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RSGISFunctions.cpp
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/*
* RSGISFunctions.cpp
* RSGIS_LIB
*
* Created by Daniel Clewley on 05/01/2010.
* Copyright 2010 RSGISLib. All rights reserved.
* This file is part of RSGISLib.
*
* RSGISLib is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* RSGISLib is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with RSGISLib. If not, see <http://www.gnu.org/licenses/>.
*
*/
#include "RSGISFunctions.h"
namespace rsgis{namespace math{
RSGISFunctionPolynomial::RSGISFunctionPolynomial(double *coefficients, int order)
{
this->coefficients = coefficients;
this->order = order;
}
double RSGISFunctionPolynomial::calcFunction(double xVal)
{
double yVal = 0;
for(int i = 0; i < order; i++)
{
double xPow = pow(xVal, i); // x^n;
double coeff = coefficients[i]; // a_n
double coeffXPow = coeff * xPow; // a_n * x^n
yVal = yVal + coeffXPow;
}
return yVal;
}
double RSGISFunctionPolynomial::dX(double xVal)
{
double yVal = 0;
for(int i = 0; i < order; i++)
{
double xPow = i * pow(xVal, i - 1); // x^n;
double coeff = coefficients[i]; // a_n
double coeffXPow = coeff * xPow; // a_n * x^n
yVal = yVal + coeffXPow;
}
return yVal;
}
RSGISFunctionPolynomial::~RSGISFunctionPolynomial()
{
}
RSGISFunctionPolynomialGSL::RSGISFunctionPolynomialGSL(gsl_vector *coefficients, int order)
{
this->coefficients = coefficients;
this->order = order;
}
double RSGISFunctionPolynomialGSL::calcFunction(double xVal)
{
double yVal = 0;
for(int i = 0; i < order; i++)
{
double xPow = pow(xVal, i); // x^n;
double coeff = gsl_vector_get(coefficients, i); // a_n
double coeffXPow = coeff * xPow; // a_n * x^n
yVal = yVal + coeffXPow;
}
return yVal;
}
double RSGISFunctionPolynomialGSL::dX(double xVal)
{
double yVal = 0;
for(int i = 0; i < order; i++)
{
double xPow = i * pow(xVal, i - 1); // x^n;
double coeff = gsl_vector_get(coefficients, i); // a_n
double coeffXPow = coeff * xPow; // a_n * x^n
yVal = yVal + coeffXPow;
}
return yVal;
}
void RSGISFunctionPolynomialGSL::updateCoefficents(double *newCoefficents)
{
for(int i = 0; i < order; i++)
{
gsl_vector_set(coefficients, i, newCoefficents[i]);
}
}
RSGISFunctionPolynomialGSL::~RSGISFunctionPolynomialGSL()
{
}
RSGISFunctionLn::RSGISFunctionLn(double coeffA, double coeffB)
{
this->coeffA = coeffA;
this->coeffB = coeffB;
}
double RSGISFunctionLn::calcFunction(double value)
{
return this->coeffA + (this->coeffB * log(value));
}
double RSGISFunctionLn::dX(double value)
{
return this->coeffB / value;
}
RSGISFunctionLn::~RSGISFunctionLn()
{
}
RSGISFunction2VarLn::RSGISFunction2VarLn(double coeffA, double coeffB, double coeffC)
{
this->coeffA = coeffA;
this->coeffB = coeffB;
this->coeffC = coeffC;
}
double RSGISFunction2VarLn::calcFunction(double valueX, double valueY)
{
return this->coeffA + (this->coeffB * valueY) + (this->coeffC * valueY * log(valueX));
}
double RSGISFunction2VarLn::dX(double valueX, double valueY)
{
return (this->coeffC * valueY) / (valueX);
}
double RSGISFunction2VarLn::dY(double valueX, double valueY)
{
return this->coeffB + (this->coeffC * log(valueX));
}
RSGISFunction2VarLn::~RSGISFunction2VarLn()
{
}
RSGISFunctionLinXfLinY::RSGISFunctionLinXfLinY(double coeffB0, double coeffB1, double coeffC0, double coeffC1)
{
this->coeffB0 = coeffB0;
