= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = COMP-U-STAT = = = = = = = = STATISTICAL PATTERN GENERATOR AND MATHEMATICAL TREND ANALYZER = = = = = = = = (c) Copyright 2017 by J.E. Glover, Ph.D. = = = = All Rights Reserved = = = = = = = = = = = = Part VII(a) ( STAT 1701 ----> STAT 1750 ) = = = = = = = = = = = = 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 1701 ---> 1750 * * * ====================================================================== -- L 1701 -- STAT1701 READS A SEQUENCE OF BMAX M0-ELEMENT PERMUTATIONS FROM PERM.INP, A SEQUENCE OF CMAX M0-ELEMENT PERMUTATIONS FROM PERM2.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. ELE- MENTS, (MOD 2), FROM PERM2.INP ARE USED AS A SEQUENCE OF INDEX SETS OF SIZES EQUAL TO ONE-HALF THOSE IN PERM.INP AND DESIGNED TO SELECT AN ELEMENT FROM EACH ADJACENT PAIR OF ELEMENTS OF EACH PERMUTATION IN PERM.INP TO GENERATE BMAX*CMAX PERMUTATIONS IN PERM.OUT. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH EACH GENERATED PERMUTATION FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. 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 THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT1701 IS A VARIANT OF STAT1141, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY PERMUTATIONS IN STAT1701.OUT AND PERM.OUT. STAT1701 READS UP TO 100 INPUT PERMUTATIONS IN PERM.INP AND UP TO 100 INDEX PERMUTATIONS IN PERM2.INP, WHERE THE PERMUTATIONS IN PERM2.INP ARE OF DIMENSION 1/2 THE DIMENSION OF THE PERMUTATIONS IN PERM.INP. OUTPUT PERMUTATIONS OF DIMENSION 2*K0 MAY BE USED AS INPUT PERMUTATIONS IN PERM.INP OF STAT1139. CF. ALSO STAT1141. ======================================================================== -- L 1702 -- (GENERATING K0-ELEMENT EVENTS FROM CYCLIC ELEMENTS IN SELECTED COLUMNS) II STAT1702 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1702.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1702.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1702.OUT BY CYCLICALLY REPLACING EACH ELEMENT IN A SELECTED COLUMN BY ELEMENTS 1 , ... , L0 FOR EACH OF THE BMAX INPUT EVENTS, THUS GENERATING K0*L0*BMAX EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1702 IS A VARIANT OF STAT1114, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1702.OUT AND STAT94.INP. THIS PROCESS IS CYCLICALLY REPEATED OVER A DESIRED NUMBER OF COLUMNS. A CUMULATIVE FILE OF QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. CF. ALSO STAT1114 AND STAT1115 FOR PROCESSING OF MULTIPLE COLUMNS. CF. ALSO STAT1606, STAT1628, STAT1684, STAT1687 AND STAT1696. ======================================================================== -- L 1703 -- ( GENERATING K0-ELEMENT EVENTS BY THE ADDITION OF CYCLIC ELEMENTS TO THE LAST (K0-NCOL) COLUMNS OF EACH EVENT ) III STAT1703 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1703.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1703.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1703.OUT BY SELECTING A FIXED COLUMN, NCOL, OF EACH EVENT AND ADDING A DESIRED NUMBER OF CYCLIC ELEMENTS IN < 1 , 2 , ... > TO THE REMAINING (K0-NCOL) COLUMNS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1703 IS A VARIANT OF STAT1702, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1703.OUT AND STAT94.INP. THIS PROCESS IS CYCLICALLY REPEATED OVER A DESIRED NUMBER OF COLUMNS. A CUMULATIVE FILE OF QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. CF. ALSO STAT1114 AND STAT1115 FOR PROCESSING OF MULTIPLE COLUMNS. CF. ALSO STAT1606, STAT1628, STAT1684, STAT1687, STAT1696 AND STAT1702. ======================================================================== -- L 1704 -- ( GENERATING K0-ELEMENT EVENTS BY THE ADDITION OF CYCLIC ELEMENTS TO THE FIRST (K0-NCOL) COLUMNS OF EACH EVENT ) IV STAT1704 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1704.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1704.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1704.OUT BY SELECTING A FIXED COLUMN, NCOL, OF EACH EVENT AND ADDING A DESIRED NUMBER OF CYCLIC ELEMENTS IN < 1 , 2 , ... > TO THE PRECEDING (K0-NCOL) COLUMNS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1704 IS A VARIANT OF STAT1703, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1704.OUT AND STAT94.INP. THIS PROCESS IS CYCLICALLY REPEATED OVER A DESIRED NUMBER OF COLUMNS. A CUMULATIVE FILE OF QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. CF. ALSO STAT1114 AND STAT1115 FOR PROCESSING OF MULTIPLE COLUMNS. CF. ALSO STAT1606, STAT1628, STAT1684, STAT1687, STAT1696 AND STAT1702. ======================================================================== -- L 1705 -- ( GENERATING K0-ELEMENT EVENTS FROM TEST EVENTS AND A SEQUENCE OF BMAX K0-ELEMENT BACK-UP INDEX EVENTS ) XVII STAT1705.INP READS A SEQUENCE OF CMAX K0-ELEMENT BACK-UP INDEX EVENTS FROM STAT1705.IN2 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1705.INP ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1705.OUT AND STAT94.INP BY SELECTING K0-ELEMENT EVENTS STAR TEST EVENTS, BACKING-UP FROM FINAL TEST EVENT NUMBER IMAX BY MEANS OF SETS OF K0-ELEMENT EVENT INDICES FROM STAT1705.IN2. SELECTED K0-ELEMENT EVENTS ARE OF THE FORM: (A(IMAX-C(M,J)+1,J), J= 1 , ... , K0) AND M = 1, ... , CMAX. HENCE, THIS PROCESS IS CYCLICALLY REPEATED OVER THE CMAX INPUT INDEX EVENTS. THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1705 IS A VARIANT OF STAT1664, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1705.OUT AND STAT94.INP. INDEX ELEMENTS FROM STAT1705.IN2 ARE AUTOMATICALLY ADJUSTED (MOD M0) FOR SOME DESIRED INTEGER M0 IN THE RANGE [ V0,V1 ] WITH M0 < BMAX. GENERATED TEST EVENTS ARE ALSO FILTERED ACCORDING TO A VECTOR, < M1, M2, M3, M4, M5, M6, M7, M8, M9, M10 > ( MOD M0 ). A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. CF. ALSO STAT938, STAT1584, AND STAT1664. ======================================================================== -- L 1706 -- STAT1706 READS A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP AND SELECTS A SEQUENCE OF ELEMENTS FROM < 1 , 2 , ... , L0 > AS [*]-QUALIFIED IFF EACH ELEMENT L HAS OCCURRED AT LEAST J0 TIMES OVER THE LAST M0 EVENTS FOR SOME DESIRED INTEGERS J0 AND M0. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES, GENERATING A SEQUENCE OF HIGH-PROBABILITY PERMUTATIONS OF VARYING SIZES WHICH MAY BE UTILIZED IN A VARIETY OF OTHER SELECTED ROUTINES. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH EACH GENERATED PERMUTATION FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. 