Programming Exercise 2
Decision Making

1. Write a program that performs the following calculations and checks:

 Assume that we specify two points in the place with the declaration double x1,y1, x2,y2; Determine and print

• ...the distance between these points
• ...the slope of the line from the first point to the second
• ...whether both points lie on the same line from the origin
• ...whether the first point is above the second
• ...what quadrant the first point lies in (1st, 2nd, 3rd, or 4th)
• ...whether the two points lie in the same quadrant

2. Write a program that performs the following calculations and checks:

 Assume that specify an interval by a pair of int values (the ones at the beginning and end of the interval in the place with the declaration): 5 and 8 would specify the interval containing the numbers 5, 6, 7, and 8 inclusive. We declare int b1,e1, b2,e2; to represent the beginning and end of two intervals, and int x; so represent some value. Note that we will guarantee that the intervals are "well formed": b1 <= e1 and b2 <= e2.

• Compute and print the number of integer values in an interval beginning with b1 and ending with e1.
• Determine and print whether...
  • ...x is inside the first interval
  • ...x is not inside the first interval
  • ...x is inside the first interval but not the second
  • ...x is inside either the first or second interval (or both)
  • ...x is inside either the first or second interval (but not both)
• Determine and print whether...
  • ...the first interval is the same as the second
  • ...the first interval ends before the second one begins
  • ...the first interval ends on the same value as the second one begins
  • ...the first interval is inside the second one
  • ...the first interval and the second interval overlap (at least one common value)
  • ...the first interval and the second interval do not overlap (no common values)