this->coeffB1 = coeffB1;
this->coeffC0 = coeffC0;
this->coeffC1 = coeffC1;
}
double RSGISFunctionLinXfLinY::calcFunction(double valueX, double valueY)
{
double a0 = coeffB0 + (coeffB1 * valueY);
double a1 = coeffC0 + (coeffC1 * valueY);
return a0 + (a1 * valueX);
}
double RSGISFunctionLinXfLinY::dX(double valueX, double valueY)
{
return coeffC0 + (coeffC1 * valueY);
}
double RSGISFunctionLinXfLinY::dY(double valueX, double valueY)
{
return coeffB1 + (coeffC1 * valueX);
}
RSGISFunctionLinXfLinY::~RSGISFunctionLinXfLinY()
{
}
RSGISFunction2VarLnQuadratic::RSGISFunction2VarLnQuadratic(double coeffA, double coeffB, double coeffC)
{
this->coeffA = coeffA;
this->coeffB = coeffB;
this->coeffC = coeffC;
}
double RSGISFunction2VarLnQuadratic::calcFunction(double valueX, double valueY)
{
return this->coeffA + (this->coeffB * log(valueX)) + (this->coeffC * valueY * log(valueX * valueX));
}
double RSGISFunction2VarLnQuadratic::dX(double valueX, double valueY)
{
return (this->coeffC * valueY) / (valueX);
}
double RSGISFunction2VarLnQuadratic::dY(double valueX, double valueY)
{
return this->coeffB + (this->coeffC * log(valueX));
}
RSGISFunction2VarLnQuadratic::~RSGISFunction2VarLnQuadratic()
{
}
RSGISFunction2Var2DataLeastSquares::RSGISFunction2Var2DataLeastSquares(RSGISMathTwoVariableFunction *functionA, RSGISMathTwoVariableFunction *functionB, double dataA, double dataB)
{
this->functionA = functionA;
this->functionB = functionB;
this->dataA = dataA;
this->dataB = dataB;
}
double RSGISFunction2Var2DataLeastSquares::calcFunction(double valueX, double valueY)
{
double diffA = dataA - functionA->calcFunction(valueX, valueY);
double diffB = dataB - functionB->calcFunction(valueX, valueY);
double returnVal = (pow(diffA, 2) + pow(diffB, 2));
if(returnVal < 0)
{
std::cout << "ERROR - but continuing!" << std::endl;
}
return returnVal;
}
RSGISFunction2Var2DataLeastSquares::~RSGISFunction2Var2DataLeastSquares()
{
}
RSGISFunction2Var3DataLeastSquares::RSGISFunction2Var3DataLeastSquares(RSGISMathTwoVariableFunction *functionA, RSGISMathTwoVariableFunction *functionB, RSGISMathTwoVariableFunction *functionC, double dataA, double dataB, double dataC)
{
this->functionA = functionA;
this->functionB = functionB;
this->functionC = functionC;
this->dataA = dataA;
this->dataB = dataB;
this->dataC = dataC;
}
double RSGISFunction2Var3DataLeastSquares::calcFunction(double valueX, double valueY)
{
double diffA = dataA - functionA->calcFunction(valueX, valueY);
double diffB = dataB - functionB->calcFunction(valueX, valueY);
double diffC = dataC - functionC->calcFunction(valueX, valueY);
return pow(diffA, 2) + pow(diffB, 2) + pow(diffC, 2);
}
RSGISFunction2Var3DataLeastSquares::~RSGISFunction2Var3DataLeastSquares()
{
}
RSGISFunction2Var2DataPreconditionedLeastSquares::RSGISFunction2Var2DataPreconditionedLeastSquares(RSGISMathTwoVariableFunction *functionA, RSGISMathTwoVariableFunction *functionB,
double dataA, double dataB, double apX1, double apX2, gsl_matrix *invCovMatrixP, gsl_matrix *invCovMatrixD)
{
this->functionA = functionA;
this->functionB = functionB;
this->dataA = dataA;
this->dataB = dataB;
this->apX1 = apX1;
this->apX2 = apX2;
this->invCovMatrixD = invCovMatrixD;
this->invCovMatrixP = invCovMatrixP;
this->deltaD = gsl_vector_alloc(2);
this->deltaX = gsl_vector_alloc(2);
this->tempA = gsl_vector_alloc(2);
