mirror of https://github.com/Askill/AP-SCE.git
- fixed a4.1.1, a4.1.2 and a542 now handels inputs
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7bbe3e29f0
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9a2d6028b4
97
Mex/a411.cpp
97
Mex/a411.cpp
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@ -7,103 +7,94 @@ void mexFunction(int nlhs, mxArray *plhs[], // Output variables
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int nrhs, const mxArray *prhs[]) // Input variables
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{
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int variables = *mxGetPr(prhs[0]);
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double inc = *mxGetPr(prhs[1]);
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double* x = (double *)mxCalloc(variables, sizeof(double)); //create solution array
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double* xx = (double *)mxCalloc(variables, sizeof(double));
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double* yy = (double *)mxCalloc(variables, sizeof(double));
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double* x_in = (double *)mxCalloc(variables, sizeof(double)); //input x
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double* y = (double *)mxCalloc(variables, sizeof(double)); //input y
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double** GA = (double **)mxCalloc(variables+1, sizeof(double*)); //create Gauss Array (GA)
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double** GA = (double **)mxCalloc(variables+1, sizeof(double*)); //create Gauss Array (GA)
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for (int i = 0; i <= variables; i++){
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GA[i] = (double *)mxCalloc(variables+1, sizeof(double));
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}
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for(int i=0;i<variables;i++){
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xx[i]=mxGetPr(prhs[1])[i];
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x_in[i]=mxGetPr(prhs[2])[i];
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}
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for(int i=0;i<variables;i++){
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yy[i]=mxGetPr(prhs[2])[i];
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y[i]=mxGetPr(prhs[3])[i];
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}
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for(int i=0;i<variables;i++){
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for(int i=0;i<variables;i++){ //fill GA with the polynoms
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for(int j=0; j<variables;j++){
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GA[i][j] = pow(xx[i],j);
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GA[i][j] = pow(x_in[i],j);
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}
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}
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for(int i=0;i<variables;i++){
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GA[i][variables] = yy[i];
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GA[i][variables] = y[i];
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}
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double len = (x_in[variables-1]-x_in[0])/inc +1;
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double* xx = (double *)mxCalloc(len, sizeof(double)); //return array with x values
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double* yy = (double *)mxCalloc(len, sizeof(double)); //return array with interpolated y values
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int i, j, k;
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for (i = 0; i<variables; i++) //Pivotisation
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for (k = i + 1; k<variables; k++)
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double temp=x_in[0];
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for(int i=0;temp <= x_in[variables-1]+inc;i++){ //generate return array with x values
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xx[i]=temp;
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temp += inc;
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}
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// Gauß
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for (int i = 0; i<variables; i++) //Pivotisation
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for (int k = i + 1; k<variables; k++)
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if (abs(GA[i][i])<abs(GA[k][i]))
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for (j = 0; j <= variables; j++)
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for (int j = 0; j <= variables; j++)
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{
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long double temp = GA[i][j];
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GA[i][j] = GA[k][j];
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GA[k][j] = temp;
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}
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for (i = 0; i<variables - 1; i++) //gauss elimination
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for (k = i + 1; k<variables; k++)
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for (int i = 0; i<variables - 1; i++) //gauss elimination
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for (int k = i + 1; k<variables; k++)
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{
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long double t = GA[k][i] / GA[i][i];
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for (j = 0; j <= variables; j++)
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for (int j = 0; j <= variables; j++)
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GA[k][j] = GA[k][j] - t*GA[i][j]; //make the elements below the pivot elements equal to zero or elimnate the variables
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}
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for (i = variables - 1; i >= 0; i--) //back-substitution
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for (int i = variables - 1; i >= 0; i--) //back-substitution
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{ //x is an array whose values correspond to the values of x,y,z..
