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-rw-r--r--src/ChangeLog5
-rw-r--r--src/algebra/ffcat.spad.pamphlet651
-rw-r--r--src/algebra/fraction.spad.pamphlet576
-rw-r--r--src/algebra/polset.spad.pamphlet1042
-rw-r--r--src/algebra/polycat.spad.pamphlet6751
-rw-r--r--src/algebra/triset.spad.pamphlet1182
6 files changed, 6479 insertions, 3728 deletions
diff --git a/src/ChangeLog b/src/ChangeLog
index 6d714548..296ff535 100644
--- a/src/ChangeLog
+++ b/src/ChangeLog
@@ -4,6 +4,11 @@
* algebra/sf.spad.pamphlet: Likewise.
* algebra/si.spad.pamphlet: Likewise.
* algebra/fspace.spad.pamphlet: Likewise.
+ * algebra/ffcat.spad.pamphlet: Likewise.
+ * algebra/polset.spad.pamphlet: Likewise.
+ * algebra/fraction.spad.pamphlet: Likewise.
+ * algebra/triset.spad.pamphlet: Likewise.
+ * algebra/polycat.spad.pamphlet: Likewise.
2008-03-10 Gabriel Dos Reis <gdr@cs.tamu.edu>
diff --git a/src/algebra/ffcat.spad.pamphlet b/src/algebra/ffcat.spad.pamphlet
index 9505c555..f8047d80 100644
--- a/src/algebra/ffcat.spad.pamphlet
+++ b/src/algebra/ffcat.spad.pamphlet
@@ -714,15 +714,65 @@ Note that this code is not included in the generated catdef.spad file.
<<FFIELDC.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
+(/VERSIONCHECK 2)
-(SETQ |FiniteFieldCategory;AL| (QUOTE NIL))
+(DEFPARAMETER |FiniteFieldCategory;AL| 'NIL)
-(DEFUN |FiniteFieldCategory| NIL (LET (#:G83129) (COND (|FiniteFieldCategory;AL|) (T (SETQ |FiniteFieldCategory;AL| (|FiniteFieldCategory;|))))))
+(DEFUN |FiniteFieldCategory| ()
+ (LET (#:G1395)
+ (COND
+ (|FiniteFieldCategory;AL|)
+ (T (SETQ |FiniteFieldCategory;AL| (|FiniteFieldCategory;|))))))
-(DEFUN |FiniteFieldCategory;| NIL (PROG (#1=#:G83127) (RETURN (PROG1 (LETT #1# (|Join| (|FieldOfPrimeCharacteristic|) (|Finite|) (|StepThrough|) (|DifferentialRing|) (|mkCategory| (QUOTE |domain|) (QUOTE (((|charthRoot| (|$| |$|)) T) ((|conditionP| ((|Union| (|Vector| |$|) "failed") (|Matrix| |$|))) T) ((|factorsOfCyclicGroupSize| ((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|)))))) T) ((|tableForDiscreteLogarithm| ((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|))) T) ((|createPrimitiveElement| (|$|)) T) ((|primitiveElement| (|$|)) T) ((|primitive?| ((|Boolean|) |$|)) T) ((|discreteLog| ((|NonNegativeInteger|) |$|)) T) ((|order| ((|PositiveInteger|) |$|)) T) ((|representationType| ((|Union| "prime" "polynomial" "normal" "cyclic"))) T))) NIL (QUOTE ((|PositiveInteger|) (|NonNegativeInteger|) (|Boolean|) (|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|) (|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|)))) (|Matrix| |$|))) NIL)) |FiniteFieldCategory|) (SETELT #1# 0 (QUOTE (|FiniteFieldCategory|)))))))
+(DEFUN |FiniteFieldCategory;| ()
+ (PROG (#0=#:G1393)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|Join| (|FieldOfPrimeCharacteristic|) (|Finite|)
+ (|StepThrough|) (|DifferentialRing|)
+ (|mkCategory| '|domain|
+ '(((|charthRoot| ($ $)) T)
+ ((|conditionP|
+ ((|Union| (|Vector| $) "failed")
+ (|Matrix| $)))
+ T)
+ ((|factorsOfCyclicGroupSize|
+ ((|List|
+ (|Record|
+ (|:| |factor| (|Integer|))
+ (|:| |exponent| (|Integer|))))))
+ T)
+ ((|tableForDiscreteLogarithm|
+ ((|Table| (|PositiveInteger|)
+ (|NonNegativeInteger|))
+ (|Integer|)))
+ T)
+ ((|createPrimitiveElement| ($)) T)
+ ((|primitiveElement| ($)) T)
+ ((|primitive?| ((|Boolean|) $)) T)
+ ((|discreteLog|
+ ((|NonNegativeInteger|) $))
+ T)
+ ((|order| ((|PositiveInteger|) $)) T)
+ ((|representationType|
+ ((|Union| "prime" "polynomial"
+ "normal" "cyclic")))
+ T))
+ NIL
+ '((|PositiveInteger|)
+ (|NonNegativeInteger|) (|Boolean|)
+ (|Table| (|PositiveInteger|)
+ (|NonNegativeInteger|))
+ (|Integer|)
+ (|List| (|Record|
+ (|:| |factor| (|Integer|))
+ (|:| |exponent| (|Integer|))))
+ (|Matrix| $))
+ NIL))
+ |FiniteFieldCategory|)
+ (SETELT #0# 0 '(|FiniteFieldCategory|))))))
-(MAKEPROP (QUOTE |FiniteFieldCategory|) (QUOTE NILADIC) T)
+(MAKEPROP '|FiniteFieldCategory| 'NILADIC T)
@
\section{FFIELDC-.lsp BOOTSTRAP}
{\bf FFIELDC-} depends on {\bf FFIELDC}. We need to break this cycle to build
@@ -735,43 +785,596 @@ Note that this code is not included in the generated catdef.spad file.
<<FFIELDC-.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
+(/VERSIONCHECK 2)
-(DEFUN |FFIELDC-;differentiate;2S;1| (|x| |$|) (|spadConstant| |$| 7))
+(DEFUN |FFIELDC-;differentiate;2S;1| (|x| $) (|spadConstant| $ 7))
-(DEFUN |FFIELDC-;init;S;2| (|$|) (|spadConstant| |$| 7))
+(DEFUN |FFIELDC-;init;S;2| ($) (|spadConstant| $ 7))
-(DEFUN |FFIELDC-;nextItem;SU;3| (|a| |$|) (COND ((SPADCALL (LETT |a| (SPADCALL (|+| (SPADCALL |a| (QREFELT |$| 11)) 1) (QREFELT |$| 12)) |FFIELDC-;nextItem;SU;3|) (QREFELT |$| 14)) (CONS 1 "failed")) ((QUOTE T) (CONS 0 |a|))))
+(DEFUN |FFIELDC-;nextItem;SU;3| (|a| $)
+ (COND
+ ((SPADCALL
+ (LETT |a|
+ (SPADCALL (+ (SPADCALL |a| (QREFELT $ 11)) 1)
+ (QREFELT $ 12))
+ |FFIELDC-;nextItem;SU;3|)
+ (QREFELT $ 14))
+ (CONS 1 "failed"))
+ ('T (CONS 0 |a|))))
-(DEFUN |FFIELDC-;order;SOpc;4| (|e| |$|) (SPADCALL (SPADCALL |e| (QREFELT |$| 17)) (QREFELT |$| 20)))
+(DEFUN |FFIELDC-;order;SOpc;4| (|e| $)
+ (SPADCALL (SPADCALL |e| (QREFELT $ 17)) (QREFELT $ 20)))
-(DEFUN |FFIELDC-;conditionP;MU;5| (|mat| |$|) (PROG (|l|) (RETURN (SEQ (LETT |l| (SPADCALL |mat| (QREFELT |$| 24)) |FFIELDC-;conditionP;MU;5|) (COND ((OR (NULL |l|) (SPADCALL (ELT |$| 14) (|SPADfirst| |l|) (QREFELT |$| 27))) (EXIT (CONS 1 "failed")))) (EXIT (CONS 0 (SPADCALL (ELT |$| 28) (|SPADfirst| |l|) (QREFELT |$| 30))))))))
+(DEFUN |FFIELDC-;conditionP;MU;5| (|mat| $)
+ (PROG (|l|)
+ (RETURN
+ (SEQ (LETT |l| (SPADCALL |mat| (QREFELT $ 24))
+ |FFIELDC-;conditionP;MU;5|)
+ (COND
+ ((OR (NULL |l|)
+ (SPADCALL (ELT $ 14) (|SPADfirst| |l|)
+ (QREFELT $ 27)))
+ (EXIT (CONS 1 "failed"))))
+ (EXIT (CONS 0
+ (SPADCALL (ELT $ 28) (|SPADfirst| |l|)
+ (QREFELT $ 30))))))))
-(DEFUN |FFIELDC-;charthRoot;2S;6| (|x| |$|) (SPADCALL |x| (QUOTIENT2 (SPADCALL (QREFELT |$| 35)) (SPADCALL (QREFELT |$| 36))) (QREFELT |$| 37)))
+(DEFUN |FFIELDC-;charthRoot;2S;6| (|x| $)
+ (SPADCALL |x|
+ (QUOTIENT2 (SPADCALL (QREFELT $ 35)) (SPADCALL (QREFELT $ 36)))
+ (QREFELT $ 37)))
-(DEFUN |FFIELDC-;charthRoot;SU;7| (|x| |$|) (CONS 0 (SPADCALL |x| (QREFELT |$| 28))))
+(DEFUN |FFIELDC-;charthRoot;SU;7| (|x| $)
+ (CONS 0 (SPADCALL |x| (QREFELT $ 28))))
-(DEFUN |FFIELDC-;createPrimitiveElement;S;8| (|$|) (PROG (|sm1| |start| |i| #1=#:G83175 |e| |found|) (RETURN (SEQ (LETT |sm1| (|-| (SPADCALL (QREFELT |$| 35)) 1) |FFIELDC-;createPrimitiveElement;S;8|) (LETT |start| (COND ((SPADCALL (SPADCALL (QREFELT |$| 42)) (CONS 1 "polynomial") (QREFELT |$| 43)) (SPADCALL (QREFELT |$| 36))) ((QUOTE T) 1)) |FFIELDC-;createPrimitiveElement;S;8|) (LETT |found| (QUOTE NIL) |FFIELDC-;createPrimitiveElement;S;8|) (SEQ (LETT |i| |start| |FFIELDC-;createPrimitiveElement;S;8|) G190 (COND ((NULL (COND (|found| (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |e| (SPADCALL (PROG1 (LETT #1# |i| |FFIELDC-;createPrimitiveElement;S;8|) (|check-subtype| (|>| #1# 0) (QUOTE (|PositiveInteger|)) #1#)) (QREFELT |$| 12)) |FFIELDC-;createPrimitiveElement;S;8|) (EXIT (LETT |found| (EQL (SPADCALL |e| (QREFELT |$| 17)) |sm1|) |FFIELDC-;createPrimitiveElement;S;8|))) (LETT |i| (|+| |i| 1) |FFIELDC-;createPrimitiveElement;S;8|) (GO G190) G191 (EXIT NIL)) (EXIT |e|)))))
+(DEFUN |FFIELDC-;createPrimitiveElement;S;8| ($)
+ (PROG (|sm1| |start| |i| #0=#:G1434 |e| |found|)
+ (RETURN
+ (SEQ (LETT |sm1| (- (SPADCALL (QREFELT $ 35)) 1)
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ (LETT |start|
+ (COND
+ ((SPADCALL (SPADCALL (QREFELT $ 42))
+ (CONS 1 "polynomial") (QREFELT $ 43))
+ (SPADCALL (QREFELT $ 36)))
+ ('T 1))
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ (LETT |found| 'NIL |FFIELDC-;createPrimitiveElement;S;8|)
+ (SEQ (LETT |i| |start|
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ G190
+ (COND
+ ((NULL (SPADCALL |found| (QREFELT $ 44))) (GO G191)))
+ (SEQ (LETT |e|
+ (SPADCALL
+ (PROG1 (LETT #0# |i|
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ (|check-subtype| (> #0# 0)
+ '(|PositiveInteger|) #0#))
+ (QREFELT $ 12))
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ (EXIT (LETT |found|
+ (EQL (SPADCALL |e| (QREFELT $ 17))
+ |sm1|)
+ |FFIELDC-;createPrimitiveElement;S;8|)))
+ (LETT |i| (+ |i| 1)
+ |FFIELDC-;createPrimitiveElement;S;8|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT |e|)))))
-(DEFUN |FFIELDC-;primitive?;SB;9| (|a| |$|) (PROG (|explist| |q| |exp| #1=#:G83187 |equalone|) (RETURN (SEQ (COND ((SPADCALL |a| (QREFELT |$| 14)) (QUOTE NIL)) ((QUOTE T) (SEQ (LETT |explist| (SPADCALL (QREFELT |$| 47)) |FFIELDC-;primitive?;SB;9|) (LETT |q| (|-| (SPADCALL (QREFELT |$| 35)) 1) |FFIELDC-;primitive?;SB;9|) (LETT |equalone| (QUOTE NIL) |FFIELDC-;primitive?;SB;9|) (SEQ (LETT |exp| NIL |FFIELDC-;primitive?;SB;9|) (LETT #1# |explist| |FFIELDC-;primitive?;SB;9|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |exp| (CAR #1#) |FFIELDC-;primitive?;SB;9|) NIL) (NULL (COND (|equalone| (QUOTE NIL)) ((QUOTE T) (QUOTE T))))) (GO G191))) (SEQ (EXIT (LETT |equalone| (SPADCALL (SPADCALL |a| (QUOTIENT2 |q| (QCAR |exp|)) (QREFELT |$| 48)) (QREFELT |$| 49)) |FFIELDC-;primitive?;SB;9|))) (LETT #1# (CDR #1#) |FFIELDC-;primitive?;SB;9|) (GO G190) G191 (EXIT NIL)) (EXIT (COND (|equalone| (QUOTE NIL)) ((QUOTE T) (QUOTE T)))))))))))
+(DEFUN |FFIELDC-;primitive?;SB;9| (|a| $)
+ (PROG (|explist| |q| |exp| #0=#:G1446 |equalone|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |a| (QREFELT $ 14)) 'NIL)
+ ('T
+ (SEQ (LETT |explist| (SPADCALL (QREFELT $ 48))
+ |FFIELDC-;primitive?;SB;9|)
+ (LETT |q| (- (SPADCALL (QREFELT $ 35)) 1)
+ |FFIELDC-;primitive?;SB;9|)
+ (LETT |equalone| 'NIL |FFIELDC-;primitive?;SB;9|)
+ (SEQ (LETT |exp| NIL |FFIELDC-;primitive?;SB;9|)
+ (LETT #0# |explist| |FFIELDC-;primitive?;SB;9|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |exp| (CAR #0#)
+ |FFIELDC-;primitive?;SB;9|)
+ NIL)
+ (NULL (SPADCALL |equalone|
+ (QREFELT $ 44))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |equalone|
+ (SPADCALL
+ (SPADCALL |a|
+ (QUOTIENT2 |q| (QCAR |exp|))
+ (QREFELT $ 49))
+ (|spadConstant| $ 40)
+ (QREFELT $ 50))
+ |FFIELDC-;primitive?;SB;9|)))
+ (LETT #0# (CDR #0#) |FFIELDC-;primitive?;SB;9|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |equalone| (QREFELT $ 44))))))))))
-(DEFUN |FFIELDC-;order;SPi;10| (|e| |$|) (PROG (|lof| |rec| #1=#:G83195 |primeDivisor| |j| #2=#:G83196 |a| |goon| |ord|) (RETURN (SEQ (COND ((SPADCALL |e| (|spadConstant| |$| 7) (QREFELT |$| 51)) (|error| "order(0) is not defined ")) ((QUOTE T) (SEQ (LETT |ord| (|-| (SPADCALL (QREFELT |$| 35)) 1) |FFIELDC-;order;SPi;10|) (LETT |a| 0 |FFIELDC-;order;SPi;10|) (LETT |lof| (SPADCALL (QREFELT |$| 47)) |FFIELDC-;order;SPi;10|) (SEQ (LETT |rec| NIL |FFIELDC-;order;SPi;10|) (LETT #1# |lof| |FFIELDC-;order;SPi;10|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |rec| (CAR #1#) |FFIELDC-;order;SPi;10|) NIL)) (GO G191))) (SEQ (LETT |a| (QUOTIENT2 |ord| (LETT |primeDivisor| (QCAR |rec|) |FFIELDC-;order;SPi;10|)) |FFIELDC-;order;SPi;10|) (LETT |goon| (SPADCALL (SPADCALL |e| |a| (QREFELT |$| 48)) (QREFELT |$| 49)) |FFIELDC-;order;SPi;10|) (SEQ (LETT |j| 0 |FFIELDC-;order;SPi;10|) (LETT #2# (|-| (QCDR |rec|) 2) |FFIELDC-;order;SPi;10|) G190 (COND ((OR (QSGREATERP |j| #2#) (NULL |goon|)) (GO G191))) (SEQ (LETT |ord| |a| |FFIELDC-;order;SPi;10|) (LETT |a| (QUOTIENT2 |ord| |primeDivisor|) |FFIELDC-;order;SPi;10|) (EXIT (LETT |goon| (SPADCALL (SPADCALL |e| |a| (QREFELT |$| 48)) (QREFELT |$| 49)) |FFIELDC-;order;SPi;10|))) (LETT |j| (QSADD1 |j|) |FFIELDC-;order;SPi;10|) (GO G190) G191 (EXIT NIL)) (EXIT (COND (|goon| (LETT |ord| |a| |FFIELDC-;order;SPi;10|))))) (LETT #1# (CDR #1#) |FFIELDC-;order;SPi;10|) (GO G190) G191 (EXIT NIL)) (EXIT |ord|))))))))
+(DEFUN |FFIELDC-;order;SPi;10| (|e| $)
+ (PROG (|lof| |rec| #0=#:G1454 |primeDivisor| |j| #1=#:G1455 |a|
+ |goon| |ord|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |e| (|spadConstant| $ 7) (QREFELT $ 50))
+ (|error| "order(0) is not defined "))
+ ('T
+ (SEQ (LETT |ord| (- (SPADCALL (QREFELT $ 35)) 1)
+ |FFIELDC-;order;SPi;10|)
+ (LETT |a| 0 |FFIELDC-;order;SPi;10|)
+ (LETT |lof| (SPADCALL (QREFELT $ 48))
+ |FFIELDC-;order;SPi;10|)
+ (SEQ (LETT |rec| NIL |FFIELDC-;order;SPi;10|)
+ (LETT #0# |lof| |FFIELDC-;order;SPi;10|) G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |rec| (CAR #0#)
+ |FFIELDC-;order;SPi;10|)
+ NIL))
+ (GO G191)))
+ (SEQ (LETT |a|
+ (QUOTIENT2 |ord|
+ (LETT |primeDivisor| (QCAR |rec|)
+ |FFIELDC-;order;SPi;10|))
+ |FFIELDC-;order;SPi;10|)
+ (LETT |goon|
+ (SPADCALL
+ (SPADCALL |e| |a| (QREFELT $ 49))
+ (|spadConstant| $ 40)
+ (QREFELT $ 50))
+ |FFIELDC-;order;SPi;10|)
+ (SEQ (LETT |j| 0 |FFIELDC-;order;SPi;10|)
+ (LETT #1# (- (QCDR |rec|) 2)
+ |FFIELDC-;order;SPi;10|)
+ G190
+ (COND
+ ((OR (QSGREATERP |j| #1#)
+ (NULL |goon|))
+ (GO G191)))
+ (SEQ (LETT |ord| |a|
+ |FFIELDC-;order;SPi;10|)
+ (LETT |a|
+ (QUOTIENT2 |ord|
+ |primeDivisor|)
+ |FFIELDC-;order;SPi;10|)
+ (EXIT
+ (LETT |goon|
+ (SPADCALL
+ (SPADCALL |e| |a|
+ (QREFELT $ 49))
+ (|spadConstant| $ 40)
+ (QREFELT $ 50))
+ |FFIELDC-;order;SPi;10|)))
+ (LETT |j| (QSADD1 |j|)
+ |FFIELDC-;order;SPi;10|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT (COND
+ (|goon|
+ (LETT |ord| |a|
+ |FFIELDC-;order;SPi;10|)))))
+ (LETT #0# (CDR #0#) |FFIELDC-;order;SPi;10|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT |ord|))))))))
-(DEFUN |FFIELDC-;discreteLog;SNni;11| (|b| |$|) (PROG (|faclist| |gen| |groupord| |f| #1=#:G83216 |fac| |t| #2=#:G83217 |exp| |exptable| |n| |end| |i| |rho| |found| |disc1| |c| |mult| |disclog| |a|) (RETURN (SEQ (COND ((SPADCALL |b| (QREFELT |$| 14)) (|error| "discreteLog: logarithm of zero")) ((QUOTE T) (SEQ (LETT |faclist| (SPADCALL (QREFELT |$| 47)) |FFIELDC-;discreteLog;SNni;11|) (LETT |a| |b| |FFIELDC-;discreteLog;SNni;11|) (LETT |gen| (SPADCALL (QREFELT |$| 53)) |FFIELDC-;discreteLog;SNni;11|) (EXIT (COND ((SPADCALL |b| |gen| (QREFELT |$| 51)) 1) ((QUOTE T) (SEQ (LETT |disclog| 0 |FFIELDC-;discreteLog;SNni;11|) (LETT |mult| 1 |FFIELDC-;discreteLog;SNni;11|) (LETT |groupord| (|-| (SPADCALL (QREFELT |$| 35)) 1) |FFIELDC-;discreteLog;SNni;11|) (LETT |exp| |groupord| |FFIELDC-;discreteLog;SNni;11|) (SEQ (LETT |f| NIL |FFIELDC-;discreteLog;SNni;11|) (LETT #1# |faclist| |FFIELDC-;discreteLog;SNni;11|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |f| (CAR #1#) |FFIELDC-;discreteLog;SNni;11|) NIL)) (GO G191))) (SEQ (LETT |fac| (QCAR |f|) |FFIELDC-;discreteLog;SNni;11|) (EXIT (SEQ (LETT |t| 0 |FFIELDC-;discreteLog;SNni;11|) (LETT #2# (|-| (QCDR |f|) 1) |FFIELDC-;discreteLog;SNni;11|) G190 (COND ((QSGREATERP |t| #2#) (GO G191))) (SEQ (LETT |exp| (QUOTIENT2 |exp| |fac|) |FFIELDC-;discreteLog;SNni;11|) (LETT |exptable| (SPADCALL |fac| (QREFELT |$| 55)) |FFIELDC-;discreteLog;SNni;11|) (LETT |n| (SPADCALL |exptable| (QREFELT |$| 56)) |FFIELDC-;discreteLog;SNni;11|) (LETT |c| (SPADCALL |a| |exp| (QREFELT |$| 48)) |FFIELDC-;discreteLog;SNni;11|) (LETT |end| (QUOTIENT2 (|-| |fac| 1) |n|) |FFIELDC-;discreteLog;SNni;11|) (LETT |found| (QUOTE NIL) |FFIELDC-;discreteLog;SNni;11|) (LETT |disc1| 0 |FFIELDC-;discreteLog;SNni;11|) (SEQ (LETT |i| 0 |FFIELDC-;discreteLog;SNni;11|) G190 (COND ((OR (QSGREATERP |i| |end|) (NULL (COND (|found| (QUOTE NIL)) ((QUOTE T) (QUOTE T))))) (GO G191))) (SEQ (LETT |rho| (SPADCALL (SPADCALL |c| (QREFELT |$| 11)) |exptable| (QREFELT |$| 58)) |FFIELDC-;discreteLog;SNni;11|) (EXIT (COND ((QEQCAR |rho| 0) (SEQ (LETT |found| (QUOTE T) |FFIELDC-;discreteLog;SNni;11|) (EXIT (LETT |disc1| (|*| (|+| (|*| |n| |i|) (QCDR |rho|)) |mult|) |FFIELDC-;discreteLog;SNni;11|)))) ((QUOTE T) (LETT |c| (SPADCALL |c| (SPADCALL |gen| (|*| (QUOTIENT2 |groupord| |fac|) (|-| |n|)) (QREFELT |$| 48)) (QREFELT |$| 59)) |FFIELDC-;discreteLog;SNni;11|))))) (LETT |i| (QSADD1 |i|) |FFIELDC-;discreteLog;SNni;11|) (GO G190) G191 (EXIT NIL)) (EXIT (COND (|found| (SEQ (LETT |mult| (|*| |mult| |fac|) |FFIELDC-;discreteLog;SNni;11|) (LETT |disclog| (|+| |disclog| |disc1|) |FFIELDC-;discreteLog;SNni;11|) (EXIT (LETT |a| (SPADCALL |a| (SPADCALL |gen| (|-| |disc1|) (QREFELT |$| 48)) (QREFELT |$| 59)) |FFIELDC-;discreteLog;SNni;11|)))) ((QUOTE T) (|error| "discreteLog: ?? discrete logarithm"))))) (LETT |t| (QSADD1 |t|) |FFIELDC-;discreteLog;SNni;11|) (GO G190) G191 (EXIT NIL)))) (LETT #1# (CDR #1#) |FFIELDC-;discreteLog;SNni;11|) (GO G190) G191 (EXIT NIL)) (EXIT |disclog|))))))))))))
+(DEFUN |FFIELDC-;discreteLog;SNni;11| (|b| $)
+ (PROG (|faclist| |gen| |groupord| |f| #0=#:G1475 |fac| |t| #1=#:G1476
+ |exp| |exptable| |n| |end| |i| |rho| |found| |disc1| |c|
+ |mult| |disclog| |a|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |b| (QREFELT $ 14))
+ (|error| "discreteLog: logarithm of zero"))
+ ('T
+ (SEQ (LETT |faclist| (SPADCALL (QREFELT $ 48))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |a| |b| |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |gen| (SPADCALL (QREFELT $ 53))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (EXIT (COND
+ ((SPADCALL |b| |gen| (QREFELT $ 50)) 1)
+ ('T
+ (SEQ (LETT |disclog| 0
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |mult| 1
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |groupord|
+ (- (SPADCALL (QREFELT $ 35)) 1)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |exp| |groupord|
+ |FFIELDC-;discreteLog;SNni;11|)
+ (SEQ (LETT |f| NIL
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT #0# |faclist|
+ |FFIELDC-;discreteLog;SNni;11|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |f| (CAR #0#)
+ |FFIELDC-;discreteLog;SNni;11|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (LETT |fac| (QCAR |f|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (EXIT
+ (SEQ
+ (LETT |t| 0
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT #1# (- (QCDR |f|) 1)
+ |FFIELDC-;discreteLog;SNni;11|)
+ G190
+ (COND
+ ((QSGREATERP |t| #1#)
+ (GO G191)))
+ (SEQ
+ (LETT |exp|
+ (QUOTIENT2 |exp| |fac|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |exptable|
+ (SPADCALL |fac|
+ (QREFELT $ 55))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |n|
+ (SPADCALL |exptable|
+ (QREFELT $ 56))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |c|
+ (SPADCALL |a| |exp|
+ (QREFELT $ 49))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |end|
+ (QUOTIENT2 (- |fac| 1) |n|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |found| 'NIL
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |disc1| 0
+ |FFIELDC-;discreteLog;SNni;11|)
+ (SEQ
+ (LETT |i| 0
+ |FFIELDC-;discreteLog;SNni;11|)
+ G190
+ (COND
+ ((OR
+ (QSGREATERP |i| |end|)
+ (NULL
+ (SPADCALL |found|
+ (QREFELT $ 44))))
+ (GO G191)))
+ (SEQ
+ (LETT |rho|
+ (SPADCALL
+ (SPADCALL |c|
+ (QREFELT $ 11))
+ |exptable|
+ (QREFELT $ 58))
+ |FFIELDC-;discreteLog;SNni;11|)
+ (EXIT
+ (COND
+ ((QEQCAR |rho| 0)
+ (SEQ
+ (LETT |found| 'T
+ |FFIELDC-;discreteLog;SNni;11|)
+ (EXIT
+ (LETT |disc1|
+ (*
+ (+ (* |n| |i|)
+ (QCDR |rho|))
+ |mult|)
+ |FFIELDC-;discreteLog;SNni;11|))))
+ ('T
+ (LETT |c|
+ (SPADCALL |c|
+ (SPADCALL |gen|
+ (*
+ (QUOTIENT2
+ |groupord| |fac|)
+ (- |n|))
+ (QREFELT $ 49))
+ (QREFELT $ 59))
+ |FFIELDC-;discreteLog;SNni;11|)))))
+ (LETT |i| (QSADD1 |i|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT
+ (COND
+ (|found|
+ (SEQ
+ (LETT |mult|
+ (* |mult| |fac|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (LETT |disclog|
+ (+ |disclog| |disc1|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (EXIT
+ (LETT |a|
+ (SPADCALL |a|
+ (SPADCALL |gen|
+ (- |disc1|)
+ (QREFELT $ 49))
+ (QREFELT $ 59))
+ |FFIELDC-;discreteLog;SNni;11|))))
+ ('T
+ (|error|
+ "discreteLog: ?? discrete logarithm")))))
+ (LETT |t| (QSADD1 |t|)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (GO G190) G191 (EXIT NIL))))
+ (LETT #0# (CDR #0#)
+ |FFIELDC-;discreteLog;SNni;11|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT |disclog|))))))))))))
-(DEFUN |FFIELDC-;discreteLog;2SU;12| (|logbase| |b| |$|) (PROG (|groupord| |faclist| |f| #1=#:G83235 |fac| |primroot| |t| #2=#:G83236 |exp| |rhoHelp| #3=#:G83234 |rho| |disclog| |mult| |a|) (RETURN (SEQ (EXIT (COND ((SPADCALL |b| (QREFELT |$| 14)) (SEQ (SPADCALL "discreteLog: logarithm of zero" (QREFELT |$| 64)) (EXIT (CONS 1 "failed")))) ((SPADCALL |logbase| (QREFELT |$| 14)) (SEQ (SPADCALL "discreteLog: logarithm to base zero" (QREFELT |$| 64)) (EXIT (CONS 1 "failed")))) ((SPADCALL |b| |logbase| (QREFELT |$| 51)) (CONS 0 1)) ((QUOTE T) (COND ((NULL (ZEROP (REMAINDER2 (LETT |groupord| (SPADCALL |logbase| (QREFELT |$| 17)) |FFIELDC-;discreteLog;2SU;12|) (SPADCALL |b| (QREFELT |$| 17))))) (SEQ (SPADCALL "discreteLog: second argument not in cyclic group generated by first argument" (QREFELT |$| 64)) (EXIT (CONS 1 "failed")))) ((QUOTE T) (SEQ (LETT |faclist| (SPADCALL (SPADCALL |groupord| (QREFELT |$| 66)) (QREFELT |$| 68)) |FFIELDC-;discreteLog;2SU;12|) (LETT |a| |b| |FFIELDC-;discreteLog;2SU;12|) (LETT |disclog| 0 |FFIELDC-;discreteLog;2SU;12|) (LETT |mult| 1 |FFIELDC-;discreteLog;2SU;12|) (LETT |exp| |groupord| |FFIELDC-;discreteLog;2SU;12|) (SEQ (LETT |f| NIL |FFIELDC-;discreteLog;2SU;12|) (LETT #1# |faclist| |FFIELDC-;discreteLog;2SU;12|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |f| (CAR #1#) |FFIELDC-;discreteLog;2SU;12|) NIL)) (GO G191))) (SEQ (LETT |fac| (QCAR |f|) |FFIELDC-;discreteLog;2SU;12|) (LETT |primroot| (SPADCALL |logbase| (QUOTIENT2 |groupord| |fac|) (QREFELT |$| 48)) |FFIELDC-;discreteLog;2SU;12|) (EXIT (SEQ (LETT |t| 0 |FFIELDC-;discreteLog;2SU;12|) (LETT #2# (|-| (QCDR |f|) 1) |FFIELDC-;discreteLog;2SU;12|) G190 (COND ((QSGREATERP |t| #2#) (GO G191))) (SEQ (LETT |exp| (QUOTIENT2 |exp| |fac|) |FFIELDC-;discreteLog;2SU;12|) (LETT |rhoHelp| (SPADCALL |primroot| (SPADCALL |a| |exp| (QREFELT |$| 48)) |fac| (QREFELT |$| 70)) |FFIELDC-;discreteLog;2SU;12|) (EXIT (COND ((QEQCAR |rhoHelp| 1) (PROGN (LETT #3# (CONS 1 "failed") |FFIELDC-;discreteLog;2SU;12|) (GO #3#))) ((QUOTE T) (SEQ (LETT |rho| (|*| (QCDR |rhoHelp|) |mult|) |FFIELDC-;discreteLog;2SU;12|) (LETT |disclog| (|+| |disclog| |rho|) |FFIELDC-;discreteLog;2SU;12|) (LETT |mult| (|*| |mult| |fac|) |FFIELDC-;discreteLog;2SU;12|) (EXIT (LETT |a| (SPADCALL |a| (SPADCALL |logbase| (|-| |rho|) (QREFELT |$| 48)) (QREFELT |$| 59)) |FFIELDC-;discreteLog;2SU;12|))))))) (LETT |t| (QSADD1 |t|) |FFIELDC-;discreteLog;2SU;12|) (GO G190) G191 (EXIT NIL)))) (LETT #1# (CDR #1#) |FFIELDC-;discreteLog;2SU;12|) (GO G190) G191 (EXIT NIL)) (EXIT (CONS 0 |disclog|)))))))) #3# (EXIT #3#)))))
+(DEFUN |FFIELDC-;discreteLog;2SU;12| (|logbase| |b| $)
+ (PROG (|groupord| |faclist| |f| #0=#:G1494 |fac| |primroot| |t|
+ #1=#:G1495 |exp| |rhoHelp| #2=#:G1493 |rho| |disclog|
+ |mult| |a|)
+ (RETURN
+ (SEQ (EXIT (COND
+ ((SPADCALL |b| (QREFELT $ 14))
+ (SEQ (SPADCALL "discreteLog: logarithm of zero"
+ (QREFELT $ 64))
+ (EXIT (CONS 1 "failed"))))
+ ((SPADCALL |logbase| (QREFELT $ 14))
+ (SEQ (SPADCALL
+ "discreteLog: logarithm to base zero"
+ (QREFELT $ 64))
+ (EXIT (CONS 1 "failed"))))
+ ((SPADCALL |b| |logbase| (QREFELT $ 50)) (CONS 0 1))
+ ('T
+ (COND
+ ((NULL (ZEROP (REMAINDER2
+ (LETT |groupord|
+ (SPADCALL |logbase|
+ (QREFELT $ 17))
+ |FFIELDC-;discreteLog;2SU;12|)
+ (SPADCALL |b| (QREFELT $ 17)))))
+ (SEQ (SPADCALL
+ "discreteLog: second argument not in cyclic group generated by first argument"
+ (QREFELT $ 64))
+ (EXIT (CONS 1 "failed"))))
+ ('T
+ (SEQ (LETT |faclist|
+ (SPADCALL
+ (SPADCALL |groupord|
+ (QREFELT $ 66))
+ (QREFELT $ 68))
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |a| |b|
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |disclog| 0
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |mult| 1
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |exp| |groupord|
+ |FFIELDC-;discreteLog;2SU;12|)
+ (SEQ (LETT |f| NIL
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT #0# |faclist|
+ |FFIELDC-;discreteLog;2SU;12|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |f| (CAR #0#)
+ |FFIELDC-;discreteLog;2SU;12|)
+ NIL))
+ (GO G191)))
+ (SEQ (LETT |fac| (QCAR |f|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |primroot|
+ (SPADCALL |logbase|
+ (QUOTIENT2 |groupord| |fac|)
+ (QREFELT $ 49))
+ |FFIELDC-;discreteLog;2SU;12|)
+ (EXIT
+ (SEQ
+ (LETT |t| 0
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT #1# (- (QCDR |f|) 1)
+ |FFIELDC-;discreteLog;2SU;12|)
+ G190
+ (COND
+ ((QSGREATERP |t| #1#)
+ (GO G191)))
+ (SEQ
+ (LETT |exp|
+ (QUOTIENT2 |exp| |fac|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |rhoHelp|
+ (SPADCALL |primroot|
+ (SPADCALL |a| |exp|
+ (QREFELT $ 49))
+ |fac| (QREFELT $ 70))
+ |FFIELDC-;discreteLog;2SU;12|)
+ (EXIT
+ (COND
+ ((QEQCAR |rhoHelp| 1)
+ (PROGN
+ (LETT #2#
+ (CONS 1 "failed")
+ |FFIELDC-;discreteLog;2SU;12|)
+ (GO #2#)))
+ ('T
+ (SEQ
+ (LETT |rho|
+ (* (QCDR |rhoHelp|)
+ |mult|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |disclog|
+ (+ |disclog| |rho|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (LETT |mult|
+ (* |mult| |fac|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (EXIT
+ (LETT |a|
+ (SPADCALL |a|
+ (SPADCALL |logbase|
+ (- |rho|)
+ (QREFELT $ 49))
+ (QREFELT $ 59))
+ |FFIELDC-;discreteLog;2SU;12|)))))))
+ (LETT |t| (QSADD1 |t|)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (GO G190) G191 (EXIT NIL))))
+ (LETT #0# (CDR #0#)
+ |FFIELDC-;discreteLog;2SU;12|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT (CONS 0 |disclog|))))))))
+ #2# (EXIT #2#)))))
-(DEFUN |FFIELDC-;squareFreePolynomial| (|f| |$|) (SPADCALL |f| (QREFELT |$| 75)))
+(DEFUN |FFIELDC-;squareFreePolynomial| (|f| $)
+ (SPADCALL |f| (QREFELT $ 75)))
-(DEFUN |FFIELDC-;factorPolynomial| (|f| |$|) (SPADCALL |f| (QREFELT |$| 77)))
+(DEFUN |FFIELDC-;factorPolynomial| (|f| $)
+ (SPADCALL |f| (QREFELT $ 77)))
-(DEFUN |FFIELDC-;factorSquareFreePolynomial| (|f| |$|) (PROG (|flist| |u| #1=#:G83248 #2=#:G83245 #3=#:G83243 #4=#:G83244) (RETURN (SEQ (COND ((SPADCALL |f| (|spadConstant| |$| 78) (QREFELT |$| 79)) (|spadConstant| |$| 80)) ((QUOTE T) (SEQ (LETT |flist| (SPADCALL |f| (QUOTE T) (QREFELT |$| 83)) |FFIELDC-;factorSquareFreePolynomial|) (EXIT (SPADCALL (SPADCALL (QCAR |flist|) (QREFELT |$| 84)) (PROGN (LETT #4# NIL |FFIELDC-;factorSquareFreePolynomial|) (SEQ (LETT |u| NIL |FFIELDC-;factorSquareFreePolynomial|) (LETT #1# (QCDR |flist|) |FFIELDC-;factorSquareFreePolynomial|) G190 (COND ((OR (ATOM #1#) (PROGN (LETT |u| (CAR #1#) |FFIELDC-;factorSquareFreePolynomial|) NIL)) (GO G191))) (SEQ (EXIT (PROGN (LETT #2# (SPADCALL (QCAR |u|) (QCDR |u|) (QREFELT |$| 85)) |FFIELDC-;factorSquareFreePolynomial|) (COND (#4# (LETT #3# (SPADCALL #3# #2# (QREFELT |$| 86)) |FFIELDC-;factorSquareFreePolynomial|)) ((QUOTE T) (PROGN (LETT #3# #2# |FFIELDC-;factorSquareFreePolynomial|) (LETT #4# (QUOTE T) |FFIELDC-;factorSquareFreePolynomial|))))))) (LETT #1# (CDR #1#) |FFIELDC-;factorSquareFreePolynomial|) (GO G190) G191 (EXIT NIL)) (COND (#4# #3#) ((QUOTE T) (|spadConstant| |$| 87)))) (QREFELT |$| 88))))))))))
+(DEFUN |FFIELDC-;factorSquareFreePolynomial| (|f| $)
+ (PROG (|flist| |u| #0=#:G1507 #1=#:G1504 #2=#:G1502 #3=#:G1503)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |f| (|spadConstant| $ 78) (QREFELT $ 79))
+ (|spadConstant| $ 80))
+ ('T
+ (SEQ (LETT |flist| (SPADCALL |f| 'T (QREFELT $ 83))
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (EXIT (SPADCALL
+ (SPADCALL (QCAR |flist|) (QREFELT $ 84))
+ (PROGN
+ (LETT #3# NIL
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (SEQ (LETT |u| NIL
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (LETT #0# (QCDR |flist|)
+ |FFIELDC-;factorSquareFreePolynomial|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |u| (CAR #0#)
+ |FFIELDC-;factorSquareFreePolynomial|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (PROGN
+ (LETT #1#
+ (SPADCALL (QCAR |u|)
+ (QCDR |u|) (QREFELT $ 85))
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (COND
+ (#3#
+ (LETT #2#
+ (SPADCALL #2# #1#
+ (QREFELT $ 86))
+ |FFIELDC-;factorSquareFreePolynomial|))
+ ('T
+ (PROGN
+ (LETT #2# #1#
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (LETT #3# 'T
+ |FFIELDC-;factorSquareFreePolynomial|)))))))
+ (LETT #0# (CDR #0#)
+ |FFIELDC-;factorSquareFreePolynomial|)
+ (GO G190) G191 (EXIT NIL))
+ (COND
+ (#3# #2#)
+ ('T (|spadConstant| $ 87))))
+ (QREFELT $ 88))))))))))
-(DEFUN |FFIELDC-;gcdPolynomial;3Sup;16| (|f| |g| |$|) (SPADCALL |f| |g| (QREFELT |$| 90)))
+(DEFUN |FFIELDC-;gcdPolynomial;3Sup;16| (|f| |g| $)
+ (SPADCALL |f| |g| (QREFELT $ 90)))
-(DEFUN |FiniteFieldCategory&| (|#1|) (PROG (|DV$1| |dv$| |$| |pv$|) (RETURN (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|FiniteFieldCategory&|)) (LETT |dv$| (LIST (QUOTE |FiniteFieldCategory&|) |DV$1|) . #1#) (LETT |$| (GETREFV 93) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) |$|))))
+(DEFUN |FiniteFieldCategory&| (|#1|)
+ (PROG (|dv$1| |dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$1| (|devaluate| |#1|) . #0=(|FiniteFieldCategory&|))
+ (LETT |dv$| (LIST '|FiniteFieldCategory&| |dv$1|) . #0#)
+ (LETT $ (GETREFV 93) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3 (LETT |pv$| (|buildPredVector| 0 0 NIL) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ $))))
-(MAKEPROP (QUOTE |FiniteFieldCategory&|) (QUOTE |infovec|) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (0 . |Zero|) |FFIELDC-;differentiate;2S;1| |FFIELDC-;init;S;2| (|PositiveInteger|) (4 . |lookup|) (9 . |index|) (|Boolean|) (14 . |zero?|) (|Union| |$| (QUOTE "failed")) |FFIELDC-;nextItem;SU;3| (19 . |order|) (|Integer|) (|OnePointCompletion| 10) (24 . |coerce|) |FFIELDC-;order;SOpc;4| (|List| 26) (|Matrix| 6) (29 . |nullSpace|) (|Mapping| 13 6) (|Vector| 6) (34 . |every?|) (40 . |charthRoot|) (|Mapping| 6 6) (45 . |map|) (|Union| (|Vector| |$|) (QUOTE "failed")) (|Matrix| |$|) |FFIELDC-;conditionP;MU;5| (|NonNegativeInteger|) (51 . |size|) (55 . |characteristic|) (59 . |**|) |FFIELDC-;charthRoot;2S;6| |FFIELDC-;charthRoot;SU;7| (65 . |One|) (|Union| (QUOTE "prime") (QUOTE "polynomial") (QUOTE "normal") (QUOTE "cyclic")) (69 . |representationType|) (73 . |=|) |FFIELDC-;createPrimitiveElement;S;8| (|Record| (|:| |factor| 18) (|:| |exponent| 18)) (|List| 45) (79 . |factorsOfCyclicGroupSize|) (83 . |**|) (89 . |one?|) |FFIELDC-;primitive?;SB;9| (94 . |=|) |FFIELDC-;order;SPi;10| (100 . |primitiveElement|) (|Table| 10 34) (104 . |tableForDiscreteLogarithm|) (109 . |#|) (|Union| 34 (QUOTE "failed")) (114 . |search|) (120 . |*|) |FFIELDC-;discreteLog;SNni;11| (|Void|) (|String|) (|OutputForm|) (126 . |messagePrint|) (|Factored| |$|) (131 . |factor|) (|Factored| 18) (136 . |factors|) (|DiscreteLogarithmPackage| 6) (141 . |shanksDiscLogAlgorithm|) |FFIELDC-;discreteLog;2SU;12| (|Factored| 73) (|SparseUnivariatePolynomial| 6) (|UnivariatePolynomialSquareFree| 6 73) (148 . |squareFree|) (|DistinctDegreeFactorize| 6 73) (153 . |factor|) (158 . |Zero|) (162 . |=|) (168 . |Zero|) (|Record| (|:| |irr| 73) (|:| |pow| 18)) (|Record| (|:| |cont| 6) (|:| |factors| (|List| 81))) (172 . |distdfact|) (178 . |coerce|) (183 . |primeFactor|) (189 . |*|) (195 . |One|) (199 . |*|) (|EuclideanDomain&| 73) (205 . |gcd|) (|SparseUnivariatePolynomial| |$|) |FFIELDC-;gcdPolynomial;3Sup;16|)) (QUOTE #(|primitive?| 211 |order| 216 |nextItem| 226 |init| 231 |gcdPolynomial| 235 |discreteLog| 241 |differentiate| 252 |createPrimitiveElement| 257 |conditionP| 261 |charthRoot| 266)) (QUOTE NIL) (CONS (|makeByteWordVec2| 1 (QUOTE NIL)) (CONS (QUOTE #()) (CONS (QUOTE #()) (|makeByteWordVec2| 92 (QUOTE (0 6 0 7 1 6 10 0 11 1 6 0 10 12 1 6 13 0 14 1 6 10 0 17 1 19 0 18 20 1 23 22 0 24 2 26 13 25 0 27 1 6 0 0 28 2 26 0 29 0 30 0 6 34 35 0 6 34 36 2 6 0 0 34 37 0 6 0 40 0 6 41 42 2 41 13 0 0 43 0 6 46 47 2 6 0 0 18 48 1 6 13 0 49 2 6 13 0 0 51 0 6 0 53 1 6 54 18 55 1 54 34 0 56 2 54 57 10 0 58 2 6 0 0 0 59 1 63 61 62 64 1 18 65 0 66 1 67 46 0 68 3 69 57 6 6 34 70 1 74 72 73 75 1 76 72 73 77 0 73 0 78 2 73 13 0 0 79 0 72 0 80 2 76 82 73 13 83 1 73 0 6 84 2 72 0 73 18 85 2 72 0 0 0 86 0 72 0 87 2 72 0 73 0 88 2 89 0 0 0 90 1 0 13 0 50 1 0 10 0 52 1 0 19 0 21 1 0 15 0 16 0 0 0 9 2 0 91 91 91 92 1 0 34 0 60 2 0 57 0 0 71 1 0 0 0 8 0 0 0 44 1 0 31 32 33 1 0 0 0 38 1 0 15 0 39)))))) (QUOTE |lookupComplete|)))
+(MAKEPROP '|FiniteFieldCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (0 . |Zero|)
+ |FFIELDC-;differentiate;2S;1| |FFIELDC-;init;S;2|
+ (|PositiveInteger|) (4 . |lookup|) (9 . |index|)
+ (|Boolean|) (14 . |zero?|) (|Union| $ '"failed")
+ |FFIELDC-;nextItem;SU;3| (19 . |order|) (|Integer|)
+ (|OnePointCompletion| 10) (24 . |coerce|)
+ |FFIELDC-;order;SOpc;4| (|List| 26) (|Matrix| 6)
+ (29 . |nullSpace|) (|Mapping| 13 6) (|Vector| 6)
+ (34 . |every?|) (40 . |charthRoot|) (|Mapping| 6 6)
+ (45 . |map|) (|Union| (|Vector| $) '"failed") (|Matrix| $)
+ |FFIELDC-;conditionP;MU;5| (|NonNegativeInteger|)
+ (51 . |size|) (55 . |characteristic|) (59 . **)
+ |FFIELDC-;charthRoot;2S;6| |FFIELDC-;charthRoot;SU;7|
+ (65 . |One|)
+ (|Union| '"prime" '"polynomial" '"normal" '"cyclic")
+ (69 . |representationType|) (73 . =) (79 . |not|)
+ |FFIELDC-;createPrimitiveElement;S;8|
+ (|Record| (|:| |factor| 18) (|:| |exponent| 18))
+ (|List| 46) (84 . |factorsOfCyclicGroupSize|) (88 . **)
+ (94 . =) |FFIELDC-;primitive?;SB;9|
+ |FFIELDC-;order;SPi;10| (100 . |primitiveElement|)
+ (|Table| 10 34) (104 . |tableForDiscreteLogarithm|)
+ (109 . |#|) (|Union| 34 '"failed") (114 . |search|)
+ (120 . *) |FFIELDC-;discreteLog;SNni;11| (|Void|)
+ (|String|) (|OutputForm|) (126 . |messagePrint|)
+ (|Factored| $) (131 . |factor|) (|Factored| 18)
+ (136 . |factors|) (|DiscreteLogarithmPackage| 6)
+ (141 . |shanksDiscLogAlgorithm|)
+ |FFIELDC-;discreteLog;2SU;12| (|Factored| 73)
+ (|SparseUnivariatePolynomial| 6)
+ (|UnivariatePolynomialSquareFree| 6 73)
+ (148 . |squareFree|) (|DistinctDegreeFactorize| 6 73)
+ (153 . |factor|) (158 . |Zero|) (162 . =) (168 . |Zero|)
+ (|Record| (|:| |irr| 73) (|:| |pow| 18))
+ (|Record| (|:| |cont| 6) (|:| |factors| (|List| 81)))
+ (172 . |distdfact|) (178 . |coerce|) (183 . |primeFactor|)
+ (189 . *) (195 . |One|) (199 . *) (|EuclideanDomain&| 73)
+ (205 . |gcd|) (|SparseUnivariatePolynomial| $)
+ |FFIELDC-;gcdPolynomial;3Sup;16|)
+ '#(|primitive?| 211 |order| 216 |nextItem| 226 |init| 231
+ |gcdPolynomial| 235 |discreteLog| 241 |differentiate| 252
+ |createPrimitiveElement| 257 |conditionP| 261 |charthRoot|
+ 266)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 92
+ '(0 6 0 7 1 6 10 0 11 1 6 0 10 12 1 6
+ 13 0 14 1 6 10 0 17 1 19 0 18 20 1 23
+ 22 0 24 2 26 13 25 0 27 1 6 0 0 28 2
+ 26 0 29 0 30 0 6 34 35 0 6 34 36 2 6
+ 0 0 34 37 0 6 0 40 0 6 41 42 2 41 13
+ 0 0 43 1 13 0 0 44 0 6 47 48 2 6 0 0
+ 18 49 2 6 13 0 0 50 0 6 0 53 1 6 54
+ 18 55 1 54 34 0 56 2 54 57 10 0 58 2
+ 6 0 0 0 59 1 63 61 62 64 1 18 65 0 66
+ 1 67 47 0 68 3 69 57 6 6 34 70 1 74
+ 72 73 75 1 76 72 73 77 0 73 0 78 2 73
+ 13 0 0 79 0 72 0 80 2 76 82 73 13 83
+ 1 73 0 6 84 2 72 0 73 18 85 2 72 0 0
+ 0 86 0 72 0 87 2 72 0 73 0 88 2 89 0
+ 0 0 90 1 0 13 0 51 1 0 10 0 52 1 0 19
+ 0 21 1 0 15 0 16 0 0 0 9 2 0 91 91 91
+ 92 1 0 34 0 60 2 0 57 0 0 71 1 0 0 0
+ 8 0 0 0 45 1 0 31 32 33 1 0 0 0 38 1
+ 0 15 0 39)))))
+ '|lookupComplete|))
@
\section{package FFSLPE FiniteFieldSolveLinearPolynomialEquation}
<<package FFSLPE FiniteFieldSolveLinearPolynomialEquation>>=
diff --git a/src/algebra/fraction.spad.pamphlet b/src/algebra/fraction.spad.pamphlet
index 51cbb0d4..9fc563a2 100644
--- a/src/algebra/fraction.spad.pamphlet
+++ b/src/algebra/fraction.spad.pamphlet
@@ -273,15 +273,110 @@ Note that this code is not included in the generated catdef.spad file.
<<QFCAT.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(SETQ |QuotientFieldCategory;CAT| (QUOTE NIL))
-
-(SETQ |QuotientFieldCategory;AL| (QUOTE NIL))
-
-(DEFUN |QuotientFieldCategory| (#1=#:G103631) (LET (#2=#:G103632) (COND ((SETQ #2# (|assoc| (|devaluate| #1#) |QuotientFieldCategory;AL|)) (CDR #2#)) (T (SETQ |QuotientFieldCategory;AL| (|cons5| (CONS (|devaluate| #1#) (SETQ #2# (|QuotientFieldCategory;| #1#))) |QuotientFieldCategory;AL|)) #2#))))
-
-(DEFUN |QuotientFieldCategory;| (|t#1|) (PROG (#1=#:G103630) (RETURN (PROG1 (LETT #1# (|sublisV| (PAIR (QUOTE (|t#1|)) (LIST (|devaluate| |t#1|))) (COND (|QuotientFieldCategory;CAT|) ((QUOTE T) (LETT |QuotientFieldCategory;CAT| (|Join| (|Field|) (|Algebra| (QUOTE |t#1|)) (|RetractableTo| (QUOTE |t#1|)) (|FullyEvalableOver| (QUOTE |t#1|)) (|DifferentialExtension| (QUOTE |t#1|)) (|FullyLinearlyExplicitRingOver| (QUOTE |t#1|)) (|Patternable| (QUOTE |t#1|)) (|FullyPatternMatchable| (QUOTE |t#1|)) (|mkCategory| (QUOTE |domain|) (QUOTE (((|/| (|$| |t#1| |t#1|)) T) ((|numer| (|t#1| |$|)) T) ((|denom| (|t#1| |$|)) T) ((|numerator| (|$| |$|)) T) ((|denominator| (|$| |$|)) T) ((|wholePart| (|t#1| |$|)) (|has| |t#1| (|EuclideanDomain|))) ((|fractionPart| (|$| |$|)) (|has| |t#1| (|EuclideanDomain|))) ((|random| (|$|)) (|has| |t#1| (|IntegerNumberSystem|))) ((|ceiling| (|t#1| |$|)) (|has| |t#1| (|IntegerNumberSystem|))) ((|floor| (|t#1| |$|)) (|has| |t#1| (|IntegerNumberSystem|))))) (QUOTE (((|StepThrough|) (|has| |t#1| (|StepThrough|))) ((|RetractableTo| (|Integer|)) (|has| |t#1| (|RetractableTo| (|Integer|)))) ((|RetractableTo| (|Fraction| (|Integer|))) (|has| |t#1| (|RetractableTo| (|Integer|)))) ((|OrderedSet|) (|has| |t#1| (|OrderedSet|))) ((|OrderedIntegralDomain|) (|has| |t#1| (|OrderedIntegralDomain|))) ((|RealConstant|) (|has| |t#1| (|RealConstant|))) ((|ConvertibleTo| (|InputForm|)) (|has| |t#1| (|ConvertibleTo| (|InputForm|)))) ((|CharacteristicZero|) (|has| |t#1| (|CharacteristicZero|))) ((|CharacteristicNonZero|) (|has| |t#1| (|CharacteristicNonZero|))) ((|RetractableTo| (|Symbol|)) (|has| |t#1| (|RetractableTo| (|Symbol|)))) ((|PolynomialFactorizationExplicit|) (|has| |t#1| (|PolynomialFactorizationExplicit|))))) (QUOTE NIL) NIL)) . #2=(|QuotientFieldCategory|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |QuotientFieldCategory|) (|devaluate| |t#1|)))))))
+(/VERSIONCHECK 2)
+
+(DEFPARAMETER |QuotientFieldCategory;CAT| 'NIL)
+
+(DEFPARAMETER |QuotientFieldCategory;AL| 'NIL)
+
+(DEFUN |QuotientFieldCategory| (#0=#:G1388)
+ (LET (#1=#:G1389)
+ (COND
+ ((SETQ #1#
+ (|assoc| (|devaluate| #0#) |QuotientFieldCategory;AL|))
+ (CDR #1#))
+ (T (SETQ |QuotientFieldCategory;AL|
+ (|cons5| (CONS (|devaluate| #0#)
+ (SETQ #1# (|QuotientFieldCategory;| #0#)))
+ |QuotientFieldCategory;AL|))
+ #1#))))
+
+(DEFUN |QuotientFieldCategory;| (|t#1|)
+ (PROG (#0=#:G1387)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|sublisV|
+ (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
+ (COND
+ (|QuotientFieldCategory;CAT|)
+ ('T
+ (LETT |QuotientFieldCategory;CAT|
+ (|Join| (|Field|) (|Algebra| '|t#1|)
+ (|RetractableTo| '|t#1|)
+ (|FullyEvalableOver| '|t#1|)
+ (|DifferentialExtension|
+ '|t#1|)
+ (|FullyLinearlyExplicitRingOver|
+ '|t#1|)
+ (|Patternable| '|t#1|)
+ (|FullyPatternMatchable|
+ '|t#1|)
+ (|mkCategory| '|domain|
+ '(((/ ($ |t#1| |t#1|)) T)
+ ((|numer| (|t#1| $)) T)
+ ((|denom| (|t#1| $)) T)
+ ((|numerator| ($ $)) T)
+ ((|denominator| ($ $)) T)
+ ((|wholePart| (|t#1| $))
+ (|has| |t#1|
+ (|EuclideanDomain|)))
+ ((|fractionPart| ($ $))
+ (|has| |t#1|
+ (|EuclideanDomain|)))
+ ((|random| ($))
+ (|has| |t#1|
+ (|IntegerNumberSystem|)))
+ ((|ceiling| (|t#1| $))
+ (|has| |t#1|
+ (|IntegerNumberSystem|)))
+ ((|floor| (|t#1| $))
+ (|has| |t#1|
+ (|IntegerNumberSystem|))))
+ '(((|StepThrough|)
+ (|has| |t#1|
+ (|StepThrough|)))
+ ((|RetractableTo|
+ (|Integer|))
+ (|has| |t#1|
+ (|RetractableTo|
+ (|Integer|))))
+ ((|RetractableTo|
+ (|Fraction| (|Integer|)))
+ (|has| |t#1|
+ (|RetractableTo|
+ (|Integer|))))
+ ((|OrderedSet|)
+ (|has| |t#1|
+ (|OrderedSet|)))
+ ((|OrderedIntegralDomain|)
+ (|has| |t#1|
+ (|OrderedIntegralDomain|)))
+ ((|RealConstant|)
+ (|has| |t#1|
+ (|RealConstant|)))
+ ((|ConvertibleTo|
+ (|InputForm|))
+ (|has| |t#1|
+ (|ConvertibleTo|
+ (|InputForm|))))
+ ((|CharacteristicZero|)
+ (|has| |t#1|
+ (|CharacteristicZero|)))
+ ((|CharacteristicNonZero|)
+ (|has| |t#1|
+ (|CharacteristicNonZero|)))
+ ((|RetractableTo|
+ (|Symbol|))
+ (|has| |t#1|
+ (|RetractableTo|
+ (|Symbol|))))
+ ((|PolynomialFactorizationExplicit|)
+ (|has| |t#1|
+ (|PolynomialFactorizationExplicit|))))
+ 'NIL NIL))
+ . #1=(|QuotientFieldCategory|))))) . #1#)
+ (SETELT #0# 0
+ (LIST '|QuotientFieldCategory| (|devaluate| |t#1|)))))))
@
\section{QFCAT-.lsp BOOTSTRAP}
{\bf QFCAT-} depends on {\bf QFCAT}. We need to break this cycle to build
@@ -294,65 +389,410 @@ Note that this code is not included in the generated catdef.spad file.
