= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part IV(c) ( STAT 500 ----> STAT 588 ) = = = = = = = = = = = = The COMP-U-STAT System consists of a cluster of more than 3706 = = = = modular programs, providing the analyst with a clear and distinct = = = = scientific and mathematical edge in generating novel and useful = = = = statistical patterns for analyzing trends from random variables. = = = = The following is a glossary describing the functions of all = = = = routines in the sequence. There are many statistical applications = = = = of the COMP-U-STAT cluster. Please see available DEMO Diskettes, = = = = provided upon request, for numerous examples of output files. = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ====================================================================== * * * GLOSSARY OF COMP-U-STAT PROGRAMS 500 ---> 588 * * * ====================================================================== ============================================================================== -- L 500 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING AN ELEMENT OF THE FORM B(i,j) = M(j) + (-1)**(i+j) + (-1)**i + (-1)**j + (-1)**MOD(i,j) OR B(i,j) = M(j) + (-1)**(i-j) + (-1)**i + (-1)**j + (-1)**MOD(i,j), WHERE M(j) IS THE MEAN OF COLUMN j OVER JMAX ELEMENTS AND WHERE i AND j ARE ROW AND COLUMN INDEXES, RESPECTIVELY, OF ELEMENT B(i,j) , FOR EACH VALUE OF THE INDEX VARIABLE i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT500 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS FOLLOWS: THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH IS DETERMINED BY THE ABOVE TACITLY DEFINED ALGORITHM. STAT500 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT500 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 900 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, E.G. K0=6. TRANSLATION PARAMETERS FOR THE K0 COLUMNS OF STAR EVENTS RESIDE IN THE FILE STAT500.INP. A SEQUENCE OF DESIRED TRANSLATION FACTORS IS ADDED TO EACH GENERATED TEST EVENT AND THE ANALYSIS IS REPEATED ON THIS NEW SEQUENCE OF EVENTS. ============================================================================== -- L 501 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, A NEW SEQUENCE OF TEST EVENTS WHERE B(i,j) IS THE j-th ELEMENT OF THE ith ROW OF THE GENERATED TEST SEQUENCE, REPRESENTING AN ELEMENT OF THE FORM B(i,j) = M(j) + (-1)**(i+j) + (-1)**i + (-1)**j + (-1)**MOD(i,j) OR B(i,j) = M(j) + (-1)**(i-j) + (-1)**i + (-1)**j + (-1)**MOD(i,j), WHERE M(j) IS THE MEAN OF COLUMN j OVER JMAX ELEMENTS AND WHERE i AND j ARE ROW AND COLUMN INDEXES, RESPECTIVELY, OF ELEMENT B(i,j) , FOR EACH VALUE OF THE INDEX VARIABLE i = 1,2,3, ... , JMAX OVER THE JMAX STAR EVENTS, FOR UP TO 400 STAR EVENTS. THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS IS ALSO DETERMINED. THOSE TEST EVENTS ARE IDENTIFIED WHICH HAVE ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT501 IS A VARIANT OF STAT488, BUT TEST EVENTS ARE GENERATED AS FOLLOWS: THE MEAN OF EACH OF THE K0 COLUMNS FROM THE IMAX STAR EVENTS IS COMPUTED. THEN A SEQUENCE OF EVENTS IS GENERATED, BACKING UP A DESIRED NUMBER OF EVENTS FROM THE FINAL SELECTED STAR EVENT, EACH ELEMENT OF WHICH IS DETERMINED BY THE ABOVE TACITLY DEFINED ALGORITHM. STAT501 ALSO DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT501 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 500 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, E.G. K0=6. TRANSLATION PARAMETERS FOR THE K0 COLUMNS OF STAR EVENTS RESIDE IN THE FILE STAT501.INP. A SEQUENCE OF DESIRED TRANSLATION FACTORS IS ADDED TO EACH GENERATED TEST EVENT AND THE ANALYSIS IS REPEATED ON THIS NEW SEQUENCE OF EVENTS. ============================================================================== -- L 502 -- READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF THE INDEX OF THE PERMUTATION ELEMENT IS LESS THAN ONE HALF THE NUMBER OF ELEMENTS, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. STAT502 IS A VARIANT OF STAT498 AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. STAT502 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 200 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT502 IS ALSO A VARIANT AND EMBELLISHMENT OF STAT492, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE. ============================================================================== -- L 503 -- READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF THE INDEX OF THE PERMUTATION ELEMENT IS EQUAL TO ANY ONE OF A DESIRED SEQUENCE OF UP TO 10 INTEGERS (MOD N) FOR A VALUE OF N ALSO SELECTED BY THE ANALYST, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. STAT503 IS A VARIANT OF STAT502 AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. STAT503 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 200 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT503 IS ALSO A VARIANT AND EMBELLISHMENT OF STAT492, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE. ============================================================================== -- L 504 -- READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF AN ACTUAL INPUT PERMUTATION ELEMENT IS LESS THAN ONE HALF THE NUMBER OF ELEMENTS, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. STAT504 IS A VARIANT OF STAT502 AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. STAT504 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 200 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT504 IS ALSO A VARIANT AND EMBELLISHMENT OF STAT492, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE. ============================================================================== -- L 505 -- READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF AN ACTUAL INPUT PERMUTATION ELEMENT IS EQUAL TO ANY ONE OF A DESIRED SEQUENCE OF UP TO 10 INTEGERS (MOD N) FOR A VALUE OF N ALSO SELECTED BY THE ANALYST, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. STAT505 IS A VARIANT OF STAT503 AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. STAT505 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 200 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT505 IS ALSO A VARIANT AND EMBELLISHMENT OF STAT492, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE. ============================================================================== -- L 506 -- STAT506 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF 4 SUB-PERMUTATIONS OF A DESIRED GROUP-SIZE DETERMINED BY THE ANALYST. THE 4 SUB-PERMUTATIONS SERVE AS A COVERING OF THE INITIAL INPUT PERMUTATION AND MAY ASSUME A DESIRED VARIABLE GROUP-SIZE. STAT506 ALSO READS A SEQUENCE OF PERMUTATIONS AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. MOREOVER, STAT506 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 300 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT506 IS A VARIANT AND EMBELLISHMENT OF STAT498, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE AND ADDING THE FEATURE OF A FINITE SUB-COVERING FOR EACH INPUT PERMUTATION. ============================================================================== -- L 507 -- STAT507 READS A SEQUENCE OF n PERMUTATIONS OF ARBITRARY SIZES AND GENERATES A TOTAL OF n C 2 PERMUTATIONS, REPRESENTING ALL POSSIBLE PAIRWISE UNIONS OF THE n INITIAL PERMUTATIONS. THE n C 2 GENERATED PERMUTATIONS SERVE AS A COVERING OF THE INITIAL INPUT PERMUTATIONS TO BE SUBSEQUENTLY INTERSECTED WITH STAR EVENTS. STAT507 ALSO READS A SEQUENCE OF PERMUTATIONS AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. MOREOVER, STAT507 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 300 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT507 IS A VARIANT AND EMBELLISHMENT OF BOTH STAT506 AND STAT498, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE, BUT ADDING THE FEATURE OF A FINITE COVERING FOR EACH SEQUENCE OF INPUT PERMUTATIONS. ============================================================================== -- L 508 -- STAT508 READS A SEQUENCE OF INPUT EVENTS AND MODIFIES ELEMENTS OF EACH INPUT EVENT BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO ELEMENTS OF EACH EVENT. IF THE INDEX OF AN ELEMENT OF AN EVENT IS LESS THAN ONE HALF THE NUMBER OF ELEMENTS, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. STAT508 IS AN HYBRID OF STAT94 AND STAT502, PRINTING EACH EVENT FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. STAT508 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT ELEMENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. COLUMN-SORTS A GIVEN ARRAY OF k COLUMNS OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF EVENTS OF THE ARRAY IN LEXICOGRAPHIC ORDER. STAT508 PROCESSES UP TO 400 STAR EVENTS AND 1000 TEST EVENTS IN A GIVEN SEQUENCE. READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A GIVEN RANGE OF STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT IN THE SELECTED RANGE AND EACH OF THE TEST EVENTS GENERATED. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT508 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 509 -- STAT509 READS A SEQUENCE OF INPUT EVENTS AND MODIFIES ELEMENTS OF EACH EVENT BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF THE INDEX OF AN EVENT ELEMENT IS CONGRUENT TO ANY ONE OF A DESIRED SEQUENCE OF UP TO 10 INTEGERS (MOD N) FOR A VALUE OF N ALSO SELECTED BY THE ANALYST, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. IN FACT, STAT509 IS AN HYBRID OF STAT94 AND STAT508 AND PRINTS EACH EVENT IN THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. STAT509 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT EVENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT EVENTS. OUTPUT EVENTS (STAT94.INP) MAY BE UTILIZED AS INPUT FOR FILE (STAT94.INP) IN STAT94. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT509 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 510 -- STAT510 READS A SEQUENCE OF INPUT EVENTS AND MODIFIES ELEMENTS OF EACH EVENT BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. MOREOVER, ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SECOND SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO ELEMENTS OF EACH INPUT EVENT. IF AN ACTUAL ELEMENT OF A GIVEN EVENT IS LESS THAN FOUR TIMES THE NUMBER OF ELEMENTS, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. IN FACT, STAT510 IS AN HYBRID OF STAT94 AND STAT508 AND PRINTS EACH EVENT IN THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. STAT510 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT EVENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT EVENTS. OUTPUT EVENTS (STAT94.INP) MAY BE UTILIZED AS INPUT FOR FILE (STAT94.INP) IN STAT94. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT510 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 511 -- STAT511 READS A SEQUENCE OF INPUT EVENTS AND MODIFIES ELEMENTS OF EACH EVENT BY ADDING ELEMENTS FROM A DESIRED SEQUENCE. ALL POSSIBLE PAIRS OF ELEMENTS FROM THE SEQUENCE (CHOSEN BY THE ANALYST) ARE ADDED TO PERMUTATION ELEMENTS. IF AN ACTUAL ELEMENT OF AN EVENT IS CONGRUENT TO ANY ONE OF A DESIRED SEQUENCE OF UP TO 10 INTEGERS (MOD N) FOR A VALUE OF N ALSO SELECTED BY THE ANALYST, THEN THE FIRST ELEMENT OF THE PAIR IS ADDED TO THAT ELEMENT. OTHERWISE, THE SECOND ELEMENT OF THE PAIR IS ADDED TO THE ELEMENT. IN FACT, STAT511 IS AN HYBRID OF STAT94 AND STAT509 AND PRINTS EACH EVENT IN THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. STAT503 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT EVENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT EVENTS. OUTPUT EVENTS (STAT94.INP) MAY BE UTILIZED AS INPUT FOR FILE (STAT94.INP) IN STAT94. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT511 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 512 -- STAT512 READS A SEQUENCE OF INPUT TEST EVENTS, AS WELL AS A SEQUENCE OF STAR EVENTS. EITHER THE TOP K, MIDDLE K, AND BOTTOM K TEST EVENTS ARE FILTERED, BASED UPON INDEX, OR A UNION OF THREE SUBSETS OF TEST EVENTS IS FILTERED, BASED UPON INDEX, ALL OF WHICH ARE CHOSEN BY THE ANALYST. STAT 512 IS AN HYBRID OF STAT508, PRINTING EACH EVENT FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. STAT512 ALSO ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT ELEMENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. COLUMN-SORTS A GIVEN ARRAY OF k COLUMNS OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF EVENTS OF THE ARRAY IN LEXICOGRAPHIC ORDER. STAT512 PROCESSES UP TO 400 STAR EVENTS AND 1000 TEST EVENTS IN A GIVEN SEQUENCE. READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A GIVEN RANGE OF STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT IN THE SELECTED RANGE AND EACH OF THE TEST EVENTS GENERATED. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT512 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 513 -- STAT513 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT513.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [ 1 , 2 ] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO TWO CELLS WHICH ARE PRINTED IN PERM.OUT. STAT513 IS A VARIANT OF STAT506, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 514 -- STAT514 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT514.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [1,2,3] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO THREE CELLS WHICH ARE PRINTED IN PERM.OUT. STAT514 IS A VARIANT OF STAT513, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 515 -- STAT515 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT515.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [1,2,3,4] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO FOUR CELLS WHICH ARE PRINTED IN PERM.OUT. STAT515 IS A VARIANT OF STAT514, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 516 -- STAT516 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT516.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [ 1 , 2 ] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO TWO CELLS WHICH ARE PRINTED IN PERM.OUT. STAT516 IS A VARIANT OF STAT513, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. VARYING TRANSLATION FACTORS ARE ADDED TO GENERATE A SEQUENCE OF HOMOGENEOUS PERMUTATIONS. ============================================================================== -- L 517 -- STAT517 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT517.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [1,2,3] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO THREE CELLS WHICH ARE PRINTED IN PERM.OUT. STAT517 IS A VARIANT OF STAT514, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. VARYING TRANSLATION FACTORS ARE ADDED TO GENERATE A SEQUENCE OF HOMOGENEOUS PERMUTATIONS. ============================================================================== -- L 518 -- STAT518 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND A SEQUENCE OF INDEX SETS HAVING REPETITIVE ELEMENTS IN STAT518.INP AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF SUB-PERMUTATIONS OF A DIMINISHED GROUP-SIZES DETERMINED BY THE INDEX SETS. THE SUB-PERMUTATIONS FUNCTION AS A RANDOM SELECTOR OF ELEMENTS FROM THE INTIAL INPUT PERMUTATIONS IN PERM.INP. EACH INDEX SET, DEFINED ON THE ELEMENTS [1,2,3,4] , SERVES TO PARTITION EACH INTIAL PERMUTATION INTO FOUR CELLS WHICH ARE PRINTED IN PERM.OUT. STAT518 IS A VARIANT OF STAT515, BUT A TRANSLATION TERM OF (-1)**N IS ADDED TO EACH GENERATED ELEMENT. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. VARYING TRANSLATION FACTORS ARE ADDED TO GENERATE A SEQUENCE OF HOMOGENEOUS PERMUTATIONS. ============================================================================== -- L 519 -- STAT519 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF 4 SUB-PERMUTATIONS OF A DESIRED GROUP-SIZE DETERMINED BY THE ANALYST. THE 4 SUB-PERMUTATIONS SERVE AS A COVERING OF THE INITIAL INPUT PERMUTATION AND MAY ASSUME A DESIRED VARIABLE GROUP-SIZE. A DESIRED SEQUENCE OF INTEGERS < M1, M2, ... , M5 > (MOD K) , FOR SOME DESIRED INTEGER K , WITH THE Mi, (i = 1, ... , 5), NOT NECESSARILY DISTINCT, IS USED AS EQUIVALENCE CLASSES OF INDEXES TO SELECT A SUBSET OF ELEMENTS FROM EACH OF THE INITIAL INPUT PERMUTATIONS. STAT519 ALSO READS A SEQUENCE OF PERMUTATIONS AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. MOREOVER, STAT519 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 100 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT519 IS A VARIANT AND EMBELLISHMENT OF STAT506, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE AND ADDING THE FEATURE OF A FINITE SUB-COVERING FOR EACH INPUT PERMUTATION. ============================================================================== -- L 520 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF EVENTS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 0R 6. EACH GENERATED K0-ELEMENT EVENT IS SUCH THAT THE FIRST PAIR OF ELEMENTS SELECTED FROM EACH INPUT PERMUTATION IS SEPARATED BY A SELECTED VALUE OF KTOP INDEXES, WHILE THE SECOND PAIR OF ELEMENTS IS SEPARATED BY MTOP INDEXES IN EACH OF THE PMAX INPUT PERMUTATIONS. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY TACITLY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO ELEMENTS OF A DESIRED CLASS OF SEQUENCES OF VECTORS, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER SEQUENCE T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). STAT520 IS A VARIANT OF STAT482, BUT A SELECTED SET OF SEQUENCES OF INTEGERS (MOD ANOTHER SELECTED SEQUENCE OF INTEGERS) IS USED AS A FILTERING CRITERION ON THE INDICES OF TEST EVENTS IN STAT520.INP AND AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS. STAT520 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT520 READS UP TO 400 INITIAL STAR EVENTS. AND IS A VARIANT OF STAT483. FORMAT for STAT520.INP IS AS FOLLOWS: (10(1X,I4),9X,I4). ============================================================================== -- L 521 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF EVENTS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 0R 6. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY TACITLY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO ELEMENTS OF A DESIRED CLASS OF SEQUENCES OF VECTORS, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER SEQUENCE T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). STAT521 IS A VARIANT OF STAT482, BUT A SELECTED SET OF SEQUENCES OF INTEGERS (MOD ANOTHER SELECTED SEQUENCE OF INTEGERS) IS USED AS A FILTERING CRITERION ON THE INDICES OF TEST EVENTS IN STAT521.INP AND AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS. STAT521 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT521 READS UP TO 400 INITIAL STAR EVENTS. AND IS A VARIANT OF STAT520, BUT SEPARATION BETWEEN PAIRS OF ELEMENTS IN GENERATED TEST EVENTS IS NOT FIXED, BUT RANGES OVER A DESIRED SEQUENCE OF INDEXES. FORMAT for STAT521.INP IS AS FOLLOWS: (10(1X,I4),9X,I4). ============================================================================== -- L 522 -- READS A SEQUENCE OF PERMUTATIONS,

, DEFINED ON ELEMENTS AND GENERATES PMAX x K0 DIMENSIONAL BLOCKS OF EVENTS WHERE K0 AND PMAX ARE DETERMINED BY THE ANALYST. K0 CAN ASSUME EITHER THE VALUE 5 0R 6. EACH GENERATED K0-ELEMENT EVENT IS SUCH THAT THE FIRST PAIR OF ELEMENTS SELECTED FROM EACH INPUT PERMUTATION IS SEPARATED BY A SELECTED VALUE OF KTOP INDEXES, WHILE THE SECOND PAIR OF ELEMENTS IS SEPARATED BY MTOP INDEXES IN EACH OF THE PMAX INPUT PERMUTATIONS. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY TACITLY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO ELEMENTS OF A DESIRED CLASS OF SEQUENCES OF VECTORS, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER SEQUENCE T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). STAT522 IS A VARIANT OF STAT482, BUT A SELECTED SET OF SEQUENCES OF INTEGERS (MOD ANOTHER SELECTED SEQUENCE OF INTEGERS) IS USED AS A FILTERING CRITERION ON THE INDICES OF TEST EVENTS IN STAT522.INP AND AN ARBITRARY SET OF PERMUTATIONS SERVES AS SEEDS OR GENERATORS. STAT522 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT522 READS UP TO 400 INITIAL STAR EVENTS. AND IS A VARIANT OF STAT520, BUT COVERS A WIDER RANGE OF ELEMENT INDEXES FROMEACH INPUT PERMUTATION. FORMAT for STAT522.INP IS AS FOLLOWS: (10(1X,I4),9X,I4). ============================================================================== -- L 523 -- STAT523 READS A SEQUENCE OF INPUT EVENTS AND MODIFIES ALL BUT ONE ELEMENT OCCURRING A MULTIPLICITY OF TIMES IN EACH EVENT. IF AN ELEMENT OCCURS MORE THAN ONCE, THEN IT IS SUBTRACTED EITHER FROM L0 ON THE FIRST CYCLE OF COMPARISON OR FROM L0-1 ON THE SECOND CYCLE. STAT523 IS AN HYBRID OF STAT94 AND STAT508, PRINTING EACH EVENT FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING EVENTS WHICH OCCUR A MULTIPLICITY OF TIMES. HENCE, STAT523 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT ELEMENTS. THE ROUTINE ALSO COLUMN-SIRTS A GIVEN ARRAY OF k COLUMNS OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF EVENTS OF THE ARRAY IN LEXICOGRAPHIC ORDER. STAT523 PROCESSES UP TO 400 STAR EVENTS AND 1000 TEST EVENTS IN A GIVEN SEQUENCE. IT READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A GIVEN RANGE OF STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT IN THE SELECTED RANGE AND EACH OF THE TEST EVENTS GENERATED. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT523 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. ============================================================================== -- L 524 -- STAT524 READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ALL BUT ONE ELEMENT OCCURRING A MULTIPLICITY OF TIMES IN EACH PERM. IF AN ELEMENT OCCURS MORE THAN ONCE, THEN IT IS SUBTRACTED EITHER FROM L0 ON THE FIRST CYCLE OF COMPARISON OR FROM L0-j+1 ON THE jth CYCLE. STAT524 IS AN HYBRID OF STAT94 AND STAT523, PRINTING EACH PERM FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMS WHICH OCCUR A MULTIPLICITY OF TIMES. HENCE, STAT524 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT ELEMENTS. THE ROUTINE ALSO COLUMN-SIRTS A GIVEN ARRAY OF k COLUMNS OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF PERMS OF THE ARRAY IN LEXICOGRAPHIC ORDER. STAT524 PROCESSES UP TO 200 STAR EVENTS AND 100 PERMUTATIONS IN A GIVEN SEQUENCE. IT READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A GIVEN RANGE OF STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT IN THE SELECTED RANGE AND EACH OF THE TEST PERMS GENERATED. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST PERMS AND THE SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT524 READS UP TO 200 INITIAL STAR EVENTS AND GENERATES UP TO 100 PERMUTATIONS. ============================================================================== -- L 525 -- STAT525 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF EVENTS OF SIZES NCOLS = 3 , 5 OR 6, BY SELECTING AN ELEMENT FROM EACH OF K0 GROUPS OF ELEMENTS IN EACH PERMUTATION IN THE INITIAL SEQUENCE. EACH INITIAL PERMUTATION IS PARTITIONED INTO K0 CELLS, WITH ONE ELEMENT IN EACH EVENT BEING SELECTED FROM EACH CELL. STAT525 IS A VARIANT OF STAT515, BUT EVENTS, RATHER THAN PERMUTATIONS ARE GENERERATED FROM INPUT PERMS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 526 -- STAT526 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF EVENTS OF SIZES NCOLS = 6 , 10 OR 12, BY SELECTING AN ELEMENT FROM EACH OF K0 GROUPS OF ELEMENTS IN EACH PERMUTATION IN THE INITIAL SEQUENCE. EACH INITIAL PERMUTATION IS PARTITIONED INTO K0 CELLS, WITH EACH WITH ONE ELEMENT IN EACH EVENT BEING SELECTED FROM EACH CELL. STAT526 IS A VARIANT OF STAT525, BUT 3, 5 OR 6 ADJACENT PAIRS OF PERMUTATION ELEMENTS GENERATE EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 527 -- STAT527 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF EVENTS OF SIZES NCOLS = 9 , 15 OR 18, BY SELECTING AN ELEMENT FROM EACH OF K0 GROUPS OF ELEMENTS IN EACH PERMUTATION IN THE INITIAL SEQUENCE. EACH INITIAL PERMUTATION IS PARTITIONED INTO K0 CELLS, WITH EACH WITH ONE ELEMENT IN EACH EVENT BEING SELECTED FROM EACH CELL. STAT527 IS A VARIANT OF STAT526, BUT 3, 5 OR 6 ADJACENT TRIPLES OF PERMUTATION ELEMENTS GENERATE EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. ============================================================================== -- L 528 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS A DESIRED INTEGER CONSTANT TO OR FROM EACH ELEMENT OF EACH DESIRED COLUMN WHICH IS SELECTED BY THE ANALYST, GENERATING A NEW SEQUENCE FOR FURTHER ANALYSIS. THIS PROCESS IS CYCLICALLY REPEATED L0 TIMES FOR THE BLOCK OF UP TO 20 INITIAL TEST EVENTS. A SEQUENCE OF ROW VECTORS IS ALSO READ, THE ELEMENTS OF WHICH DETERMINE THE DESIRED COLUMNS OF INPUT EVENTS TO BE TRANSFORMED. STAT528 ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT528 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT528 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT528 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 20 * L0 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G. K0 = 6 AND L0 = 51. INITIAL TEST EVENTS USED TO GENERATED TRANSLATED TEST EVENTS RESIDE IN THE FILE STAT528.INP. THE SEQUENCE OF ROW VECTORS WHOSE ELEMENTS DETERMINE WHICH COLUMNS ARE TRANSFORMED RESIDES IN THE FILE STAT528.IN2. ============================================================================== -- L 529 -- READS A SEQUENCE OF STAR EVENTS AND SUBTRACTS, FOR EACH COLUMN J = 1, ... , K0 , THE Jth ELEMENT OF STAR EVENT (I) FROM THE Jth ELEMENT OF STAR EVENT (I+1). THE GENERATED DIFFERENCES ARE ADDED TO THE CORRESPONDING ELEMENTS OF THE K0 COLUMNS OF EVENT NUMBER JMAX, SELECTED BY THE ANALYST. THIS GENERATES A NEW SEQUENCE OF TEST EVENTS. STAT529 THEN CYCLICALLY DETERMINES, FOR THE DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT AND THE SELECTED EVENT. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURING 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 400 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G., K0 = 6 AND L0 = 51. A SET OF (+ or -) TRANSLATION PARAMETERS IS READ FROM STAT529.IN2 AND ADDED TO CORRESPONDING ROWS OF EACH GENERATED TEST EVENT. ============================================================================== -- L 530 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS A DESIRED INTEGER CONSTANT TO OR FROM EACH ELEMENT OF EACH DESIRED COLUMN WHICH IS SELECTED BY THE ANALYST, GENERATING A NEW SEQUENCE FOR FURTHER ANALYSIS. THIS PROCESS IS CYCLICALLY REPEATED L0 TIMES FOR THE BLOCK OF UP TO 20 INITIAL TEST EVENTS. A SEQUENCE OF ROW VECTORS IS ALSO READ, THE ELEMENTS OF WHICH DETERMINE THE DESIRED COLUMNS OF INPUT EVENTS TO BE TRANSFORMED. STAT530 ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT530 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT530 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT530 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 20 * L0 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G. K0 = 6 AND L0 = 51. INITIAL TEST EVENTS USED TO GENERATED TRANSLATED TEST EVENTS RESIDE IN THE FILE STAT530.INP. THE SEQUENCE OF ROW VECTORS WHOSE ELEMENTS DETERMINE WHICH COLUMNS ARE TRANSFORMED RESIDES IN THE FILE STAT530.IN3. STAT530 IS A VARIANT OF STAT528, GENERATING 4 TIMES THE NUMBER OF TEST EVENTS, BASED UPON ADDING POWERS OF (-1) TO ELEMENTS OF GENERATED EVENTS. ============================================================================== -- L 531 -- READS A SEQUENCE OF STAR EVENTS AND SUBTRACTS, FOR EACH COLUMN J = 1, ... , K0 , THE Jth ELEMENT OF STAR EVENT (I) FROM THE Jth ELEMENT OF STAR EVENT (I+1). THE GENERATED DIFFERENCES ARE ADDED TO THE CORRESPONDING ELEMENTS OF THE K0 COLUMNS OF EVENT NUMBER JMAX, SELECTED BY THE ANALYST. THIS GENERATES A NEW SEQUENCE OF TEST EVENTS. STAT531 THEN CYCLICALLY DETERMINES, FOR THE DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT AND THE SELECTED EVENT. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURING 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 400 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G., K0 = 6 AND L0 = 51. STAT531 IS A VARIANT OF STAT529, GENERATING 3 TIMES AS MANY EVENTS BY ADDING POWERS OF (-1), BASED UPON ROW AND COLUMN NUMBERS. ============================================================================== -- L 532 -- READS A SEQUENCE OF TEST EVENTS AND ADDS OR SUBTRACTS A DESIRED INTEGER CONSTANT TO OR FROM EACH ELEMENT OF EACH DESIRED COLUMN WHICH IS SELECTED BY THE ANALYST, GENERATING A NEW SEQUENCE FOR FURTHER ANALYSIS. THIS PROCESS IS CYCLICALLY REPEATED L0 TIMES FOR THE BLOCK OF UP TO 20 INITIAL TEST EVENTS. A SEQUENCE OF ROW VECTORS IS ALSO READ, THE ELEMENTS OF WHICH DETERMINE THE DESIRED COLUMNS OF INPUT EVENTS TO BE TRANSFORMED. STAT532 ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT532 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT532 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT532 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 100 * L0 TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G. K0 = 6 AND L0 = 51. INITIAL TEST EVENTS USED TO GENERATED TRANSLATED TEST EVENTS RESIDE IN THE FILE STAT532.INP. THE SEQUENCE OF ROW RESIDES IN THE FILE STAT532.IN3. RESIDES IN THE FILE STAT532.IN2. A SEQUENCE OF TRANSLATION PARAMETERS IS ADDED TO ELEMENTS OF GENERATED TEST EVENTS AND RESIDES IN FILE STAT532.IN3. STAT532 IS A VARIANT OF STAT528. ============================================================================== -- L 533 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO GENERATE A DESIRED SEQUENCE OF J0 PERMUTATIONS OF ELEMENTS WHICH HAVE BEEN DETERMINED TO BE OF HIGH-PROBABILITY. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - k ) EVENTS, WHERE T(L) IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. STAT533 IS A VARIANT OF STAT535, WITH AN INTEGRAL TRANSLATION PARAMETER, ALPHA (POSITIVE, NEGATIVE, OR ZERO) IS ADDED TO EACH THRESHOLD VALUE FOR FILTERING OF HIGH-PROBABILITY ELEMENTS. A SEQUENCE OF INTEGRAL VALUES IS CYCLICALLY ADDED TO EACH GENERATED PERMUTATION ELEMENT WHICH LIES IN A DESIRED INTERVAL ENTERED BY THE ANALYST IN REAL TIME, GENERATING NEW PERMUTATIONS. STAT533 ALSO INTERSECTS THE SUCCESSOR OF EACH DESIRED STAR EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS, WHERE JMAX RANGES OVER A DESIRED NUMBER OF STAR EVENTS. ============================================================================== -- L 534 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO DETERMINE A SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - 1 ) EVENTS, WHERE T IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. A SEQUENCE OF INTEGRAL VALUES IS CYCLICALLY ADDED TO EACH GENERATED PERMUTATION ELEMENT WHICH LIES IN A DESIRED INTERVAL ENTERED BY THE ANALYST IN REAL TIME, GENERATING NEW PERMUTATIONS. STAT534 ALSO INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS. ============================================================================== -- L 535 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO DETERMINE A SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - k ) EVENTS, WHERE T(L) IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. STAT535 IS A VARIANT OF STAT534, BUT AN INTEGRAL TRANSLATION PARAMETER, ALPHA (POSITIVE, NEGATIVE, OR ZERO) IS ADDED TO EACH THRESHOLD VALUE FOR FILTERING OF HIGH-PROBABILITY ELEMENTS. A SEQUENCE OF INTEGRAL VALUES IS CYCLICALLY ADDED TO EACH GENERATED PERMUTATION ELEMENT WHICH LIES IN A DESIRED INTERVAL ENTERED BY THE ANALYST IN REAL TIME, GENERATING NEW PERMUTATIONS. STAT535 ALSO INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS. ============================================================================== -- L 536 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO DETERMINE A SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - 1 ) EVENTS, WHERE T IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. STAT536 IS A VARIANT OF STAT535, BUT A VECTOR OF INTEGRAL VALUES (NOT NECESSARILY DISTINCT) IS USED TO SELECT DESIRED