
(SDEFUN |NORMMA;PolR2SUP|
        ((|q| (|PolR|)) (% (|SparseUnivariatePolynomial| |PolR|)))
        (SPADCALL (ELT % 10) |q| (QREFELT % 14))) 

(SDEFUN |NORMMA;norm;PolEPolR;2| ((|q| (|PolE|)) (% (|PolR|)))
        (SPROG ((|p| (|SparseUnivariatePolynomial| |PolR|)))
               (SEQ (LETT |p| (|spadConstant| % 17))
                    (SEQ G190
                         (COND
                          ((NULL
                            (SPADCALL |q| (|spadConstant| % 20)
                                      (QREFELT % 22)))
                           (GO G191)))
                         (SEQ
                          (LETT |p|
                                (SPADCALL |p|
                                          (SPADCALL
                                           (SPADCALL (|spadConstant| % 23)
                                                     (SPADCALL |q|
                                                               (QREFELT % 26))
                                                     (QREFELT % 27))
                                           (|NORMMA;PolR2SUP|
                                            (SPADCALL
                                             (SPADCALL |q| (QREFELT % 28))
                                             (QREFELT % 29))
                                            %)
                                           (QREFELT % 30))
                                          (QREFELT % 31)))
                          (EXIT (LETT |q| (SPADCALL |q| (QREFELT % 32)))))
                         NIL (GO G190) G191 (EXIT NIL))
                    (EXIT
                     (SPADCALL (SPADCALL |p| (QREFELT % 16) (QREFELT % 33))
                               (QREFELT % 34)))))) 

(DECLAIM (NOTINLINE |NormInMonogenicAlgebra;|)) 

(DEFUN |NormInMonogenicAlgebra;| (|#1| |#2| |#3| |#4|)
  (SPROG
   ((|pv$| NIL) (% NIL) (|dv$| NIL) (DV$4 NIL) (DV$3 NIL) (DV$2 NIL)
    (DV$1 NIL))
   (PROGN
    (LETT DV$1 (|devaluate| |#1|))
    (LETT DV$2 (|devaluate| |#2|))
    (LETT DV$3 (|devaluate| |#3|))
    (LETT DV$4 (|devaluate| |#4|))
    (LETT |dv$| (LIST '|NormInMonogenicAlgebra| DV$1 DV$2 DV$3 DV$4))
    (LETT % (GETREFV 36))
    (QSETREFV % 0 |dv$|)
    (QSETREFV % 3 (LETT |pv$| (|buildPredVector| 0 0 NIL)))
    (|haddProp| |$ConstructorCache| '|NormInMonogenicAlgebra|
                (LIST DV$1 DV$2 DV$3 DV$4) (CONS 1 %))
    (|stuffDomainSlots| %)
    (QSETREFV % 6 |#1|)
    (QSETREFV % 7 |#2|)
    (QSETREFV % 8 |#3|)
    (QSETREFV % 9 |#4|)
    (SETF |pv$| (QREFELT % 3))
    (QSETREFV % 16 (|NORMMA;PolR2SUP| (SPADCALL (QREFELT % 15)) %))
    %))) 

(DEFUN |NormInMonogenicAlgebra| (&REST #1=#:G6)
  (SPROG NIL
         (PROG (#2=#:G7)
           (RETURN
            (COND
             ((LETT #2#
                    (|lassocShiftWithFunction| (|devaluateList| #1#)
                                               (HGET |$ConstructorCache|
                                                     '|NormInMonogenicAlgebra|)
                                               '|domainEqualList|))
              (|CDRwithIncrement| #2#))
             ('T
              (UNWIND-PROTECT
                  (PROG1 (APPLY (|function| |NormInMonogenicAlgebra;|) #1#)
                    (LETT #2# T))
                (COND
                 ((NOT #2#)
                  (HREM |$ConstructorCache| '|NormInMonogenicAlgebra|)))))))))) 

(MAKEPROP '|NormInMonogenicAlgebra| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
              (|local| |#3|) (|local| |#4|) (0 . |coerce|)
              (|SparseUnivariatePolynomial| 7) (|Mapping| 7 6)
              (|UnivariatePolynomialCategoryFunctions2| 6 7 7 11) (5 . |map|)
              (11 . |definingPolynomial|) '|defpol| (15 . |Zero|) (19 . |Zero|)
              (23 . |Zero|) (27 . |Zero|) (|Boolean|) (31 . ~=) (37 . |One|)
              (41 . |One|) (|NonNegativeInteger|) (45 . |degree|)
              (50 . |monomial|) (56 . |leadingCoefficient|) (61 . |lift|)
              (66 . *) (72 . +) (78 . |reductum|) (83 . |resultant|)
              (89 . |primitivePart|) |NORMMA;norm;PolEPolR;2|)
           '#(|norm| 94) 'NIL
           (CONS (|makeByteWordVec2| 1 '(0))
                 (CONS '#(NIL)
                       (CONS
                        '#((|Join|
                            (|mkCategory| (LIST '((|norm| (|#2| |#4|)) T))
                                          (LIST) NIL NIL)))
                        (|makeByteWordVec2| 35
                                            '(1 7 0 6 10 2 13 11 12 7 14 0 8 7
                                              15 0 11 0 17 0 6 0 18 0 7 0 19 0
                                              9 0 20 2 9 21 0 0 22 0 6 0 23 0 7
                                              0 24 1 9 25 0 26 2 7 0 6 25 27 1
                                              9 8 0 28 1 8 7 0 29 2 11 0 7 0 30
                                              2 11 0 0 0 31 1 9 0 0 32 2 11 7 0
                                              0 33 1 7 0 0 34 1 0 7 9 35)))))
           '|lookupComplete|)) 
