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utils_derivs.h
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utils_derivs.h
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#ifndef UTILS_DERIVS_H
#define UTILS_DERIVS_H
#include <iostream>
#include <vector>
#include <cmath>
#include <map>
#include <codi.hpp>
#include <boost/numeric/ublas/matrix_sparse.hpp>
#include "read_data.h"
#define ucmd ublas::compressed_matrix<double>
using Real = codi::RealForward;
using namespace std;
namespace ublas = boost::numeric::ublas;
// Bus data
vector<double> Volt, VoltMax, VoltMin, VoltAng, RealPowerDemand, ReactPowerDemand;
// Generator Data
vector<double> RealPower, ReactPower, RealPowerMax, RealPowerMin, ReactPowerMax, ReactPowerMin, BusID_Gen;
// Generator Cost Data
vector<double> a, b, c;
// Branch Data
vector<double> VoltAngMax, VoltAngMin, Gvec, Bvec, FromBus, ToBus;
// declare temp vectors for REG Data
vector<double> Real_P_REG, React_P_REG, BusID_REG;
int Nb, sizeY, sizeX;
/*****Function headers*****/
ublas::compressed_matrix<double> RealVectorToDoubleUBlas(vector<vector<Real>> input, int rowSize, int colSize);
ublas::compressed_matrix<double> RealPointerToDoubleUBlasVec(Real* input, int rowSize);
ublas::compressed_matrix<double> uBLASNaturalLog(ublas::compressed_matrix<double> input);
Real* DoubleUBlasToRealVector(ucmd input, int rowSize, int colSize);
/******************************************** Fuction Declarations ********************************************/
void f(const Real* X, vector<double> a, vector<double> b, vector<double> c, Real* result ) {
// Function Operations (reminder that Real Power are the first values of the X vector)
result[0] = 0;
// Formula 1
for (int i=0; i < a.size(); i++) {
//temp += a[i]*pow(X[i], 2) + b[i]*X[i] + c[i];
//printf("a[%d]*X[%d]**2 + b[%d]*X[%d] + c[%d] = %f\n", i, i, i, i, i, temp);
//result.push_back(temp);
result[0] += a[i]*pow(X[i], 2) + b[i]*X[i] + c[i];
//std::cout << result << ' ';
}
}
void G_func(const Real* X, vector<double> BusID_Gen, vector<double> BusID_REG, vector<double> FromBus, vector<double> ToBus,
vector<double> RealPowerDemand, vector<double> ReactPowerDemand, vector<double> G, vector<double> B, vector<double> Real_P_REG,
vector<double> React_P_REG, Real* result) {
// Variable Definitions
Real temp = 0;
int Xplace = 0;
//vector<double> result;
vector<vector<Real> > G_map, B_map, theta;
int Nb = RealPowerDemand.size();
// Fill theta, G and B values
for( int i = 0; i < Nb; i++ )
{
vector<Real> v(Nb, 0.0);
G_map.push_back(v);
B_map.push_back(v);
theta.push_back(v);
}
int Nbranches = FromBus.size();
for (int i=0; i < Nbranches; i++)
{
theta[FromBus[i]-1][ToBus[i]-1] = X[3*Nb+int(FromBus[i])-1] - X[3*Nb+int(ToBus[i])-1];
G_map[FromBus[i]-1][ToBus[i]-1] = G[i];
B_map[FromBus[i]-1][ToBus[i]-1] = B[i];
}
// Fill Power terms
vector<Real> P_G(Nb, 0.0), P_R(Nb, 0.0), Q_G(Nb, 0.0), Q_R(Nb, 0.0);
int NG = BusID_Gen.size(), NR = BusID_REG.size();
for( int i = 0; i < Nb; i++ )
