= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by James Ervin Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part III(a) ( STAT 333 ----> STAT 369 ) = = = = = = = = = = = = 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 333 ---> 369 * * * ====================================================================== -- L 333 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND GENERATES, FOR SEQUENCES OF KMAX EVENTS, A SEQUENCE OF DESIRED SUCCESSIVE KMAX- ELEMENT SUMS, AS WELL AS, A SET OF 2*(JMAX-KMAX+1) MOVING AVERAGES FOR EACH OF THE K0 COLUMNS OF THE (JMAX x K0)-ELEMENT ARRAY OF EVENTS. A SEQUENCE OF JMAX-KMAX+2 HIGH PROBABILITY ELEMENTS, C(I,J), IS ALSO PREDICTED, FOR I = 1, ... , JMAX-KMAX+2 AND J = 1, ... , K0. THE ANALYST IS PROMPTED FOR THE DESIRED VALUE OF KMAX AND JMAX, AND MOVING AVERAGES ARE COMPUTED FOR THE IMAX ELEMENTS IN EACH OF THE K0 COLUMNS OF THE IMAX STAR EVENTS. MOVING AVERAGE ELEMENTS ARE ROUNDED EITHER UP OR DOWN, BY CHOICE, TO COMPLETE THE SEQUENCE, WHERE IMAX RANGES UP TO 350. THE ANALYST IS PROMPTED FOR A DESIRED TRANSLATION FACTOR TO BE ADDED TO ELEMENTS OF EACH GENERATED COLUMN OF PERMUTATION ELEMENTS. THIS PROCESS IS REPEATED CYCLICALLY AND ADDS OR SUBTRACTS A DESIRED TRANSLATION FACTOR, J0, TO OR FROM EACH ELEMENT OF EACH K0-ELEMENT EVENT, DEPENDING UPON WHETHER OR NOT EACH ELEMENT IS CONGRUENT TO i (MOD j), WHERE i AND j ARE CHOSEN INTEGERS AND i IS AN ELEMENT OF A DESIRED VECTOR, , OF NOT NECESSARILY DISTINCT ELEMENTS. THIS ROUTINE IS A VARIANT OF STAT 330, BUT ONLY ELEMENTS BELONGING TO DESIRED EQUIVALENCE CLASSES ARE AFFECTED BY THE DESIRED TRANSLATION PARAMETER. ============================================================================== -- L 334 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS AND A SET OF K0 PERMUTATION SEQUENCES ON ELEMENTS FROM THE SET, < 1, 2, ... , L0 > , AND REDUCES THE K0 SIZES OF THE K0 SEQUENCES IN SUCH A WAY THAT EACH ELEMENT IN THE SET < 1, 2, ... , L0 > OCCURS, AT MOST, ONCE. THUS, ALL REPETITIONS OF ELEMENTS AMONG THE K0 PERMUTATION SEQUENCES ARE ELIMINATED AND THE PERMUTATIONS ARE PREPARED FOR ANALYSIS BY STAT 201. THE ANALYST IS ALSO PROMPTED FOR A DESIRED FINAL EVENT, JMAX, AMONG THE IMAX STAR EVENTS AND SUCCEEDING EVENT NUMBER JMAX+1 IS INTERSECTED WITH EACH OF THE K0 NEW PERMUTATION SEQUENCES, WITH COMMON ELEMENTS IDENTIFIED. ============================================================================== -- L 335 -- READS A SEQUENCE, , OF JMAX K0-ELEMENT TEST EVENTS AND A SECOND SEQUENCE, , OF KMAX K0-ELEMENT TEST EVENTS AND ADDS THE ELEMENTS OF EACH EVENT IN TO THE CORRESPONDING ELEMENTS IN EACH COLUMN OF EACH EVENT OF , GENERATING A NEW SEQUENCE, , OF JMAX * KMAX K0-ELEMENT EVENTS. THE EXECUTION PROCESSES UP TO 200 EVENTS FROM INPUT SEQUENCE, , AND 50 EVENTS FROM INPUT SEQUENCE, . THE ROUTINE DETERMINES THE NUMBER OF ELEMENTS IN COMMON BETWEEN THE EVENT SUCCEEDING A SELECTED STAR EVENT (IF IT EXISTS) AND EACH OF THE LMAX 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 600 STAR EVENTS AND 600 TEST EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENTS AND THE SUCCESSIVE STAR EVENT. ============================================================================== -- L 336 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SET OF PNUM PERMUTATION SEQUENCES ON ELEMENTS FROM THE SET, < 1, 2, ... , L0 > , AND A SEQUENCE OF SELECTED INTEGERS (MOD KK) , WHERE KK IS ANY INTEGER SELECTED BY THE ANALYST IN REAL TIME. A DESIRED INTEGRAL VALUE OR TRANSLATION PARAMETER, ALPHA, IS ADDED TO EACH ELEMENT OF EACH INPUT PERMUTATION, DEPENDING UPON WHETHER OR NOT THE INDEX OF EACH SUCH ELEMENT IS CONGRUENT TO ONE OF THE ELEMENTS (MOD KK) IN THE INPUT SEQUENCE OF SELECTED INTEGERS, WHERE UP TO 12 DISTINCT INTEGERS ARE CHOSEN FOR EACH INPUT SEQUENCE. CONSEQUENTLY, A NEW SEQUENCE OF PNUM PERMUTATIONS IS GENERATED FROM THE FIRST, BASED UPON THE DESIRED ALPHA-TRANSLATIONS. A DESIRED FINAL EVENT NUMBER, JMAX, IS SELECTED AMONG