this->useAP = true;
if ((gsl_matrix_get(invCovMatrixP, 0, 0) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 1, 1) < 1e-8))
{
this->useAP = false;
}
}
double RSGISFunction2Var2DataPreconditionedLeastSquares::calcFunction(double valueX, double valueY)
{
/** L(X) = 1/2 { || f(X) - d0 || ^2 + || X - Xap || ^2 } */
RSGISMatrices matrixUtils;
RSGISVectors vectorUtils;
// || f(X) - d0 || ^2
double diffD1 = dataA - functionA->calcFunction(valueX, valueY);
double diffD2 = dataB - functionB->calcFunction(valueX, valueY);
gsl_vector_set(deltaD, 0, diffD1);
gsl_vector_set(deltaD, 1, diffD2);
matrixUtils.productMatrixVectorGSL(invCovMatrixD, deltaD, tempA);
double diffD = vectorUtils.dotProductVectorVectorGSL(tempA, deltaD);
// || X - Xap || ^2
double diffX = 0;
if (useAP)
{
double diffX1 = valueX - apX1;
double diffX2 = valueY - apX2;
gsl_vector_set(deltaX, 0, diffX1);
gsl_vector_set(deltaX, 1, diffX2);
matrixUtils.productMatrixVectorGSL(invCovMatrixP, deltaX, tempA);
diffX = vectorUtils.dotProductVectorVectorGSL(tempA, deltaX);
}
return (diffD + diffX) / 2;
}
RSGISFunction2Var2DataPreconditionedLeastSquares::~RSGISFunction2Var2DataPreconditionedLeastSquares()
{
gsl_vector_free(deltaD);
gsl_vector_free(deltaX);
gsl_vector_free(tempA);
}
RSGISFunction2Var3DataPreconditionedLeastSquares::RSGISFunction2Var3DataPreconditionedLeastSquares(RSGISMathTwoVariableFunction *functionA, RSGISMathTwoVariableFunction *functionB, RSGISMathTwoVariableFunction *functionC,
double dataA, double dataB, double dataC, double apX1, double apX2, gsl_matrix *invCovMatrixP, gsl_matrix *invCovMatrixD)
{
this->functionA = functionA;
this->functionB = functionB;
this->functionC = functionC;
this->dataA = dataA;
this->dataB = dataB;
this->dataC = dataC;
this->apX1 = apX1;
this->apX2 = apX2;
this->invCovMatrixD = invCovMatrixD;
this->invCovMatrixP = invCovMatrixP;
this->deltaD = gsl_vector_alloc(3);
this->deltaX = gsl_vector_alloc(2);
this->tempA = gsl_vector_alloc(2);
this->tempB = gsl_vector_alloc(3);
this->useAP = true;
if ((gsl_matrix_get(invCovMatrixP, 0, 0) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 1, 1) < 1e-8))
{
this->useAP = false;
}
}
double RSGISFunction2Var3DataPreconditionedLeastSquares::calcFunction(double valueX, double valueY)
{
/** L(X) = 1/2 { || f(X) - d0 || ^2 + || X - Xap || ^2 } */
RSGISMatrices matrixUtils;
RSGISVectors vectorUtils;
// || f(X) - d0 || ^2
double diffD1 = dataA - functionA->calcFunction(valueX, valueY);
double diffD2 = dataB - functionB->calcFunction(valueX, valueY);
double diffD3 = dataC - functionC->calcFunction(valueX, valueY);
gsl_vector_set(deltaD, 0, diffD1);
gsl_vector_set(deltaD, 1, diffD2);
gsl_vector_set(deltaD, 2, diffD3);
matrixUtils.productMatrixVectorGSL(invCovMatrixD, deltaD, tempB);
double diffD = vectorUtils.dotProductVectorVectorGSL(tempB, deltaD);
// || X - Xap || ^2
double diffX = 0;
if (useAP)
{
double diffX1 = valueX - apX1;
double diffX2 = valueY - apX2;
gsl_vector_set(deltaX, 0, diffX1);
gsl_vector_set(deltaX, 1, diffX2);
matrixUtils.productMatrixVectorGSL(invCovMatrixP, deltaX, tempA);
diffX = vectorUtils.dotProductVectorVectorGSL(tempA, deltaX);
}
double returnVal = (diffD + diffX) / 2.0;
if(returnVal < 0)
{
std::cout << "Negative!" << std::endl;
returnVal = 999999;
}
return returnVal;
}