{
for( int j = 0; j < NG; j++ )
{
if( i + 1 == BusID_Gen[j] )
{
P_G[i] = X[j];
Q_G[i] = X[j + NG];
continue;
}
}
for( int j = 0; j < NR; j++ )
{
if( i + 1 == BusID_REG[j] )
{
P_R[i] = Real_P_REG[j];
Q_R[i] = React_P_REG[j];
continue;
}
}
}
Real temp2 = 0;
int counter = 0;
// Real Power Balances
for(int i = 0; i < Nb; i++ )
{
temp = P_G[i] + P_R[i] - RealPowerDemand[i];
temp2 = 0;
for(int j = 0; j< Nb; j++)
{
temp2 += X[2*NG + j]*( G_map[i][j]*cos(theta[i][j]) + B_map[i][j]*sin(theta[i][j]) );
}
result[counter++] = temp - temp2*X[2*NG + i];
}
// Reactive Power Balances
for(int i = 0; i < Nb; i++ )
{
temp = Q_G[NG + i] + Q_R[NG + i] - ReactPowerDemand[NG + i];
temp2 = 0;
for(int j = 0; j< Nb; j++)
{
temp2 += X[2*NG + j]*( G_map[i][j]*sin(theta[i][j]) - B_map[i][j]*cos(theta[i][j]) );
}
result[counter++] = temp - temp2*X[2*NG + i];
}
}
void H(const Real* X, vector<double> RealPowerMax, vector<double> RealPowerMin, vector<double> ReactPowerMax, vector<double> ReactPowerMin,
vector<double> VoltMax, vector<double> VoltMin, vector<double> FromBus, vector<double> ToBus,
vector<double> VoltAngMax, vector<double> VoltAngMin, Real* result) {
// Variable Definitions
Real temp = 0, theta_ij = 0;
int Xplace = 0, counter = 0;
// Function Operations
for (int i=0; i < RealPowerMax.size(); i++) {
// Formula 4
//Max
temp = X[Xplace] - RealPowerMax[i];
result[counter++] = temp;
//Min
temp = -1*X[Xplace] + RealPowerMin[i];
result[counter++] = temp;
Xplace++;
}
for (int i=0; i < ReactPowerMax.size(); i++) {
// Formula 5
//Max
temp = X[Xplace] - ReactPowerMax[i];
result[counter++] = temp;
//Min
temp = -1*X[Xplace] + ReactPowerMin[i];
result[counter++] = temp;
Xplace++;
}
for (int i=0; i < VoltMax.size(); i++) {
// Formula 7
//Max
temp = X[Xplace] - VoltMax[i];
result[counter++] = temp;
//Min
temp = -1*X[Xplace] + VoltMin[i];
result[counter++] = temp;
Xplace++;
}
for (int i=0; i < FromBus.size(); i++) {
// Formula 9
theta_ij = X[Xplace+int(FromBus[i])-1] - X[Xplace+int(ToBus[i])-1];
//Max
temp = theta_ij - VoltAngMax[i];
//temp = (X[Xplace+int(FromBus[i])-1] - X[Xplace+int(ToBus[i])-1]) - VoltAngMax[i];
result[counter++] = temp;
//Min
temp = -1*theta_ij+ VoltAngMin[i];
//temp = -1*(X[Xplace+int(FromBus[i])-1] - X[Xplace+int(ToBus[i])-1]) + VoltAngMin[i];
result[counter++] = temp;
}
}
/*void Lag(const Real* X , ucmd lambda, ucmd mu, ucmd gamma, ucmd Z, ucmd &res )
{
Real Cost[1], GX[2*Nb], HX[sizeY];
f(X, a, b, c, Cost);
ublas::compressed_matrix<double> CostuBLAS(1, 1);
CostuBLAS = RealPointerToDoubleUBlasVec(Cost, 1);
G_func(X, BusID_Gen, BusID_REG, FromBus, ToBus, RealPowerDemand, ReactPowerDemand, Gvec, Bvec, Real_P_REG, React_P_REG, GX);
ublas::compressed_matrix<double> GXuBLAS(2*Nb, 1);
GXuBLAS = RealPointerToDoubleUBlasVec(GX, 2*Nb);
H(X, RealPowerMax, RealPowerMin, ReactPowerMax, ReactPowerMin, VoltMax, VoltMin, FromBus, ToBus, VoltAngMax, VoltAngMin, HX);
ublas::compressed_matrix<double> HXuBLAS(sizeY, 1);
HXuBLAS = RealPointerToDoubleUBlasVec(HX, sizeY);
