Problem 42 : Coded triangle numbers

The n^th term of the sequence of triangle numbers is given by, t_n =½n(n+1); so the first ten triangle numbers are:

1, 3, 6, 10, 15, 21, 28, 36, 45, 55, …

By converting each letter in a word to a number corresponding to its alphabetical position and adding these values we form a word value. For example, the word value for SKY is 19 + 11 + 25 = 55 = t₁₀

Using words.txt (right click and ‘Save Link/Target As…’), a 16K text file containing nearly two-thousand common English words, how many are triangle words?

#include <iostream>
#include <cmath>
#include
 
 <vector>
#include <string>
#include <fstream>
#include <cassert>

using namespace std;

class PE0042
{
private:
    vector<string> m_wordsVector;

    void readAllWordsFromFile(char fileName[]);
    bool checkTriangleNumber(int number);
    int  converteWord2Number(string word)
 
;

public:
    PE0042() { readAllWordsFromFile("p042_words.txt"); }
    int  getNumOfTriangleWords();
};

void PE0042::readAllWordsFromFile(char fileName[])
{
    string allWordsStr;

    ifstream ifp(fileName);

    ifp >> allWordsStr;

    int firstQuotePos = 0;
    string word;

    for(unsigned int pos=0; pos<allWordsStr.size(); pos++)
    {
        if (allWordsStr[pos] == '"') // find Quote
        {
            if (0 == firstQuotePos)
            {
                firstQuotePos = pos + 1;
            }
            else
            {
                // secondQuotePos = pos - 1;
                // count = secondQuotePos-firstQuotePos+1 = pos-firstQuotePos
                word = allWordsStr.substr(firstQuotePos, pos-firstQuotePos);

                m_wordsVector.push_back(word);

                firstQuotePos = 0;
            }
        }
    }

    ifp.close();
}

int PE0042::getNumOfTriangleWords()
{
    int numOfTriangleWords = 0;
    int number;
    
    assert(1 == checkTriangleNumber(55));
    assert(0 == checkTriangleNumber(52));
    assert(55 == converteWord2Number("SKY"));
    
    for (unsigned int i=0; i<m_wordsVector.size(); i++)
    {
        number = converteWord2Number(m_wordsVector[i]);
        if (true == checkTriangleNumber(number))
        {
            numOfTriangleWords ++;
        }
    }

    return  numOfTriangleWords;
}

bool PE0042::checkTriangleNumber(int number)
{
    int n = (int)sqrt((double)number);
    int tn;
    
    while(1)
    {
        tn = n*(n+1)/2;

        if (tn < number)
        {
            n++;
        }
        else
        {
            break;
        }
    }

    if (tn ==  number)
    {
        return true;
    }
    else // tn > number
    {
        return false;
    }
} 

int PE0042::converteWord2Number(string word)
{
    int number = 0;
    
    for (unsigned int i=0; i<word.size(); i++)
    {
        number += word[i]-'A' + 1;
    }
    return number;
}  

int main()
{
    PE0042 pe0042;

    cout << "There are " << pe0042.getNumOfTriangleWords();
    cout << " triangle words in words.txt" << endl;

    return 0;
}