RSGISFunction2Var3DataPreconditionedLeastSquares::~RSGISFunction2Var3DataPreconditionedLeastSquares()
{
gsl_vector_free(deltaD);
gsl_vector_free(deltaX);
gsl_vector_free(tempA);
gsl_vector_free(tempB);
}
RSGISFunction3Var3DataPreconditionedLeastSquares::RSGISFunction3Var3DataPreconditionedLeastSquares(RSGISMathThreeVariableFunction *functionA, RSGISMathThreeVariableFunction *functionB, RSGISMathThreeVariableFunction *functionC,
double dataA, double dataB, double dataC, double apX1, double apX2, double apX3, gsl_matrix *invCovMatrixP, gsl_matrix *invCovMatrixD)
{
this->functionA = functionA;
this->functionB = functionB;
this->functionC = functionC;
this->dataA = dataA;
this->dataB = dataB;
this->dataC = dataC;
this->apX1 = apX1;
this->apX2 = apX2;
this->apX3 = apX3;
this->invCovMatrixD = invCovMatrixD;
this->invCovMatrixP = invCovMatrixP;
this->deltaD = gsl_vector_alloc(3);
this->deltaX = gsl_vector_alloc(3);
this->tempA = gsl_vector_alloc(3);
this->tempB = gsl_vector_alloc(3);
this->useAP = true;
if ((gsl_matrix_get(invCovMatrixP, 0, 0) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 1, 1) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 2, 2) < 1e-8))
{
this->useAP = false;
}
}
double RSGISFunction3Var3DataPreconditionedLeastSquares::calcFunction(double valueX, double valueY, double valueZ)
{
/** L(X) = 1/2 { || f(X) - d0 || ^2 + || X - Xap || ^2 } */
RSGISMatrices matrixUtils;
RSGISVectors vectorUtils;
// || f(X) - d0 || ^2
double diffD1 = dataA - functionA->calcFunction(valueX, valueY, valueZ);
double diffD2 = dataB - functionB->calcFunction(valueX, valueY, valueZ);
double diffD3 = dataC - functionC->calcFunction(valueX, valueY, valueZ);
gsl_vector_set(deltaD, 0, diffD1);
gsl_vector_set(deltaD, 1, diffD2);
gsl_vector_set(deltaD, 2, diffD3);
matrixUtils.productMatrixVectorGSL(invCovMatrixD, deltaD, tempB);
double diffD = vectorUtils.dotProductVectorVectorGSL(tempB, deltaD);
// || X - Xap || ^2
double diffX = 0;
if (this->useAP)
{
double diffX1 = valueX - apX1;
double diffX2 = valueY - apX2;
double diffX3 = valueZ - apX3;
gsl_vector_set(deltaX, 0, diffX1);
gsl_vector_set(deltaX, 1, diffX2);
gsl_vector_set(deltaX, 2, diffX3);
matrixUtils.productMatrixVectorGSL(invCovMatrixP, deltaX, tempA);
diffX = vectorUtils.dotProductVectorVectorGSL(tempA, deltaX);
}
return (diffD + diffX) / 2;
}
RSGISFunction3Var3DataPreconditionedLeastSquares::~RSGISFunction3Var3DataPreconditionedLeastSquares()
{
gsl_vector_free(deltaD);
gsl_vector_free(deltaX);
gsl_vector_free(tempA);
gsl_vector_free(tempB);
}
RSGISFunction3Var4DataPreconditionedLeastSquares::RSGISFunction3Var4DataPreconditionedLeastSquares(RSGISMathThreeVariableFunction *functionA, RSGISMathThreeVariableFunction *functionB, RSGISMathThreeVariableFunction *functionC, RSGISMathThreeVariableFunction *functionD,
double dataA, double dataB, double dataC, double dataD, double apX1, double apX2, double apX3, gsl_matrix *invCovMatrixP, gsl_matrix *invCovMatrixD)
{
this->functionA = functionA;
this->functionB = functionB;
this->functionC = functionC;
this->functionD = functionD;
this->dataA = dataA;
this->dataB = dataB;
this->dataC = dataC;
this->dataD = dataD;
this->apX1 = apX1;
this->apX2 = apX2;
this->apX3 = apX3;
this->invCovMatrixD = invCovMatrixD;
this->invCovMatrixP = invCovMatrixP;
this->deltaD = gsl_vector_alloc(4);
this->deltaX = gsl_vector_alloc(3);