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 THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT1706 IS A VARIANT OF STAT1141, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY PERMUTATIONS IN STAT1706.OUT AND PERM.OUT. ======================================================================== -- L 1707 -- STAT1707 GENERATES RANDOM K-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). STAT1707 IS A VARIANT OF STAT12. HOWEVER, THE MODULUS OF GENERATED ELEMENTS HAS AN UPPER BOUND OF 1000, RATHER THAN 80. GENERATED EVENTS MAY BE UTILIZED AS STAT1705.INP. ======================================================================== -- L 1708 -- ( SELECTING M0-EVENT BLOCKS OF EVENTS AND GENERATING CORRESPONDING K0-ELEMENT EVENTS BY SELECTING THE MODE FROM EACH OF K0 COLUMNS FOR EITHER OVERLAPPING OR NON-OVERLAPPING SEQUENCES FROM EACH BLOCK OF EVENTS ) XXXXX STAT1708 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1708.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EITHER OVERLAPPING OR NON-OVERLAPPING M0-EVENT BLOCKS ARE SELECTED FROM STAT1708.INP AND K0-ELEMENT EVENTS ARE GENERATED BY SELECTING THE MODE FROM EACH OF K0 COLUMNS PER SUB-BLOCK. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES BY THE ANALYST. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1708 IS A VARIANT OF STAT1687, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1708.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1708.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1708.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. THOSE SUBSEQUENCES OF INPUT TEST EVENTS ARE FILTERED WHICH SATISFY THE FOLLOWING CRITERION FOR THE FINAL INDEX OF SUCCESS, II : (IMAX+1) IS IN THE INTERVAL [VMAX-Q0,VMAX+Q0], FOR [*]-QUALIFICATION, WHERE VMAX = ( H(II) + KCT , AND WHERE IMAX+1 IS THE EVENT INDEX FOLLOWING THE CURRENT FINAL STAR EVENT FOR SOME DESIRED INTEGRAL UPPER BOUND Q0, E.G., Q0 = 2. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. A SUPPLEMENTARY OUTPUT FILE IS GENERATED INTO STAT94.IN3 BY TACITLY SELECTING ELEMENTS FROM THE HEADS AND TAILS OF ADJACENT PAIRS OF EVENTS FROM STAT94.IN2. A SIMILAR ENANTIOMORPH FILE IS GENERATED IN STAT94.IN4. CF. ALSO STAT1669, STAT1675, STAT1686, AND STAT1688. A FILE OF EVENTS RANKED IN ASCENDING ORDER OF KCT AND GENERATED FROM SINGLE EVENT BLOCKS IS RECORDED IN STAT94.INP. ======================================================================== -- L 1709 -- ( SELECTING M0-EVENT BLOCKS OF EVENTS AND GENERATING CORRESPONDING K0-ELEMENT EVENTS BY SELECTING THE LEAST FREQUENTLY OCCURRING ELEMENT FROM EACH OF K0 COLUMNS FOR EITHER OVERLAPPING OR NON-OVERLAPPING SEQUENCES FROM EACH BLOCK OF EVENTS ) XXXXXI STAT1709 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1709.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EITHER OVERLAPPING OR NON-OVERLAPPING M0-EVENT BLOCKS ARE SELECTED FROM STAT1709.INP AND K0-ELEMENT EVENTS ARE GENERATED BY SELECTING THE LEAST FREQUENTLY OCCURRING ELEMENT FROM EACH OF THE K0 COLUMNS OF INPUT EVENTS IN STAT1709.INP. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES BY THE ANALYST. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE THEN DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1709 IS A VARIANT OF STAT1709, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1709.OUT AND STAT94.INP. HOWEVER, ELEMENTS IN EACH COLUMN ARE SORTED IN ASCENDING, RATHER THAN DESCENDING ORDER. TEST EVENTS ARE FILTERED BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1709.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1708. CF. STAT1641 FOR GENERATING STAT1709.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. THOSE SUBSEQUENCES OF INPUT TEST EVENTS ARE FILTERED WHICH SATISFY THE FOLLOWING CRITERION FOR THE FINAL INDEX OF SUCCESS, II : (IMAX+1) IS IN THE INTERVAL [VMAX-Q0,VMAX+Q0], FOR [*]-QUALIFICATION, WHERE VMAX = ( H(II) + KCT , AND WHERE IMAX+1 IS THE EVENT INDEX FOLLOWING THE CURRENT FINAL STAR EVENT FOR SOME DESIRED INTEGRAL UPPER BOUND Q0, E.G., Q0 = 2. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. A SUPPLEMENTARY OUTPUT FILE IS GENERATED INTO STAT94.IN3 BY TACITLY SELECTING ELEMENTS FROM THE HEADS AND TAILS OF ADJACENT PAIRS OF EVENTS FROM STAT94.IN2. A SIMILAR ENANTIOMORPH FILE IS GENERATED IN STAT94.IN4. CF. ALSO STAT1669, STAT1675, STAT1686, AND STAT1688. A FILE OF EVENTS RANKED IN ASCENDING ORDER OF KCT AND GENERATED FROM SINGLE EVENT BLOCKS IS RECORDED IN STAT94.INP. ======================================================================== -- L 1710 -- CYCLIC INDEX CADENCES READS A SEQUENCE OF PMAX PERMUTATIONS, < P(L,J),J=1,...,M0 >, L = 1,...,PMAX , IN PERM.INP, A SEQUENCE OF CMAX K0-ELEMENT INDEX EVENTS IN STAT1710.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS IN BASE.INP. STAT1710 SELECTS K0-ELEMENT EVENTS FROM THE M0-ELEMENT PERMUTATIONS IN PERM.INP BY FILTERING, IN SEQUENCE, SELECTED K0-ELEMENT SUBSETS, BASED UPON INDEX CADENCES FROM EVENTS OF STAT1710.INP IN CYCLICAL PATTERNS DETERMINED BY THE NUMBER OF ELEMENTS IN EACH PERMUTATION MINUS THE FINAL INDEX OF EACH EVENT. THIS PROCESS IS CYCLICALLY REPEATED FOR ALL INPUT PERMUTATIONS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT1710 FILTERS EVENTS INTO STAT1023.OT5, BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. STAT1710 IS A VARIANT OF STAT1023, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1710.OUT AND STAT94.INP. ======================================================================== -- L 1711 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXIV STAT1711 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT1711 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1711 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, IDMAX .GE. Q0*(KNUM + KCT), WHERE IDMAX = (IMAX + 1) - H(II), WHERE II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS, AND WHERE KNUM = IMAX / JNUM, JNUM = THE CARDINALITY OF ( H(M+1) - H(M) ) FOR EACH M IN THE SEQUENCE < 0 , 1 , ... , II > , AND KCT IS THE CADENCE OR NUMBER OF STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1711 IS A VARIANT/HYBRID OF STAT1604 AND STAT1280, EXECUTING UNTIL THE ROUTINE SUCCESSFULLY GENERATES ONE QUALIFYING BLOCK OF K0-ELEMENT EVENTS, MAKING STAT1712 AS TERSE AS DESIRED. STAT1712 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1711 AS TERSE AS DESIRED. CF. ALSO STAT1604. ======================================================================== -- L 1712 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXV STAT1712 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1712.