Just like the previous post that accompanies this one, I have very little memory of doing this work, what it does, or how it turned out. Looks like I have a great time, though =)

## CS 238 Exploration 2 - Slight Progress

This calculates the total payments with the extra payments, but it’s not using the start and end dates for the extra payments (as optional parameters passed into the app).

There’s an earlier post with some code if you’re interested, even though the following is more complete.

``````/****************************************************************
* Program:
*    Exploration 2, Recurrence
*    Brother Neff, CS 238
* Author:
*    Rodrigo Silveira
* Summary:
*    Amortization Program, exploring a practical recurrence relation.
***********************************************************************/
#include <cmath>
#include <cstdlib>
#include <fstream>
#include <iostream>
#include <streambuf>
#include <iomanip>
#include <sstream>
#include <vector>
using namespace std;

#include "properties.h"

/***********************************************************************
* See http://www.drcalculator.com/mortgage/ for one example of an
* online mortgage calculator that works better in many ways.
***********************************************************************/
class Amortize
{
private:
int reducedTerm;
int shorterBy;
float totalPayments;
float extraPayments;
float totalInterest;
float totalSavings;
float interest;

double mPrincipal; // principal (p)

int mTermInMonths; // term in months (n)

double mRate; // annual interest rate (r)

double mPeriodicRate; // periodic (monthly) rate (i)

double mMonthlyPayment; // monthly payment (m)

double mExtraMonthlyPayment; // extra monthly payment (x)

bool mShowAmortizationSchedule; // verbose (v)

int mStart; // extra payment starting month number (s)

int mEnd; // extra payment ending month number (e)

bool mHavePrincipal;

bool mHavePeriodicRate;

bool mHaveTermInMonths;

bool mHaveMonthlyPayment;

/***********************************************************************
* Find p given i, m, n.
***********************************************************************/
void findPrincipal();

/***********************************************************************
* Find i given p, m, n.
***********************************************************************/
void findPeriodicRate();

/***********************************************************************
* Find m given p, i, n.
***********************************************************************/
void findMonthlyPayment();

/***********************************************************************
* Find n given p, i, m.
***********************************************************************/
void findTermInMonths();

/***********************************************************************
* Find all missing parameters.
***********************************************************************/
bool findAll()
{
if (!mHavePrincipal && mHaveMonthlyPayment &&
mHavePeriodicRate && mHaveTermInMonths)
{
findPrincipal();
mHavePrincipal = true;
}
if (!mHavePeriodicRate && mHavePrincipal &&
mHaveMonthlyPayment && mHaveTermInMonths)
{
findPeriodicRate();
mHavePeriodicRate = true;
}
if (!mHaveTermInMonths && mHavePrincipal &&
mHaveMonthlyPayment && mHavePeriodicRate)
{
findTermInMonths();
mHaveTermInMonths = true;
}
if (!mHaveMonthlyPayment && mHavePrincipal &&
mHavePeriodicRate && mHaveTermInMonths)
{
findMonthlyPayment();
mHaveMonthlyPayment = true;
}

return (mHavePrincipal && mHaveMonthlyPayment &&
mHavePeriodicRate && mHaveTermInMonths);
}

bool zeroToBool(int val);
void findTotalPayments();
void printAll();
void printPretty();

public:
Amortize();
void run();
};

// DO NOT CHANGE ANYTHING BELOW THIS LINE!