this->tempA = gsl_vector_alloc(3);
this->tempB = gsl_vector_alloc(4);
this->useAP = true;
if ((gsl_matrix_get(invCovMatrixP, 0, 0) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 1, 1) < 1e-8) && (gsl_matrix_get(invCovMatrixP, 2, 2) < 1e-8))
{
this->useAP = false;
}
}
double RSGISFunction3Var4DataPreconditionedLeastSquares::calcFunction(double valueX, double valueY, double valueZ)
{
/** L(X) = 1/2 { || f(X) - d0 || ^2 + || X - Xap || ^2 } */
RSGISMatrices matrixUtils;
RSGISVectors vectorUtils;
// || f(X) - d0 || ^2
double diffD1 = dataA - functionA->calcFunction(valueX, valueY, valueZ);
double diffD2 = dataB - functionB->calcFunction(valueX, valueY, valueZ);
double diffD3 = dataC - functionC->calcFunction(valueX, valueY, valueZ);
double diffD4 = dataD - functionD->calcFunction(valueX, valueY, valueZ);
gsl_vector_set(deltaD, 0, diffD1);
gsl_vector_set(deltaD, 1, diffD2);
gsl_vector_set(deltaD, 2, diffD3);
gsl_vector_set(deltaD, 3, diffD4);
matrixUtils.productMatrixVectorGSL(invCovMatrixD, deltaD, tempB);
double diffD = vectorUtils.dotProductVectorVectorGSL(tempB, deltaD);
// || X - Xap || ^2
double diffX = 0;
if (this->useAP)
{
double diffX1 = valueX - apX1;
double diffX2 = valueY - apX2;
double diffX3 = valueZ - apX3;
gsl_vector_set(deltaX, 0, diffX1);
gsl_vector_set(deltaX, 1, diffX2);
gsl_vector_set(deltaX, 2, diffX3);
matrixUtils.productMatrixVectorGSL(invCovMatrixP, deltaX, tempA);
diffX = vectorUtils.dotProductVectorVectorGSL(tempA, deltaX);
}
return (diffD + diffX) / 2;
}
RSGISFunction3Var4DataPreconditionedLeastSquares::~RSGISFunction3Var4DataPreconditionedLeastSquares()
{
gsl_vector_free(deltaD);
gsl_vector_free(deltaX);
gsl_vector_free(tempA);
gsl_vector_free(tempB);
}
RSGISFunctionEstimationLeastSquares::RSGISFunctionEstimationLeastSquares(RSGISMathTwoVariableFunction *functionA, RSGISMathTwoVariableFunction *functionB, double dataA, double dataB)
{
this->functionA = functionA;
this->functionB = functionB;
this->dataA = dataA;
this->dataB = dataB;
}
double RSGISFunctionEstimationLeastSquares::calcFunction(double valueX, double valueY)
{
double fHH = functionA->calcFunction(valueX, valueY);
double fHV = functionB->calcFunction(valueX, valueY);
if(fHH > 0)
{
return 1e10;
}
if (fHV > 0)
{
return 1e10;
}
double diffA = dataA - fHH;
double diffB = dataB - fHV;
return (pow(diffA, 2) + pow(diffB, 2));
}
RSGISFunctionEstimationLeastSquares::~RSGISFunctionEstimationLeastSquares()
{
}
RSGISFunction2DPoly::RSGISFunction2DPoly(gsl_matrix *inCoefficients)
{
this->coefficients = gsl_matrix_alloc(inCoefficients->size1, inCoefficients->size2);
gsl_matrix_memcpy(this->coefficients, inCoefficients);
this->orderX = coefficients->size1; // Get polynomial order
this->orderY = coefficients->size2 - 1; // Get polynomial order
}
double RSGISFunction2DPoly::calcFunction(double valueX, double valueY)
{
double outVal = 0.0;
for(int x = 0; x < orderX; x ++)
{
double xPow = pow(valueX, x); // x^n;
double aCoeff = 0.0;
for(int y = 0; y < orderY; y++) // Calculate a_n(density)
{
double yPow = pow(valueY,y); // y^n;
double bcoeff = gsl_matrix_get(coefficients, x, y); // b_n
aCoeff = aCoeff + (bcoeff * yPow);
}
double acoeffXPow = xPow * aCoeff;
outVal = outVal + acoeffXPow;
}
return outVal;
}
double RSGISFunction2DPoly::dX(double valueX, double valueY)
{