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1712 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, IDMAX .GE. Q0*(KNUM + KCT), WHERE IDMAX = (IMAX + 1) - H(II), WHERE II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS, AND WHERE KNUM = IMAX / JNUM, JNUM = THE CARDINALITY OF ( H(M+1) - H(M) ) FOR EACH M IN THE SEQUENCE < 0 , 1 , ... , II > , AND KCT IS THE CADENCE OR NUMBER OF STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1712 IS A VARIANT/HYBRID OF STAT1605 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1712 AS TERSE AS DESIRED. STAT1712 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1712 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1713 -- DETERMINES AND PRINTS : 1) A MATRIX INDICATING, FOR EACH EVENT IN A SEQUENCE, THE NUMBER PAIRS OF ELEMENTS WHICH HAVE OCCURRED CONCURRENTLY IN A PRECEDING EVENT, AS WELL AS, THE % OF EVENTS IN WHICH A SET OF SUCH PAIRS OF ELEMENTS OCCURS AND THE AVERAGE # PAIRS PER EVENT 2) A MATRIX OF LONGSHOT AND REPEAT ELEMENTS FOR A SEQUENCE OF EVENTS 3) A FREQUENCY MATRIX FOR REPEATED ELEMENTS AND LONGSHOTS FOR A SEQUENCE OF EVENTS 4) A FREQUENCY TABLE OF HITS FOR NUMBERS vs. # SKIPS SINCE THE LAST HIT FOR A FINAL OR GIVEN EVENT REQUESTED 5) A SKIP-AND-HIT MATRIX , INDICATING THE RELATIVE NUMBER OF EVENTS IN WHICH EACH ELEMENT HAS SKIPPED OR HIT ON A GIVEN DATE 6) FILTERS A SEQUENCE OF TEST EVENTS, BASED UPON A PRESCRIBED SEQUENCE OF EVENT TYPES (# LONG SHOT ELEMENTS PLUS # REPEAT ELEMENTS), CHOSEN BY THE ANALYST. (ANALYZES UP TO 50 BASE EVENTS AND 200 INPUT TEST EVENTS PER EXECUTION) STAT1713 IS A VARIANT OF STAT190. HOWEVER, TEST EVENTS ARE FILTERED INTO STAT94.INP FOR WHICH THE DESIRED SEQUENCE [ K1 , K2 , K3 ] <==> [ # LONGSHOTS , # REPEATS , # NIETHER ] IS MATCHED FOR SELECTED NON-NEGATIVE INTEGERS K1, K2, AND K3. EVENTS ARE FILTERED INTO STAT94.INP AND STAT94.IN2. ======================================================================== -- L 1714 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXVI STAT1714 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT1714 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1714 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, ( IMAX+1) - H(II) ) LIES IN THE INTERVAL [ KCT - Q0 , KCT + Q0 ] FOR SOME DESIRED INTEGER Q0. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1714 IS A VARIANT/HYBRID OF STAT1711 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1714 AS TERSE AS DESIRED. STAT1714 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1714 AS TERSE AS DESIRED. CF. ALSO STAT1604. ======================================================================== -- L 1715 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXVI STAT1715 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1715.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1715 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, ( IMAX+1) - H(II) ) LIES IN THE INTERVAL [ KCT - Q0 , KCT + Q0 ] FOR SOME DESIRED INTEGER Q0. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1715 IS A VARIANT/HYBRID OF STAT1712 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1715 AS TERSE AS DESIRED. STAT1715 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1715 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1716 -- ( FILTERING A SEQUENCE OF K0-ELEMENT EVENTS FROM A SEQUENCE OF Q0-ELEMENT INDEX PERMUTATIONS ) XXXXXV STAT1716 READS A SEQUENCE OF PMAX INDEX PERMUTATIONS OF VARIABLE SIZES FROM PERM.NDX, A SEQUENCE OF BMAX K0-ELEMENT INDEX EVENTS FROM STAT1716.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS ARE FILTERED FROM STAT1716.INP VIA PERM.NDX BY SELECTING K0-ELEMENT ROWS WHICH MATCH THE INDEX ELEMENTS FROM EACH INPUT PERMUTATION OF PERM.NDX. REPETITIVE INSTANCES OF INDEX ELEMENTS ARE OMITTED. THE PROCESS IS CYCLICALLY REPEATED. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT FILTERED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1716 IS A VARIANT OF STAT1700, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1716.OUT AND STAT94.INP. A CUMULATIVE FILE OF [*]-QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). UTILIZE STAT1511 TO GENERATE THE INDEX PERMUTATION FILE PERM.NDX. INDEX PERMUTATION ELEMENTS ARE AUTOMATICALLY ADJUSTED (MOD BMAX). CF. ALSO STAT1636. ======================================================================== -- L 1717 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXVI STAT1717 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1717.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1717 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, ( IMAX+1) - H(II) ) .GE. VMAX , WHERE VMAX = [ KCT + Q0 ] FOR SOME DESIRED INTEGER Q0. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1717 IS A VARIANT/HYBRID OF STAT1715 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1717 AS TERSE AS DESIRED. STAT1717 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1717 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1718 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXVI STAT1718 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT1718 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1718 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A SEQUENTIALLY PROCESSED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]-QUALIFIED IF, AND ONLY IF, ( IMAX+1) - H(II) ) .GE. VMAX , WHERE VMAX = [ KCT + Q0 ] FOR SOME DESIRED INTEGER Q0. II IS THE LAST QUALIFYING STAR INDEX FOR INTERSECTING EVENTS AND IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1718 IS A VARIANT/HYBRID OF STAT1714 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1718 AS TERSE AS DESIRED. STAT1718 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1718 AS TERSE AS DESIRED. CF. ALSO STAT1604. ======================================================================== -- L 1719 -- ( VIRAL GENERATION OF K0-ELEMENT EVENTS FROM MOVING AVERAGES OF A SEQUENCE OF DESIRED VERTICAL BLOCK-SIZES FROM A BLOCK OF EVENTS ) STAT1719 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1719.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1719.INP ARE USED TO GENERATE HIGH- PROBABILITY EVENTS IN STAT1719.OUT FROM MOVING AVERAGES OF DESIRED M0-ELEMENT VERTICAL BLOCKS OF ELEMENTS FROM EACH OF THE K0 COLUMNS. THIS PROCESS IS CYCLICALLY REPEATED A DESIRED NUMBER OF TIMES. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THIS ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1719 IS A VARIANT OF STAT1581, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1719.OUT AND STAT94.INP. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS OF STAT1719.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT EVENTS OF STAT94.INP. CF. ALSO STAT1182 AND STAT1581. ======================================================================== -- L 1720 -- ( VIRAL GENERATION OF A DESIRED NUMBER OF K0-ELEMENT EVENTS FROM MOVING AVERAGES OF A SEQUENCE OF COMPUTED VERTICAL BLOCK-SIZES FROM A BLOCK OF EVENTS ) STAT1720 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1720.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1720.INP ARE USED TO GENERATE HIGH- PROBABILITY EVENTS IN STAT1720.OUT FROM MOVING AVERAGES OF COMPUTED M0-ELEMENT VERTICAL BLOCKS OF ELEMENTS FROM EACH OF THE K0 COLUMNS. THIS PROCESS IS CYCLICALLY REPEATED AND IS TERMINATED ON EACH CYCLE WHEN THE NUMBER OF EVENTS REQUESTED BY THE ANALYST IS GENERATED. STAT1720 IS A VARIANT OF STAT1719, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1720.OUT AND STAT94.INP. HOWEVER, THE ANALYST IS PROMPTED FOR THE DESIRED NUMBER OF TEST EVENTS TO BE GENERATED, WHICH AUTOMATICALLY DETERMINES BLOCK-SIZE. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN EVENTS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THIS ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS OF STAT1720.INP ARE, OPTIONALLY, INCLUDED AS OUTPUT EVENTS OF STAT94.INP. CF. ALSO STAT1182 AND STAT1581. ======================================================================== -- L 1721 -- PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE BY TESTING EQUALITY OF STAR INDEX (IMAX+1) (MOD NN ) VS. H(II) (MOD NN) FOR = < M1 , M2 , M3 , ... , MK > STAT1721 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1721.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1721 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX + 1 ] ( MOD NN ) EQUALS H(II) (MOD NN) FOR NN = M1, M2, ... , MK AND II IS THE FINAL INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1721 IS A VARIANT/HYBRID OF STAT1605 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1721 AS TERSE AS DESIRED. STAT1721 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1721 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1722 -- PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE BY TESTING EQUALITY OF STAR INDEX (IMAX+1) (MOD NN ) VS. H(II) (MOD NN) FOR = < M1 , M2 , M3 , ... , MK > II STAT1722 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1722.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1722 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX + 1 ] ( MOD NN ) EQUALS H(II) (MOD NN) FOR NN = M1, M2, ... , MK AND II IS THE FINAL INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1722 IS A VARIANT/HYBRID OF STAT1621 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1722 AS TERSE AS DESIRED. HOWEVER, | | HAS A MAXIMUM VALUE OF 20, RATHER THAN 6 (AS IN STAT1721). PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1722 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1723 -- RANKING AND TESTING A FIXED BLOCK OF TEST EVENTS FOR [*]-QUALIFICATION BASED UPON INTERSECTION FREQUENCIES CONTAINED WITHIN A PRESCRIBED RANGE X STAT1723 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1723.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT BLOCK IN STAT1723.INP IS TESTED FOR [*]- QUALIFICATION BY INTERSECTING IT WITH THE SEQUENCE OF STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1723 IS A VARIANT OF STAT1511, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1723.OUT AND STAT94.INP. AN EVENT IS DETERMINED TO BE [*]-QUALIFIED IF, AND ONLY IF, ITS INTERSECTION WITH THE ENTIRE SEQUENCE OF STAR EVENTS YIELDS CUMULA- TIVE FREQUENCIES IN THE SET [NT1,NT2] FOR SOME SELECTED VALUES NT1,NT2. FURTHERMORE, QUALIFYING EVENTS ARE ALSO RANKED IN DESCENDING ORDER ORDER OF AGGREGATE INTERSECTION COUNTS OVER THE IMAX STAR EVENTS. CF. ALSO STAT1511 AND STAT1540. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2 AND A CUMULATIVE SEQUENCE OF INDEX PERMUTATIONS IS GENERATED INTO PERM.NDX FOR USAGE IN EXTERNAL ROUTINES. ======================================================================== -- L 1724 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE RANDOMLY AND CYCLICALLY GENERATED IN REAL TIME XXXXXIV STAT1724 GENERATES RANDOM K0-SUBSETS OF AN N-SET, ADAPTED FROM COMBINATORIAL ALGORITHMS (A. NIJENHUIS, H. WILF). IN ADDITION, STAT1724 READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE GENERATED SEQUENCE IS UTILIZED AS A BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1724 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX + 1 ] = 0 OR 1 (MOD KCT) , WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1724 IS A VARIANT/HYBRID OF STAT1604 AND STAT1446, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1724 AS TERSE AS DESIRED. STAT1724 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1724 AS TERSE AS DESIRED. CF. ALSO STAT1446. ======================================================================== -- L 1725 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXV STAT1725 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1725.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1725 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A CYCLICALLY SELECTED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX + 1 ] = 0 OR 1 (MOD KCT) , WHERE KCT IS THE CADENCE OR NUMBER OF ELAPSED STAR INDICES OVER WHICH THE FILTERING CRITERION SHOULD OCCUR , IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1725 IS A VARIANT/HYBRID OF STAT1605 AND STAT1446, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1725 AS TERSE AS DESIRED. STAT1725 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1725 AS TERSE AS DESIRED. CF. ALSO STAT1446 AND STAT1790. ======================================================================== -- L 1726 -- ( FILTERING V0-ELEMENT PERMUTATIONS FROM Q0-ELEMENT PERMUTATIONS UTILIZING A SEQUENCE OF PAIRS OF FIXED INDEX DISPLACEMENTS ) STAT1726 READS A SEQUENCE OF PMAX Q0-ELEMENT PERMUTATIONS FROM PERM.INP, A SELECTED SEQUENCE OF BMAX K0-ELEMENT INDEX EVENTS FROM STAT1726.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. V0-ELEMENT PERMUTATIONS ARE SELECTED FROM EACH INPUT PERM OF PERM.INP BY CHOOSING SLIDING J1-ELEMENT STRINGS IN UNION WITH SLIDING J2-ELEMENT STRINGS AND CYCLICALLY REPEATING UNTIL THE LAST ELEMENT HAS BEEN SELECTED FOR EACH INPUT PERMUTATION, WHERE IT IS PRESUMED THAT THE SIZE OF EACH PERMUTATION IS AT LEAST 2*K0. THIS PROCESS IS CYCLICALLY EXECUTED FOR EACH ONE OF THE PMAX INPUT PERMUTATIONS. OUTPUT PERMUTATIONS MAY BE USED AS INPUT FOR STAT1191 (PERM.INP) OR ANY OTHER DESIRED ROUTINE. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH GENERATED PERMUTATIONS FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. 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 THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT1726 IS A VARIANT OF STAT1211, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT1726.OUT AND PERM.OUT. CF. ALSO STAT1019. CONTINUOUS STRING K0-ELEMENT EVENTS ARE GENERATED IN STAT94.INP FOR THE K0 ELEMENTS FROM THE HEAD AND TAIL OF EACH OUTPUT PERMUTATION. ALL POSSIBLE K0-ELEMENT CONTIGUOUS STRING EVENTS FROM OUTPUT PERMUTATIONS ARE GENERATED IN STAT94.IN2. THE CORRESPONDING M0-ELEMENT SUBSEQUENCE OF EACH PERMUTATION WHICH CONTAINS M0 STAR ELEMENTS IS ALSO GENERATED IN STAT1726.OUT, WHERE M0 > (K0-1). ======================================================================== -- L 1727 -- ( GENERATING K0-ELEMENT INDEX EVENTS FROM < 1 , 2, ... , K0 > AND K0-ELEMENT EVENTS FROM VARYING INDEX PARITIES OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) XXXIX STAT1727 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1727.