Cs1001 Lecture 2 Programming and problem solving



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CS1001 Lecture 2


Introduction

  • Use computers as a problem solving tool

  • A computer program is a sequence of instructions that must be followed to solve a particular problem.

  • Software engineering is the study and application of programming and problem solving techniques and methodologies



Simple Program Design Process



Problem Statement

  • A nuclear physicist is conducting research with the radioactive element polonium. The half-life of polonium is 140 days, which means that because radioactive decay, the amount of polonium that remains after 140 days is one-half of the original amount. How much polonium will remain after 180 days if 10 milligrams are present initially.

  • What information is given? … which ones are important ?

  • What information must be produced?



Data analysis and organization

  • Specific

  • Input Output

  • Initial amount: 10 mg Amount remaining

  • Half-life: 140 days

  • Time period: 180 days

  • Generalize

  • Input Output

  • Initial amount Amount remaining

  • Half-life

  • Time period



Algorithm Design & Refinement

  • Get values for InitialAmount, HalfLife, and Time

  • Compute the value of AmountRemaining for a given Time

  • Display AmountRemaining

  • AmountRemaining = InitialAmount*(0.5)**(Time/HalfLife)



Coding

  • General form of Fortran program:

    • Heading
    • specification
    • execution
    • subprogram
    • END PROGRAM
  • Documentation

    • Opening documentation
    • http://www.cs.wpi.edu/Help/documentation-standard.html


Coding

  • PROGRAM Radioactive_Decay

  • !--------------------------------------------------------

  • ! This program calculates the amount of a radioactive

  • ! substance that remains after a specified time, given

  • ! an initial amount and its half-life. Variables used are:

  • ! InitalAmount : initial amount of substance (mg)

  • ! HalfLife : half-life of substance (days)

  • ! Time : time at which the amount remaining

  • ! is calculated (days)

  • ! AmountRemaining : amount of substance remaining (mg)

  • !

  • ! Input: InitialAmount, HalfLife, Time

  • ! Output: AmountRemaining

  • !---------------------------------------------------------





Preparing a Program for Execution



Testing

  • Initial test -- the ones that you can calculate easily by hand. E.g.:

    • InitialAmount = 2, HalfLife=140, Time=140. AmountRemaining should = 1.0000000 mg
    • InitialAmount = 4, HalfLife=140, Time=280. AmountRemaining should = 1.0000000 mg.
    • Then InitialAmount = 10, HalfLife=140, Time=180. AmountRemaining= 4.1016769 mg
  • “Once we are confident that the program is correct”

    • what? when? how? how much?


More Realistic Process



A typical testing process for a large program



Program Design Tips

  • This process is often iterative because you may not initially know what all you want to print out, or input.

    • Design a little
    • Code a little
    • Test a little
    • Take a break
    • Repeat until finished


Summary

  • Program solving process, SE process

  • Fortran statements:

    • PROGRAM program_name
    • IMPLICIT NONE
    • REAL:: list_of_real_variables
    • INTEGER:: list_of_integer_variables
    • Comments !
    • Continuation &
    • Operations + - * / **
    • Assignment =
    • Input READ*, input_list_of_variables
    • Output PRINT *, output_list_of variables
    • END PROGRAM program_name


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