// Mandatory Header File for Steepest Descent Project for Ma5903

#include <stdio.h>
#include <stdlib.h>
#include <math.h>

// Vector Structure
typedef struct {int n; float *comp;} Vec;

// Prototypes for objective function f and gradient
float 	F(const Vec x);
Vec	GradF(const Vec x);

// Prototype for Wolfe condition test
int 	WolfeTest(
	const Vec x, 
	const float alpha, 
	const Vec p, 
	const float fval, 
	const Vec gradfval,
	float (*F)(const Vec x),
	Vec (*GradF)(const Vec x)
	); 
// Prototype for the steepest descent iterator 
Vec	Iterator(
	const Vec x,
	float (*F)(const Vec x),
	Vec (*GradF)(const Vec x)
	);
	
// Prototype for the convergence control

Vec 	SteepestDescent(
	const Vec X0, 
	const float Tolerance, 
	const int MaxSteps,
	float (*F)(const Vec x),
	Vec (*GradF)(const Vec x)
	);

// Prototype for the Norm
float 	Norm(const Vec x);

// Prototype for Printing
void PrintScalar(Vec *VecList, int n, float (*F)(const Vec x));


// External Parameters!