(/VERSIONCHECK 2) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;numerator;2A;1|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;denominator;2A;2|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Thing|) |QFCAT-;init;A;3|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |QFCAT-;nextItem;AU;4|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |QFCAT-;map;M2A;5|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;reducedSystem;MM;6|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) (|%IntegerSection| 0)) |QFCAT-;characteristic;Nni;7|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Thing|) |QFCAT-;differentiate;AMA;8|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;convert;AIf;9|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;convert;AF;10|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%DoubleFloat|) |QFCAT-;convert;ADf;11|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|) |QFCAT-;<;2AB;12|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|) |QFCAT-;<;2AB;13|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Shell|) |%Boolean|) |QFCAT-;<;2AB;14|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;fractionPart;2A;15|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;coerce;SA;16|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;retract;AS;17|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |QFCAT-;retractIfCan;AU;18|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;convert;AP;19|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |QFCAT-;patternMatch;AP2Pmr;20|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;convert;AP;21|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Thing| |%Thing| |%Shell|) |%Thing|) |QFCAT-;patternMatch;AP2Pmr;22|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Thing|) |QFCAT-;coerce;FA;23|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Integer|) |QFCAT-;retract;AI;24|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| |%Shell|) |%Pair|) |QFCAT-;retractIfCan;AU;25|)) (DECLAIM (FTYPE (FUNCTION (|%Shell|) |%Thing|) |QFCAT-;random;A;26|)) (DECLAIM (FTYPE (FUNCTION (|%Thing| (|%Vector| *) |%Shell|) |%Pair|) |QFCAT-;reducedSystem;MVR;27|)) (DEFUN |QFCAT-;numerator;2A;1| (|x| $) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 9))) (DEFUN |QFCAT-;denominator;2A;2| (|x| $) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 9))) (DEFUN |QFCAT-;init;A;3| ($) (SPADCALL (|spadConstant| $ 13) (|spadConstant| $ 14) (|getShellEntry| $ 15))) (DEFUN |QFCAT-;nextItem;AU;4| (|n| $) (PROG (|m|) (RETURN (SEQ (LETT |m| (SPADCALL (SPADCALL |n| (|getShellEntry| $ 8)) (|getShellEntry| $ 18)) |QFCAT-;nextItem;AU;4|) (EXIT (COND ((QEQCAR |m| 1) (|error| "We seem to have a Fraction of a finite object")) ('T (CONS 0 (SPADCALL (QCDR |m|) (|spadConstant| $ 14) (|getShellEntry| $ 15)))))))))) (DEFUN |QFCAT-;map;M2A;5| (|fn| |x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) |fn|) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) |fn|) (|getShellEntry| $ 15))) (DEFUN |QFCAT-;reducedSystem;MM;6| (|m| $) (SPADCALL |m| (|getShellEntry| $ 26))) (DEFUN |QFCAT-;characteristic;Nni;7| ($) (SPADCALL (|getShellEntry| $ 30))) (DEFUN |QFCAT-;differentiate;AMA;8| (|x| |deriv| $) (PROG (|n| |d|) (RETURN (SEQ (LETT |n| (SPADCALL |x| (|getShellEntry| $ 8)) |QFCAT-;differentiate;AMA;8|) (LETT |d| (SPADCALL |x| (|getShellEntry| $ 11)) |QFCAT-;differentiate;AMA;8|) (EXIT (SPADCALL (SPADCALL (SPADCALL (SPADCALL |n| |deriv|) |d| (|getShellEntry| $ 32)) (SPADCALL |n| (SPADCALL |d| |deriv|) (|getShellEntry| $ 32)) (|getShellEntry| $ 33)) (SPADCALL |d| 2 (|getShellEntry| $ 35)) (|getShellEntry| $ 15))))))) (DEFUN |QFCAT-;convert;AIf;9| (|x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 38)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 38)) (|getShellEntry| $ 39))) (DEFUN |QFCAT-;convert;AF;10| (|x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 42)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 42)) (|getShellEntry| $ 43))) (DEFUN |QFCAT-;convert;ADf;11| (|x| $) (/ (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 46)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 46)))) (DEFUN |QFCAT-;<;2AB;12| (|x| |y| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (SPADCALL |y| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (SPADCALL (SPADCALL |y| (|getShellEntry| $ 8)) (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (|getShellEntry| $ 49))) (DEFUN |QFCAT-;<;2AB;13| (|x| |y| $) (PROG (|#G19| |#G20| |#G21| |#G22|) (RETURN (SEQ (COND ((SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|spadConstant| $ 51) (|getShellEntry| $ 49)) (PROGN (LETT |#G19| |y| |QFCAT-;<;2AB;13|) (LETT |#G20| |x| |QFCAT-;<;2AB;13|) (LETT |x| |#G19| |QFCAT-;<;2AB;13|) (LETT |y| |#G20| |QFCAT-;<;2AB;13|)))) (COND ((SPADCALL (SPADCALL |y| (|getShellEntry| $ 11)) (|spadConstant| $ 51) (|getShellEntry| $ 49)) (PROGN (LETT |#G21| |y| |QFCAT-;<;2AB;13|) (LETT |#G22| |x| |QFCAT-;<;2AB;13|) (LETT |x| |#G21| |QFCAT-;<;2AB;13|) (LETT |y| |#G22| |QFCAT-;<;2AB;13|)))) (EXIT (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (SPADCALL |y| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (SPADCALL (SPADCALL |y| (|getShellEntry| $ 8)) (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (|getShellEntry| $ 49))))))) (DEFUN |QFCAT-;<;2AB;14| (|x| |y| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (SPADCALL |y| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (SPADCALL (SPADCALL |y| (|getShellEntry| $ 8)) (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 32)) (|getShellEntry| $ 49))) (DEFUN |QFCAT-;fractionPart;2A;15| (|x| $) (SPADCALL |x| (SPADCALL (SPADCALL |x| (|getShellEntry| $ 52)) (|getShellEntry| $ 9)) (|getShellEntry| $ 53))) (DEFUN |QFCAT-;coerce;SA;16| (|s| $) (SPADCALL (SPADCALL |s| (|getShellEntry| $ 56)) (|getShellEntry| $ 9))) (DEFUN |QFCAT-;retract;AS;17| (|x| $) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 58)) (|getShellEntry| $ 59))) (DEFUN |QFCAT-;retractIfCan;AU;18| (|x| $) (PROG (|r|) (RETURN (SEQ (LETT |r| (SPADCALL |x| (|getShellEntry| $ 62)) |QFCAT-;retractIfCan;AU;18|) (EXIT (COND ((QEQCAR |r| 1) (CONS 1 "failed")) ('T (SPADCALL (QCDR |r|) (|getShellEntry| $ 64))))))))) (DEFUN |QFCAT-;convert;AP;19| (|x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 68)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 68)) (|getShellEntry| $ 69))) (DEFUN |QFCAT-;patternMatch;AP2Pmr;20| (|x| |p| |l| $) (SPADCALL |x| |p| |l| (|getShellEntry| $ 73))) (DEFUN |QFCAT-;convert;AP;21| (|x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 8)) (|getShellEntry| $ 77)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 11)) (|getShellEntry| $ 77)) (|getShellEntry| $ 78))) (DEFUN |QFCAT-;patternMatch;AP2Pmr;22| (|x| |p| |l| $) (SPADCALL |x| |p| |l| (|getShellEntry| $ 82))) (DEFUN |QFCAT-;coerce;FA;23| (|x| $) (SPADCALL (SPADCALL (SPADCALL |x| (|getShellEntry| $ 86)) (|getShellEntry| $ 87)) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 88)) (|getShellEntry| $ 87)) (|getShellEntry| $ 89))) (DEFUN |QFCAT-;retract;AI;24| (|x| $) (SPADCALL (SPADCALL |x| (|getShellEntry| $ 58)) (|getShellEntry| $ 91))) (DEFUN |QFCAT-;retractIfCan;AU;25| (|x| $) (PROG (|u|) (RETURN (SEQ (LETT |u| (SPADCALL |x| (|getShellEntry| $ 62)) |QFCAT-;retractIfCan;AU;25|) (EXIT (COND ((QEQCAR |u| 1) (CONS 1 "failed")) ('T (SPADCALL (QCDR |u|) (|getShellEntry| $ 94))))))))) (DEFUN |QFCAT-;random;A;26| ($) (PROG (|d|) (RETURN (SEQ (SEQ G190 (COND ((NULL (SPADCALL (LETT |d| (SPADCALL (|getShellEntry| $ 96)) |QFCAT-;random;A;26|) (|getShellEntry| $ 97))) (GO G191))) (SEQ (EXIT |d|)) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL (SPADCALL (|getShellEntry| $ 96)) |d| (|getShellEntry| $ 15))))))) (DEFUN |QFCAT-;reducedSystem;MVR;27| (|m| |v| $) (PROG (|n|) (RETURN (SEQ (LETT |n| (SPADCALL (SPADCALL (SPADCALL |v| (|getShellEntry| $ 100)) |m| (|getShellEntry| $ 101)) (|getShellEntry| $ 102)) |QFCAT-;reducedSystem;MVR;27|) (EXIT (CONS (SPADCALL |n| (SPADCALL |n| (|getShellEntry| $ 103)) (SPADCALL |n| (|getShellEntry| $ 104)) (+ 1 (SPADCALL |n| (|getShellEntry| $ 105))) (SPADCALL |n| (|getShellEntry| $ 106)) (|getShellEntry| $ 107)) (SPADCALL |n| (SPADCALL |n| (|getShellEntry| $ 105)) (|getShellEntry| $ 109)))))))) (DEFUN |QuotientFieldCategory&| (|#1| |#2|) (PROG (|dv$1| |dv$2| |dv$| $ |pv$|) (RETURN (PROGN (LETT |dv$1| (|devaluate| |#1|) . #0=(|QuotientFieldCategory&|)) (LETT |dv$2| (|devaluate| |#2|) . #0#) (LETT |dv$| (LIST '|QuotientFieldCategory&| |dv$1| |dv$2|) . #0#) (LETT $ (|newShell| 120) . #0#) (|setShellEntry| $ 0 |dv$|) (|setShellEntry| $ 3 (LETT |pv$| (|buildPredVector| 0 0 (LIST (|HasCategory| |#2| 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|QFCAT-;convert;AP;19|) $)) (COND ((|HasCategory| |#2| '(|PatternMatchable| (|Integer|))) (|setShellEntry| $ 75 (CONS (|dispatchFunction| |QFCAT-;patternMatch;AP2Pmr;20|) $))))))) (COND ((|HasCategory| |#2| '(|ConvertibleTo| (|Pattern| (|Float|)))) (PROGN (|setShellEntry| $ 79 (CONS (|dispatchFunction| |QFCAT-;convert;AP;21|) $)) (COND ((|HasCategory| |#2| '(|PatternMatchable| (|Float|))) (|setShellEntry| $ 84 (CONS (|dispatchFunction| |QFCAT-;patternMatch;AP2Pmr;22|) $))))))) (COND ((|testBitVector| |pv$| 11) (PROGN (|setShellEntry| $ 90 (CONS (|dispatchFunction| |QFCAT-;coerce;FA;23|) $)) (COND ((|domainEqual| |#2| (|Integer|))) ('T (PROGN (|setShellEntry| $ 92 (CONS (|dispatchFunction| |QFCAT-;retract;AI;24|) $)) (|setShellEntry| $ 95 (CONS (|dispatchFunction| |QFCAT-;retractIfCan;AU;25|) $)))))))) (COND ((|testBitVector| |pv$| 2) (|setShellEntry| $ 98 (CONS (|dispatchFunction| |QFCAT-;random;A;26|) $)))) $)))) (MAKEPROP '|QuotientFieldCategory&| '|infovec| (LIST '#(NIL NIL NIL NIL 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