res = CostuBLAS + ublas::prod(trans(lambda), GXuBLAS) + ublas::prod(trans(mu), HXuBLAS + Z)
- ublas::prod(trans(gamma), uBLASNaturalLog(Z));
}
void Real_Lag(const Real* X , ucmd lambda, ucmd mu, ucmd gamma, ucmd Z, ucmd res, Real* Y)
{
Lag(X, lambda, mu, gamma, Z, res);
cout<<res(0,0)<<endl;
Y[0].value()= res(0,0);
}
*/
void Lag(const Real* X , ucmd lambda, ucmd mu, ucmd gamma, ucmd Z, Real* res )
{
int Nb = lambda.size1(), sizeY = mu.size1();
Real Cost[1], GX[2*Nb], HX[sizeY];
f(X, a, b, c, Cost);
G_func(X, BusID_Gen, BusID_REG, FromBus, ToBus, RealPowerDemand, ReactPowerDemand, Gvec, Bvec, Real_P_REG, React_P_REG, GX);
H(X, RealPowerMax, RealPowerMin, ReactPowerMax, ReactPowerMin, VoltMax, VoltMin, FromBus, ToBus, VoltAngMax, VoltAngMin, HX);
size_t j = 0;
int counter = 0;
res[0] = Cost[0];
for(size_t i=0 ; i < lambda.size1();i++)
{
res[0] += lambda(i,j)*GX[counter];
counter++;
}
counter = 0;
for(size_t i=0 ; i < mu.size1();i++)
{
res[0] += mu(i,j)*HX[i];
res[0] -= gamma(i,j)*Z(i,j);
}
++counter;
//res = CostuBLAS + ublas::prod(trans(lambda), GXuBLAS) + ublas::prod(trans(mu), HXuBLAS + Z)
// - ublas::prod(trans(gamma), uBLASNaturalLog(Z));
}
/*
vector<vector<Real>> LagX(Real* X, int XSize, ucmd lambda, ucmd mu, ucmd gamma,
ucmd Z, ucmd res, vector<vector<Real>> result, int YSize = 1)
{
Real Y[1];
for(int i = 0; i < XSize; ++i)
{
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
Real_Lag( X , lambda, mu, gamma, Z, res, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
cout<<Y[j].value()<<" ";
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
}
return(result);
}
vector<vector<Real>> LagX(Real* X, int XSize, ucmd lambda, ucmd mu, ucmd gamma,
ucmd Z, vector<vector<Real>> result, int YSize = 1)
{
Real Y[1];
for(int i = 0; i < XSize; ++i)
{
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
Lag( X , lambda, mu, gamma, Z, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
cout<<Y[j].value()<<" ";
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
}
return(result);
}
*/
/******************************************** Derivative Declarations ********************************************/
vector<vector<Real>> fX(Real* X, int XSize, Real* Y, int YSize, vector<double> a, vector<double> b, vector<double> c,
vector<vector<Real>> result)
{
for(int i = 0; i < XSize; ++i)
{
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
f(X, a, b, c, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
}
return(result);
}
vector<vector<Real>> forwardModeFirstDerivativeH(Real* X, int XSize, Real* Y, int YSize, vector<double> RealPowerMax, vector<double> RealPowerMin,
vector<double> ReactPowerMax, vector<double> ReactPowerMin, vector<double> VoltMax,
vector<double> VoltMin, vector<double> FromBus, vector<double> ToBus, vector<double> VoltAngMax,
vector<double> VoltAngMin, vector<vector<Real>> result) {
//printf("Number of Equations: %d, Number of Variables: %d\n", YSize, XSize);
for(int i = 0; i < XSize; ++i) {