<<QFCAT-.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(DEFUN |QFCAT-;numerator;2A;1| (|x| |$|) (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 9)))
-
-(DEFUN |QFCAT-;denominator;2A;2| (|x| |$|) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 9)))
-
-(DEFUN |QFCAT-;init;A;3| (|$|) (SPADCALL (|spadConstant| |$| 13) (|spadConstant| |$| 14) (QREFELT |$| 15)))
-
-(DEFUN |QFCAT-;nextItem;AU;4| (|n| |$|) (PROG (|m|) (RETURN (SEQ (LETT |m| (SPADCALL (SPADCALL |n| (QREFELT |$| 8)) (QREFELT |$| 18)) |QFCAT-;nextItem;AU;4|) (EXIT (COND ((QEQCAR |m| 1) (|error| "We seem to have a Fraction of a finite object")) ((QUOTE T) (CONS 0 (SPADCALL (QCDR |m|) (|spadConstant| |$| 14) (QREFELT |$| 15))))))))))
-
-(DEFUN |QFCAT-;map;M2A;5| (|fn| |x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) |fn|) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) |fn|) (QREFELT |$| 15)))
-
-(DEFUN |QFCAT-;reducedSystem;MM;6| (|m| |$|) (SPADCALL |m| (QREFELT |$| 26)))
-
-(DEFUN |QFCAT-;characteristic;Nni;7| (|$|) (SPADCALL (QREFELT |$| 30)))
-
-(DEFUN |QFCAT-;differentiate;AMA;8| (|x| |deriv| |$|) (PROG (|n| |d|) (RETURN (SEQ (LETT |n| (SPADCALL |x| (QREFELT |$| 8)) |QFCAT-;differentiate;AMA;8|) (LETT |d| (SPADCALL |x| (QREFELT |$| 11)) |QFCAT-;differentiate;AMA;8|) (EXIT (SPADCALL (SPADCALL (SPADCALL (SPADCALL |n| |deriv|) |d| (QREFELT |$| 32)) (SPADCALL |n| (SPADCALL |d| |deriv|) (QREFELT |$| 32)) (QREFELT |$| 33)) (SPADCALL |d| 2 (QREFELT |$| 35)) (QREFELT |$| 15)))))))
-
-(DEFUN |QFCAT-;convert;AIf;9| (|x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 38)) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 38)) (QREFELT |$| 39)))
-
-(DEFUN |QFCAT-;convert;AF;10| (|x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 42)) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 42)) (QREFELT |$| 43)))
-
-(DEFUN |QFCAT-;convert;ADf;11| (|x| |$|) (|/| (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 46)) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 46))))
-
-(DEFUN |QFCAT-;<;2AB;12| (|x| |y| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (SPADCALL |y| (QREFELT |$| 11)) (QREFELT |$| 32)) (SPADCALL (SPADCALL |y| (QREFELT |$| 8)) (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 32)) (QREFELT |$| 49)))
-
-(DEFUN |QFCAT-;<;2AB;13| (|x| |y| |$|) (PROG (|#G19| |#G20| |#G21| |#G22|) (RETURN (SEQ (COND ((SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (|spadConstant| |$| 51) (QREFELT |$| 49)) (PROGN (LETT |#G19| |y| |QFCAT-;<;2AB;13|) (LETT |#G20| |x| |QFCAT-;<;2AB;13|) (LETT |x| |#G19| |QFCAT-;<;2AB;13|) (LETT |y| |#G20| |QFCAT-;<;2AB;13|)))) (COND ((SPADCALL (SPADCALL |y| (QREFELT |$| 11)) (|spadConstant| |$| 51) (QREFELT |$| 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| (QREFELT |$| 8)) (SPADCALL |y| (QREFELT |$| 11)) (QREFELT |$| 32)) (SPADCALL (SPADCALL |y| (QREFELT |$| 8)) (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 32)) (QREFELT |$| 49)))))))
-
-(DEFUN |QFCAT-;<;2AB;14| (|x| |y| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (SPADCALL |y| (QREFELT |$| 11)) (QREFELT |$| 32)) (SPADCALL (SPADCALL |y| (QREFELT |$| 8)) (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 32)) (QREFELT |$| 49)))
-
-(DEFUN |QFCAT-;fractionPart;2A;15| (|x| |$|) (SPADCALL |x| (SPADCALL (SPADCALL |x| (QREFELT |$| 52)) (QREFELT |$| 9)) (QREFELT |$| 53)))
-
-(DEFUN |QFCAT-;coerce;SA;16| (|s| |$|) (SPADCALL (SPADCALL |s| (QREFELT |$| 56)) (QREFELT |$| 9)))
-
-(DEFUN |QFCAT-;retract;AS;17| (|x| |$|) (SPADCALL (SPADCALL |x| (QREFELT |$| 58)) (QREFELT |$| 59)))
-
-(DEFUN |QFCAT-;retractIfCan;AU;18| (|x| |$|) (PROG (|r|) (RETURN (SEQ (LETT |r| (SPADCALL |x| (QREFELT |$| 62)) |QFCAT-;retractIfCan;AU;18|) (EXIT (COND ((QEQCAR |r| 1) (CONS 1 "failed")) ((QUOTE T) (SPADCALL (QCDR |r|) (QREFELT |$| 64)))))))))
-
-(DEFUN |QFCAT-;convert;AP;19| (|x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 67)) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 67)) (QREFELT |$| 68)))
-
-(DEFUN |QFCAT-;patternMatch;AP2Pmr;20| (|x| |p| |l| |$|) (SPADCALL |x| |p| |l| (QREFELT |$| 72)))
-
-(DEFUN |QFCAT-;convert;AP;21| (|x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 8)) (QREFELT |$| 76)) (SPADCALL (SPADCALL |x| (QREFELT |$| 11)) (QREFELT |$| 76)) (QREFELT |$| 77)))
-
-(DEFUN |QFCAT-;patternMatch;AP2Pmr;22| (|x| |p| |l| |$|) (SPADCALL |x| |p| |l| (QREFELT |$| 81)))
-
-(DEFUN |QFCAT-;coerce;FA;23| (|x| |$|) (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT |$| 86)) (QREFELT |$| 87)) (SPADCALL (SPADCALL |x| (QREFELT |$| 88)) (QREFELT |$| 87)) (QREFELT |$| 89)))
-
-(DEFUN |QFCAT-;retract;AI;24| (|x| |$|) (SPADCALL (SPADCALL |x| (QREFELT |$| 58)) (QREFELT |$| 91)))
-
-(DEFUN |QFCAT-;retractIfCan;AU;25| (|x| |$|) (PROG (|u|) (RETURN (SEQ (LETT |u| (SPADCALL |x| (QREFELT |$| 62)) |QFCAT-;retractIfCan;AU;25|) (EXIT (COND ((QEQCAR |u| 1) (CONS 1 "failed")) ((QUOTE T) (SPADCALL (QCDR |u|) (QREFELT |$| 94)))))))))
-
-(DEFUN |QFCAT-;random;A;26| (|$|) (PROG (|d|) (RETURN (SEQ (SEQ G190 (COND ((NULL (SPADCALL (LETT |d| (SPADCALL (QREFELT |$| 96)) |QFCAT-;random;A;26|) (QREFELT |$| 97))) (GO G191))) (SEQ (EXIT |d|)) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL (SPADCALL (QREFELT |$| 96)) |d| (QREFELT |$| 15)))))))
-
-(DEFUN |QFCAT-;reducedSystem;MVR;27| (|m| |v| |$|) (PROG (|n|) (RETURN (SEQ (LETT |n| (SPADCALL (SPADCALL (SPADCALL |v| (QREFELT |$| 100)) |m| (QREFELT |$| 101)) (QREFELT |$| 102)) |QFCAT-;reducedSystem;MVR;27|) (EXIT (CONS (SPADCALL |n| (SPADCALL |n| (QREFELT |$| 103)) (SPADCALL |n| (QREFELT |$| 104)) (|+| 1 (SPADCALL |n| (QREFELT |$| 105))) (SPADCALL |n| (QREFELT |$| 106)) (QREFELT |$| 107)) (SPADCALL |n| (SPADCALL |n| (QREFELT |$| 105)) (QREFELT |$| 109))))))))
-
-(DEFUN |QuotientFieldCategory&| (|#1| |#2|) (PROG (|DV$1| |DV$2| |dv$| |$| |pv$|) (RETURN (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|QuotientFieldCategory&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |dv$| (LIST (QUOTE |QuotientFieldCategory&|) |DV$1| |DV$2|) . #1#) (LETT |$| (GETREFV 119) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 (LIST (|HasCategory| |#2| (QUOTE (|PolynomialFactorizationExplicit|))) (|HasCategory| |#2| (QUOTE (|IntegerNumberSystem|))) (|HasCategory| |#2| (QUOTE (|EuclideanDomain|))) (|HasCategory| |#2| (QUOTE (|RetractableTo| (|Symbol|)))) (|HasCategory| |#2| (QUOTE (|CharacteristicNonZero|))) (|HasCategory| |#2| (QUOTE (|CharacteristicZero|))) (|HasCategory| |#2| (QUOTE (|ConvertibleTo| (|InputForm|)))) (|HasCategory| |#2| (QUOTE (|RealConstant|))) (|HasCategory| |#2| (QUOTE (|OrderedIntegralDomain|))) (|HasCategory| |#2| (QUOTE (|OrderedSet|))) (|HasCategory| |#2| (QUOTE (|RetractableTo| (|Integer|)))) (|HasCategory| |#2| (QUOTE (|StepThrough|))))) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) (QSETREFV |$| 7 |#2|) (COND ((|testBitVector| |pv$| 12) (PROGN (QSETREFV |$| 16 (CONS (|dispatchFunction| |QFCAT-;init;A;3|) |$|)) (QSETREFV |$| 20 (CONS (|dispatchFunction| |QFCAT-;nextItem;AU;4|) |$|))))) (COND ((|testBitVector| |pv$| 7) (QSETREFV |$| 40 (CONS (|dispatchFunction| |QFCAT-;convert;AIf;9|) |$|)))) (COND ((|testBitVector| |pv$| 8) (PROGN (QSETREFV |$| 44 (CONS (|dispatchFunction| |QFCAT-;convert;AF;10|) |$|)) (QSETREFV |$| 47 (CONS (|dispatchFunction| |QFCAT-;convert;ADf;11|) |$|))))) (COND ((|testBitVector| |pv$| 9) (COND ((|HasAttribute| |#2| (QUOTE |canonicalUnitNormal|)) (QSETREFV |$| 50 (CONS (|dispatchFunction| |QFCAT-;<;2AB;12|) |$|))) ((QUOTE T) (QSETREFV |$| 50 (CONS (|dispatchFunction| |QFCAT-;<;2AB;13|) |$|))))) ((|testBitVector| |pv$| 10) (QSETREFV |$| 50 (CONS (|dispatchFunction| |QFCAT-;<;2AB;14|) |$|)))) (COND ((|testBitVector| |pv$| 3) (QSETREFV |$| 54 (CONS (|dispatchFunction| |QFCAT-;fractionPart;2A;15|) |$|)))) (COND ((|testBitVector| |pv$| 4) (PROGN (QSETREFV |$| 57 (CONS (|dispatchFunction| |QFCAT-;coerce;SA;16|) |$|)) (QSETREFV |$| 60 (CONS (|dispatchFunction| |QFCAT-;retract;AS;17|) |$|)) (QSETREFV |$| 65 (CONS (|dispatchFunction| |QFCAT-;retractIfCan;AU;18|) |$|))))) (COND ((|HasCategory| |#2| (QUOTE (|ConvertibleTo| (|Pattern| (|Integer|))))) (PROGN (QSETREFV |$| 69 (CONS (|dispatchFunction| |QFCAT-;convert;AP;19|) |$|)) (COND ((|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Integer|)))) (QSETREFV |$| 74 (CONS (|dispatchFunction| |QFCAT-;patternMatch;AP2Pmr;20|) |$|))))))) (COND ((|HasCategory| |#2| (QUOTE (|ConvertibleTo| (|Pattern| (|Float|))))) (PROGN (QSETREFV |$| 78 (CONS (|dispatchFunction| |QFCAT-;convert;AP;21|) |$|)) (COND ((|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Float|)))) (QSETREFV |$| 83 (CONS (|dispatchFunction| |QFCAT-;patternMatch;AP2Pmr;22|) |$|))))))) (COND ((|testBitVector| |pv$| 11) (PROGN (QSETREFV |$| 90 (CONS (|dispatchFunction| |QFCAT-;coerce;FA;23|) |$|)) (COND ((|domainEqual| |#2| (|Integer|))) ((QUOTE T) (PROGN (QSETREFV |$| 92 (CONS (|dispatchFunction| |QFCAT-;retract;AI;24|) |$|)) (QSETREFV |$| 95 (CONS (|dispatchFunction| |QFCAT-;retractIfCan;AU;25|) |$|)))))))) (COND ((|testBitVector| |pv$| 2) (QSETREFV |$| 98 (CONS (|dispatchFunction| |QFCAT-;random;A;26|) |$|)))) |$|))))
-
-(MAKEPROP (QUOTE |QuotientFieldCategory&|) (QUOTE |infovec|) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (0 . |numer|) (5 . |coerce|) |QFCAT-;numerator;2A;1| (10 . |denom|) |QFCAT-;denominator;2A;2| (15 . |init|) (19 . |One|) (23 . |/|) (29 . |init|) (|Union| |$| (QUOTE "failed")) (33 . |nextItem|) (38 . |One|) (42 . |nextItem|) (|Mapping| 7 7) |QFCAT-;map;M2A;5| (|Matrix| 7) (|Matrix| 6) (|MatrixCommonDenominator| 7 6) (47 . |clearDenominator|) (|Matrix| |$|) |QFCAT-;reducedSystem;MM;6| (|NonNegativeInteger|) (52 . |characteristic|) |QFCAT-;characteristic;Nni;7| (56 . |*|) (62 . |-|) (|PositiveInteger|) (68 . |**|) |QFCAT-;differentiate;AMA;8| (|InputForm|) (74 . |convert|) (79 . |/|) (85 . |convert|) (|Float|) (90 . |convert|) (95 . |/|) (101 . |convert|) (|DoubleFloat|) (106 . |convert|) (111 . |convert|) (|Boolean|) (116 . |<|) (122 . |<|) (128 . |Zero|) (132 . |wholePart|) (137 . |-|) (143 . |fractionPart|) (|Symbol|) (148 . |coerce|) (153 . |coerce|) (158 . |retract|) (163 . |retract|) (168 . |retract|) (|Union| 7 (QUOTE "failed")) (173 . |retractIfCan|) (|Union| 55 (QUOTE "failed")) (178 . |retractIfCan|) (183 . |retractIfCan|) (|Pattern| 84) (188 . |convert|) (193 . |/|) (199 . |convert|) (|PatternMatchResult| 84 6) (|PatternMatchQuotientFieldCategory| 84 7 6) (204 . |patternMatch|) (|PatternMatchResult| 84 |$|) (211 . |patternMatch|) (|Pattern| 41) (218 . |convert|) (223 . |/|) (229 . |convert|) (|PatternMatchResult| 41 6) (|PatternMatchQuotientFieldCategory| 41 7 6) (234 . |patternMatch|) (|PatternMatchResult| 41 |$|) (241 . |patternMatch|) (|Integer|) (|Fraction| 84) (248 . |numer|) (253 . |coerce|) (258 . |denom|) (263 . |/|) (269 . |coerce|) (274 . |retract|) (279 . |retract|) (|Union| 84 (QUOTE "failed")) (284 . |retractIfCan|) (289 . |retractIfCan|) (294 . |random|) (298 . |zero?|) (303 . |random|) (|Vector| 6) (307 . |coerce|) (312 . |horizConcat|) (318 . |reducedSystem|) (323 . |minRowIndex|) (328 . |maxRowIndex|) (333 . |minColIndex|) (338 . |maxColIndex|) (343 . |subMatrix|) (|Vector| 7) (352 . |column|) (|Record| (|:| |mat| 23) (|:| |vec| 108)) (|Vector| |$|) |QFCAT-;reducedSystem;MVR;27| (|Union| 85 (QUOTE "failed")) (|Record| (|:| |mat| 115) (|:| |vec| (|Vector| 84))) (|Matrix| 84) (|List| 55) (|List| 29) (|OutputForm|))) (QUOTE #(|retractIfCan| 358 |retract| 368 |reducedSystem| 378 |random| 389 |patternMatch| 393 |numerator| 407 |nextItem| 412 |map| 417 |init| 423 |fractionPart| 427 |differentiate| 432 |denominator| 438 |convert| 443 |coerce| 468 |characteristic| 478 |<| 482)) (QUOTE NIL) (CONS (|makeByteWordVec2| 1 (QUOTE NIL)) (CONS (QUOTE #()) (CONS (QUOTE #()) (|makeByteWordVec2| 112 (QUOTE (1 6 7 0 8 1 6 0 7 9 1 6 7 0 11 0 7 0 13 0 7 0 14 2 6 0 7 7 15 0 0 0 16 1 7 17 0 18 0 6 0 19 1 0 17 0 20 1 25 23 24 26 0 7 29 30 2 7 0 0 0 32 2 7 0 0 0 33 2 7 0 0 34 35 1 7 37 0 38 2 37 0 0 0 39 1 0 37 0 40 1 7 41 0 42 2 41 0 0 0 43 1 0 41 0 44 1 7 45 0 46 1 0 45 0 47 2 7 48 0 0 49 2 0 48 0 0 50 0 7 0 51 1 6 7 0 52 2 6 0 0 0 53 1 0 0 0 54 1 7 0 55 56 1 0 0 55 57 1 6 7 0 58 1 7 55 0 59 1 0 55 0 60 1 6 61 0 62 1 7 63 0 64 1 0 63 0 65 1 7 66 0 67 2 66 0 0 0 68 1 0 66 0 69 3 71 70 6 66 70 72 3 0 73 0 66 73 74 1 7 75 0 76 2 75 0 0 0 77 1 0 75 0 78 3 80 79 6 75 79 81 3 0 82 0 75 82 83 1 85 84 0 86 1 6 0 84 87 1 85 84 0 88 2 6 0 0 0 89 1 0 0 85 90 1 7 84 0 91 1 0 84 0 92 1 7 93 0 94 1 0 93 0 95 0 7 0 96 1 7 48 0 97 0 0 0 98 1 24 0 99 100 2 24 0 0 0 101 1 6 23 27 102 1 23 84 0 103 1 23 84 0 104 1 23 84 0 105 1 23 84 0 106 5 23 0 0 84 84 84 84 107 2 23 108 0 84 109 1 0 93 0 95 1 0 63 0 65 1 0 84 0 92 1 0 55 0 60 2 0 110 27 111 112 1 0 23 27 28 0 0 0 98 3 0 82 0 75 82 83 3 0 73 0 66 73 74 1 0 0 0 10 1 0 17 0 20 2 0 0 21 0 22 0 0 0 16 1 0 0 0 54 2 0 0 0 21 36 1 0 0 0 12 1 0 45 0 47 1 0 37 0 40 1 0 41 0 44 1 0 66 0 69 1 0 75 0 78 1 0 0 55 57 1 0 0 85 90 0 0 29 31 2 0 48 0 0 50)))))) (QUOTE |lookupComplete|)))
+(/VERSIONCHECK 2)
+
+(DEFUN |QFCAT-;numerator;2A;1| (|x| $)
+ (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 9)))
+
+(DEFUN |QFCAT-;denominator;2A;2| (|x| $)
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 9)))
+
+(DEFUN |QFCAT-;init;A;3| ($)
+ (SPADCALL (|spadConstant| $ 13) (|spadConstant| $ 14) (QREFELT $ 15)))
+
+(DEFUN |QFCAT-;nextItem;AU;4| (|n| $)
+ (PROG (|m|)
+ (RETURN
+ (SEQ (LETT |m|
+ (SPADCALL (SPADCALL |n| (QREFELT $ 8)) (QREFELT $ 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)
+ (QREFELT $ 15))))))))))
+
+(DEFUN |QFCAT-;map;M2A;5| (|fn| |x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 8)) |fn|)
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) |fn|) (QREFELT $ 15)))
+
+(DEFUN |QFCAT-;reducedSystem;MM;6| (|m| $)
+ (SPADCALL |m| (QREFELT $ 26)))
+
+(DEFUN |QFCAT-;characteristic;Nni;7| ($) (SPADCALL (QREFELT $ 30)))
+
+(DEFUN |QFCAT-;differentiate;AMA;8| (|x| |deriv| $)
+ (PROG (|n| |d|)
+ (RETURN
+ (SEQ (LETT |n| (SPADCALL |x| (QREFELT $ 8))
+ |QFCAT-;differentiate;AMA;8|)
+ (LETT |d| (SPADCALL |x| (QREFELT $ 11))
+ |QFCAT-;differentiate;AMA;8|)
+ (EXIT (SPADCALL
+ (SPADCALL
+ (SPADCALL (SPADCALL |n| |deriv|) |d|
+ (QREFELT $ 32))
+ (SPADCALL |n| (SPADCALL |d| |deriv|)
+ (QREFELT $ 32))
+ (QREFELT $ 33))
+ (SPADCALL |d| 2 (QREFELT $ 35)) (QREFELT $ 15)))))))
+
+(DEFUN |QFCAT-;convert;AIf;9| (|x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 38))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 38))
+ (QREFELT $ 39)))
+
+(DEFUN |QFCAT-;convert;AF;10| (|x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 42))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 42))
+ (QREFELT $ 43)))
+
+(DEFUN |QFCAT-;convert;ADf;11| (|x| $)
+ (/ (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 46))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 46))))
+
+(DEFUN |QFCAT-;<;2AB;12| (|x| |y| $)
+ (SPADCALL
+ (SPADCALL (SPADCALL |x| (QREFELT $ 8))
+ (SPADCALL |y| (QREFELT $ 11)) (QREFELT $ 32))
+ (SPADCALL (SPADCALL |y| (QREFELT $ 8))
+ (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 32))
+ (QREFELT $ 49)))
+
+(DEFUN |QFCAT-;<;2AB;13| (|x| |y| $)
+ (PROG (|#G19| |#G20| |#G21| |#G22|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL (SPADCALL |x| (QREFELT $ 11))
+ (|spadConstant| $ 51) (QREFELT $ 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| (QREFELT $ 11))
+ (|spadConstant| $ 51) (QREFELT $ 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| (QREFELT $ 8))
+ (SPADCALL |y| (QREFELT $ 11)) (QREFELT $ 32))
+ (SPADCALL (SPADCALL |y| (QREFELT $ 8))
+ (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 32))
+ (QREFELT $ 49)))))))
+
+(DEFUN |QFCAT-;<;2AB;14| (|x| |y| $)
+ (SPADCALL
+ (SPADCALL (SPADCALL |x| (QREFELT $ 8))
+ (SPADCALL |y| (QREFELT $ 11)) (QREFELT $ 32))
+ (SPADCALL (SPADCALL |y| (QREFELT $ 8))
+ (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 32))
+ (QREFELT $ 49)))
+
+(DEFUN |QFCAT-;fractionPart;2A;15| (|x| $)
+ (SPADCALL |x| (SPADCALL (SPADCALL |x| (QREFELT $ 52)) (QREFELT $ 9))
+ (QREFELT $ 53)))
+
+(DEFUN |QFCAT-;coerce;SA;16| (|s| $)
+ (SPADCALL (SPADCALL |s| (QREFELT $ 56)) (QREFELT $ 9)))
+
+(DEFUN |QFCAT-;retract;AS;17| (|x| $)
+ (SPADCALL (SPADCALL |x| (QREFELT $ 58)) (QREFELT $ 59)))
+
+(DEFUN |QFCAT-;retractIfCan;AU;18| (|x| $)
+ (PROG (|r|)
+ (RETURN
+ (SEQ (LETT |r| (SPADCALL |x| (QREFELT $ 62))
+ |QFCAT-;retractIfCan;AU;18|)
+ (EXIT (COND
+ ((QEQCAR |r| 1) (CONS 1 "failed"))
+ ('T (SPADCALL (QCDR |r|) (QREFELT $ 64)))))))))
+
+(DEFUN |QFCAT-;convert;AP;19| (|x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 67))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 67))
+ (QREFELT $ 68)))
+
+(DEFUN |QFCAT-;patternMatch;AP2Pmr;20| (|x| |p| |l| $)
+ (SPADCALL |x| |p| |l| (QREFELT $ 72)))
+
+(DEFUN |QFCAT-;convert;AP;21| (|x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 8)) (QREFELT $ 76))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 11)) (QREFELT $ 76))
+ (QREFELT $ 77)))
+
+(DEFUN |QFCAT-;patternMatch;AP2Pmr;22| (|x| |p| |l| $)
+ (SPADCALL |x| |p| |l| (QREFELT $ 81)))
+
+(DEFUN |QFCAT-;coerce;FA;23| (|x| $)
+ (SPADCALL (SPADCALL (SPADCALL |x| (QREFELT $ 86)) (QREFELT $ 87))
+ (SPADCALL (SPADCALL |x| (QREFELT $ 88)) (QREFELT $ 87))
+ (QREFELT $ 89)))
+
+(DEFUN |QFCAT-;retract;AI;24| (|x| $)
+ (SPADCALL (SPADCALL |x| (QREFELT $ 58)) (QREFELT $ 91)))
+
+(DEFUN |QFCAT-;retractIfCan;AU;25| (|x| $)
+ (PROG (|u|)
+ (RETURN
+ (SEQ (LETT |u| (SPADCALL |x| (QREFELT $ 62))
+ |QFCAT-;retractIfCan;AU;25|)
+ (EXIT (COND
+ ((QEQCAR |u| 1) (CONS 1 "failed"))
+ ('T (SPADCALL (QCDR |u|) (QREFELT $ 94)))))))))
+
+(DEFUN |QFCAT-;random;A;26| ($)
+ (PROG (|d|)
+ (RETURN
+ (SEQ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (LETT |d| (SPADCALL (QREFELT $ 96))
+ |QFCAT-;random;A;26|)
+ (QREFELT $ 97)))
+ (GO G191)))
+ (SEQ (EXIT |d|)) NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL (SPADCALL (QREFELT $ 96)) |d|
+ (QREFELT $ 15)))))))
+
+(DEFUN |QFCAT-;reducedSystem;MVR;27| (|m| |v| $)
+ (PROG (|n|)
+ (RETURN
+ (SEQ (LETT |n|
+ (SPADCALL
+ (SPADCALL (SPADCALL |v| (QREFELT $ 100)) |m|
+ (QREFELT $ 101))
+ (QREFELT $ 102))
+ |QFCAT-;reducedSystem;MVR;27|)
+ (EXIT (CONS (SPADCALL |n| (SPADCALL |n| (QREFELT $ 103))
+ (SPADCALL |n| (QREFELT $ 104))
+ (+ 1 (SPADCALL |n| (QREFELT $ 105)))
+ (SPADCALL |n| (QREFELT $ 106))
+ (QREFELT $ 107))
+ (SPADCALL |n| (SPADCALL |n| (QREFELT $ 105))
+ (QREFELT $ 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 $ (GETREFV 119) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3
+ (LETT |pv$|
+ (|buildPredVector| 0 0
+ (LIST (|HasCategory| |#2|
+ '(|PolynomialFactorizationExplicit|))
+ (|HasCategory| |#2|
+ '(|IntegerNumberSystem|))
+ (|HasCategory| |#2| '(|EuclideanDomain|))
+ (|HasCategory| |#2|
+ '(|RetractableTo| (|Symbol|)))
+ (|HasCategory| |#2|
+ '(|CharacteristicNonZero|))
+ (|HasCategory| |#2|
+ '(|CharacteristicZero|))
+ (|HasCategory| |#2|
+ '(|ConvertibleTo| (|InputForm|)))
+ (|HasCategory| |#2| '(|RealConstant|))
+ (|HasCategory| |#2|
+ '(|OrderedIntegralDomain|))
+ (|HasCategory| |#2| '(|OrderedSet|))
+ (|HasCategory| |#2|
+ '(|RetractableTo| (|Integer|)))
+ (|HasCategory| |#2| '(|StepThrough|)))) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ (QSETREFV $ 7 |#2|)
+ (COND
+ ((|testBitVector| |pv$| 12)
+ (PROGN
+ (QSETREFV $ 16
+ (CONS (|dispatchFunction| |QFCAT-;init;A;3|) $))
+ (QSETREFV $ 20
+ (CONS (|dispatchFunction| |QFCAT-;nextItem;AU;4|) $)))))
+ (COND
+ ((|testBitVector| |pv$| 7)
+ (QSETREFV $ 40
+ (CONS (|dispatchFunction| |QFCAT-;convert;AIf;9|) $))))
+ (COND
+ ((|testBitVector| |pv$| 8)
+ (PROGN
+ (QSETREFV $ 44
+ (CONS (|dispatchFunction| |QFCAT-;convert;AF;10|) $))
+ (QSETREFV $ 47
+ (CONS (|dispatchFunction| |QFCAT-;convert;ADf;11|) $)))))
+ (COND
+ ((|testBitVector| |pv$| 9)
+ (COND
+ ((|HasAttribute| |#2| '|canonicalUnitNormal|)
+ (QSETREFV $ 50
+ (CONS (|dispatchFunction| |QFCAT-;<;2AB;12|) $)))
+ ('T
+ (QSETREFV $ 50
+ (CONS (|dispatchFunction| |QFCAT-;<;2AB;13|) $)))))
+ ((|testBitVector| |pv$| 10)
+ (QSETREFV $ 50
+ (CONS (|dispatchFunction| |QFCAT-;<;2AB;14|) $))))
+ (COND
+ ((|testBitVector| |pv$| 3)
+ (QSETREFV $ 54
+ (CONS (|dispatchFunction| |QFCAT-;fractionPart;2A;15|)
+ $))))
+ (COND
+ ((|testBitVector| |pv$| 4)
+ (PROGN
+ (QSETREFV $ 57
+ (CONS (|dispatchFunction| |QFCAT-;coerce;SA;16|) $))
+ (QSETREFV $ 60
+ (CONS (|dispatchFunction| |QFCAT-;retract;AS;17|) $))
+ (QSETREFV $ 65
+ (CONS (|dispatchFunction| |QFCAT-;retractIfCan;AU;18|)
+ $)))))
+ (COND
+ ((|HasCategory| |#2|
+ '(|ConvertibleTo| (|Pattern| (|Integer|))))
+ (PROGN
+ (QSETREFV $ 69
+ (CONS (|dispatchFunction| |QFCAT-;convert;AP;19|) $))
+ (COND
+ ((|HasCategory| |#2| '(|PatternMatchable| (|Integer|)))
+ (QSETREFV $ 74
+ (CONS (|dispatchFunction|
+ |QFCAT-;patternMatch;AP2Pmr;20|)
+ $)))))))
+ (COND
+ ((|HasCategory| |#2|
+ '(|ConvertibleTo| (|Pattern| (|Float|))))
+ (PROGN
+ (QSETREFV $ 78
+ (CONS (|dispatchFunction| |QFCAT-;convert;AP;21|) $))
+ (COND
+ ((|HasCategory| |#2| '(|PatternMatchable| (|Float|)))
+ (QSETREFV $ 83
+ (CONS (|dispatchFunction|
+ |QFCAT-;patternMatch;AP2Pmr;22|)
+ $)))))))
+ (COND
+ ((|testBitVector| |pv$| 11)
+ (PROGN
+ (QSETREFV $ 90
+ (CONS (|dispatchFunction| |QFCAT-;coerce;FA;23|) $))
+ (COND
+ ((|domainEqual| |#2| (|Integer|)))
+ ('T
+ (PROGN
+ (QSETREFV $ 92
+ (CONS (|dispatchFunction| |QFCAT-;retract;AI;24|)
+ $))
+ (QSETREFV $ 95
+ (CONS (|dispatchFunction|
+ |QFCAT-;retractIfCan;AU;25|)
+ $))))))))
+ (COND
+ ((|testBitVector| |pv$| 2)
+ (QSETREFV $ 98
+ (CONS (|dispatchFunction| |QFCAT-;random;A;26|) $))))
+ $))))
+
+(MAKEPROP '|QuotientFieldCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
+ (0 . |numer|) (5 . |coerce|) |QFCAT-;numerator;2A;1|
+ (10 . |denom|) |QFCAT-;denominator;2A;2| (15 . |init|)
+ (19 . |One|) (23 . /) (29 . |init|) (|Union| $ '"failed")
+ (33 . |nextItem|) (38 . |One|) (42 . |nextItem|)
+ (|Mapping| 7 7) |QFCAT-;map;M2A;5| (|Matrix| 7)
+ (|Matrix| 6) (|MatrixCommonDenominator| 7 6)
+ (47 . |clearDenominator|) (|Matrix| $)
+ |QFCAT-;reducedSystem;MM;6| (|NonNegativeInteger|)
+ (52 . |characteristic|) |QFCAT-;characteristic;Nni;7|
+ (56 . *) (62 . -) (|PositiveInteger|) (68 . **)
+ |QFCAT-;differentiate;AMA;8| (|InputForm|)
+ (74 . |convert|) (79 . /) (85 . |convert|) (|Float|)
+ (90 . |convert|) (95 . /) (101 . |convert|)
+ (|DoubleFloat|) (106 . |convert|) (111 . |convert|)
+ (|Boolean|) (116 . <) (122 . <) (128 . |Zero|)
+ (132 . |wholePart|) (137 . -) (143 . |fractionPart|)
+ (|Symbol|) (148 . |coerce|) (153 . |coerce|)
+ (158 . |retract|) (163 . |retract|) (168 . |retract|)
+ (|Union| 7 '"failed") (173 . |retractIfCan|)
+ (|Union| 55 '"failed") (178 . |retractIfCan|)
+ (183 . |retractIfCan|) (|Pattern| 84) (188 . |convert|)
+ (193 . /) (199 . |convert|) (|PatternMatchResult| 84 6)
+ (|PatternMatchQuotientFieldCategory| 84 7 6)
+ (204 . |patternMatch|) (|PatternMatchResult| 84 $)
+ (211 . |patternMatch|) (|Pattern| 41) (218 . |convert|)
+ (223 . /) (229 . |convert|) (|PatternMatchResult| 41 6)
+ (|PatternMatchQuotientFieldCategory| 41 7 6)
+ (234 . |patternMatch|) (|PatternMatchResult| 41 $)
+ (241 . |patternMatch|) (|Integer|) (|Fraction| 84)
+ (248 . |numer|) (253 . |coerce|) (258 . |denom|) (263 . /)
+ (269 . |coerce|) (274 . |retract|) (279 . |retract|)
+ (|Union| 84 '"failed") (284 . |retractIfCan|)
+ (289 . |retractIfCan|) (294 . |random|) (298 . |zero?|)
+ (303 . |random|) (|Vector| 6) (307 . |coerce|)
+ (312 . |horizConcat|) (318 . |reducedSystem|)
+ (323 . |minRowIndex|) (328 . |maxRowIndex|)
+ (333 . |minColIndex|) (338 . |maxColIndex|)
+ (343 . |subMatrix|) (|Vector| 7) (352 . |column|)
+ (|Record| (|:| |mat| 23) (|:| |vec| 108)) (|Vector| $)
+ |QFCAT-;reducedSystem;MVR;27| (|Union| 85 '"failed")
+ (|Record| (|:| |mat| 115) (|:| |vec| (|Vector| 84)))
+ (|Matrix| 84) (|List| 55) (|List| 29) (|OutputForm|))
+ '#(|retractIfCan| 358 |retract| 368 |reducedSystem| 378
+ |random| 389 |patternMatch| 393 |numerator| 407 |nextItem|
+ 412 |map| 417 |init| 423 |fractionPart| 427
+ |differentiate| 432 |denominator| 438 |convert| 443
+ |coerce| 468 |characteristic| 478 < 482)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 112
+ '(1 6 7 0 8 1 6 0 7 9 1 6 7 0 11 0 7 0
+ 13 0 7 0 14 2 6 0 7 7 15 0 0 0 16 1 7
+ 17 0 18 0 6 0 19 1 0 17 0 20 1 25 23
+ 24 26 0 7 29 30 2 7 0 0 0 32 2 7 0 0
+ 0 33 2 7 0 0 34 35 1 7 37 0 38 2 37 0
+ 0 0 39 1 0 37 0 40 1 7 41 0 42 2 41 0
+ 0 0 43 1 0 41 0 44 1 7 45 0 46 1 0 45
+ 0 47 2 7 48 0 0 49 2 0 48 0 0 50 0 7
+ 0 51 1 6 7 0 52 2 6 0 0 0 53 1 0 0 0
+ 54 1 7 0 55 56 1 0 0 55 57 1 6 7 0 58
+ 1 7 55 0 59 1 0 55 0 60 1 6 61 0 62 1
+ 7 63 0 64 1 0 63 0 65 1 7 66 0 67 2
+ 66 0 0 0 68 1 0 66 0 69 3 71 70 6 66
+ 70 72 3 0 73 0 66 73 74 1 7 75 0 76 2
+ 75 0 0 0 77 1 0 75 0 78 3 80 79 6 75
+ 79 81 3 0 82 0 75 82 83 1 85 84 0 86
+ 1 6 0 84 87 1 85 84 0 88 2 6 0 0 0 89
+ 1 0 0 85 90 1 7 84 0 91 1 0 84 0 92 1
+ 7 93 0 94 1 0 93 0 95 0 7 0 96 1 7 48
+ 0 97 0 0 0 98 1 24 0 99 100 2 24 0 0
+ 0 101 1 6 23 27 102 1 23 84 0 103 1
+ 23 84 0 104 1 23 84 0 105 1 23 84 0
+ 106 5 23 0 0 84 84 84 84 107 2 23 108
+ 0 84 109 1 0 93 0 95 1 0 63 0 65 1 0
+ 84 0 92 1 0 55 0 60 2 0 110 27 111
+ 112 1 0 23 27 28 0 0 0 98 3 0 82 0 75
+ 82 83 3 0 73 0 66 73 74 1 0 0 0 10 1
+ 0 17 0 20 2 0 0 21 0 22 0 0 0 16 1 0
+ 0 0 54 2 0 0 0 21 36 1 0 0 0 12 1 0
+ 45 0 47 1 0 37 0 40 1 0 41 0 44 1 0
+ 66 0 69 1 0 75 0 78 1 0 0 55 57 1 0 0
+ 85 90 0 0 29 31 2 0 48 0 0 50)))))
+ '|lookupComplete|))
@
\section{package QFCAT2 QuotientFieldCategoryFunctions2}
<<package QFCAT2 QuotientFieldCategoryFunctions2>>=
diff --git a/src/algebra/polset.spad.pamphlet b/src/algebra/polset.spad.pamphlet
index 4e21255d..14527801 100644
--- a/src/algebra/polset.spad.pamphlet
+++ b/src/algebra/polset.spad.pamphlet
@@ -368,15 +368,128 @@ Note that this code is not included in the generated catdef.spad file.
<<PSETCAT.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(SETQ |PolynomialSetCategory;CAT| (QUOTE NIL))
-
-(SETQ |PolynomialSetCategory;AL| (QUOTE NIL))
-
-(DEFUN |PolynomialSetCategory| (|&REST| #1=#:G82375 |&AUX| #2=#:G82373) (DSETQ #2# #1#) (LET (#3=#:G82374) (COND ((SETQ #3# (|assoc| (|devaluateList| #2#) |PolynomialSetCategory;AL|)) (CDR #3#)) (T (SETQ |PolynomialSetCategory;AL| (|cons5| (CONS (|devaluateList| #2#) (SETQ #3# (APPLY (FUNCTION |PolynomialSetCategory;|) #2#))) |PolynomialSetCategory;AL|)) #3#))))
-
-(DEFUN |PolynomialSetCategory;| (|t#1| |t#2| |t#3| |t#4|) (PROG (#1=#:G82372) (RETURN (PROG1 (LETT #1# (|sublisV| (PAIR (QUOTE (|t#1| |t#2| |t#3| |t#4|)) (LIST (|devaluate| |t#1|) (|devaluate| |t#2|) (|devaluate| |t#3|) (|devaluate| |t#4|))) (|sublisV| (PAIR (QUOTE (#2=#:G82371)) (LIST (QUOTE (|List| |t#4|)))) (COND (|PolynomialSetCategory;CAT|) ((QUOTE T) (LETT |PolynomialSetCategory;CAT| (|Join| (|SetCategory|) (|Collection| (QUOTE |t#4|)) (|CoercibleTo| (QUOTE #2#)) (|mkCategory| (QUOTE |domain|) (QUOTE (((|retractIfCan| ((|Union| |$| "failed") (|List| |t#4|))) T) ((|retract| (|$| (|List| |t#4|))) T) ((|mvar| (|t#3| |$|)) T) ((|variables| ((|List| |t#3|) |$|)) T) ((|mainVariables| ((|List| |t#3|) |$|)) T) ((|mainVariable?| ((|Boolean|) |t#3| |$|)) T) ((|collectUnder| (|$| |$| |t#3|)) T) ((|collect| (|$| |$| |t#3|)) T) ((|collectUpper| (|$| |$| |t#3|)) T) ((|sort| ((|Record| (|:| |under| |$|) (|:| |floor| |$|) (|:| |upper| |$|)) |$| |t#3|)) T) ((|trivialIdeal?| ((|Boolean|) |$|)) T) ((|roughBase?| ((|Boolean|) |$|)) (|has| |t#1| (|IntegralDomain|))) ((|roughSubIdeal?| ((|Boolean|) |$| |$|)) (|has| |t#1| (|IntegralDomain|))) ((|roughEqualIdeals?| ((|Boolean|) |$| |$|)) (|has| |t#1| (|IntegralDomain|))) ((|roughUnitIdeal?| ((|Boolean|) |$|)) (|has| |t#1| (|IntegralDomain|))) ((|headRemainder| ((|Record| (|:| |num| |t#4|) (|:| |den| |t#1|)) |t#4| |$|)) (|has| |t#1| (|IntegralDomain|))) ((|remainder| ((|Record| (|:| |rnum| |t#1|) (|:| |polnum| |t#4|) (|:| |den| |t#1|)) |t#4| |$|)) (|has| |t#1| (|IntegralDomain|))) ((|rewriteIdealWithHeadRemainder| ((|List| |t#4|) (|List| |t#4|) |$|)) (|has| |t#1| (|IntegralDomain|))) ((|rewriteIdealWithRemainder| ((|List| |t#4|) (|List| |t#4|) |$|)) (|has| |t#1| (|IntegralDomain|))) ((|triangular?| ((|Boolean|) |$|)) (|has| |t#1| (|IntegralDomain|))))) (QUOTE ((|finiteAggregate| T))) (QUOTE ((|Boolean|) (|List| |t#4|) (|List| |t#3|))) NIL)) . #3=(|PolynomialSetCategory|)))))) . #3#) (SETELT #1# 0 (LIST (QUOTE |PolynomialSetCategory|) (|devaluate| |t#1|) (|devaluate| |t#2|) (|devaluate| |t#3|) (|devaluate| |t#4|)))))))
+(/VERSIONCHECK 2)
+
+(DEFPARAMETER |PolynomialSetCategory;CAT| 'NIL)
+
+(DEFPARAMETER |PolynomialSetCategory;AL| 'NIL)
+
+(DEFUN |PolynomialSetCategory| (&REST #0=#:G1422 &AUX #1=#:G1420)
+ (DSETQ #1# #0#)
+ (LET (#2=#:G1421)
+ (COND
+ ((SETQ #2#
+ (|assoc| (|devaluateList| #1#) |PolynomialSetCategory;AL|))
+ (CDR #2#))
+ (T (SETQ |PolynomialSetCategory;AL|
+ (|cons5| (CONS (|devaluateList| #1#)
+ (SETQ #2#
+ (APPLY #'|PolynomialSetCategory;|
+ #1#)))
+ |PolynomialSetCategory;AL|))
+ #2#))))
+
+(DEFUN |PolynomialSetCategory;| (|t#1| |t#2| |t#3| |t#4|)
+ (PROG (#0=#:G1419)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|sublisV|
+ (PAIR '(|t#1| |t#2| |t#3| |t#4|)
+ (LIST (|devaluate| |t#1|)
+ (|devaluate| |t#2|)
+ (|devaluate| |t#3|)
+ (|devaluate| |t#4|)))
+ (|sublisV|
+ (PAIR '(#1=#:G1418) (LIST '(|List| |t#4|)))
+ (COND
+ (|PolynomialSetCategory;CAT|)
+ ('T
+ (LETT |PolynomialSetCategory;CAT|
+ (|Join| (|SetCategory|)
+ (|Collection| '|t#4|)
+ (|CoercibleTo| '#1#)
+ (|mkCategory| '|domain|
+ '(((|retractIfCan|
+ ((|Union| $ "failed")
+ (|List| |t#4|)))
+ T)
+ ((|retract| ($ (|List| |t#4|)))
+ T)
+ ((|mvar| (|t#3| $)) T)
+ ((|variables|
+ ((|List| |t#3|) $))
+ T)
+ ((|mainVariables|
+ ((|List| |t#3|) $))
+ T)
+ ((|mainVariable?|
+ ((|Boolean|) |t#3| $))
+ T)
+ ((|collectUnder| ($ $ |t#3|))
+ T)
+ ((|collect| ($ $ |t#3|)) T)
+ ((|collectUpper| ($ $ |t#3|))
+ T)
+ ((|sort|
+ ((|Record| (|:| |under| $)
+ (|:| |floor| $)
+ (|:| |upper| $))
+ $ |t#3|))
+ T)
+ ((|trivialIdeal?|
+ ((|Boolean|) $))
+ T)
+ ((|roughBase?| ((|Boolean|) $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|roughSubIdeal?|
+ ((|Boolean|) $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|roughEqualIdeals?|
+ ((|Boolean|) $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|roughUnitIdeal?|
+ ((|Boolean|) $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|headRemainder|
+ ((|Record| (|:| |num| |t#4|)
+ (|:| |den| |t#1|))
+ |t#4| $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|remainder|
+ ((|Record| (|:| |rnum| |t#1|)
+ (|:| |polnum| |t#4|)
+ (|:| |den| |t#1|))
+ |t#4| $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|rewriteIdealWithHeadRemainder|
+ ((|List| |t#4|)
+ (|List| |t#4|) $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|rewriteIdealWithRemainder|
+ ((|List| |t#4|)
+ (|List| |t#4|) $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|triangular?|
+ ((|Boolean|) $))
+ (|has| |t#1|
+ (|IntegralDomain|))))
+ '((|finiteAggregate| T))
+ '((|Boolean|) (|List| |t#4|)
+ (|List| |t#3|))
+ NIL))
+ . #2=(|PolynomialSetCategory|)))))) . #2#)
+ (SETELT #0# 0
+ (LIST '|PolynomialSetCategory| (|devaluate| |t#1|)
+ (|devaluate| |t#2|) (|devaluate| |t#3|)
+ (|devaluate| |t#4|)))))))
@
\section{PSETCAT-.lsp BOOTSTRAP}
{\bf PSETCAT-} depends on {\bf PSETCAT}. We need to break this cycle to build
@@ -389,71 +502,852 @@ Note that this code is not included in the generated catdef.spad file.