THE IMAX STAR EVENTS AND THE SUCCESSIVE EVENT IS INTERSECTED WITH EACH GENERATED PERMUTATION TO DETERMINE COMMON ELEMENTS. ============================================================================== -- L 337 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF KMAX TEST EVENTS ON K0 ELEMENTS FROM THE SET, < 1, 2, ... , L0 > , AND A SEQUENCE OF SELECTED INTEGERS (MOD KK) , WHERE KK IS ANY INTEGER SELECTED BY THE ANALYST IN REAL TIME. A DESIRED INTEGRAL OR TRANSLATION PARAMETER, ALPHA, IS ADDED TO EACH ELEMENT OF EACH INPUT TEST EVENT, DEPENDING UPON WHETHER OR NOT THE INDEX OF EACH SUCH ELEMENT IS CONGRUENT TO ONE OF THE ELEMENTS (MOD KK) IN THE INPUT SEQUENCE OF SELECTED INTEGERS, WHERE UP TO 12 DISTINCT INTEGERS ARE CHOSEN FOR EACH INPUT SEQUENCE. CONSEQUENTLY, A NEW SEQUENCE OF KMAX * NMAX NEW TEST EVENTS IS GENERATED, WHERE KMAX IS THE NUMBER INITIAL TEST EVENTS AND NMAX IS THE NUMBER OF EVENTS IN THE SEQUENCE OF SELECTED INTEGERS (MOD KK) , BASED UPON THE DESIRED ALPHA- TRANSLATIONS. A DESIRED FINAL EVENT NUMBER, JMAX, IS SELECTED AMONG THE IMAX STAR EVENTS AND THE SUCCESSIVE EVENT IS INTERSECTED WITH EACH NEW GENERATED TEST EVENT TO DETERMINE COMMON ELEMENTS. A SEQUENCE OF K0 PERMUTATIONS IS ALSO GENERATED FROM THE K0 COLUMNS OF THE GENERATED NEW SEQUENCE OF TEST EVENTS. ============================================================================== -- L 338 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF KMAX TEST EVENTS ON K0 ELEMENTS FROM THE SET, < 1, 2, ... , L0 > , AND A SEQUENCE OF SELECTED INTEGERS (MOD KK) , WHERE KK IS ANY INTEGER SELECTED BY THE ANALYST IN REAL TIME. A DESIRED INTEGRAL OR TRANSLATION PARAMETER, ALPHA, IS ADDED TO EACH ELEMENT OF EACH INPUT TEST EVENT, DEPENDING UPON WHETHER OR NOT THE SPECIFIC ELEMENT IS CONGRUENT TO ONE OF THE ELEMENTS (MOD KK) IN THE INPUT SEQUENCE OF SELECTED INTEGERS, WHERE UP TO 12 DISTINCT INTEGERS ARE CHOSEN FOR EACH INPUT SEQUENCE. CONSEQUENTLY, A NEW SEQUENCE OF KMAX * NMAX NEW TEST EVENTS IS GENERATED, WHERE KMAX IS THE NUMBER INITIAL TEST EVENTS AND NMAX IS THE NUMBER OF EVENTS IN THE SEQUENCE OF SELECTED INTEGERS (MOD KK) , BASED UPON THE DESIRED ALPHA- TRANSLATIONS. A DESIRED FINAL EVENT NUMBER, JMAX, IS SELECTED AMONG THE IMAX STAR EVENTS AND THE SUCCESSIVE EVENT IS INTERSECTED WITH EACH NEW GENERATED TEST EVENT TO DETERMINE COMMON ELEMENTS. A SEQUENCE OF K0 PERMUTATIONS IS ALSO GENERATED FROM THE K0 COLUMNS OF THE GENERATED NEW SEQUENCE OF TEST EVENTS. (VARIANT OF STAT 337 , WITH ELEMENTS (MOD KK), RATHER THAN INDICES OF ELEMENTS (MOD KK) , DETERMINING TRANSLATIONS. ============================================================================== -- L 339 -- READS AN ARBITRARY IMAX x K0 ARRAY OF INTEGER ELEMENTS, TWO SEQUENCES OF ARBITRARY PERMUTATION SETS OF SIZE K0, WHICH TACITLY IDENTIFY THE INDICES OF ELEMENTS CHOSEN FROM THE INITIAL IMAX x K0 ARRAY OF INTEGER ELEMENTS PROVIDED BY THE ANALYST, AND PRINTS A SEQUENCE OF HOMOGENEOUS K0-ELEMENT EVENTS FROM THE INITIAL IMAX x K0 ARRAY OF ELEMENTS, WHERE K0 MAY RANGE BETWEEN 2 AND 6, INCLUSIVELY. (STAT339 IS A VARIANT OF STAT224, WHICH READS AND ACTS ON A SEQUENCE OF QUASIGROUPS). ============================================================================== -- L 340 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT340.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING COLUMN K0-BETA IS ALSO GENERATED, WITH EACH ELEMENT, G(L), TRANSLATED BY A DESIRED VALUE , DEPENDING UPON WHETHER OR NOT IT IS CONGRUENT TO N (MOD KK) , FOR VARYING COMBINATIONS OF INDICES PER SEQUENCE, FOR DESIRED INTEGERS N AND KK. STAT340 IS A VARIANT STAT315. ============================================================================== -- L 341 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, PROMPTS THE ANALYST FOR A DESIRED FINAL EVENT, JMAX, AND A DESIRED NUMBER OF EVENTS, IBACK, TO BACK-UP FROM THE FINAL EVENT. THE AVERAGES OF THE IBACK ELEMENTS SELECTED IN EACH OF THE K0 COLUMNS ARE COMPUTED AND