INDEXES WHOSE CORRESPONDING PERMUTATION VALUES ARE MODIFIED (MOD K) FOR SOME DESIRED INTEGER K ALSO SELECTED BY THE ANALYST AND TRANSLATED BY A DESIRED TRANSLATION PARAMETER. DURING THIS PROCESS, A SEQUENCE OF INTEGRAL VALUES IS CYCLICALLY ADDED TO EACH GENERATED PERMUTATION ELEMENT WHICH IS SELECTED VIA THE ABOVE CRITERION BY THE ANALYST IN REAL TIME, GENERATING A SEQUENCE OF NEW PERMUTATIONS. STAT536 ALSO INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS. ============================================================================== -- L 537 -- COMPARES A SET OF K0-ELEMENT STAR EVENTS WITH A FINITE TEST SET OF K0-ELEMENT EVENTS, DETERMINES THE NUMBER OF COMMON ELEMENTS BETWEEN RESPECTIVE TEST AND STAR EVENTS, DETERMINES THE RELATIVE FREQUENCIES AND SUMS OF RELATIVE FREQUENCIES OF COMMON ELEMENTS FOR COMPARISON, AND GENERATES A MONITOR MATRIX, REFLECTING THE PATTERNS OF INTERSECTIONS BETWEEN TEST AND STAR EVENTS. RANKS THE SEQUENCE OF TEST EVENTS IN DESCENDING ORDER OF INTERSECTION MAGNITUDES AND FILTERS THOSE TEST EVENTS FROM THE INITIAL SEQUENCE WHICH ARE IN RANGES SPECIFIED BY THE ANALYST. THE TOP k TEST EVENTS ARE FILTERED BASED UPON A UNION OF INTERSECTION MAGNITUDES. STAT537 IS A VARIANT OF STAT258. LEXICOGRAPHICALLY RANKED EVENTS ARE DISPLAYED IN STAT94.INP. STAT537 PROCESSES UP TO 80 STAR EVENTS AND 80 TEST EVENTS PER EXECUTION. RANKED EVENTS ARE INTERSECTED WITH A DESIRED EVENT MMAX AND COMMON ELEMENTS ARE IDENTIFIED AND DISPLAYED IN MATRICES IN STAT537.OUT AND STAT537.OT7. ============================================================================== -- L 538 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO DETERMINE A SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - k ) EVENTS, WHERE T(L) IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. STAT538 IS A VARIANT OF STAT535, BUT A NEW SEQUENCE OF PERMUTATIONS IS GENERATED WHICH COVERS ALL ELEMENTS WITHIN ONE UNIT OF GENERATED HIGH-PROBABILITY ELEMENTS. MOREOVER, A SEQUENCE OF PERMUTATIONS IS GENERATED WHICH IS DETERMINED BY BACKING UP A DESIRED NUMBER OF EVENTS OR CYCLES FROM A STAR EVENT SELECTED BY THE ANALYST. STAT538 ALSO INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS. STAT538 GENERATES HIGH-PROBABILITY ELEMENTS OVER A DESIRED NUMBER OF BLOCKS OF EVENTS, BACKING UP FROM A SELECTED FINAL STAR EVENT, FOR UP TO 999 STAR EVENTS. ============================================================================== -- L 539 -- DETERMINES THE FREQUENCIES OF L0 ELEMENTS OVER A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS, THE EMPIRICAL PROBABILITY, AND THE NUMBER OF ELAPSED EVENTS (THRESHOLD) PER OCCURRENCE OF EACH OF THE ELEMENTS ( 1 , ... , L0 ) . THESE THRESHOLD VALUES ARE USED TO DETERMINE A SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED AND FILTERED WHICH HAVE NOT OCCURRED OVER THE LAST ( T(L) - k ) EVENTS, WHERE T(L) IS THE THRESHOLD OF A ELEMENT L. A FREQUENCY AND THRESHOLD MATRIX IS GENERATED FOR ELEMENTS 1 , ...., L0 AND A CORRESPONDING PERMUTATION CONSISTING OF THE FILTERED ELEMENTS IS GENERATED. STAT539 IS A VARIANT OF STAT535, BUT A NEW SEQUENCE OF PERMUTATIONS IS GENERATED WHICH COVERS ALL ELEMENTS WITHIN ONE UNIT OF GENERATED HIGH-PROBABILITY ELEMENTS. MOREOVER, A SEQUENCE OF PERMUTATIONS IS GENERATED WHICH IS DETERMINED BY BACKING UP A DESIRED NUMBER OF EVENTS OR CYCLES FROM A STAR EVENT SELECTED BY THE ANALYST. STAT539 ALSO INTERSECTS THE SUCCESSOR OF DESIRED EVENT JMAX WITH EACH NEWLY GENERATED TEST SET AND GENERATES A MATRIX OF INTERSECTION STATISTICS. STAT539 GENERATES HIGH-PROBABILITY ELEMENTS OVER A DESIRED NUMBER OF BLOCKS OF EVENTS, BACKING UP FROM A SELECTED FINAL STAR EVENT, FOR UP TO 999 STAR EVENTS. STAT539 IS A VARIANT OF STAT539, BUT FEWER PERMUTATION SETS ARE GENERATED TO STREAMLINE THE NUMBER OF HIGH-PROBABILITY ELEMENTS GENERATED IN PERM2.INP. ============================================================================== -- L 540 -- READS A SEQUENCE OF PNUM PERMUTATIONS ON UP TO L0 ELEMENTS, A SEQUENCE OF BNUM EVENTS ON M0 ELEMENTS (WHERE M0 < L0), WHERE EACH EVENT IS A K0-ELEMENT PERMUTATION ON M0 ELEMENTS (K0 < M0), AND A SEQUENCE OF IMAX STAR EVENTS FOR UP TO 600 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF THE SUCCESSOR OF A DESIRED STAR EVENT AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN GENERATED TEST EVENTS AND THE SUCCESSOR OF THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. PRINTED PERMUTATIONS ARE RESTRICTED TO A DESIRED RANGE OF SIZES SELECTED BY THE ANALYST. THE ROUTINE PROCESSES UP TO 600 STAR EVENTS IN BASE.INP, 600 INPUT EVENTS IN STAT540.INP, AND UP TO 100 INPUT PERMUTATIONS IN PERM.INP. ============================================================================== -- L 541 -- STAT541 READS A SEQUENCE OF PERMUTATIONS OF ARBITRARY SIZES AND PRINTS, FOR EACH PERMUTATION IN THE SEQUENCE, A SEQUENCE OF 4 SUB-PERMUTATIONS OF A DESIRED GROUP-SIZE DETERMINED BY THE ANALYST. THE 4 SUB-PERMUTATIONS SERVE AS A COVERING OF THE INITIAL INPUT PERMUTATION AND MAY ASSUME A DESIRED VARIABLE GROUP-SIZE. A DESIRED SEQUENCE OF INTEGERS < M1, M2, ... , M5 > (MOD K) , FOR SOME DESIRED INTEGER K , WITH THE Mi, (i = 1, ... , 5), NOT NECESSARILY DISTINCT, IS USED AS EQUIVALENCE CLASSES OF INDEXES TO SELECT A SUBSET OF ELEMENTS FROM EACH OF THE INITIAL INPUT PERMUTATIONS. STAT541 ALSO READS A SEQUENCE OF PERMUTATIONS AND PRINTS EACH PERMUTATION FROM THE LIST NO MORE THAN ONE TIME, THEREBY UNIFYING PERMUTATIONS WHICH OCCUR MULTIPLE TIMES. MOREOVER, STAT541 ELIMINATES ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION PROCESSES UP TO 100 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT541 IS AN HYBRID AND EMBELLISHMENT OF STAT506 AND STAT519, NOT ONLY ELIMINATING ALL BUT ONE REPETITIVE ELEMENT PER PERMUTATION, BUT ALSO ELIMINATING ALL BUT ONE REPETITIVE PERMUTATION IN THE SEQUENCE AND ADDING THE FEATURE OF A FINITE SUB-COVERING FOR EACH INPUT PERMUTATION. ============================================================================== -- L 542 -- COLUMN-SORTS A GIVEN ARRAY OF k COLUMNS OF INTEGERS IN ASCENDING ORDER OF SIZE (LEXICOGRAPHIC ORDER) AND ARRANGES THE SEQUENCE OF EVENTS OF THE ARRAY IN LEXICOGRAPHIC ORDER. STAT542 PROCESSES UP TO 400 STAR EVENTS AND 1000 TEST EVENTS IN A GIVEN SEQUENCE. READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A GIVEN RANGE OF STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN EACH STAR EVENT IN THE SELECTED RANGE AND EACH OF THE TEST EVENTS GENERATED. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT542 READS UP TO 400 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. STAT542 IS A VARIANT OF STAT94, BUT EACH INPUT TEST EVENT OF SIZE K0 = 6 IS TRANSFORMED INTO SIX OUTPUT TEST EVENTS OF SIZE K0 = 5, BASED UPON TWO ADJACENT PAIRS OF ELEMENTS PLUS ONE ELEMENT OF THE REMAINING ADJACENT PAIR. ============================================================================== -- L 543 -- ( GENERATING ALL [ n C k0 ] k0-ELEMENT EVENTS FROM PERMUTATIONS OF SIZE n ) I READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND GENERATES ALL POSSIBLE ( n C k0 ) k0-ELEMENT EVENTS FROM EACH PERMUTATION OF SIZE n , WHERE K0 AND n ARE POSITIVE INTEGERS, k0 < n < 81. MOREOVER, THE ROUTINE FILTERS THE GENERATED EVENTS, BY SELECTING EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, OF THE FORM < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, ... , M10. STAT543 IS A VARIANT OF STAT11, BUT EVENTS ARE GENERATED SEQUENTIALLY FROM THE INPUT SEQUENCE OF PERMUTATIONS, RATHER THAN RANDOMLY. CF. STAT64 FOR GENERATION OF PERM.INP. CF. ALSO STAT1401, STAT2144, AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO SET3.OUT. [*]-QUALIFYING EVENTS ARE FILTERED INTO STAT94.IN2. CF. STAT64 FOR GENERATION OF PERM.INP. CF. STAT1401, STAT2144. STAT2144, STAT2213 AND STAT2233. A CUMULATIVE FILE OF [*]-QUALIFYING TEST EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1365, STAT1401, STAT1781, STAT1828, STAT2248, STAT2250, AND STAT2312. CF. ALSO STAT1616, STAT2223, AND STAT2501. CF. PERM.OUT FOR ALTERNATING VALUES OF P(J) (+/-) 1 , J=1,ENUM(I). ============================================================================== -- L 544 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND SPLITS EACH PERMUTATION INTO SIX DISTINCT PERMUTATIONS OF SIZES APPROXIMATELY HALF THE SIZE OF EACH INITIAL PERMUTATION. THE ELEMENTS OF EACH GENERATED PERMUTATION ARE DETERMINED ACCORDING TO PARITY OF INDEX AND INDEX LOCATION IN EACH INITIAL INPUT PERMUTATION. LOCATIONS ARE OF FOUR TYPES: 11, 12, 21, AND 22. AN ELEMENT OF TYPE 11 HAS INDEX PARITY 1 (ODD) AND INDEX POSITION IN THE FIRST HALF (LEFT-MOST ENTRIES) OF THE INTIAL INPUT PERMUTATION. AND ELEMENT OF TYPE 12 HAS INDEX PARITY 1 (ODD) AND INDEX POSITION IN THE SECOND HALF (RIGHT-MOST ENTRIES) OF THE INITIAL INPUT PERMUTATION. ANA ELEMENT OF TYPE 21 HAS INDEX PARITY 2 (EVEN) AND INDEX POSITION IN THE FIRST HALF (LEFT-MOST ENTRIES) OF THE INITIAL INPUT PERMUTATION. AN ELEMENT OF TYPE 22 HAS INDEX PARITY 2 (EVEN) AND INDEX POSITION IN THE SECOND HALF (RIGHT-MOST ENTRIES) OF THE INITIAL INPUT PERMUTATION. THE SIX GENERATED PERMUTATIONS REPRESENT THE COMPLETE SET OF ELEMENTS FROM ALL POSSIBLE PAIRWISE UNIONS OF THE FOUR SETS OF TYPES 11, 12, 21, AND 22. THE GENERATED PERMUTATIONS ARE PRINTED IN PERM.OUT AND IN STAT544.OUT. A SEQUENCE OF STAR EVENTS IS ALSO READ AND EACH OUTPUT PERMUTATION IS INTERSECTED WITH A DESIRED RANGE OF STAR EVENTS AND COMMON ELEMENTS ARE IDENTIFIED. ============================================================================== -- L 545 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARYING SIZES AND A SEQUENCE OF PARITIES (0 OR 1 TO DENOTE EVEN OR ODD, RESPECTIVELY IN STAT545.INP), AND A SEQUENCE OF IMAX STAR EVENTS. THE QNUM PARITY SEQUENCES ARE USED TO DETERMINE, FOR EACH INITIAL PERMUTATION, A SUBSEQUENCE OF PERMUTATIONS FOR WHICH AN ELEMENT OF ODD INDEX OR EVEN INDEX IS CHOSEN FROM SUCCESSIVE PAIRS OF PERMUTATION ELEMENTS. AN ELEMENT OF ODD INDEX IS SELECTED IF THE PARITY IS 1, WHILE AN ELEMENT OF EVEN INDEX IS SELECTED IF THE PARITY IS 0. HENCE, K SUCCESSIVE PAIRS OF INITIAL ELEMENTS IN EACH PERMUTATION WILL GENERATE A SUB-PERMUTATION OF SIZE K, FOR EACH PARITY SEQUENCE OF SIZE K. THIS ALLOWS FOR A HOMOGENEOUS AND JUDICIOUS SELECTION OF ELEMENTS FROM EACH INITIAL PERMUTAION IN PERM.INP. EACH NEW GENERATED PERMUTATION IS INTERSECTED WITH A DESIRED RANGE OF STAR EVENTS AND COMMON ELEMENTS ARE IDENTIFIED. THE GENERATED PERMUTATIONS ARE PRINTED IN PERM.OUT AND IN STAT545.OUT. ANY GENERATED PERMUTATIONS OF SIZE N = 5 OR N = 6 ARE PRINTED