<<PSETCAT-.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(DEFUN |PSETCAT-;elements| (|ps| |$|) (PROG (|lp|) (RETURN (LETT |lp| (SPADCALL |ps| (QREFELT |$| 12)) |PSETCAT-;elements|))))
-
-(DEFUN |PSETCAT-;variables1| (|lp| |$|) (PROG (#1=#:G82392 |p| #2=#:G82393 |lvars|) (RETURN (SEQ (LETT |lvars| (PROGN (LETT #1# NIL |PSETCAT-;variables1|) (SEQ (LETT |p| NIL |PSETCAT-;variables1|) (LETT #2# |lp| |PSETCAT-;variables1|) G190 (COND ((OR (ATOM #2#) (PROGN (LETT |p| (CAR #2#) |PSETCAT-;variables1|) NIL)) (GO G191))) (SEQ (EXIT (LETT #1# (CONS (SPADCALL |p| (QREFELT |$| 14)) #1#) |PSETCAT-;variables1|))) (LETT #2# (CDR #2#) |PSETCAT-;variables1|) (GO G190) G191 (EXIT (NREVERSE0 #1#)))) |PSETCAT-;variables1|) (EXIT (SPADCALL (CONS (FUNCTION |PSETCAT-;variables1!0|) |$|) (SPADCALL (SPADCALL |lvars| (QREFELT |$| 18)) (QREFELT |$| 19)) (QREFELT |$| 21)))))))
-
-(DEFUN |PSETCAT-;variables1!0| (|#1| |#2| |$|) (SPADCALL |#2| |#1| (QREFELT |$| 16)))
-
-(DEFUN |PSETCAT-;variables2| (|lp| |$|) (PROG (#1=#:G82397 |p| #2=#:G82398 |lvars|) (RETURN (SEQ (LETT |lvars| (PROGN (LETT #1# NIL |PSETCAT-;variables2|) (SEQ (LETT |p| NIL |PSETCAT-;variables2|) (LETT #2# |lp| |PSETCAT-;variables2|) G190 (COND ((OR (ATOM #2#) (PROGN (LETT |p| (CAR #2#) |PSETCAT-;variables2|) NIL)) (GO G191))) (SEQ (EXIT (LETT #1# (CONS (SPADCALL |p| (QREFELT |$| 22)) #1#) |PSETCAT-;variables2|))) (LETT #2# (CDR #2#) |PSETCAT-;variables2|) (GO G190) G191 (EXIT (NREVERSE0 #1#)))) |PSETCAT-;variables2|) (EXIT (SPADCALL (CONS (FUNCTION |PSETCAT-;variables2!0|) |$|) (SPADCALL |lvars| (QREFELT |$| 19)) (QREFELT |$| 21)))))))
-
-(DEFUN |PSETCAT-;variables2!0| (|#1| |#2| |$|) (SPADCALL |#2| |#1| (QREFELT |$| 16)))
-
-(DEFUN |PSETCAT-;variables;SL;4| (|ps| |$|) (|PSETCAT-;variables1| (|PSETCAT-;elements| |ps| |$|) |$|))
-
-(DEFUN |PSETCAT-;mainVariables;SL;5| (|ps| |$|) (|PSETCAT-;variables2| (SPADCALL (ELT |$| 24) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26)) |$|))
-
-(DEFUN |PSETCAT-;mainVariable?;VarSetSB;6| (|v| |ps| |$|) (PROG (|lp|) (RETURN (SEQ (LETT |lp| (SPADCALL (ELT |$| 24) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26)) |PSETCAT-;mainVariable?;VarSetSB;6|) (SEQ G190 (COND ((NULL (COND ((OR (NULL |lp|) (SPADCALL (SPADCALL (|SPADfirst| |lp|) (QREFELT |$| 22)) |v| (QREFELT |$| 28))) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (EXIT (LETT |lp| (CDR |lp|) |PSETCAT-;mainVariable?;VarSetSB;6|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (QUOTE T))))))))
-
-(DEFUN |PSETCAT-;collectUnder;SVarSetS;7| (|ps| |v| |$|) (PROG (|p| |lp| |lq|) (RETURN (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| |$|) |PSETCAT-;collectUnder;SVarSetS;7|) (LETT |lq| NIL |PSETCAT-;collectUnder;SVarSetS;7|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;collectUnder;SVarSetS;7|) (LETT |lp| (CDR |lp|) |PSETCAT-;collectUnder;SVarSetS;7|) (EXIT (COND ((OR (SPADCALL |p| (QREFELT |$| 24)) (SPADCALL (SPADCALL |p| (QREFELT |$| 22)) |v| (QREFELT |$| 16))) (LETT |lq| (CONS |p| |lq|) |PSETCAT-;collectUnder;SVarSetS;7|))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL |lq| (QREFELT |$| 30)))))))
-
-(DEFUN |PSETCAT-;collectUpper;SVarSetS;8| (|ps| |v| |$|) (PROG (|p| |lp| |lq|) (RETURN (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| |$|) |PSETCAT-;collectUpper;SVarSetS;8|) (LETT |lq| NIL |PSETCAT-;collectUpper;SVarSetS;8|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;collectUpper;SVarSetS;8|) (LETT |lp| (CDR |lp|) |PSETCAT-;collectUpper;SVarSetS;8|) (EXIT (COND ((NULL (SPADCALL |p| (QREFELT |$| 24))) (COND ((SPADCALL |v| (SPADCALL |p| (QREFELT |$| 22)) (QREFELT |$| 16)) (LETT |lq| (CONS |p| |lq|) |PSETCAT-;collectUpper;SVarSetS;8|))))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL |lq| (QREFELT |$| 30)))))))
-
-(DEFUN |PSETCAT-;collect;SVarSetS;9| (|ps| |v| |$|) (PROG (|p| |lp| |lq|) (RETURN (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| |$|) |PSETCAT-;collect;SVarSetS;9|) (LETT |lq| NIL |PSETCAT-;collect;SVarSetS;9|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;collect;SVarSetS;9|) (LETT |lp| (CDR |lp|) |PSETCAT-;collect;SVarSetS;9|) (EXIT (COND ((NULL (SPADCALL |p| (QREFELT |$| 24))) (COND ((SPADCALL (SPADCALL |p| (QREFELT |$| 22)) |v| (QREFELT |$| 28)) (LETT |lq| (CONS |p| |lq|) |PSETCAT-;collect;SVarSetS;9|))))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL |lq| (QREFELT |$| 30)))))))
-
-(DEFUN |PSETCAT-;sort;SVarSetR;10| (|ps| |v| |$|) (PROG (|p| |lp| |us| |vs| |ws|) (RETURN (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| |$|) |PSETCAT-;sort;SVarSetR;10|) (LETT |us| NIL |PSETCAT-;sort;SVarSetR;10|) (LETT |vs| NIL |PSETCAT-;sort;SVarSetR;10|) (LETT |ws| NIL |PSETCAT-;sort;SVarSetR;10|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;sort;SVarSetR;10|) (LETT |lp| (CDR |lp|) |PSETCAT-;sort;SVarSetR;10|) (EXIT (COND ((OR (SPADCALL |p| (QREFELT |$| 24)) (SPADCALL (SPADCALL |p| (QREFELT |$| 22)) |v| (QREFELT |$| 16))) (LETT |us| (CONS |p| |us|) |PSETCAT-;sort;SVarSetR;10|)) ((SPADCALL (SPADCALL |p| (QREFELT |$| 22)) |v| (QREFELT |$| 28)) (LETT |vs| (CONS |p| |vs|) |PSETCAT-;sort;SVarSetR;10|)) ((QUOTE T) (LETT |ws| (CONS |p| |ws|) |PSETCAT-;sort;SVarSetR;10|))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (VECTOR (SPADCALL |us| (QREFELT |$| 30)) (SPADCALL |vs| (QREFELT |$| 30)) (SPADCALL |ws| (QREFELT |$| 30))))))))
-
-(DEFUN |PSETCAT-;=;2SB;11| (|ps1| |ps2| |$|) (PROG (#1=#:G82439 #2=#:G82440 #3=#:G82437 |p| #4=#:G82438) (RETURN (SEQ (SPADCALL (SPADCALL (PROGN (LETT #1# NIL |PSETCAT-;=;2SB;11|) (SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|) (LETT #2# (|PSETCAT-;elements| |ps1| |$|) |PSETCAT-;=;2SB;11|) G190 (COND ((OR (ATOM #2#) (PROGN (LETT |p| (CAR #2#) |PSETCAT-;=;2SB;11|) NIL)) (GO G191))) (SEQ (EXIT (LETT #1# (CONS |p| #1#) |PSETCAT-;=;2SB;11|))) (LETT #2# (CDR #2#) |PSETCAT-;=;2SB;11|) (GO G190) G191 (EXIT (NREVERSE0 #1#)))) (QREFELT |$| 37)) (SPADCALL (PROGN (LETT #3# NIL |PSETCAT-;=;2SB;11|) (SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|) (LETT #4# (|PSETCAT-;elements| |ps2| |$|) |PSETCAT-;=;2SB;11|) G190 (COND ((OR (ATOM #4#) (PROGN (LETT |p| (CAR #4#) |PSETCAT-;=;2SB;11|) NIL)) (GO G191))) (SEQ (EXIT (LETT #3# (CONS |p| #3#) |PSETCAT-;=;2SB;11|))) (LETT #4# (CDR #4#) |PSETCAT-;=;2SB;11|) (GO G190) G191 (EXIT (NREVERSE0 #3#)))) (QREFELT |$| 37)) (QREFELT |$| 38))))))
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-(DEFUN |PSETCAT-;localInf?| (|p| |q| |$|) (SPADCALL (SPADCALL |p| (QREFELT |$| 40)) (SPADCALL |q| (QREFELT |$| 40)) (QREFELT |$| 41)))
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-(DEFUN |PSETCAT-;localTriangular?| (|lp| |$|) (PROG (|q| |p|) (RETURN (SEQ (LETT |lp| (SPADCALL (ELT |$| 42) |lp| (QREFELT |$| 26)) |PSETCAT-;localTriangular?|) (EXIT (COND ((NULL |lp|) (QUOTE T)) ((SPADCALL (ELT |$| 24) |lp| (QREFELT |$| 43)) (QUOTE NIL)) ((QUOTE T) (SEQ (LETT |lp| (SPADCALL (CONS (FUNCTION |PSETCAT-;localTriangular?!0|) |$|) |lp| (QREFELT |$| 45)) |PSETCAT-;localTriangular?|) (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;localTriangular?|) (LETT |lp| (CDR |lp|) |PSETCAT-;localTriangular?|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) (SPADCALL (SPADCALL (LETT |q| (|SPADfirst| |lp|) |PSETCAT-;localTriangular?|) (QREFELT |$| 22)) (SPADCALL |p| (QREFELT |$| 22)) (QREFELT |$| 16))))) (GO G191))) (SEQ (LETT |p| |q| |PSETCAT-;localTriangular?|) (EXIT (LETT |lp| (CDR |lp|) |PSETCAT-;localTriangular?|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (NULL |lp|))))))))))
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-(DEFUN |PSETCAT-;localTriangular?!0| (|#1| |#2| |$|) (SPADCALL (SPADCALL |#2| (QREFELT |$| 22)) (SPADCALL |#1| (QREFELT |$| 22)) (QREFELT |$| 16)))
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-(DEFUN |PSETCAT-;triangular?;SB;14| (|ps| |$|) (|PSETCAT-;localTriangular?| (|PSETCAT-;elements| |ps| |$|) |$|))
-
-(DEFUN |PSETCAT-;trivialIdeal?;SB;15| (|ps| |$|) (NULL (SPADCALL (ELT |$| 42) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26))))
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-(DEFUN |PSETCAT-;roughUnitIdeal?;SB;16| (|ps| |$|) (SPADCALL (ELT |$| 24) (SPADCALL (ELT |$| 42) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26)) (QREFELT |$| 43)))
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-(DEFUN |PSETCAT-;relativelyPrimeLeadingMonomials?| (|p| |q| |$|) (PROG (|dp| |dq|) (RETURN (SEQ (LETT |dp| (SPADCALL |p| (QREFELT |$| 40)) |PSETCAT-;relativelyPrimeLeadingMonomials?|) (LETT |dq| (SPADCALL |q| (QREFELT |$| 40)) |PSETCAT-;relativelyPrimeLeadingMonomials?|) (EXIT (SPADCALL (SPADCALL |dp| |dq| (QREFELT |$| 49)) (SPADCALL |dp| |dq| (QREFELT |$| 50)) (QREFELT |$| 51)))))))
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-(DEFUN |PSETCAT-;roughBase?;SB;18| (|ps| |$|) (PROG (|p| |lp| |rB?| |copylp|) (RETURN (SEQ (LETT |lp| (SPADCALL (ELT |$| 42) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26)) |PSETCAT-;roughBase?;SB;18|) (EXIT (COND ((NULL |lp|) (QUOTE T)) ((QUOTE T) (SEQ (LETT |rB?| (QUOTE T) |PSETCAT-;roughBase?;SB;18|) (SEQ G190 (COND ((NULL (COND ((NULL |lp|) (QUOTE NIL)) ((QUOTE T) |rB?|))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp|) |PSETCAT-;roughBase?;SB;18|) (LETT |lp| (CDR |lp|) |PSETCAT-;roughBase?;SB;18|) (LETT |copylp| |lp| |PSETCAT-;roughBase?;SB;18|) (EXIT (SEQ G190 (COND ((NULL (COND ((NULL |copylp|) (QUOTE NIL)) ((QUOTE T) |rB?|))) (GO G191))) (SEQ (LETT |rB?| (|PSETCAT-;relativelyPrimeLeadingMonomials?| |p| (|SPADfirst| |copylp|) |$|) |PSETCAT-;roughBase?;SB;18|) (EXIT (LETT |copylp| (CDR |copylp|) |PSETCAT-;roughBase?;SB;18|))) NIL (GO G190) G191 (EXIT NIL)))) NIL (GO G190) G191 (EXIT NIL)) (EXIT |rB?|)))))))))
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-(DEFUN |PSETCAT-;roughSubIdeal?;2SB;19| (|ps1| |ps2| |$|) (PROG (|lp|) (RETURN (SEQ (LETT |lp| (SPADCALL (|PSETCAT-;elements| |ps1| |$|) |ps2| (QREFELT |$| 53)) |PSETCAT-;roughSubIdeal?;2SB;19|) (EXIT (NULL (SPADCALL (ELT |$| 42) |lp| (QREFELT |$| 26))))))))
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-(DEFUN |PSETCAT-;roughEqualIdeals?;2SB;20| (|ps1| |ps2| |$|) (COND ((SPADCALL |ps1| |ps2| (QREFELT |$| 55)) (QUOTE T)) ((SPADCALL |ps1| |ps2| (QREFELT |$| 56)) (SPADCALL |ps2| |ps1| (QREFELT |$| 56))) ((QUOTE T) (QUOTE NIL))))
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-(DEFUN |PSETCAT-;exactQuo| (|r| |s| |$|) (SPADCALL |r| |s| (QREFELT |$| 58)))
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-(DEFUN |PSETCAT-;exactQuo| (|r| |s| |$|) (PROG (#1=#:G82473) (RETURN (PROG2 (LETT #1# (SPADCALL |r| |s| (QREFELT |$| 60)) |PSETCAT-;exactQuo|) (QCDR #1#) (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#)))))
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-(DEFUN |PSETCAT-;headRemainder;PSR;23| (|a| |ps| |$|) (PROG (|lp1| |p| |e| |g| |#G47| |#G48| |lca| |lcp| |r| |lp2|) (RETURN (SEQ (LETT |lp1| (SPADCALL (ELT |$| 42) (|PSETCAT-;elements| |ps| |$|) (QREFELT |$| 26)) |PSETCAT-;headRemainder;PSR;23|) (EXIT (COND ((NULL |lp1|) (CONS |a| (|spadConstant| |$| 61))) ((SPADCALL (ELT |$| 24) |lp1| (QREFELT |$| 43)) (CONS (SPADCALL |a| (QREFELT |$| 62)) (|spadConstant| |$| 61))) ((QUOTE T) (SEQ (LETT |r| (|spadConstant| |$| 61) |PSETCAT-;headRemainder;PSR;23|) (LETT |lp1| (SPADCALL (CONS (|function| |PSETCAT-;localInf?|) |$|) (REVERSE (|PSETCAT-;elements| |ps| |$|)) (QREFELT |$| 45)) |PSETCAT-;headRemainder;PSR;23|) (LETT |lp2| |lp1| |PSETCAT-;headRemainder;PSR;23|) (SEQ G190 (COND ((NULL (COND ((OR (SPADCALL |a| (QREFELT |$| 42)) (NULL |lp2|)) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |lp2|) |PSETCAT-;headRemainder;PSR;23|) (LETT |e| (SPADCALL (SPADCALL |a| (QREFELT |$| 40)) (SPADCALL |p| (QREFELT |$| 40)) (QREFELT |$| 63)) |PSETCAT-;headRemainder;PSR;23|) (EXIT (COND ((QEQCAR |e| 0) (SEQ (LETT |g| (SPADCALL (LETT |lca| (SPADCALL |a| (QREFELT |$| 64)) |PSETCAT-;headRemainder;PSR;23|) (LETT |lcp| (SPADCALL |p| (QREFELT |$| 64)) |PSETCAT-;headRemainder;PSR;23|) (QREFELT |$| 65)) |PSETCAT-;headRemainder;PSR;23|) (PROGN (LETT |#G47| (|PSETCAT-;exactQuo| |lca| |g| |$|) |PSETCAT-;headRemainder;PSR;23|) (LETT |#G48| (|PSETCAT-;exactQuo| |lcp| |g| |$|) |PSETCAT-;headRemainder;PSR;23|) (LETT |lca| |#G47| |PSETCAT-;headRemainder;PSR;23|) (LETT |lcp| |#G48| |PSETCAT-;headRemainder;PSR;23|)) (LETT |a| (SPADCALL (SPADCALL |lcp| (SPADCALL |a| (QREFELT |$| 62)) (QREFELT |$| 66)) (SPADCALL (SPADCALL |lca| (QCDR |e|) (QREFELT |$| 67)) (SPADCALL |p| (QREFELT |$| 62)) (QREFELT |$| 68)) (QREFELT |$| 69)) |PSETCAT-;headRemainder;PSR;23|) (LETT |r| (SPADCALL |r| |lcp| (QREFELT |$| 70)) |PSETCAT-;headRemainder;PSR;23|) (EXIT (LETT |lp2| |lp1| |PSETCAT-;headRemainder;PSR;23|)))) ((QUOTE T) (LETT |lp2| (CDR |lp2|) |PSETCAT-;headRemainder;PSR;23|))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (CONS |a| |r|))))))))))
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-(DEFUN |PSETCAT-;makeIrreducible!| (|frac| |$|) (PROG (|g|) (RETURN (SEQ (LETT |g| (SPADCALL (QCDR |frac|) (QCAR |frac|) (QREFELT |$| 73)) |PSETCAT-;makeIrreducible!|) (EXIT (COND ((SPADCALL |g| (QREFELT |$| 74)) |frac|) ((QUOTE T) (SEQ (PROGN (RPLACA |frac| (SPADCALL (QCAR |frac|) |g| (QREFELT |$| 75))) (QCAR |frac|)) (PROGN (RPLACD |frac| (|PSETCAT-;exactQuo| (QCDR |frac|) |g| |$|)) (QCDR |frac|)) (EXIT |frac|)))))))))
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-(DEFUN |PSETCAT-;remainder;PSR;25| (|a| |ps| |$|) (PROG (|hRa| |r| |lca| |g| |b| |c|) (RETURN (SEQ (LETT |hRa| (|PSETCAT-;makeIrreducible!| (SPADCALL |a| |ps| (QREFELT |$| 76)) |$|) |PSETCAT-;remainder;PSR;25|) (LETT |a| (QCAR |hRa|) |PSETCAT-;remainder;PSR;25|) (LETT |r| (QCDR |hRa|) |PSETCAT-;remainder;PSR;25|) (EXIT (COND ((SPADCALL |a| (QREFELT |$| 42)) (VECTOR (|spadConstant| |$| 61) |a| |r|)) ((QUOTE T) (SEQ (LETT |b| (SPADCALL (|spadConstant| |$| 61) (SPADCALL |a| (QREFELT |$| 40)) (QREFELT |$| 67)) |PSETCAT-;remainder;PSR;25|) (LETT |c| (SPADCALL |a| (QREFELT |$| 64)) |PSETCAT-;remainder;PSR;25|) (SEQ G190 (COND ((NULL (COND ((SPADCALL (LETT |a| (SPADCALL |a| (QREFELT |$| 62)) |PSETCAT-;remainder;PSR;25|) (QREFELT |$| 42)) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |hRa| (|PSETCAT-;makeIrreducible!| (SPADCALL |a| |ps| (QREFELT |$| 76)) |$|) |PSETCAT-;remainder;PSR;25|) (LETT |a| (QCAR |hRa|) |PSETCAT-;remainder;PSR;25|) (LETT |r| (SPADCALL |r| (QCDR |hRa|) (QREFELT |$| 70)) |PSETCAT-;remainder;PSR;25|) (LETT |g| (SPADCALL |c| (LETT |lca| (SPADCALL |a| (QREFELT |$| 64)) |PSETCAT-;remainder;PSR;25|) (QREFELT |$| 65)) |PSETCAT-;remainder;PSR;25|) (LETT |b| (SPADCALL (SPADCALL (SPADCALL (QCDR |hRa|) (|PSETCAT-;exactQuo| |c| |g| |$|) (QREFELT |$| 70)) |b| (QREFELT |$| 66)) (SPADCALL (|PSETCAT-;exactQuo| |lca| |g| |$|) (SPADCALL |a| (QREFELT |$| 40)) (QREFELT |$| 67)) (QREFELT |$| 77)) |PSETCAT-;remainder;PSR;25|) (EXIT (LETT |c| |g| |PSETCAT-;remainder;PSR;25|))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (VECTOR |c| |b| |r|))))))))))
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-(DEFUN |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26| (|ps| |cs| |$|) (PROG (|p| |rs|) (RETURN (SEQ (COND ((SPADCALL |cs| (QREFELT |$| 80)) |ps|) ((SPADCALL |cs| (QREFELT |$| 81)) (LIST (|spadConstant| |$| 82))) ((QUOTE T) (SEQ (LETT |ps| (SPADCALL (ELT |$| 42) |ps| (QREFELT |$| 26)) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (EXIT (COND ((NULL |ps|) |ps|) ((SPADCALL (ELT |$| 24) |ps| (QREFELT |$| 43)) (LIST (|spadConstant| |$| 83))) ((QUOTE T) (SEQ (LETT |rs| NIL |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (SEQ G190 (COND ((NULL (COND ((NULL |ps|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |ps|) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (LETT |ps| (CDR |ps|) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (LETT |p| (QCAR (SPADCALL |p| |cs| (QREFELT |$| 76))) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (EXIT (COND ((NULL (SPADCALL |p| (QREFELT |$| 42))) (COND ((SPADCALL |p| (QREFELT |$| 24)) (SEQ (LETT |ps| NIL |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) (EXIT (LETT |rs| (LIST (|spadConstant| |$| 83)) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)))) ((QUOTE T) (SEQ (SPADCALL |p| (QREFELT |$| 84)) (EXIT (LETT |rs| (CONS |p| |rs|) |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|))))))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL |rs| (QREFELT |$| 85))))))))))))))
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-(DEFUN |PSETCAT-;rewriteIdealWithRemainder;LSL;27| (|ps| |cs| |$|) (PROG (|p| |rs|) (RETURN (SEQ (COND ((SPADCALL |cs| (QREFELT |$| 80)) |ps|) ((SPADCALL |cs| (QREFELT |$| 81)) (LIST (|spadConstant| |$| 82))) ((QUOTE T) (SEQ (LETT |ps| (SPADCALL (ELT |$| 42) |ps| (QREFELT |$| 26)) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (EXIT (COND ((NULL |ps|) |ps|) ((SPADCALL (ELT |$| 24) |ps| (QREFELT |$| 43)) (LIST (|spadConstant| |$| 83))) ((QUOTE T) (SEQ (LETT |rs| NIL |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (SEQ G190 (COND ((NULL (COND ((NULL |ps|) (QUOTE NIL)) ((QUOTE T) (QUOTE T)))) (GO G191))) (SEQ (LETT |p| (|SPADfirst| |ps|) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (LETT |ps| (CDR |ps|) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (LETT |p| (QVELT (SPADCALL |p| |cs| (QREFELT |$| 87)) 1) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (EXIT (COND ((NULL (SPADCALL |p| (QREFELT |$| 42))) (COND ((SPADCALL |p| (QREFELT |$| 24)) (SEQ (LETT |ps| NIL |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) (EXIT (LETT |rs| (LIST (|spadConstant| |$| 83)) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)))) ((QUOTE T) (LETT |rs| (CONS (SPADCALL |p| (QREFELT |$| 88)) |rs|) |PSETCAT-;rewriteIdealWithRemainder;LSL;27|))))))) NIL (GO G190) G191 (EXIT NIL)) (EXIT (SPADCALL |rs| (QREFELT |$| 85))))))))))))))
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-(DEFUN |PolynomialSetCategory&| (|#1| |#2| |#3| |#4| |#5|) (PROG (|DV$1| |DV$2| |DV$3| |DV$4| |DV$5| |dv$| |$| |pv$|) (RETURN (PROGN (LETT |DV$1| (|devaluate| |#1|) . #1=(|PolynomialSetCategory&|)) (LETT |DV$2| (|devaluate| |#2|) . #1#) (LETT |DV$3| (|devaluate| |#3|) . #1#) (LETT |DV$4| (|devaluate| |#4|) . #1#) (LETT |DV$5| (|devaluate| |#5|) . #1#) (LETT |dv$| (LIST (QUOTE |PolynomialSetCategory&|) |DV$1| |DV$2| |DV$3| |DV$4| |DV$5|) . #1#) (LETT |$| (GETREFV 90) . #1#) (QSETREFV |$| 0 |dv$|) (QSETREFV |$| 3 (LETT |pv$| (|buildPredVector| 0 0 (LIST (|HasCategory| |#2| (QUOTE (|IntegralDomain|))))) . #1#)) (|stuffDomainSlots| |$|) (QSETREFV |$| 6 |#1|) (QSETREFV |$| 7 |#2|) (QSETREFV |$| 8 |#3|) (QSETREFV |$| 9 |#4|) (QSETREFV |$| 10 |#5|) (COND ((|testBitVector| |pv$| 1) (PROGN (QSETREFV |$| 48 (CONS (|dispatchFunction| |PSETCAT-;roughUnitIdeal?;SB;16|) |$|)) (QSETREFV |$| 52 (CONS (|dispatchFunction| |PSETCAT-;roughBase?;SB;18|) |$|)) (QSETREFV |$| 54 (CONS (|dispatchFunction| |PSETCAT-;roughSubIdeal?;2SB;19|) |$|)) (QSETREFV |$| 57 (CONS (|dispatchFunction| |PSETCAT-;roughEqualIdeals?;2SB;20|) |$|))))) (COND ((|HasCategory| |#2| (QUOTE (|GcdDomain|))) (COND ((|HasCategory| |#4| (QUOTE (|ConvertibleTo| (|Symbol|)))) (PROGN (QSETREFV |$| 72 (CONS (|dispatchFunction| |PSETCAT-;headRemainder;PSR;23|) |$|)) (QSETREFV |$| 79 (CONS (|dispatchFunction| |PSETCAT-;remainder;PSR;25|) |$|)) (QSETREFV |$| 86 (CONS (|dispatchFunction| |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|) |$|)) (QSETREFV |$| 89 (CONS (|dispatchFunction| |PSETCAT-;rewriteIdealWithRemainder;LSL;27|) |$|))))))) |$|))))
-
-(MAKEPROP (QUOTE |PolynomialSetCategory&|) (QUOTE |infovec|) (LIST (QUOTE #(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|) (|local| |#3|) (|local| |#4|) (|local| |#5|) (|List| 10) (0 . |members|) (|List| 9) (5 . |variables|) (|Boolean|) (10 . |<|) (|List| |$|) (16 . |concat|) (21 . |removeDuplicates|) (|Mapping| 15 9 9) (26 . |sort|) (32 . |mvar|) |PSETCAT-;variables;SL;4| (37 . |ground?|) (|Mapping| 15 10) (42 . |remove|) |PSETCAT-;mainVariables;SL;5| (48 . |=|) |PSETCAT-;mainVariable?;VarSetSB;6| (54 . |construct|) |PSETCAT-;collectUnder;SVarSetS;7| |PSETCAT-;collectUpper;SVarSetS;8| |PSETCAT-;collect;SVarSetS;9| (|Record| (|:| |under| |$|) (|:| |floor| |$|) (|:| |upper| |$|)) |PSETCAT-;sort;SVarSetR;10| (|Set| 10) (59 . |brace|) (64 . |=|) |PSETCAT-;=;2SB;11| (70 . |degree|) (75 . |<|) (81 . |zero?|) (86 . |any?|) (|Mapping| 15 10 10) (92 . |sort|) |PSETCAT-;triangular?;SB;14| |PSETCAT-;trivialIdeal?;SB;15| (98 . |roughUnitIdeal?|) (103 . |sup|) (109 . |+|) (115 . |=|) (121 . |roughBase?|) (126 . |rewriteIdealWithRemainder|) (132 . |roughSubIdeal?|) (138 . |=|) (144 . |roughSubIdeal?|) (150 . |roughEqualIdeals?|) (156 . |quo|) (|Union| |$| (QUOTE "failed")) (162 . |exquo|) (168 . |One|) (172 . |reductum|) (177 . |subtractIfCan|) (183 . |leadingCoefficient|) (188 . |gcd|) (194 . |*|) (200 . |monomial|) (206 . |*|) (212 . |-|) (218 . |*|) (|Record| (|:| |num| 10) (|:| |den| 7)) (224 . |headRemainder|) (230 . |gcd|) (236 . |one?|) (241 . |exactQuotient!|) (247 . |headRemainder|) (253 . |+|) (|Record| (|:| |rnum| 7) (|:| |polnum| 10) (|:| |den| 7)) (259 . |remainder|) (265 . |trivialIdeal?|) (270 . |roughUnitIdeal?|) (275 . |Zero|) (279 . |One|) (283 . |primitivePart!|) (288 . |removeDuplicates|) (293 . |rewriteIdealWithHeadRemainder|) (299 . |remainder|) (305 . |unitCanonical|) (310 . |rewriteIdealWithRemainder|))) (QUOTE #(|variables| 316 |trivialIdeal?| 321 |triangular?| 326 |sort| 331 |roughUnitIdeal?| 337 |roughSubIdeal?| 342 |roughEqualIdeals?| 348 |roughBase?| 354 |rewriteIdealWithRemainder| 359 |rewriteIdealWithHeadRemainder| 365 |remainder| 371 |mainVariables| 377 |mainVariable?| 382 |headRemainder| 388 |collectUpper| 394 |collectUnder| 400 |collect| 406 |=| 412)) (QUOTE NIL) (CONS (|makeByteWordVec2| 1 (QUOTE NIL)) (CONS (QUOTE #()) (CONS (QUOTE #()) (|makeByteWordVec2| 89 (QUOTE (1 6 11 0 12 1 10 13 0 14 2 9 15 0 0 16 1 13 0 17 18 1 13 0 0 19 2 13 0 20 0 21 1 10 9 0 22 1 10 15 0 24 2 11 0 25 0 26 2 9 15 0 0 28 1 6 0 11 30 1 36 0 11 37 2 36 15 0 0 38 1 10 8 0 40 2 8 15 0 0 41 1 10 15 0 42 2 11 15 25 0 43 2 11 0 44 0 45 1 0 15 0 48 2 8 0 0 0 49 2 8 0 0 0 50 2 8 15 0 0 51 1 0 15 0 52 2 6 11 11 0 53 2 0 15 0 0 54 2 6 15 0 0 55 2 6 15 0 0 56 2 0 15 0 0 57 2 7 0 0 0 58 2 7 59 0 0 60 0 7 0 61 1 10 0 0 62 2 8 59 0 0 63 1 10 7 0 64 2 7 0 0 0 65 2 10 0 7 0 66 2 10 0 7 8 67 2 10 0 0 0 68 2 10 0 0 0 69 2 7 0 0 0 70 2 0 71 10 0 72 2 10 7 7 0 73 1 7 15 0 74 2 10 0 0 7 75 2 6 71 10 0 76 2 10 0 0 0 77 2 0 78 10 0 79 1 6 15 0 80 1 6 15 0 81 0 10 0 82 0 10 0 83 1 10 0 0 84 1 11 0 0 85 2 0 11 11 0 86 2 6 78 10 0 87 1 10 0 0 88 2 0 11 11 0 89 1 0 13 0 23 1 0 15 0 47 1 0 15 0 46 2 0 34 0 9 35 1 0 15 0 48 2 0 15 0 0 54 2 0 15 0 0 57 1 0 15 0 52 2 0 11 11 0 89 2 0 11 11 0 86 2 0 78 10 0 79 1 0 13 0 27 2 0 15 9 0 29 2 0 71 10 0 72 2 0 0 0 9 32 2 0 0 0 9 31 2 0 0 0 9 33 2 0 15 0 0 39)))))) (QUOTE |lookupComplete|)))
+(/VERSIONCHECK 2)
+
+(DEFUN |PSETCAT-;elements| (|ps| $)
+ (PROG (|lp|)
+ (RETURN
+ (LETT |lp| (SPADCALL |ps| (QREFELT $ 12)) |PSETCAT-;elements|))))
+
+(DEFUN |PSETCAT-;variables1| (|lp| $)
+ (PROG (#0=#:G1428 |p| #1=#:G1429 |lvars|)
+ (RETURN
+ (SEQ (LETT |lvars|
+ (PROGN
+ (LETT #0# NIL |PSETCAT-;variables1|)
+ (SEQ (LETT |p| NIL |PSETCAT-;variables1|)
+ (LETT #1# |lp| |PSETCAT-;variables1|) G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |p| (CAR #1#)
+ |PSETCAT-;variables1|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS (SPADCALL |p| (QREFELT $ 14))
+ #0#)
+ |PSETCAT-;variables1|)))
+ (LETT #1# (CDR #1#) |PSETCAT-;variables1|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ |PSETCAT-;variables1|)
+ (EXIT (SPADCALL (CONS #'|PSETCAT-;variables1!0| $)
+ (SPADCALL (SPADCALL |lvars| (QREFELT $ 18))
+ (QREFELT $ 19))
+ (QREFELT $ 21)))))))
+
+(DEFUN |PSETCAT-;variables1!0| (|#1| |#2| $)
+ (SPADCALL |#2| |#1| (QREFELT $ 16)))
+
+(DEFUN |PSETCAT-;variables2| (|lp| $)
+ (PROG (#0=#:G1433 |p| #1=#:G1434 |lvars|)
+ (RETURN
+ (SEQ (LETT |lvars|
+ (PROGN
+ (LETT #0# NIL |PSETCAT-;variables2|)
+ (SEQ (LETT |p| NIL |PSETCAT-;variables2|)
+ (LETT #1# |lp| |PSETCAT-;variables2|) G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |p| (CAR #1#)
+ |PSETCAT-;variables2|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS (SPADCALL |p| (QREFELT $ 22))
+ #0#)
+ |PSETCAT-;variables2|)))
+ (LETT #1# (CDR #1#) |PSETCAT-;variables2|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ |PSETCAT-;variables2|)
+ (EXIT (SPADCALL (CONS #'|PSETCAT-;variables2!0| $)
+ (SPADCALL |lvars| (QREFELT $ 19)) (QREFELT $ 21)))))))
+
+(DEFUN |PSETCAT-;variables2!0| (|#1| |#2| $)
+ (SPADCALL |#2| |#1| (QREFELT $ 16)))
+
+(DEFUN |PSETCAT-;variables;SL;4| (|ps| $)
+ (|PSETCAT-;variables1| (|PSETCAT-;elements| |ps| $) $))
+
+(DEFUN |PSETCAT-;mainVariables;SL;5| (|ps| $)
+ (|PSETCAT-;variables2|
+ (SPADCALL (ELT $ 24) (|PSETCAT-;elements| |ps| $) (QREFELT $ 26))
+ $))
+
+(DEFUN |PSETCAT-;mainVariable?;VarSetSB;6| (|v| |ps| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 24) (|PSETCAT-;elements| |ps| $)
+ (QREFELT $ 26))
+ |PSETCAT-;mainVariable?;VarSetSB;6|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 22))
+ |v| (QREFELT $ 28))
+ (QREFELT $ 29)))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |lp| (CDR |lp|)
+ |PSETCAT-;mainVariable?;VarSetSB;6|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL (NULL |lp|) (QREFELT $ 29)))))))
+
+(DEFUN |PSETCAT-;collectUnder;SVarSetS;7| (|ps| |v| $)
+ (PROG (|p| |lp| |lq|)
+ (RETURN
+ (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
+ |PSETCAT-;collectUnder;SVarSetS;7|)
+ (LETT |lq| NIL |PSETCAT-;collectUnder;SVarSetS;7|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|) (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;collectUnder;SVarSetS;7|)
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;collectUnder;SVarSetS;7|)
+ (EXIT (COND
+ ((OR (SPADCALL |p| (QREFELT $ 24))
+ (SPADCALL
+ (SPADCALL |p| (QREFELT $ 22)) |v|
+ (QREFELT $ 16)))
+ (LETT |lq| (CONS |p| |lq|)
+ |PSETCAT-;collectUnder;SVarSetS;7|)))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |lq| (QREFELT $ 31)))))))
+
+(DEFUN |PSETCAT-;collectUpper;SVarSetS;8| (|ps| |v| $)
+ (PROG (|p| |lp| |lq|)
+ (RETURN
+ (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
+ |PSETCAT-;collectUpper;SVarSetS;8|)
+ (LETT |lq| NIL |PSETCAT-;collectUpper;SVarSetS;8|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|) (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;collectUpper;SVarSetS;8|)
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;collectUpper;SVarSetS;8|)
+ (EXIT (COND
+ ((NULL (SPADCALL |p| (QREFELT $ 24)))
+ (COND
+ ((SPADCALL |v|
+ (SPADCALL |p| (QREFELT $ 22))
+ (QREFELT $ 16))
+ (LETT |lq| (CONS |p| |lq|)
+ |PSETCAT-;collectUpper;SVarSetS;8|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |lq| (QREFELT $ 31)))))))
+
+(DEFUN |PSETCAT-;collect;SVarSetS;9| (|ps| |v| $)
+ (PROG (|p| |lp| |lq|)
+ (RETURN
+ (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
+ |PSETCAT-;collect;SVarSetS;9|)
+ (LETT |lq| NIL |PSETCAT-;collect;SVarSetS;9|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|) (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;collect;SVarSetS;9|)
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;collect;SVarSetS;9|)
+ (EXIT (COND
+ ((NULL (SPADCALL |p| (QREFELT $ 24)))
+ (COND
+ ((SPADCALL
+ (SPADCALL |p| (QREFELT $ 22)) |v|
+ (QREFELT $ 28))
+ (LETT |lq| (CONS |p| |lq|)
+ |PSETCAT-;collect;SVarSetS;9|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |lq| (QREFELT $ 31)))))))
+
+(DEFUN |PSETCAT-;sort;SVarSetR;10| (|ps| |v| $)
+ (PROG (|p| |lp| |us| |vs| |ws|)
+ (RETURN
+ (SEQ (LETT |lp| (|PSETCAT-;elements| |ps| $)
+ |PSETCAT-;sort;SVarSetR;10|)
+ (LETT |us| NIL |PSETCAT-;sort;SVarSetR;10|)
+ (LETT |vs| NIL |PSETCAT-;sort;SVarSetR;10|)
+ (LETT |ws| NIL |PSETCAT-;sort;SVarSetR;10|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|) (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;sort;SVarSetR;10|)
+ (LETT |lp| (CDR |lp|) |PSETCAT-;sort;SVarSetR;10|)
+ (EXIT (COND
+ ((OR (SPADCALL |p| (QREFELT $ 24))
+ (SPADCALL
+ (SPADCALL |p| (QREFELT $ 22)) |v|
+ (QREFELT $ 16)))
+ (LETT |us| (CONS |p| |us|)
+ |PSETCAT-;sort;SVarSetR;10|))
+ ((SPADCALL (SPADCALL |p| (QREFELT $ 22))
+ |v| (QREFELT $ 28))
+ (LETT |vs| (CONS |p| |vs|)
+ |PSETCAT-;sort;SVarSetR;10|))
+ ('T
+ (LETT |ws| (CONS |p| |ws|)
+ |PSETCAT-;sort;SVarSetR;10|)))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (VECTOR (SPADCALL |us| (QREFELT $ 31))
+ (SPADCALL |vs| (QREFELT $ 31))
+ (SPADCALL |ws| (QREFELT $ 31))))))))
+
+(DEFUN |PSETCAT-;=;2SB;11| (|ps1| |ps2| $)
+ (PROG (#0=#:G1468 #1=#:G1469 #2=#:G1470 |p| #3=#:G1471)
+ (RETURN
+ (SEQ (SPADCALL
+ (SPADCALL
+ (PROGN
+ (LETT #0# NIL |PSETCAT-;=;2SB;11|)
+ (SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|)
+ (LETT #1# (|PSETCAT-;elements| |ps1| $)
+ |PSETCAT-;=;2SB;11|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |p| (CAR #1#)
+ |PSETCAT-;=;2SB;11|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0# (CONS |p| #0#)
+ |PSETCAT-;=;2SB;11|)))
+ (LETT #1# (CDR #1#) |PSETCAT-;=;2SB;11|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 38))
+ (SPADCALL
+ (PROGN
+ (LETT #2# NIL |PSETCAT-;=;2SB;11|)
+ (SEQ (LETT |p| NIL |PSETCAT-;=;2SB;11|)
+ (LETT #3# (|PSETCAT-;elements| |ps2| $)
+ |PSETCAT-;=;2SB;11|)
+ G190
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |p| (CAR #3#)
+ |PSETCAT-;=;2SB;11|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #2# (CONS |p| #2#)
+ |PSETCAT-;=;2SB;11|)))
+ (LETT #3# (CDR #3#) |PSETCAT-;=;2SB;11|)
+ (GO G190) G191 (EXIT (NREVERSE0 #2#))))
+ (QREFELT $ 38))
+ (QREFELT $ 39))))))
+
+(DEFUN |PSETCAT-;localInf?| (|p| |q| $)
+ (SPADCALL (SPADCALL |p| (QREFELT $ 41)) (SPADCALL |q| (QREFELT $ 41))
+ (QREFELT $ 42)))
+
+(DEFUN |PSETCAT-;localTriangular?| (|lp| $)
+ (PROG (|q| |p|)
+ (RETURN
+ (SEQ (LETT |lp| (SPADCALL (ELT $ 43) |lp| (QREFELT $ 26))
+ |PSETCAT-;localTriangular?|)
+ (EXIT (COND
+ ((NULL |lp|) 'T)
+ ((SPADCALL (ELT $ 24) |lp| (QREFELT $ 44)) 'NIL)
+ ('T
+ (SEQ (LETT |lp|
+ (SPADCALL
+ (CONS
+ #'|PSETCAT-;localTriangular?!0| $)
+ |lp| (QREFELT $ 46))
+ |PSETCAT-;localTriangular?|)
+ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;localTriangular?|)
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;localTriangular?|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (LETT |q|
+ (|SPADfirst| |lp|)
+ |PSETCAT-;localTriangular?|)
+ (QREFELT $ 22))
+ (SPADCALL |p|
+ (QREFELT $ 22))
+ (QREFELT $ 16)))))
+ (GO G191)))
+ (SEQ (LETT |p| |q|
+ |PSETCAT-;localTriangular?|)
+ (EXIT
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;localTriangular?|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (NULL |lp|))))))))))
+
+(DEFUN |PSETCAT-;localTriangular?!0| (|#1| |#2| $)
+ (SPADCALL (SPADCALL |#2| (QREFELT $ 22))
+ (SPADCALL |#1| (QREFELT $ 22)) (QREFELT $ 16)))
+
+(DEFUN |PSETCAT-;triangular?;SB;14| (|ps| $)
+ (|PSETCAT-;localTriangular?| (|PSETCAT-;elements| |ps| $) $))
+
+(DEFUN |PSETCAT-;trivialIdeal?;SB;15| (|ps| $)
+ (NULL (SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
+ (QREFELT $ 26))))
+
+(DEFUN |PSETCAT-;roughUnitIdeal?;SB;16| (|ps| $)
+ (SPADCALL (ELT $ 24)
+ (SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $) (QREFELT $ 26))
+ (QREFELT $ 44)))
+
+(DEFUN |PSETCAT-;relativelyPrimeLeadingMonomials?| (|p| |q| $)
+ (PROG (|dp| |dq|)
+ (RETURN
+ (SEQ (LETT |dp| (SPADCALL |p| (QREFELT $ 41))
+ |PSETCAT-;relativelyPrimeLeadingMonomials?|)
+ (LETT |dq| (SPADCALL |q| (QREFELT $ 41))
+ |PSETCAT-;relativelyPrimeLeadingMonomials?|)
+ (EXIT (SPADCALL (SPADCALL |dp| |dq| (QREFELT $ 50))
+ (SPADCALL |dp| |dq| (QREFELT $ 51))
+ (QREFELT $ 52)))))))
+
+(DEFUN |PSETCAT-;roughBase?;SB;18| (|ps| $)
+ (PROG (|p| |lp| |rB?| |copylp|)
+ (RETURN
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
+ (QREFELT $ 26))
+ |PSETCAT-;roughBase?;SB;18|)
+ (EXIT (COND
+ ((NULL |lp|) 'T)
+ ('T
+ (SEQ (LETT |rB?| 'T |PSETCAT-;roughBase?;SB;18|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T |rB?|)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |PSETCAT-;roughBase?;SB;18|)
+ (LETT |lp| (CDR |lp|)
+ |PSETCAT-;roughBase?;SB;18|)
+ (LETT |copylp| |lp|
+ |PSETCAT-;roughBase?;SB;18|)
+ (EXIT
+ (SEQ G190
+ (COND
+ ((NULL
+ (COND
+ ((NULL |copylp|) 'NIL)
+ ('T |rB?|)))
+ (GO G191)))
+ (SEQ
+ (LETT |rB?|
+ (|PSETCAT-;relativelyPrimeLeadingMonomials?|
+ |p| (|SPADfirst| |copylp|) $)
+ |PSETCAT-;roughBase?;SB;18|)
+ (EXIT
+ (LETT |copylp| (CDR |copylp|)
+ |PSETCAT-;roughBase?;SB;18|)))
+ NIL (GO G190) G191 (EXIT NIL))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |rB?|)))))))))
+
+(DEFUN |PSETCAT-;roughSubIdeal?;2SB;19| (|ps1| |ps2| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (LETT |lp|
+ (SPADCALL (|PSETCAT-;elements| |ps1| $) |ps2|
+ (QREFELT $ 54))
+ |PSETCAT-;roughSubIdeal?;2SB;19|)
+ (EXIT (NULL (SPADCALL (ELT $ 43) |lp| (QREFELT $ 26))))))))
+
+(DEFUN |PSETCAT-;roughEqualIdeals?;2SB;20| (|ps1| |ps2| $)
+ (COND
+ ((SPADCALL |ps1| |ps2| (QREFELT $ 56)) 'T)
+ ((SPADCALL |ps1| |ps2| (QREFELT $ 57))
+ (SPADCALL |ps2| |ps1| (QREFELT $ 57)))
+ ('T 'NIL)))
+
+(DEFUN |PSETCAT-;exactQuo| (|r| |s| $)
+ (SPADCALL |r| |s| (QREFELT $ 59)))
+
+(DEFUN |PSETCAT-;exactQuo| (|r| |s| $)
+ (PROG (#0=#:G1504)
+ (RETURN
+ (PROG2 (LETT #0# (SPADCALL |r| |s| (QREFELT $ 61))
+ |PSETCAT-;exactQuo|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 7) #0#)))))
+
+(DEFUN |PSETCAT-;headRemainder;PSR;23| (|a| |ps| $)
+ (PROG (|lp1| |p| |e| |g| |#G47| |#G48| |lca| |lcp| |r| |lp2|)
+ (RETURN
+ (SEQ (LETT |lp1|
+ (SPADCALL (ELT $ 43) (|PSETCAT-;elements| |ps| $)
+ (QREFELT $ 26))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (EXIT (COND
+ ((NULL |lp1|) (CONS |a| (|spadConstant| $ 62)))
+ ((SPADCALL (ELT $ 24) |lp1| (QREFELT $ 44))
+ (CONS (SPADCALL |a| (QREFELT $ 63))
+ (|spadConstant| $ 62)))
+ ('T
+ (SEQ (LETT |r| (|spadConstant| $ 62)
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |lp1|
+ (SPADCALL
+ (CONS
+ (|function| |PSETCAT-;localInf?|)
+ $)
+ (REVERSE
+ (|PSETCAT-;elements| |ps| $))
+ (QREFELT $ 46))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |lp2| |lp1|
+ |PSETCAT-;headRemainder;PSR;23|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((SPADCALL |a| (QREFELT $ 43))
+ 'NIL)
+ ('T
+ (SPADCALL (NULL |lp2|)
+ (QREFELT $ 29)))))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp2|)
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |e|
+ (SPADCALL
+ (SPADCALL |a| (QREFELT $ 41))
+ (SPADCALL |p| (QREFELT $ 41))
+ (QREFELT $ 64))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (EXIT
+ (COND
+ ((QEQCAR |e| 0)
+ (SEQ
+ (LETT |g|
+ (SPADCALL
+ (LETT |lca|
+ (SPADCALL |a|
+ (QREFELT $ 65))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |lcp|
+ (SPADCALL |p|
+ (QREFELT $ 65))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (QREFELT $ 66))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (PROGN
+ (LETT |#G47|
+ (|PSETCAT-;exactQuo| |lca|
+ |g| $)
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |#G48|
+ (|PSETCAT-;exactQuo| |lcp|
+ |g| $)
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |lca| |#G47|
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |lcp| |#G48|
+ |PSETCAT-;headRemainder;PSR;23|))
+ (LETT |a|
+ (SPADCALL
+ (SPADCALL |lcp|
+ (SPADCALL |a|
+ (QREFELT $ 63))
+ (QREFELT $ 67))
+ (SPADCALL
+ (SPADCALL |lca| (QCDR |e|)
+ (QREFELT $ 68))
+ (SPADCALL |p|
+ (QREFELT $ 63))
+ (QREFELT $ 69))
+ (QREFELT $ 70))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (LETT |r|
+ (SPADCALL |r| |lcp|
+ (QREFELT $ 71))
+ |PSETCAT-;headRemainder;PSR;23|)
+ (EXIT
+ (LETT |lp2| |lp1|
+ |PSETCAT-;headRemainder;PSR;23|))))
+ ('T
+ (LETT |lp2| (CDR |lp2|)
+ |PSETCAT-;headRemainder;PSR;23|)))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (CONS |a| |r|))))))))))
+
+(DEFUN |PSETCAT-;makeIrreducible!| (|frac| $)
+ (PROG (|g|)
+ (RETURN
+ (SEQ (LETT |g|
+ (SPADCALL (QCDR |frac|) (QCAR |frac|) (QREFELT $ 74))
+ |PSETCAT-;makeIrreducible!|)
+ (EXIT (COND
+ ((SPADCALL |g| (|spadConstant| $ 62) (QREFELT $ 76))
+ |frac|)
+ ('T
+ (SEQ (PROGN
+ (RPLACA |frac|
+ (SPADCALL (QCAR |frac|) |g|
+ (QREFELT $ 77)))
+ (QCAR |frac|))
+ (PROGN
+ (RPLACD |frac|
+ (|PSETCAT-;exactQuo| (QCDR |frac|)
+ |g| $))
+ (QCDR |frac|))
+ (EXIT |frac|)))))))))
+
+(DEFUN |PSETCAT-;remainder;PSR;25| (|a| |ps| $)
+ (PROG (|hRa| |r| |lca| |g| |b| |c|)
+ (RETURN
+ (SEQ (LETT |hRa|
+ (|PSETCAT-;makeIrreducible!|
+ (SPADCALL |a| |ps| (QREFELT $ 78)) $)
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |a| (QCAR |hRa|) |PSETCAT-;remainder;PSR;25|)
+ (LETT |r| (QCDR |hRa|) |PSETCAT-;remainder;PSR;25|)
+ (EXIT (COND
+ ((SPADCALL |a| (QREFELT $ 43))
+ (VECTOR (|spadConstant| $ 62) |a| |r|))
+ ('T
+ (SEQ (LETT |b|
+ (SPADCALL (|spadConstant| $ 62)
+ (SPADCALL |a| (QREFELT $ 41))
+ (QREFELT $ 68))
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |c| (SPADCALL |a| (QREFELT $ 65))
+ |PSETCAT-;remainder;PSR;25|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL
+ (LETT |a|
+ (SPADCALL |a| (QREFELT $ 63))
+ |PSETCAT-;remainder;PSR;25|)
+ (QREFELT $ 43))
+ (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ (LETT |hRa|
+ (|PSETCAT-;makeIrreducible!|
+ (SPADCALL |a| |ps| (QREFELT $ 78))
+ $)
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |a| (QCAR |hRa|)
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |r|
+ (SPADCALL |r| (QCDR |hRa|)
+ (QREFELT $ 71))
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |g|
+ (SPADCALL |c|
+ (LETT |lca|
+ (SPADCALL |a| (QREFELT $ 65))
+ |PSETCAT-;remainder;PSR;25|)
+ (QREFELT $ 66))
+ |PSETCAT-;remainder;PSR;25|)
+ (LETT |b|
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL (QCDR |hRa|)
+ (|PSETCAT-;exactQuo| |c| |g| $)
+ (QREFELT $ 71))
+ |b| (QREFELT $ 67))
+ (SPADCALL
+ (|PSETCAT-;exactQuo| |lca| |g| $)
+ (SPADCALL |a| (QREFELT $ 41))
+ (QREFELT $ 68))
+ (QREFELT $ 79))
+ |PSETCAT-;remainder;PSR;25|)
+ (EXIT
+ (LETT |c| |g|
+ |PSETCAT-;remainder;PSR;25|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (VECTOR |c| |b| |r|))))))))))
+
+(DEFUN |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26| (|ps| |cs| $)
+ (PROG (|p| |rs|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |cs| (QREFELT $ 82)) |ps|)
+ ((SPADCALL |cs| (QREFELT $ 83))
+ (LIST (|spadConstant| $ 84)))
+ ('T
+ (SEQ (LETT |ps| (SPADCALL (ELT $ 43) |ps| (QREFELT $ 26))
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (EXIT (COND
+ ((NULL |ps|) |ps|)
+ ((SPADCALL (ELT $ 24) |ps| (QREFELT $ 44))
+ (LIST (|spadConstant| $ 75)))
+ ('T
+ (SEQ (LETT |rs| NIL
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (SEQ G190
+ (COND
+ ((NULL
+ (SPADCALL (NULL |ps|)
+ (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ
+ (LETT |p| (|SPADfirst| |ps|)
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (LETT |ps| (CDR |ps|)
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (LETT |p|
+ (QCAR
+ (SPADCALL |p| |cs|
+ (QREFELT $ 78)))
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (EXIT
+ (COND
+ ((NULL
+ (SPADCALL |p|
+ (QREFELT $ 43)))
+ (COND
+ ((SPADCALL |p|
+ (QREFELT $ 24))
+ (SEQ
+ (LETT |ps| NIL
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ (EXIT
+ (LETT |rs|
+ (LIST
+ (|spadConstant| $ 75))
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|))))
+ ('T
+ (SEQ
+ (SPADCALL |p|
+ (QREFELT $ 85))
+ (EXIT
+ (LETT |rs|
+ (CONS |p| |rs|)
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)))))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |rs| (QREFELT $ 86))))))))))))))
+
+(DEFUN |PSETCAT-;rewriteIdealWithRemainder;LSL;27| (|ps| |cs| $)
+ (PROG (|p| |rs|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |cs| (QREFELT $ 82)) |ps|)
+ ((SPADCALL |cs| (QREFELT $ 83))
+ (LIST (|spadConstant| $ 84)))
+ ('T
+ (SEQ (LETT |ps| (SPADCALL (ELT $ 43) |ps| (QREFELT $ 26))
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (EXIT (COND
+ ((NULL |ps|) |ps|)
+ ((SPADCALL (ELT $ 24) |ps| (QREFELT $ 44))
+ (LIST (|spadConstant| $ 75)))
+ ('T
+ (SEQ (LETT |rs| NIL
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (SEQ G190
+ (COND
+ ((NULL
+ (SPADCALL (NULL |ps|)
+ (QREFELT $ 29)))
+ (GO G191)))
+ (SEQ
+ (LETT |p| (|SPADfirst| |ps|)
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (LETT |ps| (CDR |ps|)
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (LETT |p|
+ (QVELT
+ (SPADCALL |p| |cs|
+ (QREFELT $ 88))
+ 1)
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (EXIT
+ (COND
+ ((NULL
+ (SPADCALL |p|
+ (QREFELT $ 43)))
+ (COND
+ ((SPADCALL |p|
+ (QREFELT $ 24))
+ (SEQ
+ (LETT |ps| NIL
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ (EXIT
+ (LETT |rs|
+ (LIST
+ (|spadConstant| $ 75))
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|))))
+ ('T
+ (LETT |rs|
+ (CONS
+ (SPADCALL |p|
+ (QREFELT $ 89))
+ |rs|)
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |rs| (QREFELT $ 86))))))))))))))
+
+(DEFUN |PolynomialSetCategory&| (|#1| |#2| |#3| |#4| |#5|)
+ (PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$5| |dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$1| (|devaluate| |#1|)
+ . #0=(|PolynomialSetCategory&|))
+ (LETT |dv$2| (|devaluate| |#2|) . #0#)
+ (LETT |dv$3| (|devaluate| |#3|) . #0#)
+ (LETT |dv$4| (|devaluate| |#4|) . #0#)
+ (LETT |dv$5| (|devaluate| |#5|) . #0#)
+ (LETT |dv$|
+ (LIST '|PolynomialSetCategory&| |dv$1| |dv$2| |dv$3|
+ |dv$4| |dv$5|) . #0#)
+ (LETT $ (GETREFV 91) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3
+ (LETT |pv$|
+ (|buildPredVector| 0 0
+ (LIST (|HasCategory| |#2| '(|IntegralDomain|)))) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ (QSETREFV $ 7 |#2|)
+ (QSETREFV $ 8 |#3|)
+ (QSETREFV $ 9 |#4|)
+ (QSETREFV $ 10 |#5|)
+ (COND
+ ((|testBitVector| |pv$| 1)
+ (PROGN
+ (QSETREFV $ 49
+ (CONS (|dispatchFunction|
+ |PSETCAT-;roughUnitIdeal?;SB;16|)
+ $))
+ (QSETREFV $ 53
+ (CONS (|dispatchFunction| |PSETCAT-;roughBase?;SB;18|)
+ $))
+ (QSETREFV $ 55
+ (CONS (|dispatchFunction|
+ |PSETCAT-;roughSubIdeal?;2SB;19|)
+ $))
+ (QSETREFV $ 58
+ (CONS (|dispatchFunction|
+ |PSETCAT-;roughEqualIdeals?;2SB;20|)
+ $)))))
+ (COND
+ ((|HasCategory| |#2| '(|GcdDomain|))
+ (COND
+ ((|HasCategory| |#4| '(|ConvertibleTo| (|Symbol|)))
+ (PROGN
+ (QSETREFV $ 73
+ (CONS (|dispatchFunction|
+ |PSETCAT-;headRemainder;PSR;23|)
+ $))
+ (QSETREFV $ 81
+ (CONS (|dispatchFunction|
+ |PSETCAT-;remainder;PSR;25|)
+ $))
+ (QSETREFV $ 87
+ (CONS (|dispatchFunction|
+ |PSETCAT-;rewriteIdealWithHeadRemainder;LSL;26|)
+ $))
+ (QSETREFV $ 90
+ (CONS (|dispatchFunction|
+ |PSETCAT-;rewriteIdealWithRemainder;LSL;27|)
+ $)))))))
+ $))))
+
+(MAKEPROP '|PolynomialSetCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
+ (|local| |#3|) (|local| |#4|) (|local| |#5|) (|List| 10)
+ (0 . |members|) (|List| 9) (5 . |variables|) (|Boolean|)
+ (10 . <) (|List| $) (16 . |concat|)
+ (21 . |removeDuplicates|) (|Mapping| 15 9 9) (26 . |sort|)
+ (32 . |mvar|) |PSETCAT-;variables;SL;4| (37 . |ground?|)
+ (|Mapping| 15 10) (42 . |remove|)
+ |PSETCAT-;mainVariables;SL;5| (48 . =) (54 . |not|)
+ |PSETCAT-;mainVariable?;VarSetSB;6| (59 . |construct|)
+ |PSETCAT-;collectUnder;SVarSetS;7|
+ |PSETCAT-;collectUpper;SVarSetS;8|
+ |PSETCAT-;collect;SVarSetS;9|
+ (|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $))
+ |PSETCAT-;sort;SVarSetR;10| (|Set| 10) (64 . |brace|)
+ (69 . =) |PSETCAT-;=;2SB;11| (75 . |degree|) (80 . <)
+ (86 . |zero?|) (91 . |any?|) (|Mapping| 15 10 10)
+ (97 . |sort|) |PSETCAT-;triangular?;SB;14|
+ |PSETCAT-;trivialIdeal?;SB;15| (103 . |roughUnitIdeal?|)
+ (108 . |sup|) (114 . +) (120 . =) (126 . |roughBase?|)
+ (131 . |rewriteIdealWithRemainder|)
+ (137 . |roughSubIdeal?|) (143 . =)
+ (149 . |roughSubIdeal?|) (155 . |roughEqualIdeals?|)
+ (161 . |quo|) (|Union| $ '"failed") (167 . |exquo|)
+ (173 . |One|) (177 . |reductum|) (182 . |subtractIfCan|)
+ (188 . |leadingCoefficient|) (193 . |gcd|) (199 . *)
+ (205 . |monomial|) (211 . *) (217 . -) (223 . *)
+ (|Record| (|:| |num| 10) (|:| |den| 7))
+ (229 . |headRemainder|) (235 . |gcd|) (241 . |One|)
+ (245 . =) (251 . |exactQuotient!|) (257 . |headRemainder|)
+ (263 . +)
+ (|Record| (|:| |rnum| 7) (|:| |polnum| 10) (|:| |den| 7))
+ (269 . |remainder|) (275 . |trivialIdeal?|)
+ (280 . |roughUnitIdeal?|) (285 . |Zero|)
+ (289 . |primitivePart!|) (294 . |removeDuplicates|)
+ (299 . |rewriteIdealWithHeadRemainder|)
+ (305 . |remainder|) (311 . |unitCanonical|)
+ (316 . |rewriteIdealWithRemainder|))
+ '#(|variables| 322 |trivialIdeal?| 327 |triangular?| 332
+ |sort| 337 |roughUnitIdeal?| 343 |roughSubIdeal?| 348
+ |roughEqualIdeals?| 354 |roughBase?| 360
+ |rewriteIdealWithRemainder| 365
+ |rewriteIdealWithHeadRemainder| 371 |remainder| 377
+ |mainVariables| 383 |mainVariable?| 388 |headRemainder|
+ 394 |collectUpper| 400 |collectUnder| 406 |collect| 412 =
+ 418)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 90
+ '(1 6 11 0 12 1 10 13 0 14 2 9 15 0 0
+ 16 1 13 0 17 18 1 13 0 0 19 2 13 0 20
+ 0 21 1 10 9 0 22 1 10 15 0 24 2 11 0
+ 25 0 26 2 9 15 0 0 28 1 15 0 0 29 1 6
+ 0 11 31 1 37 0 11 38 2 37 15 0 0 39 1
+ 10 8 0 41 2 8 15 0 0 42 1 10 15 0 43
+ 2 11 15 25 0 44 2 11 0 45 0 46 1 0 15
+ 0 49 2 8 0 0 0 50 2 8 0 0 0 51 2 8 15
+ 0 0 52 1 0 15 0 53 2 6 11 11 0 54 2 0
+ 15 0 0 55 2 6 15 0 0 56 2 6 15 0 0 57
+ 2 0 15 0 0 58 2 7 0 0 0 59 2 7 60 0 0
+ 61 0 7 0 62 1 10 0 0 63 2 8 60 0 0 64
+ 1 10 7 0 65 2 7 0 0 0 66 2 10 0 7 0
+ 67 2 10 0 7 8 68 2 10 0 0 0 69 2 10 0
+ 0 0 70 2 7 0 0 0 71 2 0 72 10 0 73 2
+ 10 7 7 0 74 0 10 0 75 2 7 15 0 0 76 2
+ 10 0 0 7 77 2 6 72 10 0 78 2 10 0 0 0
+ 79 2 0 80 10 0 81 1 6 15 0 82 1 6 15
+ 0 83 0 10 0 84 1 10 0 0 85 1 11 0 0
+ 86 2 0 11 11 0 87 2 6 80 10 0 88 1 10
+ 0 0 89 2 0 11 11 0 90 1 0 13 0 23 1 0
+ 15 0 48 1 0 15 0 47 2 0 35 0 9 36 1 0
+ 15 0 49 2 0 15 0 0 55 2 0 15 0 0 58 1
+ 0 15 0 53 2 0 11 11 0 90 2 0 11 11 0
+ 87 2 0 80 10 0 81 1 0 13 0 27 2 0 15
+ 9 0 30 2 0 72 10 0 73 2 0 0 0 9 33 2
+ 0 0 0 9 32 2 0 0 0 9 34 2 0 15 0 0
+ 40)))))
+ '|lookupComplete|))
@
\section{domain GPOLSET GeneralPolynomialSet}
<<domain GPOLSET GeneralPolynomialSet>>=
diff --git a/src/algebra/polycat.spad.pamphlet b/src/algebra/polycat.spad.pamphlet
index 01cbbccc..bb940038 100644
--- a/src/algebra/polycat.spad.pamphlet
+++ b/src/algebra/polycat.spad.pamphlet
@@ -617,172 +617,243 @@ Note that this code is not included in the generated catdef.spad file.
<<POLYCAT.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(SETQ |PolynomialCategory;CAT| (QUOTE NIL))
-
-(SETQ |PolynomialCategory;AL| (QUOTE NIL))
-
-(DEFUN |PolynomialCategory| (|&REST| #1=#:G101841 |&AUX| #2=#:G101839)
- (DSETQ #2# #1#)
- (LET (#3=#:G101840)
- (COND
- ((SETQ #3# (|assoc| (|devaluateList| #2#) |PolynomialCategory;AL|))
- (CDR #3#))
- (T
- (SETQ |PolynomialCategory;AL|
- (|cons5|
- (CONS
- (|devaluateList| #2#)
- (SETQ #3# (APPLY (FUNCTION |PolynomialCategory;|) #2#)))
- |PolynomialCategory;AL|))
- #3#))))
-
-(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|)
- (PROG (#1=#:G101838)
- (RETURN
- (PROG1
- (LETT #1#
- (|sublisV|
- (PAIR
- (QUOTE (|t#1| |t#2| |t#3|))
- (LIST
- (|devaluate| |t#1|)
- (|devaluate| |t#2|)
- (|devaluate| |t#3|)))
- (COND
- (|PolynomialCategory;CAT|)
- ((QUOTE T)
- (LETT |PolynomialCategory;CAT|
- (|Join|
- (|PartialDifferentialRing| (QUOTE |t#3|))
- (|FiniteAbelianMonoidRing| (QUOTE |t#1|) (QUOTE |t#2|))
- (|Evalable| (QUOTE |$|))
- (|InnerEvalable| (QUOTE |t#3|) (QUOTE |t#1|))
- (|InnerEvalable| (QUOTE |t#3|) (QUOTE |$|))
- (|RetractableTo| (QUOTE |t#3|))
- (|FullyLinearlyExplicitRingOver| (QUOTE |t#1|))
- (|mkCategory|
- (QUOTE |domain|)
- (QUOTE (
- ((|degree| ((|NonNegativeInteger|) |$| |t#3|)) T)
- ((|degree|
- ((|List| (|NonNegativeInteger|))
- |$|
- (|List| |t#3|))) T)
- ((|coefficient|
- (|$| |$| |t#3| (|NonNegativeInteger|))) T)
- ((|coefficient|
- (|$|
- |$|
- (|List| |t#3|)
- (|List| (|NonNegativeInteger|)))) T)
- ((|monomials| ((|List| |$|) |$|)) T)
- ((|univariate|
- ((|SparseUnivariatePolynomial| |$|) |$| |t#3|)) T)
- ((|univariate|
- ((|SparseUnivariatePolynomial| |t#1|) |$|)) T)
- ((|mainVariable| ((|Union| |t#3| "failed") |$|)) T)
- ((|minimumDegree|
- ((|NonNegativeInteger|) |$| |t#3|)) T)
- ((|minimumDegree|
- ((|List| (|NonNegativeInteger|))
- |$|
- (|List| |t#3|))) T)
- ((|monicDivide|
- ((|Record|
- (|:| |quotient| |$|)
- (|:| |remainder| |$|))
- |$|
- |$|
- |t#3|)) T)
- ((|monomial| (|$| |$| |t#3| (|NonNegativeInteger|))) T)
- ((|monomial|
- (|$|
- |$|
- (|List| |t#3|)
- (|List| (|NonNegativeInteger|)))) T)
- ((|multivariate|
- (|$| (|SparseUnivariatePolynomial| |t#1|) |t#3|)) T)
- ((|multivariate|
- (|$| (|SparseUnivariatePolynomial| |$|) |t#3|)) T)
- ((|isPlus| ((|Union| (|List| |$|) "failed") |$|)) T)
- ((|isTimes| ((|Union| (|List| |$|) "failed") |$|)) T)
- ((|isExpt|
- ((|Union|
- (|Record|
- (|:| |var| |t#3|)
- (|:| |exponent| (|NonNegativeInteger|)))
- "failed")
- |$|)) T)
- ((|totalDegree| ((|NonNegativeInteger|) |$|)) T)
- ((|totalDegree|
- ((|NonNegativeInteger|) |$| (|List| |t#3|))) T)
- ((|variables| ((|List| |t#3|) |$|)) T)
- ((|primitiveMonomials| ((|List| |$|) |$|)) T)
- ((|resultant| (|$| |$| |$| |t#3|))
- (|has| |t#1| (|CommutativeRing|)))
- ((|discriminant| (|$| |$| |t#3|))
- (|has| |t#1| (|CommutativeRing|)))
- ((|content| (|$| |$| |t#3|))
- (|has| |t#1| (|GcdDomain|)))
- ((|primitivePart| (|$| |$|))
- (|has| |t#1| (|GcdDomain|)))
- ((|primitivePart| (|$| |$| |t#3|))
- (|has| |t#1| (|GcdDomain|)))
- ((|squareFree| ((|Factored| |$|) |$|))
- (|has| |t#1| (|GcdDomain|)))
- ((|squareFreePart| (|$| |$|)) (
- |has| |t#1| (|GcdDomain|)))))
- (QUOTE (
- ((|OrderedSet|) (|has| |t#1| (|OrderedSet|)))
- ((|ConvertibleTo| (|InputForm|))
- (AND
- (|has| |t#3| (|ConvertibleTo| (|InputForm|)))
- (|has| |t#1| (|ConvertibleTo| (|InputForm|)))))
- ((|ConvertibleTo| (|Pattern| (|Integer|)))
- (AND
- (|has| |t#3|
- (|ConvertibleTo| (|Pattern| (|Integer|))))
- (|has| |t#1|
- (|ConvertibleTo| (|Pattern| (|Integer|))))))
- ((|ConvertibleTo| (|Pattern| (|Float|)))
- (AND
- (|has| |t#3|
- (|ConvertibleTo| (|Pattern| (|Float|))))
- (|has| |t#1|
- (|ConvertibleTo| (|Pattern| (|Float|))))))
- ((|PatternMatchable| (|Integer|))
- (AND
- (|has| |t#3| (|PatternMatchable| (|Integer|)))
- (|has| |t#1| (|PatternMatchable| (|Integer|)))))
- ((|PatternMatchable| (|Float|))
- (AND
- (|has| |t#3| (|PatternMatchable| (|Float|)))
- (|has| |t#1| (|PatternMatchable| (|Float|)))))
- ((|GcdDomain|) (|has| |t#1| (|GcdDomain|)))
- (|canonicalUnitNormal|
- (|has| |t#1| (ATTRIBUTE |canonicalUnitNormal|)))
- ((|PolynomialFactorizationExplicit|)
- (|has| |t#1| (|PolynomialFactorizationExplicit|)))))
- (QUOTE (
- (|Factored| |$|)
- (|List| |$|)
- (|List| |t#3|)
- (|NonNegativeInteger|)
- (|SparseUnivariatePolynomial| |$|)
- (|SparseUnivariatePolynomial| |t#1|)
- (|List| (|NonNegativeInteger|))))
- NIL))
- . #2=(|PolynomialCategory|)))))
- . #2#)
- (SETELT #1# 0
- (LIST
- (QUOTE |PolynomialCategory|)
- (|devaluate| |t#1|)
- (|devaluate| |t#2|)
- (|devaluate| |t#3|)))))))
+(/VERSIONCHECK 2)
+
+(DEFPARAMETER |PolynomialCategory;CAT| 'NIL)
+
+(DEFPARAMETER |PolynomialCategory;AL| 'NIL)
+
+(DEFUN |PolynomialCategory| (&REST #0=#:G1406 &AUX #1=#:G1404)
+ (DSETQ #1# #0#)
+ (LET (#2=#:G1405)
+ (COND
+ ((SETQ #2#
+ (|assoc| (|devaluateList| #1#) |PolynomialCategory;AL|))
+ (CDR #2#))
+ (T (SETQ |PolynomialCategory;AL|
+ (|cons5| (CONS (|devaluateList| #1#)
+ (SETQ #2#
+ (APPLY #'|PolynomialCategory;| #1#)))
+ |PolynomialCategory;AL|))
+ #2#))))
+(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|)
+ (PROG (#0=#:G1403)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|sublisV|
+ (PAIR '(|t#1| |t#2| |t#3|)
+ (LIST (|devaluate| |t#1|)
+ (|devaluate| |t#2|)
+ (|devaluate| |t#3|)))
+ (COND
+ (|PolynomialCategory;CAT|)
+ ('T
+ (LETT |PolynomialCategory;CAT|
+ (|Join| (|PartialDifferentialRing|
+ '|t#3|)
+ (|FiniteAbelianMonoidRing|
+ '|t#1| '|t#2|)
+ (|Evalable| '$)
+ (|InnerEvalable| '|t#3| '|t#1|)
+ (|InnerEvalable| '|t#3| '$)
+ (|RetractableTo| '|t#3|)
+ (|FullyLinearlyExplicitRingOver|
+ '|t#1|)
+ (|mkCategory| '|domain|
+ '(((|degree|
+ ((|NonNegativeInteger|) $
+ |t#3|))
+ T)
+ ((|degree|
+ ((|List|
+ (|NonNegativeInteger|))
+ $ (|List| |t#3|)))
+ T)
+ ((|coefficient|
+ ($ $ |t#3|
+ (|NonNegativeInteger|)))
+ T)
+ ((|coefficient|
+ ($ $ (|List| |t#3|)
+ (|List|
+ (|NonNegativeInteger|))))
+ T)
+ ((|monomials|
+ ((|List| $) $))
+ T)
+ ((|univariate|
+ ((|SparseUnivariatePolynomial|
+ $)
+ $ |t#3|))
+ T)
+ ((|univariate|
+ ((|SparseUnivariatePolynomial|
+ |t#1|)
+ $))
+ T)
+ ((|mainVariable|
+ ((|Union| |t#3| "failed")
+ $))
+ T)
+ ((|minimumDegree|
+ ((|NonNegativeInteger|) $
+ |t#3|))
+ T)
+ ((|minimumDegree|
+ ((|List|
+ (|NonNegativeInteger|))
+ $ (|List| |t#3|)))
+ T)
+ ((|monicDivide|
+ ((|Record|
+ (|:| |quotient| $)
+ (|:| |remainder| $))
+ $ $ |t#3|))
+ T)
+ ((|monomial|
+ ($ $ |t#3|
+ (|NonNegativeInteger|)))
+ T)
+ ((|monomial|
+ ($ $ (|List| |t#3|)
+ (|List|
+ (|NonNegativeInteger|))))
+ T)
+ ((|multivariate|
+ ($
+ (|SparseUnivariatePolynomial|
+ |t#1|)
+ |t#3|))
+ T)
+ ((|multivariate|
+ ($
+ (|SparseUnivariatePolynomial|
+ $)
+ |t#3|))
+ T)
+ ((|isPlus|
+ ((|Union| (|List| $)
+ "failed")
+ $))
+ T)
+ ((|isTimes|
+ ((|Union| (|List| $)
+ "failed")
+ $))
+ T)
+ ((|isExpt|
+ ((|Union|
+ (|Record|
+ (|:| |var| |t#3|)
+ (|:| |exponent|
+ (|NonNegativeInteger|)))
+ "failed")
+ $))
+ T)
+ ((|totalDegree|
+ ((|NonNegativeInteger|) $))
+ T)
+ ((|totalDegree|
+ ((|NonNegativeInteger|) $
+ (|List| |t#3|)))
+ T)
+ ((|variables|
+ ((|List| |t#3|) $))
+ T)
+ ((|primitiveMonomials|
+ ((|List| $) $))
+ T)
+ ((|resultant| ($ $ $ |t#3|))
+ (|has| |t#1|
+ (|CommutativeRing|)))
+ ((|discriminant|
+ ($ $ |t#3|))
+ (|has| |t#1|
+ (|CommutativeRing|)))
+ ((|content| ($ $ |t#3|))
+ (|has| |t#1| (|GcdDomain|)))
+ ((|primitivePart| ($ $))
+ (|has| |t#1| (|GcdDomain|)))
+ ((|primitivePart|
+ ($ $ |t#3|))
+ (|has| |t#1| (|GcdDomain|)))
+ ((|squareFree|
+ ((|Factored| $) $))
+ (|has| |t#1| (|GcdDomain|)))
+ ((|squareFreePart| ($ $))
+ (|has| |t#1| (|GcdDomain|))))
+ '(((|OrderedSet|)
+ (|has| |t#1|
+ (|OrderedSet|)))
+ ((|ConvertibleTo|
+ (|InputForm|))
+ (AND
+ (|has| |t#3|
+ (|ConvertibleTo|
+ (|InputForm|)))
+ (|has| |t#1|
+ (|ConvertibleTo|
+ (|InputForm|)))))
+ ((|ConvertibleTo|
+ (|Pattern| (|Integer|)))
+ (AND
+ (|has| |t#3|
+ (|ConvertibleTo|
+ (|Pattern| (|Integer|))))
+ (|has| |t#1|
+ (|ConvertibleTo|
+ (|Pattern| (|Integer|))))))
+ ((|ConvertibleTo|
+ (|Pattern| (|Float|)))
+ (AND
+ (|has| |t#3|
+ (|ConvertibleTo|
+ (|Pattern| (|Float|))))
+ (|has| |t#1|
+ (|ConvertibleTo|
+ (|Pattern| (|Float|))))))
+ ((|PatternMatchable|
+ (|Integer|))
+ (AND
+ (|has| |t#3|
+ (|PatternMatchable|
+ (|Integer|)))
+ (|has| |t#1|
+ (|PatternMatchable|
+ (|Integer|)))))
+ ((|PatternMatchable|
+ (|Float|))
+ (AND
+ (|has| |t#3|
+ (|PatternMatchable|
+ (|Float|)))
+ (|has| |t#1|
+ (|PatternMatchable|
+ (|Float|)))))
+ ((|GcdDomain|)
+ (|has| |t#1| (|GcdDomain|)))
+ (|canonicalUnitNormal|
+ (|has| |t#1|
+ (ATTRIBUTE
+ |canonicalUnitNormal|)))
+ ((|PolynomialFactorizationExplicit|)
+ (|has| |t#1|
+ (|PolynomialFactorizationExplicit|))))
+ '((|Factored| $) (|List| $)
+ (|List| |t#3|)
+ (|NonNegativeInteger|)
+ (|SparseUnivariatePolynomial|
+ $)
+ (|SparseUnivariatePolynomial|
+ |t#1|)
+ (|List|
+ (|NonNegativeInteger|)))
+ NIL))
+ . #1=(|PolynomialCategory|))))) . #1#)
+ (SETELT #0# 0
+ (LIST '|PolynomialCategory| (|devaluate| |t#1|)
+ (|devaluate| |t#2|) (|devaluate| |t#3|)))))))
@
\section{POLYCAT-.lsp BOOTSTRAP}
{\bf POLYCAT-} depends on {\bf POLYCAT}. We need to break this cycle to build
@@ -795,1927 +866,1709 @@ Note that this code is not included in the generated catdef.spad file.
