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il  <html>        <head>        <title>Program 2 Assignment  Page </title>        </head>        <body>        <center><h1> Program 2 Assignment   Page</h1></center><br><hr><p>11/1/96<bR><br><h2>PROGRAM 2a:  DUE Fri.  noon  - part-A only</h2><br><br>This program will consist of several  parts, with part 2a due Fri.<br><br><h3>Part-A:  due 10/25 at Noon</h3><br><blockquote>      You will write three FORTRAN Subroutines:<br>     1   CMPXMP: <blockquote> This procedure accepts four real parametersand returns two real parameters:<br><blockquote>            1) R1IN<br>            2) I1IN<br>            3) R2IN<br>            4) I2IN<br>            5) R3OUT<br>            6) I3OUT<br></blockquote>R1IN and I1IN are the real and imaginary components of a complex number we will call z1.  R2IN and I2IN are likewise component of z2, R3out and I3OUT is the output complex number z3.  CMPXMP will calculate z3=z1 * z2.  This is performed as follows:<br>let z1 be represented as R1+i(I1)or (R1,I1) <br>then z1*z2 = R1*R2-I1*I2 + i(R1*I2+R2*I1) or <br>(  R1*R2-I1*I2, R1*I2+R2*I1 ) <br></blockquote>      2  CMPXAD:<blockquote>This subprogram also accepts 4 real and returns two real parameters.  It will interpret the first two ( as did CMPXMP) parameters as the real and imaginary components of a complex number z1, and the next two as z2 and the last two as z3.  The procedure will do a complex add of z1 to z2 and return their complex sum in z3.  Complex add is defined as follows:let z= R+iIz1+z2 =(R1+R2) +i(I1+I2)<br></blockquote>                 3  CMPXMD: <blockquote><p> This will accept two real input parameters and return one real output parameter.<br>The first two will be the real and imaginary components of a complex number z and the last one will be the return value (a real scalar) which will contain the modulus of z.  Modulus is a way of describing the "size" of a complex number.  It is the distance of the point (R, I) from the the origin of the complex plane (the real, imaginary axes).  It is calculated as:<br>let z=R+iI be a complex number<BR>|z|=modulus(z)= sqrt(R^2 + I^2)                                  </blockquote></blockquote><p>You should carefully document the program source, using the BREAK subroutine one Page 301 of your text as a model.  Your external documentation should consist of three sets, one for each subprogram.  You will have<blockquote>1) a description of the subprogram<br>                     2) the input parameters and their types<br>                     3) the output parameters and their types<br>                     4) and a test PLAN!! <br></blockquote>You will be responsible for writing a driver program to test the subprograms.  This may be done in one program for all the subprograms or you may write separate drivers if you wish.<br><hr><h3>Part-B:  due 11/06/96 at MidNight</h3><br><blockquote>      You will write three FORTRAN Functions and change one of the above Subroutines to a Function:<br><blockquote>1)<blockquote>  Modify CMPXMD to be a REAL function taking two parameters (R1in,I1in).</blockquote>2)<blockquote> <p> Write a REAL function Rvalid(MIN,MAX, PROMPT) that prompts the user with "PROMPT"  (which is a string parameter), then reads a real input, checks that it is greater than min and less than max, if so,returns the real value read, otherwise produces a helpfull error message and repeats the above steps.  MIN, MAX are real parameters, PROMPT is a string.</blockquote>3) <blockquote> <p> Write an INTEGER fuction Ivalid(MIN,MAX, PROMPT).  This function is exactly the same as 2) above,but MIN, MAX and the function are INTEGER.</blockquote>4)<blockquote> <p> Write an INTEGER function ARRGTR(A,N, VALUE) where :<blockquote>REAL A(*)    ///an array of reals </blockquote> <blockquote>INTEGER N     /// the array size</blockquote><blockquote>REAL VALUE    /// a real number to be used as a search argument</blockquote><BR>This function returns the index (subscript) of the first array member that is > VALUE.  If there is no such element, it returns N+1.  That is, ARRGTR returns the subscript I for the first A(I) > VALUE. <BR></blockquote>Only internal documentation is required.  You do need to produce a clear statement of what each function does and provide a clear description of the return value and the input parameters.  You are to provide a driver program to test (I heartily recommend that you produce a test plan, not to be handed in, but to guide you to a complete test of the functions) .  Please hand in as a single script file, sent as message text (^R in compose message).</blockquote><hr><H3><!WA0><a href="http://sac.uky.edu/~risumn0/cs222/mandel.txt">PROGRAM 2C Assignment--Almost finished with Fortran!</a></h3><br>NO  More parts to follow.  We are doing some FUN stuff now!.</body></html>

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