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
H(X, RealPowerMax, RealPowerMin, ReactPowerMax, ReactPowerMin, VoltMax, VoltMin, FromBus, ToBus, VoltAngMax, VoltAngMin, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
//printf("%d ", j);
}
//fflush(stdout);
return result;
}
vector<vector<Real>> GX_func(Real* X, int XSize, Real* Y, int YSize, vector<double> BusID_Gen, vector<double> BusID_REG, vector<double> FromBus,
vector<double> ToBus, vector<double> RealPowerDemand, vector<double> ReactPowerDemand, vector<double> Gvec, vector<double> Bvec,
vector<double> Real_P_REG, vector<double> React_P_REG, vector<vector<Real>> result) {
//printf("Number of Equations: %d, Number of Variables: %d\n", YSize, XSize);
for(int i = 0; i < XSize; ++i) {
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
G_func(X, BusID_Gen, BusID_REG, FromBus, ToBus, RealPowerDemand, ReactPowerDemand, Gvec, Bvec, Real_P_REG, React_P_REG, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
//printf("%d ", j);
}
//fflush(stdout);
return result;
}
vector<vector<Real>> forwardModeFirstDerivativeL(Real* X, int XSize, ucmd lambda, ucmd mu, ucmd gamma, ucmd Z, vector<vector<Real>> result, int YSize = 1)
{
Real Y[1];
for(int i = 0; i < XSize; ++i)
{
// Step 1: Set tangent seeding
X[i].gradient() = 1.0;
// Step 2: Evaluate function
Lag( X , lambda, mu, gamma, Z, Y);
for(int j = 0; j < YSize; ++j){
// Step 3: Access gradients
result[j][i] = Y[j].getGradient();
//cout << Y[j].getGradient() << " ";
}
// Step 4: Reset tangent seeding
X[i].gradient() = 0.0;
}
//cout << '\n';
return(result);
}
/******************************************* Useful Funct Declarations *******************************************/
ublas::compressed_matrix<double> RealVectorToDoubleUBlas(vector<vector<Real>> input, int rowSize, int colSize) {
ublas::compressed_matrix<double> output(rowSize, colSize);
for(int i = 0; i < rowSize; ++i) {
for(int j = 0; j < colSize; ++j) {
output(i,j) = input[i][j].value();
//std::cout << input[i][j].value() << ' ';
}
//std::cout << std::endl;
}
return output;
}
ublas::compressed_matrix<double> RealPointerToDoubleUBlasVec(Real* input, int rowSize) {
ublas::compressed_matrix<double> output(rowSize, 1);
for(int i = 0; i < rowSize; ++i) {
for(int j = 0; j < 1; ++j) {
output(i,j) = input[i].value();
//std::cout << input[i][j].value() << ' ';
}
//std::cout << std::endl;
}
return output;
}
ublas::compressed_matrix<double> uBLASNaturalLog(ublas::compressed_matrix<double> input) {
//ublas::compressed_matrix<double> output(rowSize, colSize);
for(int i = 0; i < input.size1(); ++i) {
for(int j = 0; j < input.size2(); ++j) {
input(i,j) = log(input(i,j));
//std::cout << input[i][j].value() << ' ';
}
//std::cout << std::endl;
}
return input;
}
ublas::compressed_matrix<double> uBLASVectorToMatrix(ublas::compressed_matrix<double> input) {
ublas::compressed_matrix<double> output(input.size1(), input.size1());
for(int i = 0; i < input.size1(); ++i) {
output(i,i) = input(i,0);
}