THESE AVERAGES, AS WELL AS DESIRED PARAMETERS ALPHA, BETA, AND MNUM, ARE USED TO GENERATE A SEQUENCE OF EVENTS DEFINED BY: B(M,J) = XNUM(M) * IAVG(J) - A(JMAX,J) FOR M = 1, 2, ... , MNUM AND J = 1, 2, ... , K0 AND WHERE THE COEFFICIENT XNUM(M) IS ONE OF A SEQUENCE OF INPUT VALUES XNUM(M), M = 1, 2, 3, ... , MNUM. WHERE THE VALUES OF XNUM(M) ARE READ FROM INPUT FILE STAT341.INP WITH FORMAT F11.4 FOR EACH OF THE MNUM VALUES. THE NUMBER OF ELEMENTS IN THE INTERSECTION OF EVENT NUMBER JMAX+1 AND EACH OF THE PREDICTED EVENTS IS DETERMINED, WHENEVER JMAX < IMAX , FOR 400 EVENTS. THE UPPER BOUND FOR THE NUMBER OF GENERATED EVENTS IS 400. A SEQUENCE OF PERMUTATIONS REPRESENTING COLUMN K0-BETA IS ALSO GENERATED, WITH EACH ELEMENT, G(L), TRANSLATED BY A DESIRED VALUE , DEPENDING UPON WHETHER OR NOT ITS INDEX IS CONGRUENT TO 0 OR 1 (MOD 2) , FOR VARYING COMBINATIONS OF INDICES PER SEQUENCE. STAT341 IS A VARIANT STAT340. ============================================================================== -- L 342 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, AN INITIAL PERMUTATION ON INUM ELEMENTS, AND A SEQUENCE OF PNUM PREVIOUSLY GENERATED PERMUTATIONS ON THE SET (0,1,-1) FROM STAT341 (PERM.INQ). EACH ELEMENT OF EACH PERMUTATION IN THE SEQUENCE IS SUBTRACTED FROM THE CORRESPONDING ELEMENT OF THE INITIAL PERMUTATION TO GENERATE A NEW SEQUENCE OF HIGH PROBABILITY PERMUTATIONS. ============================================================================== -- L 343 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, AND A SEQUENCE OF LMAX INITIAL K0-ELEMENT INPUT EVENTS ON ELEMENTS IN < 1, ... , L0 > . THE ANALYST IS PROMPTED FOR A DESIRED SEQUENCE OF K0 REAL-VALUED COEFFICIENTS, WHICH ARE USED TO GENERATE K0 ! REAL-VALUED PERMUTATION SEQUENCES, AS LINEAR COMBINATIONS OF THE K0 ELEMENTS OF THE INITIAL INPUT EVENTS. THE ELEMENTS IN EACH OF THE PERMUTATION SEQUENCES ARE MULTIPLIED BY THE CORRESPONDING ELEMENTS IN EACH OF THE LMAX INITIAL K0-ELEMENT INPUT EVENTS TO GENERATE LMAX x K0 ! NEW EVENTS. THE REAL-VAUED GENERATING COEFFICIENTS ARE REFINED, AS DESIRED, TO PRODUCE A QUASI-CONTINUOUS SEQUENCE OF TEST EVENTS, WHERE IMAX RANGES UP TO 400 , LMAX RANGES UP TO 5 AND K0 = 5. ============================================================================== -- L 344 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF MMAX 2-ELEMENT EVENTS, AND A SEQUENCE OF KMAX 3-ELEMENT PERMUTATIONS, REPRESENTING SELECTED INDICES OF THE MMAX 2-ELEMENT EVENTS, GENERATING A NEW SEQUENCE OF EVENTS DETERMINED AS ALL 3-EVENT COMBINATIONS OF THE MMAX 2-ELEMENT EVENTS. THIS PROVIDES FOR COVERING THE SPECTRUM OF 3-EVENT COMBINATIONS FROM THE INITIAL SEQUENCE OF MMAX 2-ELEMENT EVENTS. HENCE, ALL TEN 6-ELEMENT EVENTS CAN BE GENERATED FROM ANY FIVE 2-ELEMENT INITIAL EVENTS. ============================================================================== -- L 345 -- READS A SEQUENCE OF IMAX STAR EVENTS ON K0 ELEMENTS, A SEQUENCE OF PNUM PERMUTATION SEQUENCES, AND A SEQUENCE OF KMAX K0-ELEMENT PERMUTATIONS, REPRESENTING SELECTED INDICES OF THE PNUM J-ELEMENT PERMUTATIONS, GENERATING A NEW SEQUENCE OF EVENTS DETERMINED AS ALL K0-ELEMENT COMBINATIONS OF THE PNUM J-ELEMENT EVENTS. THIS PROVIDES FOR COVERING THE SPECTRUM OF K0-EVENT COMBINATIONS FROM THE INITIAL SEQUENCE OF PNUM J-ELEMENT PERMUTATIONS. ============================================================================== -- L 346 -- READS A SEQUENCE OF STAR EVENTS AND DETERMINES A SUBSEQUENCE OF EVENTS WHICH SUCCEED A SUBSEQUENCE OF EVENTS INTERSECTING A DESIRED CHOSEN EVENT IN (M1,..., M2) ELEMENTS, BACKING UP A DESIRED DISTANCE FROM THE FINAL CHOSEN EVENT. THE RESULTING MATRIX IS DESIGNED TO INDICATE WHICH ELEMENTS ARE MOST LIKELY TO OCCUR FOLLOWING THE FINAL CHOSEN EVENT, BASED UPON PATTERN RECOGNITION. THE ROUTINE ALSO DETERMINES THE SET OF ELEMENTS IN COMMON BETWEEN THE SET OF SUCCESSIVE EVENTS AND THE DESIRED FINAL EVENT. A SEQUENCE OF NEW TEST EVENTS IS ALSO GENERATED BY A SELECTION OF