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE SEQUENCE OF INPUT EVENTS IN USED IN THE SELECTION OF INPUT EVENTS IN TEMP1.INP, TEMP2.INP, TEMP3.INP, AND TEMP4.INP , AND TEMP5.INP BASED UPON VARYING COMBINATIONS OF INDEX PARITIES OF ROW INDICES OF THE FORM {O U O} , {E U E} , {O U E}, AND {E U O}, WHICH ARE, IN TURN, UTILIZED AS INPUT EVENTS FOR STAT1728.INP AND STAT1728.IN2. MOREOVER, ALL {3-ELEMENT EVENTS} U {2-ELEMENT EVENTS} (IF K0 = 5) OR ALL { 3-ELEMENT EVENTS } U { 3-ELEMENT EVENTS } (IF K0 = 6) DETERMINED FROM THE SEQUENCE < 1 , 2 , ... , K0 > ARE UTILIZED AS GENERATED INPUT INDEX EVENTS IN STAT1728.IN3. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH INPUT TEST EVENT FROM STAT1727.INP FOR UP TO 400 POSSIBLE STAR EVENTS IN THE FILE BASE.INP. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1727 IS A VARIANT OF STAT1514, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1727.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1727.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1728 -- ( GENERATING K0-ELEMENT EVENTS FROM A PAIR OF BI-PARTITE BLOCKS OF EVENTS AND A SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXX STAT1728 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1728.INP, A SEQUENCE OF CMAX K0-ELEMENT EVENTS FROM STAT1728.IN2, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1728.IN3 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE THREE SEQUENCES OF INPUT EVENTS ARE USED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1728.OUT FROM ALL 3- VS. ALL 2- OR 3- ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1728 IS A VARIANT OF STAT1514, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1728.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1728.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1729 -- ( GENERATING K0-ELEMENT INDEX EVENTS FROM < 1 , 2, ... , K0 > AND K0-ELEMENT EVENTS FROM VARYING INDEX PARITIES OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) XXXXI STAT1729 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1729.INP AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE SEQUENCE OF INPUT EVENTS IN USED IN THE SELECTION OF INPUT EVENTS IN TEMP1.INP, TEMP2.INP, TEMP3.INP, AND TEMP4.INP , AND TEMP5.INP BASED UPON VARYING COMBINATIONS OF INDEX PARITIES OF ROW INDICES OF THE FORM {O U O} , {E U E} , {O U E}, AND {E U O}, WHICH ARE, IN TURN, UTILIZED AS INPUT EVENTS FOR STAT1728.INP AND STAT1728.IN2. MOREOVER, ALL {4-ELEMENT EVENTS} U {1-ELEMENT EVENTS} (IF K0 = 5) OR ALL { 4-ELEMENT EVENTS } U { 2-ELEMENT EVENTS } (IF K0 = 6) DETERMINED FROM THE SEQUENCE < 1 , 2 , ... , K0 > ARE UTILIZED AS GENERATED INPUT INDEX EVENTS IN STAT1728.IN3. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH INPUT TEST EVENT FROM STAT1729.INP FOR UP TO 400 POSSIBLE STAR EVENTS IN THE FILE BASE.INP. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1729 IS A VARIANT OF STAT1727, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1729.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1729.INP ARE CONTIGUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1730 -- ( GENERATING K0-ELEMENT EVENTS FROM A PAIR OF BI-PARTITE BLOCKS OF EVENTS AND A SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXXII STAT1730 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1730.INP, A SEQUENCE OF CMAX K0-ELEMENT EVENTS FROM STAT1730.IN2, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1730.IN3 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE THREE SEQUENCES OF INPUT EVENTS ARE USED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY EVENTS IN STAT1730.OUT FROM ALL 4- VS. ALL 1- OR 2- ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1730 IS A VARIANT OF STAT1728, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1730.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1730.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1731 -- ( GENERATING K0-ELEMENT EVENTS FROM A SINGLE BI-PARTITE BLOCK OF EVENTS AND A SINGLE SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXXIII STAT1731 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1731.INP, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1731.IN2 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE TWO SEQUENCES OF INPUT EVENTS ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1731.OUT FROM ALL 3- VS. ALL 2-ELEMENT OR 3-ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THEREAFTER, THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1731 IS A VARIANT OF STAT1728, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1731.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1731.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1732 -- ( GENERATING K0-ELEMENT EVENTS FROM A SINGLE BI-PARTITE BLOCK OF EVENTS AND A SINGLE SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXXIV STAT1732 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1732.INP, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1732.IN2 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE TWO SEQUENCES OF INPUT EVENTS ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1731.OUT FROM ALL 4- VS. ALL 1-ELEMENT OR 2-ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THEREAFTER, THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1732 IS A VARIANT OF STAT1730, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1732.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1732.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1733 -- ( GENERATING K0-ELEMENT EVENTS FROM A SINGLE BI-PARTITE BLOCK OF EVENTS AND A SINGLE SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXXV STAT1733 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1733.INP, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1733.IN2 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE TWO SEQUENCES OF INPUT EVENTS ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1733.OUT FROM ALL 3- VS. ALL 2-ELEMENT OR 3-ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THEREAFTER, THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1733 IS A VARIANT OF STAT1731, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1733.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1733.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1734 -- ( GENERATING K0-ELEMENT EVENTS FROM A SINGLE BI-PARTITE BLOCK OF EVENTS AND A SINGLE SEQUENCE OF INDEX EVENTS WITH ELEMENTS (MOD K0) ) XXXXVI STAT1734 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1734.INP, A SEQUENCE OF DMAX K0-ELEMENT INDEX EVENTS WITH ELEMENTS (MOD K0) FROM STAT1734.IN2 AND A SEQUENCE OF IMAX STAR EVENTS FROM BASE.INP. THE TWO SEQUENCES OF INPUT EVENTS ARE UTILIZED TO GENERATE A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1731.OUT FROM ALL 4- VS. ALL 1-ELEMENT OR 2-ELEMENT STRINGS FROM BIPARTITE EVENTS OF A K0-ELEMENT INPUT SEQUENCE. THEREAFTER, THE ANALYST IS PROMPTED FOR A DESIRED MAXIMUM NUMBER OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1734 IS A VARIANT OF STAT1732, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1734.OUT AND STAT94.INP. NOT ALL SELECTED SUB-STRINGS FROM STAT1734.INP ARE CONTINUOUS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A SEQUENCE OF VECTORS SELECTED BY THE ANALYST, I.E. , < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR KTOP DESIRED INTEGERS T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). ======================================================================== -- L 1735 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA SELECTED ROW INDICES FROM AN INPUT SEQUENCE ) IV STAT1735 READS A FIXED BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1735.INP, A SEQUENCE OF RMAX K0-ELEMENT ROW INDEX EVENTS FROM STAT1735.