double outValdX = 0.0;
for(int x = 0; x < orderX; x ++)
{
double dxPow = x * pow(valueX, x - 1); // n.x^(n-1);
double aCoeff = 0.0;
for(int y = 0; y < orderY; y++) //
{
double yPow = pow(valueY, y); // y^n;
double bcoeff = gsl_matrix_get(coefficients, x, y); // b_n
aCoeff = aCoeff + (bcoeff * yPow);
}
double acoeffXPowF = dxPow * aCoeff; // d(f_nl)/ dx (partial derivative with respect to x)
outValdX = outValdX + acoeffXPowF;
}
return outValdX;
}
double RSGISFunction2DPoly::dY(double valueX, double valueY)
{
double outValdY = 0.0;
for(int x = 0; x < orderX; x ++)
{
double xPow = pow(valueX, x); // x^n;
double aCoeffF = 0.0;
for(int y = 0; y < orderY; y++) // Calculate a_n(y)
{
double dyPow = y * pow(valueY, y - 1); // n * y^(n-1)
double bcoeff = gsl_matrix_get(coefficients, x, y); // b_n
aCoeffF = aCoeffF + (bcoeff * dyPow);
}
outValdY = xPow * aCoeffF; // d(f_nl)/ dy (partial derivative with respect to density)
}
return outValdY;
}
RSGISFunction2DPoly::~RSGISFunction2DPoly()
{
gsl_matrix_free(this->coefficients);
}
RSGISFunction3DPoly::RSGISFunction3DPoly(gsl_matrix *inCoefficients, int orderX, int orderY, int orderZ)
{
this->coefficients = gsl_matrix_alloc(inCoefficients->size1, inCoefficients->size2);
gsl_matrix_memcpy(this->coefficients, inCoefficients);
this->orderX = orderX;
this->orderY = orderY;
this->orderZ = orderZ;
}
double RSGISFunction3DPoly::calcFunction(double valueX, double valueY, double valueZ)
{
double outVal = 0.0;
double aCoeffPowX = 0.0;
double bcoeffPowY = 0;
double cCoeffPowZ = 0;
double zPow = 0;
double cCoeff = 0;
double yPow = 0;
double xPow = 0;
unsigned int c = 0;
for(int x = 0; x < orderX; x ++)
{
bcoeffPowY = 0.0;
for(int y = 0; y < orderY; y++)
{
cCoeffPowZ = 0.0;
for(int z = 0; z < orderZ; z++)
{
zPow = pow(valueZ, z); // z^n;
//cCoeff = gsl_matrix_get(coefficients, y + (x * orderX), z);
cCoeff = gsl_matrix_get(coefficients, c, z);
cCoeffPowZ = cCoeffPowZ + (cCoeff * zPow);
}
yPow = pow(valueY, y); // y^n;
bcoeffPowY = bcoeffPowY + (cCoeffPowZ * yPow); // c_n * y^n
c++;
}
xPow = pow(valueX, x); // dielectric^n;
aCoeffPowX = aCoeffPowX + (bcoeffPowY * xPow);
}
outVal = aCoeffPowX;
return outVal;
}
double RSGISFunction3DPoly::dX(double valueX, double valueY, double valueZ)
{
double outValdX = 0.0;
double aCoeffPowX = 0.0;
double aCoeffPowXdX = 0.0;
double aCoeffPowXdY = 0.0;
double aCoeffPowXdZ = 0.0;
double bcoeffPowY = 0;
double bcoeffPowYdY = 0;
double bcoeffPowYdZ = 0;
double cCoeffPowZ = 0;
double cCoeffPowZdZ = 0;
double zPow = 0;
double dzPow = 0;
double cCoeff = 0;
double yPow = 0;
double dyPow = 0;
double xPow = 0;
double dxPow = 0;
unsigned int c = 0;
for(int x = 0; x < orderX; x ++)
{
bcoeffPowY = 0.0;
bcoeffPowYdY = 0.0;
bcoeffPowYdZ = 0.0;
for(int y = 0; y < orderY; y++)
{
cCoeffPowZ = 0.0;
cCoeffPowZdZ = 0.0;
for(int z = 0; z < orderZ; z++)
{
zPow = pow(valueZ, z); // z^n;
dzPow = z*pow(valueZ, z-1); // n * z^(n -1)
cCoeff = gsl_matrix_get(coefficients, c, z);
cCoeffPowZ = cCoeffPowZ + (cCoeff * zPow);
cCoeffPowZdZ = cCoeffPowZdZ + (cCoeff * dzPow);
}
yPow = pow(valueY, y); // y^n;
dyPow = y*pow(valueY, y-1); // n * y^(n -1);
bcoeffPowY = bcoeffPowY + (cCoeffPowZ * yPow); // c_n * y^n
bcoeffPowYdY = bcoeffPowYdY + (cCoeffPowZ * dyPow); // n * c_n * y^(n-1)
bcoeffPowYdZ = bcoeffPowYdZ + (cCoeffPowZdZ * yPow);
c++;
}