return output;
}
ublas::compressed_matrix<double> InvertDiagonalMatrix(ublas::compressed_matrix<double> input) {
if (input.size1() != input.size2()) {
std::cout << "Your input matrix isnt square";
}
for(int i = 0; i < input.size1(); ++i) {
if (input(i,i) != 0) {
input(i,i) = 1/input(i,i);
}
}
return input;
}
double MaxFractionOverXiLTOne(ublas::compressed_matrix<double> input, ublas::compressed_matrix<double> deltaInput) {
double maxVal = -1.00006; // ensures that if all deltas are 0, we will get a value of 1 for alphaP and alphaD
for(int i = 0; i < input.size1(); ++i) {
for(int j = 0; j < input.size2(); ++j) {
if(deltaInput(i,j) < 0) {
if(maxVal == -1.00006) {
maxVal = input(i,j)/deltaInput(i,j);
}
else {
if(maxVal < input(i,j)/deltaInput(i,j)) {
maxVal = input(i,j)/deltaInput(i,j);
}
}
}
//cout << input(i,j)/deltaInput(i,j) << ' ';
}
}
//cout << '\n' << maxVal << '\n';
return maxVal;
}
void DoubleUBlasVecToRealPointer(ublas::compressed_matrix<double> input, Real* output) {
for(int i = 0; i < input.size1(); ++i) {
for(int j = 0; j < input.size2(); ++j) {
output[i] = input(i,j);
//std::cout << input[i][j].value() << ' ';
}
//std::cout << std::endl;
}
}
void RealPointerAdd(Real* input1, Real* input2, int size) {
for(int i = 0; i < size; ++i) {
input1[i] = input1[i] + input2[i];
//std::cout << input1[i] << std::endl;
}
}
void CreateCuSolverMatrix(ublas::compressed_matrix<double> M, ublas::compressed_matrix<double> dGXdXMatrix, double* cuSolverMatrix) {
int iterator = 0;
for(int i = 0; i < (M.size2() + dGXdXMatrix.size1()); ++i) { // goes through column by column
for(int j = 0; j < (M.size1() + dGXdXMatrix.size1()); ++j) { // goes through row by row
if(i < M.size2()) {
if(j < M.size1()) {
cuSolverMatrix[iterator] = M(j,i); // upper left hand matrix
}
if(j >= M.size1()) {
cuSolverMatrix[iterator] = dGXdXMatrix((j-M.size1()),i); // lower left hand matrix
}
}
if(i >= M.size2()) {
if(j < M.size1()) {
cuSolverMatrix[iterator] = dGXdXMatrix((i-M.size2()),j); // upper right hand matrix NOTE: transposes the input
}
if(j >= M.size1()) {
cuSolverMatrix[iterator] = 0; // lower right hand matrix
}
}
iterator++;
}
//std::cout << std::endl;
}
}
void CreateCuSolverVector(ublas::compressed_matrix<double> N, ublas::compressed_matrix<double> GXuBLAS, double* cuSolverMatrix) {
//N(sizeX,1) uBlas Vec
//GXuBLAS(2*Nb, 1) uBlas Vec
for(int i = 0; i < (N.size1() + GXuBLAS.size1()); ++i) {
if(i < N.size1()){
//std::cout << N(i,0) << ' ';
cuSolverMatrix[i] = N(i,0);
}
else{
cuSolverMatrix[i] = GXuBLAS(i-N.size1(),0);
}
//std::cout << std::endl;
}
}
void CudaVectorToDoubleUBlasVec(double* inputVector, int Vector1Size, ublas::compressed_matrix<double> out1, int Vector2Size,
ublas::compressed_matrix<double> out2) {
for(int i = 0; i < Vector1Size + Vector2Size; ++i) {
if (i < Vector1Size) {
out1(i, 0) = inputVector[i];
//std::cout << out1(i, 0) << ' ';
}
else {
out2(i-Vector1Size, 0) = inputVector[i];
//std::cout << out2(i-Vector1Size, 0) << ' ';
}
}
}
#endif