[andre220@bps1240-15 wk4]$ g++ Energy.cpp -o Energy
Energy.cpp: In function ‘void eigen(double (*)[5], double*, double (*)[5], double*, double (*)[5], double (*)[5], double*, double*, double (*)[5])’:
Energy.cpp:183: error: cannot convert ‘double (*)[5]’ to ‘double’ for argument ‘1’ to ‘void matrix_iter(double, double, double, double, double, double, double, double, double)’
Energy.cpp: In function ‘void matrix_iter(double (*)[5], double*, double*, double (*)[5], double (*)[5], double*, double, double*, double (*)[5])’:
Energy.cpp:226: error: cannot convert ‘double (*)[5]’ to ‘double’ for argument ‘1’ to ‘void multiply(double, double, double)’
Energy.cpp:300: error: cannot convert ‘double (*)[5]’ to ‘double’ for argument ‘1’ to ‘void multiply(double, double, double)’
And I am not sure why because I checked and all of the arrays seem to be declared correctly, however, this is obviously not the case.
Here is my code:
/*---------------------Compiler Flags------------------------*/
#include <cmath>
#include <cstdlib>
#include <iostream>
#include <iomanip>
#include <fstream>
using namespace std;
/*-----------------------------------------------------------*/
/*-------------------------Constants-------------------------*/
const double hbar = 1; //Planck's constant/ 2pi
const double m = 1; //particle mass
const double L = 10.0; //Length
const int N = 5; //number of lattice points
const int nvec = 1;
const double omega = 1; //oscillator frequency
const double A = -0.25; //Kinetic Energy Constant
/*----------------------------------------------------------*/
/*----------------Functions----------------------------------*/
double V(double);
double KE_Mat_setup(double, double);
//KE_Mat_Setup(Kin_Mat)
double V_Mat_setup(double, double);
//V_Mat_Setup(xvec,Potential)
double KE();
//Constant for for KE
double Hamil_Mat_setup(double, double, double,double);
//Hamilton(Kin_Mat, V_Mat, xvec, H_Mat)
void Eigen(double, double, double, double, double, double, double, double, double, double);
//Eigen(H_Mat)
void matrix_iter(double, double, double, double, double, double, double, double, double);
void multiply(double, double, double);
/*----------------------------------------------------------*/
double V(double x)
{
// V(x) = 1/2 * m * w^2 * x^2
return 0.5 * m * omega * omega * x * x;
}
//Kinetic Matrix setup
double KE_Mat_setup(double Kin_Mat[N][N])
{
for (int i = 0; i<N; i++)
{
for (int j = 0; j<N; j++)
{
//Diagonal elements
if (i == j)
{
Kin_Mat[i][j] = -2 * A;
}
//Off diagonal elements by 1
else if (abs(i-j) == 1)
{
Kin_Mat[i][j] = 1 * A;
}
//Other off diagonal elements
else
{
Kin_Mat[i][j] = 0;
}
}
}
//Print Matrix
/*
for (int i=0; i<N; ++i)
{
for (int j=0; j<N; ++j)
{
printf("%03f ", Kin_Mat[i][j]);
}
cout << '\n';
}
*/
return Kin_Mat[N][N];
}
//Potential Matrix setup
double V_Mat_setup(double xvec[N], double V_Mat[N][N])
{
for (int i = 0; i < N; i++)
{
for (int j = 0; j < N; j++)
{
//Diagonal elements
if (i==j)
{
V_Mat[i][j] = V(xvec[i]);
}
//Off diagonal elements
else
{
V_Mat[i][j] = 0;
}
}
}
//Print Matrix
/*
for (int i=0; i<N; ++i)
{
for (int j=0; j<N; ++j)
{
printf("%03f ", V_Mat[i][j]);
}
cout << '\n';
}
*/
return V_Mat[N][N];
}
//Setting up hamiltonian matrix
double Hamil_Mat_setup(double Kin_Mat[N][N], double V_Mat[N][N], double xvec[N], double H_Mat[N][N])
{
//Sets each initial element in H_Mat = 0
for (int i = 0; i < N; i ++)
{
for (int j = 0; j < N; j++)
{
H_Mat[i][j] = 0;
}
}
//Adds each ij element of Kin_Mat and V_Mat to get H_Mat
for (int i = 0; i < N; i ++)