<<POLYCAT-.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| |$|)
- (PROG (#1=#:G101870 #2=#:G101860 #3=#:G101868 #4=#:G101869
- |lvar| #5=#:G101866 |e| #6=#:G101867)
- (RETURN
- (SEQ
- (COND
- ((NULL |l|) |p|)
- ((QUOTE T)
- (SEQ
- (SEQ
- (EXIT
- (SEQ
- (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
- (LETT #1# |l| |POLYCAT-;eval;SLS;1|)
- G190
- (COND
- ((OR
- (ATOM #1#)
- (PROGN (LETT |e| (CAR #1#) |POLYCAT-;eval;SLS;1|) NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (COND
- ((QEQCAR
- (SPADCALL
- (SPADCALL |e| (QREFELT |$| 11))
- (QREFELT |$| 13))
- 1)
- (PROGN
- (LETT #2#
- (|error| "cannot find a variable to evaluate")
- |POLYCAT-;eval;SLS;1|)
- (GO #2#))))))
- (LETT #1# (CDR #1#) |POLYCAT-;eval;SLS;1|)
- (GO G190)
- G191
- (EXIT NIL)))
- #2#
- (EXIT #2#))
- (LETT |lvar|
- (PROGN
- (LETT #3# NIL |POLYCAT-;eval;SLS;1|)
- (SEQ
- (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
- (LETT #4# |l| |POLYCAT-;eval;SLS;1|)
- G190
- (COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |e| (CAR #4#) |POLYCAT-;eval;SLS;1|) NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #3#
- (CONS
- (SPADCALL
- (SPADCALL |e| (QREFELT |$| 11))
- (QREFELT |$| 14))
- #3#)
- |POLYCAT-;eval;SLS;1|)))
- (LETT #4# (CDR #4#) |POLYCAT-;eval;SLS;1|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #3#))))
- |POLYCAT-;eval;SLS;1|)
- (EXIT
- (SPADCALL
- |p|
- |lvar|
- (PROGN
- (LETT #5# NIL |POLYCAT-;eval;SLS;1|)
- (SEQ
- (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
- (LETT #6# |l| |POLYCAT-;eval;SLS;1|)
- G190
- (COND
- ((OR
- (ATOM #6#)
- (PROGN
- (LETT |e| (CAR #6#) |POLYCAT-;eval;SLS;1|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #5#
- (CONS (SPADCALL |e| (QREFELT |$| 15)) #5#)
- |POLYCAT-;eval;SLS;1|)))
- (LETT #6# (CDR #6#) |POLYCAT-;eval;SLS;1|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #5#))))
- (QREFELT |$| 18))))))))))
-
-(DEFUN |POLYCAT-;monomials;SL;2| (|p| |$|)
- (PROG (|ml|)
- (RETURN
- (SEQ
- (LETT |ml| NIL |POLYCAT-;monomials;SL;2|)
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((SPADCALL |p| (|spadConstant| |$| 21) (QREFELT |$| 24))
- (QUOTE NIL))
- ((QUOTE T) (QUOTE T))))
- (GO G191)))
- (SEQ
- (LETT |ml|
- (CONS (SPADCALL |p| (QREFELT |$| 25)) |ml|)
- |POLYCAT-;monomials;SL;2|)
- (EXIT
- (LETT |p|
- (SPADCALL |p| (QREFELT |$| 26))
- |POLYCAT-;monomials;SL;2|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT (REVERSE |ml|))))))
-
-(DEFUN |POLYCAT-;isPlus;SU;3| (|p| |$|)
- (PROG (|l|)
- (RETURN
- (COND
- ((NULL
- (CDR
- (LETT |l|
- (SPADCALL |p| (QREFELT |$| 28))
- |POLYCAT-;isPlus;SU;3|)))
- (CONS 1 "failed"))
- ((QUOTE T) (CONS 0 |l|))))))
-
-(DEFUN |POLYCAT-;isTimes;SU;4| (|p| |$|)
- (PROG (|lv| #1=#:G101892 |v| #2=#:G101893 |l| |r|)
- (RETURN
- (SEQ
- (COND
- ((OR
- (NULL
- (LETT |lv|
- (SPADCALL |p| (QREFELT |$| 31))
- |POLYCAT-;isTimes;SU;4|))
- (NULL (SPADCALL |p| (QREFELT |$| 32))))
- (CONS 1 "failed"))
- ((QUOTE T)
- (SEQ
- (LETT |l|
- (PROGN
- (LETT #1# NIL |POLYCAT-;isTimes;SU;4|)
- (SEQ
- (LETT |v| NIL |POLYCAT-;isTimes;SU;4|)
- (LETT #2# |lv| |POLYCAT-;isTimes;SU;4|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |v| (CAR #2#) |POLYCAT-;isTimes;SU;4|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS
- (SPADCALL
- (|spadConstant| |$| 33)
- |v|
- (SPADCALL |p| |v| (QREFELT |$| 36))
- (QREFELT |$| 37))
- #1#)
- |POLYCAT-;isTimes;SU;4|)))
- (LETT #2# (CDR #2#) |POLYCAT-;isTimes;SU;4|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- |POLYCAT-;isTimes;SU;4|)
- (EXIT
- (COND
- ((SPADCALL
- (LETT |r|
- (SPADCALL |p| (QREFELT |$| 38))
- |POLYCAT-;isTimes;SU;4|)
- (QREFELT |$| 39))
- (COND
- ((NULL (CDR |lv|)) (CONS 1 "failed"))
- ((QUOTE T) (CONS 0 |l|))))
- ((QUOTE T)
- (CONS 0
- (CONS (SPADCALL |r| (QREFELT |$| 40)) |l|))))))))))))
-
-(DEFUN |POLYCAT-;isExpt;SU;5| (|p| |$|)
- (PROG (|u| |d|)
- (RETURN
- (SEQ
- (LETT |u| (SPADCALL |p| (QREFELT |$| 42)) |POLYCAT-;isExpt;SU;5|)
- (EXIT
- (COND
- ((OR
- (QEQCAR |u| 1)
- (NULL
- (SPADCALL |p|
- (SPADCALL
- (|spadConstant| |$| 33)
- (QCDR |u|)
- (LETT |d|
- (SPADCALL |p| (QCDR |u|) (QREFELT |$| 36))
- |POLYCAT-;isExpt;SU;5|)
- (QREFELT |$| 37))
- (QREFELT |$| 24))))
+(/VERSIONCHECK 2)
+
+(DEFUN |POLYCAT-;eval;SLS;1| (|p| |l| $)
+ (PROG (#0=#:G1420 #1=#:G1414 #2=#:G1421 #3=#:G1422 |lvar| #4=#:G1423
+ |e| #5=#:G1424)
+ (RETURN
+ (SEQ (COND
+ ((NULL |l|) |p|)
+ ('T
+ (SEQ (SEQ (EXIT (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
+ (LETT #0# |l| |POLYCAT-;eval;SLS;1|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |e| (CAR #0#)
+ |POLYCAT-;eval;SLS;1|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (COND
+ ((QEQCAR
+ (SPADCALL
+ (SPADCALL |e| (QREFELT $ 11))
+ (QREFELT $ 13))
+ 1)
+ (PROGN
+ (LETT #1#
+ (|error|
+ "cannot find a variable to evaluate")
+ |POLYCAT-;eval;SLS;1|)
+ (GO #1#))))))
+ (LETT #0# (CDR #0#)
+ |POLYCAT-;eval;SLS;1|)
+ (GO G190) G191 (EXIT NIL)))
+ #1# (EXIT #1#))
+ (LETT |lvar|
+ (PROGN
+ (LETT #2# NIL |POLYCAT-;eval;SLS;1|)
+ (SEQ (LETT |e| NIL |POLYCAT-;eval;SLS;1|)
+ (LETT #3# |l| |POLYCAT-;eval;SLS;1|)
+ G190
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |e| (CAR #3#)
+ |POLYCAT-;eval;SLS;1|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT
+ (LETT #2#
+ (CONS
+ (SPADCALL
+ (SPADCALL |e| (QREFELT $ 11))
+ (QREFELT $ 14))
+ #2#)
+ |POLYCAT-;eval;SLS;1|)))
+ (LETT #3# (CDR #3#)
+ |POLYCAT-;eval;SLS;1|)
+ (GO G190) G191 (EXIT (NREVERSE0 #2#))))
+ |POLYCAT-;eval;SLS;1|)
+ (EXIT (SPADCALL |p| |lvar|
+ (PROGN
+ (LETT #4# NIL |POLYCAT-;eval;SLS;1|)
+ (SEQ (LETT |e| NIL
+ |POLYCAT-;eval;SLS;1|)
+ (LETT #5# |l|
+ |POLYCAT-;eval;SLS;1|)
+ G190
+ (COND
+ ((OR (ATOM #5#)
+ (PROGN
+ (LETT |e| (CAR #5#)
+ |POLYCAT-;eval;SLS;1|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #4#
+ (CONS
+ (SPADCALL |e| (QREFELT $ 15))
+ #4#)
+ |POLYCAT-;eval;SLS;1|)))
+ (LETT #5# (CDR #5#)
+ |POLYCAT-;eval;SLS;1|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #4#))))
+ (QREFELT $ 18))))))))))
+
+(DEFUN |POLYCAT-;monomials;SL;2| (|p| $)
+ (PROG (|ml|)
+ (RETURN
+ (SEQ (LETT |ml| NIL |POLYCAT-;monomials;SL;2|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL |p| (|spadConstant| $ 21)
+ (QREFELT $ 24))
+ (QREFELT $ 25)))
+ (GO G191)))
+ (SEQ (LETT |ml|
+ (CONS (SPADCALL |p| (QREFELT $ 26)) |ml|)
+ |POLYCAT-;monomials;SL;2|)
+ (EXIT (LETT |p| (SPADCALL |p| (QREFELT $ 27))
+ |POLYCAT-;monomials;SL;2|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (REVERSE |ml|))))))
+
+(DEFUN |POLYCAT-;isPlus;SU;3| (|p| $)
+ (PROG (|l|)
+ (RETURN
+ (COND
+ ((NULL (CDR (LETT |l| (SPADCALL |p| (QREFELT $ 29))
+ |POLYCAT-;isPlus;SU;3|)))
+ (CONS 1 "failed"))
+ ('T (CONS 0 |l|))))))
+
+(DEFUN |POLYCAT-;isTimes;SU;4| (|p| $)
+ (PROG (|lv| #0=#:G1446 |v| #1=#:G1447 |l| |r|)
+ (RETURN
+ (SEQ (COND
+ ((OR (NULL (LETT |lv| (SPADCALL |p| (QREFELT $ 32))
+ |POLYCAT-;isTimes;SU;4|))
+ (NULL (SPADCALL |p| (QREFELT $ 33))))
(CONS 1 "failed"))
- ((QUOTE T) (CONS 0 (CONS (QCDR |u|) |d|)))))))))
-
-(DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| |$|)
- (SPADCALL (SPADCALL |p| |v| (QREFELT |$| 47)) |n| (QREFELT |$| 49)))
-
-(DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| |$|)
- (COND
- ((NULL |lv|)
- (COND
- ((NULL |ln|) |p|)
- ((QUOTE T) (|error| "mismatched lists in coefficient"))))
- ((NULL |ln|)
- (|error| "mismatched lists in coefficient"))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL
- (SPADCALL |p| (|SPADfirst| |lv|) (QREFELT |$| 47))
- (|SPADfirst| |ln|)
- (QREFELT |$| 49))
- (CDR |lv|)
- (CDR |ln|)
- (QREFELT |$| 52)))))
-
-(DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| |$|)
- (COND
- ((NULL |lv|)
- (COND
- ((NULL |ln|) |p|)
- ((QUOTE T) (|error| "mismatched lists in monomial"))))
- ((NULL |ln|)
- (|error| "mismatched lists in monomial"))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|) (QREFELT |$| 37))
- (CDR |lv|)
- (CDR |ln|)
- (QREFELT |$| 54)))))
-
-(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| |$|)
- (PROG (#1=#:G101918 |q|)
- (RETURN
- (SEQ
- (LETT |q|
- (PROG2
- (LETT #1#
- (SPADCALL |p| (QREFELT |$| 42))
- |POLYCAT-;retract;SVarSet;9|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#))
- |POLYCAT-;retract;SVarSet;9|)
- (EXIT
- (COND
- ((SPADCALL
- (SPADCALL |q| (QREFELT |$| 56))
- |p|
- (QREFELT |$| 24))
- |q|)
- ((QUOTE T)
- (|error| "Polynomial is not a single variable"))))))))
-
-(DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| |$|)
- (PROG (|q| #1=#:G101926)
- (RETURN
- (SEQ
- (EXIT
- (SEQ
- (SEQ
- (LETT |q|
- (SPADCALL |p| (QREFELT |$| 42))
- |POLYCAT-;retractIfCan;SU;10|)
- (EXIT
- (COND
- ((QEQCAR |q| 0)
- (COND
- ((SPADCALL
- (SPADCALL (QCDR |q|) (QREFELT |$| 56))
- |p|
- (QREFELT |$| 24))
- (PROGN
- (LETT #1# |q| |POLYCAT-;retractIfCan;SU;10|)
- (GO #1#))))))))
- (EXIT (CONS 1 "failed"))))
- #1#
- (EXIT #1#)))))
-
-(DEFUN |POLYCAT-;mkPrim| (|p| |$|)
- (SPADCALL
- (|spadConstant| |$| 34)
- (SPADCALL |p| (QREFELT |$| 59))
- (QREFELT |$| 60)))
-
-(DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| |$|)
- (PROG (#1=#:G101931 |q| #2=#:G101932)
- (RETURN
- (SEQ
- (PROGN
- (LETT #1# NIL |POLYCAT-;primitiveMonomials;SL;12|)
- (SEQ
- (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|)
- (LETT #2#
- (SPADCALL |p| (QREFELT |$| 28))
- |POLYCAT-;primitiveMonomials;SL;12|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |q| (CAR #2#) |POLYCAT-;primitiveMonomials;SL;12|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS
- (|POLYCAT-;mkPrim| |q| |$|)
- #1#)
- |POLYCAT-;primitiveMonomials;SL;12|)))
- (LETT #2# (CDR #2#) |POLYCAT-;primitiveMonomials;SL;12|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))))))
-
-(DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| |$|)
- (PROG (#1=#:G101934 |d| |u|)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |p| (QREFELT |$| 62)) 0)
- ((QUOTE T)
- (SEQ
- (LETT |u|
- (SPADCALL |p|
- (PROG2
- (LETT #1#
- (SPADCALL |p| (QREFELT |$| 42))
- |POLYCAT-;totalDegree;SNni;13|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#))
- (QREFELT |$| 47))
- |POLYCAT-;totalDegree;SNni;13|)
- (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|)
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((SPADCALL |u| (|spadConstant| |$| 63) (QREFELT |$| 64))
- (QUOTE NIL))
- ((QUOTE T) (QUOTE T)))) (GO G191)))
- (SEQ
- (LETT |d|
- (MAX |d|
- (|+|
- (SPADCALL |u| (QREFELT |$| 65))
- (SPADCALL
- (SPADCALL |u| (QREFELT |$| 66))
- (QREFELT |$| 67))))
- |POLYCAT-;totalDegree;SNni;13|)
- (EXIT
- (LETT |u|
- (SPADCALL |u| (QREFELT |$| 68))
- |POLYCAT-;totalDegree;SNni;13|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |d|))))))))
-
-(DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| |$|)
- (PROG (#1=#:G101942 |v| |w| |d| |u|)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |p| (QREFELT |$| 62)) 0)
- ((QUOTE T)
- (SEQ
- (LETT |u|
- (SPADCALL |p|
- (LETT |v|
- (PROG2
- (LETT #1#
- (SPADCALL |p| (QREFELT |$| 42))
- |POLYCAT-;totalDegree;SLNni;14|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 9) #1#))
- |POLYCAT-;totalDegree;SLNni;14|)
- (QREFELT |$| 47))
- |POLYCAT-;totalDegree;SLNni;14|)
- (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|)
- (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|)
- (COND
- ((SPADCALL |v| |lv| (QREFELT |$| 70))
- (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|)))
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((SPADCALL |u| (|spadConstant| |$| 63) (QREFELT |$| 64))
- (QUOTE NIL))
- ((QUOTE T) (QUOTE T))))
- (GO G191)))
- (SEQ
- (LETT |d|
- (MAX |d|
- (|+|
- (|*| |w| (SPADCALL |u| (QREFELT |$| 65)))
- (SPADCALL
- (SPADCALL |u| (QREFELT |$| 66))
- |lv|
- (QREFELT |$| 71))))
- |POLYCAT-;totalDegree;SLNni;14|)
- (EXIT
- (LETT |u|
- (SPADCALL |u| (QREFELT |$| 68))
- |POLYCAT-;totalDegree;SLNni;14|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |d|))))))))
-
-(DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| |$|)
- (SPADCALL
- (SPADCALL |p1| |mvar| (QREFELT |$| 47))
- (SPADCALL |p2| |mvar| (QREFELT |$| 47))
- (QREFELT |$| 73)))
-
-(DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| |$|)
- (SPADCALL (SPADCALL |p| |var| (QREFELT |$| 47)) (QREFELT |$| 75)))
-
-(DEFUN |POLYCAT-;allMonoms| (|l| |$|)
- (PROG (#1=#:G101954 |p| #2=#:G101955)
- (RETURN
- (SEQ
- (SPADCALL
- (SPADCALL
- (PROGN
- (LETT #1# NIL |POLYCAT-;allMonoms|)
- (SEQ
- (LETT |p| NIL |POLYCAT-;allMonoms|)
- (LETT #2# |l| |POLYCAT-;allMonoms|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN (LETT |p| (CAR #2#) |POLYCAT-;allMonoms|) NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS (SPADCALL |p| (QREFELT |$| 77)) #1#)
- |POLYCAT-;allMonoms|)))
- (LETT #2# (CDR #2#) |POLYCAT-;allMonoms|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 79))
- (QREFELT |$| 80))))))
-
-(DEFUN |POLYCAT-;P2R| (|p| |b| |n| |$|)
- (PROG (|w| |bj| #1=#:G101960 |i| #2=#:G101959)
- (RETURN
- (SEQ
- (LETT |w|
- (SPADCALL |n| (|spadConstant| |$| 22) (QREFELT |$| 82))
- |POLYCAT-;P2R|)
- (SEQ
- (LETT |bj| NIL |POLYCAT-;P2R|)
- (LETT #1# |b| |POLYCAT-;P2R|)
- (LETT |i| (SPADCALL |w| (QREFELT |$| 84)) |POLYCAT-;P2R|)
- (LETT #2# (QVSIZE |w|) |POLYCAT-;P2R|)
- G190
- (COND
- ((OR
- (|>| |i| #2#)
- (ATOM #1#)
- (PROGN (LETT |bj| (CAR #1#) |POLYCAT-;P2R|) NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (SPADCALL |w| |i|
- (SPADCALL |p| |bj| (QREFELT |$| 85))
- (QREFELT |$| 86))))
- (LETT |i|
- (PROG1
- (|+| |i| 1)
- (LETT #1# (CDR #1#) |POLYCAT-;P2R|))
- |POLYCAT-;P2R|)
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |w|)))))
-
-(DEFUN |POLYCAT-;eq2R| (|l| |b| |$|)
- (PROG (#1=#:G101964 |bj| #2=#:G101965 #3=#:G101966 |p| #4=#:G101967)
- (RETURN
- (SEQ
- (SPADCALL
- (PROGN
- (LETT #1# NIL |POLYCAT-;eq2R|)
- (SEQ
- (LETT |bj| NIL |POLYCAT-;eq2R|)
- (LETT #2# |b| |POLYCAT-;eq2R|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN (LETT |bj| (CAR #2#) |POLYCAT-;eq2R|) NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS
- (PROGN
- (LETT #3# NIL |POLYCAT-;eq2R|)
- (SEQ
- (LETT |p| NIL |POLYCAT-;eq2R|)
- (LETT #4# |l| |POLYCAT-;eq2R|)
- G190
- (COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |p| (CAR #4#) |POLYCAT-;eq2R|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #3#
- (CONS (SPADCALL |p| |bj| (QREFELT |$| 85)) #3#)
- |POLYCAT-;eq2R|)))
- (LETT #4# (CDR #4#) |POLYCAT-;eq2R|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #3#))))
- #1#)
- |POLYCAT-;eq2R|)))
- (LETT #2# (CDR #2#) |POLYCAT-;eq2R|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 89))))))
-
-(DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| |$|)
- (PROG (#1=#:G101979 |r| #2=#:G101980 |b| #3=#:G101977
- |bj| #4=#:G101978 |d| |mm| |l|)
- (RETURN
- (SEQ
- (LETT |l|
- (SPADCALL |m| (QREFELT |$| 92))
- |POLYCAT-;reducedSystem;MM;20|)
- (LETT |b|
- (SPADCALL
- (SPADCALL
- (PROGN
- (LETT #1# NIL |POLYCAT-;reducedSystem;MM;20|)
- (SEQ
- (LETT |r| NIL |POLYCAT-;reducedSystem;MM;20|)
- (LETT #2# |l| |POLYCAT-;reducedSystem;MM;20|)
+ ('T
+ (SEQ (LETT |l|
+ (PROGN
+ (LETT #0# NIL |POLYCAT-;isTimes;SU;4|)
+ (SEQ (LETT |v| NIL |POLYCAT-;isTimes;SU;4|)
+ (LETT #1# |lv| |POLYCAT-;isTimes;SU;4|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |v| (CAR #1#)
+ |POLYCAT-;isTimes;SU;4|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT
+ (LETT #0#
+ (CONS
+ (SPADCALL (|spadConstant| $ 34)
+ |v|
+ (SPADCALL |p| |v|
+ (QREFELT $ 37))
+ (QREFELT $ 38))
+ #0#)
+ |POLYCAT-;isTimes;SU;4|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;isTimes;SU;4|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ |POLYCAT-;isTimes;SU;4|)
+ (LETT |r| (SPADCALL |p| (QREFELT $ 39))
+ |POLYCAT-;isTimes;SU;4|)
+ (EXIT (COND
+ ((SPADCALL |r| (|spadConstant| $ 35)
+ (QREFELT $ 40))
+ (COND
+ ((NULL (CDR |lv|)) (CONS 1 "failed"))
+ ('T (CONS 0 |l|))))
+ ('T
+ (CONS 0
+ (CONS (SPADCALL |r| (QREFELT $ 41))
+ |l|))))))))))))
+
+(DEFUN |POLYCAT-;isExpt;SU;5| (|p| $)
+ (PROG (|u| |d|)
+ (RETURN
+ (SEQ (LETT |u| (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;isExpt;SU;5|)
+ (EXIT (COND
+ ((OR (QEQCAR |u| 1)
+ (NULL (SPADCALL |p|
+ (SPADCALL (|spadConstant| $ 34)
+ (QCDR |u|)
+ (LETT |d|
+ (SPADCALL |p| (QCDR |u|)
+ (QREFELT $ 37))
+ |POLYCAT-;isExpt;SU;5|)
+ (QREFELT $ 38))
+ (QREFELT $ 24))))
+ (CONS 1 "failed"))
+ ('T (CONS 0 (CONS (QCDR |u|) |d|)))))))))
+
+(DEFUN |POLYCAT-;coefficient;SVarSetNniS;6| (|p| |v| |n| $)
+ (SPADCALL (SPADCALL |p| |v| (QREFELT $ 48)) |n| (QREFELT $ 50)))
+
+(DEFUN |POLYCAT-;coefficient;SLLS;7| (|p| |lv| |ln| $)
+ (COND
+ ((NULL |lv|)
+ (COND
+ ((NULL |ln|) |p|)
+ ('T (|error| "mismatched lists in coefficient"))))
+ ((NULL |ln|) (|error| "mismatched lists in coefficient"))
+ ('T
+ (SPADCALL
+ (SPADCALL (SPADCALL |p| (|SPADfirst| |lv|) (QREFELT $ 48))
+ (|SPADfirst| |ln|) (QREFELT $ 50))
+ (CDR |lv|) (CDR |ln|) (QREFELT $ 53)))))
+
+(DEFUN |POLYCAT-;monomial;SLLS;8| (|p| |lv| |ln| $)
+ (COND
+ ((NULL |lv|)
+ (COND
+ ((NULL |ln|) |p|)
+ ('T (|error| "mismatched lists in monomial"))))
+ ((NULL |ln|) (|error| "mismatched lists in monomial"))
+ ('T
+ (SPADCALL
+ (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |ln|)
+ (QREFELT $ 38))
+ (CDR |lv|) (CDR |ln|) (QREFELT $ 55)))))
+
+(DEFUN |POLYCAT-;retract;SVarSet;9| (|p| $)
+ (PROG (#0=#:G1472 |q|)
+ (RETURN
+ (SEQ (LETT |q|
+ (PROG2 (LETT #0# (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;retract;SVarSet;9|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 9) #0#))
+ |POLYCAT-;retract;SVarSet;9|)
+ (EXIT (COND
+ ((SPADCALL (SPADCALL |q| (QREFELT $ 57)) |p|
+ (QREFELT $ 24))
+ |q|)
+ ('T (|error| "Polynomial is not a single variable"))))))))
+
+(DEFUN |POLYCAT-;retractIfCan;SU;10| (|p| $)
+ (PROG (|q| #0=#:G1480)
+ (RETURN
+ (SEQ (EXIT (SEQ (SEQ (LETT |q| (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;retractIfCan;SU;10|)
+ (EXIT (COND
+ ((QEQCAR |q| 0)
+ (COND
+ ((SPADCALL
+ (SPADCALL (QCDR |q|)
+ (QREFELT $ 57))
+ |p| (QREFELT $ 24))
+ (PROGN
+ (LETT #0# |q|
+ |POLYCAT-;retractIfCan;SU;10|)
+ (GO #0#))))))))
+ (EXIT (CONS 1 "failed"))))
+ #0# (EXIT #0#)))))
+
+(DEFUN |POLYCAT-;mkPrim| (|p| $)
+ (SPADCALL (|spadConstant| $ 35) (SPADCALL |p| (QREFELT $ 60))
+ (QREFELT $ 61)))
+
+(DEFUN |POLYCAT-;primitiveMonomials;SL;12| (|p| $)
+ (PROG (#0=#:G1485 |q| #1=#:G1486)
+ (RETURN
+ (SEQ (PROGN
+ (LETT #0# NIL |POLYCAT-;primitiveMonomials;SL;12|)
+ (SEQ (LETT |q| NIL |POLYCAT-;primitiveMonomials;SL;12|)
+ (LETT #1# (SPADCALL |p| (QREFELT $ 29))
+ |POLYCAT-;primitiveMonomials;SL;12|)
G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |r| (CAR #2#) |POLYCAT-;reducedSystem;MM;20|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS (|POLYCAT-;allMonoms| |r| |$|) #1#)
- |POLYCAT-;reducedSystem;MM;20|)))
- (LETT #2# (CDR #2#) |POLYCAT-;reducedSystem;MM;20|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 79))
- (QREFELT |$| 80))
- |POLYCAT-;reducedSystem;MM;20|)
- (LETT |d|
- (PROGN
- (LETT #3# NIL |POLYCAT-;reducedSystem;MM;20|)
- (SEQ
- (LETT |bj| NIL |POLYCAT-;reducedSystem;MM;20|)
- (LETT #4# |b| |POLYCAT-;reducedSystem;MM;20|)
- G190
- (COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |bj| (CAR #4#) |POLYCAT-;reducedSystem;MM;20|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #3#
- (CONS (SPADCALL |bj| (QREFELT |$| 59)) #3#)
- |POLYCAT-;reducedSystem;MM;20|)))
- (LETT #4# (CDR #4#) |POLYCAT-;reducedSystem;MM;20|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #3#))))
- |POLYCAT-;reducedSystem;MM;20|)
- (LETT |mm|
- (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|)
- |POLYCAT-;reducedSystem;MM;20|)
- (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|)
- (SEQ G190
- (COND
- ((NULL (COND ((NULL |l|) (QUOTE NIL)) ((QUOTE T) (QUOTE T))))
- (GO G191)))
- (SEQ
- (LETT |mm|
- (SPADCALL |mm|
- (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|) (QREFELT |$| 93))
- |POLYCAT-;reducedSystem;MM;20|)
- (EXIT (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |mm|)))))
-
-(DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| |$|)
- (PROG (#1=#:G101994 |s| #2=#:G101995 |b| #3=#:G101992 |bj| #4=#:G101993
- |d| |n| |mm| |w| |l| |r|)
- (RETURN
- (SEQ
- (LETT |l| (SPADCALL |m| (QREFELT |$| 92)) |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |r| (SPADCALL |v| (QREFELT |$| 97)) |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |b|
- (SPADCALL
- (SPADCALL
- (|POLYCAT-;allMonoms| |r| |$|)
- (SPADCALL
- (PROGN
- (LETT #1# NIL |POLYCAT-;reducedSystem;MVR;21|)
- (SEQ
- (LETT |s| NIL |POLYCAT-;reducedSystem;MVR;21|)
- (LETT #2# |l| |POLYCAT-;reducedSystem;MVR;21|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |s| (CAR #2#) |POLYCAT-;reducedSystem;MVR;21|)
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |q| (CAR #1#)
+ |POLYCAT-;primitiveMonomials;SL;12|)
NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS (|POLYCAT-;allMonoms| |s| |$|) #1#)
- |POLYCAT-;reducedSystem;MVR;21|)))
- (LETT #2# (CDR #2#) |POLYCAT-;reducedSystem;MVR;21|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 79))
- (QREFELT |$| 98))
- (QREFELT |$| 80))
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |d|
- (PROGN
- (LETT #3# NIL |POLYCAT-;reducedSystem;MVR;21|)
- (SEQ
- (LETT |bj| NIL |POLYCAT-;reducedSystem;MVR;21|)
- (LETT #4# |b| |POLYCAT-;reducedSystem;MVR;21|)
- G190
- (COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |bj| (CAR #4#) |POLYCAT-;reducedSystem;MVR;21|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #3#
- (CONS (SPADCALL |bj| (QREFELT |$| 59)) #3#)
- |POLYCAT-;reducedSystem;MVR;21|)))
- (LETT #4# (CDR #4#) |POLYCAT-;reducedSystem;MVR;21|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #3#))))
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |n| (LENGTH |d|) |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |mm|
- (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|)
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |w|
- (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| |$|)
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|)
- (SEQ G190
- (COND
- ((NULL (COND ((NULL |l|) (QUOTE NIL)) ((QUOTE T) (QUOTE T))))
- (GO G191)))
- (SEQ
- (LETT |mm|
- (SPADCALL |mm|
- (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| |$|)
- (QREFELT |$| 93))
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |w|
- (SPADCALL |w|
- (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| |$|)
- (QREFELT |$| 99))
- |POLYCAT-;reducedSystem;MVR;21|)
- (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|)
- (EXIT (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT (CONS |mm| |w|))))))
-
-(DEFUN |POLYCAT-;gcdPolynomial;3Sup;22| (|pp| |qq| |$|)
- (SPADCALL |pp| |qq| (QREFELT |$| 104)))
-
-(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| |$|)
- (SPADCALL |lpp| |pp| (QREFELT |$| 109)))
-
-(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| |$|)
- (SPADCALL |pp| (QREFELT |$| 114)))
-
-(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| |$|)
- (SPADCALL |pp| (QREFELT |$| 117)))
-
-(DEFUN |POLYCAT-;factor;SF;26| (|p| |$|)
- (PROG (|v| |ansR| #1=#:G102039 |w| #2=#:G102040 |up| |ansSUP|
- #3=#:G102037 |ww| #4=#:G102038)
- (RETURN
- (SEQ
- (LETT |v| (SPADCALL |p| (QREFELT |$| 42)) |POLYCAT-;factor;SF;26|)
- (EXIT
- (COND
- ((QEQCAR |v| 1)
- (SEQ
- (LETT |ansR|
- (SPADCALL (SPADCALL |p| (QREFELT |$| 38)) (QREFELT |$| 120))
- |POLYCAT-;factor;SF;26|)
- (EXIT
- (SPADCALL
- (SPADCALL
- (SPADCALL |ansR| (QREFELT |$| 122))
- (QREFELT |$| 40))
- (PROGN
- (LETT #1# NIL |POLYCAT-;factor;SF;26|)
- (SEQ
- (LETT |w| NIL |POLYCAT-;factor;SF;26|)
- (LETT #2#
- (SPADCALL |ansR| (QREFELT |$| 126))
- |POLYCAT-;factor;SF;26|)
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS (|POLYCAT-;mkPrim| |q| $) #0#)
+ |POLYCAT-;primitiveMonomials;SL;12|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;primitiveMonomials;SL;12|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))))))
+
+(DEFUN |POLYCAT-;totalDegree;SNni;13| (|p| $)
+ (PROG (#0=#:G1488 |d| |u|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |p| (QREFELT $ 63)) 0)
+ ('T
+ (SEQ (LETT |u|
+ (SPADCALL |p|
+ (PROG2 (LETT #0#
+ (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;totalDegree;SNni;13|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 9) #0#))
+ (QREFELT $ 48))
+ |POLYCAT-;totalDegree;SNni;13|)
+ (LETT |d| 0 |POLYCAT-;totalDegree;SNni;13|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL |u|
+ (|spadConstant| $ 64)
+ (QREFELT $ 65))
+ (QREFELT $ 25)))
+ (GO G191)))
+ (SEQ (LETT |d|
+ (MAX |d|
+ (+ (SPADCALL |u| (QREFELT $ 66))
+ (SPADCALL
+ (SPADCALL |u| (QREFELT $ 67))
+ (QREFELT $ 68))))
+ |POLYCAT-;totalDegree;SNni;13|)
+ (EXIT (LETT |u|
+ (SPADCALL |u| (QREFELT $ 69))
+ |POLYCAT-;totalDegree;SNni;13|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |d|))))))))
+
+(DEFUN |POLYCAT-;totalDegree;SLNni;14| (|p| |lv| $)
+ (PROG (#0=#:G1496 |v| |w| |d| |u|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |p| (QREFELT $ 63)) 0)
+ ('T
+ (SEQ (LETT |u|
+ (SPADCALL |p|
+ (LETT |v|
+ (PROG2
+ (LETT #0#
+ (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;totalDegree;SLNni;14|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 9) #0#))
+ |POLYCAT-;totalDegree;SLNni;14|)
+ (QREFELT $ 48))
+ |POLYCAT-;totalDegree;SLNni;14|)
+ (LETT |d| 0 |POLYCAT-;totalDegree;SLNni;14|)
+ (LETT |w| 0 |POLYCAT-;totalDegree;SLNni;14|)
+ (COND
+ ((SPADCALL |v| |lv| (QREFELT $ 71))
+ (LETT |w| 1 |POLYCAT-;totalDegree;SLNni;14|)))
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL |u|
+ (|spadConstant| $ 64)
+ (QREFELT $ 65))
+ (QREFELT $ 25)))
+ (GO G191)))
+ (SEQ (LETT |d|
+ (MAX |d|
+ (+
+ (* |w|
+ (SPADCALL |u| (QREFELT $ 66)))
+ (SPADCALL
+ (SPADCALL |u| (QREFELT $ 67))
+ |lv| (QREFELT $ 72))))
+ |POLYCAT-;totalDegree;SLNni;14|)
+ (EXIT (LETT |u|
+ (SPADCALL |u| (QREFELT $ 69))
+ |POLYCAT-;totalDegree;SLNni;14|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |d|))))))))
+
+(DEFUN |POLYCAT-;resultant;2SVarSetS;15| (|p1| |p2| |mvar| $)
+ (SPADCALL (SPADCALL |p1| |mvar| (QREFELT $ 48))
+ (SPADCALL |p2| |mvar| (QREFELT $ 48)) (QREFELT $ 74)))
+
+(DEFUN |POLYCAT-;discriminant;SVarSetS;16| (|p| |var| $)
+ (SPADCALL (SPADCALL |p| |var| (QREFELT $ 48)) (QREFELT $ 76)))
+
+(DEFUN |POLYCAT-;allMonoms| (|l| $)
+ (PROG (#0=#:G1508 |p| #1=#:G1509)
+ (RETURN
+ (SEQ (SPADCALL
+ (SPADCALL
+ (PROGN
+ (LETT #0# NIL |POLYCAT-;allMonoms|)
+ (SEQ (LETT |p| NIL |POLYCAT-;allMonoms|)
+ (LETT #1# |l| |POLYCAT-;allMonoms|) G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |p| (CAR #1#)
+ |POLYCAT-;allMonoms|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS
+ (SPADCALL |p| (QREFELT $ 78))
+ #0#)
+ |POLYCAT-;allMonoms|)))
+ (LETT #1# (CDR #1#) |POLYCAT-;allMonoms|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 80))
+ (QREFELT $ 81))))))
+
+(DEFUN |POLYCAT-;P2R| (|p| |b| |n| $)
+ (PROG (|w| |bj| #0=#:G1514 |i| #1=#:G1513)
+ (RETURN
+ (SEQ (LETT |w|
+ (SPADCALL |n| (|spadConstant| $ 22) (QREFELT $ 83))
+ |POLYCAT-;P2R|)
+ (SEQ (LETT |bj| NIL |POLYCAT-;P2R|)
+ (LETT #0# |b| |POLYCAT-;P2R|)
+ (LETT |i| (SPADCALL |w| (QREFELT $ 85)) |POLYCAT-;P2R|)
+ (LETT #1# (QVSIZE |w|) |POLYCAT-;P2R|) G190
+ (COND
+ ((OR (> |i| #1#) (ATOM #0#)
+ (PROGN
+ (LETT |bj| (CAR #0#) |POLYCAT-;P2R|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (SPADCALL |w| |i|
+ (SPADCALL |p| |bj| (QREFELT $ 86))
+ (QREFELT $ 87))))
+ (LETT |i|
+ (PROG1 (+ |i| 1)
+ (LETT #0# (CDR #0#) |POLYCAT-;P2R|))
+ |POLYCAT-;P2R|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT |w|)))))
+
+(DEFUN |POLYCAT-;eq2R| (|l| |b| $)
+ (PROG (#0=#:G1518 |bj| #1=#:G1519 #2=#:G1520 |p| #3=#:G1521)
+ (RETURN
+ (SEQ (SPADCALL
+ (PROGN
+ (LETT #0# NIL |POLYCAT-;eq2R|)
+ (SEQ (LETT |bj| NIL |POLYCAT-;eq2R|)
+ (LETT #1# |b| |POLYCAT-;eq2R|) G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |bj| (CAR #1#) |POLYCAT-;eq2R|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS
+ (PROGN
+ (LETT #2# NIL
+ |POLYCAT-;eq2R|)
+ (SEQ
+ (LETT |p| NIL
+ |POLYCAT-;eq2R|)
+ (LETT #3# |l|
+ |POLYCAT-;eq2R|)
+ G190
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |p| (CAR #3#)
+ |POLYCAT-;eq2R|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #2#
+ (CONS
+ (SPADCALL |p| |bj|
+ (QREFELT $ 86))
+ #2#)
+ |POLYCAT-;eq2R|)))
+ (LETT #3# (CDR #3#)
+ |POLYCAT-;eq2R|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #2#))))
+ #0#)
+ |POLYCAT-;eq2R|)))
+ (LETT #1# (CDR #1#) |POLYCAT-;eq2R|) (GO G190)
+ G191 (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 90))))))
+
+(DEFUN |POLYCAT-;reducedSystem;MM;20| (|m| $)
+ (PROG (#0=#:G1530 |r| #1=#:G1531 |b| #2=#:G1532 |bj| #3=#:G1533 |d|
+ |mm| |l|)
+ (RETURN
+ (SEQ (LETT |l| (SPADCALL |m| (QREFELT $ 93))
+ |POLYCAT-;reducedSystem;MM;20|)
+ (LETT |b|
+ (SPADCALL
+ (SPADCALL
+ (PROGN
+ (LETT #0# NIL
+ |POLYCAT-;reducedSystem;MM;20|)
+ (SEQ (LETT |r| NIL
+ |POLYCAT-;reducedSystem;MM;20|)
+ (LETT #1# |l|
+ |POLYCAT-;reducedSystem;MM;20|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |r| (CAR #1#)
+ |POLYCAT-;reducedSystem;MM;20|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT
+ (LETT #0#
+ (CONS
+ (|POLYCAT-;allMonoms| |r| $)
+ #0#)
+ |POLYCAT-;reducedSystem;MM;20|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;reducedSystem;MM;20|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 80))
+ (QREFELT $ 81))
+ |POLYCAT-;reducedSystem;MM;20|)
+ (LETT |d|
+ (PROGN
+ (LETT #2# NIL |POLYCAT-;reducedSystem;MM;20|)
+ (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MM;20|)
+ (LETT #3# |b| |POLYCAT-;reducedSystem;MM;20|)
G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |w| (CAR #2#) |POLYCAT-;factor;SF;26|)
- NIL))
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |bj| (CAR #3#)
+ |POLYCAT-;reducedSystem;MM;20|)
+ NIL))
(GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS
- (VECTOR
- (QVELT |w| 0)
- (SPADCALL (QVELT |w| 1) (QREFELT |$| 40))
- (QVELT |w| 2))
- #1#)
- |POLYCAT-;factor;SF;26|)))
- (LETT #2# (CDR #2#) |POLYCAT-;factor;SF;26|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 130)))))
- ((QUOTE T)
- (SEQ
- (LETT |up|
- (SPADCALL |p| (QCDR |v|) (QREFELT |$| 47))
- |POLYCAT-;factor;SF;26|)
- (LETT |ansSUP|
- (SPADCALL |up| (QREFELT |$| 114))
- |POLYCAT-;factor;SF;26|)
- (EXIT
- (SPADCALL
- (SPADCALL
- (SPADCALL |ansSUP| (QREFELT |$| 131))
- (QCDR |v|)
- (QREFELT |$| 132))
- (PROGN
- (LETT #3# NIL |POLYCAT-;factor;SF;26|)
- (SEQ
- (LETT |ww| NIL |POLYCAT-;factor;SF;26|)
- (LETT #4#
- (SPADCALL |ansSUP| (QREFELT |$| 135))
- |POLYCAT-;factor;SF;26|)
+ (SEQ (EXIT (LETT #2#
+ (CONS
+ (SPADCALL |bj| (QREFELT $ 60))
+ #2#)
+ |POLYCAT-;reducedSystem;MM;20|)))
+ (LETT #3# (CDR #3#)
+ |POLYCAT-;reducedSystem;MM;20|)
+ (GO G190) G191 (EXIT (NREVERSE0 #2#))))
+ |POLYCAT-;reducedSystem;MM;20|)
+ (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $)
+ |POLYCAT-;reducedSystem;MM;20|)
+ (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MM;20|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |l|) (QREFELT $ 25)))
+ (GO G191)))
+ (SEQ (LETT |mm|
+ (SPADCALL |mm|
+ (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
+ $)
+ (QREFELT $ 94))
+ |POLYCAT-;reducedSystem;MM;20|)
+ (EXIT (LETT |l| (CDR |l|)
+ |POLYCAT-;reducedSystem;MM;20|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |mm|)))))
+
+(DEFUN |POLYCAT-;reducedSystem;MVR;21| (|m| |v| $)
+ (PROG (#0=#:G1544 |s| #1=#:G1545 |b| #2=#:G1546 |bj| #3=#:G1547 |d|
+ |n| |mm| |w| |l| |r|)
+ (RETURN
+ (SEQ (LETT |l| (SPADCALL |m| (QREFELT $ 93))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |r| (SPADCALL |v| (QREFELT $ 98))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |b|
+ (SPADCALL
+ (SPADCALL (|POLYCAT-;allMonoms| |r| $)
+ (SPADCALL
+ (PROGN
+ (LETT #0# NIL
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (SEQ (LETT |s| NIL
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT #1# |l|
+ |POLYCAT-;reducedSystem;MVR;21|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |s| (CAR #1#)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #0#
+ (CONS
+ (|POLYCAT-;allMonoms| |s| $)
+ #0#)
+ |POLYCAT-;reducedSystem;MVR;21|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 80))
+ (QREFELT $ 99))
+ (QREFELT $ 81))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |d|
+ (PROGN
+ (LETT #2# NIL |POLYCAT-;reducedSystem;MVR;21|)
+ (SEQ (LETT |bj| NIL |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT #3# |b| |POLYCAT-;reducedSystem;MVR;21|)
G190
(COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |ww| (CAR #4#) |POLYCAT-;factor;SF;26|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #3#
- (CONS
- (VECTOR
- (QVELT |ww| 0)
- (SPADCALL
- (QVELT |ww| 1)
- (QCDR |v|)
- (QREFELT |$| 132))
- (QVELT |ww| 2))
- #3#)
- |POLYCAT-;factor;SF;26|)))
- (LETT #4# (CDR #4#) |POLYCAT-;factor;SF;26|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #3#))))
- (QREFELT |$| 130)))))))))))
-
-(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| |$|)
- (PROG (|ll| #1=#:G102087 |z| #2=#:G102088 |ch| |l| #3=#:G102079
- #4=#:G102086 #5=#:G102047 #6=#:G102045 #7=#:G102046 #8=#:G102080
- |vars| |degs| #9=#:G102084 |d| #10=#:G102085 |nd| #11=#:G102074
- #12=#:G102054 |deg1| |redmons| #13=#:G102081 |v| #14=#:G102083 |u|
- #15=#:G102082 |llR| |monslist| |ans| #16=#:G102075 #17=#:G102076
- |mons| #18=#:G102077 |m| #19=#:G102078 |i| #20=#:G102070
- #21=#:G102068 #22=#:G102069)
- (RETURN
- (SEQ
- (EXIT
- (SEQ
- (LETT |ll|
- (SPADCALL (SPADCALL |mat| (QREFELT |$| 137)) (QREFELT |$| 92))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |llR|
- (PROGN (LETT #1# NIL |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |z| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #2# (|SPADfirst| |ll|) |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |z| (CAR #2#) |POLYCAT-;conditionP;MU;27|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1# (CONS NIL #1#) |POLYCAT-;conditionP;MU;27|)))
- (LETT #2# (CDR #2#) |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |monslist| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT |ch|
- (SPADCALL (QREFELT |$| 138))
- |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |l| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #3# |ll| |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #3#)
- (PROGN
- (LETT |l| (CAR #3#) |POLYCAT-;conditionP;MU;27|)
- NIL))
- (GO G191)))
- (SEQ
- (LETT |mons|
- (PROGN
- (LETT #7# NIL |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |u| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #4# |l| |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #4#)
- (PROGN
- (LETT |u| (CAR #4#) |POLYCAT-;conditionP;MU;27|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (PROGN
- (LETT #5#
- (SPADCALL |u| (QREFELT |$| 77))
- |POLYCAT-;conditionP;MU;27|)
- (COND
- (#7#
- (LETT #6#
- (SPADCALL #6# #5# (QREFELT |$| 139))
- |POLYCAT-;conditionP;MU;27|))
- ((QUOTE T)
- (PROGN
- (LETT #6# #5# |POLYCAT-;conditionP;MU;27|)
- (LETT #7#
- (QUOTE T)
- |POLYCAT-;conditionP;MU;27|)))))))
- (LETT #4# (CDR #4#) |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT NIL))
- (COND
- (#7# #6#)
- ((QUOTE T) (|IdentityError| (QUOTE |setUnion|)))))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |redmons| NIL |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |m| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #8# |mons| |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #8#)
- (PROGN
- (LETT |m| (CAR #8#) |POLYCAT-;conditionP;MU;27|)
- NIL))
- (GO G191)))
- (SEQ
- (LETT |vars|
- (SPADCALL |m| (QREFELT |$| 31))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |degs|
- (SPADCALL |m| |vars| (QREFELT |$| 140))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |deg1|
- (PROGN
- (LETT #9# NIL |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |d| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #10# |degs| |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #10#)
- (PROGN
- (LETT |d|
- (CAR #10#)
- |POLYCAT-;conditionP;MU;27|)
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |bj| (CAR #3#)
+ |POLYCAT-;reducedSystem;MVR;21|)
NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #9#
- (CONS
- (SEQ
- (LETT |nd|
- (SPADCALL |d| |ch| (QREFELT |$| 142))
- |POLYCAT-;conditionP;MU;27|)
- (EXIT
- (COND
- ((QEQCAR |nd| 1)
- (PROGN
- (LETT #11#
- (CONS 1 "failed")
- |POLYCAT-;conditionP;MU;27|)
- (GO #11#)))
- ((QUOTE T)
- (PROG1
- (LETT #12#
- (QCDR |nd|)
- |POLYCAT-;conditionP;MU;27|)
- (|check-subtype|
- (|>=| #12# 0)
- (QUOTE (|NonNegativeInteger|))
- #12#))))))
- #9#)
- |POLYCAT-;conditionP;MU;27|)))
- (LETT #10# (CDR #10#) |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #9#))))
- |POLYCAT-;conditionP;MU;27|)
- (LETT |redmons|
- (CONS
- (SPADCALL
- (|spadConstant| |$| 33)
- |vars|
- |deg1|
- (QREFELT |$| 54))
- |redmons|)
- |POLYCAT-;conditionP;MU;27|)
- (EXIT
- (LETT |llR|
- (PROGN
- (LETT #13# NIL |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |v| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #14# |llR| |POLYCAT-;conditionP;MU;27|)
- (LETT |u| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #15# |l| |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #15#)
- (PROGN
- (LETT |u|
- (CAR #15#)
+ (GO G191)))
+ (SEQ (EXIT (LETT #2#
+ (CONS
+ (SPADCALL |bj| (QREFELT $ 60))
+ #2#)
+ |POLYCAT-;reducedSystem;MVR;21|)))
+ (LETT #3# (CDR #3#)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (GO G190) G191 (EXIT (NREVERSE0 #2#))))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |n| (LENGTH |d|) |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |mm| (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d| $)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |w| (|POLYCAT-;P2R| (|SPADfirst| |r|) |d| |n| $)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |l| (CDR |l|) |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |r| (CDR |r|) |POLYCAT-;reducedSystem;MVR;21|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |l|) (QREFELT $ 25)))
+ (GO G191)))
+ (SEQ (LETT |mm|
+ (SPADCALL |mm|
+ (|POLYCAT-;eq2R| (|SPADfirst| |l|) |d|
+ $)
+ (QREFELT $ 94))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |w|
+ (SPADCALL |w|
+ (|POLYCAT-;P2R| (|SPADfirst| |r|) |d|
+ |n| $)
+ (QREFELT $ 100))
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (LETT |l| (CDR |l|)
+ |POLYCAT-;reducedSystem;MVR;21|)
+ (EXIT (LETT |r| (CDR |r|)
+ |POLYCAT-;reducedSystem;MVR;21|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (CONS |mm| |w|))))))
+
+(DEFUN |POLYCAT-;gcdPolynomial;3Sup;22| (|pp| |qq| $)
+ (SPADCALL |pp| |qq| (QREFELT $ 105)))
+
+(DEFUN |POLYCAT-;solveLinearPolynomialEquation;LSupU;23| (|lpp| |pp| $)
+ (SPADCALL |lpp| |pp| (QREFELT $ 110)))
+
+(DEFUN |POLYCAT-;factorPolynomial;SupF;24| (|pp| $)
+ (SPADCALL |pp| (QREFELT $ 115)))
+
+(DEFUN |POLYCAT-;factorSquareFreePolynomial;SupF;25| (|pp| $)
+ (SPADCALL |pp| (QREFELT $ 118)))
+
+(DEFUN |POLYCAT-;factor;SF;26| (|p| $)
+ (PROG (|v| |ansR| #0=#:G1589 |w| #1=#:G1590 |up| |ansSUP| #2=#:G1591
+ |ww| #3=#:G1592)
+ (RETURN
+ (SEQ (LETT |v| (SPADCALL |p| (QREFELT $ 43))
+ |POLYCAT-;factor;SF;26|)
+ (EXIT (COND
+ ((QEQCAR |v| 1)
+ (SEQ (LETT |ansR|
+ (SPADCALL (SPADCALL |p| (QREFELT $ 39))
+ (QREFELT $ 121))
+ |POLYCAT-;factor;SF;26|)
+ (EXIT (SPADCALL
+ (SPADCALL
+ (SPADCALL |ansR| (QREFELT $ 123))
+ (QREFELT $ 41))
+ (PROGN
+ (LETT #0# NIL
+ |POLYCAT-;factor;SF;26|)
+ (SEQ
+ (LETT |w| NIL
+ |POLYCAT-;factor;SF;26|)
+ (LETT #1#
+ (SPADCALL |ansR|
+ (QREFELT $ 127))
+ |POLYCAT-;factor;SF;26|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |w| (CAR #1#)
+ |POLYCAT-;factor;SF;26|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #0#
+ (CONS
+ (VECTOR (QVELT |w| 0)
+ (SPADCALL (QVELT |w| 1)
+ (QREFELT $ 41))
+ (QVELT |w| 2))
+ #0#)
+ |POLYCAT-;factor;SF;26|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;factor;SF;26|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 131)))))
+ ('T
+ (SEQ (LETT |up|
+ (SPADCALL |p| (QCDR |v|) (QREFELT $ 48))
+ |POLYCAT-;factor;SF;26|)
+ (LETT |ansSUP| (SPADCALL |up| (QREFELT $ 115))
+ |POLYCAT-;factor;SF;26|)
+ (EXIT (SPADCALL
+ (SPADCALL
+ (SPADCALL |ansSUP| (QREFELT $ 132))
+ (QCDR |v|) (QREFELT $ 133))
+ (PROGN
+ (LETT #2# NIL
+ |POLYCAT-;factor;SF;26|)
+ (SEQ
+ (LETT |ww| NIL
+ |POLYCAT-;factor;SF;26|)
+ (LETT #3#
+ (SPADCALL |ansSUP|
+ (QREFELT $ 136))
+ |POLYCAT-;factor;SF;26|)
+ G190
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |ww| (CAR #3#)
+ |POLYCAT-;factor;SF;26|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #2#
+ (CONS
+ (VECTOR (QVELT |ww| 0)
+ (SPADCALL (QVELT |ww| 1)
+ (QCDR |v|) (QREFELT $ 133))
+ (QVELT |ww| 2))
+ #2#)
+ |POLYCAT-;factor;SF;26|)))
+ (LETT #3# (CDR #3#)
+ |POLYCAT-;factor;SF;26|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #2#))))
+ (QREFELT $ 131)))))))))))
+
+(DEFUN |POLYCAT-;conditionP;MU;27| (|mat| $)
+ (PROG (|ll| #0=#:G1627 |z| #1=#:G1628 |ch| |l| #2=#:G1629 #3=#:G1630
+ #4=#:G1599 #5=#:G1597 #6=#:G1598 #7=#:G1631 |vars| |degs|
+ #8=#:G1632 |d| #9=#:G1633 |nd| #10=#:G1626 #11=#:G1606
+ |deg1| |redmons| #12=#:G1634 |v| #13=#:G1636 |u|
+ #14=#:G1635 |llR| |monslist| |ans| #15=#:G1637
+ #16=#:G1638 |mons| #17=#:G1639 |m| #18=#:G1640 |i|
+ #19=#:G1622 #20=#:G1620 #21=#:G1621)
+ (RETURN
+ (SEQ (EXIT (SEQ (LETT |ll|
+ (SPADCALL (SPADCALL |mat| (QREFELT $ 138))
+ (QREFELT $ 93))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |llR|
+ (PROGN
+ (LETT #0# NIL
|POLYCAT-;conditionP;MU;27|)
- NIL)
- (ATOM #14#)
- (PROGN
- (LETT |v|
- (CAR #14#)
+ (SEQ (LETT |z| NIL
|POLYCAT-;conditionP;MU;27|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #13#
- (CONS
- (CONS
- (SPADCALL
- (SPADCALL
- |u|
- |vars|
- |degs|
- (QREFELT |$| 52))
- (QREFELT |$| 143))
- |v|)
- #13#)
- |POLYCAT-;conditionP;MU;27|)))
- (LETT #15#
- (PROG1
- (CDR #15#)
- (LETT #14#
- (CDR #14#)
- |POLYCAT-;conditionP;MU;27|))
- |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #13#))))
- |POLYCAT-;conditionP;MU;27|)))
- (LETT #8# (CDR #8#) |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT
- (LETT |monslist|
- (CONS |redmons| |monslist|)
- |POLYCAT-;conditionP;MU;27|)))
- (LETT #3# (CDR #3#) |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT NIL))
- (LETT |ans|
- (SPADCALL
- (SPADCALL
- (SPADCALL |llR| (QREFELT |$| 89))
- (QREFELT |$| 144))
- (QREFELT |$| 146))
- |POLYCAT-;conditionP;MU;27|)
- (EXIT
- (COND
- ((QEQCAR |ans| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (SEQ
- (LETT |i| 0 |POLYCAT-;conditionP;MU;27|)
- (EXIT
- (CONS
- 0
- (PRIMVEC2ARR
- (PROGN
- (LETT #16#
- (GETREFV (SIZE |monslist|))
- |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT #17# 0 |POLYCAT-;conditionP;MU;27|)
- (LETT |mons| NIL |POLYCAT-;conditionP;MU;27|)
- (LETT #18#
- |monslist|
- |POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #18#)
- (PROGN
- (LETT |mons|
- (CAR #18#)
- |POLYCAT-;conditionP;MU;27|)
+ (LETT #1# (|SPADfirst| |ll|)
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |z| (CAR #1#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #0# (CONS NIL #0#)
+ |POLYCAT-;conditionP;MU;27|)))
+ (LETT #1# (CDR #1#)
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #0#))))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |monslist| NIL |POLYCAT-;conditionP;MU;27|)
+ (LETT |ch| (SPADCALL (QREFELT $ 139))
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ (LETT |l| NIL |POLYCAT-;conditionP;MU;27|)
+ (LETT #2# |ll| |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #2#)
+ (PROGN
+ (LETT |l| (CAR #2#)
+ |POLYCAT-;conditionP;MU;27|)
NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (SETELT
- #16#
- #17#
- (PROGN
- (LETT #22#
- NIL
- |POLYCAT-;conditionP;MU;27|)
- (SEQ
- (LETT |m|
- NIL
+ (GO G191)))
+ (SEQ (LETT |mons|
+ (PROGN
+ (LETT #6# NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ
+ (LETT |u| NIL
|POLYCAT-;conditionP;MU;27|)
- (LETT #19#
- |mons|
+ (LETT #3# |l|
|POLYCAT-;conditionP;MU;27|)
- G190
- (COND
- ((OR
- (ATOM #19#)
- (PROGN
- (LETT |m|
- (CAR #19#)
+ G190
+ (COND
+ ((OR (ATOM #3#)
+ (PROGN
+ (LETT |u| (CAR #3#)
|POLYCAT-;conditionP;MU;27|)
NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (PROGN
- (LETT #20#
- (SPADCALL |m|
- (SPADCALL
- (SPADCALL
- (QCDR |ans|)
- (LETT |i|
- (|+| |i| 1)
- |POLYCAT-;conditionP;MU;27|)
- (QREFELT |$| 147))
- (QREFELT |$| 40))
- (QREFELT |$| 148))
- |POLYCAT-;conditionP;MU;27|)
- (COND
- (#22#
- (LETT #21#
- (SPADCALL #21# #20#
- (QREFELT |$| 149))
- |POLYCAT-;conditionP;MU;27|))
- ((QUOTE T)
- (PROGN
- (LETT #21# #20#
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (PROGN
+ (LETT #4#
+ (SPADCALL |u|
+ (QREFELT $ 78))