SPECIFIC COMBINATIONS OF ELEMENTS FROM THE INITIAL FILTERED SEQUENCE OF STAR EVENTS. THIS VERSION DOES NOT INCLUDE THE FINAL CHOSEN EVENT IN THE SET OF FILTERED HIGH-PROBABILITY ELEMENTS AND PROCESSES UP TO 600 STAR EVENTS AND 600 TEST EVENTS. ============================================================================== -- L 347 -- READS A SEQUENCE OF STAR EVENTS AND DETERMINES A SUBSEQUENCE OF EVENTS WHICH SUCCEED A SUBSEQUENCE OF EVENTS INTERSECTING A DESIRED CHOSEN EVENT IN (M1,..., M2) ELEMENTS, BACKING UP A DESIRED DISTANCE FROM THE FINAL CHOSEN EVENT. THE RESULTING MATRIX IS DESIGNED TO INDICATE WHICH ELEMENTS ARE MOST LIKELY TO OCCUR FOLLOWING THE FINAL CHOSEN EVENT, BASED UPON PATTERN RECOGNITION. THE ROUTINE ALSO DETERMINES THE SET OF ELEMENTS IN COMMON BETWEEN THE SET OF SUCCESSIVE EVENTS AND THE DESIRED FINAL EVENT. THE ANALYST IS QUERIED FOR THE MAXIMUM NUMBER OF DESIRED ELEMENTS TO BE GENERATED IN THE HIGH-PROBABILITY PERMUTATION SET. THE ROUTINE THEN CYCLICALLY DETERMINES THE OPTIMAL NUMBER OF EVENTS TO BACK-UP FROM THE FINAL CHOSEN STAR EVENT TO FILTER THE DESIRED NUMBER OF ELEMENTS. THIS VERSION DOES NOT INCLUDE THE FINAL CHOSEN EVENT. ============================================================================== -- L 348 -- READS A SEQUENCE OF STAR EVENTS AND DETERMINES A SUBSEQUENCE OF EVENTS WHICH SUCCEED A SUBSEQUENCE OF EVENTS INTERSECTING A DESIRED CHOSEN EVENT IN (M1,..., M2) ELEMENTS, BACKING UP A DESIRED DISTANCE FROM THE FINAL CHOSEN EVENT. THE RESULTING MATRIX IS DESIGNED TO INDICATE WHICH ELEMENTS ARE MOST LIKELY TO OCCUR FOLLOWING THE FINAL CHOSEN EVENT, BASED UPON PATTERN RECOGNITION. THE ROUTINE ALSO DETERMINES THE SET OF ELEMENTS IN COMMON BETWEEN THE SET OF SUCCESSIVE EVENTS AND THE DESIRED FINAL EVENT. A SEQUENCE OF NEW TEST EVENTS IS ALSO GENERATED BY A SELECTION OF SPECIFIC COMBINATIONS OF ELEMENTS FROM THE INITIAL FILTERED SEQUENCE OF STAR EVENTS. THIS VERSION DOES INCLUDE THE FINAL CHOSEN EVENT IN THE SET OF FILTERED HIGH-PROBABILITY ELEMENTS AND PROCESSES UP TO 600 STAR EVENTS AND 600 TEST EVENTS. (A VARIANT OF STAT348) ============================================================================== -- L 349 -- READS A SEQUENCE OF STAR EVENTS AND DETERMINES A SUBSEQUENCE OF EVENTS WHICH SUCCEED A SUBSEQUENCE OF EVENTS INTERSECTING A DESIRED CHOSEN EVENT IN AT LEAST M0 ELEMENTS, BACKING UP A DESIRED DISTANCE FROM THE FINAL CHOSEN EVENT. THE RESULTING MATRIX IS DESIGNED TO INDICATE WHICH ELEMENTS ARE MOST LIKELY TO OCCUR FOLLOWING THE FINAL CHOSEN EVENT, BASED UPON PATTERN RECOGNITION. THE ROUTINE ALSO DETERMINES THE SET OF ELEMENTS IN COMMON BETWEEN THE SET OF SUCCESSIVE EVENTS AND THE DESIRED FINAL EVENT. THE ANALYST IS QUERIED FOR THE MAXIMUM NUMBER OF DESIRED ELEMENTS TO BE GENERATED IN THE HIGH-PROBABILITY PERMUTATION SET. THE ROUTINE THEN CYCLICALLY DETERMINES THE OPTIMAL NUMBER OF EVENTS TO BACK-UP FROM THE FINAL CHOSEN STAR EVENT TO FILTER THE DESIRED NUMBER OF ELEMENTS. THIS VERSION INCLUDES THE FINAL CHOSEN EVENT IN THE SET OF FILTERED HIGH-PROBABILITY ELEMENTS. (A VARIANT OF STAT349). ============================================================================== -- L 350 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX 2-ELEMENT TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT280, STAT283, STAT346 OR STAT347. A SEQUENCE OF 10 x ( n C 3 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 5 OR 6 ELEMENTS, FROM EVERY POSSIBLE TRIPLICATE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 3 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS AND EACH SUCH EVENT CONSISTS OF HIGH-PROBABILITY ELEMENTS IN TWO COLUMNS ONLY (AS OPPOSED TO K0 = 5 OR K0 = 6 COLUMNS. (STAT350 IS A VARIANT OF STAT352). ============================================================================== -- L 351 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT280, STAT283, STAT346 OR STAT347. A SEQUENCE OF 12 x ( n C 2 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 