7.9. Chapter Exercises

Fix the errors so it runs and returns the perimeter of a rectangle.

def recPerimeter(length, width): perimeter = 2 * (length + width) Return recPerimeter # Main program result = recPerimeter(2, 4) print(result) ===== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertEqual(result, 12, "Testing that result has the correct value." ) self.assertNotIn("12", self.getEditorText(), "Testing that you didn't hardcode the answer.") myTests().main()

The areaTriangle function below was hard coded so it always uses 5 and 4 for the base and height of a triangle to calculate the area for. Modify the function so that it has parameters for base and height and works to calculate the area of different triangles.

def areaTriangle(): base = 5 height = 4 return (5 * 4) / 2 # Main program. Do not modify lines below print(areaTriangle(5, 4)) print(areaTriangle(6, 3)) ===== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertEqual(self.getOutput().strip(), "10.0\n9.0", "Testing that your program prints the right answers." ) self.assertRegex(self.getEditorText(), r"\nprint\(areaTriangle\(5, 4\)\)\nprint\(areaTriangle\(6, 3\)\)", "Testing that you still have the starter main program") myTests().main()

The mathemetician Newton invented a method to approximate the square root of a number. Take the number N you want the square root for and a guess G and then calculate \(1/2(N/G + G)\). You will get a rough approximation. If you use the answer as a new guess and repeat the process, you will get a closer approximation. You can keep repeating the process to make your approcimation closer and closer to the real value.

Write an approximateSqrt function that takes a number and guess as its parameters and then uses Newton’s formula to estimate the square root of the number.

There is already code provided to use your function to calculate the square root of 150.

# Your code here # Main program. Do not modify lines below number = 150 #number to figure out the square root of guess1 = 10 #initial guess guess2 = approximateSqrt(number, guess1) guess3 = approximateSqrt(number, guess2) guess4 = approximateSqrt(number, guess3) print(guess4) ===== from unittest.gui import TestCaseGui class myTests(TestCaseGui): def testOne(self): self.assertAlmostEqual(guess4, 12.2474489, 3, "Testing that you got the right value for guess4.") self.assertNotRegex(self.getEditorText(), r"12\.24", "Testing that you did not hard code the answer.") myTests().main()

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