+ |POLYCAT-;conditionP;MU;27|)
+ (COND
+ (#6#
+ (LETT #5#
+ (SPADCALL #5# #4#
+ (QREFELT $ 140))
+ |POLYCAT-;conditionP;MU;27|))
+ ('T
+ (PROGN
+ (LETT #5# #4#
|POLYCAT-;conditionP;MU;27|)
- (LETT #22# (QUOTE T)
- |POLYCAT-;conditionP;MU;27|)))))))
- (LETT #19# (CDR #19#)
+ (LETT #6# 'T
+ |POLYCAT-;conditionP;MU;27|)))))))
+ (LETT #3# (CDR #3#)
|POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT NIL))
- (COND
- (#22# #21#)
- ((QUOTE T)
- (|spadConstant| |$| 21)))))))
- (LETT #18#
- (PROG1
- (CDR #18#)
- (LETT #17#
- (QSADD1 #17#)
- |POLYCAT-;conditionP;MU;27|))
- |POLYCAT-;conditionP;MU;27|)
- (GO G190)
- G191
- (EXIT NIL))
- #16#))))))))))
- #11#
- (EXIT #11#)))))
-
-(DEFUN |POLYCAT-;charthRoot;SU;28| (|p| |$|)
- (PROG (|vars| |ans| |ch|)
- (RETURN
- (SEQ
- (LETT |vars|
- (SPADCALL |p| (QREFELT |$| 31)) |POLYCAT-;charthRoot;SU;28|)
- (EXIT
- (COND
- ((NULL |vars|)
- (SEQ
- (LETT |ans|
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 143))
- (QREFELT |$| 151))
- |POLYCAT-;charthRoot;SU;28|)
- (EXIT
- (COND
- ((QEQCAR |ans| 1)
- (CONS 1 "failed"))
- ((QUOTE T)
- (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT |$| 40))))))))
- ((QUOTE T)
- (SEQ
- (LETT |ch|
- (SPADCALL (QREFELT |$| 138))
- |POLYCAT-;charthRoot;SU;28|)
- (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch| |$|))))))))))
-
-(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| |$|)
- (PROG (|v| |dd| |cp| |d| #1=#:G102109 |ans| |ansx| #2=#:G102116)
- (RETURN
- (SEQ
- (EXIT
- (COND
- ((NULL |vars|)
- (SEQ
- (LETT |ans|
- (SPADCALL (SPADCALL |p| (QREFELT |$| 143)) (QREFELT |$| 151))
- |POLYCAT-;charthRootlv|)
- (EXIT
- (COND
- ((QEQCAR |ans| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (CONS 0 (SPADCALL (QCDR |ans|) (QREFELT |$| 40))))))))
- ((QUOTE T)
- (SEQ
- (LETT |v| (|SPADfirst| |vars|) |POLYCAT-;charthRootlv|)
- (LETT |vars| (CDR |vars|) |POLYCAT-;charthRootlv|)
- (LETT |d|
- (SPADCALL |p| |v| (QREFELT |$| 36))
- |POLYCAT-;charthRootlv|)
- (LETT |ans| (|spadConstant| |$| 21) |POLYCAT-;charthRootlv|)
- (SEQ G190
- (COND ((NULL (|<| 0 |d|)) (GO G191)))
- (SEQ
- (LETT |dd|
- (SPADCALL |d| |ch| (QREFELT |$| 142))
- |POLYCAT-;charthRootlv|)
- (EXIT
- (COND
- ((QEQCAR |dd| 1)
- (PROGN
- (LETT #2#
- (CONS 1 "failed")
- |POLYCAT-;charthRootlv|)
- (GO #2#)))
- ((QUOTE T)
- (SEQ
- (LETT |cp|
- (SPADCALL |p| |v| |d| (QREFELT |$| 154))
- |POLYCAT-;charthRootlv|)
- (LETT |p|
- (SPADCALL |p|
- (SPADCALL |cp| |v| |d| (QREFELT |$| 37))
- (QREFELT |$| 155))
- |POLYCAT-;charthRootlv|)
- (LETT |ansx|
- (|POLYCAT-;charthRootlv| |cp| |vars| |ch| |$|)
- |POLYCAT-;charthRootlv|)
- (EXIT
- (COND
- ((QEQCAR |ansx| 1)
- (PROGN
- (LETT #2#
- (CONS 1 "failed")
- |POLYCAT-;charthRootlv|)
- (GO #2#)))
- ((QUOTE T)
- (SEQ
- (LETT |d|
- (SPADCALL |p| |v| (QREFELT |$| 36))
- |POLYCAT-;charthRootlv|)
- (EXIT
- (LETT |ans|
- (SPADCALL |ans|
- (SPADCALL
- (QCDR |ansx|)
- |v|
- (PROG1
- (LETT #1#
- (QCDR |dd|)
- |POLYCAT-;charthRootlv|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- (QREFELT |$| 37))
- (QREFELT |$| 149))
- |POLYCAT-;charthRootlv|)))))))))))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (LETT |ansx|
- (|POLYCAT-;charthRootlv| |p| |vars| |ch| |$|)
- |POLYCAT-;charthRootlv|)
- (EXIT
- (COND
- ((QEQCAR |ansx| 1)
- (PROGN
- (LETT #2# (CONS 1 "failed") |POLYCAT-;charthRootlv|)
- (GO #2#)))
- ((QUOTE T)
- (PROGN
- (LETT #2#
- (CONS
- 0
- (SPADCALL |ans| (QCDR |ansx|) (QREFELT |$| 149)))
- |POLYCAT-;charthRootlv|)
- (GO #2#)))))))))
- #2#
- (EXIT #2#)))))
-
-(DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| |$|)
- (PROG (|result|)
- (RETURN
- (SEQ
- (LETT |result|
- (SPADCALL
- (SPADCALL |p1| |mvar| (QREFELT |$| 47))
- (SPADCALL |p2| |mvar| (QREFELT |$| 47))
- (QREFELT |$| 157))
- |POLYCAT-;monicDivide;2SVarSetR;30|)
- (EXIT
- (CONS
- (SPADCALL (QCAR |result|) |mvar| (QREFELT |$| 132))
- (SPADCALL (QCDR |result|) |mvar| (QREFELT |$| 132))))))))
-
-(DEFUN |POLYCAT-;squareFree;SF;31| (|p| |$|)
- (SPADCALL |p| (QREFELT |$| 160)))
-
-(DEFUN |POLYCAT-;squareFree;SF;32| (|p| |$|)
- (SPADCALL |p| (QREFELT |$| 163)))
-
-(DEFUN |POLYCAT-;squareFree;SF;33| (|p| |$|)
- (SPADCALL |p| (QREFELT |$| 163)))
-
-(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| |$|)
- (PROG (|s| |f| #1=#:G102132 #2=#:G102130 #3=#:G102128 #4=#:G102129)
- (RETURN
- (SEQ
- (SPADCALL
- (SPADCALL
- (LETT |s|
- (SPADCALL |p| (QREFELT |$| 164))
- |POLYCAT-;squareFreePart;2S;34|)
- (QREFELT |$| 165))
- (PROGN
- (LETT #4# NIL |POLYCAT-;squareFreePart;2S;34|)
- (SEQ
- (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|)
- (LETT #1#
- (SPADCALL |s| (QREFELT |$| 168))
- |POLYCAT-;squareFreePart;2S;34|)
- G190
- (COND
- ((OR
- (ATOM #1#)
- (PROGN
- (LETT |f| (CAR #1#) |POLYCAT-;squareFreePart;2S;34|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (PROGN
- (LETT #2# (QCAR |f|) |POLYCAT-;squareFreePart;2S;34|)
- (COND
- (#4#
- (LETT #3#
- (SPADCALL #3# #2# (QREFELT |$| 148))
- |POLYCAT-;squareFreePart;2S;34|))
- ((QUOTE T)
- (PROGN
- (LETT #3# #2# |POLYCAT-;squareFreePart;2S;34|)
- (LETT #4#
- (QUOTE T)
- |POLYCAT-;squareFreePart;2S;34|)))))))
- (LETT #1# (CDR #1#) |POLYCAT-;squareFreePart;2S;34|)
- (GO G190)
- G191
- (EXIT NIL))
- (COND
- (#4# #3#)
- ((QUOTE T) (|spadConstant| |$| 33))))
- (QREFELT |$| 148))))))
-
-(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| |$|)
- (SPADCALL (SPADCALL |p| |v| (QREFELT |$| 47)) (QREFELT |$| 170)))
-
-(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| |$|)
- (PROG (#1=#:G102135)
- (RETURN
- (QVELT
- (SPADCALL
- (PROG2
- (LETT #1#
- (SPADCALL |p| (SPADCALL |p| (QREFELT |$| 172)) (QREFELT |$| 173))
- |POLYCAT-;primitivePart;2S;36|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#))
- (QREFELT |$| 175))
- 1))))
-
-(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| |$|)
- (PROG (#1=#:G102141)
- (RETURN
- (QVELT
- (SPADCALL
- (PROG2
- (LETT #1#
- (SPADCALL |p|
- (SPADCALL |p| |v| (QREFELT |$| 177))
- (QREFELT |$| 178))
- |POLYCAT-;primitivePart;SVarSetS;37|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#))
- (QREFELT |$| 175)) 1))))
-
-(DEFUN |POLYCAT-;<;2SB;38| (|p| |q| |$|)
- (PROG (|dp| |dq|)
- (RETURN
- (SEQ
- (LETT |dp| (SPADCALL |p| (QREFELT |$| 59)) |POLYCAT-;<;2SB;38|)
- (LETT |dq| (SPADCALL |q| (QREFELT |$| 59)) |POLYCAT-;<;2SB;38|)
- (EXIT
- (COND
- ((SPADCALL |dp| |dq| (QREFELT |$| 180))
- (SPADCALL
- (|spadConstant| |$| 22)
- (SPADCALL |q| (QREFELT |$| 38))
- (QREFELT |$| 181)))
- ((SPADCALL |dq| |dp| (QREFELT |$| 180))
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 38))
- (|spadConstant| |$| 22)
- (QREFELT |$| 181)))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL
- (SPADCALL |p| |q| (QREFELT |$| 155))
- (QREFELT |$| 38))
- (|spadConstant| |$| 22)
- (QREFELT |$| 181)))))))))
-
-(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| |$|)
- (SPADCALL |p| |pat| |l| (QREFELT |$| 186)))
-
-(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| |$|)
- (SPADCALL |p| |pat| |l| (QREFELT |$| 192)))
-
-(DEFUN |POLYCAT-;convert;SP;41| (|x| |$|)
- (SPADCALL (ELT |$| 195) (ELT |$| 196) |x| (QREFELT |$| 200)))
-
-(DEFUN |POLYCAT-;convert;SP;42| (|x| |$|)
- (SPADCALL (ELT |$| 202) (ELT |$| 203) |x| (QREFELT |$| 207)))
-
-(DEFUN |POLYCAT-;convert;SIf;43| (|p| |$|)
- (SPADCALL (ELT |$| 210) (ELT |$| 211) |p| (QREFELT |$| 215)))
-
-(DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|)
- (PROG (|DV$1| |DV$2| |DV$3| |DV$4| |dv$| |$| |pv$|)
- (RETURN
- (PROGN
- (LETT |DV$1| (|devaluate| |#1|) . #1=(|PolynomialCategory&|))
- (LETT |DV$2| (|devaluate| |#2|) . #1#)
- (LETT |DV$3| (|devaluate| |#3|) . #1#)
- (LETT |DV$4| (|devaluate| |#4|) . #1#)
- (LETT |dv$|
- (LIST
- (QUOTE |PolynomialCategory&|) |DV$1| |DV$2| |DV$3| |DV$4|) . #1#)
- (LETT |$| (GETREFV 225) . #1#)
- (QSETREFV |$| 0 |dv$|)
- (QSETREFV |$| 3
- (LETT |pv$|
- (|buildPredVector| 0 0
- (LIST
- (|HasCategory| |#2|
- (QUOTE (|PolynomialFactorizationExplicit|)))
- (|HasAttribute| |#2| (QUOTE |canonicalUnitNormal|))
- (|HasCategory| |#2| (QUOTE (|GcdDomain|)))
- (|HasCategory| |#2| (QUOTE (|CommutativeRing|)))
- (|HasCategory| |#4| (QUOTE (|PatternMatchable| (|Float|))))
- (|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Float|))))
- (|HasCategory| |#4| (QUOTE (|PatternMatchable| (|Integer|))))
- (|HasCategory| |#2| (QUOTE (|PatternMatchable| (|Integer|))))
- (|HasCategory| |#4|
- (QUOTE (|ConvertibleTo| (|Pattern| (|Float|)))))
- (|HasCategory| |#2|
- (QUOTE (|ConvertibleTo| (|Pattern| (|Float|)))))
- (|HasCategory| |#4|
- (QUOTE (|ConvertibleTo| (|Pattern| (|Integer|)))))
- (|HasCategory| |#2|
- (QUOTE (|ConvertibleTo| (|Pattern| (|Integer|)))))
- (|HasCategory| |#4| (QUOTE (|ConvertibleTo| (|InputForm|))))
- (|HasCategory| |#2| (QUOTE (|ConvertibleTo| (|InputForm|))))
- (|HasCategory| |#2| (QUOTE (|OrderedSet|))))) . #1#))
- (|stuffDomainSlots| |$|)
- (QSETREFV |$| 6 |#1|)
- (QSETREFV |$| 7 |#2|)
- (QSETREFV |$| 8 |#3|)
- (QSETREFV |$| 9 |#4|)
- (COND
+ (GO G190) G191 (EXIT NIL))
+ (COND
+ (#6# #5#)
+ ('T
+ (|IdentityError|
+ '|setUnion|))))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |redmons| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ (LETT |m| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #7# |mons|
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #7#)
+ (PROGN
+ (LETT |m| (CAR #7#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (LETT |vars|
+ (SPADCALL |m| (QREFELT $ 32))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |degs|
+ (SPADCALL |m| |vars|
+ (QREFELT $ 141))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |deg1|
+ (PROGN
+ (LETT #8# NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ
+ (LETT |d| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #9# |degs|
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #9#)
+ (PROGN
+ (LETT |d| (CAR #9#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #8#
+ (CONS
+ (SEQ
+ (LETT |nd|
+ (SPADCALL |d| |ch|
+ (QREFELT $ 143))
+ |POLYCAT-;conditionP;MU;27|)
+ (EXIT
+ (COND
+ ((QEQCAR |nd| 1)
+ (PROGN
+ (LETT #10#
+ (CONS 1 "failed")
+ |POLYCAT-;conditionP;MU;27|)
+ (GO #10#)))
+ ('T
+ (PROG1
+ (LETT #11#
+ (QCDR |nd|)
+ |POLYCAT-;conditionP;MU;27|)
+ (|check-subtype|
+ (>= #11# 0)
+ '(|NonNegativeInteger|)
+ #11#))))))
+ #8#)
+ |POLYCAT-;conditionP;MU;27|)))
+ (LETT #9# (CDR #9#)
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #8#))))
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |redmons|
+ (CONS
+ (SPADCALL (|spadConstant| $ 34)
+ |vars| |deg1| (QREFELT $ 55))
+ |redmons|)
+ |POLYCAT-;conditionP;MU;27|)
+ (EXIT
+ (LETT |llR|
+ (PROGN
+ (LETT #12# NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ
+ (LETT |v| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #13# |llR|
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |u| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #14# |l|
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #14#)
+ (PROGN
+ (LETT |u| (CAR #14#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL)
+ (ATOM #13#)
+ (PROGN
+ (LETT |v| (CAR #13#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #12#
+ (CONS
+ (CONS
+ (SPADCALL
+ (SPADCALL |u| |vars|
+ |degs|
+ (QREFELT $ 53))
+ (QREFELT $ 144))
+ |v|)
+ #12#)
+ |POLYCAT-;conditionP;MU;27|)))
+ (LETT #14#
+ (PROG1 (CDR #14#)
+ (LETT #13# (CDR #13#)
+ |POLYCAT-;conditionP;MU;27|))
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #12#))))
+ |POLYCAT-;conditionP;MU;27|)))
+ (LETT #7# (CDR #7#)
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT (LETT |monslist|
+ (CONS |redmons| |monslist|)
+ |POLYCAT-;conditionP;MU;27|)))
+ (LETT #2# (CDR #2#)
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191 (EXIT NIL))
+ (LETT |ans|
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |llR| (QREFELT $ 90))
+ (QREFELT $ 145))
+ (QREFELT $ 147))
+ |POLYCAT-;conditionP;MU;27|)
+ (EXIT (COND
+ ((QEQCAR |ans| 1) (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |i| 0
+ |POLYCAT-;conditionP;MU;27|)
+ (EXIT
+ (CONS 0
+ (PRIMVEC2ARR
+ (PROGN
+ (LETT #15#
+ (GETREFV (SIZE |monslist|))
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ
+ (LETT #16# 0
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT |mons| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #17# |monslist|
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #17#)
+ (PROGN
+ (LETT |mons| (CAR #17#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (SETELT #15# #16#
+ (PROGN
+ (LETT #21# NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (SEQ
+ (LETT |m| NIL
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #18# |mons|
+ |POLYCAT-;conditionP;MU;27|)
+ G190
+ (COND
+ ((OR (ATOM #18#)
+ (PROGN
+ (LETT |m|
+ (CAR #18#)
+ |POLYCAT-;conditionP;MU;27|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (PROGN
+ (LETT #19#
+ (SPADCALL |m|
+ (SPADCALL
+ (SPADCALL
+ (QCDR |ans|)
+ (LETT |i|
+ (+ |i| 1)
+ |POLYCAT-;conditionP;MU;27|)
+ (QREFELT $ 148))
+ (QREFELT $ 41))
+ (QREFELT $ 149))
+ |POLYCAT-;conditionP;MU;27|)
+ (COND
+ (#21#
+ (LETT #20#
+ (SPADCALL #20#
+ #19#
+ (QREFELT $
+ 150))
+ |POLYCAT-;conditionP;MU;27|))
+ ('T
+ (PROGN
+ (LETT #20#
+ #19#
+ |POLYCAT-;conditionP;MU;27|)
+ (LETT #21# 'T
+ |POLYCAT-;conditionP;MU;27|)))))))
+ (LETT #18# (CDR #18#)
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191
+ (EXIT NIL))
+ (COND
+ (#21# #20#)
+ ('T
+ (|spadConstant| $ 21)))))))
+ (LETT #17#
+ (PROG1 (CDR #17#)
+ (LETT #16# (QSADD1 #16#)
+ |POLYCAT-;conditionP;MU;27|))
+ |POLYCAT-;conditionP;MU;27|)
+ (GO G190) G191 (EXIT NIL))
+ #15#))))))))))
+ #10# (EXIT #10#)))))
+
+(DEFUN |POLYCAT-;charthRoot;SU;28| (|p| $)
+ (PROG (|vars| |ans| |ch|)
+ (RETURN
+ (SEQ (LETT |vars| (SPADCALL |p| (QREFELT $ 32))
+ |POLYCAT-;charthRoot;SU;28|)
+ (EXIT (COND
+ ((NULL |vars|)
+ (SEQ (LETT |ans|
+ (SPADCALL (SPADCALL |p| (QREFELT $ 144))
+ (QREFELT $ 152))
+ |POLYCAT-;charthRoot;SU;28|)
+ (EXIT (COND
+ ((QEQCAR |ans| 1) (CONS 1 "failed"))
+ ('T
+ (CONS 0
+ (SPADCALL (QCDR |ans|)
+ (QREFELT $ 41))))))))
+ ('T
+ (SEQ (LETT |ch| (SPADCALL (QREFELT $ 139))
+ |POLYCAT-;charthRoot;SU;28|)
+ (EXIT (|POLYCAT-;charthRootlv| |p| |vars| |ch|
+ $))))))))))
+
+(DEFUN |POLYCAT-;charthRootlv| (|p| |vars| |ch| $)
+ (PROG (|v| |dd| |cp| |d| #0=#:G1661 |ans| |ansx| #1=#:G1668)
+ (RETURN
+ (SEQ (EXIT (COND
+ ((NULL |vars|)
+ (SEQ (LETT |ans|
+ (SPADCALL (SPADCALL |p| (QREFELT $ 144))
+ (QREFELT $ 152))
+ |POLYCAT-;charthRootlv|)
+ (EXIT (COND
+ ((QEQCAR |ans| 1) (CONS 1 "failed"))
+ ('T
+ (CONS 0
+ (SPADCALL (QCDR |ans|)
+ (QREFELT $ 41))))))))
+ ('T
+ (SEQ (LETT |v| (|SPADfirst| |vars|)
+ |POLYCAT-;charthRootlv|)
+ (LETT |vars| (CDR |vars|)
+ |POLYCAT-;charthRootlv|)
+ (LETT |d| (SPADCALL |p| |v| (QREFELT $ 37))
+ |POLYCAT-;charthRootlv|)
+ (LETT |ans| (|spadConstant| $ 21)
+ |POLYCAT-;charthRootlv|)
+ (SEQ G190 (COND ((NULL (< 0 |d|)) (GO G191)))
+ (SEQ (LETT |dd|
+ (SPADCALL |d| |ch| (QREFELT $ 143))
+ |POLYCAT-;charthRootlv|)
+ (EXIT
+ (COND
+ ((QEQCAR |dd| 1)
+ (PROGN
+ (LETT #1# (CONS 1 "failed")
+ |POLYCAT-;charthRootlv|)
+ (GO #1#)))
+ ('T
+ (SEQ
+ (LETT |cp|
+ (SPADCALL |p| |v| |d|
+ (QREFELT $ 155))
+ |POLYCAT-;charthRootlv|)
+ (LETT |p|
+ (SPADCALL |p|
+ (SPADCALL |cp| |v| |d|
+ (QREFELT $ 38))
+ (QREFELT $ 156))
+ |POLYCAT-;charthRootlv|)
+ (LETT |ansx|
+ (|POLYCAT-;charthRootlv| |cp|
+ |vars| |ch| $)
+ |POLYCAT-;charthRootlv|)
+ (EXIT
+ (COND
+ ((QEQCAR |ansx| 1)
+ (PROGN
+ (LETT #1#
+ (CONS 1 "failed")
+ |POLYCAT-;charthRootlv|)
+ (GO #1#)))
+ ('T
+ (SEQ
+ (LETT |d|
+ (SPADCALL |p| |v|
+ (QREFELT $ 37))
+ |POLYCAT-;charthRootlv|)
+ (EXIT
+ (LETT |ans|
+ (SPADCALL |ans|
+ (SPADCALL (QCDR |ansx|)
+ |v|
+ (PROG1
+ (LETT #0# (QCDR |dd|)
+ |POLYCAT-;charthRootlv|)
+ (|check-subtype|
+ (>= #0# 0)
+ '(|NonNegativeInteger|)
+ #0#))
+ (QREFELT $ 38))
+ (QREFELT $ 150))
+ |POLYCAT-;charthRootlv|)))))))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (LETT |ansx|
+ (|POLYCAT-;charthRootlv| |p| |vars| |ch|
+ $)
+ |POLYCAT-;charthRootlv|)
+ (EXIT (COND
+ ((QEQCAR |ansx| 1)
+ (PROGN
+ (LETT #1# (CONS 1 "failed")
+ |POLYCAT-;charthRootlv|)
+ (GO #1#)))
+ ('T
+ (PROGN
+ (LETT #1#
+ (CONS 0
+ (SPADCALL |ans| (QCDR |ansx|)
+ (QREFELT $ 150)))
+ |POLYCAT-;charthRootlv|)
+ (GO #1#)))))))))
+ #1# (EXIT #1#)))))
+
+(DEFUN |POLYCAT-;monicDivide;2SVarSetR;30| (|p1| |p2| |mvar| $)
+ (PROG (|result|)
+ (RETURN
+ (SEQ (LETT |result|
+ (SPADCALL (SPADCALL |p1| |mvar| (QREFELT $ 48))
+ (SPADCALL |p2| |mvar| (QREFELT $ 48))
+ (QREFELT $ 158))
+ |POLYCAT-;monicDivide;2SVarSetR;30|)
+ (EXIT (CONS (SPADCALL (QCAR |result|) |mvar|
+ (QREFELT $ 133))
+ (SPADCALL (QCDR |result|) |mvar|
+ (QREFELT $ 133))))))))
+
+(DEFUN |POLYCAT-;squareFree;SF;31| (|p| $)
+ (SPADCALL |p| (QREFELT $ 161)))
+
+(DEFUN |POLYCAT-;squareFree;SF;32| (|p| $)
+ (SPADCALL |p| (QREFELT $ 164)))
+
+(DEFUN |POLYCAT-;squareFree;SF;33| (|p| $)
+ (SPADCALL |p| (QREFELT $ 164)))
+
+(DEFUN |POLYCAT-;squareFreePart;2S;34| (|p| $)
+ (PROG (|s| |f| #0=#:G1684 #1=#:G1682 #2=#:G1680 #3=#:G1681)
+ (RETURN
+ (SEQ (SPADCALL
+ (SPADCALL
+ (LETT |s| (SPADCALL |p| (QREFELT $ 165))
+ |POLYCAT-;squareFreePart;2S;34|)
+ (QREFELT $ 166))
+ (PROGN
+ (LETT #3# NIL |POLYCAT-;squareFreePart;2S;34|)
+ (SEQ (LETT |f| NIL |POLYCAT-;squareFreePart;2S;34|)
+ (LETT #0# (SPADCALL |s| (QREFELT $ 169))
+ |POLYCAT-;squareFreePart;2S;34|)
+ G190
+ (COND
+ ((OR (ATOM #0#)
+ (PROGN
+ (LETT |f| (CAR #0#)
+ |POLYCAT-;squareFreePart;2S;34|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (PROGN
+ (LETT #1# (QCAR |f|)
+ |POLYCAT-;squareFreePart;2S;34|)
+ (COND
+ (#3#
+ (LETT #2#
+ (SPADCALL #2# #1#
+ (QREFELT $ 149))
+ |POLYCAT-;squareFreePart;2S;34|))
+ ('T
+ (PROGN
+ (LETT #2# #1#
+ |POLYCAT-;squareFreePart;2S;34|)
+ (LETT #3# 'T
+ |POLYCAT-;squareFreePart;2S;34|)))))))
+ (LETT #0# (CDR #0#)
+ |POLYCAT-;squareFreePart;2S;34|)
+ (GO G190) G191 (EXIT NIL))
+ (COND (#3# #2#) ('T (|spadConstant| $ 34))))
+ (QREFELT $ 149))))))
+
+(DEFUN |POLYCAT-;content;SVarSetS;35| (|p| |v| $)
+ (SPADCALL (SPADCALL |p| |v| (QREFELT $ 48)) (QREFELT $ 171)))
+
+(DEFUN |POLYCAT-;primitivePart;2S;36| (|p| $)
+ (PROG (#0=#:G1687)
+ (RETURN
+ (QVELT (SPADCALL
+ (PROG2 (LETT #0#
+ (SPADCALL |p|
+ (SPADCALL |p| (QREFELT $ 173))
+ (QREFELT $ 174))
+ |POLYCAT-;primitivePart;2S;36|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#))
+ (QREFELT $ 176))
+ 1))))
+
+(DEFUN |POLYCAT-;primitivePart;SVarSetS;37| (|p| |v| $)
+ (PROG (#0=#:G1693)
+ (RETURN
+ (QVELT (SPADCALL
+ (PROG2 (LETT #0#
+ (SPADCALL |p|
+ (SPADCALL |p| |v| (QREFELT $ 178))
+ (QREFELT $ 179))
+ |POLYCAT-;primitivePart;SVarSetS;37|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#))
+ (QREFELT $ 176))
+ 1))))
+
+(DEFUN |POLYCAT-;<;2SB;38| (|p| |q| $)
+ (PROG (|dp| |dq|)
+ (RETURN
+ (SEQ (LETT |dp| (SPADCALL |p| (QREFELT $ 60))
+ |POLYCAT-;<;2SB;38|)
+ (LETT |dq| (SPADCALL |q| (QREFELT $ 60))
+ |POLYCAT-;<;2SB;38|)
+ (EXIT (COND
+ ((SPADCALL |dp| |dq| (QREFELT $ 181))
+ (SPADCALL (|spadConstant| $ 22)
+ (SPADCALL |q| (QREFELT $ 39)) (QREFELT $ 182)))
+ ((SPADCALL |dq| |dp| (QREFELT $ 181))
+ (SPADCALL (SPADCALL |p| (QREFELT $ 39))
+ (|spadConstant| $ 22) (QREFELT $ 182)))
+ ('T
+ (SPADCALL
+ (SPADCALL (SPADCALL |p| |q| (QREFELT $ 156))
+ (QREFELT $ 39))
+ (|spadConstant| $ 22) (QREFELT $ 182)))))))))
+
+(DEFUN |POLYCAT-;patternMatch;SP2Pmr;39| (|p| |pat| |l| $)
+ (SPADCALL |p| |pat| |l| (QREFELT $ 187)))
+
+(DEFUN |POLYCAT-;patternMatch;SP2Pmr;40| (|p| |pat| |l| $)
+ (SPADCALL |p| |pat| |l| (QREFELT $ 193)))
+
+(DEFUN |POLYCAT-;convert;SP;41| (|x| $)
+ (SPADCALL (ELT $ 196) (ELT $ 197) |x| (QREFELT $ 201)))
+
+(DEFUN |POLYCAT-;convert;SP;42| (|x| $)
+ (SPADCALL (ELT $ 203) (ELT $ 204) |x| (QREFELT $ 208)))
+
+(DEFUN |POLYCAT-;convert;SIf;43| (|p| $)
+ (SPADCALL (ELT $ 211) (ELT $ 212) |p| (QREFELT $ 216)))
+
+(DEFUN |PolynomialCategory&| (|#1| |#2| |#3| |#4|)
+ (PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$1| (|devaluate| |#1|) . #0=(|PolynomialCategory&|))
+ (LETT |dv$2| (|devaluate| |#2|) . #0#)
+ (LETT |dv$3| (|devaluate| |#3|) . #0#)
+ (LETT |dv$4| (|devaluate| |#4|) . #0#)
+ (LETT |dv$|
+ (LIST '|PolynomialCategory&| |dv$1| |dv$2| |dv$3| |dv$4|) . #0#)
+ (LETT $ (GETREFV 226) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3
+ (LETT |pv$|
+ (|buildPredVector| 0 0
+ (LIST (|HasCategory| |#2|
+ '(|PolynomialFactorizationExplicit|))
+ (|HasAttribute| |#2|
+ '|canonicalUnitNormal|)
+ (|HasCategory| |#2| '(|GcdDomain|))
+ (|HasCategory| |#2| '(|CommutativeRing|))
+ (|HasCategory| |#4|
+ '(|PatternMatchable| (|Float|)))
+ (|HasCategory| |#2|
+ '(|PatternMatchable| (|Float|)))
+ (|HasCategory| |#4|
+ '(|PatternMatchable| (|Integer|)))
+ (|HasCategory| |#2|
+ '(|PatternMatchable| (|Integer|)))
+ (|HasCategory| |#4|
+ '(|ConvertibleTo|
+ (|Pattern| (|Float|))))
+ (|HasCategory| |#2|
+ '(|ConvertibleTo|
+ (|Pattern| (|Float|))))
+ (|HasCategory| |#4|
+ '(|ConvertibleTo|
+ (|Pattern| (|Integer|))))
+ (|HasCategory| |#2|
+ '(|ConvertibleTo|
+ (|Pattern| (|Integer|))))
+ (|HasCategory| |#4|
+ '(|ConvertibleTo| (|InputForm|)))
+ (|HasCategory| |#2|
+ '(|ConvertibleTo| (|InputForm|)))
+ (|HasCategory| |#2| '(|OrderedSet|)))) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ (QSETREFV $ 7 |#2|)
+ (QSETREFV $ 8 |#3|)
+ (QSETREFV $ 9 |#4|)
+ (COND
((|testBitVector| |pv$| 4)
- (PROGN
- (QSETREFV |$| 74
- (CONS
- (|dispatchFunction| |POLYCAT-;resultant;2SVarSetS;15|)
- |$|))
- (QSETREFV |$| 76
- (CONS
- (|dispatchFunction| |POLYCAT-;discriminant;SVarSetS;16|)
- |$|)))))
- (COND
- ((|HasCategory| |#2| (QUOTE (|IntegralDomain|)))
- (PROGN
- (QSETREFV |$| 95
- (CONS (|dispatchFunction| |POLYCAT-;reducedSystem;MM;20|) |$|))
- (QSETREFV |$| 102
- (CONS
- (|dispatchFunction| |POLYCAT-;reducedSystem;MVR;21|)
- |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 75
+ (CONS (|dispatchFunction|
+ |POLYCAT-;resultant;2SVarSetS;15|)
+ $))
+ (QSETREFV $ 77
+ (CONS (|dispatchFunction|
+ |POLYCAT-;discriminant;SVarSetS;16|)
+ $)))))
+ (COND
+ ((|HasCategory| |#2| '(|IntegralDomain|))
+ (PROGN
+ (QSETREFV $ 96
+ (CONS (|dispatchFunction|
+ |POLYCAT-;reducedSystem;MM;20|)
+ $))
+ (QSETREFV $ 103
+ (CONS (|dispatchFunction|
+ |POLYCAT-;reducedSystem;MVR;21|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 1)
- (PROGN
- (QSETREFV |$| 105
- (CONS
- (|dispatchFunction| |POLYCAT-;gcdPolynomial;3Sup;22|)
- |$|))
- (QSETREFV |$| 112
- (CONS
- (|dispatchFunction|
- |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)
- |$|))
- (QSETREFV |$| 116
- (CONS
- (|dispatchFunction| |POLYCAT-;factorPolynomial;SupF;24|)
- |$|))
- (QSETREFV |$| 118
- (CONS
- (|dispatchFunction|
- |POLYCAT-;factorSquareFreePolynomial;SupF;25|)
- |$|))
- (QSETREFV |$| 136
- (CONS
- (|dispatchFunction| |POLYCAT-;factor;SF;26|) |$|))
- (COND
- ((|HasCategory| |#2| (QUOTE (|CharacteristicNonZero|)))
- (PROGN
- (QSETREFV |$| 150
- (CONS
- (|dispatchFunction| |POLYCAT-;conditionP;MU;27|)
- |$|))))))))
- (COND
- ((|HasCategory| |#2| (QUOTE (|CharacteristicNonZero|)))
- (PROGN
- (QSETREFV |$| 152
- (CONS
- (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|)
- |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 106
+ (CONS (|dispatchFunction|
+ |POLYCAT-;gcdPolynomial;3Sup;22|)
+ $))
+ (QSETREFV $ 113
+ (CONS (|dispatchFunction|
+ |POLYCAT-;solveLinearPolynomialEquation;LSupU;23|)
+ $))
+ (QSETREFV $ 117
+ (CONS (|dispatchFunction|
+ |POLYCAT-;factorPolynomial;SupF;24|)
+ $))
+ (QSETREFV $ 119
+ (CONS (|dispatchFunction|
+ |POLYCAT-;factorSquareFreePolynomial;SupF;25|)
+ $))
+ (QSETREFV $ 137
+ (CONS (|dispatchFunction| |POLYCAT-;factor;SF;26|) $))
+ (COND
+ ((|HasCategory| |#2| '(|CharacteristicNonZero|))
+ (PROGN
+ (QSETREFV $ 151
+ (CONS (|dispatchFunction|
+ |POLYCAT-;conditionP;MU;27|)
+ $))))))))
+ (COND
+ ((|HasCategory| |#2| '(|CharacteristicNonZero|))
+ (PROGN
+ (QSETREFV $ 153
+ (CONS (|dispatchFunction| |POLYCAT-;charthRoot;SU;28|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 3)
- (PROGN
- (COND
- ((|HasCategory| |#2| (QUOTE (|EuclideanDomain|)))
- (COND
- ((|HasCategory| |#2| (QUOTE (|CharacteristicZero|)))
- (QSETREFV |$| 161
- (CONS
- (|dispatchFunction| |POLYCAT-;squareFree;SF;31|)
- |$|)))
- ((QUOTE T)
- (QSETREFV |$| 161
- (CONS
- (|dispatchFunction| |POLYCAT-;squareFree;SF;32|)
- |$|)))))
- ((QUOTE T)
- (QSETREFV |$| 161
- (CONS
- (|dispatchFunction| |POLYCAT-;squareFree;SF;33|) |$|))))
- (QSETREFV |$| 169
- (CONS
- (|dispatchFunction| |POLYCAT-;squareFreePart;2S;34|) |$|))
- (QSETREFV |$| 171
- (CONS (|dispatchFunction| |POLYCAT-;content;SVarSetS;35|) |$|))
- (QSETREFV |$| 176
- (CONS (|dispatchFunction| |POLYCAT-;primitivePart;2S;36|) |$|))
- (QSETREFV |$| 179
- (CONS
- (|dispatchFunction| |POLYCAT-;primitivePart;SVarSetS;37|) |$|)))))
- (COND
+ (PROGN
+ (COND
+ ((|HasCategory| |#2| '(|EuclideanDomain|))
+ (COND
+ ((|HasCategory| |#2| '(|CharacteristicZero|))
+ (QSETREFV $ 162
+ (CONS (|dispatchFunction|
+ |POLYCAT-;squareFree;SF;31|)
+ $)))
+ ('T
+ (QSETREFV $ 162
+ (CONS (|dispatchFunction|
+ |POLYCAT-;squareFree;SF;32|)
+ $)))))
+ ('T
+ (QSETREFV $ 162
+ (CONS (|dispatchFunction|
+ |POLYCAT-;squareFree;SF;33|)
+ $))))
+ (QSETREFV $ 170
+ (CONS (|dispatchFunction|
+ |POLYCAT-;squareFreePart;2S;34|)
+ $))
+ (QSETREFV $ 172
+ (CONS (|dispatchFunction|
+ |POLYCAT-;content;SVarSetS;35|)
+ $))
+ (QSETREFV $ 177
+ (CONS (|dispatchFunction|
+ |POLYCAT-;primitivePart;2S;36|)
+ $))
+ (QSETREFV $ 180
+ (CONS (|dispatchFunction|
+ |POLYCAT-;primitivePart;SVarSetS;37|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 15)
- (PROGN
- (QSETREFV |$| 182
- (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) |$|))
- (COND
- ((|testBitVector| |pv$| 8)
- (COND
- ((|testBitVector| |pv$| 7)
- (QSETREFV |$| 188
- (CONS
- (|dispatchFunction|
- |POLYCAT-;patternMatch;SP2Pmr;39|)
- |$|))))))
- (COND
- ((|testBitVector| |pv$| 6)
- (COND
- ((|testBitVector| |pv$| 5)
- (QSETREFV |$| 194
- (CONS
- (|dispatchFunction|
- |POLYCAT-;patternMatch;SP2Pmr;40|)
- |$|)))))))))
- (COND
- ((|testBitVector| |pv$| 12)
- (COND
- ((|testBitVector| |pv$| 11)
- (QSETREFV |$| 201
- (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|) |$|))))))
- (COND
- ((|testBitVector| |pv$| 10)
- (COND
- ((|testBitVector| |pv$| 9)
- (QSETREFV |$| 208
- (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|) |$|))))))
- (COND
- ((|testBitVector| |pv$| 14)
- (COND
- ((|testBitVector| |pv$| 13)
- (QSETREFV |$| 216
- (CONS
- (|dispatchFunction| |POLYCAT-;convert;SIf;43|)
- |$|))))))
- |$|))))
-
-(MAKEPROP
- (QUOTE |PolynomialCategory&|)
- (QUOTE |infovec|)
- (LIST
- (QUOTE
- #(NIL NIL NIL NIL NIL NIL
- (|local| |#1|)
- (|local| |#2|)
- (|local| |#3|)
- (|local| |#4|)
- (|Equation| 6)
- (0 . |lhs|)
- (|Union| 9 (QUOTE "failed"))
- (5 . |retractIfCan|)
- (10 . |retract|)
- (15 . |rhs|)
- (|List| 9)
- (|List| |$|)
- (20 . |eval|)
- (|List| 220)
- |POLYCAT-;eval;SLS;1|
- (27 . |Zero|)
- (31 . |Zero|)
- (|Boolean|)
- (35 . |=|)
- (41 . |leadingMonomial|)
- (46 . |reductum|)
- |POLYCAT-;monomials;SL;2|
- (51 . |monomials|)
- (|Union| 17 (QUOTE "failed"))
- |POLYCAT-;isPlus;SU;3|
- (56 . |variables|)
- (61 . |monomial?|)
- (66 . |One|)
- (70 . |One|)
- (|NonNegativeInteger|)
- (74 . |degree|)
- (80 . |monomial|)
- (87 . |leadingCoefficient|)
- (92 . |one?|)
- (97 . |coerce|)
- |POLYCAT-;isTimes;SU;4|
- (102 . |mainVariable|)
- (|Record| (|:| |var| 9) (|:| |exponent| 35))
- (|Union| 43 (QUOTE "failed"))
- |POLYCAT-;isExpt;SU;5|
- (|SparseUnivariatePolynomial| |$|)
- (107 . |univariate|)
- (|SparseUnivariatePolynomial| 6)
- (113 . |coefficient|)
- |POLYCAT-;coefficient;SVarSetNniS;6|
- (|List| 35)
- (119 . |coefficient|)
- |POLYCAT-;coefficient;SLLS;7|
- (126 . |monomial|)
- |POLYCAT-;monomial;SLLS;8|
- (133 . |coerce|)
- |POLYCAT-;retract;SVarSet;9|
- |POLYCAT-;retractIfCan;SU;10|
- (138 . |degree|)
- (143 . |monomial|)
- |POLYCAT-;primitiveMonomials;SL;12|
- (149 . |ground?|)
- (154 . |Zero|)
- (158 . |=|)
- (164 . |degree|)
- (169 . |leadingCoefficient|)
- (174 . |totalDegree|)
- (179 . |reductum|)
- |POLYCAT-;totalDegree;SNni;13|
- (184 . |member?|)
- (190 . |totalDegree|)
- |POLYCAT-;totalDegree;SLNni;14|
- (196 . |resultant|)
- (202 . |resultant|)
- (209 . |discriminant|)
- (214 . |discriminant|)
- (220 . |primitiveMonomials|)
- (|List| 6)
- (225 . |concat|)
- (230 . |removeDuplicates!|)
- (|Vector| 7)
- (235 . |new|)
- (|Integer|)
- (241 . |minIndex|)
- (246 . |coefficient|)
- (252 . |qsetelt!|)
- (|List| 219)
- (|Matrix| 7)
- (259 . |matrix|)
- (|List| 78)
- (|Matrix| 6)
- (264 . |listOfLists|)
- (269 . |vertConcat|)
- (|Matrix| |$|)
- (275 . |reducedSystem|)
- (|Vector| 6)
- (280 . |entries|)
- (285 . |concat|)
- (291 . |concat|)
- (|Record| (|:| |mat| 88) (|:| |vec| 81))
- (|Vector| |$|)
- (297 . |reducedSystem|)
- (|GeneralPolynomialGcdPackage| 8 9 7 6)
- (303 . |gcdPolynomial|)
- (309 . |gcdPolynomial|)
- (|Union| 107 (QUOTE "failed"))
- (|List| 48)
- (|PolynomialFactorizationByRecursion| 7 8 9 6)
- (315 . |solveLinearPolynomialEquationByRecursion|)
- (|Union| 111 (QUOTE "failed"))
- (|List| 46)
- (321 . |solveLinearPolynomialEquation|)
- (|Factored| 48)
- (327 . |factorByRecursion|)
- (|Factored| 46)
- (332 . |factorPolynomial|)
- (337 . |factorSquareFreeByRecursion|)
- (342 . |factorSquareFreePolynomial|)
- (|Factored| |$|)
- (347 . |factor|)
- (|Factored| 7)
- (352 . |unit|)
- (|Union| (QUOTE "nil") (QUOTE "sqfr") (QUOTE "irred") (QUOTE "prime"))
- (|Record| (|:| |flg| 123) (|:| |fctr| 7) (|:| |xpnt| 83))
- (|List| 124)
- (357 . |factorList|)
- (|Record| (|:| |flg| 123) (|:| |fctr| 6) (|:| |xpnt| 83))
- (|List| 127)
- (|Factored| 6)
- (362 . |makeFR|)
- (368 . |unit|)
- (373 . |multivariate|)
- (|Record| (|:| |flg| 123) (|:| |fctr| 48) (|:| |xpnt| 83))
- (|List| 133)
- (379 . |factorList|)
- (384 . |factor|)
- (389 . |transpose|)
- (394 . |characteristic|)
- (398 . |setUnion|)
- (404 . |degree|)
- (|Union| |$| (QUOTE "failed"))
- (410 . |exquo|)
- (416 . |ground|)
- (421 . |transpose|)
- (|Union| 101 (QUOTE "failed"))
- (426 . |conditionP|)
- (431 . |elt|)
- (437 . |*|)
- (443 . |+|)
- (449 . |conditionP|)
- (454 . |charthRoot|)
- (459 . |charthRoot|)
- (464 . |Zero|)
- (468 . |coefficient|)
- (475 . |-|)
- (|Record| (|:| |quotient| |$|) (|:| |remainder| |$|))
- (481 . |monicDivide|)
- |POLYCAT-;monicDivide;2SVarSetR;30|
- (|MultivariateSquareFree| 8 9 7 6)
- (487 . |squareFree|)
- (492 . |squareFree|)
- (|PolynomialSquareFree| 9 8 7 6)
- (497 . |squareFree|)
- (502 . |squareFree|)
- (507 . |unit|)
- (|Record| (|:| |factor| 6) (|:| |exponent| 83))
- (|List| 166)
- (512 . |factors|)
- (517 . |squareFreePart|)
- (522 . |content|)
- (527 . |content|)
- (533 . |content|)
- (538 . |exquo|)
- (|Record| (|:| |unit| |$|) (|:| |canonical| |$|) (|:| |associate| |$|))
- (544 . |unitNormal|)
- (549 . |primitivePart|)
- (554 . |content|)
- (560 . |exquo|)
- (566 . |primitivePart|)
- (572 . |<|)
- (578 . |<|)
- (584 . |<|)
- (|PatternMatchResult| 83 6)
- (|Pattern| 83)
- (|PatternMatchPolynomialCategory| 83 8 9 7 6)
- (590 . |patternMatch|)
- (|PatternMatchResult| 83 |$|)
- (597 . |patternMatch|)
- (|PatternMatchResult| (|Float|) 6)
- (|Pattern| (|Float|))
- (|PatternMatchPolynomialCategory| (|Float|) 8 9 7 6)
- (604 . |patternMatch|)
- (|PatternMatchResult| (|Float|) |$|)
- (611 . |patternMatch|)
- (618 . |convert|)
- (623 . |convert|)
- (|Mapping| 184 9)
- (|Mapping| 184 7)
- (|PolynomialCategoryLifting| 8 9 7 6 184)
- (628 . |map|)
- (635 . |convert|)
- (640 . |convert|)
- (645 . |convert|)
- (|Mapping| 190 9)
- (|Mapping| 190 7)
- (|PolynomialCategoryLifting| 8 9 7 6 190)
- (650 . |map|)
- (657 . |convert|)
- (|InputForm|)
- (662 . |convert|)
- (667 . |convert|)
- (|Mapping| 209 9)
- (|Mapping| 209 7)
- (|PolynomialCategoryLifting| 8 9 7 6 209)
- (672 . |map|)
- (679 . |convert|)
- (|Record| (|:| |mat| 218) (|:| |vec| (|Vector| 83)))
- (|Matrix| 83)
- (|List| 7)
- (|Equation| |$|)
- (|Union| 83 (QUOTE "failed"))
- (|Union| 223 (QUOTE "failed"))
- (|Fraction| 83)
- (|Union| 7 (QUOTE "failed"))))
- (QUOTE
- #(|totalDegree| 684 |squareFreePart| 695 |squareFree| 700
- |solveLinearPolynomialEquation| 705 |retractIfCan| 711 |retract| 716
- |resultant| 721 |reducedSystem| 728 |primitivePart| 739
- |primitiveMonomials| 750 |patternMatch| 755 |monomials| 769
- |monomial| 774 |monicDivide| 781 |isTimes| 788 |isPlus| 793
- |isExpt| 798 |gcdPolynomial| 803 |factorSquareFreePolynomial| 809
- |factorPolynomial| 814 |factor| 819 |eval| 824 |discriminant| 830
- |convert| 836 |content| 851 |conditionP| 857 |coefficient| 862
- |charthRoot| 876 |<| 881))
- (QUOTE NIL)
- (CONS
- (|makeByteWordVec2| 1 (QUOTE NIL))
- (CONS
- (QUOTE #())
- (CONS
- (QUOTE #())
- (|makeByteWordVec2| 216
- (QUOTE
- (1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1 10 6 0 15 3 6 0 0 16
- 17 18 0 6 0 21 0 7 0 22 2 6 23 0 0 24 1 6 0 0 25 1 6 0 0
- 26 1 6 17 0 28 1 6 16 0 31 1 6 23 0 32 0 6 0 33 0 7 0 34 2
- 6 35 0 9 36 3 6 0 0 9 35 37 1 6 7 0 38 1 7 23 0 39 1 6 0 7
- 40 1 6 12 0 42 2 6 46 0 9 47 2 48 6 0 35 49 3 6 0 0 16 51
- 52 3 6 0 0 16 51 54 1 6 0 9 56 1 6 8 0 59 2 6 0 7 8 60 1 6
- 23 0 62 0 48 0 63 2 48 23 0 0 64 1 48 35 0 65 1 48 6 0 66
- 1 6 35 0 67 1 48 0 0 68 2 16 23 9 0 70 2 6 35 0 16 71 2 48
- 6 0 0 73 3 0 0 0 0 9 74 1 48 6 0 75 2 0 0 0 9 76 1 6 17 0
- 77 1 78 0 17 79 1 78 0 0 80 2 81 0 35 7 82 1 81 83 0 84 2
- 6 7 0 8 85 3 81 7 0 83 7 86 1 88 0 87 89 1 91 90 0 92 2 88
- 0 0 0 93 1 0 88 94 95 1 96 78 0 97 2 78 0 0 0 98 2 81 0 0
- 0 99 2 0 100 94 101 102 2 103 48 48 48 104 2 0 46 46 46
- 105 2 108 106 107 48 109 2 0 110 111 46 112 1 108 113 48
- 114 1 0 115 46 116 1 108 113 48 117 1 0 115 46 118 1 7 119
- 0 120 1 121 7 0 122 1 121 125 0 126 2 129 0 6 128 130 1 113
- 48 0 131 2 6 0 46 9 132 1 113 134 0 135 1 0 119 0 136 1 91
- 0 0 137 0 6 35 138 2 78 0 0 0 139 2 6 51 0 16 140 2 83 141
- 0 0 142 1 6 7 0 143 1 88 0 0 144 1 7 145 94 146 2 81 7 0
- 83 147 2 6 0 0 0 148 2 6 0 0 0 149 1 0 145 94 150 1 7 141
- 0 151 1 0 141 0 152 0 8 0 153 3 6 0 0 9 35 154 2 6 0 0 0
- 155 2 48 156 0 0 157 1 159 129 6 160 1 0 119 0 161 1 162
- 129 6 163 1 6 119 0 164 1 129 6 0 165 1 129 167 0 168 1 0
- 0 0 169 1 48 6 0 170 2 0 0 0 9 171 1 6 7 0 172 2 6 141 0 7
- 173 1 6 174 0 175 1 0 0 0 176 2 6 0 0 9 177 2 6 141 0 0
- 178 2 0 0 0 9 179 2 8 23 0 0 180 2 7 23 0 0 181 2 0 23 0 0
- 182 3 185 183 6 184 183 186 3 0 187 0 184 187 188 3 191 189
- 6 190 189 192 3 0 193 0 190 193 194 1 9 184 0 195 1 7 184
- 0 196 3 199 184 197 198 6 200 1 0 184 0 201 1 9 190 0 202
- 1 7 190 0 203 3 206 190 204 205 6 207 1 0 190 0 208 1 9
- 209 0 210 1 7 209 0 211 3 214 209 212 213 6 215 1 0 209 0
- 216 2 0 35 0 16 72 1 0 35 0 69 1 0 0 0 169 1 0 119 0 161 2
- 0 110 111 46 112 1 0 12 0 58 1 0 9 0 57 3 0 0 0 0 9 74 1 0
- 88 94 95 2 0 100 94 101 102 2 0 0 0 9 179 1 0 0 0 176 1 0
- 17 0 61 3 0 187 0 184 187 188 3 0 193 0 190 193 194 1 0 17
- 0 27 3 0 0 0 16 51 55 3 0 156 0 0 9 158 1 0 29 0 41 1 0 29
- 0 30 1 0 44 0 45 2 0 46 46 46 105 1 0 115 46 118 1 0 115
- 46 116 1 0 119 0 136 2 0 0 0 19 20 2 0 0 0 9 76 1 0 209 0
- 216 1 0 184 0 201 1 0 190 0 208 2 0 0 0 9 171 1 0 145 94
- 150 3 0 0 0 16 51 53 3 0 0 0 9 35 50 1 0 141 0 152 2 0
- 23 0 0 182))))))
- (QUOTE |lookupComplete|)))
-
+ (PROGN
+ (QSETREFV $ 183
+ (CONS (|dispatchFunction| |POLYCAT-;<;2SB;38|) $))
+ (COND
+ ((|testBitVector| |pv$| 8)
+ (COND
+ ((|testBitVector| |pv$| 7)
+ (QSETREFV $ 189
+ (CONS (|dispatchFunction|
+ |POLYCAT-;patternMatch;SP2Pmr;39|)
+ $))))))
+ (COND
+ ((|testBitVector| |pv$| 6)
+ (COND
+ ((|testBitVector| |pv$| 5)
+ (QSETREFV $ 195
+ (CONS (|dispatchFunction|
+ |POLYCAT-;patternMatch;SP2Pmr;40|)
+ $)))))))))
+ (COND
+ ((|testBitVector| |pv$| 12)
+ (COND
+ ((|testBitVector| |pv$| 11)
+ (QSETREFV $ 202
+ (CONS (|dispatchFunction| |POLYCAT-;convert;SP;41|)
+ $))))))
+ (COND
+ ((|testBitVector| |pv$| 10)
+ (COND
+ ((|testBitVector| |pv$| 9)
+ (QSETREFV $ 209
+ (CONS (|dispatchFunction| |POLYCAT-;convert;SP;42|)
+ $))))))
+ (COND
+ ((|testBitVector| |pv$| 14)
+ (COND
+ ((|testBitVector| |pv$| 13)
+ (QSETREFV $ 217
+ (CONS (|dispatchFunction| |POLYCAT-;convert;SIf;43|)
+ $))))))
+ $))))
+
+(MAKEPROP '|PolynomialCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
+ (|local| |#3|) (|local| |#4|) (|Equation| 6) (0 . |lhs|)
+ (|Union| 9 '"failed") (5 . |retractIfCan|)
+ (10 . |retract|) (15 . |rhs|) (|List| 9) (|List| $)
+ (20 . |eval|) (|List| 221) |POLYCAT-;eval;SLS;1|
+ (27 . |Zero|) (31 . |Zero|) (|Boolean|) (35 . =)
+ (41 . |not|) (46 . |leadingMonomial|) (51 . |reductum|)
+ |POLYCAT-;monomials;SL;2| (56 . |monomials|)
+ (|Union| 17 '"failed") |POLYCAT-;isPlus;SU;3|
+ (61 . |variables|) (66 . |monomial?|) (71 . |One|)
+ (75 . |One|) (|NonNegativeInteger|) (79 . |degree|)
+ (85 . |monomial|) (92 . |leadingCoefficient|) (97 . =)
+ (103 . |coerce|) |POLYCAT-;isTimes;SU;4|
+ (108 . |mainVariable|)
+ (|Record| (|:| |var| 9) (|:| |exponent| 36))
+ (|Union| 44 '"failed") |POLYCAT-;isExpt;SU;5|
+ (|SparseUnivariatePolynomial| $) (113 . |univariate|)
+ (|SparseUnivariatePolynomial| 6) (119 . |coefficient|)
+ |POLYCAT-;coefficient;SVarSetNniS;6| (|List| 36)
+ (125 . |coefficient|) |POLYCAT-;coefficient;SLLS;7|
+ (132 . |monomial|) |POLYCAT-;monomial;SLLS;8|
+ (139 . |coerce|) |POLYCAT-;retract;SVarSet;9|
+ |POLYCAT-;retractIfCan;SU;10| (144 . |degree|)
+ (149 . |monomial|) |POLYCAT-;primitiveMonomials;SL;12|
+ (155 . |ground?|) (160 . |Zero|) (164 . =)
+ (170 . |degree|) (175 . |leadingCoefficient|)
+ (180 . |totalDegree|) (185 . |reductum|)
+ |POLYCAT-;totalDegree;SNni;13| (190 . |member?|)
+ (196 . |totalDegree|) |POLYCAT-;totalDegree;SLNni;14|
+ (202 . |resultant|) (208 . |resultant|)
+ (215 . |discriminant|) (220 . |discriminant|)
+ (226 . |primitiveMonomials|) (|List| 6) (231 . |concat|)
+ (236 . |removeDuplicates!|) (|Vector| 7) (241 . |new|)
+ (|Integer|) (247 . |minIndex|) (252 . |coefficient|)
+ (258 . |qsetelt!|) (|List| 220) (|Matrix| 7)
+ (265 . |matrix|) (|List| 79) (|Matrix| 6)
+ (270 . |listOfLists|) (275 . |vertConcat|) (|Matrix| $)
+ (281 . |reducedSystem|) (|Vector| 6) (286 . |entries|)
+ (291 . |concat|) (297 . |concat|)
+ (|Record| (|:| |mat| 89) (|:| |vec| 82)) (|Vector| $)
+ (303 . |reducedSystem|)
+ (|GeneralPolynomialGcdPackage| 8 9 7 6)
+ (309 . |gcdPolynomial|) (315 . |gcdPolynomial|)
+ (|Union| 108 '"failed") (|List| 49)
+ (|PolynomialFactorizationByRecursion| 7 8 9 6)
+ (321 . |solveLinearPolynomialEquationByRecursion|)
+ (|Union| 112 '"failed") (|List| 47)
+ (327 . |solveLinearPolynomialEquation|) (|Factored| 49)
+ (333 . |factorByRecursion|) (|Factored| 47)
+ (338 . |factorPolynomial|)
+ (343 . |factorSquareFreeByRecursion|)
+ (348 . |factorSquareFreePolynomial|) (|Factored| $)
+ (353 . |factor|) (|Factored| 7) (358 . |unit|)
+ (|Union| '"nil" '"sqfr" '"irred" '"prime")
+ (|Record| (|:| |flg| 124) (|:| |fctr| 7) (|:| |xpnt| 84))
+ (|List| 125) (363 . |factorList|)
+ (|Record| (|:| |flg| 124) (|:| |fctr| 6) (|:| |xpnt| 84))
+ (|List| 128) (|Factored| 6) (368 . |makeFR|)
+ (374 . |unit|) (379 . |multivariate|)
+ (|Record| (|:| |flg| 124) (|:| |fctr| 49) (|:| |xpnt| 84))
+ (|List| 134) (385 . |factorList|) (390 . |factor|)
+ (395 . |transpose|) (400 . |characteristic|)
+ (404 . |setUnion|) (410 . |degree|) (|Union| $ '"failed")
+ (416 . |exquo|) (422 . |ground|) (427 . |transpose|)
+ (|Union| 102 '"failed") (432 . |conditionP|) (437 . |elt|)
+ (443 . *) (449 . +) (455 . |conditionP|)
+ (460 . |charthRoot|) (465 . |charthRoot|) (470 . |Zero|)
+ (474 . |coefficient|) (481 . -)
+ (|Record| (|:| |quotient| $) (|:| |remainder| $))
+ (487 . |monicDivide|) |POLYCAT-;monicDivide;2SVarSetR;30|
+ (|MultivariateSquareFree| 8 9 7 6) (493 . |squareFree|)
+ (498 . |squareFree|) (|PolynomialSquareFree| 9 8 7 6)
+ (503 . |squareFree|) (508 . |squareFree|) (513 . |unit|)
+ (|Record| (|:| |factor| 6) (|:| |exponent| 84))
+ (|List| 167) (518 . |factors|) (523 . |squareFreePart|)
+ (528 . |content|) (533 . |content|) (539 . |content|)
+ (544 . |exquo|)
+ (|Record| (|:| |unit| $) (|:| |canonical| $)
+ (|:| |associate| $))
+ (550 . |unitNormal|) (555 . |primitivePart|)
+ (560 . |content|) (566 . |exquo|) (572 . |primitivePart|)
+ (578 . <) (584 . <) (590 . <) (|PatternMatchResult| 84 6)
+ (|Pattern| 84)
+ (|PatternMatchPolynomialCategory| 84 8 9 7 6)
+ (596 . |patternMatch|) (|PatternMatchResult| 84 $)
+ (603 . |patternMatch|) (|PatternMatchResult| (|Float|) 6)
+ (|Pattern| (|Float|))
+ (|PatternMatchPolynomialCategory| (|Float|) 8 9 7 6)
+ (610 . |patternMatch|) (|PatternMatchResult| (|Float|) $)
+ (617 . |patternMatch|) (624 . |convert|) (629 . |convert|)
+ (|Mapping| 185 9) (|Mapping| 185 7)
+ (|PolynomialCategoryLifting| 8 9 7 6 185) (634 . |map|)
+ (641 . |convert|) (646 . |convert|) (651 . |convert|)
+ (|Mapping| 191 9) (|Mapping| 191 7)
+ (|PolynomialCategoryLifting| 8 9 7 6 191) (656 . |map|)
+ (663 . |convert|) (|InputForm|) (668 . |convert|)
+ (673 . |convert|) (|Mapping| 210 9) (|Mapping| 210 7)
+ (|PolynomialCategoryLifting| 8 9 7 6 210) (678 . |map|)
+ (685 . |convert|)
+ (|Record| (|:| |mat| 219) (|:| |vec| (|Vector| 84)))
+ (|Matrix| 84) (|List| 7) (|Equation| $)
+ (|Union| 84 '"failed") (|Union| 224 '"failed")
+ (|Fraction| 84) (|Union| 7 '"failed"))
+ '#(|totalDegree| 690 |squareFreePart| 701 |squareFree| 706
+ |solveLinearPolynomialEquation| 711 |retractIfCan| 717
+ |retract| 722 |resultant| 727 |reducedSystem| 734
+ |primitivePart| 745 |primitiveMonomials| 756
+ |patternMatch| 761 |monomials| 775 |monomial| 780
+ |monicDivide| 787 |isTimes| 794 |isPlus| 799 |isExpt| 804
+ |gcdPolynomial| 809 |factorSquareFreePolynomial| 815
+ |factorPolynomial| 820 |factor| 825 |eval| 830
+ |discriminant| 836 |convert| 842 |content| 857
+ |conditionP| 863 |coefficient| 868 |charthRoot| 882 < 887)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 217
+ '(1 10 6 0 11 1 6 12 0 13 1 6 9 0 14 1
+ 10 6 0 15 3 6 0 0 16 17 18 0 6 0 21 0
+ 7 0 22 2 6 23 0 0 24 1 23 0 0 25 1 6
+ 0 0 26 1 6 0 0 27 1 6 17 0 29 1 6 16
+ 0 32 1 6 23 0 33 0 6 0 34 0 7 0 35 2
+ 6 36 0 9 37 3 6 0 0 9 36 38 1 6 7 0
+ 39 2 7 23 0 0 40 1 6 0 7 41 1 6 12 0
+ 43 2 6 47 0 9 48 2 49 6 0 36 50 3 6 0
+ 0 16 52 53 3 6 0 0 16 52 55 1 6 0 9
+ 57 1 6 8 0 60 2 6 0 7 8 61 1 6 23 0
+ 63 0 49 0 64 2 49 23 0 0 65 1 49 36 0
+ 66 1 49 6 0 67 1 6 36 0 68 1 49 0 0
+ 69 2 16 23 9 0 71 2 6 36 0 16 72 2 49
+ 6 0 0 74 3 0 0 0 0 9 75 1 49 6 0 76 2
+ 0 0 0 9 77 1 6 17 0 78 1 79 0 17 80 1
+ 79 0 0 81 2 82 0 36 7 83 1 82 84 0 85
+ 2 6 7 0 8 86 3 82 7 0 84 7 87 1 89 0
+ 88 90 1 92 91 0 93 2 89 0 0 0 94 1 0
+ 89 95 96 1 97 79 0 98 2 79 0 0 0 99 2
+ 82 0 0 0 100 2 0 101 95 102 103 2 104
+ 49 49 49 105 2 0 47 47 47 106 2 109
+ 107 108 49 110 2 0 111 112 47 113 1
+ 109 114 49 115 1 0 116 47 117 1 109
+ 114 49 118 1 0 116 47 119 1 7 120 0
+ 121 1 122 7 0 123 1 122 126 0 127 2
+ 130 0 6 129 131 1 114 49 0 132 2 6 0
+ 47 9 133 1 114 135 0 136 1 0 120 0
+ 137 1 92 0 0 138 0 6 36 139 2 79 0 0
+ 0 140 2 6 52 0 16 141 2 84 142 0 0
+ 143 1 6 7 0 144 1 89 0 0 145 1 7 146
+ 95 147 2 82 7 0 84 148 2 6 0 0 0 149
+ 2 6 0 0 0 150 1 0 146 95 151 1 7 142
+ 0 152 1 0 142 0 153 0 8 0 154 3 6 0 0
+ 9 36 155 2 6 0 0 0 156 2 49 157 0 0
+ 158 1 160 130 6 161 1 0 120 0 162 1
+ 163 130 6 164 1 6 120 0 165 1 130 6 0
+ 166 1 130 168 0 169 1 0 0 0 170 1 49
+ 6 0 171 2 0 0 0 9 172 1 6 7 0 173 2 6
+ 142 0 7 174 1 6 175 0 176 1 0 0 0 177
+ 2 6 0 0 9 178 2 6 142 0 0 179 2 0 0 0
+ 9 180 2 8 23 0 0 181 2 7 23 0 0 182 2
+ 0 23 0 0 183 3 186 184 6 185 184 187
+ 3 0 188 0 185 188 189 3 192 190 6 191
+ 190 193 3 0 194 0 191 194 195 1 9 185
+ 0 196 1 7 185 0 197 3 200 185 198 199
+ 6 201 1 0 185 0 202 1 9 191 0 203 1 7
+ 191 0 204 3 207 191 205 206 6 208 1 0
+ 191 0 209 1 9 210 0 211 1 7 210 0 212
+ 3 215 210 213 214 6 216 1 0 210 0 217
+ 2 0 36 0 16 73 1 0 36 0 70 1 0 0 0
+ 170 1 0 120 0 162 2 0 111 112 47 113
+ 1 0 12 0 59 1 0 9 0 58 3 0 0 0 0 9 75
+ 1 0 89 95 96 2 0 101 95 102 103 2 0 0
+ 0 9 180 1 0 0 0 177 1 0 17 0 62 3 0
+ 188 0 185 188 189 3 0 194 0 191 194
+ 195 1 0 17 0 28 3 0 0 0 16 52 56 3 0
+ 157 0 0 9 159 1 0 30 0 42 1 0 30 0 31
+ 1 0 45 0 46 2 0 47 47 47 106 1 0 116
+ 47 119 1 0 116 47 117 1 0 120 0 137 2
+ 0 0 0 19 20 2 0 0 0 9 77 1 0 210 0
+ 217 1 0 185 0 202 1 0 191 0 209 2 0 0
+ 0 9 172 1 0 146 95 151 3 0 0 0 16 52
+ 54 3 0 0 0 9 36 51 1 0 142 0 153 2 0
+ 23 0 0 183)))))
+ '|lookupComplete|))
@
\section{package POLYLIFT PolynomialCategoryLifting}
<<package POLYLIFT PolynomialCategoryLifting>>=
@@ -3126,145 +2979,163 @@ Note that this code is not included in the generated catdef.spad file.