SPECIFIC ELEMENTS FROM EVERY POSSIBLE PAIR OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 2 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. (STAT351 IS A VARIANT OF STAT350). ============================================================================== -- L 352 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT280, STAT283, STAT346 OR STAT347. A SEQUENCE OF 15 x ( n C 3 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 SPECIFIC ELEMENTS FROM EVERY POSSIBLE TRIPLICATE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 3 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. (STAT352 IS A VARIANT OF STAT350). ============================================================================== -- L 353 -- SKIP AND HIT MATRIX VII DETERMINES AND PRINTS THE NUMBER OF TIMES EACH ELEMENT ( 1, ... , L0) HAS OCCURRED AFTER SKIPPING ONE OR MORE EVENTS, i.e., RECORDS THE NUMBER OF TIMES EACH ELEMENT ( 1, ..., L0 ) HAS OCCURRED AFTER SKIPPING ANY SPECIFIC NUMBER OF EVENTS BETWEEN OCCURRENCES. THE ELEMENTS ( 1, ... , L0 ) ARE THEN RANKED IN DESCENDING ORDER, BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING ITS CURRENT NUMBER OF ELAPSED EVENTS. THE ANALYST IS QUERIED FOR A DESIRED MAXIMUM NUMBER OF HIGH-PROBABILITY ELEMENTS TO BE GENERATED AND A DESIRED FINAL EVENT, JMAX, THE SUCCESSOR OF WHICH IS TO BE INTERSECTED WITH THE SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED WHICH ARE COMMON TO EVENT JMAX+1 AND THE SEQUENCE OF GENERATED HIGH-PROBABILITY ELEMENTS. STAT353 IS A VARIANT OF STAT354 IN THAT THE ORDER OF PRINTING THE ELEMENTS FOR STAT350.INP IS ARRANGED CONSECUTIVELY BY ROW NUMBER RATHER THAN IN A BALANCED WAY (AS IS THE CASE FOR STAT354). ============================================================================== -- L 354 -- SKIP AND HIT MATRIX VIII DETERMINES AND PRINTS THE NUMBER OF TIMES EACH ELEMENT ( 1, ... , L0) HAS OCCURRED AFTER SKIPPING ONE OR MORE EVENTS, i.e., RECORDS THE NUMBER OF TIMES EACH ELEMENT ( 1, ..., L0 ) HAS OCCURRED AFTER SKIPPING ANY SPECIFIC NUMBER OF EVENTS BETWEEN OCCURRENCES. THE ELEMENTS ( 1, ... , L0 ) ARE THEN RANKED IN DESCENDING ORDER, BASED UPON THE NUMBER OF TIMES EACH ELEMENT HAS OCCURRED AFTER SKIPPING ITS CURRENT NUMBER OF ELAPSED EVENTS. THE ANALYST IS QUERIED FOR A DESIRED MAXIMUM NUMBER OF HIGH-PROBABILITY ELEMENTS TO BE GENERATED AND A DESIRED FINAL EVENT, JMAX, THE SUCCESSOR OF WHICH IS TO BE INTERSECTED WITH THE SEQUENCE OF HIGH-PROBABILITY ELEMENTS. ELEMENTS ARE IDENTIFIED WHICH ARE COMMON TO EVENT JMAX+1 AND THE SEQUENCE OF GENERATED HIGH-PROBABILITY ELEMENTS. STAT354 IS A VARIANT OF STAT353 IN THAT THE ORDER OF PRINTING THE ELEMENTS FOR STAT350.INP IS ARRANGED IN A BALANCED WAY, RATHER THAN CONSECUTIVELY BY ROW NUMBER (AS IS THE CASE FOR STAT353). ============================================================================== -- L 355 -- STAT355 COMPUTES AND PRINTS A "FREQUENCY CONFIGURATION MATRIX", INDICATING THE NUMBER OF EVENTS THAT EACH ELEMENT ( 1 ... k ) "SKIPS" BEFORE IT "OCCURS" AGAIN. IT DETERMINES OCCURRENCES FOR ELEMENTS vs. THE NUMBER OF SKIPS SINCE THE LAST OCCURRENCE; THE NUMBER OF "SINGLE OCCURRENCES" SINCE THE LAST "DOUBLE OCCURRENCE" OVER THE LAST m EVENTS; FREQUENCIES OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS, AND THEIR PERCENTAGES OF OCCURRENCE; A TABLE OF SORTED SDH-Ratios (Single-To-Double-Hit Ratios); GENERATES TABLES AND SEQUENCES OF HIGH-PROBABILITY ELEMENTS FROM BELOW-AVERAGE SDH-RATIOS, FROM SINGLE HITS vs. DOUBLE HITS, AND FROM SDH-RATIOS vs. # SINGLE OCCURRENCES OVER THE LAST m EVENTS; AND, DETERMINES A TABLE OF CONSECUTIVE OCCURRENCES WITH CORRESPONDING SDH-RATIOS, AVERAGES, AND RANKS WITH , e.g. , k = 51 AND m = 100 . (STAT355 CREATES THE INPUT FILES STAT353.INP AND STAT354.INP). ============================================================================== -- L 356 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS AND FILTERS TWO SEQUENCES OF ELEMENTS FROM FRONT AND DIAGONAL BANDS