/****************************************************************
* Main reads command-line argument(s) as follows:
*
*  Name of a file containing parameter settings, or
*  (3 of the following 4 parameters are required)
*
*      p= principal (amount loaned)
*      n= term in months (number of payments)
*      r= annual interest rate (in percent)
*      m= monthly payment amount
*
*      v= (optional) 1 = view amortization schedule
*      x= (optional) extra monthly payment
*      s= (optional) month extra payment starts
*      e= (optional) month extra payment ends (default = n)
****************************************************************/
int main(int argc, char* argv[])
{
//   argc = 2;
//   argv[1] = "C:/Users/Rokko/byui/cs238/exploration2/recurrence/amortize.2";
if (argc <= 1)
{
cout << "Usage: " << argv[0] << " <filename> or <parameters>" << endl;
return 0;
}

if (argc == 2)
{
const char* filename = argv[1];
string data;
ifstream ifs(filename, ios_base::in);

if (ifs)
{
while (true)
{
ifs >> data;

if (ifs.eof() || ifs.fail())
{
break;
}
System.setProperty(data);
}
ifs.close();
}
}
else
{
for (int i = 1; i < argc; i++)
{
string data = argv[i];
System.setProperty(data);
}
}

Amortize().run();

return 0;
}

Amortize::Amortize()
{
mHavePrincipal = System.getProperty("p", "") == "" ? false : true;
mHavePeriodicRate = System.getProperty("r", "") == "" ? false : true;
mHaveTermInMonths = System.getProperty("n", "") == "" ? false : true;
mHaveMonthlyPayment = System.getProperty("m", "") == "" ? false : true;

mPrincipal = mHavePrincipal ?
atof(System.getProperty("p", "").c_str()) : 0;

mTermInMonths = mHaveTermInMonths ?
atoi(System.getProperty("n", "").c_str()) : 0;

mRate = mHavePeriodicRate ?
atof(System.getProperty("r", "").c_str()) : 0;

mMonthlyPayment = mHaveMonthlyPayment ?
atof(System.getProperty("m", "").c_str()) : 0;

mPeriodicRate = mRate / 1200;

mExtraMonthlyPayment = System.getProperty("x", "") == "" ?
0 : atof(System.getProperty("x", "").c_str());

mEnd = System.getProperty("e", "") == "" ?
mTermInMonths : atof(System.getProperty("e", "").c_str());

mStart = System.getProperty("s", "") == "" ?
0 : atof(System.getProperty("s", "").c_str());

reducedTerm = 0;
shorterBy = 0;
totalPayments = 0.0;
extraPayments = 0.0;
totalInterest = 0.0;
totalSavings = 0.0;
interest = 0.0;
}

void Amortize::run()
{
findAll();

//
// since these values will change in findTotalPayments, let's save
// them for now, so we can print these original values later (in printPretty)
//
double tempPrincipal = mPrincipal;
int tempTermInMonths = mTermInMonths;
double tempRate = mRate;
double tempMonthlyPayment = mMonthlyPayment;
double tempPeriodicRate = mPeriodicRate;

findTotalPayments();

mPrincipal = tempPrincipal;
mTermInMonths = tempTermInMonths;
mRate = tempRate;
mMonthlyPayment = tempMonthlyPayment;
mPeriodicRate = tempPeriodicRate;

printPretty();
}

void Amortize::findPrincipal()
{
// I'm updating the principal in ::findTotalPayments...
}

void Amortize::findPeriodicRate()
{
if (zeroToBool(mRate))
{
mPeriodicRate = mRate / 1200;
mHavePeriodicRate = true;
}
}

/**
* c = (rP)/(1-(1+r)^-n)
* r = monthly rate
* P = principal
* n = term (monthly payments)
*/
void Amortize::findMonthlyPayment()
{
mMonthlyPayment = (mPeriodicRate * mPrincipal) / (1 - pow((1 + mPeriodicRate), -mTermInMonths));
}

void Amortize::findTermInMonths()
{
mTermInMonths = -log(
(
(mPrincipal - (mMonthlyPayment / mPeriodicRate)) /
(1 - (mMonthlyPayment / mPeriodicRate))
) /
log(1 + mPeriodicRate)
);
}

/**
* Wrapper function
* Just saves a few keystrokes and repetitive conditionals
*/
bool Amortize::zeroToBool(int val)
{
return val != 0;
}

/**
* Debug function
* Prints all the numbers and stuff...