<<UPOLYC.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(SETQ |UnivariatePolynomialCategory;CAT| (QUOTE NIL))
-
-(SETQ |UnivariatePolynomialCategory;AL| (QUOTE NIL))
-
-(DEFUN |UnivariatePolynomialCategory| (#1=#:G103214)
- (LET (#2=#:G103215)
- (COND
- ((SETQ #2# (|assoc| (|devaluate| #1#) |UnivariatePolynomialCategory;AL|))
- (CDR #2#))
- (T
- (SETQ |UnivariatePolynomialCategory;AL|
- (|cons5|
- (CONS
- (|devaluate| #1#)
- (SETQ #2# (|UnivariatePolynomialCategory;| #1#)))
- |UnivariatePolynomialCategory;AL|))
- #2#))))
-
-(DEFUN |UnivariatePolynomialCategory;| (|t#1|)
- (PROG (#1=#:G103213)
- (RETURN
- (PROG1
- (LETT #1#
- (|sublisV|
- (PAIR (QUOTE (|t#1|)) (LIST (|devaluate| |t#1|)))
- (|sublisV|
- (PAIR
- (QUOTE (#2=#:G103211 #3=#:G103212))
- (LIST
- (QUOTE (|NonNegativeInteger|))
- (QUOTE (|SingletonAsOrderedSet|))))
- (COND
- (|UnivariatePolynomialCategory;CAT|)
- ((QUOTE T)
- (LETT |UnivariatePolynomialCategory;CAT|
- (|Join|
- (|PolynomialCategory|
- (QUOTE |t#1|) (QUOTE #2#) (QUOTE #3#))
- (|Eltable| (QUOTE |t#1|) (QUOTE |t#1|))
- (|Eltable| (QUOTE |$|) (QUOTE |$|))
- (|DifferentialRing|)
- (|DifferentialExtension| (QUOTE |t#1|))
- (|mkCategory|
- (QUOTE |domain|)
- (QUOTE (
- ((|vectorise|
- ((|Vector| |t#1|) |$| (|NonNegativeInteger|))) T)
- ((|makeSUP|
- ((|SparseUnivariatePolynomial| |t#1|) |$|)) T)
- ((|unmakeSUP|
- (|$| (|SparseUnivariatePolynomial| |t#1|))) T)
- ((|multiplyExponents|
- (|$| |$| (|NonNegativeInteger|))) T)
- ((|divideExponents|
- ((|Union| |$| "failed")
- |$|
- (|NonNegativeInteger|))) T)
- ((|monicDivide|
- ((|Record|
- (|:| |quotient| |$|)
- (|:| |remainder| |$|))
- |$|
- |$|)) T)
- ((|karatsubaDivide|
- ((|Record|
- (|:| |quotient| |$|)
- (|:| |remainder| |$|))
- |$|
- (|NonNegativeInteger|))) T)
- ((|shiftRight| (|$| |$| (|NonNegativeInteger|))) T)
- ((|shiftLeft| (|$| |$| (|NonNegativeInteger|))) T)
- ((|pseudoRemainder| (|$| |$| |$|)) T)
- ((|differentiate|
- (|$| |$| (|Mapping| |t#1| |t#1|) |$|)) T)
- ((|discriminant| (|t#1| |$|))
- (|has| |t#1| (|CommutativeRing|)))
- ((|resultant| (|t#1| |$| |$|))
- (|has| |t#1| (|CommutativeRing|)))
- ((|elt|
- ((|Fraction| |$|)
- (|Fraction| |$|)
- (|Fraction| |$|)))
- (|has| |t#1| (|IntegralDomain|)))
- ((|order| ((|NonNegativeInteger|) |$| |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|subResultantGcd| (|$| |$| |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|composite| ((|Union| |$| "failed") |$| |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|composite|
- ((|Union| (|Fraction| |$|) "failed")
- (|Fraction| |$|)
- |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|pseudoQuotient| (|$| |$| |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|pseudoDivide|
- ((|Record|
- (|:| |coef| |t#1|)
- (|:| |quotient| |$|)
- (|:| |remainder| |$|))
- |$|
- |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|separate|
- ((|Record|
- (|:| |primePart| |$|)
- (|:| |commonPart| |$|))
- |$|
- |$|))
- (|has| |t#1| (|GcdDomain|)))
- ((|elt| (|t#1| (|Fraction| |$|) |t#1|))
- (|has| |t#1| (|Field|)))
- ((|integrate| (|$| |$|))
- (|has| |t#1|
- (|Algebra| (|Fraction| (|Integer|)))))))
- (QUOTE (
- ((|StepThrough|) (|has| |t#1| (|StepThrough|)))
- ((|Eltable|
- (|Fraction| |$|)
- (|Fraction| |$|))
- (|has| |t#1| (|IntegralDomain|)))
- ((|EuclideanDomain|) (|has| |t#1| (|Field|)))
- (|additiveValuation| (|has| |t#1| (|Field|)))))
- (QUOTE (
- (|Fraction| |$|)
- (|NonNegativeInteger|)
- (|SparseUnivariatePolynomial| |t#1|)
- (|Vector| |t#1|)))
- NIL))
- . #4=(|UnivariatePolynomialCategory|))))))
- . #4#)
- (SETELT #1# 0
- (LIST
- (QUOTE |UnivariatePolynomialCategory|)
- (|devaluate| |t#1|)))))))
-
+(/VERSIONCHECK 2)
+
+(DEFPARAMETER |UnivariatePolynomialCategory;CAT| 'NIL)
+
+(DEFPARAMETER |UnivariatePolynomialCategory;AL| 'NIL)
+
+(DEFUN |UnivariatePolynomialCategory| (#0=#:G1424)
+ (LET (#1=#:G1425)
+ (COND
+ ((SETQ #1#
+ (|assoc| (|devaluate| #0#)
+ |UnivariatePolynomialCategory;AL|))
+ (CDR #1#))
+ (T (SETQ |UnivariatePolynomialCategory;AL|
+ (|cons5| (CONS (|devaluate| #0#)
+ (SETQ #1#
+ (|UnivariatePolynomialCategory;|
+ #0#)))
+ |UnivariatePolynomialCategory;AL|))
+ #1#))))
+
+(DEFUN |UnivariatePolynomialCategory;| (|t#1|)
+ (PROG (#0=#:G1423)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|sublisV|
+ (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
+ (|sublisV|
+ (PAIR '(#1=#:G1421 #2=#:G1422)
+ (LIST '(|NonNegativeInteger|)
+ '(|SingletonAsOrderedSet|)))
+ (COND
+ (|UnivariatePolynomialCategory;CAT|)
+ ('T
+ (LETT |UnivariatePolynomialCategory;CAT|
+ (|Join|
+ (|PolynomialCategory| '|t#1| '#1#
+ '#2#)
+ (|Eltable| '|t#1| '|t#1|)
+ (|Eltable| '$ '$)
+ (|DifferentialRing|)
+ (|DifferentialExtension| '|t#1|)
+ (|mkCategory| '|domain|
+ '(((|vectorise|
+ ((|Vector| |t#1|) $
+ (|NonNegativeInteger|)))
+ T)
+ ((|makeSUP|
+ ((|SparseUnivariatePolynomial|
+ |t#1|)
+ $))
+ T)
+ ((|unmakeSUP|
+ ($
+ (|SparseUnivariatePolynomial|
+ |t#1|)))
+ T)
+ ((|multiplyExponents|
+ ($ $ (|NonNegativeInteger|)))
+ T)
+ ((|divideExponents|
+ ((|Union| $ "failed") $
+ (|NonNegativeInteger|)))
+ T)
+ ((|monicDivide|
+ ((|Record| (|:| |quotient| $)
+ (|:| |remainder| $))
+ $ $))
+ T)
+ ((|karatsubaDivide|
+ ((|Record| (|:| |quotient| $)
+ (|:| |remainder| $))
+ $ (|NonNegativeInteger|)))
+ T)
+ ((|shiftRight|
+ ($ $ (|NonNegativeInteger|)))
+ T)
+ ((|shiftLeft|
+ ($ $ (|NonNegativeInteger|)))
+ T)
+ ((|pseudoRemainder| ($ $ $)) T)
+ ((|differentiate|
+ ($ $ (|Mapping| |t#1| |t#1|)
+ $))
+ T)
+ ((|discriminant| (|t#1| $))
+ (|has| |t#1|
+ (|CommutativeRing|)))
+ ((|resultant| (|t#1| $ $))
+ (|has| |t#1|
+ (|CommutativeRing|)))
+ ((|elt|
+ ((|Fraction| $)
+ (|Fraction| $)
+ (|Fraction| $)))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|order|
+ ((|NonNegativeInteger|) $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|subResultantGcd| ($ $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|composite|
+ ((|Union| $ "failed") $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|composite|
+ ((|Union| (|Fraction| $)
+ "failed")
+ (|Fraction| $) $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|pseudoQuotient| ($ $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|pseudoDivide|
+ ((|Record| (|:| |coef| |t#1|)
+ (|:| |quotient| $)
+ (|:| |remainder| $))
+ $ $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|separate|
+ ((|Record|
+ (|:| |primePart| $)
+ (|:| |commonPart| $))
+ $ $))
+ (|has| |t#1| (|GcdDomain|)))
+ ((|elt|
+ (|t#1| (|Fraction| $) |t#1|))
+ (|has| |t#1| (|Field|)))
+ ((|integrate| ($ $))
+ (|has| |t#1|
+ (|Algebra|
+ (|Fraction| (|Integer|))))))
+ '(((|StepThrough|)
+ (|has| |t#1| (|StepThrough|)))
+ ((|Eltable| (|Fraction| $)
+ (|Fraction| $))
+ (|has| |t#1|
+ (|IntegralDomain|)))
+ ((|EuclideanDomain|)
+ (|has| |t#1| (|Field|)))
+ (|additiveValuation|
+ (|has| |t#1| (|Field|))))
+ '((|Fraction| $)
+ (|NonNegativeInteger|)
+ (|SparseUnivariatePolynomial|
+ |t#1|)
+ (|Vector| |t#1|))
+ NIL))
+ . #3=(|UnivariatePolynomialCategory|)))))) . #3#)
+ (SETELT #0# 0
+ (LIST '|UnivariatePolynomialCategory|
+ (|devaluate| |t#1|)))))))
@
\section{UPOLYC-.lsp BOOTSTRAP}
{\bf UPOLYC-} depends on {\bf UPOLYC}. We need to break this cycle to build
@@ -3277,1377 +3148,1151 @@ Note that this code is not included in the generated catdef.spad file.
<<UPOLYC-.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
+(/VERSIONCHECK 2)
-(DEFUN |UPOLYC-;variables;SL;1| (|p| |$|)
- (COND
- ((OR
- (SPADCALL |p| (QREFELT |$| 9))
- (ZEROP (SPADCALL |p| (QREFELT |$| 11))))
+(DEFUN |UPOLYC-;variables;SL;1| (|p| $)
+ (COND
+ ((OR (SPADCALL |p| (QREFELT $ 9))
+ (ZEROP (SPADCALL |p| (QREFELT $ 11))))
NIL)
- ((QUOTE T) (LIST (SPADCALL (QREFELT |$| 13))))))
+ ('T (LIST (SPADCALL (QREFELT $ 13))))))
-(DEFUN |UPOLYC-;degree;SSaosNni;2| (|p| |v| |$|)
- (SPADCALL |p| (QREFELT |$| 11)))
+(DEFUN |UPOLYC-;degree;SSaosNni;2| (|p| |v| $)
+ (SPADCALL |p| (QREFELT $ 11)))
-(DEFUN |UPOLYC-;totalDegree;SLNni;3| (|p| |lv| |$|)
- (COND ((NULL |lv|) 0) ((QUOTE T) (SPADCALL |p| (QREFELT |$| 17)))))
+(DEFUN |UPOLYC-;totalDegree;SLNni;3| (|p| |lv| $)
+ (COND ((NULL |lv|) 0) ('T (SPADCALL |p| (QREFELT $ 17)))))
-(DEFUN |UPOLYC-;degree;SLL;4| (|p| |lv| |$|)
- (COND ((NULL |lv|) NIL) ((QUOTE T) (LIST (SPADCALL |p| (QREFELT |$| 11))))))
+(DEFUN |UPOLYC-;degree;SLL;4| (|p| |lv| $)
+ (COND ((NULL |lv|) NIL) ('T (LIST (SPADCALL |p| (QREFELT $ 11))))))
-(DEFUN |UPOLYC-;eval;SLLS;5| (|p| |lv| |lq| |$|)
- (COND
+(DEFUN |UPOLYC-;eval;SLLS;5| (|p| |lv| |lq| $)
+ (COND
((NULL |lv|) |p|)
- ((NULL (NULL (CDR |lv|)))
- (|error| "can only eval a univariate polynomial once"))
- ((QUOTE T)
- (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lq|) (QREFELT |$| 21)))))
+ ((NULL (NULL (CDR |lv|)))
+ (|error| "can only eval a univariate polynomial once"))
+ ('T
+ (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lq|)
+ (QREFELT $ 21)))))
-(DEFUN |UPOLYC-;eval;SSaos2S;6| (|p| |v| |q| |$|)
- (SPADCALL |p| |q| (QREFELT |$| 24)))
+(DEFUN |UPOLYC-;eval;SSaos2S;6| (|p| |v| |q| $)
+ (SPADCALL |p| |q| (QREFELT $ 24)))
-(DEFUN |UPOLYC-;eval;SLLS;7| (|p| |lv| |lr| |$|)
- (COND
+(DEFUN |UPOLYC-;eval;SLLS;7| (|p| |lv| |lr| $)
+ (COND
((NULL |lv|) |p|)
- ((NULL (NULL (CDR |lv|)))
- (|error| "can only eval a univariate polynomial once"))
- ((QUOTE T)
- (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lr|) (QREFELT |$| 26)))))
+ ((NULL (NULL (CDR |lv|)))
+ (|error| "can only eval a univariate polynomial once"))
+ ('T
+ (SPADCALL |p| (|SPADfirst| |lv|) (|SPADfirst| |lr|)
+ (QREFELT $ 26)))))
-(DEFUN |UPOLYC-;eval;SSaosRS;8| (|p| |v| |r| |$|)
- (SPADCALL (SPADCALL |p| |r| (QREFELT |$| 29)) (QREFELT |$| 30)))
+(DEFUN |UPOLYC-;eval;SSaosRS;8| (|p| |v| |r| $)
+ (SPADCALL (SPADCALL |p| |r| (QREFELT $ 29)) (QREFELT $ 30)))
-(DEFUN |UPOLYC-;eval;SLS;9| (|p| |le| |$|)
- (COND
+(DEFUN |UPOLYC-;eval;SLS;9| (|p| |le| $)
+ (COND
((NULL |le|) |p|)
- ((NULL (NULL (CDR |le|)))
- (|error| "can only eval a univariate polynomial once"))
- ((QUOTE T)
- (COND
- ((QEQCAR
- (SPADCALL
- (SPADCALL (|SPADfirst| |le|) (QREFELT |$| 33))
- (QREFELT |$| 35))
- 1)
- |p|)
- ((QUOTE T)
- (SPADCALL |p|
- (SPADCALL (|SPADfirst| |le|) (QREFELT |$| 36))
- (QREFELT |$| 24)))))))
-
-(DEFUN |UPOLYC-;mainVariable;SU;10| (|p| |$|)
- (COND
- ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) (CONS 1 "failed"))
- ((QUOTE T) (CONS 0 (SPADCALL (QREFELT |$| 13))))))
-
-(DEFUN |UPOLYC-;minimumDegree;SSaosNni;11| (|p| |v| |$|)
- (SPADCALL |p| (QREFELT |$| 40)))
-
-(DEFUN |UPOLYC-;minimumDegree;SLL;12| (|p| |lv| |$|)
- (COND ((NULL |lv|) NIL) ((QUOTE T) (LIST (SPADCALL |p| (QREFELT |$| 40))))))
-
-(DEFUN |UPOLYC-;monomial;SSaosNniS;13| (|p| |v| |n| |$|)
- (SPADCALL
- (CONS (FUNCTION |UPOLYC-;monomial;SSaosNniS;13!0|) (VECTOR |$| |n|))
- |p|
- (QREFELT |$| 45)))
-
-(DEFUN |UPOLYC-;monomial;SSaosNniS;13!0| (|#1| |$$|)
- (SPADCALL |#1| (QREFELT |$$| 1) (QREFELT (QREFELT |$$| 0) 43)))
-
-(DEFUN |UPOLYC-;coerce;SaosS;14| (|v| |$|)
- (SPADCALL (|spadConstant| |$| 48) 1 (QREFELT |$| 49)))
-
-(DEFUN |UPOLYC-;makeSUP;SSup;15| (|p| |$|)
- (COND
- ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 52))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 53))
- (SPADCALL |p| (QREFELT |$| 11))
- (QREFELT |$| 54))
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 55))
- (QREFELT |$| 56))
- (QREFELT |$| 57)))))
-
-(DEFUN |UPOLYC-;unmakeSUP;SupS;16| (|sp| |$|)
- (COND
- ((SPADCALL |sp| (QREFELT |$| 59)) (|spadConstant| |$| 60))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL
- (SPADCALL |sp| (QREFELT |$| 61))
- (SPADCALL |sp| (QREFELT |$| 62))
- (QREFELT |$| 49))
- (SPADCALL (SPADCALL |sp| (QREFELT |$| 63)) (QREFELT |$| 64))
- (QREFELT |$| 65)))))
-
-(DEFUN |UPOLYC-;karatsubaDivide;SNniR;17| (|p| |n| |$|)
- (SPADCALL |p|
- (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49))
- (QREFELT |$| 68)))
-
-(DEFUN |UPOLYC-;shiftRight;SNniS;18| (|p| |n| |$|)
- (QCAR
- (SPADCALL |p|
- (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49))
- (QREFELT |$| 68))))
-
-(DEFUN |UPOLYC-;shiftLeft;SNniS;19| (|p| |n| |$|)
- (SPADCALL |p|
- (SPADCALL (|spadConstant| |$| 48) |n| (QREFELT |$| 49)) (QREFELT |$| 71)))
-
-(DEFUN |UPOLYC-;solveLinearPolynomialEquation;LSupU;20| (|lpp| |pp| |$|)
- (SPADCALL |lpp| |pp| (QREFELT |$| 77)))
-
-(DEFUN |UPOLYC-;factorPolynomial;SupF;21| (|pp| |$|)
- (SPADCALL |pp| (QREFELT |$| 83)))
-
-(DEFUN |UPOLYC-;factorSquareFreePolynomial;SupF;22| (|pp| |$|)
- (SPADCALL |pp| (QREFELT |$| 86)))
-
-(DEFUN |UPOLYC-;factor;SF;23| (|p| |$|)
- (PROG (|ansR| #1=#:G103310 |w| #2=#:G103311)
- (RETURN
- (SEQ
- (COND
- ((ZEROP (SPADCALL |p| (QREFELT |$| 11)))
- (SEQ
- (LETT |ansR|
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 53))
- (QREFELT |$| 89))
- |UPOLYC-;factor;SF;23|)
- (EXIT
- (SPADCALL
- (SPADCALL
- (SPADCALL |ansR| (QREFELT |$| 91))
- (QREFELT |$| 30))
- (PROGN
- (LETT #1# NIL |UPOLYC-;factor;SF;23|)
- (SEQ
- (LETT |w| NIL |UPOLYC-;factor;SF;23|)
- (LETT #2#
- (SPADCALL |ansR| (QREFELT |$| 95))
- |UPOLYC-;factor;SF;23|)
- G190
- (COND
- ((OR
- (ATOM #2#)
- (PROGN
- (LETT |w| (CAR #2#) |UPOLYC-;factor;SF;23|)
- NIL))
- (GO G191)))
- (SEQ
- (EXIT
- (LETT #1#
- (CONS
- (VECTOR
- (QVELT |w| 0)
- (SPADCALL (QVELT |w| 1) (QREFELT |$| 30))
- (QVELT |w| 2))
- #1#)
- |UPOLYC-;factor;SF;23|)))
- (LETT #2# (CDR #2#) |UPOLYC-;factor;SF;23|)
- (GO G190)
- G191
- (EXIT (NREVERSE0 #1#))))
- (QREFELT |$| 99)))))
- ((QUOTE T)
- (SPADCALL
- (ELT |$| 64)
- (SPADCALL (SPADCALL |p| (QREFELT |$| 56)) (QREFELT |$| 100))
- (QREFELT |$| 104))))))))
-
-(DEFUN |UPOLYC-;vectorise;SNniV;24| (|p| |n| |$|)
- (PROG (|v| |m| |i| #1=#:G103316 #2=#:G103312)
- (RETURN
- (SEQ
- (LETT |m|
- (SPADCALL
- (LETT |v|
- (SPADCALL |n| (|spadConstant| |$| 106) (QREFELT |$| 108))
- |UPOLYC-;vectorise;SNniV;24|)
- (QREFELT |$| 110))
- |UPOLYC-;vectorise;SNniV;24|)
- (SEQ
- (LETT |i|
- (SPADCALL |v| (QREFELT |$| 110))
- |UPOLYC-;vectorise;SNniV;24|)
- (LETT #1# (QVSIZE |v|) |UPOLYC-;vectorise;SNniV;24|)
- G190
- (COND ((|>| |i| #1#) (GO G191)))
- (SEQ
- (EXIT
- (SPADCALL |v| |i|
- (SPADCALL |p|
- (PROG1
- (LETT #2# (|-| |i| |m|) |UPOLYC-;vectorise;SNniV;24|)
- (|check-subtype|
- (|>=| #2# 0)
- (QUOTE (|NonNegativeInteger|))
- #2#))
- (QREFELT |$| 111))
- (QREFELT |$| 112))))
- (LETT |i| (|+| |i| 1) |UPOLYC-;vectorise;SNniV;24|)
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |v|)))))
-
-(DEFUN |UPOLYC-;retract;SR;25| (|p| |$|)
- (COND
- ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 106))
- ((ZEROP (SPADCALL |p| (QREFELT |$| 11))) (SPADCALL |p| (QREFELT |$| 53)))
- ((QUOTE T) (|error| "Polynomial is not of degree 0"))))
-
-(DEFUN |UPOLYC-;retractIfCan;SU;26| (|p| |$|)
- (COND
- ((SPADCALL |p| (QREFELT |$| 9)) (CONS 0 (|spadConstant| |$| 106)))
- ((ZEROP (SPADCALL |p| (QREFELT |$| 11)))
- (CONS 0 (SPADCALL |p| (QREFELT |$| 53))))
- ((QUOTE T) (CONS 1 "failed"))))
-
-(DEFUN |UPOLYC-;init;S;27| (|$|)
- (SPADCALL (|spadConstant| |$| 117) (QREFELT |$| 30)))
-
-(DEFUN |UPOLYC-;nextItemInner| (|n| |$|)
- (PROG (|nn| |n1| |n2| #1=#:G103337 |n3|)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |n| (QREFELT |$| 9))
- (CONS
- 0
- (SPADCALL
- (PROG2
- (LETT #1#
- (SPADCALL (|spadConstant| |$| 106) (QREFELT |$| 120))
- |UPOLYC-;nextItemInner|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#))
- (QREFELT |$| 30))))
- ((ZEROP (SPADCALL |n| (QREFELT |$| 11)))
- (SEQ
- (LETT |nn|
- (SPADCALL (SPADCALL |n| (QREFELT |$| 53)) (QREFELT |$| 120))
- |UPOLYC-;nextItemInner|)
- (EXIT
- (COND
- ((QEQCAR |nn| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (CONS 0 (SPADCALL (QCDR |nn|) (QREFELT |$| 30))))))))
- ((QUOTE T)
- (SEQ
- (LETT |n1|
- (SPADCALL |n| (QREFELT |$| 55))
- |UPOLYC-;nextItemInner|)
- (LETT |n2|
- (|UPOLYC-;nextItemInner| |n1| |$|)
- |UPOLYC-;nextItemInner|)
- (EXIT
- (COND
- ((QEQCAR |n2| 0)
- (CONS
- 0
- (SPADCALL
- (SPADCALL
- (SPADCALL |n| (QREFELT |$| 53))
- (SPADCALL |n| (QREFELT |$| 11))
- (QREFELT |$| 49))
- (QCDR |n2|)
- (QREFELT |$| 65))))
- ((|<|
- (|+| 1 (SPADCALL |n1| (QREFELT |$| 11)))
- (SPADCALL |n| (QREFELT |$| 11)))
- (CONS
- 0
- (SPADCALL
- (SPADCALL
- (SPADCALL |n| (QREFELT |$| 53))
- (SPADCALL |n| (QREFELT |$| 11))
- (QREFELT |$| 49))
- (SPADCALL
- (PROG2
- (LETT #1#
- (SPADCALL
- (|spadConstant| |$| 117)
- (QREFELT |$| 120))
- |UPOLYC-;nextItemInner|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#))
- (|+| 1 (SPADCALL |n1| (QREFELT |$| 11)))
- (QREFELT |$| 49))
- (QREFELT |$| 65))))
- ((QUOTE T)
- (SEQ
- (LETT |n3|
- (SPADCALL
- (SPADCALL |n| (QREFELT |$| 53))
- (QREFELT |$| 120))
- |UPOLYC-;nextItemInner|)
- (EXIT
- (COND
- ((QEQCAR |n3| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (CONS
- 0
- (SPADCALL
- (QCDR |n3|)
- (SPADCALL |n| (QREFELT |$| 11))
- (QREFELT |$| 49)))))))))))))))))
-
-(DEFUN |UPOLYC-;nextItem;SU;29| (|n| |$|)
- (PROG (|n1| #1=#:G103350)
- (RETURN
- (SEQ
- (LETT |n1| (|UPOLYC-;nextItemInner| |n| |$|) |UPOLYC-;nextItem;SU;29|)
- (EXIT
- (COND
- ((QEQCAR |n1| 1)
- (CONS
- 0
- (SPADCALL
- (PROG2
- (LETT #1#
- (SPADCALL (|spadConstant| |$| 117) (QREFELT |$| 120))
- |UPOLYC-;nextItem;SU;29|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 7) #1#))
- (|+| 1 (SPADCALL |n| (QREFELT |$| 11)))
- (QREFELT |$| 49))))
- ((QUOTE T) |n1|)))))))
-
-(DEFUN |UPOLYC-;content;SSaosS;30| (|p| |v| |$|)
- (SPADCALL (SPADCALL |p| (QREFELT |$| 123)) (QREFELT |$| 30)))
-
-(DEFUN |UPOLYC-;primeFactor| (|p| |q| |$|)
- (PROG (#1=#:G103356 |p1|)
- (RETURN
- (SEQ
- (LETT |p1|
- (PROG2
- (LETT #1#
- (SPADCALL |p|
- (SPADCALL |p| |q| (QREFELT |$| 125))
- (QREFELT |$| 126))
- |UPOLYC-;primeFactor|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#))
- |UPOLYC-;primeFactor|)
- (EXIT
- (COND
- ((SPADCALL |p1| |p| (QREFELT |$| 127)) |p|)
- ((QUOTE T) (|UPOLYC-;primeFactor| |p1| |q| |$|))))))))
-
-(DEFUN |UPOLYC-;separate;2SR;32| (|p| |q| |$|)
- (PROG (|a| #1=#:G103362)
- (RETURN
- (SEQ
- (LETT |a|
- (|UPOLYC-;primeFactor| |p| |q| |$|)
- |UPOLYC-;separate;2SR;32|)
- (EXIT
- (CONS
- |a|
- (PROG2
- (LETT #1#
- (SPADCALL |p| |a| (QREFELT |$| 126))
- |UPOLYC-;separate;2SR;32|)
- (QCDR #1#)
- (|check-union| (QEQCAR #1# 0) (QREFELT |$| 6) #1#))))))))
-
-(DEFUN |UPOLYC-;differentiate;SM2S;33| (|x| |deriv| |x'| |$|)
- (PROG (|dg| |lc| #1=#:G103367 |d|)
- (RETURN
- (SEQ
- (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;SM2S;33|)
- (SEQ G190
- (COND
- ((NULL
- (|<| 0
- (LETT |dg|
- (SPADCALL |x| (QREFELT |$| 11))
- |UPOLYC-;differentiate;SM2S;33|)))
- (GO G191)))
- (SEQ
- (LETT |lc|
- (SPADCALL |x| (QREFELT |$| 53))
- |UPOLYC-;differentiate;SM2S;33|)
- (LETT |d|
- (SPADCALL
- (SPADCALL |d|
- (SPADCALL |x'|
- (SPADCALL
- (SPADCALL |dg| |lc| (QREFELT |$| 131))
- (PROG1
- (LETT #1# (|-| |dg| 1) |UPOLYC-;differentiate;SM2S;33|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- (QREFELT |$| 49))
- (QREFELT |$| 71))
- (QREFELT |$| 65))
- (SPADCALL
- (SPADCALL |lc| |deriv|)
- |dg|
- (QREFELT |$| 49))
- (QREFELT |$| 65))
- |UPOLYC-;differentiate;SM2S;33|)
- (EXIT
- (LETT |x|
- (SPADCALL |x| (QREFELT |$| 55))
- |UPOLYC-;differentiate;SM2S;33|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT
- (SPADCALL |d|
- (SPADCALL
- (SPADCALL
- (SPADCALL |x| (QREFELT |$| 53))
- |deriv|)
- (QREFELT |$| 30))
- (QREFELT |$| 65)))))))
-
-(DEFUN |UPOLYC-;ncdiff| (|n| |x'| |$|)
- (PROG (#1=#:G103385 |n1|)
- (RETURN
- (COND
- ((ZEROP |n|) (|spadConstant| |$| 60))
- ((ZEROP
- (LETT |n1|
- (PROG1
- (LETT #1# (|-| |n| 1) |UPOLYC-;ncdiff|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- |UPOLYC-;ncdiff|))
- |x'|)
- ((QUOTE T)
- (SPADCALL
- (SPADCALL |x'|
- (SPADCALL (|spadConstant| |$| 48) |n1| (QREFELT |$| 49))
- (QREFELT |$| 71))
- (SPADCALL
- (SPADCALL (|spadConstant| |$| 48) 1 (QREFELT |$| 49))
- (|UPOLYC-;ncdiff| |n1| |x'| |$|)
- (QREFELT |$| 71))
- (QREFELT |$| 65)))))))
-
-(DEFUN |UPOLYC-;differentiate;SM2S;35| (|x| |deriv| |x'| |$|)
- (PROG (|dg| |lc| |d|)
- (RETURN
- (SEQ
- (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;SM2S;35|)
- (SEQ G190
- (COND
- ((NULL
- (|<| 0
- (LETT |dg|
- (SPADCALL |x| (QREFELT |$| 11))
- |UPOLYC-;differentiate;SM2S;35|)))
- (GO G191)))
- (SEQ
- (LETT |lc|
- (SPADCALL |x| (QREFELT |$| 53))
- |UPOLYC-;differentiate;SM2S;35|)
- (LETT |d|
- (SPADCALL
- (SPADCALL |d|
- (SPADCALL
- (SPADCALL |lc| |deriv|)
- |dg|
- (QREFELT |$| 49))
- (QREFELT |$| 65))
- (SPADCALL |lc|
- (|UPOLYC-;ncdiff| |dg| |x'| |$|)
- (QREFELT |$| 134))
- (QREFELT |$| 65))
- |UPOLYC-;differentiate;SM2S;35|)
- (EXIT
- (LETT |x|
- (SPADCALL |x| (QREFELT |$| 55))
- |UPOLYC-;differentiate;SM2S;35|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT
- (SPADCALL |d|
- (SPADCALL
- (SPADCALL (SPADCALL |x| (QREFELT |$| 53)) |deriv|)
- (QREFELT |$| 30))
- (QREFELT |$| 65)))))))
-
-(DEFUN |UPOLYC-;differentiate;SMS;36| (|x| |deriv| |$|)
- (SPADCALL |x| |deriv| (|spadConstant| |$| 47) (QREFELT |$| 135)))
-
-(DEFUN |UPOLYC-;differentiate;2S;37| (|x| |$|)
- (PROG (|dg| #1=#:G103394 |d|)
- (RETURN
- (SEQ
- (LETT |d| (|spadConstant| |$| 60) |UPOLYC-;differentiate;2S;37|)
- (SEQ G190
- (COND
- ((NULL
- (|<| 0
- (LETT |dg|
- (SPADCALL |x| (QREFELT |$| 11))
- |UPOLYC-;differentiate;2S;37|)))
- (GO G191)))
- (SEQ
- (LETT |d|
- (SPADCALL |d|
- (SPADCALL
- (SPADCALL |dg|
- (SPADCALL |x| (QREFELT |$| 53)) (QREFELT |$| 131))
- (PROG1
- (LETT #1# (|-| |dg| 1) |UPOLYC-;differentiate;2S;37|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- (QREFELT |$| 49))
- (QREFELT |$| 65))
- |UPOLYC-;differentiate;2S;37|)
- (EXIT
- (LETT |x|
- (SPADCALL |x| (QREFELT |$| 55))
- |UPOLYC-;differentiate;2S;37|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |d|)))))
-
-(DEFUN |UPOLYC-;differentiate;SSaosS;38| (|x| |v| |$|)
- (SPADCALL |x| (QREFELT |$| 138)))
-
-(DEFUN |UPOLYC-;elt;3F;39| (|g| |f| |$|)
- (SPADCALL
- (SPADCALL
- (SPADCALL |g| (QREFELT |$| 141))
- |f|
- (QREFELT |$| 143))
- (SPADCALL (SPADCALL |g| (QREFELT |$| 144)) |f| (QREFELT |$| 143))
- (QREFELT |$| 145)))
-
-(DEFUN |UPOLYC-;pseudoQuotient;3S;40| (|p| |q| |$|)
- (PROG (|n| #1=#:G103440 #2=#:G103442)
- (RETURN
- (SEQ
- (LETT |n|
- (|+|
- (|-|
- (SPADCALL |p| (QREFELT |$| 11))
- (SPADCALL |q| (QREFELT |$| 11))) 1)
- |UPOLYC-;pseudoQuotient;3S;40|)
- (EXIT
- (COND
- ((|<| |n| 1) (|spadConstant| |$| 60))
- ((QUOTE T)
- (PROG2
- (LETT #2#
- (SPADCALL
- (SPADCALL
- (SPADCALL
- (SPADCALL
- (SPADCALL |q| (QREFELT |$| 53))
- (PROG1
- (LETT #1# |n| |UPOLYC-;pseudoQuotient;3S;40|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- (QREFELT |$| 147))
- |p|
- (QREFELT |$| 134))
- (SPADCALL |p| |q| (QREFELT |$| 148))
- (QREFELT |$| 149))
- |q|
- (QREFELT |$| 126))
- |UPOLYC-;pseudoQuotient;3S;40|)
- (QCDR #2#)
- (|check-union| (QEQCAR #2# 0) (QREFELT |$| 6) #2#)))))))))
-
-(DEFUN |UPOLYC-;pseudoDivide;2SR;41| (|p| |q| |$|)
- (PROG (|n| |prem| #1=#:G103448 |lc| #2=#:G103450)
- (RETURN
- (SEQ
- (LETT |n|
- (|+|
- (|-|
- (SPADCALL |p| (QREFELT |$| 11))
- (SPADCALL |q| (QREFELT |$| 11))) 1)
- |UPOLYC-;pseudoDivide;2SR;41|)
- (EXIT
- (COND
- ((|<| |n| 1)
- (VECTOR (|spadConstant| |$| 48) (|spadConstant| |$| 60) |p|))
- ((QUOTE T)
- (SEQ
- (LETT |prem|
- (SPADCALL |p| |q| (QREFELT |$| 148))
- |UPOLYC-;pseudoDivide;2SR;41|)
- (LETT |lc|
- (SPADCALL
- (SPADCALL |q| (QREFELT |$| 53))
- (PROG1
- (LETT #1# |n| |UPOLYC-;pseudoDivide;2SR;41|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|)) #1#))
- (QREFELT |$| 147))
- |UPOLYC-;pseudoDivide;2SR;41|)
- (EXIT
- (VECTOR |lc|
- (PROG2
- (LETT #2#
- (SPADCALL
- (SPADCALL
- (SPADCALL |lc| |p| (QREFELT |$| 134))
- |prem|
- (QREFELT |$| 149))
- |q|
- (QREFELT |$| 126))
- |UPOLYC-;pseudoDivide;2SR;41|)
- (QCDR #2#)
- (|check-union| (QEQCAR #2# 0) (QREFELT |$| 6) #2#))
- |prem|))))))))))
-
-(DEFUN |UPOLYC-;composite;FSU;42| (|f| |q| |$|)
- (PROG (|n| |d|)
- (RETURN
- (SEQ
- (LETT |n|
- (SPADCALL (SPADCALL |f| (QREFELT |$| 141)) |q| (QREFELT |$| 153))
- |UPOLYC-;composite;FSU;42|)
- (EXIT
- (COND
- ((QEQCAR |n| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (SEQ
- (LETT |d|
- (SPADCALL
- (SPADCALL |f| (QREFELT |$| 144)) |q| (QREFELT |$| 153))
- |UPOLYC-;composite;FSU;42|)
- (EXIT
- (COND
- ((QEQCAR |d| 1) (CONS 1 "failed"))
- ((QUOTE T)
- (CONS
- 0
- (SPADCALL
- (QCDR |n|)
- (QCDR |d|)
- (QREFELT |$| 154))))))))))))))
-
-(DEFUN |UPOLYC-;composite;2SU;43| (|p| |q| |$|)
- (PROG (|cqr| |v| |u| |w| #1=#:G103476)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |p| (QREFELT |$| 157)) (CONS 0 |p|))
- ((QUOTE T)
- (SEQ
- (EXIT
- (SEQ
- (LETT |cqr|
- (SPADCALL |p| |q| (QREFELT |$| 158))
- |UPOLYC-;composite;2SU;43|)
- (COND
- ((SPADCALL (QVELT |cqr| 2) (QREFELT |$| 157))
- (SEQ
- (LETT |v|
- (SPADCALL
- (QVELT |cqr| 2)
- (QVELT |cqr| 0)
- (QREFELT |$| 159))
- |UPOLYC-;composite;2SU;43|)
- (EXIT
- (COND
- ((QEQCAR |v| 0)
- (SEQ
- (LETT |u|
- (SPADCALL
- (QVELT |cqr| 1)
- |q|
- (QREFELT |$| 153))
- |UPOLYC-;composite;2SU;43|)
- (EXIT
- (COND
- ((QEQCAR |u| 0)
- (SEQ
- (LETT |w|
- (SPADCALL
- (QCDR |u|)
- (QVELT |cqr| 0)
- (QREFELT |$| 159))
- |UPOLYC-;composite;2SU;43|)
- (EXIT
- (COND
- ((QEQCAR |w| 0)
- (PROGN
- (LETT #1#
- (CONS
- 0
- (SPADCALL
- (QCDR |v|)
- (SPADCALL
- (SPADCALL
- (|spadConstant| |$| 48)
- 1
- (QREFELT |$| 49))
- (QCDR |w|)
- (QREFELT |$| 71))
- (QREFELT |$| 65)))
- |UPOLYC-;composite;2SU;43|)
- (GO #1#))))))))))))))))
- (EXIT (CONS 1 "failed"))))
- #1#
- (EXIT #1#))))))))
-
-(DEFUN |UPOLYC-;elt;S2F;44| (|p| |f| |$|)
- (PROG (|n| #1=#:G103483 |ans|)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |p| (QREFELT |$| 9)) (|spadConstant| |$| 161))
- ((QUOTE T)
- (SEQ
- (LETT |ans|
- (SPADCALL
- (SPADCALL (SPADCALL |p| (QREFELT |$| 53)) (QREFELT |$| 30))
- (QREFELT |$| 162))
- |UPOLYC-;elt;S2F;44|)
- (LETT |n| (SPADCALL |p| (QREFELT |$| 11)) |UPOLYC-;elt;S2F;44|)
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((SPADCALL
- (LETT |p|
- (SPADCALL |p| (QREFELT |$| 55))
- |UPOLYC-;elt;S2F;44|)
- (QREFELT |$| 9))
- (QUOTE NIL))
- ((QUOTE T) (QUOTE T))))
+ ((NULL (NULL (CDR |le|)))
+ (|error| "can only eval a univariate polynomial once"))
+ ('T
+ (COND
+ ((QEQCAR (SPADCALL (SPADCALL (|SPADfirst| |le|) (QREFELT $ 33))
+ (QREFELT $ 35))
+ 1)
+ |p|)
+ ('T
+ (SPADCALL |p| (SPADCALL (|SPADfirst| |le|) (QREFELT $ 36))
+ (QREFELT $ 24)))))))
+
+(DEFUN |UPOLYC-;mainVariable;SU;10| (|p| $)
+ (COND
+ ((ZEROP (SPADCALL |p| (QREFELT $ 11))) (CONS 1 "failed"))
+ ('T (CONS 0 (SPADCALL (QREFELT $ 13))))))
+
+(DEFUN |UPOLYC-;minimumDegree;SSaosNni;11| (|p| |v| $)
+ (SPADCALL |p| (QREFELT $ 40)))
+
+(DEFUN |UPOLYC-;minimumDegree;SLL;12| (|p| |lv| $)
+ (COND ((NULL |lv|) NIL) ('T (LIST (SPADCALL |p| (QREFELT $ 40))))))
+
+(DEFUN |UPOLYC-;monomial;SSaosNniS;13| (|p| |v| |n| $)
+ (SPADCALL (CONS #'|UPOLYC-;monomial;SSaosNniS;13!0| (VECTOR $ |n|))
+ |p| (QREFELT $ 45)))
+
+(DEFUN |UPOLYC-;monomial;SSaosNniS;13!0| (|#1| $$)
+ (SPADCALL |#1| (QREFELT $$ 1) (QREFELT (QREFELT $$ 0) 43)))
+
+(DEFUN |UPOLYC-;coerce;SaosS;14| (|v| $)
+ (SPADCALL (|spadConstant| $ 48) 1 (QREFELT $ 49)))
+
+(DEFUN |UPOLYC-;makeSUP;SSup;15| (|p| $)
+ (COND
+ ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 52))
+ ('T
+ (SPADCALL
+ (SPADCALL (SPADCALL |p| (QREFELT $ 53))
+ (SPADCALL |p| (QREFELT $ 11)) (QREFELT $ 54))
+ (SPADCALL (SPADCALL |p| (QREFELT $ 55)) (QREFELT $ 56))
+ (QREFELT $ 57)))))
+
+(DEFUN |UPOLYC-;unmakeSUP;SupS;16| (|sp| $)
+ (COND
+ ((SPADCALL |sp| (QREFELT $ 59)) (|spadConstant| $ 60))
+ ('T
+ (SPADCALL
+ (SPADCALL (SPADCALL |sp| (QREFELT $ 61))
+ (SPADCALL |sp| (QREFELT $ 62)) (QREFELT $ 49))
+ (SPADCALL (SPADCALL |sp| (QREFELT $ 63)) (QREFELT $ 64))
+ (QREFELT $ 65)))))
+
+(DEFUN |UPOLYC-;karatsubaDivide;SNniR;17| (|p| |n| $)
+ (SPADCALL |p| (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49))
+ (QREFELT $ 68)))
+
+(DEFUN |UPOLYC-;shiftRight;SNniS;18| (|p| |n| $)
+ (QCAR (SPADCALL |p|
+ (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49))
+ (QREFELT $ 68))))
+
+(DEFUN |UPOLYC-;shiftLeft;SNniS;19| (|p| |n| $)
+ (SPADCALL |p| (SPADCALL (|spadConstant| $ 48) |n| (QREFELT $ 49))
+ (QREFELT $ 71)))
+
+(DEFUN |UPOLYC-;solveLinearPolynomialEquation;LSupU;20| (|lpp| |pp| $)
+ (SPADCALL |lpp| |pp| (QREFELT $ 77)))
+
+(DEFUN |UPOLYC-;factorPolynomial;SupF;21| (|pp| $)
+ (SPADCALL |pp| (QREFELT $ 83)))
+
+(DEFUN |UPOLYC-;factorSquareFreePolynomial;SupF;22| (|pp| $)
+ (SPADCALL |pp| (QREFELT $ 86)))
+
+(DEFUN |UPOLYC-;factor;SF;23| (|p| $)
+ (PROG (|ansR| #0=#:G1509 |w| #1=#:G1510)
+ (RETURN
+ (SEQ (COND
+ ((ZEROP (SPADCALL |p| (QREFELT $ 11)))
+ (SEQ (LETT |ansR|
+ (SPADCALL (SPADCALL |p| (QREFELT $ 53))
+ (QREFELT $ 89))
+ |UPOLYC-;factor;SF;23|)
+ (EXIT (SPADCALL
+ (SPADCALL (SPADCALL |ansR| (QREFELT $ 91))
+ (QREFELT $ 30))
+ (PROGN
+ (LETT #0# NIL |UPOLYC-;factor;SF;23|)
+ (SEQ (LETT |w| NIL
+ |UPOLYC-;factor;SF;23|)
+ (LETT #1#
+ (SPADCALL |ansR| (QREFELT $ 95))
+ |UPOLYC-;factor;SF;23|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |w| (CAR #1#)
+ |UPOLYC-;factor;SF;23|)
+ NIL))
+ (GO G191)))
+ (SEQ
+ (EXIT
+ (LETT #0#
+ (CONS
+ (VECTOR (QVELT |w| 0)
+ (SPADCALL (QVELT |w| 1)
+ (QREFELT $ 30))
+ (QVELT |w| 2))
+ #0#)
+ |UPOLYC-;factor;SF;23|)))
+ (LETT #1# (CDR #1#)
+ |UPOLYC-;factor;SF;23|)
+ (GO G190) G191
+ (EXIT (NREVERSE0 #0#))))
+ (QREFELT $ 99)))))
+ ('T
+ (SPADCALL (ELT $ 64)
+ (SPADCALL (SPADCALL |p| (QREFELT $ 56))
+ (QREFELT $ 100))
+ (QREFELT $ 104))))))))
+
+(DEFUN |UPOLYC-;vectorise;SNniV;24| (|p| |n| $)
+ (PROG (|v| |m| |i| #0=#:G1515 #1=#:G1511)
+ (RETURN
+ (SEQ (LETT |m|
+ (SPADCALL
+ (LETT |v|
+ (SPADCALL |n| (|spadConstant| $ 106)
+ (QREFELT $ 108))
+ |UPOLYC-;vectorise;SNniV;24|)
+ (QREFELT $ 110))
+ |UPOLYC-;vectorise;SNniV;24|)
+ (SEQ (LETT |i| (SPADCALL |v| (QREFELT $ 110))
+ |UPOLYC-;vectorise;SNniV;24|)
+ (LETT #0# (QVSIZE |v|) |UPOLYC-;vectorise;SNniV;24|)
+ G190 (COND ((> |i| #0#) (GO G191)))
+ (SEQ (EXIT (SPADCALL |v| |i|
+ (SPADCALL |p|
+ (PROG1
+ (LETT #1# (- |i| |m|)
+ |UPOLYC-;vectorise;SNniV;24|)
+ (|check-subtype| (>= #1# 0)
+ '(|NonNegativeInteger|)
+ #1#))
+ (QREFELT $ 111))
+ (QREFELT $ 112))))
+ (LETT |i| (+ |i| 1) |UPOLYC-;vectorise;SNniV;24|)
+ (GO G190) G191 (EXIT NIL))
+ (EXIT |v|)))))
+
+(DEFUN |UPOLYC-;retract;SR;25| (|p| $)
+ (COND
+ ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 106))
+ ((ZEROP (SPADCALL |p| (QREFELT $ 11)))
+ (SPADCALL |p| (QREFELT $ 53)))
+ ('T (|error| "Polynomial is not of degree 0"))))
+
+(DEFUN |UPOLYC-;retractIfCan;SU;26| (|p| $)
+ (COND
+ ((SPADCALL |p| (QREFELT $ 9)) (CONS 0 (|spadConstant| $ 106)))
+ ((ZEROP (SPADCALL |p| (QREFELT $ 11)))
+ (CONS 0 (SPADCALL |p| (QREFELT $ 53))))
+ ('T (CONS 1 "failed"))))
+
+(DEFUN |UPOLYC-;init;S;27| ($)
+ (SPADCALL (|spadConstant| $ 117) (QREFELT $ 30)))
+
+(DEFUN |UPOLYC-;nextItemInner| (|n| $)
+ (PROG (|nn| |n1| |n2| #0=#:G1536 |n3|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |n| (QREFELT $ 9))
+ (CONS 0
+ (SPADCALL
+ (PROG2 (LETT #0#
+ (SPADCALL (|spadConstant| $ 106)
+ (QREFELT $ 120))
+ |UPOLYC-;nextItemInner|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 7)
+ #0#))
+ (QREFELT $ 30))))
+ ((ZEROP (SPADCALL |n| (QREFELT $ 11)))
+ (SEQ (LETT |nn|
+ (SPADCALL (SPADCALL |n| (QREFELT $ 53))
+ (QREFELT $ 120))
+ |UPOLYC-;nextItemInner|)
+ (EXIT (COND
+ ((QEQCAR |nn| 1) (CONS 1 "failed"))
+ ('T
+ (CONS 0
+ (SPADCALL (QCDR |nn|) (QREFELT $ 30))))))))
+ ('T
+ (SEQ (LETT |n1| (SPADCALL |n| (QREFELT $ 55))
+ |UPOLYC-;nextItemInner|)
+ (LETT |n2| (|UPOLYC-;nextItemInner| |n1| $)
+ |UPOLYC-;nextItemInner|)
+ (EXIT (COND
+ ((QEQCAR |n2| 0)
+ (CONS 0
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |n| (QREFELT $ 53))
+ (SPADCALL |n| (QREFELT $ 11))
+ (QREFELT $ 49))
+ (QCDR |n2|) (QREFELT $ 65))))
+ ((< (+ 1 (SPADCALL |n1| (QREFELT $ 11)))
+ (SPADCALL |n| (QREFELT $ 11)))
+ (CONS 0
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |n| (QREFELT $ 53))
+ (SPADCALL |n| (QREFELT $ 11))
+ (QREFELT $ 49))
+ (SPADCALL
+ (PROG2
+ (LETT #0#
+ (SPADCALL
+ (|spadConstant| $ 117)
+ (QREFELT $ 120))
+ |UPOLYC-;nextItemInner|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 7) #0#))
+ (+ 1
+ (SPADCALL |n1| (QREFELT $ 11)))
+ (QREFELT $ 49))
+ (QREFELT $ 65))))
+ ('T
+ (SEQ (LETT |n3|
+ (SPADCALL
+ (SPADCALL |n| (QREFELT $ 53))
+ (QREFELT $ 120))
+ |UPOLYC-;nextItemInner|)
+ (EXIT (COND
+ ((QEQCAR |n3| 1)
+ (CONS 1 "failed"))
+ ('T
+ (CONS 0
+ (SPADCALL (QCDR |n3|)
+ (SPADCALL |n|
+ (QREFELT $ 11))
+ (QREFELT $ 49)))))))))))))))))
+
+(DEFUN |UPOLYC-;nextItem;SU;29| (|n| $)
+ (PROG (|n1| #0=#:G1549)
+ (RETURN
+ (SEQ (LETT |n1| (|UPOLYC-;nextItemInner| |n| $)
+ |UPOLYC-;nextItem;SU;29|)
+ (EXIT (COND
+ ((QEQCAR |n1| 1)
+ (CONS 0
+ (SPADCALL
+ (PROG2 (LETT #0#
+ (SPADCALL (|spadConstant| $ 117)
+ (QREFELT $ 120))
+ |UPOLYC-;nextItem;SU;29|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 7) #0#))
+ (+ 1 (SPADCALL |n| (QREFELT $ 11)))
+ (QREFELT $ 49))))
+ ('T |n1|)))))))
+
+(DEFUN |UPOLYC-;content;SSaosS;30| (|p| |v| $)
+ (SPADCALL (SPADCALL |p| (QREFELT $ 123)) (QREFELT $ 30)))
+
+(DEFUN |UPOLYC-;primeFactor| (|p| |q| $)
+ (PROG (#0=#:G1555 |p1|)
+ (RETURN
+ (SEQ (LETT |p1|
+ (PROG2 (LETT #0#
+ (SPADCALL |p|
+ (SPADCALL |p| |q|
+ (QREFELT $ 125))
+ (QREFELT $ 126))
+ |UPOLYC-;primeFactor|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 6) #0#))
+ |UPOLYC-;primeFactor|)
+ (EXIT (COND
+ ((SPADCALL |p1| |p| (QREFELT $ 127)) |p|)
+ ('T (|UPOLYC-;primeFactor| |p1| |q| $))))))))
+
+(DEFUN |UPOLYC-;separate;2SR;32| (|p| |q| $)
+ (PROG (|a| #0=#:G1561)
+ (RETURN
+ (SEQ (LETT |a| (|UPOLYC-;primeFactor| |p| |q| $)
+ |UPOLYC-;separate;2SR;32|)
+ (EXIT (CONS |a|
+ (PROG2 (LETT #0#
+ (SPADCALL |p| |a| (QREFELT $ 126))
+ |UPOLYC-;separate;2SR;32|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 6)
+ #0#))))))))
+
+(DEFUN |UPOLYC-;differentiate;SM2S;33| (|x| |deriv| |x'| $)
+ (PROG (|dg| |lc| #0=#:G1566 |d|)
+ (RETURN
+ (SEQ (LETT |d| (|spadConstant| $ 60)
+ |UPOLYC-;differentiate;SM2S;33|)
+ (SEQ G190
+ (COND
+ ((NULL (< 0
+ (LETT |dg| (SPADCALL |x| (QREFELT $ 11))
+ |UPOLYC-;differentiate;SM2S;33|)))
(GO G191)))
- (SEQ
- (EXIT
- (LETT |ans|
- (SPADCALL
- (SPADCALL |ans|
- (SPADCALL |f|
- (PROG1
- (LETT #1#
- (|-| |n|
- (LETT |n|
- (SPADCALL |p| (QREFELT |$| 11))
- |UPOLYC-;elt;S2F;44|))
- |UPOLYC-;elt;S2F;44|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- (QREFELT |$| 163))
- (QREFELT |$| 164))
- (SPADCALL
- (SPADCALL
- (SPADCALL |p| (QREFELT |$| 53))
- (QREFELT |$| 30))
- (QREFELT |$| 162))
- (QREFELT |$| 165))
- |UPOLYC-;elt;S2F;44|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT
- (COND
- ((ZEROP |n|) |ans|)
- ((QUOTE T)
- (SPADCALL |ans|
- (SPADCALL |f| |n| (QREFELT |$| 166))
- (QREFELT |$| 164))))))))))))
-
-(DEFUN |UPOLYC-;order;2SNni;45| (|p| |q| |$|)
- (PROG (|u| #1=#:G103497 |ans|)
- (RETURN
- (SEQ
- (EXIT
- (COND
- ((SPADCALL |p| (QREFELT |$| 9))
- (|error| "order: arguments must be nonzero"))
- ((|<| (SPADCALL |q| (QREFELT |$| 11)) 1)
- (|error| "order: place must be non-trivial"))
- ((QUOTE T)
- (SEQ
- (LETT |ans| 0 |UPOLYC-;order;2SNni;45|)
- (EXIT
- (SEQ G190
- NIL
- (SEQ
- (LETT |u|
- (SPADCALL |p| |q| (QREFELT |$| 126))
- |UPOLYC-;order;2SNni;45|)
- (EXIT
- (COND
- ((QEQCAR |u| 1)
- (PROGN
- (LETT #1# |ans| |UPOLYC-;order;2SNni;45|)
- (GO #1#)))
- ((QUOTE T)
- (SEQ
- (LETT |p| (QCDR |u|) |UPOLYC-;order;2SNni;45|)
- (EXIT
- (LETT
- |ans|
- (|+| |ans| 1)
- |UPOLYC-;order;2SNni;45|)))))))
- NIL
- (GO G190)
- G191
- (EXIT NIL)))))))
- #1#
- (EXIT #1#)))))
-
-(DEFUN |UPOLYC-;squareFree;SF;46| (|p| |$|)
- (SPADCALL |p| (QREFELT |$| 170)))
-
-(DEFUN |UPOLYC-;squareFreePart;2S;47| (|p| |$|)
- (SPADCALL |p| (QREFELT |$| 172)))
-
-(DEFUN |UPOLYC-;gcdPolynomial;3Sup;48| (|pp| |qq| |$|)
- (COND
- ((SPADCALL |pp| (QREFELT |$| 174)) (SPADCALL |qq| (QREFELT |$| 175)))
- ((SPADCALL |qq| (QREFELT |$| 174)) (SPADCALL |pp| (QREFELT |$| 175)))
- ((QUOTE T)
- (SPADCALL
- (SPADCALL
- (SPADCALL
- (SPADCALL |pp| (QREFELT |$| 176))
- (SPADCALL |qq| (QREFELT |$| 176)) (QREFELT |$| 125))
- (SPADCALL
- (SPADCALL
- (SPADCALL |pp| (QREFELT |$| 177))
- (SPADCALL |qq| (QREFELT |$| 177)) (QREFELT |$| 178))
- (QREFELT |$| 177))
- (QREFELT |$| 179))
- (QREFELT |$| 175)))))
-
-(DEFUN |UPOLYC-;squareFreePolynomial;SupF;49| (|pp| |$|)
- (SPADCALL |pp| (QREFELT |$| 182)))
-
-(DEFUN |UPOLYC-;elt;F2R;50| (|f| |r| |$|)
- (SPADCALL
- (SPADCALL
- (SPADCALL |f| (QREFELT |$| 141))
- |r|
- (QREFELT |$| 29))
- (SPADCALL (SPADCALL |f| (QREFELT |$| 144)) |r| (QREFELT |$| 29))
- (QREFELT |$| 184)))
-
-(DEFUN |UPOLYC-;euclideanSize;SNni;51| (|x| |$|)
- (COND
- ((SPADCALL |x| (QREFELT |$| 9))
- (|error| "euclideanSize called on 0 in Univariate Polynomial"))
- ((QUOTE T) (SPADCALL |x| (QREFELT |$| 11)))))