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x[i] = GA[i][variables]; //make the variable to be calculated equal to the rhs of the last equation
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for (j = i + 1; j<variables; j++)
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for (int j = i + 1; j<variables; j++)
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if (j != i) //then subtract all the lhs values except the coefficient of the variable whose value is being calculated
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x[i] = x[i] - GA[i][j] * x[j];
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x[i] = x[i] / GA[i][i]; //now finally divide the rhs by the coefficient of the variable to be calculated
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}
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nlhs = variables;
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for(int j=0; j < variables; j++){
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plhs[j]=mxCreateDoubleScalar(x[j]);
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}
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for(int l=0;l<variables;l++){
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char temp;
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if(x[variables-1-l] != 0)
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{
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if(l!=0){
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mexPrintf("+");
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}
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if(x[variables-1-l] < 0 ){
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mexPrintf("-");
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x[variables-l] *= -1;
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}
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temp=(char)(48+x[variables-1-l]);
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mexPrintf("%c",temp);
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if(variables-1-l != 0){
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mexPrintf("*");
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mexPrintf("x");
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mexPrintf("^");
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temp=(char)(48+variables-1-l);
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mexPrintf("%c",temp);
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}
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//polyval: filling yy with the interpolated values
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for (int i = 0; i < len; i++){
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double tmp = 0;
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for (int j = 0; j < variables; j++){
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tmp += pow(xx[i], j) * x[j];
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}
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}
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mexPrintf("\n");
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for (int i = 0; i <= variables; i++ ){
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free(GA[i]);
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yy[i]=tmp;
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}
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free(GA);
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free(x);
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//return values
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nlhs = 2;
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plhs[0] = mxCreateDoubleMatrix(1, len, mxREAL);
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memcpy(mxGetPr(plhs[0]), xx, len*sizeof(double));
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plhs[1] = mxCreateDoubleMatrix(1, len, mxREAL);
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memcpy(mxGetPr(plhs[1]), yy, len*sizeof(double));
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//free memory
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// causes errors
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return;
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}
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126
Mex/a412.cpp
126
Mex/a412.cpp
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@ -7,103 +7,69 @@ void mexFunction(int nlhs, mxArray *plhs[], // Output variables
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int nrhs, const mxArray *prhs[]) // Input variables
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{
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int variables = *mxGetPr(prhs[0]);
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variables++;
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double inc = *mxGetPr(prhs[1]);
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double* x = (double *)mxCalloc(variables, sizeof(double)); //create solution array
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double* xx = (double *)mxCalloc(variables, sizeof(double));
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double* yy = (double *)mxCalloc(variables, sizeof(double));
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double* x = (double *)mxCalloc(variables, sizeof(double));
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double* y = (double *)mxCalloc(variables, sizeof(double));
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double** GA = (double **)mxCalloc(variables+1, sizeof(double*)); //create Gauss Array (GA)
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for (int i = 0; i <= variables; i++){
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GA[i] = (double *)mxCalloc(variables+1, sizeof(double));
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for(int i=0;i<variables-1;i++){
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x[i]=mxGetPr(prhs[2])[i];
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}
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x[variables-1]=x[variables-2];
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x[variables-1]+=inc;
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for(int i=0;i<variables-1;i++){
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y[i]=mxGetPr(prhs[3])[i];
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}
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for(int i=0;i<variables;i++){
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xx[i]=mxGetPr(prhs[1])[i];
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}
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for(int i=0;i<variables;i++){
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yy[i]=mxGetPr(prhs[2])[i];
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}
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y[variables-1]=y[variables-2];
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for(int i=0;i<variables;i++){
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for(int j=0; j<variables;j++){
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GA[i][j] = pow(xx[i],j);
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}
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}
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for(int i=0;i<variables;i++){
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GA[i][variables] = yy[i];
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double len = (x[variables-1]-x[0])/inc +1;
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double* xx = (double *)mxCalloc(len, sizeof(double));
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double* yy = (double *)mxCalloc(len, sizeof(double));
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double temp=x[0];
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for(int i=0;temp <= x[variables-1]+inc;i++){
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xx[i]=temp;
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temp += inc;
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}
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//Code von Marvin Lehmann start
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unsigned int savepoint = 0;
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int i, j, k;
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for (i = 0; i<variables; i++) //Pivotisation
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for (k = i + 1; k<variables; k++)
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if (abs(GA[i][i])<abs(GA[k][i]))
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for (j = 0; j <= variables; j++)
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{
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long double temp = GA[i][j];
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GA[i][j] = GA[k][j];
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GA[k][j] = temp;
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}
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for (i = 0; i<variables - 1; i++) //gauss elimination
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for (k = i + 1; k<variables; k++)
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// Zwischen jeweils 2 Punkten
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for (unsigned int i = 0; i < variables-1; i++)
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{
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// Für alle Zwischenwerte (xx) y interpolieren (yy)
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for (unsigned int j = savepoint; j < len; j++)
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{
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long double t = GA[k][i] / GA[i][i];
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for (j = 0; j <= variables; j++)
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GA[k][j] = GA[k][j] - t*GA[i][j]; //make the elements below the pivot elements equal to zero or elimnate the variables
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if (xx[j] >= x[i] && xx[j] <= x[i + 1])
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{
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// Interpolationsformel
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yy[j] = ((y[i + 1] - y[i]) / (x[i + 1] - x[i])) * (xx[j] - x[i]) + y[i];
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}
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else if (xx[j] > x[i + 1])
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{
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savepoint = j;
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break;
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}
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}
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for (i = variables - 1; i >= 0; i--) //back-substitution
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{ //x is an array whose values correspond to the values of x,y,z..