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROW AND COLUMN INDEX SETS ARE USED TO SELECT K0-ELEMENT EVENTS FROM STAT1735.INP. ROW AND COLUMN INDICES FROM STAT1735.IN2 [ADJUSTED (MOD RMAX)] AND STAT1735.IN2 [ADJUSTED (MOD K0)] ARE AUTOMATICALLY MODIFIED FOR EXECUTION. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF FILTERED TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1735 IS A VARIANT OF STAT1475, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1735.OUT AND STAT94.INP. HOWEVER, K0-ELEMENT EVENTS ARE GENERATED FROM THE (BMAXxK0)- DIMENSIONAL BLOCK IN STAT1735.INP BY BACKING UP R(I,J) UNITS FROM THE FINAL EVENT, WHERE R(I,J) IS A ROW INDEX FROM STAT1735.IN2, GENERATING K0-ELEMENT EVENTS : (B(R(I,J),J),J=1,K0), RATHER THAN EVENTS OF THE FORM : (B(R(I,J),C(M,J)),J=1,K0). CF. ALSO STAT1308 FOR AN HYBRID VERSION OF STAT1735. ADDITIONALLY, GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1735.INP ARE INCLUDED AS OUTPUT EVENTS. ======================================================================== -- L 1736 -- ( RANKING A SEQUENCE OF K0-ELEMENT EVENTS VIA SEQUENCES OF FUNCTIONAL VALUES ) II STAT1736 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1736.INP SELECTS [*]-QUALIFYING BLOCKS OF EVENTS FOR WHICH STAR EVENT INDEX (IMAX+1) IS IN [F(X1), ... ,F(X2)], FREQUENCIES OF STAR INDEX DISPLACEMENTS X1 , ... , X2. K0-ELEMENT STAR EVENTS FROM BASE.INP ARE INTERSECTED WITH EACH [*]-QUALIFYING EVENT. MOREOVER, STAT1736 FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1736 IS A VARIANT OF STAT1404, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1736.OUT AND STAT94.INP. HOWEVER, EVENTS ARE READ FROM STAT1736.INP AND NOT RANDOMLY GENERATED. STAT94.INP FROM STAT1400 MAY BE UTILIZED AS STAT1736.INP. MOREOVER, OUTPUT FILES STAT1736.INP, STAT1736.IN2, AND STAT1736.IN3 FROM ROUTINE STAT1412 MAY SERVE AS THE INPUT FILE STAT1736.INP. STAT1736 IS THE TEST EVENT VERSION OF STAT1408. A CUMULATIVE FILE OF M0 DESIRED OUTPUT EVENTS PER EXECUTION IS GENERATED IN STAT94.IN2. CF. ALSO STAT1404. ======================================================================== -- L 1737 -- ( RANKING A SEQUENCE OF K0-ELEMENT EVENTS VIA SEQUENCES OF FUNCTIONAL VALUES ) III STAT1737 READS AN ARBITRARILY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1737.INP SELECTS [*]-QUALIFYING BLOCKS OF EVENTS FOR WHICH (IMAX+1) - H(II) .GE. S(LL) ) WHERE S(LL) IS THE MAXIMUM STAR EVENT INDEX DISPLACEMENT OVER IMAX EVENTS AND H(II) IS THE FINAL [*]-QUALIFIED STAR INDEX FROM BASE.INP. K0-ELEMENT STAR EVENTS FROM BASE.INP ARE INTERSECTED WITH EACH [*]-QUALIFYING EVENT. STAT1737 FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1737 IS A VARIANT OF STAT1736, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1737.OUT AND STAT94.INP. HOWEVER, EVENTS ARE READ FROM STAT1737.INP AND NOT RANDOMLY GENERATED. STAT94.INP FROM STAT1400 MAY BE UTILIZED AS STAT1737.INP. MOREOVER, OUTPUT FILES STAT1737.INP, STAT1737.IN2, AND STAT1737.IN3 FROM ROUTINE STAT1412 MAY SERVE AS THE INPUT FILE STAT1737.INP. STAT1737 IS THE TEST EVENT VERSION OF STAT1408. A CUMULATIVE FILE OF M0 DESIRED OUTPUT EVENTS PER EXECUTION IS GENERATED IN STAT94.IN2. STAT1737 AUTOMATICALLY GENERATES STAT1404.INP. CF. ALSO STAT1404 AND STAT1736. ======================================================================== -- L 1738 -- ( AUTOMATIC ELIMINATION OF SELECTED EVENTS FROM A FIXED SEQUENCE OF K0-ELEMENT EVENT EVENTS ) STAT1738 READS A SEQUENCE OF BMAX K0-ELEMENT INPUT EVENTS FROM STAT1738.INP, A SEQUENCE OF CMAX K0-ELEMENT EVENTS IN STAT1798.IN2 (DESIRED TO BE AUTOMATICALLY ELIMINATED FROM THE SEQUENCE IN STAT1738.INP), AND A SEQUENCE OF STAR EVENTS FROM BASE.INP. THE EVENTS IN STAT1738.INP ARE INTERSECTED WITH EACH EVENT OF STAT1738.IN2. THE K0-ELEMENT EVENTS OF STAT1738.IN2 ARE TACITLY ELIMINATED FROM THE SEQUENCE OF K0-ELEMENT EVENTS IN STAT1738.INP. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT REMAINING OVER THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1738 IS A VARIANT OF STAT1684, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1738.OUT AND STAT94.INP. CF. STAT1405 FOR EXTRACTION AND ELIMINATION OF REPETITIVE EVENTS FROM A FIXED SEQUENCE. ======================================================================== -- L 1739 -- ( GENERATING K0-ELEMENT EVENTS FROM A FIXED BLOCK OF EVENTS VIA SELECTED ROW INDICES FROM AN INPUT SEQUENCE ) VI STAT1739 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1739.INP, A SEQUENCE OF RMAX K0-ELEMENT ROW INDEX EVENTS FROM STAT1739.IN2 AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE ROW AND COLUMN INDEX SETS ARE USED TO SELECT K0-ELEMENT EVENTS FROM STAT1739.INP. ROW AND COLUMN INDICES FROM STAT1739.IN2 [ADJUSTED (MOD M0)] AND STAT1739.IN2 [ADJUSTED (MOD K0)] ARE AUTOMATICALLY MODIFIED FOR EXECUTION. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF FILTERED TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1739 IS A VARIANT OF STAT1735, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1739.OUT AND STAT94.INP. K0-ELEMENT EVENTS ARE GENERATED FROM THE (BMAXxK0)-DIMENSIONAL BLOCK IN STAT1739.INP BY BACKING UP R(I,J) UNITS FROM THE FINAL EVENT, WHERE R(I,J) IS A ROW INDEX FROM STAT1739.IN2, GENERATING K0-ELEMENT OUPUT TEST EVENTS OF THE FORM: (B(R(I,J),J),J=1,K0), RATHER THAN EVENTS OF THE FORM : (B(R(I,J),C(M,J)),J=1,K0). HOWEVER, CYCLIC BLOCKS NON-OVERLAPPING BLOCKS OF SIZE BMAX, ARE READ AND PROCESSED, RATHER THAN A SINGLE BLOCK OF BMAX TEST EVENTS. CF. ALSO STAT1308 FOR AN HYBRID VERSION OF STAT1739. ADDITIONALLY, GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1739.INP ARE INCLUDED AS OUTPUT EVENTS. ======================================================================== -- L 1740 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXX STAT1740 READS A VERY LARGE SEQUENCE OF K0-ELEMENT EVENTS FROM STAT1740.INP, E.G., WITH BLOCK-SIZE EXCEEDING 10,000 OR MORE AND ALSO READS A SEQUENCE OF BMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. CYCLICAL BMAX-EVENT BLOCKS OF K0-ELEMENT EVENTS ARE INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1740 IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF TEST EVENTS IS READ WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. A RANDOMLY GENERATED BLOCK OF K0-ELEMENT OUTPUT EVENTS IS [*]- QUALIFIED IF, AND ONLY IF, [ IMAX + 1 - H(II) ] > SMAX-1 , WHERE SMAX IS THE MAXIMUM STAR INDEX DISPLACEMENT FOR PRESCRIBED INTER- SECTIONS BETWEEN TEST EVENTS AND STAR EVENTS OVER IMAX STAR INDICES. IMAX IS THE FINAL STAR EVENT INDEX, II IS THE FINAL OCCURRENCE INDEX FOR INTERSECTIONS, AND MAX IS THE LARGEST INDEX DISPLACEMENT. STAT1740 IS A VARIANT/HYBRID OF STAT1605 AND STAT1280, EXECUTING UNTIL AN EXHAUSTIVE SEARCH IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS, MAKING STAT1740 AS TERSE AS DESIRED. STAT1740 IS THE TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1740 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1741 -- ( FILTERING PERMUTATIONS WITH NON-REPEATING ELEMENTS FROM ALL K0 COLUMNS OF A FIXED BLOCK OF K0-ELEMENT EVENTS ) II STAT1741 READS A SEQUENCE OF BMAX K0-ELEMENT INPUT TEST EVENTS FROM STAT1741.