{
for (int j = 0; j < N; j ++)
{
H_Mat[i][j] += Kin_Mat[i][j] + V_Mat[i][j];
}
}
//Subtracts a large constant from each ij element of H_Mat
for (int i = 0; i < N; i ++)
{
for (int j = 0; j < N; j++)
{
H_Mat[i][j] -= 100;
}
}
//Print Matrix
cout << endl << "Hamiltonian" << endl;
for (int i=0; i<N; ++i)
{
for (int j=0; j<N; ++j)
{
printf("%03f ", H_Mat[i][j]);
}
cout << '\n';
}
return H_Mat[N][N];
}
void eigen(double H_Mat[N][N], double mat_y[N], double mat_d[N][N], double mat_x[N], double mat_b[N][N], double mat_c[N][N], double mat_a[N], double freq[N], double eig[N][N])
{
int i, j;
double eps = 1e-10;
for (i=0; i < N; i ++)
{
mat_y[i] = 1.0;
}
for ( i =0; i < N; i ++)
{
for (j = 0; j < N; j ++)
{
mat_d[i][j] = H_Mat[i][j];
}
}
matrix_iter(mat_d, mat_x, mat_y, mat_b, mat_c, mat_a, eps, freq, eig);
cout << endl << "Normalization Factor" << endl << endl;
for (i = 0; i < nvec; i ++)
cout << freq[i] << endl;
cout << endl << endl << endl << "Eigenvectors:" << endl << endl;
for (i = 0; i < N; i ++)
{
for (j = 0; j < nvec; j ++)
{
cout << eig[i][j] << endl;
}
}
cout << endl << "The Matrix D" << endl;
for (int i=0; i<N; ++i)
{
for (int j=0; j<N; ++j)
{
printf("%03f ", mat_d[i][j]);
}
cout << '\n';
}
return;
}
//Iteration Method
void matrix_iter( double mat_d[N][N], double mat_x[N], double mat_y[N], double mat_b[N][N], double mat_c[N][N], double mat_a[N], double eps, double freq[N], double eig[N][N])
{
int i, j, icon, ii;
double con, alam, sum, alp;
con = mat_y[0];
for (i = 0; i < N; i ++)
{
mat_x[i] = mat_y[i] / con;
}
do
{
icon = 0;
multiply(mat_d, mat_x, mat_a);
alam = mat_a[0];
for (i = 0; i < N; i ++)
{
mat_a[i] = mat_a[i] / alam;
}
for (i = 0; i < N; i ++)
{
if (fabs((mat_a[i] - mat_x[i]) / mat_x[i]) > eps)
icon = 1;
}
for (i = 0; i < N; i ++)
{
mat_x[i] = mat_a[i];
}
} while (icon != 0);
icon = 0;
freq[0] = sqrt(1.0 / alam);
for ( i = 0; i < N; i ++)
{
eig[i][0] = mat_x[i];
}
ii = 1;
while (ii != nvec)
{
ii = ii + 1;
sum = 0.0;
for (i = 0; i < N; i ++)
{
sum = sum + mat_x[i]* mat_x[i];
}
alp = sqrt(1.0 / sum);
for (i = 0; i < N; i ++)
{
mat_x[i] = mat_x[i] * alp;
}
for (i = 0; i < N; i ++)
{
for (j = 0; j < N; j++)
{
mat_c[i][j] = mat_x[i] * mat_x[j];
}
}
for (i = 0; i < N; i ++)
{
for (j = 0; j < N; j ++)
{
mat_d[i][j] = mat_d[i][j] - alam * mat_b[i][j];
}
}
con = mat_y[0];
for (i = 0; i < N; i ++)
{
mat_x[i] = mat_y[i] / con;
}
do
{
icon = 0;
multiply(mat_d, mat_x, mat_a);
alam = mat_a[0];
for (i = 0; i < N; i ++)
{
if (fabs((mat_a[i] - mat_x[i]) / mat_x[i]) > eps)
icon = 1;
}
for (i = 0; i < N; i ++)
{
mat_x[i] = mat_a[i];
}
} while (icon != 0);
icon = 0;
freq[ii-1] = sqrt(1.0 / alam);
for (i = 0; i < N; i ++)
{
eig[i][ii-1] = mat_x[i];
}
}
return;
}
void multiply(double mat_d[N][N], double mat_x[N], double mat_a[N])
{
for (int i = 0; i < N; i ++)
{
mat_a[i] = 0.0;
for (int j = 0; j < N; j ++)
{
mat_a[i] = mat_a[i] + mat_d[i][j] * mat_x[j];
}
}
return;
}
int main()
{
double H_Mat[N][N];
double V_Mat[N][N];
double Kin_Mat[N][N];
double xvec[N];
double mat_d[N][N], mat_x[N], mat_y[N], mat_b[N][N], mat_c[N][N], freq[N], eig[N][N], mat_a[N];
int j;
//Sets up xvec[N]
for (j = 0; j < N; j++)
{
xvec[j] = -L + 2*L* (j + 0.5)/ N;
}
//Set up Kin_Mat
KE_Mat_setup(Kin_Mat);
//Set up V_Mat
V_Mat_setup(xvec, V_Mat);
//Set up Hamiltonian Matrix
Hamil_Mat_setup(Kin_Mat, V_Mat, xvec, H_Mat);
cout << "The energy Eigenvectors of the Ground state " << endl;
eigen(H_Mat, mat_y, mat_d, mat_x, mat_b, mat_c, mat_a, freq, eig);
}

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