Programming – Assignment 1 Solution

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You are asked to write a simple program that, as you will see, may not be as simple to write in C as it looks if you want to write robust programs. It will allow you to learn about basic input/output. This program must prompt the user for the name of a first city, then…

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You are asked to write a simple program that, as you will see, may not be as simple to write in C as it looks if you want to write robust programs. It will allow you to learn about basic input/output.

This program must prompt the user for the name of a first city, then its latitude and longitude, then for the name of a second city with its latitude and longitude, then compute the flying distance between the two and display. For example,

The first city: <>

The second city: <>

The distance between <first city> and <second city> is <result> km

Here is the formula for computing the distance (adapted from mathforum.org, provided by

Doctor Rob):

Assume the Earth is a perfect sphere. Let all angles be measured in signed degrees (negative latitude means South, negative longitude means West).

phi = 90 – latitude

The North Pole has phi = 0, the South Pole has phi = 180, and 0 <= phi <= 180.

theta = longitude

Greenwich, England, has theta = 0, and -180 <= theta <= 180.

Let the angles for the two points be (phi1, theta1) and (phi2, theta2). Then compute

c = sin(phi1)*sin(phi2)*cos(theta1-theta2) + cos(phi1)*cos(phi2)

Then the shortest great circle distance between the two points is

d = R*Arccos(c)*Pi/180

where R is the radius of the earth in kilometers, and the arccosine is taken between 0 and 180

degrees, inclusive. Earth radius: 6,371 km

ph

Some cities for testing:

city

latitude

longitude

Shenzhen

22.55

114.1

Beijing

39.9139

116.3917

New York, USA

40.7127

-74.0059

San Francisco, USA

37.7833

-122.4167

London, UK

51.5072

-0.1275

Paris, France

48.8567

2.3508

Kolkata, India

22.567

88.367

Moscow, Russia

55.7500

37.6167

Rio de Janeiro, Brazil

-22.9083

-43.1964

Sydney, Australia

-33.865

151.209444

For checking out if your results are roughly correct:

http://www.worldatlas.com/travelaids/flight_distance.htm

Programming - Assignment 1 Solution
$35.00 $29.00