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x[i] = GA[i][variables]; //make the variable to be calculated equal to the rhs of the last equation
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for (j = i + 1; j<variables; j++)
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if (j != i) //then subtract all the lhs values except the coefficient of the variable whose value is being calculated
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x[i] = x[i] - GA[i][j] * x[j];
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x[i] = x[i] / GA[i][i]; //now finally divide the rhs by the coefficient of the variable to be calculated
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}
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//Code von Marvin Lehmann ende
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nlhs = variables;
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for(int j=0; j < variables; j++){
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plhs[j]=mxCreateDoubleScalar(x[j]);
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nlhs = 2;
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}
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for(int l=0;l<variables;l++){
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char temp;
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plhs[0] = mxCreateDoubleMatrix(1, len, mxREAL);
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memcpy(mxGetPr(plhs[0]), xx, len*sizeof(double));
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if(x[variables-1-l] != 0)
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{
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if(l!=0){
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mexPrintf("+");
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}
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if(x[variables-1-l] < 0 ){
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mexPrintf("-");
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x[variables-l] *= -1;
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}
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temp=(char)(48+x[variables-1-l]);
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mexPrintf("%c",temp);
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plhs[1] = mxCreateDoubleMatrix(1, len, mxREAL);
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memcpy(mxGetPr(plhs[1]), yy, len*sizeof(double));
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if(variables-1-l != 0){
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mexPrintf("*");
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mexPrintf("x");
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mexPrintf("^");
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temp=(char)(48+variables-1-l);
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mexPrintf("%c",temp);
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}
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}
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}
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mexPrintf("\n");
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for (int i = 0; i <= variables; i++ ){
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free(GA[i]);
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}
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free(GA);
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free(x);
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return;
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}
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34
Mex/a542.cpp
34
Mex/a542.cpp
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@ -2,29 +2,41 @@
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#include "matrix.h"
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#include "stdlib.h"
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#include "math.h"
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double g_von_theta(long double x, long double y)
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double g_von_theta(long double x, long double y, char * func_Name)
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{
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return -(x*x + y*y);
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//-(x*x + y*y);
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mxArray *func_Inputs[2];
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mxArray *func_Outputs[1];
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func_Inputs[0] = mxCreateDoubleScalar(x);
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func_Inputs[1] = mxCreateDoubleScalar(y);
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mexCallMATLAB(1, func_Outputs , 2 , func_Inputs , func_Name);
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return *mxGetPr(func_Outputs[0]);
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}
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void mexFunction(int nlhs, mxArray *plhs[], // Output variables
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int nrhs, const mxArray *prhs[]) // Input variables
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{
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double x = -2, y = -2,
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xnew, ynew,
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increments = 0.1,
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z = g_von_theta(x, y),
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char *func_Name;
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func_Name = mxArrayToString(prhs[0]);
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//x = -2, y = -2
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double x = *mxGetPr(prhs[1]);
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double y = *mxGetPr(prhs[2]);
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double increments = *mxGetPr(prhs[3]);
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double xnew, ynew,
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z = g_von_theta(x, y, func_Name),
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znew = 0, zold = 1,
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zinitial = z;
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int xTOy = 1, iAThalf = 1000; //iAThalf: max iterations/2
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int i;
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for( i = 0 ; i <= 2 * iAThalf + 1; ++i) // add. exit crit. needed
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for(int i = 0 ; i <= 2 * iAThalf + 1; ++i) // add. exit crit. needed
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{
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if (xTOy == 1)
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{
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xnew = x;
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ynew = y;
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if (zinitial / 2 == z) //appropriate criteria?
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if (zinitial / 2 == z)
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{
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iAThalf = i;
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ynew = y + increments;
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@ -38,7 +50,7 @@ int i;
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ynew = y + increments;
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}
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znew = g_von_theta(xnew, ynew);
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znew = g_von_theta(xnew, ynew, func_Name);
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zold = z;
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if(znew > z)
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{
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@ -55,6 +67,6 @@ int i;
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plhs[0] = mxCreateDoubleScalar(x);
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plhs[1] = mxCreateDoubleScalar(y);
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plhs[2] = mxCreateDoubleScalar(z);
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plhs[3] = mxCreateDoubleScalar(i);
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return;
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}
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@ -0,0 +1,11 @@
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%function accepts 1 string, 2 double and increments
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% a542("func_name", x, y, inc)
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% function returns lowest found return of passed function
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%
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%exp.:
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% function z=func(x,y)
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% z=-(x*x + y*y);
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% end
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%
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% a542("func",-2,-2, 0.1)
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% ans=6.3838e-016
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