8. Input and Output, 



The input data required by CONFORM to determine the transforma- 

 tion coefficients which conformally map the Laguna Madre, Mexico, to 

 Marsh Island, Louisiana, region into a rectangle are presented here 

 as an example. The first card image gives the continuation code, 

 number of coastline and seaward boundary coordinates, number of coef- 

 ficients desired, maximum number of iterations, number of integration 

 points, and the convergence criterion. The next 47 paired numbers 

 are the coastline coordinates and the last 40 card images give the 

 seaward boundary coordinates. 



Program CONFORM provides detailed and voluminous output concern- 

 ing primarily the rate of convergence. These output statements are 

 not necessary for program completion and can be easily deleted with 

 little alteration to the sequence of instructions. Optional output 

 statements are indicated in the program listing [App, A) by an arrow 

 (-«-) on the right-hand side of the page. 



The results from CONFORM required by Program GRID are B , B , 

 and the coefficients, B and C , These are given in the next 

 section as input to program GRID. 



Reference to Table 4 in Volume I of this report shows the values 

 for the number of coefficients, maximum number of iterations, and 

 number of integration points are only indicative of the final steps 

 of this particular application. Explicitly, in order to obtain the 

 given coefficients to conformally map the Laguna Madre to Marsh Island 

 region into a rectangle in the image plane, the following steps must 

 be followed: 



(1) Set NMAX to 40 and IL to 80 for the first 20 iterations, 



(2) For the next 10 iterations, NMAX is 60 and IL is 120, 



(3) Set NMAX to 80 and IL to 160 for iterations 31 through 

 50. 



C4) Take NMAX as 90 and IL as 180 for the next 10 

 iterations, 



(5) For iterations 61 through 70, NMAX is 100 and IL is 200. 



(6) Over the next 10 iterations, NMAX is 110 and IL is 220. 



(7) Starting with the 81st iteration, WCX and WSX are set 

 to and NMAX is 110 and IL is 220 through the 100th • 

 interation. 



