a. Write a function countBits(int) that counts the number of bits that are 1. For example countBits(9) should return 2 because 9 = 1001 while countBits(16) should return 1 (10000 has one 1-bit).

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Computation
a. Write a function countBits(int) that counts the number of bits that are 1. For example
countBits(9) should return 2 because 9 = 1001 while countBits(16) should return 1
(10000 has one 1-bit).
b. Write a function polynomial that takes an array of double, a length, and x as shown:
double c[] = {3.0, 1.5, 1.0, -2.5);
double y = polynomial(c, 4, 2.0);
should compute the polynomial 3.0x + 1.5x² + 1.0x - 2.5
Note that the efficient way to do this is Horner's form:
((3.0 * x + 1.5) * x+ 1.0) * x - 2.5
You must use a loop, not hardcode it. Your code should work for.
double c[] = {5.0, 1.0, 2.0, 3.5, 5.2};
cout << polynomial(c, 5. 2.2):
c. Given the following 2-dimensional matrix, write loops to print out the sum of every row
then column:
constexpr int rows = 3, cols = 4;
double x[rows][cols)] = {
{1, 2, 3.5},
(2. -1, 1.5}
}:
Your loop should compute 1+2+3.5 = 6.5 and 2-1+1.5 = 2.5 for the two rows, then for the
columns: 1+2 = 3, 2-1 = 1, and 3.5+1.5 = 5.
The output of the program should be:
6.5 2.5
315
d. Write a template function that sums and prints out the arrays in the following main:
int main() {
string a[] = {"yo", "ho"};
int b[] = {1, 2, 3}:
cout << sum(a, 2) << 'n';
cout << sum(b, 3) < 'n';
}
Transcribed Image Text:Computation a. Write a function countBits(int) that counts the number of bits that are 1. For example countBits(9) should return 2 because 9 = 1001 while countBits(16) should return 1 (10000 has one 1-bit). b. Write a function polynomial that takes an array of double, a length, and x as shown: double c[] = {3.0, 1.5, 1.0, -2.5); double y = polynomial(c, 4, 2.0); should compute the polynomial 3.0x + 1.5x² + 1.0x - 2.5 Note that the efficient way to do this is Horner's form: ((3.0 * x + 1.5) * x+ 1.0) * x - 2.5 You must use a loop, not hardcode it. Your code should work for. double c[] = {5.0, 1.0, 2.0, 3.5, 5.2}; cout << polynomial(c, 5. 2.2): c. Given the following 2-dimensional matrix, write loops to print out the sum of every row then column: constexpr int rows = 3, cols = 4; double x[rows][cols)] = { {1, 2, 3.5}, (2. -1, 1.5} }: Your loop should compute 1+2+3.5 = 6.5 and 2-1+1.5 = 2.5 for the two rows, then for the columns: 1+2 = 3, 2-1 = 1, and 3.5+1.5 = 5. The output of the program should be: 6.5 2.5 315 d. Write a template function that sums and prints out the arrays in the following main: int main() { string a[] = {"yo", "ho"}; int b[] = {1, 2, 3}: cout << sum(a, 2) << 'n'; cout << sum(b, 3) < 'n'; }
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