variance/((double)TotalNumberMCsamples)); // over optimistic error - ofile << setiosflags(ios::showpoint | ios::uppercase); - ofile << setw(15) << setprecision(8) << VariationalParameters(0); - ofile << setw(15) << setprecision(8) << VariationalParameters(1); - ofile << setw(15) << setprecision(8) << Energy; - ofile << setw(15) << setprecision(8) << Variance; - ofile << setw(15) << setprecision(8) << StandardDeviation << endl; - } + double Energy, EnergySquared; + Energy = EnergySquared = 0.0; + MonteCarloSampling(TotalNumberMCsamples, Energy, EnergySquared, VariationalParameters); + double Variance = EnergySquared-Energy*Energy; + double StandardDeviation = sqrt(Variance/((double)TotalNumberMCsamples)); // over optimistic error + ofile << setiosflags(ios::showpoint | ios::uppercase); + ofile << setw(15) << setprecision(8) << VariationalParameters(0); + ofile << setw(15) << setprecision(8) << VariationalParameters(1); + ofile << setw(15) << setprecision(8) << Energy; + ofile << setw(15) << setprecision(8) << Variance; + ofile << setw(15) << setprecision(8) << StandardDeviation << endl; } } - double EndTime = MPI_Wtime(); - double TotalTime = EndTime-StartTime; - if ( MyRank == 0 ) cout << "Time = " << TotalTime << " on number of processors: " << NumberProcesses << endl; - if (MyRank == 0) ofile.close(); // close output file - // End MPI - MPI_Finalize (); + ofile.close(); // close output file return 0; } // end of main function // Monte Carlo sampling with the Metropolis algorithm -void MonteCarloSampling(int NumberMCsamples, double &cumulative_e, double &cumulative_e2, Vector &VariationalParameters) +void MonteCarloSampling(int NumberMCsamples, double &cumulative_e, double &cumulative_e2, vec &VariationalParameters) { // Initialize the seed and call the Mersienne algo @@ -162,8 +142,8 @@ void MonteCarloSampling(int NumberMCsamples, double &cumulative_e, double &cumul double D = 0.5; double timestep = 0.05; // we fix the time step for the gaussian deviate // allocate matrices which contain the position of the particles - Matrix OldPosition( NumberParticles, Dimension), NewPosition( NumberParticles, Dimension); - Matrix OldQuantumForce(NumberParticles, Dimension), NewQuantumForce(NumberParticles, Dimension); + mat OldPosition( NumberParticles, Dimension), NewPosition( NumberParticles, Dimension); + mat OldQuantumForce(NumberParticles, Dimension), NewQuantumForce(NumberParticles, Dimension); double Energy = 0.0; double EnergySquared = 0.0; double DeltaE = 0.0; // initial trial positions for (int i = 0; i < NumberParticles; i++) { @@ -223,7 +203,7 @@ void MonteCarloSampling(int NumberMCsamples, double &cumulative_e, double &cumul // Function to compute the squared wave function and the quantum force -double WaveFunction(Matrix &r, Vector &VariationalParameters) +double WaveFunction(mat &r, vec &VariationalParameters) { double wf = 0.0; // full Slater determinant for two particles, replace with Slater det for more particles @@ -231,7 +211,7 @@ double WaveFunction(Matrix &r, Vector &VariationalParameters) // contribution from Jastrow factor for (int i = 0; i < NumberParticles-1; i++) { for (int j = i+1; j < NumberParticles; j++) { - // wf *= exp(RelativeDistance(r, i, j)/((1.0+VariationalParameters(1)*RelativeDistance(r, i, j)))); + wf *= exp(RelativeDistance(r, i, j)/((1.0+VariationalParameters(1)*RelativeDistance(r, i, j)))); } } return wf; @@ -239,13 +219,13 @@ double WaveFunction(Matrix &r, Vector &VariationalParameters) // Function to calculate the local