OF THE SEQUENCE OF TEST EVENTS. THE ANALYST IS QUERIED FOR A DESIRED BAND-WIDTH AND THE PROGRAM PROCEEDS TO FILTER TWO SEQUENCES OF HIGH-PROBABILITY ELEMENTS FROM THE INITIAL SEQUENCE OF TEST EVENTS. MOREOVER, THE ANALYST IS QUERIED FOR A DESIRED NUMBER OF EVENTS TO BACK-UP AUTOMATICALLY FROM THE FINAL ELEMENT GENERATED IN EACH OF COLUMNS 1 , ... , K0 OVER THE LMAX TEST EVENTS. THEN ANALYST IS ALSO QUERIED FOR A DESIRED FINAL EVENT AND THE SUCCESSIVE EVENT (IF ANY) IS INTERSECTED WITH BOTH SEQUENCES OF GENERATED ELEMENTS AND COMMON ELEMENTS ARE IDENTIFIED. THE ROUTINE PROCESSES UP TO 600 STAR EVENTS AND 600 TEST EVENTS. ============================================================================== -- L 357 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT213, STAT283, STAT346 OR STAT347. A SEQUENCE OF 18 x ( n C 3 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 SPECIFIC ELEMENTS FROM EVERY POSSIBLE TRIPLICATE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 3 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. (STAT357 IS A VARIANT OF STAT352). ============================================================================== -- L 358 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT256, STAT301, STAT280 OR STAT346. A SEQUENCE OF 81 x ( n C 4 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 5 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUADRUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. ON THE OTHER HAND, A SEQUENCE OF 360 x ( n C 5 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 6 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUINTUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 4 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. THE MAXIMIM NUMBER OF NEW TEST EVENTS PRINTED IS 600. (STAT358 IS A VARIANT OF STAT352). ============================================================================== -- L 359 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX 2-ELEMENT EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT256, STAT301, STAT280 OR STAT346. A SEQUENCE OF 16 x ( n C 4 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 5 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUADRUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. ON THE OTHER HAND, A SEQUENCE OF 40 x ( n C 5 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 6 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUINTUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 4 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. THE MAXIMIM NUMBER OF NEW TEST EVENTS PRINTED IS 600. (STAT359 IS A VARIANT OF STAT358). ============================================================================== -- L 360 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT201, STAT280, STAT346 OR STAT347. A SEQUENCE OF 8 x ( n C 2 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 SPECIFIC ELEMENTS FROM EVERY POSSIBLE PAIR OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. THIS PROCESS YIELDS A HOMOGENEOUS, HIGH-PROBABILITY SEQUENCE. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 2 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. THE MAXIMIM NUMBER OF NEW TEST TEST EVENTS GENERATED IS 600. (STAT360 IS A VARIANT OF STAT351). ============================================================================== -- L 361 -- READS A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 AND GENERATES A SEQUENCE OF EVENTS CONSISTING OF K0 ELEMENTS, WITH A DISTINCT REPRESENTATIVE FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 5. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3*...