xPow = pow(valueX, x); // dielectric^n;
dxPow = x*pow(valueX, x-1); // n * dielectric^(n -1);
aCoeffPowX = aCoeffPowX + (bcoeffPowY * xPow);
aCoeffPowXdX = aCoeffPowXdX + (bcoeffPowY * dxPow);
aCoeffPowXdY = aCoeffPowXdY + (bcoeffPowYdY * xPow);
aCoeffPowXdZ = aCoeffPowXdZ + (bcoeffPowYdZ * xPow);
}
outValdX = aCoeffPowXdX;
return outValdX;
}
double RSGISFunction3DPoly::dY(double valueX, double valueY, double valueZ)
{
double outValdY = 0.0;
double aCoeffPowX = 0.0;
double aCoeffPowXdX = 0.0;
double aCoeffPowXdY = 0.0;
double aCoeffPowXdZ = 0.0;
double bcoeffPowY = 0;
double bcoeffPowYdY = 0;
double bcoeffPowYdZ = 0;
double cCoeffPowZ = 0;
double cCoeffPowZdZ = 0;
double zPow = 0;
double dzPow = 0;
double cCoeff = 0;
double yPow = 0;
double dyPow = 0;
double xPow = 0;
double dxPow = 0;
unsigned int c = 0;
for(int x = 0; x < orderX; x ++)
{
bcoeffPowY = 0.0;
bcoeffPowYdY = 0.0;
bcoeffPowYdZ = 0.0;
for(int y = 0; y < orderY; y++)
{
cCoeffPowZ = 0.0;
cCoeffPowZdZ = 0.0;
for(int z = 0; z < orderZ; z++)
{
zPow = pow(valueZ, z); // z^n;
dzPow = z*pow(valueZ, z-1); // n * z^(n -1)
cCoeff = gsl_matrix_get(coefficients,c, z);
cCoeffPowZ = cCoeffPowZ + (cCoeff * zPow);
cCoeffPowZdZ = cCoeffPowZdZ + (cCoeff * dzPow);
}
yPow = pow(valueY, y); // y^n;
dyPow = y*pow(valueY, y-1); // n * y^(n -1);
bcoeffPowY = bcoeffPowY + (cCoeffPowZ * yPow); // c_n * y^n
bcoeffPowYdY = bcoeffPowYdY + (cCoeffPowZ * dyPow); // n * c_n * y^(n-1)
bcoeffPowYdZ = bcoeffPowYdZ + (cCoeffPowZdZ * yPow);
c++;
}
xPow = pow(valueX, x); // dielectric^n;
dxPow = x*pow(valueX, x-1); // n * dielectric^(n -1);
aCoeffPowX = aCoeffPowX + (bcoeffPowY * xPow);
aCoeffPowXdX = aCoeffPowXdX + (bcoeffPowY * dxPow);
aCoeffPowXdY = aCoeffPowXdY + (bcoeffPowYdY * xPow);
aCoeffPowXdZ = aCoeffPowXdZ + (bcoeffPowYdZ * xPow);
}
outValdY = aCoeffPowXdY;
return outValdY;
}
double RSGISFunction3DPoly::dZ(double valueX, double valueY, double valueZ)
{
double outValdZ = 0.0;
double aCoeffPowX = 0.0;
double aCoeffPowXdX = 0.0;
double aCoeffPowXdY = 0.0;
double aCoeffPowXdZ = 0.0;
double bcoeffPowY = 0;
double bcoeffPowYdY = 0;
double bcoeffPowYdZ = 0;
double cCoeffPowZ = 0;
double cCoeffPowZdZ = 0;
double zPow = 0;
double dzPow = 0;
double cCoeff = 0;
double yPow = 0;
double dyPow = 0;
double xPow = 0;
double dxPow = 0;
unsigned int c = 0;
for(int x = 0; x < orderX; x ++)
{
bcoeffPowY = 0.0;
bcoeffPowYdY = 0.0;
bcoeffPowYdZ = 0.0;
for(int y = 0; y < orderY; y++)
{
cCoeffPowZ = 0.0;
cCoeffPowZdZ = 0.0;
for(int z = 0; z < orderZ; z++)
{
zPow = pow(valueZ, z); // z^n;
dzPow = z*pow(valueZ, z-1); // n * z^(n -1)
cCoeff = gsl_matrix_get(coefficients, c, z);
cCoeffPowZ = cCoeffPowZ + (cCoeff * zPow);
cCoeffPowZdZ = cCoeffPowZdZ + (cCoeff * dzPow);
}
yPow = pow(valueY, y); // y^n;
dyPow = y*pow(valueY, y-1); // n * y^(n -1);
bcoeffPowY = bcoeffPowY + (cCoeffPowZ * yPow); // c_n * y^n
bcoeffPowYdY = bcoeffPowYdY + (cCoeffPowZ * dyPow); // n * c_n * y^(n-1)
bcoeffPowYdZ = bcoeffPowYdZ + (cCoeffPowZdZ * yPow);
c++;
}
xPow = pow(valueX, x); // dielectric^n;
dxPow = x*pow(valueX, x-1); // n * dielectric^(n -1);
aCoeffPowX = aCoeffPowX + (bcoeffPowY * xPow);
aCoeffPowXdX = aCoeffPowXdX + (bcoeffPowY * dxPow);
aCoeffPowXdY = aCoeffPowXdY + (bcoeffPowYdY * xPow);
aCoeffPowXdZ = aCoeffPowXdZ + (bcoeffPowYdZ * xPow);
}
outValdZ = aCoeffPowXdZ;
return outValdZ;