AS EVENTS OF SIZE K0 = 5 OR K0 = 6 , RESPECTIVELY, IN STAT94.INP. STAT545 IS A VERY SPECIAL VARIANT OF STAT544 AND THE NUMBER OF PARITIES QNUM IN A SEQUENCE MUST BE LESS THAN THE NUMBER OF INPUT PERMUTATIONS PNUM. ============================================================================== -- L 546 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 3 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM. PNUM MAY RANGE BETWEEN 1 AND 100 AND THE MAXIMUM VALUE OF L0 IS 51. MOREOVER, IT IS PRESUMED THAT THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION IS EITHER 15 OR 18. STAT546 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS. STAT546 IS A VARIANT OF STAT418, ANALYZING EVENTS OF SIZE K0 = 5 OR K0 = 6. IN ORDER TO OPTIMIZE THE UTILITY OF STAT546, EACH INPUT PERMUTATION IN PERM.INP SHOULD BE ROTATED, SUCCESSIVELY, BY ALPHA INDEXES TO GENERATE ALPHA+1 DISTINCT INPUT PERMUTATIONS, WHERE ALPHA = ENUM(I)/K0 FOR THE ENUM(I) ELEMENTS IN INPUT PERMUTATION I. MOREOVER, EACH INPUT PERMUTATION CAN GENERATE A NEW INPUT PERMUTATION BY SWITCHING EACH PAIR OF ELEMENTS WHOSE INDEXES ARE CONGRUENT TO EITHER 0 OR 2 (MOD 3). ============================================================================== -- L 547 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 4 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM. PNUM MAY RANGE BETWEEN 1 AND 100 AND THE MAXIMUM VALUE OF L0 IS 51. MOREOVER, IT IS PRESUMED THAT THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION IS EITHER 15 OR 18. STAT547 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS. STAT547 IS A VARIANT OF STAT418, ANALYZING EVENTS OF SIZE K0 = 5 OR K0 = 6. IN ORDER TO OPTIMIZE THE UTILITY OF STAT547, EACH INPUT PERMUTATION IN PERM.INP SHOULD BE ROTATED, SUCCESSIVELY, BY ALPHA INDEXES TO GENERATE ALPHA+1 DISTINCT INPUT PERMUTATIONS, WHERE ALPHA = ENUM(I)/K0 FOR THE ENUM(I) ELEMENTS IN INPUT PERMUTATION I. MOREOVER, EACH INPUT PERMUTATION CAN GENERATE A NEW INPUT PERMUTATION BY SWITCHING EACH PAIR OF ELEMENTS WHOSE INDEXES ARE CONGRUENT TO EITHER 0 OR 3 (MOD 4). ============================================================================== -- L 548 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 5 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM. PNUM MAY RANGE BETWEEN 1 AND 100 AND THE MAXIMUM VALUE OF L0 IS 51. MOREOVER, IT IS PRESUMED THAT THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION IS EITHER 25 OR 30. STAT548 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS. STAT548 IS A VARIANT OF STAT547, ANALYZING EVENTS OF SIZE K0 = 5 OR K0 = 6. IN ORDER TO OPTIMIZE THE UTILITY OF STAT548, EACH INPUT PERMUTATION IN PERM.INP SHOULD BE ROTATED, SUCCESSIVELY, BY ALPHA INDEXES TO GENERATE ALPHA+1 DISTINCT INPUT PERMUTATIONS, WHERE ALPHA = ENUM(I)/K0 FOR THE ENUM(I) ELEMENTS IN INPUT PERMUTATION I. MOREOVER, EACH INPUT PERMUTATION CAN GENERATE A NEW INPUT PERMUTATION BY SWITCHING EACH PAIR OF ELEMENTS WHOSE INDEXES ARE CONGRUENT TO EITHER 0 OR 4 (MOD 5). ============================================================================== -- L 549 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 2 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM. PNUM MAY RANGE BETWEEN 1 AND 100 AND THE MAXIMUM VALUE OF L0 IS 51. MOREOVER, IT IS PRESUMED THAT THE NUMBER OF ELEMENTS IN EACH INPUT PERMUTATION IS EITHER 10 OR 12. STAT549 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS. STAT549 IS A VARIANT OF STAT548, ANALYZING EVENTS OF SIZE K0 = 5 OR K0 = 6. IN ORDER TO OPTIMIZE THE UTILITY OF STAT549, EACH INPUT PERMUTATION IN PERM.INP SHOULD BE ROTATED, SUCCESSIVELY, BY ALPHA INDEXES TO GENERATE ALPHA+1 DISTINCT INPUT PERMUTATIONS, WHERE ALPHA = ENUM(I)/K0 FOR THE ENUM(I) ELEMENTS IN INPUT PERMUTATION I. MOREOVER, EACH INPUT PERMUTATION CAN GENERATE A NEW INPUT PERMUTATION BY SWITCHING SELECTED PAIRS OF ELEMENTS. ============================================================================== -- L 550 -- READS A SEQUENCE OF IMAX STAR EVENTS, AS WELL AS, A SEQUENCE OF L0 COMPUTED FREQUENCIES OF BASE ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (NESLO, DETERMINED FROM STAT292) AND SORTS STAR EVENT ELEMENTS IN DESCENDING ORDER, BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS. AN EXECUTION PROCESSES UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENT SUCCESSORS AS THEY OCCUR AMONG THE L0 SORTED ELEMENTS OF EACH STAR EVENT. A PERMUTATION IS GENERATED FROM STAR EVENTS AND TRUNCATED BY A DESIRED NUMBER OF ELEMENTS TO A CLASS OF SUBSEQUENCES OF PERMUTATIONS IN WHICH HIGHLY PROBABLE ELEMENTS OCCUR NEAR THE BEGINNING OF A NON-LEXICOGRAPHIC LISTING OF PERMUTATION ELEMENTS. STAT550 IS A VARIANT OF STAT491, BUT STAR EVENTS, RATHER THAN INPUT PERMUTATION ELEMENTS SERVE AS GENERATORS OF SUBSEQUENCES. SEE STAT551 FOR A VERSION WHICH GENERATES PERMUTATIONS FROM DISTINCT COLUMNS OF STAR EVENTS. ============================================================================== -- L 551 -- READS A SEQUENCE OF IMAX STAR EVENTS, AS WELL AS, A SEQUENCE OF L0 COMPUTED FREQUENCIES OF BASE ELEMENTS < 1, 2, .... , L0 > wrt THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS (NESLO, DETERMINED FROM STAT292) AND SORTS STAR EVENT ELEMENTS IN DESCENDING ORDER, BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING THE CURRENT NUMBER OF ELAPSED EVENTS. AN EXECUTION PROCESSES UP TO 400 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENT SUCCESSORS AS THEY OCCUR AMONG THE L0 SORTED ELEMENTS OF EACH STAR EVENT. A PERMUTATION IS GENERATED FROM STAR EVENTS AND TRUNCATED BY A DESIRED NUMBER OF ELEMENTS TO A CLASS OF SUBSEQUENCES OF PERMUTATIONS IN WHICH HIGHLY PROBABLE ELEMENTS OCCUR NEAR THE BEGINNING OF A NON-LEXICOGRAPHIC LISTING OF PERMUTATION ELEMENTS. STAT551 IS A VARIANT OF STAT550, BUT DISTINCT COLUMNS OF STAR EVENTS ARE USED TO GENERATE SUBSEQUENCES OF HIGH-PROBABILITY ELEMENTS. SEE STAT550 FOR A VERSION WHICH GENERATES PERMUTATIONS FROM ALL K0 COLUMNS OF STAR EVENTS. ============================================================================== -- L 552 -- READS A SEQUENCE OF EVENTS WITH HEADERS, ELIMINATING ALL BUT ONE OF ANY REPETITIVE ELEMENTS, PRINTING A NEW SEQUENCE OF CORRESPONDING OUTPUT PERMUTATIONS. AN EXECUTION ALSO READS UP TO 800 STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION. OUTPUT PERMUATIONS (PERM.OUT) MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. PRINTED EVENT ELEMENTS ARE RESTRICTED TO A DESIRED RANGE OF SIZES SELECTED BY THE ANALYST. STAT552 IS A VARIANT OF STAT492, BUT ARBITRARY EVENTS ARE READ, RATHER THAN PERMUTATIONS. ============================================================================== -- L 553 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF SIZE ENUM(I), FOR I = 1 , .... , PNUM AND GENERATES A SEQUENCE OF PNUM TEST EVENTS CORRESPONDING TO EACH INPUT PERMUTATION, WITH ENUM(I) DIVISIBLE BY K0 FOR EACH I. EACH GENERATED K0-ELEMENT TEST EVENT CONSISTS OF K0 (ENUM(I)/K0)-TERM AVERAGES. A (K0 x 3)-DIMENSIONAL BLOCK OF ELEMENTS IS ALSO GENERATED WHICH CORRESPONDS TO EACH INPUT PERMUTATION, WHERE EACH ROW CONSISTS OF THE AVERAGE AND TWO ENDPOINTS OF EACH (ENUM(I)/K0)-TERM SUB-INTERVAL OF EACH INPUT PERMUTATION. THE TRANSPOSE OF THE GENERATED PNUM x K0 BLOCK OF TEST EVENTS IS ALSO PRINTED FOR FURTHER ANALYSIS. STAT553 ALSO READS A SEQUENCE OF STAR EVENTS AND DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE PNUM GENERATED TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 400 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. STAT553 IS A VARIANT AND EMBELLISHMENT OF STAT416 AND STAT476. PNUM MAY RANGE UP TO 400 AND ENUM(I) MAY RANGE UP TO 80 FOR EACH I = 1, ... , PNUM. ============================================================================== -- L 554 -- READS A (K0 x J)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF CNUM K0-ELEMENT TEST EVENTS, C(M,K), K = 1 , ... , K0 , AND M = 1 , ... , CNUM, ADDING THE Kth ELEMENT OF ROW M IN TO THE Lth ELEMENT IN ROW K IN , I.E., D(M,K,L) = B(K,L) + C(M,K) FOR L = 1 , ... , J , K = 1, ... , K0 , AND M = 1 , ... , CNUM , GENERATING A NEW SEQUENCE, , OF KMAX NEW (K0 x 3)-DIMENSIONAL BLOCKS OF ELEMENTS. THE EXECUTION PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT554 IS A VARIANT OF STAT374. ============================================================================== -- L 555 -- READS A (K0 x J)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF CNUM K0-ELEMENT TEST EVENTS, C(M,K), K = 1 , ... , K0 , AND M = 1 , ... , CNUM, ADDING THE Kth ELEMENT OF ROW M IN TO THE Lth ELEMENT IN ROW K IN , I.E., D(M,K,L) = B(K,L) + C(M,K) FOR L = 1 , ... , J , K = 1, ... , K0 , AND M = 1 , ... , CNUM , GENERATING A NEW SEQUENCE, , OF KMAX NEW (K0 x 3)-DIMENSIONAL BLOCKS OF ELEMENTS. THE EXECUTION PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT555 IS AN EMBELLISMENT OF STAT554, INTERSECTION FREQUENCIES BETWEEN (K0 x J)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT555.OT2. ============================================================================== -- L 556 -- (Cyclic Columns) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF NUMM(K) COLUMN TRANSLATION PARAMETERS, K = 1 , ... , NCOLS , SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE TRANSLATED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. EXECUTION OF STAT556 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT556 IS A VARIANT OF STAT555 AND STAT561. SEE STAT561 FOR READING TRANSLATION PARAMETERS FROM AN INPUT FILE, RATHER THAN BY THE ANALYST IN REAL TIME AS IN STAT556. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT556.OT2. ============================================================================== -- L 557 -- READS A SEQUENCE OF BMAX TEST EVENTS, A(I,J), I = 1 , ... , AMAX AND J = 1 , ... , K0 AND A SEQUENCE OF TMAX REAL-VALUED VECTORS, T(M,J), M = 1 , ... , TMAX AND J = 1 , ... , K0 AND DETERMINES THE DOT PRODUCT OF EACH ROW OF A(I,J) WITH EACH ROW OF T(M,J). EACH EVENT OF A(I,J) IS FILTERED FOR WHICH THE DOT PRODUCT LIES WITHIN A DESIRED THRESHOLD OF VALUES SELECTED BY THE ANALYST, TO GENERATE A SUBSEQUENCE OF TEST EVENTS FROM A(I,J). STAT557 ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT557 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT557 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT557 READS UP TO 200 INITIAL STAR EVENTS AND GENERATES UP TO AMAX * TMAX TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G. K0 = 6 AND L0 = 51. INITIAL TEST EVENTS USED TO GENERATED TRANSLATED TEST EVENTS RESIDE IN THE FILE STAT557.INP. THE SEQUENCE OF ROW VECTORS WHOSE ELEMENTS ARE DOTTED WITH ROWS OF A IN EACH DOT PRODUCT RESIDES IN THE FILE STAT557.IN2. ============================================================================== -- L 558 -- READS A SEQUENCE OF BMAX TEST EVENTS, A(I,J), I = 1 , ... , AMAX AND J = 1 , ... , K0 FROM OUTPUT FILES IN STAT450 OR STAT453 OR SOME OTHER JUDICIOUS SOURCE AND CREATES A HOMOGENEOUS NEW SEQUENCE OF TEST EVENTS, WHERE EACH GENERATED K0-ELEMENT TEST EVENT CONSISTS OF VARIOUS SELECTED COMBINATIONS OF TWO OR THREE ELEMENTS FROM EITHER SUCCESSIVE PAIRS OF INPUT TEST EVENTS OR ALL POSSIBLE PAIRS OF INPUT TEST EVENTS. THIS PROCESS CYCLICALLY GENERATES EITHER M = 10*(AMAX-1) TEST EVENTS OR LMAX OUTPUT TEST EVENTS FOR EACH PAIR OF INPUT TEST EVENTS, WHERE LMAX = M * ( AMAX / 2 ) , THE NUMBER OF COMBINATIONS OF THE AMAX EVENTS IN STAT558.INP, TAKEN AS PAIRS. STAT558 ALSO READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES, FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT558 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT558 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT558 READS UP TO 400 INITIAL STAR EVENTS AND UP TO 100 TEST EVENTS. STAT558 AUTOMATICALLY ELIMINATES ANY REPETITIVE TEST OUTPUT EVENTS. ============================================================================== -- L 559 -- GENERATES A SEQUENCE OF BMAX TEST EVENTS, A(I,J), I = 1 , ... , AMAX AND J = 1 , ... , K0 , READS A SEQUENCE OF TMAX REAL-VALUED VECTORS, T(M,J), M = 1 , ... , TMAX AND J = 1 , ... , K0 AND DETERMINES THE DOT PRODUCT OF EACH ROW OF A(I,J) WITH EACH ROW OF T(M,J). EACH EVENT OF A(I,J) IS FILTERED FOR WHICH THE DOT PRODUCT LIES WITHIN A DESIRED THRESHOLD OF VALUES SELECTED BY THE ANALYST, TO GENERATE A SUBSEQUENCE OF TEST EVENTS FROM A(I,J). STAT559 IS AN HYBRID OF STAT11 AND STAT557, BUT INSTEAD OF READING TEST INPUT EVENTS FROM THE INPUT FILE, STAT559.INP, GENERATES ALL POSSIBLE TEST EVENTS AS A LEXICOGRAPHIC SEQUENCE OF k-SUBSETS OF AN n-SET, WHERE k AND n ARE POSITIVE INTEGERS , k < n < 81 , SELECTED BY THE ANALYST. THE NUMBER OF DISTINCT k-SUBSETS GENERATED IS, AT MOST, nCk, ( n CHOOSE K) , (THE MAXIMUM NUMBER OF DISTINCT k-ELEMENT SUBSETS OF A SUPERSET OF SIZE n ). THE PROGRAM ALSO GENERATES THE NEXT K-SUBSET OF AN N-SET AND REPEATS THIS PROCEDURE FOR ANY DESIRED NUMBER OF K-SUBSETS. MOREOVER, THE PROGRAM STAT559 READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND DETERMINES FOR A DESIRED FINAL CHOSEN EVENT, JMAX, OVER THE IMAX STAR EVENTS, THE NUMBER OF ELEMENTS IN COMMON BETWEEN A FINAL CHOSEN EVENT FROM THE STAR SEQUENCE AND EACH EVENT OF THE GENERATED SEQUENCE OF TEST EVENTS. THOSE TEST EVENTS ARE IDENTIFIED HAVING ELEMENTS IN COMMON WITH THE FINAL STAR EVENT, EXCEEDING SOME DESIRED MINIMUM THRESHOLD. STAT559 IS A VARIANT OF STAT500 AND STAT219 BUT DOES NOT INVOLVE THE COMPUTATION OF MEANS. STAT559 DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT AND EACH OF THE NEW TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT559 READS UP TO 200 INITIAL STAR EVENTS AND GENERATES UP TO AMAX * TMAX TEST EVENTS AND ANALYZES EVENTS FOR DESIRED VALUES OF K0, WITH E.G. K0 = 6 AND L0 = 51. INITIAL TEST EVENTS USED TO GENERATED TRANSLATED TEST EVENTS RESIDE IN THE FILE STAT559.INP. THE SEQUENCE OF ROW VECTORS WHOSE ELEMENTS ARE DOTTED WITH ROWS OF A IN EACH DOT PRODUCT RESIDES IN THE FILE STAT559.IN2. FILTERING IN STAT559 IS FURTHER REFINED BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > (MOD T), FOR SOME DESIRED INTEGER T AND SOME DESIRED INTEGERS M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 . ============================================================================== -- L 560 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF SIZE ENUM(I), FOR I = 1 , .... , PNUM AND GENERATES A SEQUENCE OF PNUM TEST EVENTS CORRESPONDING TO EACH INPUT PERMUTATION, WITH ENUM(I) DIVISIBLE BY K0 FOR EACH I. EACH GENERATED K0-ELEMENT TEST EVENT CONSISTS OF K0 (ENUM(I)/K0)-TERM AVERAGES. A (K0 x 3)-DIMENSIONAL BLOCK OF ELEMENTS IS ALSO GENERATED WHICH CORRESPONDS TO EACH INPUT PERMUTATION, WHERE EACH ROW CONSISTS OF THE AVERAGE AND TWO ENDPOINTS OF EACH (ENUM(I)/K0)-TERM SUB-INTERVAL OF EACH INPUT PERMUTATION. THE TRANSPOSE OF THE GENERATED PNUM x K0 BLOCK OF TEST EVENTS IS ALSO PRINTED FOR FURTHER ANALYSIS IN. PERMUTATION ELEMENTS ARE JUDICIOUSLY DISTRIBUTED IN (K0 x NCOLS)-DIMENSIONAL BLOCKS IN STAT415.INP SO AS TO MINIMIZE THE OCCURRENCE OF ELEMENTS WITHIN THE SAME ROW OF ANY GIVEN OUTPUT BLOCK. MOREOVER, STAT560 READS A SEQUENCE OF STAR EVENTS AND DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE PNUM GENERATED TEST EVENTS. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, ... , K0's ARE COMPUTED AS CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND THE SUCCESSIVE EVENT TO THE SELECTED STAR EVENT FOR UP TO 400 STAR EVENTS AND 400 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. STAT560 IS A VARIANT AND EMBELLISHMENT OF STAT416 AND STAT476. PNUM MAY RANGE UP TO 124 AND ENUM(I) MAY RANGE UP TO 51 FOR EACH I = 1, ... , PNUM. STAT560 IS A VARIANT OF STAT553, BUT PERMUTATIONS, AS WELL AS, TEST EVENTS ARE GENERATED. STAT560 GENERATES STAT562.INP, A VERY IMPORTANT INPUT FILE FOR STAT562. ============================================================================== -- L 561 -- READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF NUMM(K) COLUMN TRANSLATION PARAMETERS, K = 1 , ... , NCOLS , SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE TRANSLATED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT561 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT561 IS A VARIANT OF STAT556, BUT TRANSLATION PARAMETERS ARE READ FROM A FILE, STAT561.IN2, RATHER THAN BEING INPUT IN REAL TIME AT THE TERMINAL BY THE ANALYST. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT561.OT2. ============================================================================== -- L 562 -- READS A (PMAX x K0) - DIMENSIONAL INPUT BLOCK OF ELEMENTS (WHICH ARE NOT NECESSARILY DISTINCT) FROM THE INPUT FILE STAT562.INP AND GENERATES THE TRANSPOSE OF THE MATRIX REPRESENTING A SELECTED NUMBER OF UNIQUE ELEMENTS FROM EACH COLUMN OF THE INITIAL INPUT BLOCK OF ELEMENTS. A HEADER FOR EACH ROW INDICATES THE NUMBER OF ELEMENTS IN THAT ROW. STAT562 PROCESSES UP TO 100 INITIAL TEST EVENTS FROM THE INPUT BLOCK AND GENERATES A TRANSPOSED OUTPUT BLOCK AND SIX ADDITIONAL TRANSPOSED OUTPUT BLOCKS WHICH REFLECT THE ADDITION OF THE PARAMETERS IN [ -3,-2,-1,1,2,3 ] TO EACH ELEMENT OF THE FIRST GENERATED OUTPUT BLOCK. STAT562 PROCESSES UP TO 100 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT562 IS A VARIANT OF STAT561, BUT NO TRANSLATION PARAMETERS ARE READ. INTERSECTION FREQUENCIES BETWEEN (K0 x M0)-DIMENSIONAL OUTPUT BLOCKS AND A FINAL OR OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN THE FILE STAT562.OT2. STAT560 GENERATES THE IMPORTANT INPUT FILE, STAT562.INP, FOR THIS CODE. ============================================================================== -- L 563 -- READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF NUMM(K) COLUMN SELECTION PARAMETERS, K = 1 , ... , NCOLS , SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE TRANSLATED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT563 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT563 IS A VARIANT OF STAT561, BUT COLUMN SELECTION PARAMETERS ARE READ FROM THE FILE, STAT563.IN2, RATHER THAN COLUMN TRANSLATION PARAMETERS, ARE DETERMINED BY THE ANALYST. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT563.OT2. ============================================================================== -- L 564 -- (CYCLIC ROWS) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS , WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF FOUR ROW AND COLUMN INTERCHANGE PARAMETERS, SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS AND COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE TRANSLATED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. EXECUTION OF STAT564 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT564 IS A VARIANT OF STAT556 AND STAT565. SEE STAT565 FOR READING TRANSLATION PARAMETERS FROM AN INPUT FILE, RATHER THAN BY THE ANALYST IN REAL TIME AS IN STAT564. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT564.OT2. ============================================================================== -- L 565 -- (CYCLIC ROWS II) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF FOUR SELECTED ROW AND COLUMN NUMBERS, NAMELY, R1,R2,C1, AND C2, DETERMINED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS/COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE INTERCHANGED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT565 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT565 IS A VARIANT OF STAT564, BUT TRANSLATION PARAMETERS ARE READ FROM A FILE, STAT565.IN2, RATHER THAN BEING INPUT IN REAL TIME AT THE TERMINAL BY THE ANALYST. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT565.OT2. ============================================================================== -- L 566 -- (COLUMN SELECTOR) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF KCOLS COLUMN SELECTION PARAMETERS, K = 1 , ... , KCOLS , SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE SELECTED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x KCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. EXECUTION OF STAT566 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT566 IS A VARIANT OF STAT556 AND STAT561. SEE STAT567 FOR READING SELECTION PARAMETERS FROM AN INPUT FILE, RATHER THAN BY THE ANALYST IN REAL TIME AS IN STAT566. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT566.OT2. ============================================================================== -- L 567 -- (COLUMN SELECTOR II) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , J , WHERE THE PARAMETER J IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW AND A SEQUENCE, , OF KCOLS COLUMN SELECTION PARAMETERS, K = 1 , ... , KCOLS , SELECTED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE SELECTED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x KCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. EXECUTION OF STAT567 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT567 IS A VARIANT OF STAT556 AND STAT561. SEE STAT566 FOR INPUTTING OF COLUMN SELECTION PARAMETERS BY THE ANALYST IN REAL TIME, RATHER THAN FROM AN INPUT FILE. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT567.OT2. ============================================================================== -- L 568 -- (CYCLIC ROWS/CYCLIC COLUMNS III) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF FOUR SELECTED ROW AND COLUMN NUMBERS, NAMELY, R1,R2,C1, AND C2, DETERMINED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS/COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE INTERCHANGED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT568 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT568 IS A VARIANT OF STAT565, WITH TRANSLATION PARAMETERS READ FROM A FILE, STAT568.IN2 AND ELEMENTS OF SELECTED COLUMN C1 ARE CYCLICALLY ROTATED ONE POSITION, PRIOR TO BEING INTERCHANGED WITH ROW ELEMENTS R1 AND R2 OF COLUMN C2. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT568.OT2. ============================================================================== -- L 569 -- (CYCLIC ROWS/CYCLIC COLUMNS IV) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF FOUR SELECTED ROW AND COLUMN NUMBERS, NAMELY, R1,R2,C1, AND C2, DETERMINED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS/COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE INTERCHANGED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT569 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT569 IS A VARIANT OF STAT568, WITH TRANSLATION PARAMETERS READ FROM A FILE, STAT569.IN2 AND ELEMENTS OF SELECTED COLUMN C1 ARE CYCLICALLY ROTATED BY 1, 2, 3, ... , K0 POSITIONS, INSTEAD OF ONLY ONE POSITION AS IN STAT568, PRIOR TO BEING INTERCHANGED WITH ROW ELEMENTS R1 AND R2 OF COLUMN C2. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT569.OT2. ============================================================================== -- L 570 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 5 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS. STAT570 READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY REPLACEMENT WITH AN APPROPRIATE ELEMENT. EACH INPUT PERMUTATION GENERATES A NEW INPUT PERMUTATION BY REPLACING THOSE ELEMENTS IN ONE SUBSEQUENCE BY AN ELEMENT IN A SECOND SEQUENCE WHICH IS WITHIN A DESIRED DISTANCE FROM THE INITIAL ELEMENT. STAT570 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 571 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x 5 - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP OR STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS. STAT571 READS A SEQUENCE OF INPUT PERMUTATIONS AND MODIFIES ELEMENTS OF EACH PERMUTATION BY REPLACEMENT WITH AN APPROPRIATE ELEMENT. EACH INPUT PERMUTATION GENERATES A NEW INPUT PERMUTATION BY REPLACING THOSE ELEMENTS IN ONE SUBSEQUENCE BY AN ELEMENT IN A SECOND SEQUENCE WHICH IS WITHIN A DESIRED DISTANCE FROM THE INITIAL ELEMENT. STAT571 IS A VARIANT OF STAT570, BUT THE ABSOLUTE VALUE OR NUMERICAL DISTANCE BETWEEN PERMUTATION ELEMENTS SERVES AS A MECHANISM FOR DETERMINING WHICH ELEMENTS WILL BE INTERCHANGED IN EACH PERMUTATION. STAT571 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 572 -- READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.I STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATI STAT572 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY SELECTING ELEMENTS FROM M0-ELEMENT STRINGS OF EACH INPUT PERMUTATION, BASED UPON DESIRED INDEXES (MOD M0) FROM THE FILE STAT572.INP. THIS ALLOWS FOR THE SELECTION OF Q0-ELEMENT SUBSTRINGS FROM EACH M0-ELEMENT STRING OF EACH INPUT PERMUTATION. VARIOUS COMBINATIONS OF THESE SUBSTRINGS ARE DESIGNE TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE STAT572 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERM ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT A THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIV STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 573 -- (CYCLIC ROWS/CYCLIC COLUMNS V) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF FOUR SELECTED ROW AND COLUMN NUMBERS, NAMELY, R1 , R2 , R3 , C1 , C2 , AND C3, DETERMINED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS/COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE INTERCHANGED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT573 PROCESSES UP TO 200 TEST EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT573 IS A VARIANT OF STAT569, WITH TRANSLATION PARAMETERS READ FROM A FILE, STAT573.IN2 AND ELEMENTS OF SELECTED COLUMN C1 ARE CYCLICALLY CYCLICALLY ROTATED BY 1, 2, 3, 4, ... , K0 POSITIONS, INSTEAD OF ONLY ONE POSITION AS IN STAT568, PRIOR TO BEING INTERCHANGED WITH ROW ELEMENTS R1 , R2 , AND R3 OF COLUMN C2. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT573.OT2. ============================================================================== -- L 574 -- ( CYCLIC ROWS/CYCLIC COLUMNS VI ) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF FOUR SELECTED ROW AND COLUMN NUMBERS, NAMELY, R1 , R2 , R3 , C1 , C2 , AND C3, DETERMINED BY THE ANALYST, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING ROWS/COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE INTERCHANGED TO GENERATE A NEW SEQUENCE, , OF OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT574 PROCESSES UP TO 200 TEST EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT574 IS A VARIANT OF STAT573, BUT ELEMENTS FROM TWO DISTINCT COLUMNS ARE INTERCHANGED WITH ELEMENTS OF A SELECTED COLUMN FROM EACH INPUT BLOCK IN STAT574.INP. TRANSLATION PARAMETERS ARE READ FROM A FILE, STAT574.IN2 AND ELEMENTS OF SELECTED COLUMN C1 ARE CYCLICALLY CYCLICALLY ROTATED BY 1, 2, 3, 4, ... , K0 POSITIONS, INSTEAD OF ONLY ONE POSITION AS IN STAT568, PRIOR TO BEING INTERCHANGED WITH ROW ELEMENTS R1 , R2 , AND R3 OF COLUMN C2. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT574.OT2. ============================================================================== -- L 575 -- ( ROTATION WITHIN SELECTED STRINGS ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT575 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY ROTATING DESIRED SUB-STRINGS FROM EACH INPUT PERMUTATON, BASED UPON DESIRED INDEX RANGES INPUT BY THE ANALYST. VARIOUS COMBINATIONS OF THESE SUBSTRINGS ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. THIS PROCESS IS THEN CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. STAT575 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT575 IS A VARIANT OF STAT572, BUT SELECTED SUBSTRINGS ARE CYCLICALLY ROTATED. ============================================================================== -- L 576 -- ( PERMUTATION OF STRINGS ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT576 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY INTERCHANGING OR PERMUTING 3 SELECTED STRINGS, BASED UPON DESIRED PERMUTATION INDEXES INPUT BY THE ANALYST. VARIOUS PERMUTATIONS OF THESE STRINGS ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. THIS PROCESS IS THEN CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. STAT576 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT576 IS A VARIANT OF STAT575, BUT SELECTED STRINGS ARE PERMUTED, INSTEAD OF HAVING THE PROGRAM ROTATE ELEMENTS WITHIN STRINGS. STAT576 READS UP TO 100 INITIAL PERMUTATIONS IN PERM.INP, EACH HAVING CARDINALITY EQUAL TO A MULTIPLE OF K0. ============================================================================== -- L 577 -- ( TRANSLATED ROWS/TRANSLATED COLUMNS I ) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW. A SEQUENCE OF K0-ELEMENT TRANSLATION PARAMETER VECTORS IS READ AND ADDED TO THE K0 ROWS OF EACH (K0 x NCOLS) BLOCK TO GENERATE A NEW SEQUENCE, , OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT577 PROCESSES UP TO 200 TEST EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT577 IS A VARIANT OF STAT574, BUT ELEMENTS FROM DISTINCT COLUMNS ARE NOT INTERCHANGED WITH ELEMENTS OF A SELECTED COLUMN FROM EACH INPUT BLOCK IN STAT577.INP. TRANSLATION PARAMETERS ARE READ FROM FILE STAT577.IN2 AND ARE SELECTIVELY ADDED TO (OR SUBTRACTED FROM) ROWS 1,2, ... , K0 OF EACH ( K0 x NCOLS) - DIMENSIONAL INPUT BLOCK IN THE INPUT FILE, STAT577.INP. MOREOVER, INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT577.OT2. ============================================================================== -- L 578 -- ( TRANSLATED ROWS/TRANSLATED COLUMNS II ) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW. A SEQUENCE OF K0-ELEMENT TRANSLATION PARAMETERS OF THE FORM TT = ((-1)**(II+K+J)) + MOD(K,2) , K = 1, ... , K0 IS GENERATED AND ADDED TO THE K0 ROWS OF EACH (K0 x NCOLS) BLOCK TO GENERATE A NEW SEQUENCE, , OF KMAX NEW (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT578 PROCESSES UP TO 200 TEST EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT578 IS A VARIANT OF STAT574, BUT ELEMENTS FROM DISTINCT COLUMNS ARE NOT INTERCHANGED WITH ELEMENTS OF A SELECTED COLUMN FROM EACH INPUT BLOCK IN STAT578.INP. TRANSLATION PARAMETERS ARE GENERATED INTERNALLY AND ARE SELECTIVELY ADDED TO (OR SUBTRACTED FROM) ROWS 1,2, ... , K0 OF EACH ( K0 x NCOLS) - DIMENSIONAL INPUT BLOCK IN THE INPUT FILE, STAT578.INP. MOREOVER, INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT578.OT2. STAT578 IS A VARIANT OF STAT577, BUT TRANSLATION PARAMETERS ARE NOT READ FROM A FILE. TRANSLATIONS ARE CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES. ============================================================================== -- L 579 -- ( TRANSLATION OF PERMUTATION ELEMENTS ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT579 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY ADDING A SEQUENCE OF N * PNUM PERMUTATIONS RESULTING FROM ADDING A SEQUENCE OF N ELEMENTS TO EACH OF THE ENUM(I) ELEMENTS OF THE PNUM INITIAL INPUT PERMUTATIONS, I = 1 , ... , PNUM. TRANSLATIONS OF THE VARIOUS PERMUTATION ELEMENTS ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. THIS PROCESS IS THEN CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. STAT579 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT579 IS A VARIANT OF STAT576, BUT PERMUTATION ELEMENTS ARE TRANSLATED, INSTEAD OF HAVING THE PROGRAM ROTATE ELEMENTS WITHIN STRINGS. STAT579 READS UP TO 12 INITIAL PERMUTATIONS IN PERM.INP. IT IS OPTIMAL THAT EACH ADJACENT PAIR OF INPUT PERMUTATION ELEMENTS DIFFER BY AT LEAST FIVE UNITS. SEE STAT581 FOR THE VERSION WHICH READS TRANSLATION PARAMETERS FROM AN INPUT FILE, RATHER THAN FROM THE ANALYST IN REAL TIME. ============================================================================== -- L 580 -- ( ROTATION OF ELEMENTS WITHIN SELECTED COLUMNS ) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW, AND A BLOCK OF M0 SELECTED PAIRS OR TRIPLES OR QUADRUPLES, ETC., OF SPECIFIED COLUMN NUMBERS, BY WHICH POSITIONS OF ELEMENTS IN CORRESPONDING COLUMNS OF EACH (K0 x NCOLS)-DIMENSIONAL BLOCK IN ARE ROTATED TO GENERATE A NEW SEQUENCE, , OF KMAX ROTATED (K0 x NCOLS)-DIMENSIONAL BLOCKS OF ELEMENTS. STAT580 PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, . A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR CARDINALITIES ARE IDENTIFIED. STAT580 IS A VARIANT OF STAT569, WITH COLUMN ROTATION PARAMETERS READ FROM A FILE, STAT580.IN2 AND ELEMENTS OF SELECTED COLUMNS ARE CYCLICALLY ROTATED BY VARIOUS M0-ELEMENT COMBINATIONS OF VALUES DETERMINED BY THE ANALYST. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT580.OT2. ============================================================================== -- L 581 -- ( TRANSLATION OF PERMUTATION ELEMENTS II ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT581 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY ADDING A SEQUENCE OF N * PNUM PERMUTATIONS RESULTING FROM ADDING A SEQUENCE OF N ELEMENTS TO EACH OF THE ENUM(I) ELEMENTS OF THE PNUM INITIAL INPUT PERMUTATIONS, I = 1 , ... , PNUM. TRANSLATIONS OF THE VARIOUS PERMUTATION ELEMENTS ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. THIS PROCESS IS THEN CYCLICALLY REPEATED ANY DESIRED NUMBER OF TIMES. STAT581 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT581 IS A VARIANT OF STAT579, BUT PERMUTATION ELEMENTS ARE TRANSLATED, INSTEAD OF HAVING THE PROGRAM ROTATE ELEMENTS WITHIN STRINGS. STAT581 READS UP TO 12 INITIAL PERMUTATIONS IN PERM.INP AND UP TO 600 TRANSLATION PARAMETERS IN FILE STAT581.INP. IT IS OPTIMAL THAT EACH ADJACENT PAIR OF INPUT PERMUTATION ELEMENTS DIFFER BY AT LEAST FIVE UNITS. SEE STAT579 FOR THE VERSION WHICH ACCEPTS TRANSLATION PARAMETERS FROM THE ANALYST IN REAL TIME. ============================================================================== -- L 582 -- ( SELECTION OF BLOCK ELEMENTS VIA A COLUMN INDEX FILE ) READS A (K0 x NCOLS)-DIMENSIONAL BLOCK, , ON ELEMENTS , B(K,L) , K = 1 , ... , K0 AND L = 1 , ... , NCOLS, WHERE THE PARAMETER NCOLS IS A DESIRED NUMBER OF COLUMNS SELECTED BY THE ANALYST, WITH A HEADER FOR EACH ROW INDICATING THE NUMBER OF ELEMENTS IN THAT ROW (FROM INPUT FILE STAT582.INP, AND A BLOCK OF M0 SELECTED PAIRS OR TRIPLES OR QUADRUPLES ETC., OF SPECIFIED COLUMN NUMBERS FROM WHICH K0-ELEMENT EVENTS ARE GENERATED BY SELECTING DESIRED ELEMENTS VIA INDEXES FROM A SECOND INPUT FILE, STAT582.IN2. A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED STAR EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH NEW GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR RESPECTIVE CARDINALITIES ARE IDENTIFIED. STAT582 IS A VARIANT OF STAT580, BUT THERE IS NO ROTATION OF ELEMENTS IN THE COLUMNS OF INPUT BLOCKS. INTERSECTION FREQUENCIES BETWEEN (K0 x NCOLS)-DIMENSIONAL INPUT BLOCKS AND A FINAL OR SUCCESSIVE STAR EVENT ARE DETERMINED AND DISPLAYED IN STAT582.OT2. ============================================================================== -- L 583 -- ( INTERCHANGING PAIRS OR TRIPLETS OF ELEMENTS IN SUCCESSIVE PAIRS OF TEST EVENTS TO GENERATE HIGH-PROBABILITY EVENTS ) READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS ON ELEMENTS 1, 2, ... , L0 AND INTERCHANGES ALL POSSIBLE PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE SUCCESSIVE PAIRS OF EVENTS TO GENERATE A NEW SEQUENCE OF NEW HIGH-PROBABILITY TEST EVENTS. A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED STAR EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH NEW GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR RESPECTIVE CARDINALITIES ARE IDENTIFIED. STAT583 IS A VARIANT OF STAT582, BUT INPUT TEST EVENTS IN STAT583.INP ARE ANTICIPATED TO BE IN LEXICOGRAPHIC ORDER AND FILTERED ACCORDING TO PIVOTS IN SELECTED COLUMNS. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURRING INTERSECTION FREQUENCIES OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH SELECTED STAR EVENT SUCCESSOR. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 584 -- ( HORIZONTAL ROTATION OF EVEN-INDEXED INPUT EVENTS BY SELECTED INCREMENTS AND INTERCHANGING PAIRS OR TRIPLETS OF ELEMENTS IN SUCCESSIVE PAIRS OF TEST EVENTS TO GENERATE HIGH-PROBABILITY EVENTS ) READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS ON ELEMENTS 1, 2, ... , L0 AND INTERCHANGES ALL POSSIBLE PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE SUCCESSIVE PAIRS OF EVENTS TO GENERATE A NEW SEQUENCE OF NEW HIGH-PROBABILITY TEST EVENTS. A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED STAR EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH NEW GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR RESPECTIVE CARDINALITIES ARE IDENTIFIED. STAT584 IS A VARIANT OF STAT583, BUT INPUT TEST EVENTS IN STAT584.INP ARE ANTICIPATED TO BE IN LEXICOGRAPHIC ORDER AND FILTERED ACCORDING TO PIVOTS IN SELECTED COLUMNS. INPUT TEST EVENTS OF EVEN INDEX ARE HORIZONTALLY ROTATED BY DESIRED INCREMENTS AND USED TO GENERATE ADDITIONAL TEST EVENTS, AS ABOVE. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURRING INTERSECTION FREQUENCIES OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH SELECTED STAR EVENT SUCCESSOR. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 585 -- ( HORIZONTAL ROTATION OF EVEN-INDEXED INPUT EVENTS BY SELECTED INCREMENTS AND INTERCHANGING PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE PAIRS OF TEST EVENTS TO GENERATE HIGH-PROBABILITY EVENTS ) READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS ON ELEMENTS 1, 2, ... , L0 AND INTERCHANGES ALL POSSIBLE PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE SUCCESSIVE PAIRS OF EVENTS TO GENERATE A NEW SEQUENCE OF NEW HIGH-PROBABILITY TEST EVENTS. A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED STAR EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH NEW GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR RESPECTIVE CARDINALITIES ARE IDENTIFIED. STAT585 IS A VARIANT OF STAT584, BUT INPUT TEST EVENTS IN STAT585.INP ARE ANTICIPATED TO BE IN LEXICOGRAPHIC ORDER AND FILTERED ACCORDING TO PIVOTS IN SELECTED COLUMNS. MOREOVER, ALL POSSIBLE PAIRS OF INPUT EVENTS ARE USED TO GENERATE NEW TEST EVENTS, RATHER THAN SUCCESSIVE PAIRS ONLY, AS IN STAT584. INPUT TEST EVENTS OF EVEN INDEX ARE HORIZONTALLY ROTATED BY DESIRED INCREMENTS AND USED TO GENERATE ADDITIONAL TEST EVENTS, AS ABOVE. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURRING INTERSECTION FREQUENCIES OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH SELECTED STAR EVENT SUCCESSOR. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 586 -- ( HORIZONTAL ROTATION OF EVEN-INDEXED INPUT EVENTS BY SELECTED INCREMENTS AND INTERCHANGING PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE TRIPLETS OF TEST EVENTS TO GENERATE HIGH-PROBABILITY EVENTS ) READS A SEQUENCE OF BMAX K0-ELEMENT EVENTS ON ELEMENTS 1, 2,..., L0 AND INTERCHANGES ALL POSSIBLE PAIRS OR TRIPLETS OF ELEMENTS IN ALL POSSIBLE SUCCESSIVE TRIPLETS OF EVENTS TO GENERATE A NEW SEQUENCE OF NEW HIGH-PROBABILITY TEST EVENTS. A SEQUENCE OF IMAX STAR EVENTS IS ALSO READ AND THE ANALYST IS QUERIED FOR A DESIRED STAR EVENT NUMBER WHOSE SUCCESSOR IS INTERSECTED WITH EACH NEW GENERATED TEST BLOCK FOR WHICH COMMON ELEMENTS AND THEIR RESPECTIVE CARDINALITIES ARE IDENTIFIED. STAT586 IS A VARIANT OF STAT585, BUT INPUT TEST EVENTS IN STAT586.INP ARE ANTICIPATED TO BE IN LEXICOGRAPHIC ORDER AND FILTERED ACCORDING TO PIVOTS IN SELECTED COLUMNS. MOREOVER, ALL POSSIBLE TRIPLETS OF INPUT EVENTS ARE USED TO GENERATE NEW TEST EVENTS, RATHER THAN ALL POSSIBLE PAIRS, AS IN STAT584. INPUT TEST EVENTS OF EVEN INDEX ARE HORIZONTALLY ROTATED BY DESIRED INCREMENTS AND USED TO GENERATE ADDITIONAL TEST EVENTS, AS ABOVE. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES. MOREOVER, THE NUMBER AND PERCENTAGE OF OCCURRING INTERSECTION FREQUENCIES OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN TEST EVENTS AND EACH SELECTED STAR EVENT SUCCESSOR. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. ============================================================================== -- L 587 -- ( SELECTION OF HEAD AND TAIL SUB-PERMUTATION ELEMENTS ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT587 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY SELECTING A DESIRED NUMBER OF ELEMENTS FROM THE HEAD AND TAIL OF EACH INPUT PERMUTATION CONSISTING OF ENUM(I) ELEMENTS FOR THE PNUM INITIAL INPUT PERMUTATIONS, I = 1 , ... , PNUM. SELECTIONS OF THE PAIRS OF PERMUTATION SUB-SEQUENCES ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. STAT587 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT587 IS A VARIANT OF STAT581, BUT VARIOUS SUB-PERMUTATIONS ARE SELECTED, INSTEAD OF HAVING THE PROGRAM TRANSLATE ELEMENTS WITHIN PERMUTATIONS. STAT587 READS UP TO 20 INITIAL PERMUTATIONS IN PERM.INP, EACH OF WHICH RESULTS IN 5 OUTPUT SUB-PERMUTATIONS. ============================================================================== -- L 588 -- ( SELECTION OF INTERMEDIATE SUB-PERMUTATION ELEMENTS ) READS A SEQUENCE OF PNUM PERMUTATIONS OF VARIABLE SIZES DEFINED ON A SUBSET OF THE SET, < 1, 2, ... , L0 >, AND GENERATES SETS OF K0 x NCOL - DIMENSIONAL BLOCKS OF ELEMENTS TO BE USED IN STAT361.INP., STAT415.INP OR ANOTHER PROGRAM, AS WELL AS A SEQUENCE OF PERMUTATIONS STAT588 READS A SEQUENCE OF INPUT PERMUTATIONS AND GENERATES A NEW SEQUENCE OF PERMUTATIONS BY SELECTING A DESIRED NUMBER OF ELEMENTS FROM THE HEAD AND TAIL OF EACH INPUT PERMUTATION CONSISTING OF ENUM(I) ELEMENTS FOR THE PNUM INITIAL INPUT PERMUTATIONS, I = 1 , ... , PNUM. SELECTIONS OF THE PAIRS OF PERMUTATION SUB-SEQUENCES ARE DESIGNED TO GENERATE HIGH-PROBABILITY OUTPUT PERMUTATIONS FOR GENERIC USAGE. STAT588 ALSO READS A SET OF UP TO 400 STAR EVENTS AND THE ANALYST SELECTS ARE DESIRED RANGE OF STAR EVENTS. THE ROUTINE THEN DETERMINES ELEMENTS IN COMMON BETWEEN THE SUCCESSOR OF A DESIRED STAR EVENT AND THE SET OF ELEMENTS GENERATED FROM EACH INPUT PERMUTATION. THIS PROCESS IS CYCLICALLY REPEATED FOR A DESIRED SEQUENCE OF SUCCESSIVE STAR EVENTS AND THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS ARE FLAGGED AS THEY OCCUR AMONG AMONG THE ELEMENTS OF EACH OUTPUT PERMUTATION IN (PERM.OUT) WHICH MAY BE UTILIZED AS INPUT FOR FILE (PERM.INP) IN STAT491. MOREOVER, THE NUMBER AND PERCENTAGE OF 0's , 1's, 2's, 3's, 4's, ... , K0's ARE COMPUTED AS DETERMINED CARDINALITIES OF INTERSECTION NUMBERS BETWEEN PERMUTATIONS AND EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND A DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT588 IS A VARIANT OF STAT587, BUT SUB-PERMUTATIONS ARE CHOSEN WHICH BEGIN AT A SELECTED SEQUENCE OF ALPHA INDEXES FROM INPUT PERMUTATIONS. STAT588 READS UP TO 20 INITIAL PERMUTATIONS IN PERM.INP, EACH OF WHICH RESULTS IN UP TO ALPHA OUTPUT SUB-PERMUTATIONS. ==============================================================================