- Review the 23 birthdays array problem. Functions, Selection Sort,
Random numbers, Nested Loops, Arrays, the swap() function code. See Week #9,
Friday code.
- Pointers: Chapter 9, Section 9.1:
The Address Of operator.
A variable stores values and has an address.
- The output of the 91.cpp C++ program:
Address Of and
the sizeof() some different variables (short, int, double).
Note: A, B, C, D, E and F are base 16, hexadecimal digits. A = 10 and F = 15.
- Chapter 11: Introduction to the struct concept:
ADTs and the struct.
Polynomial terms. Coefficients and exponents.
struct polyTerm
{
double coef;
int exponent;
};
- On Wednesday, we will create an array of polyTerms, so study
today's handout (from page 606-607 of textbook) and chapter 11 pages
very carefully.
struct polyTerm
{
double coef;
int exponent;
};
int main()
{
const int MAX_TERMS = 8;
polyTerm poly[MAX_TERMS];
int i, numTerms, exp;
double x, value, cf;
cout << "\nHow many terms in your polynomial? ";
cin >> numTerms;
for (i = 0; i < numTerms; i++)
{
cout << "\nEnter the coefficient for term " << i + 1 << ": ";
cin >> cf;
cout << "\nEnter exponent for term " << i + 1 << ": ";
cin >> exp;
poly[i].coef = cf;
poly[i].exponent = exp;
}
cout << "What value of x would you like to evaluate? ";
cin >> x;
...
...
}
- Definition of a polynomial.
POLYNOMIAL definition: (Algebra)
(in one variable)
an expression consisting of
the sum of two or more terms
each of which is the product
of a constant and a variable raised to an integral power:
2
ax + bx + c is a polynomial,
where a, b, and c are constants and x is a variable.
Class example from the C++ code in 321.cpp
2 2 1 0
3x + 1.5x - 121.5 or 3x + 1.5x - 121.5x
The constant is called a coefficient.
The integral power is called an exponent.
Every term has both, except the exponent does not need to be shown
when it is 1 or when it is 0.