-
-(DEFUN |UPOLYC-;divide;2SR;52| (|x| |y| |$|)
- (PROG (|lc| |f| #1=#:G103510 |n| |quot|)
- (RETURN
- (SEQ
- (COND
- ((SPADCALL |y| (QREFELT |$| 9))
- (|error| "division by 0 in Univariate Polynomials"))
- ((QUOTE T)
- (SEQ
- (LETT |quot| (|spadConstant| |$| 60) |UPOLYC-;divide;2SR;52|)
- (LETT |lc|
- (SPADCALL (SPADCALL |y| (QREFELT |$| 53)) (QREFELT |$| 187))
- |UPOLYC-;divide;2SR;52|)
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((OR
- (SPADCALL |x| (QREFELT |$| 9))
- (|<|
- (SPADCALL |x| (QREFELT |$| 11))
- (SPADCALL |y| (QREFELT |$| 11))))
- (QUOTE NIL)) ((QUOTE T) (QUOTE T))))
- (GO G191)))
- (SEQ
- (LETT |f|
- (SPADCALL |lc|
- (SPADCALL |x| (QREFELT |$| 53))
- (QREFELT |$| 188))
- |UPOLYC-;divide;2SR;52|)
- (LETT |n|
- (PROG1
- (LETT #1#
- (|-|
- (SPADCALL |x| (QREFELT |$| 11))
- (SPADCALL |y| (QREFELT |$| 11)))
+ (SEQ (LETT |lc| (SPADCALL |x| (QREFELT $ 53))
+ |UPOLYC-;differentiate;SM2S;33|)
+ (LETT |d|
+ (SPADCALL
+ (SPADCALL |d|
+ (SPADCALL |x'|
+ (SPADCALL
+ (SPADCALL |dg| |lc|
+ (QREFELT $ 131))
+ (PROG1
+ (LETT #0# (- |dg| 1)
+ |UPOLYC-;differentiate;SM2S;33|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ (QREFELT $ 49))
+ (QREFELT $ 71))
+ (QREFELT $ 65))
+ (SPADCALL (SPADCALL |lc| |deriv|) |dg|
+ (QREFELT $ 49))
+ (QREFELT $ 65))
+ |UPOLYC-;differentiate;SM2S;33|)
+ (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55))
+ |UPOLYC-;differentiate;SM2S;33|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |d|
+ (SPADCALL
+ (SPADCALL (SPADCALL |x| (QREFELT $ 53))
+ |deriv|)
+ (QREFELT $ 30))
+ (QREFELT $ 65)))))))
+
+(DEFUN |UPOLYC-;ncdiff| (|n| |x'| $)
+ (PROG (#0=#:G1584 |n1|)
+ (RETURN
+ (COND
+ ((ZEROP |n|) (|spadConstant| $ 60))
+ ((ZEROP (LETT |n1|
+ (PROG1 (LETT #0# (- |n| 1) |UPOLYC-;ncdiff|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ |UPOLYC-;ncdiff|))
+ |x'|)
+ ('T
+ (SPADCALL
+ (SPADCALL |x'|
+ (SPADCALL (|spadConstant| $ 48) |n1| (QREFELT $ 49))
+ (QREFELT $ 71))
+ (SPADCALL
+ (SPADCALL (|spadConstant| $ 48) 1 (QREFELT $ 49))
+ (|UPOLYC-;ncdiff| |n1| |x'| $) (QREFELT $ 71))
+ (QREFELT $ 65)))))))
+
+(DEFUN |UPOLYC-;differentiate;SM2S;35| (|x| |deriv| |x'| $)
+ (PROG (|dg| |lc| |d|)
+ (RETURN
+ (SEQ (LETT |d| (|spadConstant| $ 60)
+ |UPOLYC-;differentiate;SM2S;35|)
+ (SEQ G190
+ (COND
+ ((NULL (< 0
+ (LETT |dg| (SPADCALL |x| (QREFELT $ 11))
+ |UPOLYC-;differentiate;SM2S;35|)))
+ (GO G191)))
+ (SEQ (LETT |lc| (SPADCALL |x| (QREFELT $ 53))
+ |UPOLYC-;differentiate;SM2S;35|)
+ (LETT |d|
+ (SPADCALL
+ (SPADCALL |d|
+ (SPADCALL (SPADCALL |lc| |deriv|)
+ |dg| (QREFELT $ 49))
+ (QREFELT $ 65))
+ (SPADCALL |lc|
+ (|UPOLYC-;ncdiff| |dg| |x'| $)
+ (QREFELT $ 134))
+ (QREFELT $ 65))
+ |UPOLYC-;differentiate;SM2S;35|)
+ (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55))
+ |UPOLYC-;differentiate;SM2S;35|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |d|
+ (SPADCALL
+ (SPADCALL (SPADCALL |x| (QREFELT $ 53))
+ |deriv|)
+ (QREFELT $ 30))
+ (QREFELT $ 65)))))))
+
+(DEFUN |UPOLYC-;differentiate;SMS;36| (|x| |deriv| $)
+ (SPADCALL |x| |deriv| (|spadConstant| $ 47) (QREFELT $ 135)))
+
+(DEFUN |UPOLYC-;differentiate;2S;37| (|x| $)
+ (PROG (|dg| #0=#:G1593 |d|)
+ (RETURN
+ (SEQ (LETT |d| (|spadConstant| $ 60)
+ |UPOLYC-;differentiate;2S;37|)
+ (SEQ G190
+ (COND
+ ((NULL (< 0
+ (LETT |dg| (SPADCALL |x| (QREFELT $ 11))
+ |UPOLYC-;differentiate;2S;37|)))
+ (GO G191)))
+ (SEQ (LETT |d|
+ (SPADCALL |d|
+ (SPADCALL
+ (SPADCALL |dg|
+ (SPADCALL |x| (QREFELT $ 53))
+ (QREFELT $ 131))
+ (PROG1
+ (LETT #0# (- |dg| 1)
+ |UPOLYC-;differentiate;2S;37|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ (QREFELT $ 49))
+ (QREFELT $ 65))
+ |UPOLYC-;differentiate;2S;37|)
+ (EXIT (LETT |x| (SPADCALL |x| (QREFELT $ 55))
+ |UPOLYC-;differentiate;2S;37|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |d|)))))
+
+(DEFUN |UPOLYC-;differentiate;SSaosS;38| (|x| |v| $)
+ (SPADCALL |x| (QREFELT $ 138)))
+
+(DEFUN |UPOLYC-;elt;3F;39| (|g| |f| $)
+ (SPADCALL
+ (SPADCALL (SPADCALL |g| (QREFELT $ 141)) |f| (QREFELT $ 143))
+ (SPADCALL (SPADCALL |g| (QREFELT $ 144)) |f| (QREFELT $ 143))
+ (QREFELT $ 145)))
+
+(DEFUN |UPOLYC-;pseudoQuotient;3S;40| (|p| |q| $)
+ (PROG (|n| #0=#:G1639 #1=#:G1641)
+ (RETURN
+ (SEQ (LETT |n|
+ (+ (- (SPADCALL |p| (QREFELT $ 11))
+ (SPADCALL |q| (QREFELT $ 11)))
+ 1)
+ |UPOLYC-;pseudoQuotient;3S;40|)
+ (EXIT (COND
+ ((< |n| 1) (|spadConstant| $ 60))
+ ('T
+ (PROG2 (LETT #1#
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |q| (QREFELT $ 53))
+ (PROG1
+ (LETT #0# |n|
+ |UPOLYC-;pseudoQuotient;3S;40|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ (QREFELT $ 147))
+ |p| (QREFELT $ 134))
+ (SPADCALL |p| |q|
+ (QREFELT $ 148))
+ (QREFELT $ 149))
+ |q| (QREFELT $ 126))
+ |UPOLYC-;pseudoQuotient;3S;40|)
+ (QCDR #1#)
+ (|check-union| (QEQCAR #1# 0) (QREFELT $ 6) #1#)))))))))
+
+(DEFUN |UPOLYC-;pseudoDivide;2SR;41| (|p| |q| $)
+ (PROG (|n| |prem| #0=#:G1647 |lc| #1=#:G1649)
+ (RETURN
+ (SEQ (LETT |n|
+ (+ (- (SPADCALL |p| (QREFELT $ 11))
+ (SPADCALL |q| (QREFELT $ 11)))
+ 1)
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ (EXIT (COND
+ ((< |n| 1)
+ (VECTOR (|spadConstant| $ 48) (|spadConstant| $ 60)
+ |p|))
+ ('T
+ (SEQ (LETT |prem|
+ (SPADCALL |p| |q| (QREFELT $ 148))
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ (LETT |lc|
+ (SPADCALL (SPADCALL |q| (QREFELT $ 53))
+ (PROG1
+ (LETT #0# |n|
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ (QREFELT $ 147))
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ (EXIT (VECTOR |lc|
+ (PROG2
+ (LETT #1#
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |lc| |p|
+ (QREFELT $ 134))
+ |prem| (QREFELT $ 149))
+ |q| (QREFELT $ 126))
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ (QCDR #1#)
+ (|check-union| (QEQCAR #1# 0)
+ (QREFELT $ 6) #1#))
+ |prem|))))))))))
+
+(DEFUN |UPOLYC-;composite;FSU;42| (|f| |q| $)
+ (PROG (|n| |d|)
+ (RETURN
+ (SEQ (LETT |n|
+ (SPADCALL (SPADCALL |f| (QREFELT $ 141)) |q|
+ (QREFELT $ 153))
+ |UPOLYC-;composite;FSU;42|)
+ (EXIT (COND
+ ((QEQCAR |n| 1) (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |d|
+ (SPADCALL (SPADCALL |f| (QREFELT $ 144))
+ |q| (QREFELT $ 153))
+ |UPOLYC-;composite;FSU;42|)
+ (EXIT (COND
+ ((QEQCAR |d| 1) (CONS 1 "failed"))
+ ('T
+ (CONS 0
+ (SPADCALL (QCDR |n|) (QCDR |d|)
+ (QREFELT $ 154))))))))))))))
+
+(DEFUN |UPOLYC-;composite;2SU;43| (|p| |q| $)
+ (PROG (|cqr| |v| |u| |w| #0=#:G1675)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |p| (QREFELT $ 157)) (CONS 0 |p|))
+ ('T
+ (SEQ (EXIT (SEQ (LETT |cqr|
+ (SPADCALL |p| |q| (QREFELT $ 158))
+ |UPOLYC-;composite;2SU;43|)
+ (COND
+ ((SPADCALL (QVELT |cqr| 2)
+ (QREFELT $ 157))
+ (SEQ (LETT |v|
+ (SPADCALL (QVELT |cqr| 2)
+ (QVELT |cqr| 0)
+ (QREFELT $ 159))
+ |UPOLYC-;composite;2SU;43|)
+ (EXIT
+ (COND
+ ((QEQCAR |v| 0)
+ (SEQ
+ (LETT |u|
+ (SPADCALL (QVELT |cqr| 1)
+ |q| (QREFELT $ 153))
+ |UPOLYC-;composite;2SU;43|)
+ (EXIT
+ (COND
+ ((QEQCAR |u| 0)
+ (SEQ
+ (LETT |w|
+ (SPADCALL (QCDR |u|)
+ (QVELT |cqr| 0)
+ (QREFELT $ 159))
+ |UPOLYC-;composite;2SU;43|)
+ (EXIT
+ (COND
+ ((QEQCAR |w| 0)
+ (PROGN
+ (LETT #0#
+ (CONS 0
+ (SPADCALL
+ (QCDR |v|)
+ (SPADCALL
+ (SPADCALL
+ (|spadConstant|
+ $ 48)
+ 1
+ (QREFELT $
+ 49))
+ (QCDR |w|)
+ (QREFELT $
+ 71))
+ (QREFELT $ 65)))
+ |UPOLYC-;composite;2SU;43|)
+ (GO #0#))))))))))))))))
+ (EXIT (CONS 1 "failed"))))
+ #0# (EXIT #0#))))))))
+
+(DEFUN |UPOLYC-;elt;S2F;44| (|p| |f| $)
+ (PROG (|n| #0=#:G1681 |ans|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |p| (QREFELT $ 9)) (|spadConstant| $ 161))
+ ('T
+ (SEQ (LETT |ans|
+ (SPADCALL
+ (SPADCALL (SPADCALL |p| (QREFELT $ 53))
+ (QREFELT $ 30))
+ (QREFELT $ 162))
+ |UPOLYC-;elt;S2F;44|)
+ (LETT |n| (SPADCALL |p| (QREFELT $ 11))
+ |UPOLYC-;elt;S2F;44|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL
+ (LETT |p|
+ (SPADCALL |p| (QREFELT $ 55))
+ |UPOLYC-;elt;S2F;44|)
+ (QREFELT $ 9))
+ (QREFELT $ 163)))
+ (GO G191)))
+ (SEQ (EXIT (LETT |ans|
+ (SPADCALL
+ (SPADCALL |ans|
+ (SPADCALL |f|
+ (PROG1
+ (LETT #0#
+ (- |n|
+ (LETT |n|
+ (SPADCALL |p|
+ (QREFELT $ 11))
+ |UPOLYC-;elt;S2F;44|))
+ |UPOLYC-;elt;S2F;44|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ (QREFELT $ 164))
+ (QREFELT $ 165))
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |p| (QREFELT $ 53))
+ (QREFELT $ 30))
+ (QREFELT $ 162))
+ (QREFELT $ 166))
+ |UPOLYC-;elt;S2F;44|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (COND
+ ((ZEROP |n|) |ans|)
+ ('T
+ (SPADCALL |ans|
+ (SPADCALL |f| |n| (QREFELT $ 167))
+ (QREFELT $ 165))))))))))))
+
+(DEFUN |UPOLYC-;order;2SNni;45| (|p| |q| $)
+ (PROG (|u| #0=#:G1695 |ans|)
+ (RETURN
+ (SEQ (EXIT (COND
+ ((SPADCALL |p| (QREFELT $ 9))
+ (|error| "order: arguments must be nonzero"))
+ ((< (SPADCALL |q| (QREFELT $ 11)) 1)
+ (|error| "order: place must be non-trivial"))
+ ('T
+ (SEQ (LETT |ans| 0 |UPOLYC-;order;2SNni;45|)
+ (EXIT (SEQ G190 NIL
+ (SEQ
+ (LETT |u|
+ (SPADCALL |p| |q|
+ (QREFELT $ 126))
+ |UPOLYC-;order;2SNni;45|)
+ (EXIT
+ (COND
+ ((QEQCAR |u| 1)
+ (PROGN
+ (LETT #0# |ans|
+ |UPOLYC-;order;2SNni;45|)
+ (GO #0#)))
+ ('T
+ (SEQ
+ (LETT |p| (QCDR |u|)
+ |UPOLYC-;order;2SNni;45|)
+ (EXIT
+ (LETT |ans| (+ |ans| 1)
+ |UPOLYC-;order;2SNni;45|)))))))
+ NIL (GO G190) G191 (EXIT NIL)))))))
+ #0# (EXIT #0#)))))
+
+(DEFUN |UPOLYC-;squareFree;SF;46| (|p| $)
+ (SPADCALL |p| (QREFELT $ 171)))
+
+(DEFUN |UPOLYC-;squareFreePart;2S;47| (|p| $)
+ (SPADCALL |p| (QREFELT $ 173)))
+
+(DEFUN |UPOLYC-;gcdPolynomial;3Sup;48| (|pp| |qq| $)
+ (COND
+ ((SPADCALL |pp| (QREFELT $ 175)) (SPADCALL |qq| (QREFELT $ 176)))
+ ((SPADCALL |qq| (QREFELT $ 175)) (SPADCALL |pp| (QREFELT $ 176)))
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL (SPADCALL |pp| (QREFELT $ 177))
+ (SPADCALL |qq| (QREFELT $ 177)) (QREFELT $ 125))
+ (SPADCALL
+ (SPADCALL (SPADCALL |pp| (QREFELT $ 178))
+ (SPADCALL |qq| (QREFELT $ 178)) (QREFELT $ 179))
+ (QREFELT $ 178))
+ (QREFELT $ 180))
+ (QREFELT $ 176)))))
+
+(DEFUN |UPOLYC-;squareFreePolynomial;SupF;49| (|pp| $)
+ (SPADCALL |pp| (QREFELT $ 183)))
+
+(DEFUN |UPOLYC-;elt;F2R;50| (|f| |r| $)
+ (SPADCALL (SPADCALL (SPADCALL |f| (QREFELT $ 141)) |r|
+ (QREFELT $ 29))
+ (SPADCALL (SPADCALL |f| (QREFELT $ 144)) |r|
+ (QREFELT $ 29))
+ (QREFELT $ 185)))
+
+(DEFUN |UPOLYC-;euclideanSize;SNni;51| (|x| $)
+ (COND
+ ((SPADCALL |x| (QREFELT $ 9))
+ (|error| "euclideanSize called on 0 in Univariate Polynomial"))
+ ('T (SPADCALL |x| (QREFELT $ 11)))))
+
+(DEFUN |UPOLYC-;divide;2SR;52| (|x| |y| $)
+ (PROG (|lc| |f| #0=#:G1707 |n| |quot|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |y| (QREFELT $ 9))
+ (|error| "division by 0 in Univariate Polynomials"))
+ ('T
+ (SEQ (LETT |quot| (|spadConstant| $ 60)
+ |UPOLYC-;divide;2SR;52|)
+ (LETT |lc|
+ (SPADCALL (SPADCALL |y| (QREFELT $ 53))
+ (QREFELT $ 188))
|UPOLYC-;divide;2SR;52|)
- (|check-subtype|
- (|>=| #1# 0)
- (QUOTE (|NonNegativeInteger|))
- #1#))
- |UPOLYC-;divide;2SR;52|)
- (LETT |quot|
- (SPADCALL |quot|
- (SPADCALL |f| |n| (QREFELT |$| 49))
- (QREFELT |$| 65))
- |UPOLYC-;divide;2SR;52|)
- (EXIT
- (LETT |x|
- (SPADCALL |x|
- (SPADCALL
- (SPADCALL |f| |n| (QREFELT |$| 49))
- |y|
- (QREFELT |$| 71))
- (QREFELT |$| 149))
- |UPOLYC-;divide;2SR;52|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT (CONS |quot| |x|)))))))))
-
-(DEFUN |UPOLYC-;integrate;2S;53| (|p| |$|)
- (PROG (|l| |d| |ans|)
- (RETURN
- (SEQ
- (LETT |ans| (|spadConstant| |$| 60) |UPOLYC-;integrate;2S;53|)
- (SEQ G190
- (COND
- ((NULL
- (COND
- ((SPADCALL |p| (|spadConstant| |$| 60) (QREFELT |$| 127))
- (QUOTE NIL))
- ((QUOTE T) (QUOTE T)))) (GO G191)))
- (SEQ
- (LETT |l|
- (SPADCALL |p| (QREFELT |$| 53))
- |UPOLYC-;integrate;2S;53|)
- (LETT |d|
- (|+| 1 (SPADCALL |p| (QREFELT |$| 11)))
- |UPOLYC-;integrate;2S;53|)
- (LETT |ans|
- (SPADCALL |ans|
- (SPADCALL
- (SPADCALL (SPADCALL |d| (QREFELT |$| 191)) (QREFELT |$| 192))
- (SPADCALL |l| |d| (QREFELT |$| 49)) (QREFELT |$| 193))
- (QREFELT |$| 65))
- |UPOLYC-;integrate;2S;53|)
- (EXIT
- (LETT |p|
- (SPADCALL |p| (QREFELT |$| 55))
- |UPOLYC-;integrate;2S;53|)))
- NIL
- (GO G190)
- G191
- (EXIT NIL))
- (EXIT |ans|)))))
-
-(DEFUN |UnivariatePolynomialCategory&| (|#1| |#2|)
- (PROG (|DV$1| |DV$2| |dv$| |$| |pv$|)
- (RETURN
- (PROGN
- (LETT |DV$1| (|devaluate| |#1|) . #1=(|UnivariatePolynomialCategory&|))
- (LETT |DV$2| (|devaluate| |#2|) . #1#)
- (LETT |dv$|
- (LIST (QUOTE |UnivariatePolynomialCategory&|) |DV$1| |DV$2|) . #1#)
- (LETT |$| (GETREFV 201) . #1#)
- (QSETREFV |$| 0 |dv$|)
- (QSETREFV |$| 3
- (LETT |pv$|
- (|buildPredVector| 0 0
- (LIST
- (|HasCategory| |#2|
- (QUOTE (|Algebra| (|Fraction| (|Integer|)))))
- (|HasCategory| |#2| (QUOTE (|Field|)))
- (|HasCategory| |#2| (QUOTE (|GcdDomain|)))
- (|HasCategory| |#2| (QUOTE (|IntegralDomain|)))
- (|HasCategory| |#2| (QUOTE (|CommutativeRing|)))
- (|HasCategory| |#2| (QUOTE (|StepThrough|))))) . #1#))
- (|stuffDomainSlots| |$|)
- (QSETREFV |$| 6 |#1|)
- (QSETREFV |$| 7 |#2|)
- (COND
- ((|HasCategory| |#2| (QUOTE (|PolynomialFactorizationExplicit|)))
- (PROGN
- (QSETREFV |$| 81
- (CONS
- (|dispatchFunction|
- |UPOLYC-;solveLinearPolynomialEquation;LSupU;20|)
- |$|))
- (QSETREFV |$| 85
- (CONS
- (|dispatchFunction| |UPOLYC-;factorPolynomial;SupF;21|)
- |$|))
- (QSETREFV |$| 87
- (CONS
- (|dispatchFunction|
- |UPOLYC-;factorSquareFreePolynomial;SupF;22|)
- |$|))
- (QSETREFV |$| 105
- (CONS (|dispatchFunction| |UPOLYC-;factor;SF;23|) |$|)))))
- (COND
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((SPADCALL |x| (QREFELT $ 9)) 'NIL)
+ ('T
+ (SPADCALL
+ (< (SPADCALL |x| (QREFELT $ 11))
+ (SPADCALL |y| (QREFELT $ 11)))
+ (QREFELT $ 163)))))
+ (GO G191)))
+ (SEQ (LETT |f|
+ (SPADCALL |lc|
+ (SPADCALL |x| (QREFELT $ 53))
+ (QREFELT $ 189))
+ |UPOLYC-;divide;2SR;52|)
+ (LETT |n|
+ (PROG1
+ (LETT #0#
+ (- (SPADCALL |x| (QREFELT $ 11))
+ (SPADCALL |y| (QREFELT $ 11)))
+ |UPOLYC-;divide;2SR;52|)
+ (|check-subtype| (>= #0# 0)
+ '(|NonNegativeInteger|) #0#))
+ |UPOLYC-;divide;2SR;52|)
+ (LETT |quot|
+ (SPADCALL |quot|
+ (SPADCALL |f| |n| (QREFELT $ 49))
+ (QREFELT $ 65))
+ |UPOLYC-;divide;2SR;52|)
+ (EXIT (LETT |x|
+ (SPADCALL |x|
+ (SPADCALL
+ (SPADCALL |f| |n| (QREFELT $ 49))
+ |y| (QREFELT $ 71))
+ (QREFELT $ 149))
+ |UPOLYC-;divide;2SR;52|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (CONS |quot| |x|)))))))))
+
+(DEFUN |UPOLYC-;integrate;2S;53| (|p| $)
+ (PROG (|l| |d| |ans|)
+ (RETURN
+ (SEQ (LETT |ans| (|spadConstant| $ 60) |UPOLYC-;integrate;2S;53|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (SPADCALL |p| (|spadConstant| $ 60)
+ (QREFELT $ 127))
+ (QREFELT $ 163)))
+ (GO G191)))
+ (SEQ (LETT |l| (SPADCALL |p| (QREFELT $ 53))
+ |UPOLYC-;integrate;2S;53|)
+ (LETT |d| (+ 1 (SPADCALL |p| (QREFELT $ 11)))
+ |UPOLYC-;integrate;2S;53|)
+ (LETT |ans|
+ (SPADCALL |ans|
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |d| (QREFELT $ 192))
+ (QREFELT $ 193))
+ (SPADCALL |l| |d| (QREFELT $ 49))
+ (QREFELT $ 194))
+ (QREFELT $ 65))
+ |UPOLYC-;integrate;2S;53|)
+ (EXIT (LETT |p| (SPADCALL |p| (QREFELT $ 55))
+ |UPOLYC-;integrate;2S;53|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |ans|)))))
+
+(DEFUN |UnivariatePolynomialCategory&| (|#1| |#2|)
+ (PROG (|dv$1| |dv$2| |dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$1| (|devaluate| |#1|)
+ . #0=(|UnivariatePolynomialCategory&|))
+ (LETT |dv$2| (|devaluate| |#2|) . #0#)
+ (LETT |dv$|
+ (LIST '|UnivariatePolynomialCategory&| |dv$1| |dv$2|) . #0#)
+ (LETT $ (GETREFV 202) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3
+ (LETT |pv$|
+ (|buildPredVector| 0 0
+ (LIST (|HasCategory| |#2|
+ '(|Algebra| (|Fraction| (|Integer|))))
+ (|HasCategory| |#2| '(|Field|))
+ (|HasCategory| |#2| '(|GcdDomain|))
+ (|HasCategory| |#2| '(|IntegralDomain|))
+ (|HasCategory| |#2| '(|CommutativeRing|))
+ (|HasCategory| |#2| '(|StepThrough|)))) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ (QSETREFV $ 7 |#2|)
+ (COND
+ ((|HasCategory| |#2| '(|PolynomialFactorizationExplicit|))
+ (PROGN
+ (QSETREFV $ 81
+ (CONS (|dispatchFunction|
+ |UPOLYC-;solveLinearPolynomialEquation;LSupU;20|)
+ $))
+ (QSETREFV $ 85
+ (CONS (|dispatchFunction|
+ |UPOLYC-;factorPolynomial;SupF;21|)
+ $))
+ (QSETREFV $ 87
+ (CONS (|dispatchFunction|
+ |UPOLYC-;factorSquareFreePolynomial;SupF;22|)
+ $))
+ (QSETREFV $ 105
+ (CONS (|dispatchFunction| |UPOLYC-;factor;SF;23|) $)))))
+ (COND
((|testBitVector| |pv$| 6)
- (PROGN
- (QSETREFV |$| 118
- (CONS (|dispatchFunction| |UPOLYC-;init;S;27|) |$|))
- NIL
- (QSETREFV |$| 122
- (CONS (|dispatchFunction| |UPOLYC-;nextItem;SU;29|) |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 118
+ (CONS (|dispatchFunction| |UPOLYC-;init;S;27|) $))
+ NIL
+ (QSETREFV $ 122
+ (CONS (|dispatchFunction| |UPOLYC-;nextItem;SU;29|) $)))))
+ (COND
((|testBitVector| |pv$| 3)
- (PROGN
- (QSETREFV |$| 124
- (CONS (|dispatchFunction| |UPOLYC-;content;SSaosS;30|) |$|))
- NIL
- (QSETREFV |$| 129
- (CONS (|dispatchFunction| |UPOLYC-;separate;2SR;32|) |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 124
+ (CONS (|dispatchFunction| |UPOLYC-;content;SSaosS;30|)
+ $))
+ NIL
+ (QSETREFV $ 129
+ (CONS (|dispatchFunction| |UPOLYC-;separate;2SR;32|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 5)
- (QSETREFV |$| 133
- (CONS
- (|dispatchFunction| |UPOLYC-;differentiate;SM2S;33|)
- |$|)))
- ((QUOTE T)
- (PROGN
- (QSETREFV |$| 133
- (CONS
- (|dispatchFunction| |UPOLYC-;differentiate;SM2S;35|)
- |$|)))))
- (COND
+ (QSETREFV $ 133
+ (CONS (|dispatchFunction|
+ |UPOLYC-;differentiate;SM2S;33|)
+ $)))
+ ('T
+ (PROGN
+ (QSETREFV $ 133
+ (CONS (|dispatchFunction|
+ |UPOLYC-;differentiate;SM2S;35|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 4)
- (PROGN
- (QSETREFV |$| 146
- (CONS (|dispatchFunction| |UPOLYC-;elt;3F;39|) |$|))
- (QSETREFV |$| 150
- (CONS (|dispatchFunction| |UPOLYC-;pseudoQuotient;3S;40|) |$|))
- (QSETREFV |$| 152
- (CONS (|dispatchFunction| |UPOLYC-;pseudoDivide;2SR;41|) |$|))
- (QSETREFV |$| 156
- (CONS (|dispatchFunction| |UPOLYC-;composite;FSU;42|) |$|))
- (QSETREFV |$| 160
- (CONS (|dispatchFunction| |UPOLYC-;composite;2SU;43|) |$|))
- (QSETREFV |$| 167
- (CONS (|dispatchFunction| |UPOLYC-;elt;S2F;44|) |$|))
- (QSETREFV |$| 168
- (CONS (|dispatchFunction| |UPOLYC-;order;2SNni;45|) |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 146
+ (CONS (|dispatchFunction| |UPOLYC-;elt;3F;39|) $))
+ (QSETREFV $ 150
+ (CONS (|dispatchFunction|
+ |UPOLYC-;pseudoQuotient;3S;40|)
+ $))
+ (QSETREFV $ 152
+ (CONS (|dispatchFunction|
+ |UPOLYC-;pseudoDivide;2SR;41|)
+ $))
+ (QSETREFV $ 156
+ (CONS (|dispatchFunction| |UPOLYC-;composite;FSU;42|)
+ $))
+ (QSETREFV $ 160
+ (CONS (|dispatchFunction| |UPOLYC-;composite;2SU;43|)
+ $))
+ (QSETREFV $ 168
+ (CONS (|dispatchFunction| |UPOLYC-;elt;S2F;44|) $))
+ (QSETREFV $ 169
+ (CONS (|dispatchFunction| |UPOLYC-;order;2SNni;45|) $)))))
+ (COND
((|testBitVector| |pv$| 3)
- (PROGN
- (QSETREFV |$| 171
- (CONS (|dispatchFunction| |UPOLYC-;squareFree;SF;46|) |$|))
- (QSETREFV |$| 173
- (CONS
- (|dispatchFunction| |UPOLYC-;squareFreePart;2S;47|)
- |$|)))))
- (COND
- ((|HasCategory| |#2| (QUOTE (|PolynomialFactorizationExplicit|)))
- (PROGN
- (QSETREFV |$| 180
- (CONS
- (|dispatchFunction| |UPOLYC-;gcdPolynomial;3Sup;48|)
- |$|))
- (QSETREFV |$| 183
- (CONS
- (|dispatchFunction| |UPOLYC-;squareFreePolynomial;SupF;49|)
- |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 172
+ (CONS (|dispatchFunction| |UPOLYC-;squareFree;SF;46|)
+ $))
+ (QSETREFV $ 174
+ (CONS (|dispatchFunction|
+ |UPOLYC-;squareFreePart;2S;47|)
+ $)))))
+ (COND
+ ((|HasCategory| |#2| '(|PolynomialFactorizationExplicit|))
+ (PROGN
+ (QSETREFV $ 181
+ (CONS (|dispatchFunction|
+ |UPOLYC-;gcdPolynomial;3Sup;48|)
+ $))
+ (QSETREFV $ 184
+ (CONS (|dispatchFunction|
+ |UPOLYC-;squareFreePolynomial;SupF;49|)
+ $)))))
+ (COND
((|testBitVector| |pv$| 2)
- (PROGN
- (QSETREFV |$| 185
- (CONS (|dispatchFunction| |UPOLYC-;elt;F2R;50|) |$|))
- (QSETREFV |$| 186
- (CONS
- (|dispatchFunction| |UPOLYC-;euclideanSize;SNni;51|)
- |$|))
- (QSETREFV |$| 189
- (CONS (|dispatchFunction| |UPOLYC-;divide;2SR;52|) |$|)))))
- (COND
+ (PROGN
+ (QSETREFV $ 186
+ (CONS (|dispatchFunction| |UPOLYC-;elt;F2R;50|) $))
+ (QSETREFV $ 187
+ (CONS (|dispatchFunction|
+ |UPOLYC-;euclideanSize;SNni;51|)
+ $))
+ (QSETREFV $ 190
+ (CONS (|dispatchFunction| |UPOLYC-;divide;2SR;52|) $)))))
+ (COND
((|testBitVector| |pv$| 1)
- (QSETREFV |$| 194
- (CONS
- (|dispatchFunction| |UPOLYC-;integrate;2S;53|)
- |$|)))) |$|))))
-
-(MAKEPROP
- (QUOTE |UnivariatePolynomialCategory&|)
- (QUOTE |infovec|)
- (LIST
- (QUOTE
- #(NIL NIL NIL NIL NIL NIL
- (|local| |#1|)
- (|local| |#2|)
- (|Boolean|)
- (0 . |zero?|)
- (|NonNegativeInteger|)
- (5 . |degree|)
- (|SingletonAsOrderedSet|)
- (10 . |create|)
- (|List| 12)
- |UPOLYC-;variables;SL;1|
- |UPOLYC-;degree;SSaosNni;2|
- (14 . |totalDegree|)
- |UPOLYC-;totalDegree;SLNni;3|
- (|List| 10)
- |UPOLYC-;degree;SLL;4|
- (19 . |eval|)
- (|List| |$|)
- |UPOLYC-;eval;SLLS;5|
- (26 . |elt|)
- |UPOLYC-;eval;SSaos2S;6|
- (32 . |eval|)
- (|List| 7)
- |UPOLYC-;eval;SLLS;7|
- (39 . |elt|)
- (45 . |coerce|)
- |UPOLYC-;eval;SSaosRS;8|
- (|Equation| 6)
- (50 . |lhs|)
- (|Union| 12 (QUOTE "failed"))
- (55 . |mainVariable|)
- (60 . |rhs|)
- (|List| 197)
- |UPOLYC-;eval;SLS;9|
- |UPOLYC-;mainVariable;SU;10|
- (65 . |minimumDegree|)
- |UPOLYC-;minimumDegree;SSaosNni;11|
- |UPOLYC-;minimumDegree;SLL;12|
- (70 . |+|)
- (|Mapping| 10 10)
- (76 . |mapExponents|)
- |UPOLYC-;monomial;SSaosNniS;13|
- (82 . |One|)
- (86 . |One|)
- (90 . |monomial|)
- |UPOLYC-;coerce;SaosS;14|
- (|SparseUnivariatePolynomial| 7)
- (96 . |Zero|)
- (100 . |leadingCoefficient|)
- (105 . |monomial|)
- (111 . |reductum|)
- (116 . |makeSUP|)
- (121 . |+|)
- |UPOLYC-;makeSUP;SSup;15|
- (127 . |zero?|)
- (132 . |Zero|)
- (136 . |leadingCoefficient|)
- (141 . |degree|)
- (146 . |reductum|)
- (151 . |unmakeSUP|)
- (156 . |+|)
- |UPOLYC-;unmakeSUP;SupS;16|
- (|Record| (|:| |quotient| |$|) (|:| |remainder| |$|))
- (162 . |monicDivide|)
- |UPOLYC-;karatsubaDivide;SNniR;17|
- |UPOLYC-;shiftRight;SNniS;18|
- (168 . |*|)
- |UPOLYC-;shiftLeft;SNniS;19|
- (|Union| 74 (QUOTE "failed"))
- (|List| 75)
- (|SparseUnivariatePolynomial| 6)
- (|PolynomialFactorizationByRecursionUnivariate| 7 6)
- (174 . |solveLinearPolynomialEquationByRecursion|)
- (|Union| 79 (QUOTE "failed"))
- (|List| 80)
- (|SparseUnivariatePolynomial| |$|)
- (180 . |solveLinearPolynomialEquation|)
- (|Factored| 75)
- (186 . |factorByRecursion|)
- (|Factored| 80)
- (191 . |factorPolynomial|)
- (196 . |factorSquareFreeByRecursion|)
- (201 . |factorSquareFreePolynomial|)
- (|Factored| |$|)
- (206 . |factor|)
- (|Factored| 7)
- (211 . |unit|)
- (|Union| (QUOTE "nil") (QUOTE "sqfr") (QUOTE "irred") (QUOTE "prime"))
- (|Record| (|:| |flg| 92) (|:| |fctr| 7) (|:| |xpnt| 109))
- (|List| 93)
- (216 . |factorList|)
- (|Record| (|:| |flg| 92) (|:| |fctr| 6) (|:| |xpnt| 109))
- (|List| 96)
- (|Factored| 6)
- (221 . |makeFR|)
- (227 . |factorPolynomial|)
- (|Mapping| 6 51)
- (|Factored| 51)
- (|FactoredFunctions2| 51 6)
- (232 . |map|)
- (238 . |factor|)
- (243 . |Zero|)
- (|Vector| 7)
- (247 . |new|)
- (|Integer|)
- (253 . |minIndex|)
- (258 . |coefficient|)
- (264 . |qsetelt!|)
- |UPOLYC-;vectorise;SNniV;24|
- |UPOLYC-;retract;SR;25|
- (|Union| 7 (QUOTE "failed"))
- |UPOLYC-;retractIfCan;SU;26|
- (271 . |init|)
- (275 . |init|)
- (|Union| |$| (QUOTE "failed"))
- (279 . |nextItem|)
- (284 . |One|)
- (288 . |nextItem|)
- (293 . |content|)
- (298 . |content|)
- (304 . |gcd|)
- (310 . |exquo|)
- (316 . |=|)
- (|Record| (|:| |primePart| |$|) (|:| |commonPart| |$|))
- (322 . |separate|)
- (328 . |Zero|)
- (332 . |*|)
- (|Mapping| 7 7)
- (338 . |differentiate|)
- (345 . |*|)
- (351 . |differentiate|)
- |UPOLYC-;differentiate;SMS;36|
- |UPOLYC-;differentiate;2S;37|
- (358 . |differentiate|)
- |UPOLYC-;differentiate;SSaosS;38|
- (|Fraction| 6)
- (363 . |numer|)
- (|Fraction| |$|)
- (368 . |elt|)
- (374 . |denom|)
- (379 . |/|)
- (385 . |elt|)
- (391 . |**|)
- (397 . |pseudoRemainder|)
- (403 . |-|)
- (409 . |pseudoQuotient|)
- (|Record| (|:| |coef| 7) (|:| |quotient| |$|) (|:| |remainder| |$|))
- (415 . |pseudoDivide|)
- (421 . |composite|)
- (427 . |/|)
- (|Union| 142 (QUOTE "failed"))
- (433 . |composite|)
- (439 . |ground?|)
- (444 . |pseudoDivide|)
- (450 . |exquo|)
- (456 . |composite|)
- (462 . |Zero|)
- (466 . |coerce|)
- (471 . |**|)
- (477 . |*|)
- (483 . |+|)
- (489 . |**|)
- (495 . |elt|)
- (501 . |order|)
- (|UnivariatePolynomialSquareFree| 7 6)
- (507 . |squareFree|)
- (512 . |squareFree|)
- (517 . |squareFreePart|)
- (522 . |squareFreePart|)
- (527 . |zero?|)
- (532 . |unitCanonical|)
- (537 . |content|)
- (542 . |primitivePart|)
- (547 . |subResultantGcd|)
- (553 . |*|)
- (559 . |gcdPolynomial|)
- (|UnivariatePolynomialSquareFree| 6 75)
- (565 . |squareFree|)
- (570 . |squareFreePolynomial|)
- (575 . |/|)
- (581 . |elt|)
- (587 . |euclideanSize|)
- (592 . |inv|)
- (597 . |*|)
- (603 . |divide|)
- (|Fraction| 109)
- (609 . |coerce|)
- (614 . |inv|)
- (619 . |*|)
- (625 . |integrate|)
- (|Symbol|)
- (|List| 195)
- (|Equation| |$|)
- (|Union| 109 (QUOTE "failed"))
- (|Union| 190 (QUOTE "failed"))
- (|OutputForm|)))
- (QUOTE
- #(|vectorise| 630 |variables| 636 |unmakeSUP| 641 |totalDegree| 646
- |squareFreePolynomial| 652 |squareFreePart| 657 |squareFree| 662
- |solveLinearPolynomialEquation| 667 |shiftRight| 673 |shiftLeft| 679
- |separate| 685 |retractIfCan| 691 |retract| 696 |pseudoQuotient| 701
- |pseudoDivide| 707 |order| 713 |nextItem| 719 |monomial| 724
- |minimumDegree| 731 |makeSUP| 743 |mainVariable| 748
- |karatsubaDivide| 753 |integrate| 759 |init| 764 |gcdPolynomial| 768
- |factorSquareFreePolynomial| 774 |factorPolynomial| 779 |factor| 784
- |eval| 789 |euclideanSize| 823 |elt| 828 |divide| 846
- |differentiate| 852 |degree| 876 |content| 888 |composite| 894
- |coerce| 906))
- (QUOTE NIL)
- (CONS
- (|makeByteWordVec2| 1 (QUOTE NIL))
- (CONS
- (QUOTE #())
- (CONS
- (QUOTE #())
- (|makeByteWordVec2| 194
- (QUOTE
- (1 6 8 0 9 1 6 10 0 11 0 12 0 13 1 6 10 0 17 3 6 0 0 12 0 21 2
- 6 0 0 0 24 3 6 0 0 12 7 26 2 6 7 0 7 29 1 6 0 7 30 1 32 6 0 33
- 1 6 34 0 35 1 32 6 0 36 1 6 10 0 40 2 10 0 0 0 43 2 6 0 44 0
- 45 0 6 0 47 0 7 0 48 2 6 0 7 10 49 0 51 0 52 1 6 7 0 53 2 51
- 0 7 10 54 1 6 0 0 55 1 6 51 0 56 2 51 0 0 0 57 1 51 8 0 59 0
- 6 0 60 1 51 7 0 61 1 51 10 0 62 1 51 0 0 63 1 6 0 51 64 2 6 0
- 0 0 65 2 6 67 0 0 68 2 6 0 0 0 71 2 76 73 74 75 77 2 0 78 79
- 80 81 1 76 82 75 83 1 0 84 80 85 1 76 82 75 86 1 0 84 80 87 1
- 7 88 0 89 1 90 7 0 91 1 90 94 0 95 2 98 0 6 97 99 1 7 84 80
- 100 2 103 98 101 102 104 1 0 88 0 105 0 7 0 106 2 107 0 10 7
- 108 1 107 109 0 110 2 6 7 0 10 111 3 107 7 0 109 7 112 0 7 0
- 117 0 0 0 118 1 7 119 0 120 0 75 0 121 1 0 119 0 122 1 6 7 0
- 123 2 0 0 0 12 124 2 6 0 0 0 125 2 6 119 0 0 126 2 6 8 0 0 127
- 2 0 128 0 0 129 0 75 0 130 2 7 0 10 0 131 3 0 0 0 132 0 133 2
- 6 0 7 0 134 3 6 0 0 132 0 135 1 6 0 0 138 1 140 6 0 141 2 6
- 142 0 142 143 1 140 6 0 144 2 140 0 0 0 145 2 0 142 142 142
- 146 2 7 0 0 10 147 2 6 0 0 0 148 2 6 0 0 0 149 2 0 0 0 0 150
- 2 0 151 0 0 152 2 6 119 0 0 153 2 140 0 6 6 154 2 0 155 142 0
- 156 1 6 8 0 157 2 6 151 0 0 158 2 6 119 0 7 159 2 0 119 0 0
- 160 0 140 0 161 1 140 0 6 162 2 140 0 0 109 163 2 140 0 0 0
- 164 2 140 0 0 0 165 2 140 0 0 10 166 2 0 142 0 142 167 2 0 10
- 0 0 168 1 169 98 6 170 1 0 88 0 171 1 169 6 6 172 1 0 0 0 173
- 1 75 8 0 174 1 75 0 0 175 1 75 6 0 176 1 75 0 0 177 2 75 0 0
- 0 178 2 75 0 6 0 179 2 0 80 80 80 180 1 181 82 75 182 1 0 84
- 80 183 2 7 0 0 0 184 2 0 7 142 7 185 1 0 10 0 186 1 7 0 0 187
- 2 7 0 0 0 188 2 0 67 0 0 189 1 190 0 109 191 1 190 0 0 192 2
- 6 0 190 0 193 1 0 0 0 194 2 0 107 0 10 113 1 0 14 0 15 1 0 0
- 51 66 2 0 10 0 14 18 1 0 84 80 183 1 0 0 0 173 1 0 88 0 171 2
- 0 78 79 80 81 2 0 0 0 10 70 2 0 0 0 10 72 2 0 128 0 0 129 1 0
- 115 0 116 1 0 7 0 114 2 0 0 0 0 150 2 0 151 0 0 152 2 0 10 0
- 0 168 1 0 119 0 122 3 0 0 0 12 10 46 2 0 19 0 14 42 2 0 10 0
- 12 41 1 0 51 0 58 1 0 34 0 39 2 0 67 0 10 69 1 0 0 0 194 0 0
- 0 118 2 0 80 80 80 180 1 0 84 80 87 1 0 84 80 85 1 0 88 0 105
- 3 0 0 0 12 0 25 3 0 0 0 14 22 23 3 0 0 0 14 27 28 3 0 0 0 12
- 7 31 2 0 0 0 37 38 1 0 10 0 186 2 0 142 0 142 167 2 0 7 142 7
- 185 2 0 142 142 142 146 2 0 67 0 0 189 3 0 0 0 132 0 133 2 0
- 0 0 132 136 1 0 0 0 137 2 0 0 0 12 139 2 0 10 0 12 16 2 0 19
- 0 14 20 2 0 0 0 12 124 2 0 119 0 0 160 2 0 155 142 0 156 1 0
- 0 12 50))))))
- (QUOTE |lookupComplete|)))
-
+ (QSETREFV $ 195
+ (CONS (|dispatchFunction| |UPOLYC-;integrate;2S;53|) $))))
+ $))))
+
+(MAKEPROP '|UnivariatePolynomialCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
+ (|Boolean|) (0 . |zero?|) (|NonNegativeInteger|)
+ (5 . |degree|) (|SingletonAsOrderedSet|) (10 . |create|)
+ (|List| 12) |UPOLYC-;variables;SL;1|
+ |UPOLYC-;degree;SSaosNni;2| (14 . |totalDegree|)
+ |UPOLYC-;totalDegree;SLNni;3| (|List| 10)
+ |UPOLYC-;degree;SLL;4| (19 . |eval|) (|List| $)
+ |UPOLYC-;eval;SLLS;5| (26 . |elt|)
+ |UPOLYC-;eval;SSaos2S;6| (32 . |eval|) (|List| 7)
+ |UPOLYC-;eval;SLLS;7| (39 . |elt|) (45 . |coerce|)
+ |UPOLYC-;eval;SSaosRS;8| (|Equation| 6) (50 . |lhs|)
+ (|Union| 12 '"failed") (55 . |mainVariable|) (60 . |rhs|)
+ (|List| 198) |UPOLYC-;eval;SLS;9|
+ |UPOLYC-;mainVariable;SU;10| (65 . |minimumDegree|)
+ |UPOLYC-;minimumDegree;SSaosNni;11|
+ |UPOLYC-;minimumDegree;SLL;12| (70 . +) (|Mapping| 10 10)
+ (76 . |mapExponents|) |UPOLYC-;monomial;SSaosNniS;13|
+ (82 . |One|) (86 . |One|) (90 . |monomial|)
+ |UPOLYC-;coerce;SaosS;14| (|SparseUnivariatePolynomial| 7)
+ (96 . |Zero|) (100 . |leadingCoefficient|)
+ (105 . |monomial|) (111 . |reductum|) (116 . |makeSUP|)
+ (121 . +) |UPOLYC-;makeSUP;SSup;15| (127 . |zero?|)
+ (132 . |Zero|) (136 . |leadingCoefficient|)
+ (141 . |degree|) (146 . |reductum|) (151 . |unmakeSUP|)
+ (156 . +) |UPOLYC-;unmakeSUP;SupS;16|
+ (|Record| (|:| |quotient| $) (|:| |remainder| $))
+ (162 . |monicDivide|) |UPOLYC-;karatsubaDivide;SNniR;17|
+ |UPOLYC-;shiftRight;SNniS;18| (168 . *)
+ |UPOLYC-;shiftLeft;SNniS;19| (|Union| 74 '"failed")
+ (|List| 75) (|SparseUnivariatePolynomial| 6)
+ (|PolynomialFactorizationByRecursionUnivariate| 7 6)
+ (174 . |solveLinearPolynomialEquationByRecursion|)
+ (|Union| 79 '"failed") (|List| 80)
+ (|SparseUnivariatePolynomial| $)
+ (180 . |solveLinearPolynomialEquation|) (|Factored| 75)
+ (186 . |factorByRecursion|) (|Factored| 80)
+ (191 . |factorPolynomial|)
+ (196 . |factorSquareFreeByRecursion|)
+ (201 . |factorSquareFreePolynomial|) (|Factored| $)
+ (206 . |factor|) (|Factored| 7) (211 . |unit|)
+ (|Union| '"nil" '"sqfr" '"irred" '"prime")
+ (|Record| (|:| |flg| 92) (|:| |fctr| 7) (|:| |xpnt| 109))
+ (|List| 93) (216 . |factorList|)
+ (|Record| (|:| |flg| 92) (|:| |fctr| 6) (|:| |xpnt| 109))
+ (|List| 96) (|Factored| 6) (221 . |makeFR|)
+ (227 . |factorPolynomial|) (|Mapping| 6 51)
+ (|Factored| 51) (|FactoredFunctions2| 51 6) (232 . |map|)
+ (238 . |factor|) (243 . |Zero|) (|Vector| 7) (247 . |new|)
+ (|Integer|) (253 . |minIndex|) (258 . |coefficient|)
+ (264 . |qsetelt!|) |UPOLYC-;vectorise;SNniV;24|
+ |UPOLYC-;retract;SR;25| (|Union| 7 '"failed")
+ |UPOLYC-;retractIfCan;SU;26| (271 . |init|) (275 . |init|)
+ (|Union| $ '"failed") (279 . |nextItem|) (284 . |One|)
+ (288 . |nextItem|) (293 . |content|) (298 . |content|)
+ (304 . |gcd|) (310 . |exquo|) (316 . =)
+ (|Record| (|:| |primePart| $) (|:| |commonPart| $))
+ (322 . |separate|) (328 . |Zero|) (332 . *)
+ (|Mapping| 7 7) (338 . |differentiate|) (345 . *)
+ (351 . |differentiate|) |UPOLYC-;differentiate;SMS;36|
+ |UPOLYC-;differentiate;2S;37| (358 . |differentiate|)
+ |UPOLYC-;differentiate;SSaosS;38| (|Fraction| 6)
+ (363 . |numer|) (|Fraction| $) (368 . |elt|)
+ (374 . |denom|) (379 . /) (385 . |elt|) (391 . **)
+ (397 . |pseudoRemainder|) (403 . -)
+ (409 . |pseudoQuotient|)
+ (|Record| (|:| |coef| 7) (|:| |quotient| $)
+ (|:| |remainder| $))
+ (415 . |pseudoDivide|) (421 . |composite|) (427 . /)
+ (|Union| 142 '"failed") (433 . |composite|)
+ (439 . |ground?|) (444 . |pseudoDivide|) (450 . |exquo|)
+ (456 . |composite|) (462 . |Zero|) (466 . |coerce|)
+ (471 . |not|) (476 . **) (482 . *) (488 . +) (494 . **)
+ (500 . |elt|) (506 . |order|)
+ (|UnivariatePolynomialSquareFree| 7 6)
+ (512 . |squareFree|) (517 . |squareFree|)
+ (522 . |squareFreePart|) (527 . |squareFreePart|)
+ (532 . |zero?|) (537 . |unitCanonical|) (542 . |content|)
+ (547 . |primitivePart|) (552 . |subResultantGcd|)
+ (558 . *) (564 . |gcdPolynomial|)
+ (|UnivariatePolynomialSquareFree| 6 75)
+ (570 . |squareFree|) (575 . |squareFreePolynomial|)
+ (580 . /) (586 . |elt|) (592 . |euclideanSize|)
+ (597 . |inv|) (602 . *) (608 . |divide|) (|Fraction| 109)
+ (614 . |coerce|) (619 . |inv|) (624 . *)
+ (630 . |integrate|) (|Symbol|) (|List| 196) (|Equation| $)
+ (|Union| 109 '"failed") (|Union| 191 '"failed")
+ (|OutputForm|))
+ '#(|vectorise| 635 |variables| 641 |unmakeSUP| 646
+ |totalDegree| 651 |squareFreePolynomial| 657
+ |squareFreePart| 662 |squareFree| 667
+ |solveLinearPolynomialEquation| 672 |shiftRight| 678
+ |shiftLeft| 684 |separate| 690 |retractIfCan| 696
+ |retract| 701 |pseudoQuotient| 706 |pseudoDivide| 712
+ |order| 718 |nextItem| 724 |monomial| 729 |minimumDegree|
+ 736 |makeSUP| 748 |mainVariable| 753 |karatsubaDivide| 758
+ |integrate| 764 |init| 769 |gcdPolynomial| 773
+ |factorSquareFreePolynomial| 779 |factorPolynomial| 784
+ |factor| 789 |eval| 794 |euclideanSize| 828 |elt| 833
+ |divide| 851 |differentiate| 857 |degree| 881 |content|
+ 893 |composite| 899 |coerce| 911)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 195
+ '(1 6 8 0 9 1 6 10 0 11 0 12 0 13 1 6
+ 10 0 17 3 6 0 0 12 0 21 2 6 0 0 0 24
+ 3 6 0 0 12 7 26 2 6 7 0 7 29 1 6 0 7
+ 30 1 32 6 0 33 1 6 34 0 35 1 32 6 0
+ 36 1 6 10 0 40 2 10 0 0 0 43 2 6 0 44
+ 0 45 0 6 0 47 0 7 0 48 2 6 0 7 10 49
+ 0 51 0 52 1 6 7 0 53 2 51 0 7 10 54 1
+ 6 0 0 55 1 6 51 0 56 2 51 0 0 0 57 1
+ 51 8 0 59 0 6 0 60 1 51 7 0 61 1 51
+ 10 0 62 1 51 0 0 63 1 6 0 51 64 2 6 0
+ 0 0 65 2 6 67 0 0 68 2 6 0 0 0 71 2
+ 76 73 74 75 77 2 0 78 79 80 81 1 76
+ 82 75 83 1 0 84 80 85 1 76 82 75 86 1
+ 0 84 80 87 1 7 88 0 89 1 90 7 0 91 1
+ 90 94 0 95 2 98 0 6 97 99 1 7 84 80
+ 100 2 103 98 101 102 104 1 0 88 0 105
+ 0 7 0 106 2 107 0 10 7 108 1 107 109
+ 0 110 2 6 7 0 10 111 3 107 7 0 109 7
+ 112 0 7 0 117 0 0 0 118 1 7 119 0 120
+ 0 75 0 121 1 0 119 0 122 1 6 7 0 123
+ 2 0 0 0 12 124 2 6 0 0 0 125 2 6 119
+ 0 0 126 2 6 8 0 0 127 2 0 128 0 0 129
+ 0 75 0 130 2 7 0 10 0 131 3 0 0 0 132
+ 0 133 2 6 0 7 0 134 3 6 0 0 132 0 135
+ 1 6 0 0 138 1 140 6 0 141 2 6 142 0
+ 142 143 1 140 6 0 144 2 140 0 0 0 145
+ 2 0 142 142 142 146 2 7 0 0 10 147 2
+ 6 0 0 0 148 2 6 0 0 0 149 2 0 0 0 0
+ 150 2 0 151 0 0 152 2 6 119 0 0 153 2
+ 140 0 6 6 154 2 0 155 142 0 156 1 6 8
+ 0 157 2 6 151 0 0 158 2 6 119 0 7 159
+ 2 0 119 0 0 160 0 140 0 161 1 140 0 6
+ 162 1 8 0 0 163 2 140 0 0 109 164 2
+ 140 0 0 0 165 2 140 0 0 0 166 2 140 0
+ 0 10 167 2 0 142 0 142 168 2 0 10 0 0
+ 169 1 170 98 6 171 1 0 88 0 172 1 170
+ 6 6 173 1 0 0 0 174 1 75 8 0 175 1 75
+ 0 0 176 1 75 6 0 177 1 75 0 0 178 2
+ 75 0 0 0 179 2 75 0 6 0 180 2 0 80 80
+ 80 181 1 182 82 75 183 1 0 84 80 184
+ 2 7 0 0 0 185 2 0 7 142 7 186 1 0 10
+ 0 187 1 7 0 0 188 2 7 0 0 0 189 2 0
+ 67 0 0 190 1 191 0 109 192 1 191 0 0
+ 193 2 6 0 191 0 194 1 0 0 0 195 2 0
+ 107 0 10 113 1 0 14 0 15 1 0 0 51 66
+ 2 0 10 0 14 18 1 0 84 80 184 1 0 0 0
+ 174 1 0 88 0 172 2 0 78 79 80 81 2 0
+ 0 0 10 70 2 0 0 0 10 72 2 0 128 0 0
+ 129 1 0 115 0 116 1 0 7 0 114 2 0 0 0
+ 0 150 2 0 151 0 0 152 2 0 10 0 0 169
+ 1 0 119 0 122 3 0 0 0 12 10 46 2 0 19
+ 0 14 42 2 0 10 0 12 41 1 0 51 0 58 1
+ 0 34 0 39 2 0 67 0 10 69 1 0 0 0 195
+ 0 0 0 118 2 0 80 80 80 181 1 0 84 80
+ 87 1 0 84 80 85 1 0 88 0 105 3 0 0 0
+ 12 0 25 3 0 0 0 14 22 23 3 0 0 0 14
+ 27 28 3 0 0 0 12 7 31 2 0 0 0 37 38 1
+ 0 10 0 187 2 0 142 0 142 168 2 0 7
+ 142 7 186 2 0 142 142 142 146 2 0 67
+ 0 0 190 3 0 0 0 132 0 133 2 0 0 0 132
+ 136 1 0 0 0 137 2 0 0 0 12 139 2 0 10
+ 0 12 16 2 0 19 0 14 20 2 0 0 0 12 124
+ 2 0 119 0 0 160 2 0 155 142 0 156 1 0
+ 0 12 50)))))
+ '|lookupComplete|))
@
\section{package UPOLYC2 UnivariatePolynomialCategoryFunctions2}
<<package UPOLYC2 UnivariatePolynomialCategoryFunctions2>>=
diff --git a/src/algebra/triset.spad.pamphlet b/src/algebra/triset.spad.pamphlet
index 28327621..224452fc 100644
--- a/src/algebra/triset.spad.pamphlet
+++ b/src/algebra/triset.spad.pamphlet
@@ -495,15 +495,205 @@ Note that this code is not included in the generated catdef.spad file.