}
RSGISFunction3DPoly::~RSGISFunction3DPoly()
{
gsl_matrix_free(this->coefficients);
}
RSGISFunctionNDPoly::RSGISFunctionNDPoly(gsl_matrix *inCoefficients, std::vector<int> *polyOrders)
{
this->coefficients = gsl_matrix_alloc(inCoefficients->size1, inCoefficients->size2);
gsl_matrix_memcpy(this->coefficients, inCoefficients);
this->polyOrders = polyOrders;
this->numVar = polyOrders->size();
}
double RSGISFunctionNDPoly::calcFunction(std::vector<double> *values)
{
double outVal = 0.0;
if(values->size() != this->numVar)
{
throw RSGISMathException("Number of values not equal to number of variables coefficients provided for");
}
double aCoeffPowX = 0.0;
double bcoeffPowY = 0;
double cCoeffPowZ = 0;
double zPow = 0;
double cCoeff = 0;
double yPow = 0;
double xPow = 0;
if (this->numVar == 2)
{
for(int x = 0; x < this->polyOrders->at(0); x ++)
{
double xPow = pow(values->at(0), x); // x^n;
double aCoeff = 0.0;
for(int y = 0; y < this->polyOrders->at(1); y++) // Calculate a_n(density)
{
double yPow = pow(values->at(1),y); // y^n;
double bcoeff = gsl_matrix_get(coefficients, x, y); // b_n
aCoeff = aCoeff + (bcoeff * yPow);
}
double acoeffXPow = xPow * aCoeff;
outVal = outVal + acoeffXPow;
}
}
else if(this->numVar == 3)
{
unsigned int c = 0;
for(int x = 0; x < this->polyOrders->at(0); x ++)
{
bcoeffPowY = 0.0;
for(int y = 0; y < this->polyOrders->at(1); y++)
{
cCoeffPowZ = 0.0;
for(int z = 0; z < this->polyOrders->at(2); z++)
{
zPow = pow(values->at(2), z); // z^n;
//cCoeff = gsl_matrix_get(coefficients, y + (x * this->polyOrders->at(0)), z);
cCoeff = gsl_matrix_get(coefficients, c, z);
cCoeffPowZ = cCoeffPowZ + (cCoeff * zPow);
}
yPow = pow(values->at(1), y); // y^n;
bcoeffPowY = bcoeffPowY + (cCoeffPowZ * yPow); // c_n * y^n
c++;
}
xPow = pow(values->at(0), x); // dielectric^n;
aCoeffPowX = aCoeffPowX + (bcoeffPowY * xPow);
}
outVal = aCoeffPowX;
}
else
{
throw RSGISMathException("Currently no implamentation for specified number of values");
}
return outVal;
}
int RSGISFunctionNDPoly::numCoefficients()
{
return 1;
}
int RSGISFunctionNDPoly::numVariables()
{
return this->numVar;
}
RSGISFunctionNDPoly::~RSGISFunctionNDPoly()
{
gsl_matrix_free(this->coefficients);
}
double RSGISFunctionRosenbrocksParabolicValley::calcFunction(double valueX, double valueY)
{
return (100*pow(valueY - (valueX*valueX),2)) + pow(1 - valueX,2);
}
RSGISFunctionMuParser::RSGISFunctionMuParser(std::string fxExpression, std::string varName, std::string dxExpression, bool usedX)
{
unsigned int nVar = 1;
this->usedX = usedX;
this->muParserfX = new mu::Parser();
this->muParserdX = new mu::Parser();
this->inVals = new mu::value_type[nVar];
this->muParserfX->DefineVar(_T(varName.c_str()), &inVals[0]);
this->muParserfX->SetExpr(fxExpression.c_str());
if (usedX)
{
this->muParserdX->DefineVar(_T(varName.c_str()), &inVals[0]);
this->muParserdX->SetExpr(dxExpression.c_str());
}
}
double RSGISFunctionMuParser::calcFunction(double value)
{
double outVal = 0;
try
{
inVals[0] = value;
outVal = this->muParserfX->Eval();
}
catch (mu::ParserError &e) // Catch muParser error
{
std::string message = std::string("ERROR: ") + std::string(e.GetMsg()) + std::string(":\t \'") + std::string(e.GetExpr()) + std::string("\'");
throw RSGISMathException(message);
}
return outVal;
}
double RSGISFunctionMuParser::dX(double value)