energy without numerical derivation of kinetic energy -double LocalEnergy(Matrix &r, Vector &VariationalParameters) +double LocalEnergy(mat &r, vec &VariationalParameters) { // compute the kinetic and potential energy from the single-particle part // for a many-electron system this has to be replaced by a Slater determinant // The absolute value of the interparticle length - Matrix length( NumberParticles, NumberParticles); + mat length( NumberParticles, NumberParticles); // Set up interparticle distance for (int i = 0; i < NumberParticles-1; i++) { for(int j = i+1; j < NumberParticles; j++){ @@ -260,7 +240,7 @@ double LocalEnergy(Matrix &r, Vector &VariationalParameters) double sum1 = 0.0; for(int j = 0; j < NumberParticles; j++){ if ( j != i) { - //sum1 += JastrowDerivative(r, VariationalParameters(1), i, j, k); + sum1 += JastrowDerivative(r, VariationalParameters(1), i, j, k); } } KineticEnergy += (sum1+DerivativeSPwavefunction(r(i,k),VariationalParameters(0)))*(sum1+DerivativeSPwavefunction(r(i,k),VariationalParameters(0))); @@ -269,7 +249,7 @@ double LocalEnergy(Matrix &r, Vector &VariationalParameters) KineticEnergy += -2*VariationalParameters(0)*NumberParticles; for (int i = 0; i < NumberParticles-1; i++) { for (int j = i+1; j < NumberParticles; j++) { - // KineticEnergy += 2.0/(pow(1.0 + VariationalParameters(1)*length(i,j),2))*(1.0/length(i,j)-2*VariationalParameters(1)/(1+VariationalParameters(1)*length(i,j)) ); + KineticEnergy += 2.0/(pow(1.0 + VariationalParameters(1)*length(i,j),2))*(1.0/length(i,j)-2*VariationalParameters(1)/(1+VariationalParameters(1)*length(i,j)) ); } } KineticEnergy *= -0.5; @@ -282,7 +262,7 @@ double LocalEnergy(Matrix &r, Vector &VariationalParameters) // Add the electron-electron repulsion for (int i = 0; i < NumberParticles-1; i++) { for (int j = i+1; j < NumberParticles; j++) { - //PotentialEnergy += 1.0/length(i,j); + PotentialEnergy += 1.0/length(i,j); } } double LocalE = KineticEnergy+PotentialEnergy; @@ -290,7 +270,7 @@ double LocalEnergy(Matrix &r, Vector &VariationalParameters) } // Compute the analytical expression for the quantum force -void QuantumForce(Matrix &r, Matrix &qforce, Vector &VariationalParameters) +void QuantumForce(mat &r, mat &qforce, vec &VariationalParameters) { // compute the first derivative for (int i = 0; i < NumberParticles; i++) { @@ -315,14 +295,14 @@ void QuantumForce(Matrix &r, Matrix &qforce, Vector &VariationalParameters) #define TOLX (4*EPS) #define STPMX 100.0 -void dfpmin(Vector &p, int n, double gtol, int *iter, double *fret, - double(*func)(Vector &p), void (*dfunc)(Vector &p, Vector &g)) +void dfpmin(vec &p, int n, double gtol, int *iter, double *fret, + double(*func)(vec &p), void (*dfunc)(vec &p, vec &g)) { int check,i,its,j; double den,fac,fad,fae,fp,stpmax,sum=0.0,sumdg,sumxi,temp,test; - Vector dg(n), g(n), hdg(n), pnew(n), xi(n); - Matrix hessian(n,n); + vec dg(n), g(n), hdg(n), pnew(n), xi(n); + mat hessian(n,n); fp=(*func)(p); (*dfunc)(p,g); @@ -398,8 +378,8 @@ void dfpmin(Vector &p, int n, double gtol, int *iter, double *fret, #define ALF 1.0e-4 #define TOLX 1.0e-7 -void lnsrch(int n, Vector &xold, double fold, Vector &g, Vector &p, Vector &x, - double *f, double stpmax, int *check, double (*func)(Vector &p)) +void lnsrch(int n, vec &xold, double fold, vec &g, vec &p, vec &x, + double *f, double stpmax, int *check, double (*func)(vec &p)) { int i; double a,alam,alam2,alamin,b,disc,f2,fold2,rhs1,rhs2,slope,sum,temp,

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