<<TSETCAT.lsp BOOTSTRAP>>=
-(|/VERSIONCHECK| 2)
-
-(SETQ |TriangularSetCategory;CAT| (QUOTE NIL))
-
-(SETQ |TriangularSetCategory;AL| (QUOTE NIL))
-
-(DEFUN |TriangularSetCategory| (|&REST| #1=#:G82394 |&AUX| #2=#:G82392) (DSETQ #2# #1#) (LET (#3=#:G82393) (COND ((SETQ #3# (|assoc| (|devaluateList| #2#) |TriangularSetCategory;AL|)) (CDR #3#)) (T (SETQ |TriangularSetCategory;AL| (|cons5| (CONS (|devaluateList| #2#) (SETQ #3# (APPLY (FUNCTION |TriangularSetCategory;|) #2#))) |TriangularSetCategory;AL|)) #3#))))
-
-(DEFUN |TriangularSetCategory;| (|t#1| |t#2| |t#3| |t#4|) (PROG (#1=#:G82391) (RETURN (PROG1 (LETT #1# (|sublisV| (PAIR (QUOTE (|t#1| |t#2| |t#3| |t#4|)) (LIST (|devaluate| |t#1|) (|devaluate| |t#2|) (|devaluate| |t#3|) (|devaluate| |t#4|))) (COND (|TriangularSetCategory;CAT|) ((QUOTE T) (LETT |TriangularSetCategory;CAT| (|Join| (|PolynomialSetCategory| (QUOTE |t#1|) (QUOTE |t#2|) (QUOTE |t#3|) (QUOTE |t#4|)) (|mkCategory| (QUOTE |domain|) (QUOTE (((|infRittWu?| ((|Boolean|) |$| |$|)) T) ((|basicSet| ((|Union| (|Record| (|:| |bas| |$|) (|:| |top| (|List| |t#4|))) "failed") (|List| |t#4|) (|Mapping| (|Boolean|) |t#4| |t#4|))) T) ((|basicSet| ((|Union| (|Record| (|:| |bas| |$|) (|:| |top| (|List| |t#4|))) "failed") (|List| |t#4|) (|Mapping| (|Boolean|) |t#4|) (|Mapping| (|Boolean|) |t#4| |t#4|))) T) ((|initials| ((|List| |t#4|) |$|)) T) ((|degree| ((|NonNegativeInteger|) |$|)) T) ((|quasiComponent| ((|Record| (|:| |close| (|List| |t#4|)) (|:| |open| (|List| |t#4|))) |$|)) T) ((|normalized?| ((|Boolean|) |t#4| |$|)) T) ((|normalized?| ((|Boolean|) |$|)) T) ((|reduced?| ((|Boolean|) |t#4| |$| (|Mapping| (|Boolean|) |t#4| |t#4|))) T) ((|stronglyReduced?| ((|Boolean|) |t#4| |$|)) T) ((|headReduced?| ((|Boolean|) |t#4| |$|)) T) ((|initiallyReduced?| ((|Boolean|) |t#4| |$|)) T) ((|autoReduced?| ((|Boolean|) |$| (|Mapping| (|Boolean|) |t#4| (|List| |t#4|)))) T) ((|stronglyReduced?| ((|Boolean|) |$|)) T) ((|headReduced?| ((|Boolean|) |$|)) T) ((|initiallyReduced?| ((|Boolean|) |$|)) T) ((|reduce| (|t#4| |t#4| |$| (|Mapping| |t#4| |t#4| |t#4|) (|Mapping| (|Boolean|) |t#4| |t#4|))) T) ((|rewriteSetWithReduction| ((|List| |t#4|) (|List| |t#4|) |$| (|Mapping| |t#4| |t#4| |t#4|) (|Mapping| (|Boolean|) |t#4| |t#4|))) T) ((|stronglyReduce| (|t#4| |t#4| |$|)) T) ((|headReduce| (|t#4| |t#4| |$|)) T) ((|initiallyReduce| (|t#4| |t#4| |$|)) T) ((|removeZero| (|t#4| |t#4| |$|)) T) ((|collectQuasiMonic| (|$| |$|)) T) ((|reduceByQuasiMonic| (|t#4| |t#4| |$|)) T) ((|zeroSetSplit| ((|List| |$|) (|List| |t#4|))) T) ((|zeroSetSplitIntoTriangularSystems| ((|List| (|Record| (|:| |close| |$|) (|:| |open| (|List| |t#4|)))) (|List| |t#4|))) T) ((|first| ((|Union| |t#4| "failed") |$|)) T) ((|last| ((|Union| |t#4| "failed") |$|)) T) ((|rest| ((|Union| |$| "failed") |$|)) T) ((|algebraicVariables| ((|List| |t#3|) |$|)) T) ((|algebraic?| ((|Boolean|) |t#3| |$|)) T) ((|select| ((|Union| |t#4| "failed") |$| |t#3|)) T) ((|extendIfCan| ((|Union| |$| "failed") |$| |t#4|)) T) ((|extend| (|$| |$| |t#4|)) T) ((|coHeight| ((|NonNegativeInteger|) |$|)) (|has| |t#3| (|Finite|))))) (QUOTE ((|finiteAggregate| T) (|shallowlyMutable| T))) (QUOTE ((|NonNegativeInteger|) (|Boolean|) (|List| |t#3|) (|List| (|Record| (|:| |close| |$|) (|:| |open| (|List| |t#4|)))) (|List| |t#4|) (|List| |$|))) NIL)) . #2=(|TriangularSetCategory|))))) . #2#) (SETELT #1# 0 (LIST (QUOTE |TriangularSetCategory|) (|devaluate| |t#1|) (|devaluate| |t#2|) (|devaluate| |t#3|) (|devaluate| |t#4|)))))))
+(/VERSIONCHECK 2)
+
+(DEFPARAMETER |TriangularSetCategory;CAT| 'NIL)
+
+(DEFPARAMETER |TriangularSetCategory;AL| 'NIL)
+
+(DEFUN |TriangularSetCategory| (&REST #0=#:G1439 &AUX #1=#:G1437)
+ (DSETQ #1# #0#)
+ (LET (#2=#:G1438)
+ (COND
+ ((SETQ #2#
+ (|assoc| (|devaluateList| #1#) |TriangularSetCategory;AL|))
+ (CDR #2#))
+ (T (SETQ |TriangularSetCategory;AL|
+ (|cons5| (CONS (|devaluateList| #1#)
+ (SETQ #2#
+ (APPLY #'|TriangularSetCategory;|
+ #1#)))
+ |TriangularSetCategory;AL|))
+ #2#))))
+
+(DEFUN |TriangularSetCategory;| (|t#1| |t#2| |t#3| |t#4|)
+ (PROG (#0=#:G1436)
+ (RETURN
+ (PROG1 (LETT #0#
+ (|sublisV|
+ (PAIR '(|t#1| |t#2| |t#3| |t#4|)
+ (LIST (|devaluate| |t#1|)
+ (|devaluate| |t#2|)
+ (|devaluate| |t#3|)
+ (|devaluate| |t#4|)))
+ (COND
+ (|TriangularSetCategory;CAT|)
+ ('T
+ (LETT |TriangularSetCategory;CAT|
+ (|Join| (|PolynomialSetCategory| '|t#1|
+ '|t#2| '|t#3| '|t#4|)
+ (|mkCategory| '|domain|
+ '(((|infRittWu?|
+ ((|Boolean|) $ $))
+ T)
+ ((|basicSet|
+ ((|Union|
+ (|Record| (|:| |bas| $)
+ (|:| |top|
+ (|List| |t#4|)))
+ "failed")
+ (|List| |t#4|)
+ (|Mapping| (|Boolean|)
+ |t#4| |t#4|)))
+ T)
+ ((|basicSet|
+ ((|Union|
+ (|Record| (|:| |bas| $)
+ (|:| |top|
+ (|List| |t#4|)))
+ "failed")
+ (|List| |t#4|)
+ (|Mapping| (|Boolean|)
+ |t#4|)
+ (|Mapping| (|Boolean|)
+ |t#4| |t#4|)))
+ T)
+ ((|initials|
+ ((|List| |t#4|) $))
+ T)
+ ((|degree|
+ ((|NonNegativeInteger|) $))
+ T)
+ ((|quasiComponent|
+ ((|Record|
+ (|:| |close|
+ (|List| |t#4|))
+ (|:| |open|
+ (|List| |t#4|)))
+ $))
+ T)
+ ((|normalized?|
+ ((|Boolean|) |t#4| $))
+ T)
+ ((|normalized?|
+ ((|Boolean|) $))
+ T)
+ ((|reduced?|
+ ((|Boolean|) |t#4| $
+ (|Mapping| (|Boolean|)
+ |t#4| |t#4|)))
+ T)
+ ((|stronglyReduced?|
+ ((|Boolean|) |t#4| $))
+ T)
+ ((|headReduced?|
+ ((|Boolean|) |t#4| $))
+ T)
+ ((|initiallyReduced?|
+ ((|Boolean|) |t#4| $))
+ T)
+ ((|autoReduced?|
+ ((|Boolean|) $
+ (|Mapping| (|Boolean|)
+ |t#4| (|List| |t#4|))))
+ T)
+ ((|stronglyReduced?|
+ ((|Boolean|) $))
+ T)
+ ((|headReduced?|
+ ((|Boolean|) $))
+ T)
+ ((|initiallyReduced?|
+ ((|Boolean|) $))
+ T)
+ ((|reduce|
+ (|t#4| |t#4| $
+ (|Mapping| |t#4| |t#4|
+ |t#4|)
+ (|Mapping| (|Boolean|)
+ |t#4| |t#4|)))
+ T)
+ ((|rewriteSetWithReduction|
+ ((|List| |t#4|)
+ (|List| |t#4|) $
+ (|Mapping| |t#4| |t#4|
+ |t#4|)
+ (|Mapping| (|Boolean|)
+ |t#4| |t#4|)))
+ T)
+ ((|stronglyReduce|
+ (|t#4| |t#4| $))
+ T)
+ ((|headReduce|
+ (|t#4| |t#4| $))
+ T)
+ ((|initiallyReduce|
+ (|t#4| |t#4| $))
+ T)
+ ((|removeZero|
+ (|t#4| |t#4| $))
+ T)
+ ((|collectQuasiMonic| ($ $))
+ T)
+ ((|reduceByQuasiMonic|
+ (|t#4| |t#4| $))
+ T)
+ ((|zeroSetSplit|
+ ((|List| $)
+ (|List| |t#4|)))
+ T)
+ ((|zeroSetSplitIntoTriangularSystems|
+ ((|List|
+ (|Record|
+ (|:| |close| $)
+ (|:| |open|
+ (|List| |t#4|))))
+ (|List| |t#4|)))
+ T)
+ ((|first|
+ ((|Union| |t#4| "failed")
+ $))
+ T)
+ ((|last|
+ ((|Union| |t#4| "failed")
+ $))
+ T)
+ ((|rest|
+ ((|Union| $ "failed") $))
+ T)
+ ((|algebraicVariables|
+ ((|List| |t#3|) $))
+ T)
+ ((|algebraic?|
+ ((|Boolean|) |t#3| $))
+ T)
+ ((|select|
+ ((|Union| |t#4| "failed")
+ $ |t#3|))
+ T)
+ ((|extendIfCan|
+ ((|Union| $ "failed") $
+ |t#4|))
+ T)
+ ((|extend| ($ $ |t#4|)) T)
+ ((|coHeight|
+ ((|NonNegativeInteger|) $))
+ (|has| |t#3| (|Finite|))))
+ '((|finiteAggregate| T)
+ (|shallowlyMutable| T))
+ '((|NonNegativeInteger|)
+ (|Boolean|) (|List| |t#3|)
+ (|List|
+ (|Record| (|:| |close| $)
+ (|:| |open|
+ (|List| |t#4|))))
+ (|List| |t#4|) (|List| $))
+ NIL))
+ . #1=(|TriangularSetCategory|))))) . #1#)
+ (SETELT #0# 0
+ (LIST '|TriangularSetCategory| (|devaluate| |t#1|)
+ (|devaluate| |t#2|) (|devaluate| |t#3|)
+ (|devaluate| |t#4|)))))))
@
\section{TSETCAT-.lsp BOOTSTRAP}
{\bf TSETCAT-} depends on a chain of files.
@@ -516,6 +706,980 @@ This is eventually forcibly replaced by a recompiled version.
Note that this code is not included in the generated catdef.spad file.
<<TSETCAT-.lsp BOOTSTRAP>>=
+
+(/VERSIONCHECK 2)
+
+(DEFUN |TSETCAT-;=;2SB;1| (|ts| |us| $)
+ (PROG (#0=#:G1444 #1=#:G1450)
+ (RETURN
+ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) (SPADCALL |us| (QREFELT $ 12)))
+ ((OR (SPADCALL |us| (QREFELT $ 12))
+ (NULL (SPADCALL
+ (PROG2 (LETT #0# (SPADCALL |ts| (QREFELT $ 14))
+ |TSETCAT-;=;2SB;1|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 10)
+ #0#))
+ (PROG2 (LETT #0# (SPADCALL |us| (QREFELT $ 14))
+ |TSETCAT-;=;2SB;1|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 10)
+ #0#))
+ (QREFELT $ 15))))
+ 'NIL)
+ ('T
+ (SPADCALL
+ (PROG2 (LETT #1# (SPADCALL |ts| (QREFELT $ 17))
+ |TSETCAT-;=;2SB;1|)
+ (QCDR #1#)
+ (|check-union| (QEQCAR #1# 0) (QREFELT $ 6) #1#))
+ (PROG2 (LETT #1# (SPADCALL |us| (QREFELT $ 17))
+ |TSETCAT-;=;2SB;1|)
+ (QCDR #1#)
+ (|check-union| (QEQCAR #1# 0) (QREFELT $ 6) #1#))
+ (QREFELT $ 18)))))))
+
+(DEFUN |TSETCAT-;infRittWu?;2SB;2| (|ts| |us| $)
+ (PROG (|p| #0=#:G1457 |q| |v|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |us| (QREFELT $ 12))
+ (SPADCALL (SPADCALL |ts| (QREFELT $ 12)) (QREFELT $ 20)))
+ ((SPADCALL |ts| (QREFELT $ 12)) 'NIL)
+ ('T
+ (SEQ (LETT |p|
+ (PROG2 (LETT #0#
+ (SPADCALL |ts| (QREFELT $ 21))
+ |TSETCAT-;infRittWu?;2SB;2|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 10)
+ #0#))
+ |TSETCAT-;infRittWu?;2SB;2|)
+ (LETT |q|
+ (PROG2 (LETT #0#
+ (SPADCALL |us| (QREFELT $ 21))
+ |TSETCAT-;infRittWu?;2SB;2|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 10)
+ #0#))
+ |TSETCAT-;infRittWu?;2SB;2|)
+ (EXIT (COND
+ ((SPADCALL |p| |q| (QREFELT $ 22)) 'T)
+ ((SPADCALL |p| |q| (QREFELT $ 23)) 'NIL)
+ ('T
+ (SEQ (LETT |v|
+ (SPADCALL |p| (QREFELT $ 24))
+ |TSETCAT-;infRittWu?;2SB;2|)
+ (EXIT (SPADCALL
+ (SPADCALL |ts| |v|
+ (QREFELT $ 25))
+ (SPADCALL |us| |v|
+ (QREFELT $ 25))
+ (QREFELT $ 26))))))))))))))
+
+(DEFUN |TSETCAT-;reduced?;PSMB;3| (|p| |ts| |redOp?| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;reduced?;PSMB;3|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL |p| (|SPADfirst| |lp|) |redOp?|))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;reduced?;PSMB;3|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (NULL |lp|))))))
+
+(DEFUN |TSETCAT-;basicSet;LMU;4| (|ps| |redOp?| $)
+ (PROG (|b| |bs| |p| |ts|)
+ (RETURN
+ (SEQ (LETT |ps| (SPADCALL (ELT $ 32) |ps| (QREFELT $ 34))
+ |TSETCAT-;basicSet;LMU;4|)
+ (EXIT (COND
+ ((SPADCALL (ELT $ 35) |ps| (QREFELT $ 36))
+ (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |ps|
+ (SPADCALL (ELT $ 22) |ps|
+ (QREFELT $ 37))
+ |TSETCAT-;basicSet;LMU;4|)
+ (LETT |bs| (SPADCALL (QREFELT $ 38))
+ |TSETCAT-;basicSet;LMU;4|)
+ (LETT |ts| NIL |TSETCAT-;basicSet;LMU;4|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |ps|)
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (LETT |b| (|SPADfirst| |ps|)
+ |TSETCAT-;basicSet;LMU;4|)
+ (LETT |bs|
+ (SPADCALL |bs| |b| (QREFELT $ 39))
+ |TSETCAT-;basicSet;LMU;4|)
+ (LETT |ps| (CDR |ps|)
+ |TSETCAT-;basicSet;LMU;4|)
+ (EXIT
+ (SEQ G190
+ (COND
+ ((NULL
+ (COND
+ ((NULL |ps|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (LETT |p|
+ (|SPADfirst| |ps|)
+ |TSETCAT-;basicSet;LMU;4|)
+ |bs| |redOp?|
+ (QREFELT $ 40))
+ (QREFELT $ 20)))))
+ (GO G191)))
+ (SEQ
+ (LETT |ts| (CONS |p| |ts|)
+ |TSETCAT-;basicSet;LMU;4|)
+ (EXIT
+ (LETT |ps| (CDR |ps|)
+ |TSETCAT-;basicSet;LMU;4|)))
+ NIL (GO G190) G191 (EXIT NIL))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (CONS 0 (CONS |bs| |ts|)))))))))))
+
+(DEFUN |TSETCAT-;basicSet;LMMU;5| (|ps| |pred?| |redOp?| $)
+ (PROG (|bps| |b| |bs| |p| |gps| |ts|)
+ (RETURN
+ (SEQ (LETT |ps| (SPADCALL (ELT $ 32) |ps| (QREFELT $ 34))
+ |TSETCAT-;basicSet;LMMU;5|)
+ (EXIT (COND
+ ((SPADCALL (ELT $ 35) |ps| (QREFELT $ 36))
+ (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |gps| NIL |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |bps| NIL |TSETCAT-;basicSet;LMMU;5|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |ps|)
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |ps|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |ps| (CDR |ps|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ (EXIT
+ (COND
+ ((SPADCALL |p| |pred?|)
+ (LETT |gps| (CONS |p| |gps|)
+ |TSETCAT-;basicSet;LMMU;5|))
+ ('T
+ (LETT |bps| (CONS |p| |bps|)
+ |TSETCAT-;basicSet;LMMU;5|)))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (LETT |gps|
+ (SPADCALL (ELT $ 22) |gps|
+ (QREFELT $ 37))
+ |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |bs| (SPADCALL (QREFELT $ 38))
+ |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |ts| NIL |TSETCAT-;basicSet;LMMU;5|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |gps|)
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (LETT |b| (|SPADfirst| |gps|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |bs|
+ (SPADCALL |bs| |b| (QREFELT $ 39))
+ |TSETCAT-;basicSet;LMMU;5|)
+ (LETT |gps| (CDR |gps|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ (EXIT
+ (SEQ G190
+ (COND
+ ((NULL
+ (COND
+ ((NULL |gps|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (LETT |p|
+ (|SPADfirst| |gps|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ |bs| |redOp?|
+ (QREFELT $ 40))
+ (QREFELT $ 20)))))
+ (GO G191)))
+ (SEQ
+ (LETT |ts| (CONS |p| |ts|)
+ |TSETCAT-;basicSet;LMMU;5|)
+ (EXIT
+ (LETT |gps| (CDR |gps|)
+ |TSETCAT-;basicSet;LMMU;5|)))
+ NIL (GO G190) G191 (EXIT NIL))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (LETT |ts|
+ (SPADCALL (ELT $ 22)
+ (SPADCALL |ts| |bps| (QREFELT $ 44))
+ (QREFELT $ 37))
+ |TSETCAT-;basicSet;LMMU;5|)
+ (EXIT (CONS 0 (CONS |bs| |ts|)))))))))))
+
+(DEFUN |TSETCAT-;initials;SL;6| (|ts| $)
+ (PROG (|p| |ip| |lip| |lp|)
+ (RETURN
+ (SEQ (LETT |lip| NIL |TSETCAT-;initials;SL;6|)
+ (EXIT (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) |lip|)
+ ('T
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;initials;SL;6|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|)
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |TSETCAT-;initials;SL;6|)
+ (COND
+ ((NULL
+ (SPADCALL
+ (LETT |ip|
+ (SPADCALL |p| (QREFELT $ 46))
+ |TSETCAT-;initials;SL;6|)
+ (QREFELT $ 35)))
+ (LETT |lip|
+ (CONS
+ (SPADCALL |ip| (QREFELT $ 47))
+ |lip|)
+ |TSETCAT-;initials;SL;6|)))
+ (EXIT
+ (LETT |lp| (CDR |lp|)
+ |TSETCAT-;initials;SL;6|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |lip| (QREFELT $ 48)))))))))))
+
+(DEFUN |TSETCAT-;degree;SNni;7| (|ts| $)
+ (PROG (|lp| |d|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) 0)
+ ('T
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;degree;SNni;7|)
+ (LETT |d|
+ (SPADCALL (|SPADfirst| |lp|) (QREFELT $ 51))
+ |TSETCAT-;degree;SNni;7|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL
+ (NULL
+ (LETT |lp| (CDR |lp|)
+ |TSETCAT-;degree;SNni;7|))
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (EXIT (LETT |d|
+ (* |d|
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 51)))
+ |TSETCAT-;degree;SNni;7|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |d|))))))))
+
+(DEFUN |TSETCAT-;quasiComponent;SR;8| (|ts| $)
+ (CONS (SPADCALL |ts| (QREFELT $ 29)) (SPADCALL |ts| (QREFELT $ 53))))
+
+(DEFUN |TSETCAT-;normalized?;PSB;9| (|p| |ts| $)
+ (SPADCALL |p| (SPADCALL |ts| (QREFELT $ 29)) (QREFELT $ 57)))
+
+(DEFUN |TSETCAT-;stronglyReduced?;PSB;10| (|p| |ts| $)
+ (SPADCALL |p| (SPADCALL |ts| (QREFELT $ 29)) (QREFELT $ 59)))
+
+(DEFUN |TSETCAT-;headReduced?;PSB;11| (|p| |ts| $)
+ (SPADCALL (SPADCALL |p| (QREFELT $ 61)) |ts| (QREFELT $ 62)))
+
+(DEFUN |TSETCAT-;initiallyReduced?;PSB;12| (|p| |ts| $)
+ (PROG (|lp| |red|)
+ (RETURN
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;initiallyReduced?;PSB;12|)
+ (LETT |red| 'T |TSETCAT-;initiallyReduced?;PSB;12|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((OR (NULL |lp|)
+ (SPADCALL |p| (QREFELT $ 35)))
+ 'NIL)
+ ('T |red|)))
+ (GO G191)))
+ (SEQ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL |p| (QREFELT $ 24))
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 24))
+ (QREFELT $ 64)))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;initiallyReduced?;PSB;12|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (COND
+ ((NULL (NULL |lp|))
+ (COND
+ ((SPADCALL
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 24))
+ (SPADCALL |p| (QREFELT $ 24))
+ (QREFELT $ 65))
+ (COND
+ ((SPADCALL |p| (|SPADfirst| |lp|)
+ (QREFELT $ 66))
+ (SEQ
+ (LETT |lp| (CDR |lp|)
+ |TSETCAT-;initiallyReduced?;PSB;12|)
+ (EXIT
+ (LETT |p|
+ (SPADCALL |p| (QREFELT $ 46))
+ |TSETCAT-;initiallyReduced?;PSB;12|))))
+ ('T
+ (LETT |red| 'NIL
+ |TSETCAT-;initiallyReduced?;PSB;12|))))
+ ('T
+ (LETT |p|
+ (SPADCALL |p| (QREFELT $ 46))
+ |TSETCAT-;initiallyReduced?;PSB;12|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |red|)))))
+
+(DEFUN |TSETCAT-;reduce;PSMMP;13| (|p| |ts| |redOp| |redOp?| $)
+ (PROG (|ts0| #0=#:G1532 |reductor| #1=#:G1535)
+ (RETURN
+ (SEQ (COND
+ ((OR (SPADCALL |ts| (QREFELT $ 12))
+ (SPADCALL |p| (QREFELT $ 35)))
+ |p|)
+ ('T
+ (SEQ (LETT |ts0| |ts| |TSETCAT-;reduce;PSMMP;13|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((SPADCALL |ts| (QREFELT $ 12))
+ 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL |p| (QREFELT $ 35))
+ (QREFELT $ 20)))))
+ (GO G191)))
+ (SEQ (LETT |reductor|
+ (PROG2
+ (LETT #0#
+ (SPADCALL |ts| (QREFELT $ 14))
+ |TSETCAT-;reduce;PSMMP;13|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 10) #0#))
+ |TSETCAT-;reduce;PSMMP;13|)
+ (LETT |ts|
+ (PROG2
+ (LETT #1#
+ (SPADCALL |ts| (QREFELT $ 17))
+ |TSETCAT-;reduce;PSMMP;13|)
+ (QCDR #1#)
+ (|check-union| (QEQCAR #1# 0)
+ (QREFELT $ 6) #1#))
+ |TSETCAT-;reduce;PSMMP;13|)
+ (EXIT (COND
+ ((NULL
+ (SPADCALL |p| |reductor|
+ |redOp?|))
+ (SEQ
+ (LETT |p|
+ (SPADCALL |p| |reductor|
+ |redOp|)
+ |TSETCAT-;reduce;PSMMP;13|)
+ (EXIT
+ (LETT |ts| |ts0|
+ |TSETCAT-;reduce;PSMMP;13|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT |p|))))))))
+
+(DEFUN |TSETCAT-;rewriteSetWithReduction;LSMML;14|
+ (|lp| |ts| |redOp| |redOp?| $)
+ (PROG (|p| |rs|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 70)) |lp|)
+ ('T
+ (SEQ (LETT |lp| (SPADCALL (ELT $ 32) |lp| (QREFELT $ 34))
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (EXIT (COND
+ ((NULL |lp|) |lp|)
+ ((SPADCALL (ELT $ 35) |lp| (QREFELT $ 36))
+ (LIST (|spadConstant| $ 71)))
+ ('T
+ (SEQ (LETT |rs| NIL
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (SEQ G190
+ (COND
+ ((NULL
+ (SPADCALL (NULL |lp|)
+ (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ
+ (LETT |p| (|SPADfirst| |lp|)
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (LETT |lp| (CDR |lp|)
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (LETT |p|
+ (SPADCALL
+ (SPADCALL |p| |ts| |redOp|
+ |redOp?| (QREFELT $ 72))
+ (QREFELT $ 47))
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (EXIT
+ (COND
+ ((NULL
+ (SPADCALL |p|
+ (QREFELT $ 32)))
+ (COND
+ ((SPADCALL |p|
+ (QREFELT $ 35))
+ (SEQ
+ (LETT |lp| NIL
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)
+ (EXIT
+ (LETT |rs|
+ (LIST
+ (|spadConstant| $ 71))
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|))))
+ ('T
+ (LETT |rs|
+ (CONS |p| |rs|)
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|)))))))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |rs| (QREFELT $ 48))))))))))))))
+
+(DEFUN |TSETCAT-;stronglyReduce;PSP;15| (|p| |ts| $)
+ (SPADCALL |p| |ts| (ELT $ 74) (ELT $ 66) (QREFELT $ 72)))
+
+(DEFUN |TSETCAT-;headReduce;PSP;16| (|p| |ts| $)
+ (SPADCALL |p| |ts| (ELT $ 76) (ELT $ 77) (QREFELT $ 72)))
+
+(DEFUN |TSETCAT-;initiallyReduce;PSP;17| (|p| |ts| $)
+ (SPADCALL |p| |ts| (ELT $ 79) (ELT $ 80) (QREFELT $ 72)))
+
+(DEFUN |TSETCAT-;removeZero;PSP;18| (|p| |ts| $)
+ (PROG (|v| |tsv-| #0=#:G1558 #1=#:G1567 |q|)
+ (RETURN
+ (SEQ (EXIT (COND
+ ((OR (SPADCALL |p| (QREFELT $ 35))
+ (SPADCALL |ts| (QREFELT $ 12)))
+ |p|)
+ ('T
+ (SEQ (LETT |v| (SPADCALL |p| (QREFELT $ 24))
+ |TSETCAT-;removeZero;PSP;18|)
+ (LETT |tsv-|
+ (SPADCALL |ts| |v| (QREFELT $ 82))
+ |TSETCAT-;removeZero;PSP;18|)
+ (COND
+ ((SPADCALL |v| |ts| (QREFELT $ 83))
+ (SEQ (LETT |q|
+ (SPADCALL |p|
+ (PROG2
+ (LETT #0#
+ (SPADCALL |ts| |v|
+ (QREFELT $ 84))
+ |TSETCAT-;removeZero;PSP;18|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0)
+ (QREFELT $ 10) #0#))
+ (QREFELT $ 74))
+ |TSETCAT-;removeZero;PSP;18|)
+ (EXIT (COND
+ ((SPADCALL |q| (QREFELT $ 32))
+ (PROGN
+ (LETT #1# |q|
+ |TSETCAT-;removeZero;PSP;18|)
+ (GO #1#)))
+ ((SPADCALL
+ (SPADCALL |q| |tsv-|
+ (QREFELT $ 85))
+ (QREFELT $ 32))
+ (PROGN
+ (LETT #1#
+ (|spadConstant| $ 86)
+ |TSETCAT-;removeZero;PSP;18|)
+ (GO #1#))))))))
+ (EXIT (COND
+ ((SPADCALL |tsv-| (QREFELT $ 12)) |p|)
+ ('T
+ (SEQ (LETT |q| (|spadConstant| $ 86)
+ |TSETCAT-;removeZero;PSP;18|)
+ (SEQ G190
+ (COND
+ ((NULL
+ (SPADCALL
+ (SPADCALL |p| |v|
+ (QREFELT $ 87))
+ (QREFELT $ 89)))
+ (GO G191)))
+ (SEQ
+ (LETT |q|
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL |p|
+ (QREFELT $ 46))
+ |tsv-| (QREFELT $ 85))
+ (SPADCALL |p|
+ (QREFELT $ 90))
+ (QREFELT $ 91))
+ |q| (QREFELT $ 92))
+ |TSETCAT-;removeZero;PSP;18|)
+ (EXIT
+ (LETT |p|
+ (SPADCALL |p|
+ (QREFELT $ 93))
+ |TSETCAT-;removeZero;PSP;18|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT
+ (SPADCALL |q|
+ (SPADCALL |p| |tsv-|
+ (QREFELT $ 85))
+ (QREFELT $ 92)))))))))))
+ #1# (EXIT #1#)))))
+
+(DEFUN |TSETCAT-;reduceByQuasiMonic;PSP;19| (|p| |ts| $)
+ (COND
+ ((OR (SPADCALL |p| (QREFELT $ 35)) (SPADCALL |ts| (QREFELT $ 12)))
+ |p|)
+ ('T
+ (QVELT (SPADCALL |p| (SPADCALL |ts| (QREFELT $ 95))
+ (QREFELT $ 97))
+ 1))))
+
+(DEFUN |TSETCAT-;autoReduced?;SMB;20| (|ts| |redOp?| $)
+ (PROG (|p| |lp|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) 'T)
+ ('T
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;autoReduced?;SMB;20|)
+ (LETT |p| (|SPADfirst| |lp|)
+ |TSETCAT-;autoReduced?;SMB;20|)
+ (LETT |lp| (CDR |lp|)
+ |TSETCAT-;autoReduced?;SMB;20|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T (SPADCALL |p| |lp| |redOp?|))))
+ (GO G191)))
+ (SEQ (LETT |p| (|SPADfirst| |lp|)
+ |TSETCAT-;autoReduced?;SMB;20|)
+ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;autoReduced?;SMB;20|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (NULL |lp|)))))))))
+
+(DEFUN |TSETCAT-;stronglyReduced?;SB;21| (|ts| $)
+ (SPADCALL |ts| (ELT $ 59) (QREFELT $ 101)))
+
+(DEFUN |TSETCAT-;normalized?;SB;22| (|ts| $)
+ (SPADCALL |ts| (ELT $ 57) (QREFELT $ 101)))
+
+(DEFUN |TSETCAT-;headReduced?;SB;23| (|ts| $)
+ (SPADCALL |ts| (ELT $ 104) (QREFELT $ 101)))
+
+(DEFUN |TSETCAT-;initiallyReduced?;SB;24| (|ts| $)
+ (SPADCALL |ts| (ELT $ 106) (QREFELT $ 101)))
+
+(DEFUN |TSETCAT-;mvar;SV;25| (|ts| $)
+ (PROG (#0=#:G1586)
+ (RETURN
+ (COND
+ ((SPADCALL |ts| (QREFELT $ 12))
+ (|error| "Error from TSETCAT in mvar : #1 is empty"))
+ ('T
+ (SPADCALL
+ (PROG2 (LETT #0# (SPADCALL |ts| (QREFELT $ 14))
+ |TSETCAT-;mvar;SV;25|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (QREFELT $ 10) #0#))
+ (QREFELT $ 24)))))))
+
+(DEFUN |TSETCAT-;first;SU;26| (|ts| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 23)
+ (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;first;SU;26|)
+ (EXIT (CONS 0 (|SPADfirst| |lp|))))))))))
+
+(DEFUN |TSETCAT-;last;SU;27| (|ts| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 22)
+ (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;last;SU;27|)
+ (EXIT (CONS 0 (|SPADfirst| |lp|))))))))))
+
+(DEFUN |TSETCAT-;rest;SU;28| (|ts| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (COND
+ ((SPADCALL |ts| (QREFELT $ 12)) (CONS 1 "failed"))
+ ('T
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 23)
+ (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;rest;SU;28|)
+ (EXIT (CONS 0 (SPADCALL (CDR |lp|) (QREFELT $ 111)))))))))))
+
+(DEFUN |TSETCAT-;coerce;SL;29| (|ts| $)
+ (SPADCALL (ELT $ 23) (SPADCALL |ts| (QREFELT $ 29)) (QREFELT $ 37)))
+
+(DEFUN |TSETCAT-;algebraicVariables;SL;30| (|ts| $)
+ (PROG (#0=#:G1611 |p| #1=#:G1612)
+ (RETURN
+ (SEQ (PROGN
+ (LETT #0# NIL |TSETCAT-;algebraicVariables;SL;30|)
+ (SEQ (LETT |p| NIL |TSETCAT-;algebraicVariables;SL;30|)
+ (LETT #1# (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;algebraicVariables;SL;30|)
+ G190
+ (COND
+ ((OR (ATOM #1#)
+ (PROGN
+ (LETT |p| (CAR #1#)
+ |TSETCAT-;algebraicVariables;SL;30|)
+ NIL))
+ (GO G191)))
+ (SEQ (EXIT (LETT #0#
+ (CONS (SPADCALL |p| (QREFELT $ 24))
+ #0#)
+ |TSETCAT-;algebraicVariables;SL;30|)))
+ (LETT #1# (CDR #1#)
+ |TSETCAT-;algebraicVariables;SL;30|)
+ (GO G190) G191 (EXIT (NREVERSE0 #0#))))))))
+
+(DEFUN |TSETCAT-;algebraic?;VSB;31| (|v| |ts| $)
+ (SPADCALL |v| (SPADCALL |ts| (QREFELT $ 116)) (QREFELT $ 117)))
+
+(DEFUN |TSETCAT-;select;SVU;32| (|ts| |v| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 23) (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;select;SVU;32|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL |v|
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 24))
+ (QREFELT $ 65))
+ (QREFELT $ 20)))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;select;SVU;32|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (COND
+ ((NULL |lp|) (CONS 1 "failed"))
+ ('T (CONS 0 (|SPADfirst| |lp|)))))))))
+
+(DEFUN |TSETCAT-;collectQuasiMonic;2S;33| (|ts| $)
+ (PROG (|newlp| |lp|)
+ (RETURN
+ (SEQ (LETT |lp| (SPADCALL |ts| (QREFELT $ 29))
+ |TSETCAT-;collectQuasiMonic;2S;33|)
+ (LETT |newlp| NIL |TSETCAT-;collectQuasiMonic;2S;33|)
+ (SEQ G190
+ (COND
+ ((NULL (SPADCALL (NULL |lp|) (QREFELT $ 20)))
+ (GO G191)))
+ (SEQ (COND
+ ((SPADCALL
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 46))
+ (QREFELT $ 35))
+ (LETT |newlp| (CONS (|SPADfirst| |lp|) |newlp|)
+ |TSETCAT-;collectQuasiMonic;2S;33|)))
+ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;collectQuasiMonic;2S;33|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |newlp| (QREFELT $ 111)))))))
+
+(DEFUN |TSETCAT-;collectUnder;SVS;34| (|ts| |v| $)
+ (PROG (|lp|)
+ (RETURN
+ (SEQ (LETT |lp|
+ (SPADCALL (ELT $ 23) (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;collectUnder;SVS;34|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp|) 'NIL)
+ ('T
+ (SPADCALL
+ (SPADCALL
+ (SPADCALL (|SPADfirst| |lp|)
+ (QREFELT $ 24))
+ |v| (QREFELT $ 64))
+ (QREFELT $ 20)))))
+ (GO G191)))
+ (SEQ (EXIT (LETT |lp| (CDR |lp|)
+ |TSETCAT-;collectUnder;SVS;34|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL |lp| (QREFELT $ 111)))))))
+
+(DEFUN |TSETCAT-;collectUpper;SVS;35| (|ts| |v| $)
+ (PROG (|lp2| |lp1|)
+ (RETURN
+ (SEQ (LETT |lp1|
+ (SPADCALL (ELT $ 23) (SPADCALL |ts| (QREFELT $ 29))
+ (QREFELT $ 37))
+ |TSETCAT-;collectUpper;SVS;35|)
+ (LETT |lp2| NIL |TSETCAT-;collectUpper;SVS;35|)
+ (SEQ G190
+ (COND
+ ((NULL (COND
+ ((NULL |lp1|) 'NIL)
+ ('T
+ (SPADCALL |v|
+ (SPADCALL (|SPADfirst| |lp1|)
+ (QREFELT $ 24))
+ (QREFELT $ 64)))))
+ (GO G191)))
+ (SEQ (LETT |lp2| (CONS (|SPADfirst| |lp1|) |lp2|)
+ |TSETCAT-;collectUpper;SVS;35|)
+ (EXIT (LETT |lp1| (CDR |lp1|)
+ |TSETCAT-;collectUpper;SVS;35|)))
+ NIL (GO G190) G191 (EXIT NIL))
+ (EXIT (SPADCALL (REVERSE |lp2|) (QREFELT $ 111)))))))
+
+(DEFUN |TSETCAT-;construct;LS;36| (|lp| $)
+ (PROG (|rif|)
+ (RETURN
+ (SEQ (LETT |rif| (SPADCALL |lp| (QREFELT $ 123))
+ |TSETCAT-;construct;LS;36|)
+ (EXIT (COND
+ ((QEQCAR |rif| 0) (QCDR |rif|))
+ ('T
+ (|error| "in construct : LP -> $ from TSETCAT : bad arg"))))))))
+
+(DEFUN |TSETCAT-;retractIfCan;LU;37| (|lp| $)
+ (PROG (|rif|)
+ (RETURN
+ (SEQ (COND
+ ((NULL |lp|) (CONS 0 (SPADCALL (QREFELT $ 38))))
+ ('T
+ (SEQ (LETT |lp| (SPADCALL (ELT $ 23) |lp| (QREFELT $ 37))
+ |TSETCAT-;retractIfCan;LU;37|)
+ (LETT |rif| (SPADCALL (CDR |lp|) (QREFELT $ 123))
+ |TSETCAT-;retractIfCan;LU;37|)
+ (EXIT (COND
+ ((QEQCAR |rif| 0)
+ (SPADCALL (QCDR |rif|) (|SPADfirst| |lp|)
+ (QREFELT $ 125)))
+ ('T
+ (|error| "in retractIfCan : LP -> ... from TSETCAT : bad arg")))))))))))
+
+(DEFUN |TSETCAT-;extend;SPS;38| (|ts| |p| $)
+ (PROG (|eif|)
+ (RETURN
+ (SEQ (LETT |eif| (SPADCALL |ts| |p| (QREFELT $ 125))
+ |TSETCAT-;extend;SPS;38|)
+ (EXIT (COND
+ ((QEQCAR |eif| 0) (QCDR |eif|))
+ ('T
+ (|error| "in extend : ($,P) -> $ from TSETCAT : bad ars"))))))))
+
+(DEFUN |TSETCAT-;coHeight;SNni;39| (|ts| $)
+ (PROG (|n| |m| #0=#:G1652)
+ (RETURN
+ (SEQ (LETT |n| (SPADCALL (QREFELT $ 128))
+ |TSETCAT-;coHeight;SNni;39|)
+ (LETT |m| (LENGTH (SPADCALL |ts| (QREFELT $ 29)))
+ |TSETCAT-;coHeight;SNni;39|)
+ (EXIT (PROG2 (LETT #0# (SPADCALL |n| |m| (QREFELT $ 129))
+ |TSETCAT-;coHeight;SNni;39|)
+ (QCDR #0#)
+ (|check-union| (QEQCAR #0# 0) (|NonNegativeInteger|)
+ #0#)))))))
+
+(DEFUN |TriangularSetCategory&| (|#1| |#2| |#3| |#4| |#5|)
+ (PROG (|dv$1| |dv$2| |dv$3| |dv$4| |dv$5| |dv$| $ |pv$|)
+ (RETURN
+ (PROGN
+ (LETT |dv$1| (|devaluate| |#1|)
+ . #0=(|TriangularSetCategory&|))
+ (LETT |dv$2| (|devaluate| |#2|) . #0#)
+ (LETT |dv$3| (|devaluate| |#3|) . #0#)
+ (LETT |dv$4| (|devaluate| |#4|) . #0#)
+ (LETT |dv$5| (|devaluate| |#5|) . #0#)
+ (LETT |dv$|
+ (LIST '|TriangularSetCategory&| |dv$1| |dv$2| |dv$3|
+ |dv$4| |dv$5|) . #0#)
+ (LETT $ (GETREFV 132) . #0#)
+ (QSETREFV $ 0 |dv$|)
+ (QSETREFV $ 3
+ (LETT |pv$|
+ (|buildPredVector| 0 0
+ (LIST (|HasCategory| |#4| '(|Finite|)))) . #0#))
+ (|stuffDomainSlots| $)
+ (QSETREFV $ 6 |#1|)
+ (QSETREFV $ 7 |#2|)
+ (QSETREFV $ 8 |#3|)
+ (QSETREFV $ 9 |#4|)
+ (QSETREFV $ 10 |#5|)
+ (COND
+ ((|testBitVector| |pv$| 1)
+ (QSETREFV $ 130
+ (CONS (|dispatchFunction| |TSETCAT-;coHeight;SNni;39|)
+ $))))
+ $))))
+
+(MAKEPROP '|TriangularSetCategory&| '|infovec|
+ (LIST '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
+ (|local| |#3|) (|local| |#4|) (|local| |#5|) (|Boolean|)
+ (0 . |empty?|) (|Union| 10 '"failed") (5 . |first|)
+ (10 . =) (|Union| $ '"failed") (16 . |rest|) (21 . =)
+ |TSETCAT-;=;2SB;1| (27 . |not|) (32 . |last|)
+ (37 . |infRittWu?|) (43 . |supRittWu?|) (49 . |mvar|)
+ (54 . |collectUpper|) (60 . |infRittWu?|)
+ |TSETCAT-;infRittWu?;2SB;2| (|List| 10) (66 . |members|)
+ (|Mapping| 11 10 10) |TSETCAT-;reduced?;PSMB;3|
+ (71 . |zero?|) (|Mapping| 11 10) (76 . |remove|)
+ (82 . |ground?|) (87 . |any?|) (93 . |sort|)
+ (99 . |empty|) (103 . |extend|) (109 . |reduced?|)
+ (|Record| (|:| |bas| $) (|:| |top| 28))
+ (|Union| 41 '"failed") |TSETCAT-;basicSet;LMU;4|
+ (116 . |concat|) |TSETCAT-;basicSet;LMMU;5| (122 . |init|)
+ (127 . |primPartElseUnitCanonical|)
+ (132 . |removeDuplicates|) |TSETCAT-;initials;SL;6|
+ (|NonNegativeInteger|) (137 . |mdeg|)
+ |TSETCAT-;degree;SNni;7| (142 . |initials|)
+ (|Record| (|:| |close| 28) (|:| |open| 28))
+ |TSETCAT-;quasiComponent;SR;8| (|List| $)
+ (147 . |normalized?|) |TSETCAT-;normalized?;PSB;9|
+ (153 . |reduced?|) |TSETCAT-;stronglyReduced?;PSB;10|
+ (159 . |head|) (164 . |stronglyReduced?|)
+ |TSETCAT-;headReduced?;PSB;11| (170 . <) (176 . =)
+ (182 . |reduced?|) |TSETCAT-;initiallyReduced?;PSB;12|
+ (|Mapping| 10 10 10) |TSETCAT-;reduce;PSMMP;13|
+ (188 . |trivialIdeal?|) (193 . |One|) (197 . |reduce|)
+ |TSETCAT-;rewriteSetWithReduction;LSMML;14|
+ (205 . |lazyPrem|) |TSETCAT-;stronglyReduce;PSP;15|
+ (211 . |headReduce|) (217 . |headReduced?|)
+ |TSETCAT-;headReduce;PSP;16| (223 . |initiallyReduce|)
+ (229 . |initiallyReduced?|)
+ |TSETCAT-;initiallyReduce;PSP;17| (235 . |collectUnder|)
+ (241 . |algebraic?|) (247 . |select|) (253 . |removeZero|)
+ (259 . |Zero|) (263 . |degree|) (|Integer|)
+ (269 . |positive?|) (274 . |mainMonomial|) (279 . *)
+ (285 . +) (291 . |tail|) |TSETCAT-;removeZero;PSP;18|
+ (296 . |collectQuasiMonic|)
+ (|Record| (|:| |rnum| 7) (|:| |polnum| 10) (|:| |den| 7))
+ (301 . |remainder|) |TSETCAT-;reduceByQuasiMonic;PSP;19|
+ (|Mapping| 11 10 28) |TSETCAT-;autoReduced?;SMB;20|
+ (307 . |autoReduced?|) |TSETCAT-;stronglyReduced?;SB;21|
+ |TSETCAT-;normalized?;SB;22| (313 . |headReduced?|)
+ |TSETCAT-;headReduced?;SB;23| (319 . |initiallyReduced?|)
+ |TSETCAT-;initiallyReduced?;SB;24| |TSETCAT-;mvar;SV;25|
+ |TSETCAT-;first;SU;26| |TSETCAT-;last;SU;27|
+ (325 . |construct|) |TSETCAT-;rest;SU;28|
+ |TSETCAT-;coerce;SL;29| (|List| 9)
+ |TSETCAT-;algebraicVariables;SL;30|
+ (330 . |algebraicVariables|) (335 . |member?|)
+ |TSETCAT-;algebraic?;VSB;31| |TSETCAT-;select;SVU;32|
+ |TSETCAT-;collectQuasiMonic;2S;33|
+ |TSETCAT-;collectUnder;SVS;34|
+ |TSETCAT-;collectUpper;SVS;35| (341 . |retractIfCan|)
+ |TSETCAT-;construct;LS;36| (346 . |extendIfCan|)
+ |TSETCAT-;retractIfCan;LU;37| |TSETCAT-;extend;SPS;38|
+ (352 . |size|) (356 . |subtractIfCan|) (362 . |coHeight|)
+ (|OutputForm|))
+ '#(|stronglyReduced?| 367 |stronglyReduce| 378 |select| 384
+ |rewriteSetWithReduction| 390 |retractIfCan| 398 |rest|
+ 403 |removeZero| 408 |reduced?| 414 |reduceByQuasiMonic|
+ 421 |reduce| 427 |quasiComponent| 435 |normalized?| 440
+ |mvar| 451 |last| 456 |initials| 461 |initiallyReduced?|
+ 466 |initiallyReduce| 477 |infRittWu?| 483 |headReduced?|
+ 489 |headReduce| 500 |first| 506 |extend| 511 |degree| 517
+ |construct| 522 |collectUpper| 527 |collectUnder| 533
+ |collectQuasiMonic| 539 |coerce| 544 |coHeight| 549
+ |basicSet| 554 |autoReduced?| 567 |algebraicVariables| 573
+ |algebraic?| 578 = 584)
+ 'NIL
+ (CONS (|makeByteWordVec2| 1 'NIL)
+ (CONS '#()
+ (CONS '#()
+ (|makeByteWordVec2| 130
+ '(1 6 11 0 12 1 6 13 0 14 2 10 11 0 0
+ 15 1 6 16 0 17 2 6 11 0 0 18 1 11 0 0
+ 20 1 6 13 0 21 2 10 11 0 0 22 2 10 11
+ 0 0 23 1 10 9 0 24 2 6 0 0 9 25 2 6
+ 11 0 0 26 1 6 28 0 29 1 10 11 0 32 2
+ 28 0 33 0 34 1 10 11 0 35 2 28 11 33
+ 0 36 2 28 0 30 0 37 0 6 0 38 2 6 0 0
+ 10 39 3 6 11 10 0 30 40 2 28 0 0 0 44
+ 1 10 0 0 46 1 10 0 0 47 1 28 0 0 48 1
+ 10 50 0 51 1 6 28 0 53 2 10 11 0 56
+ 57 2 10 11 0 56 59 1 10 0 0 61 2 6 11
+ 10 0 62 2 9 11 0 0 64 2 9 11 0 0 65 2
+ 10 11 0 0 66 1 6 11 0 70 0 10 0 71 4
+ 6 10 10 0 68 30 72 2 10 0 0 0 74 2 10
+ 0 0 0 76 2 10 11 0 0 77 2 10 0 0 0 79
+ 2 10 11 0 0 80 2 6 0 0 9 82 2 6 11 9
+ 0 83 2 6 13 0 9 84 2 6 10 10 0 85 0
+ 10 0 86 2 10 50 0 9 87 1 88 11 0 89 1
+ 10 0 0 90 2 10 0 0 0 91 2 10 0 0 0 92
+ 1 10 0 0 93 1 6 0 0 95 2 6 96 10 0 97
+ 2 6 11 0 99 101 2 10 11 0 56 104 2 10
+ 11 0 56 106 1 6 0 28 111 1 6 114 0
+ 116 2 114 11 9 0 117 1 6 16 28 123 2
+ 6 16 0 10 125 0 9 50 128 2 50 16 0 0
+ 129 1 0 50 0 130 1 0 11 0 102 2 0 11
+ 10 0 60 2 0 10 10 0 75 2 0 13 0 9 119
+ 4 0 28 28 0 68 30 73 1 0 16 28 126 1
+ 0 16 0 112 2 0 10 10 0 94 3 0 11 10 0
+ 30 31 2 0 10 10 0 98 4 0 10 10 0 68
+ 30 69 1 0 54 0 55 1 0 11 0 103 2 0 11
+ 10 0 58 1 0 9 0 108 1 0 13 0 110 1 0
+ 28 0 49 1 0 11 0 107 2 0 11 10 0 67 2
+ 0 10 10 0 81 2 0 11 0 0 27 1 0 11 0
+ 105 2 0 11 10 0 63 2 0 10 10 0 78 1 0
+ 13 0 109 2 0 0 0 10 127 1 0 50 0 52 1
+ 0 0 28 124 2 0 0 0 9 122 2 0 0 0 9
+ 121 1 0 0 0 120 1 0 28 0 113 1 0 50 0
+ 130 3 0 42 28 33 30 45 2 0 42 28 30
+ 43 2 0 11 0 99 100 1 0 114 0 115 2 0
+ 11 9 0 118 2 0 11 0 0 19)))))
+ '|lookupComplete|))
@
\section{domain GTSET GeneralTriangularSet}
<<domain GTSET GeneralTriangularSet>>=
generated by cgit v1.2.3 (git 2.39.1) at 2024-07-05 09:08:03 +0000