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. PERMUTATIONS CONSISTING OF ALL OCCURRING ELEMENTS IN EACH OF THE K0-COLUMNS OF THE BLOCK IN STAT1741.INP ARE EXTRACTED AND PRINTED FOR FUTURE USE AS PERM.OUT AND STAT1741.OUT. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS INTERSECTED WITH ALL GENERATED PERMUTATIONS FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH PERMUTATION. MOREOVER, OUTPUT PERMUTATIONS ARE PRINTED IN THE FILE PERM.OUT FOR FUTURE USE BY OTHER ROUTINES. 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 THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. STAT1741 IS A VARIANT OF STAT1726, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY ELEMENTS IN STAT1741.OUT AND PERM.OUT. ======================================================================== -- L 1742 -- ( PREDICTING FUTURE INTERSECTIONS FOR A CYCLIC BLOCK OF TEST EVENTS ) XXXXVIII STAT1742 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1742.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT1742.INP IS READ AS A FIXED BLOCK OF K0-ELEMENT EVENTS AND EACH SUCH EVENT IS INTERSECTED WITH EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. THE ROUTINE FILTERS A SEQUENCE OF BLOCKS OF K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE, M0, E.G., M0 = 1 , 2 , 3 , 4 , ... , 100. THE PROGRAM IS AUTOMATICALLY TERMINATED WHEN A SEQUENCE OF EVENTS IS GENERATED WHICH QUALIFIES AS A HIGH-PROBABILITY SEQUENCE. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN TEST EVENT AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1742 FILTERS TEST EVENTS FROM STAT1742.INP INTO STAT1742.OUT AND STAT94.INP. INPUT BLOCKS FROM STAT1742.INP ARE ACCEPTED AS [*]- QUALIFIED IF, TMAX LIES IN A DESIRED INTERVAL [T1,T2] U [T3,T4], WHERE TMAX IS THE NUMBER OF ELAPSED STAR EVENT INDICES SINCE AT LEAST ONE [3] , ... , [K0] SHOULD EITHER BE EXPECTED TO OCCUR OR SHOULD HAVE ALREADY OCCURRED. THIS PROCESS IS CYCLICALLY REPEATED OVER ALL STAR EVENTS. STAT1742 IS A VARIANT OF STAT1505, STREAMLINING OUTPUT UNTIL AN EXHAUSTIVE SEARCH OVER STAT1742.INP IS COMPLETED FOR QUALIFYING BLOCKS OF K0-ELEMENT EVENTS. HOWEVER, AN EXTENDED SET OF STAR INDICES ARE USED IN SELECTING QUALIFYING BLOCKS OF TEST EVENTS. CF. STAT1506 (AN EMBELLISHMENT OF STAT1323) FOR A VERSION OF STAT1742 WHICH GENERATES BLOCKS OF INPUT EVENTS RANDOMLY. STAT1742 USES A SEQUENCE OF CONSECUTIVE INDICES VS. TMAX TO GENERATE THE SPECTRUM OF BLOCKS OF EVENTS WHOSE VALUES OF TMAX MATCH THE GIVEN SEQUENCE OF INDICES WITHIN A DESIRED INTERVAL. CF. ALSO STAT1619, WHICH IS THE PERMUTATION VERSION OF STAT1742. STAT1742 IS A VARIANT OF STAT1618. HOWEVER, STAT1742.INP IS NOT LIMITED TO 1000 EVENTS. ======================================================================== -- L 1743 -- ( RANKING L0 ELEMENTS OVER EACH OF K0 COLUMNS VIA ELEMENT FREQUENCY ) VI READS A SEQUENCE OF K0-ELEMENT EVENTS ON THE ELEMENTS ( 1 , ... , L0 ) AND PRINTS THE ELEMENTS OF EACH OF J COLUMNS ( J = 1 , ... , K0 ) , AS J SEPARATE BLOCKS FOR STAT176.INP, BACKING-UP AND INCLUDING A DESIRED NUMBER, Q0, OF EVENTS (WITH, e.g., L0 = 39, K0 = 5 , AND Q0 = 10 ). THE ROUTINE ALSO PERFORMS A COLUMN-WISE SORT OF EACH OF THE K0 SEPARATE COLUMNS AND PRINTS, AS BEFORE. MOREOVER, THE ELEMENTS ARE RANKED IN DESCENDING ORDER OF FREQUENCY OVER EACH COLUMN AND THE MEAN IN EACH OF THE K0 COLUMNS OVER THE LAST IBACK EVENTS, AS WELL AS, A SEQUENCE OF M0 DESIRED (K0 x M0) ELEMENT BLOCKS ARE DETERMINED FOR ANALYSIS IN STAT361.INP. STAT1743 IS A VARIANT OF STAT1305 WITH ELEMENTS RANKED IN DESCENDING ORDER OF FREQUENCY. ======================================================================== -- L 1744 -- ( CONSTRUCTING (K0+1)-ELEMENT EVENTS FROM K0-ELEMENT EVENTS BY APPENDING SINGLETON ELEMENTS FROM A SEQUENCE OF ELEMENTS TO EACH K0-ELEMENT EVENT ) XIV STAT1744 READS A SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1744.INP, AN M0-ELEMENT SEQUENCE OF ELEMENTS FROM PERM.INP, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. EACH ELEMENT FROM THE SEQUENCE IN PERM.INP IS APPENDED AS A BONUS ELEMENT TO EACH EVENT OF STAT1744.INP TO GENERATE A SEQUENCE OF (K0+1)-ELEMENT EVENTS. THIS PROCESS IS CYCLICALL REPEATED M0 TIMES. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH GENERATED TEST EVENT FOR UP TO 400 POSSIBLE STAR EVENTS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1744 IS A VARIANT OF STAT1704, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1744.OUT AND STAT94.INP. A CUMULATIVE FILE OF QUALIFIYING EVENTS IS GENERATED IN STAT94.IN2. CF. ALSO STAT1114 AND STAT1115 FOR PROCESSING OF MULTIPLE COLUMNS. CF. ALSO STAT1606, STAT1628, STAT1684, STAT1687, STAT1696, STAT1702, AND STAT1704. CF. STAT1743 FOR GENERATION OF FILE PERM.INP. ======================================================================== -- L 1745 -- FILTERING K0-ELEMENT EVENTS FROM A LARGE SEQUENCE VIA DISCRETE SUBSETS INTERSECTED WITH ELEMENTS IN K0 DISTINCT COLUMNS XX STAT1745 READS A LARGE SEQUENCE OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1745.INP, A SEQUENCE OF K0 Q0-ELEMENT DISCRETE SETS FROM STAT1745.IN2, AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. ELEMENTS IN EACH COLUMN OF EACH K0-ELEMENT EVENT FROM STAT1745.INP ARE INTERSECTED WITH DISCRETE SETS IN STAT1745.IN2, GENERATED FROM K0 THE COLUMNS OF EACH STAR EVENT FROM BASE.INP. THOSE EVENTS ARE FILTERED AS [*]-QUALIFIED IF ELEMENTS FROM EACH OF THE K0 COLUMNS INTERSECTS AT LEAST ONE ELEMENT IN THE DISCRETE SET. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1745 IS A VARIANT OF STAT1483, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1745.OUT AND STAT94.INP. AN EVENT IS DETERMINED TO BE [*]-QUALIFIED IF, AND ONLY IF, ITS INTERSECTION WITH THE ENTIRE SEQUENCE OF STAR EVENTS YIELDS FREQUENCY COUNTS IN THE SET [T1,T2] FOR SOME SELECTED VALUES T1,T2. FURTHERMORE, QUALIFYING EVENTS ARE ALSO RANKED IN DESCENDING ORDER ORDER OF AGGREGATE INTERSECTION COUNTS OVER THE IMAX STAR EVENTS. CF. ALSO STAT1540 AND STAT1483. A CUMULATIVE SEQUENCE OF K0-ELEMENT TEST EVENTS IS GENERATED INTO STAT94.IN2 AND A CUMULATIVE SEQUENCE OF INDEX PERMUTATIONS IS GENERATED INTO PERM.NDX FOR USAGE IN EXTERNAL ROUTINES. CF. ALSO STAT1743 FOR GENERATION OF STAT1745.IN2. STAT1868 TACITLY GENERATES BOTH STAT1745.IN2 AND STAT1869.INP. ======================================================================== -- L 1746 -- ( PREDICTING FUTURE INTERSECTIONS FOR AN EXTENDED BLOCK OF TEST EVENTS WHICH ARE READ CYCLICALLY READ FROM A FIXED INPUT FILE ) XXXXXII STAT1746 READS A SEQUENCE OF CMAX K0-ELEMENT TRANSLATION EVENTS FROM STAT1746.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. TRANSLATION ELEMENTS (MOD M0) FOR SOME DESIRED INTEGER M0 ARE ADDED TO THE MEAN ELEMENT IN EACH OF THE K0-COLUMNS OVER THE IMAX STAR EVENTS. THIS PROCESS IS CYCLICALLY REPEATED OVER CMAX EVENTS. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1746 IS A VARIANT/HYBRID OF STAT1740 AND STAT1280, EXECUTING UNTIL CMAX EVENTS ARE GENERATED INTO STAT94.INP. STAT1746 IS THE K0-ELEMENT EVENTS, MAKING STAT1746 AS TERSE AS DESIRED. STAT1746 IS TEST EVENT VERSION OF STAT1273, AS WELL AS A VARIANT OF STAT1268. HOWEVER, PRINTED OUTPUT IS SUPPRESSED TO ALLOW FOR EXTENSIVE PROCESSING, MAKING STAT1746 AS TERSE AS DESIRED. CF. ALSO STAT1605. ======================================================================== -- L 1747 -- ( PREDICTING FUTURE INTERSECTIONS FOR PAIRS OF TEST EVENTS BASED UPON A MINIMUM OR MAXIMUM NUMBER OF COMMON ELEMENTS ) XXXXX STAT1747 READS A LARGE SEQUENCE OF K0-ELEMENT TEST EVENTS FROM STAT1747.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. THE INPUT SEQUENCE IN STAT1747.INP IS READ AS A SEQUENCE BMAX-EVENT NON-OVERLAPPING BLOCKS AND EACH SUCH EVENT IS INTERSECTED VS. EACH EVENT IN THE SEQUENCE OF STAR EVENTS READ FROM FILE BASE.INP. STAT1747 THEN DETERMINES AND FILTERS THOSE PAIRS OF INPUT EVENTS HAVING A DESIRED MIN OR MAX NUMBER OF COMMON ELEMENTS. THIS PROCESS IS REPEATED OVER A DESIRED NUMBER OF CYCLES AND INPUT BLOCK-SIZES. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1747 IS A VARIANT OF STAT1004, GENERATING A FIXED SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1747.OUT AND STAT94.INP. SEE ALSO STAT805. A CUMULATIVE FILE OF OUTPUT EVENTS IS GENERATED INTO STAT94.IN2. ======================================================================== -- L 1748 -- ( GENERATION OF NEW BLOCKS OF K0-ELEMENT EVENTS FROM 3-ELEMENT OR 4-ELEMENT SUBSEQUENCES UNION 2 ELEMENTS FROM A PRECEDING AND A SUCCESSIVE EVENT FOR EACH FIXED INPUT TEST EVENT ) STAT1748 READS A SEQUENCE OF BMAX K0-ELEMENT INPUT EVENTS FROM STAT1748.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. A SINGLETON ELEMENT FROM INTERIOR ELEMENTS OF THE PRECEDING AND SUCCESSIVE EVENT OF EACH INPUT EVENT OF STAT1748.INP IS ADDED TO EACH EVENT, GENERATING A NEW SEQUENCE OF TEST EVENTS. A SELECTED STAR EVENT OR SEQUENCE OF STAR EVENTS IS THEN INTERSECTED WITH EACH TEST EVENT GENERATED FROM THE ABOVE CYCLICAL PROCESS. THE ROUTINE FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF EACH TEST EVENT. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 EACH EVENT IN THE RANGE OF SELECTED STAR EVENTS. A CONFIGURATION MATRIX IS GENERATED WHICH INDICATES THE ELEMENTS IN COMMON BETWEEN PERMUTATIONS AND THE DESIRED RANGE OF SUCCESSIVE STAR EVENTS. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1748 IS A VARIANT OF STAT1606, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1748.OUT AND STAT94.INP. HOWEVER, ELEMENTS ARE NOT INTERCHANGED BETWEEN PAIRS OF EVENTS. GENERATED EVENTS ARE FILTERED BY SELECTING ONLY THOSE TEST EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS OF STAT1748.INP ARE INCLUDED AS OUTPUT. CF. STAT1746 FOR GENERATION OF STAT1748.INP AS STAT94.INP OR STAT94.IN2. ======================================================================== -- L 1749 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A DESIRED NUMBER OF NON-OVERLAPPING SUBSEQUENCES ) XXXXX STAT1749 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1749.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1749 IS A VARIANT OF STAT1694, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1749.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1749.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1661.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. THOSE SUBSEQUENCES OF INPUT TEST EVENTS ARE FILTERED AS [*]-QUALIFYING BLOCKS WHICH SATISFY THE CONDITION THAT | ( IMAX+1 ) - H(II) | .GE. V0 * KCT , FOR A DESIRED REAL V0. STAT1749 IS ALSO A VARIANT OF STAT805. A CUMULATIVE FILE OF EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1695. ======================================================================== -- L 1750 -- ( TESTING AND PREDICTING INTERSECTION PERFORMANCE OF K0-ELEMENT EVENTS FROM A DESIRED NUMBER OF NON-OVERLAPPING SUBSEQUENCES ) XXXXXI STAT1750 READS A LARGE BLOCK OF BMAX K0-ELEMENT TEST EVENTS FROM STAT1750.INP AND A SEQUENCE OF IMAX K0-ELEMENT STAR EVENTS FROM BASE.INP. K0-ELEMENT EVENTS OF A DESIRED BLOCK-SIZE ARE DIRECTLY INTERSECTED WITH THE SEQUENCE OF STAR EVENTS FROM BASE.INP. THE ROUTINE ALSO FLAGS THE ELEMENTS OF A DESIRED RANGE OF STAR EVENTS AS THEY OCCUR AMONG THE ELEMENTS OF INTERSECTING TEST EVENTS. MOREOVER, OUTPUT TEST EVENTS ARE PRINTED IN THE FILE STAT94.INP FOR FUTURE USE BY OTHER ROUTINES. 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 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. THE ROUTINE ALSO PREDICTS THE NEXT SUCCESSFUL INTERSECTION INDEX BETWEEN A STAR EVENT AND THE GENERATED BLOCK OF TEST EVENTS. STAT1750 IS A VARIANT OF STAT1749, TACITLY GENERATING A SEQUENCE OF HIGH-PROBABILITY TEST EVENTS IN STAT1750.OUT AND STAT94.INP. HOWEVER, MULTIPLE BLOCKS OF K0-ELEMENT INPUT EVENTS ARE PROCESSED, INSTEAD OF THREE. TEST EVENTS ARE FILTERED BY SELECTING ONLY THOSE EVENTS FROM THE SEQUENCE WITH INDICES WHICH ARE CONGRUENT TO AN ELEMENT OF A DESIRED INTEGRAL VECTOR SELECTED BY THE ANALYST, I.E., < M1, M2, M3, M4, ... , M10 > ( MOD T) , FOR SOME DESIRED INTEGER T AND SOME DESIRED SEQUENCE OF POSITIVE INTEGERS : M1, M2, M3, M4, M5, M6,M7, M8, M9, AND M10 (NOT NECESSARILY DISTINCT). EVENTS FROM STAT1750.INP ARE INCLUDED AS OUTPUT EVENTS. CF. STAT1649. CF. STAT1641 FOR GENERATING STAT1661.INP IN THE FORM OF STAT94.INP. CF. ALSO STAT1323, STAT1505, STAT1506, STAT1511, STAT1618 AND STAT1631. THOSE SUBSEQUENCES OF INPUT TEST EVENTS ARE FILTERED AS [*]-QUALIFYING BLOCKS WHICH SATISFY THE CONDITION THAT | ( IMAX+1 ) - H(II) | .EQ. V0 FOR SOME V0 IN . STAT1750 IS ALSO A VARIANT OF STAT805. A CUMULATIVE FILE OF EVENTS IS GENERATED INTO STAT94.IN2. CF. ALSO STAT1695. ========================================================================