PROGRAM FILE 134: KOMOLGOROV-SMIRNOV UNIFORMITY TEST FOR                        
        RND FUNCTION.                                                           
    ANSI STANDARD 8.4                                                           
                                                                                
SECTION 134.1: KOMOLGOROV-SMIRNOV UNIFORMITY TEST FOR                           
        RND FUNCTION.                                                           
                                                                                
THIS PROGRAM RUNS 30 TESTS OF 1000 SAMPLES EACH TO CHECK                        
UNIFORMITY OF DISTRIBUTION OF RANDOM NUMBERS. KOMOLGOROV-                       
SMIRNOV (K-S) STATISTICS (K+ AND K-) ARE GENERATED FOR                          
EACH TEST. THESE TWO NUMBERS ARE A MEASURE OF THE GREATEST                      
DEVIATION, IN THE POSITIVE AND NEGATIVE DIRECTION, OF THE                       
ACCUMULATION OF THE 1000 NUMBERS FROM THE IDEAL DISTRIBUTION                    
OF F(X)=X, 0<=X<1.                                                              
                                                                                
THESE TWO SETS (K+ AND K-) OF 30 STATISTICS THEMSELVES HAVE                     
AN EXPECTED DISTRIBUTION OF F(X) = 1 - EXP(-2*X*X). THE                         
K-S TEST IS RUN AGAIN ON EACH OF THESE TWO SETS, AND IF                         
THE DEVIATION IS TOO GREAT (TOP OR BOTTOM 1%) FOR ANY ONE                       
OF THE RESULTING STATISTICS, THEN THE TEST FAILS.                               
                                                                                
                 BEGIN TEST                                                     
                                                                                
                                                                                
TEST           K+             K-                                                
 1              .45523         .595488                                          
 2              .988115        .378654                                          
 3              .794192        .135876                                          
 4              .449372        .549567                                          
 5              .423212        .620993                                          
 6              .438139        .357999                                          
 7              .336397        .850161                                          
 8              .694538        .349392                                          
 9              .520826        .617221                                          
 10             1.07113        .341656                                          
 11             .377583        .620679                                          
 12             .380771        .932965                                          
 13             .985349        .208854                                          
 14             .114939        .814205                                          
 15             .491076        .825009                                          
 16             .932995        .170729                                          
 17             .402152        .753239                                          
 18             .899287        .311487                                          
 19             1.16556        .142661                                          
 20             .605815        .315683                                          
 21             4.64517E-2     1.50504                                          
 22             .622752        .71263                                           
 23             .798493        .256347                                          
 24             .516858        .711673                                          
 25             .107246        .924347                                          
 26             .471567        .451034                                          
 27             .211972        .947588                                          
 28             .405545        .532419                                          
 29             .647631        .321755                                          
 30             .654656        .786338                                          
                                                                                
SUMMARY K-S STATISTICS FOR THE K+ VALUES                                        
K+ =  .810345         K- =  .445969                                             
                                                                                
                                                                                
SUMMARY K-S STATISTICS FOR THE K- VALUES                                        
K+ =  .825382         K- =  .198557                                             
                                                                                
                                                                                
ALL RESULTS SHOULD FALL BETWEEN .04354 AND 1.4801                               
                                                                                
*** TEST PASSED ***                                                             
                                                                                
                                                                                
               END TEST                                                         
                                                                                
END PROGRAM 134                                                                 
                                                                                
Program interrupted at line 1420                                                