*NK0 < 6400/K0. THE TOTAL NUMBER OF EVENTS IS LIMITED, AS DESIRED. THE ANALYST IS PROMPTED FOR THE MAXIMUM NUMBER OF EVENTS DESIRED AND THE INDEX OF THE STARTING OR INITIAL EVENT DESIRED, FROM WHICH THE ROUTINE DETERMINES THE APPROPRIATE STEP-SIZE FOR PRINTING THE DESIRED NUMBER OF EVENTS. THE ROUTINE PROCESSES UP TO 600 INITIAL STAR EVENTS AND GENERATES UP TO 1000 TEST EVENTS. A SEQUENCE OF IMAX STAR EVENTS IS 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. THIS ROUTINE IS A VARIANT OF STAT201. ============================================================================== -- L 362 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A FIXED SEQUENCE OF K0-ELEMENT EVENTS, AND SUBSEQUENTLY DETERMINES SEQUENCES OF HIGHLY PROBABLE ELEMENTS, BASED UPON SEQUENCES OF 5-ELEMENT VECTORS, PRESCRIBED BY THE ANALYST AND REPRESENTING DESIRED VARYING DISTANCES OF FREQUENCIES OF ELEMENTS FROM THE AVERAGE FREQUENCY COMPUTED OVER ALL ELEMENTS, BACKING-UP A DESIRED DISTANCE FROM THE CHOSEN FINAL EVENT IN THE BASE SET. THE ANALYST IS QUERIED FOR A 5-ELEMENT VECTOR OF DESIRED INTEGER VALUES CONGRUENT ( MOD M ) TO A DESIRED INTEGER VALUE, M , AND THIS PROCESS IS CYCLICALLY REPEATED AS DESIRED. THE RESULTING SEQUENCES ARE INTERSECTED WITH THE EVENT SUCCEEDING A DESIRED CHOSEN FINAL STAR EVENT AND COMMON ELEMENTS ARE IDENTIFIED. THE ANALYSIS IS PERFORMED OVER A SUBSET OF THE BASE SET OF UP TO 600 STAR EVENTS FOR COMPARISON PURPOSES. STAT362 IS A VARIANT OF STAT213. ============================================================================== -- L 363 -- DETERMINES THE FREQUENCIES OF ELEMENTS FROM A FIXED SEQUENCE OF K0-ELEMENT EVENTS, AND SUBSEQUENTLY UTILIZES THE COMPLETE FIELD OF L0 STAR ELEMENTS TO GENERATE A SERIES OF HIGHLY-PROBABLE SUBSEQUENCES, BACKING-UP A DESIRED DISTANCE FROM THE SELECTED FINAL EVENT IN THE STAR SET. THE ANALYST IS QUERIED FOR A 5-ELEMENT VECTOR OF DESIRED INTEGER VALUES CONGRUENT ( MOD M ) TO A DESIRED INTEGER VALUE, M , AND THIS PROCESS IS CYCLICALLY REPEATED AS DESIRED. THE RESULTING SEQUENCES ARE INTERSECTED WITH THE EVENT SUCCEEDING A DESIRED CHOSEN FINAL STAR EVENT AND COMMON ELEMENTS ARE IDENTIFIED. THE ANALYSIS IS PERFORMED OVER A SUBSET OF THE STAR SET OF UP TO 600 STAR EVENTS FOR COMPARISON PURPOSES. STAT363 IS A VARIANT OF STAT362, WHERE ALL ELEMENTS OF THE COMPLETE FIELD ARE USED, RATHER THAN A SUBSEQUENCE RESTRICTED BY FREQUENCY DEVIATIONS. ============================================================================== -- L 364 -- READS A SEQUENCE OF PERMUTATIONS AND A SEQUENCE OF IMAX STAR EVENTS, INTERSECTING EACH STAR EVENT WITH EACH PERMUTATION IN THE SEQUENCE. A SEQUENCE OF INDEXES IS ASSOCIATED WITH THE SEQUENCE OF TRIPLES IN THE PERMUTATION SEQUENCE AND EACH ELEMENT OF EACH STAR EVENT IN COMMON WITH AN ELEMENT OF A PERMUTATION IS IDENTIFIED AND AN INDEX FROM THE SEQUENCE OF TRIPLES IS ASSOCIATED WITH IT. THIS PROCESS IS CYCLICALLY REPEATED FOR EACH PERMUTATION AND FOR EACH EVENT IN A PRESCRIBED SUBSEQUENCE OF THE STAR EVENTS, BACKING UP A DESIRED DISTANCE FROM A SELECTED FINAL EVENT. A SUCCESS-FAILURE MATRIX IS ALSO GENERATED, REFLECTING THE OCCURRENCE OF INDEXES OF TRIPLES IN THE INTERSECTION OF EACH STAR EVENT WITH EACH PERMUTATION. THE ROUTINE PROCESSES UP TO 600 EVENTS AGAINST UP TO 100 PERMUTATIONS. ============================================================================== -- L 365 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX 3-ELEMENT EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT256, STAT301, STAT280 OR STAT346. A SEQUENCE OF 81 x ( n C 4 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 5 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUADRUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. ON THE OTHER HAND, A SEQUENCE OF 243 x ( n C 5 ) NEW TEST EVENTS IS GENERATED BY THE SELECTION OF K0 = 6 SPECIFIC ELEMENTS FROM EVERY POSSIBLE QUINTUPLE OF EVENTS FROM THE SEQUENCE OF LMAX EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 4 AND 5 EVENTS, RESPECTIVELY, IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS FOR K0 = 5 AND K0 = 6. A MAXIMUM OF 600 GENERATED TEST EVENTS WILL BE PRINTED FOR USE. (STAT365 IS A VARIANT OF STAT359). ============================================================================== -- L 366 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF LMAX TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT363, STAT280, STAT346 OR STAT347. A SEQUENCE OF 20 NEW TEST EVENTS IS GENERATED BY THE SYSTEMATIC SELECTION OF K0 SPECIFIC ELEMENTS FROM SELECTED DIAGONALS AND CORNERS OF AN EXTERNALLY GENERATED K0 X K0 ELEMENT BLOCK OF TEST INPUT EVENTS. USING THIS PROCEDURE, THIS PROCESS YIELDS A SEQUENCE OF HOMOGENEOUS, HIGH-PROBABILITY ELEMENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE LMAX TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. NOTE THAT THERE MUST EXIST AT LEAST 2 EVENTS IN THE INITIAL SEQUENCE OF INPUT TEST EVENTS. THE MAXIMIM NUMBER OF NEW TEST TEST EVENTS GENERATED IS 600. (STAT366 IS A VARIANT OF STAT351). ============================================================================== -- L 367 -- READS A SEQUENCE OF STAR EVENTS ON THE ELEMENTS < 1 , ... , 51 >, DETERMINES THE SET OF ALL TRIPLETS AND PAIRS OF ELEMENTS IN EACH EVENT IN A DESIRED RANGE, SORTS THE TRIPLETS LEXICOGRAPHICALLY, AND DETERMINES THE NUMBER OF OCCURRENCES OF EACH TRIPLET FOR UP TO 50 INITIAL STAR EVENTS. THE ANALYST IS QUERIED FOR THE EVENT NUMBER OF A DESIRED EVENT, THE SUCCESSOR OF WHICH (IF IT EXISTS) WILL BE INTERSECTED WITH EACH GENERATED PAIR AND EACH GENERATED TRIPLE WITH COMMON ELEMENTS IDENTIFIED. ============================================================================== -- L 368 -- READS A SEQUENCE OF K0 BASE SETS OF VARIABLE SIZES N1,N2, ... , NK0 AND GENERATES A SEQUENCE OF EVENTS CONSISTING OF K0 ELEMENTS, WITH A DISTINCT REPRESENTATIVE FROM EACH OF THE K0 BASE SETS WITH, E.G., K0 = 5. K0 CAN RANGE BETWEEN 2 AND 6. THE MAXIMUM BASE SET SIZES ARE SUCH THAT N1*N2*N3*...*NK0 < 6400/K0. THE TOTAL NUMBER OF EVENTS IS LIMITED, AS DESIRED. THE ANALYST IS PROMPTED FOR THE MAXIMUM NUMBER OF EVENTS DESIRED AND THE INDEX OF THE STARTING OR INITIAL EVENT DESIRED, FROM WHICH THE ROUTINE DETERMINES THE APPROPRIATE STEP-SIZE FOR PRINTING THE DESIRED NUMBER OF EVENTS. THE ROUTINE PROCESSES UP TO 800 INITIAL STAR EVENTS AND GENERATES UP TO 800 TEST EVENTS. A SEQUENCE OF MMAX STAR EVENTS IS 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. THIS ROUTINE IS A VARIANT OF STAT361, READING A SEQUENCE OF INPUT SETS OF K0 ROWS OF ELEMENTS AND GENERATING A SEQUENCE OF NEW TEST EVENTS FOR EACH BLOCK OF INPUT SETS OF K0 ROWS OF ELEMENTS. THE ANALYST IS QUERIED FOR THE NUMBER OF INPUT SETS TO BE READ FROM STAT368.INP. ============================================================================== -- L 369 -- READS A SEQUENCE OF IMAX STAR EVENTS AND A SEQUENCE OF K0 TEST EVENTS, CONSISTING OF A SET OF HIGH-PROBABILITY ELEMENTS GENERATED FROM ANOTHER SOURCE, SUCH AS STAT363 TO GENERATE EITHER A 3 x 3 MATRIX ( FOR K0 = 5 ) OR A 4x4 MATRIX ( FOR K0 = 6) OF HIGH- PROBABILITY ELEMENTS. FOR K0 = 5 , A SEQUENCE OF 30 NEW TEST EVENTS IS GENERATED FROM THE 3x3 MATRIX DETERMINED BY SELECTING 3 ROWS AND 3 COLUMNS FROM THE INITIAL K0 TEST EVENTS. FOR K = 6, 30 NEW TEST EVENTS ARE GENERATED FROM THE 4x4 MATRIX DETERMINED BY SELECTING 4 ROWS AND 4 COLUMNS FROM THE INITIAL K0 TEST EVENTS. THIS PROCESS IS CYCLICALLY REPEATED FOR ANY DESIRED COMBINATION OF 3 ROWS AND 3 COLUMNS (IF K0 = 5) OR ANY DESIRED COMBINATION OF 4 ROWS AND 4 COLUMNS (IF K0 = 6). THIS PROCESS YIELDS A HOMOGENEOUS HIGH-PROBABILITY SEQUENCE OF NEW EVENTS. A DESIRED FINAL EVENT IS CHOSEN FROM THE IMAX STAR EVENTS AND ITS SUCCESSOR (IF ANY) IS INTERSECTED WITH EACH OF THE NEW TEST EVENTS. SUBSEQUENTLY, A CONFIGURATION MATRIX IS GENERATED TO REFLECT ELEMENTS IN COMMON BETWEEN NEW TEST EVENTS AND THE FINAL SUCCESSOR STAR EVENT. THE FIRST INPUT FILE CONSISTS OF K0 GENERATED EVENTS, E.G., FROM STAT363, AND THE SECOND CONSISTS OF THE SEQUENCE OF 6-TUPLES (3 SELECTED ROW NUMBERS AND 3 SELECTED COLUMN NUMBERS, FOR K0 = 5), OR THE SEQUENCE OF 8-TUPLES (4 SELECTED ROW NUMBERS AND 4 SELECTED COLUMN NUMBERS, FOR K0 = 6). THE MAXIMUM NUMBER OF NEW CYCLICALLY GENERATED TEST EVENTS IS 600. ==============================================================================