*/
void Amortize::printAll()
{
cout << "mPrincipal = " << mPrincipal << endl;
cout << "mHavePrincipal = " << mHavePrincipal << endl;

cout << "mTermInMonths = " << mTermInMonths << endl;

cout << "mRate = " << mRate << endl;

cout << "mPeriodicRate = " << mPeriodicRate << endl;

cout << "mMonthlyPayment = " << mMonthlyPayment << endl;

cout << "mExtraMonthlyPayment = " << mExtraMonthlyPayment << endl;

cout << "mShowAmortizationSchedule = " << mShowAmortizationSchedule << endl;

cout << "mStart = " << mStart << endl;

cout << "mEnd = " << mEnd << endl;

cout << "mHavePeriodicRate = " << mHavePeriodicRate << endl;

cout << "mHaveTermInMonths = " << mHaveTermInMonths << endl;

cout << "mHaveMonthlyPayment = " << mHaveMonthlyPayment << endl;
}

void Amortize::printPretty()
{
cout << endl <<
"##############################################" << endl << endl;

cout.precision(2);
cout << setiosflags(ios::fixed) <<
"      Principal: " << mPrincipal << endl <<
"           Term: " << mTermInMonths << " months" << endl;

cout.precision(3);
cout <<
"     Annual Rate " << mRate << "%" << endl;

cout.precision(7);
cout <<
"   Periodic Rate " << mPeriodicRate << endl << endl;

cout.precision(2);
cout << setiosflags(ios::fixed) <<

"Monthly Payment:   " << mMonthlyPayment << endl <<
"  Extra Payment:   " << mExtraMonthlyPayment << endl << endl;

cout << "   Reduced Term: " << reducedTerm << " months (shorter by " <<
shorterBy << " month(s) = " << (int)(shorterBy/12) <<
" year(s) " << shorterBy - ((int)(shorterBy/12) * 12) <<
" month(s))" << endl;

cout << setiosflags(ios::fixed) <<

" Total Payments: " << totalPayments << endl <<
" Extra Payments:  " << extraPayments << endl <<
" Total Interest:  " << totalInterest << endl <<
"  Total Savings:  " << totalSavings << endl <<
"  Intrst/Prncpl:  " << interest << "%" << endl;
}

/**
* This makes monthly payments until the balance goes down to zero.
* This is done by:
*    1. Finding amount due for the month
*    2. Making a monthly payment by first paying towards the interest,
*       then paying the balance against the principal.
*    3. Principal is recuded accordingly.
*
* Known issues:
*    This does not take the extra payment flags into account. The
*    extra payments must start and end on the monts indicated by
*    the [optional] parameters s and e. This implementation
*    makes extra payments from month 0 to end whenever x is
*    present.
*
*    This does not calculate:
*        1. Total Savings
*        2. Intrst/Prncpl
*
* Any questions, contact me at <a href="mailto:rodrixar@gmail.com">rodrixar@gmail.com</a> or txt @ 8015103813
*/
void Amortize::findTotalPayments()
{
int termsPaid = 0;
double totalExtraPayments = 0;
double originalPrincipal = mPrincipal;
bool donePaying = false;

while (!donePaying)
{
findMonthlyPayment();
findPeriodicRate();

double paymentMadeThisMonth = (mMonthlyPayment + mExtraMonthlyPayment) - (mPeriodicRate * mPrincipal);

if (mPrincipal - paymentMadeThisMonth < 0)
{
donePaying = true;
continue;
}

totalPayments += mMonthlyPayment + mExtraMonthlyPayment;
termsPaid++;
totalExtraPayments += mExtraMonthlyPayment;
}

reducedTerm = termsPaid;
shorterBy = mTermInMonths - reducedTerm;
extraPayments = totalExtraPayments;
totalInterest = totalPayments - originalPrincipal;
}
``````

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If you make further progress before this is due, let me know =)