
(SDEFUN |IBPTOOLS;mapUnivariate;MSupR;1|
        ((|f| (|Mapping| K L)) (|poly| (|SparseUnivariatePolynomial| L))
         (% (R)))
        (SPROG ((|ans| (R)))
               (SEQ (LETT |ans| (|spadConstant| % 10))
                    (SEQ G190
                         (COND
                          ((NULL (NULL (SPADCALL |poly| (QREFELT % 13))))
                           (GO G191)))
                         (SEQ
                          (LETT |ans|
                                (SPADCALL |ans|
                                          (SPADCALL
                                           (SPADCALL
                                            (SPADCALL |poly| (QREFELT % 14))
                                            |f|)
                                           (SPADCALL |poly| (QREFELT % 16))
                                           (QREFELT % 17))
                                          (QREFELT % 18)))
                          (EXIT
                           (LETT |poly| (SPADCALL |poly| (QREFELT % 19)))))
                         NIL (GO G190) G191 (EXIT NIL))
                    (EXIT |ans|)))) 

(SDEFUN |IBPTOOLS;mapUnivariate;MRSup;2|
        ((|f| (|Mapping| L K)) (|poly| (R))
         (% (|SparseUnivariatePolynomial| L)))
        (SPROG ((|ans| (|SparseUnivariatePolynomial| L)))
               (SEQ (LETT |ans| (|spadConstant| % 22))
                    (SEQ G190
                         (COND
                          ((NULL (NULL (SPADCALL |poly| (QREFELT % 23))))
                           (GO G191)))
                         (SEQ
                          (LETT |ans|
                                (SPADCALL |ans|
                                          (SPADCALL
                                           (SPADCALL
                                            (SPADCALL |poly| (QREFELT % 24))
                                            |f|)
                                           (SPADCALL |poly| (QREFELT % 25))
                                           (QREFELT % 26))
                                          (QREFELT % 27)))
                          (EXIT
                           (LETT |poly| (SPADCALL |poly| (QREFELT % 28)))))
                         NIL (GO G190) G191 (EXIT NIL))
                    (EXIT |ans|)))) 

(SDEFUN |IBPTOOLS;mapUnivariateIfCan;MSupU;3|
        ((|f| (|Mapping| #1=(|Union| K "failed") L))
         (|poly| (|SparseUnivariatePolynomial| L)) (% (|Union| R "failed")))
        (SPROG ((|ans| (R)) (#2=#:G38 NIL) (|lc| #1#))
               (SEQ
                (EXIT
                 (SEQ (LETT |ans| (|spadConstant| % 10))
                      (SEQ G190
                           (COND
                            ((NULL (NULL (SPADCALL |poly| (QREFELT % 13))))
                             (GO G191)))
                           (SEQ
                            (LETT |lc|
                                  (SPADCALL (SPADCALL |poly| (QREFELT % 14))
                                            |f|))
                            (EXIT
                             (COND
                              ((QEQCAR |lc| 1)
                               (PROGN
                                (LETT #2# (CONS 1 "failed"))
                                (GO #3=#:G37)))
                              ('T
                               (SEQ
                                (LETT |ans|
                                      (SPADCALL |ans|
                                                (SPADCALL (QCDR |lc|)
                                                          (SPADCALL |poly|
                                                                    (QREFELT %
                                                                             16))
                                                          (QREFELT % 17))
                                                (QREFELT % 18)))
                                (EXIT
                                 (LETT |poly|
                                       (SPADCALL |poly| (QREFELT % 19)))))))))
                           NIL (GO G190) G191 (EXIT NIL))
                      (EXIT (CONS 0 |ans|))))
                #3# (EXIT #2#)))) 

(SDEFUN |IBPTOOLS;mapMatrixIfCan;MMU;4|
        ((|f| (|Mapping| (|Union| K "failed") L))
         (|mat| (|Matrix| (|SparseUnivariatePolynomial| L)))
         (% (|Union| (|Matrix| R) "failed")))
        (SPROG
         ((#1=#:G59 NIL) (|poly| (|Union| R "failed")) (#2=#:G61 NIL) (|j| NIL)
          (#3=#:G60 NIL) (|i| NIL) (|matOut| (|Matrix| R))
          (|n| (|NonNegativeInteger|)) (|m| (|NonNegativeInteger|)))
         (SEQ
          (EXIT
           (SEQ (LETT |m| (ANROWS |mat|)) (LETT |n| (ANCOLS |mat|))
                (LETT |matOut| (MAKE_MATRIX1 |m| |n| (|spadConstant| % 10)))
                (SEQ (LETT |i| 1) (LETT #3# |m|) G190
                     (COND ((|greater_SI| |i| #3#) (GO G191)))
                     (SEQ
                      (EXIT
                       (SEQ (LETT |j| 1) (LETT #2# |n|) G190
                            (COND ((|greater_SI| |j| #2#) (GO G191)))
                            (SEQ
                             (LETT |poly|
                                   (SPADCALL |f| (QAREF2O |mat| |i| |j| 1 1)
                                             (QREFELT % 34)))
                             (EXIT
                              (COND
                               ((QEQCAR |poly| 1)
                                (PROGN
                                 (LETT #1# (CONS 1 "failed"))
                                 (GO #4=#:G58)))
                               ('T
                                (QSETAREF2O |matOut| |i| |j| (QCDR |poly|) 1
                                            1)))))
                            (LETT |j| (|inc_SI| |j|)) (GO G190) G191
                            (EXIT NIL))))
                     (LETT |i| (|inc_SI| |i|)) (GO G190) G191 (EXIT NIL))
                (EXIT (CONS 0 |matOut|))))
          #4# (EXIT #1#)))) 

(SDEFUN |IBPTOOLS;mapBivariate;MUPSup;5|
        ((|f| (|Mapping| L K)) (|poly| (UP))
         (% (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| L))))
        (SPROG
         ((|ans|
           (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| L))))
         (SEQ (LETT |ans| (|spadConstant| % 40))
              (SEQ G190
                   (COND
                    ((NULL (NULL (SPADCALL |poly| (QREFELT % 41)))) (GO G191)))
                   (SEQ
                    (LETT |ans|
                          (SPADCALL |ans|
                                    (SPADCALL
                                     (SPADCALL |f|
                                               (SPADCALL |poly| (QREFELT % 42))
                                               (QREFELT % 30))
                                     (SPADCALL |poly| (QREFELT % 43))
                                     (QREFELT % 44))
                                    (QREFELT % 45)))
                    (EXIT (LETT |poly| (SPADCALL |poly| (QREFELT % 46)))))
                   NIL (GO G190) G191 (EXIT NIL))
              (EXIT |ans|)))) 

(DECLAIM (NOTINLINE |IntegralBasisPolynomialTools;|)) 

(DEFUN |IntegralBasisPolynomialTools;| (|#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 '|IntegralBasisPolynomialTools| DV$1 DV$2 DV$3 DV$4))
    (LETT % (GETREFV 48))
    (QSETREFV % 0 |dv$|)
    (QSETREFV % 3 (LETT |pv$| (|buildPredVector| 0 0 NIL)))
    (|haddProp| |$ConstructorCache| '|IntegralBasisPolynomialTools|
                (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))
    %))) 

(DEFUN |IntegralBasisPolynomialTools| (&REST #1=#:G69)
  (SPROG NIL
         (PROG (#2=#:G70)
           (RETURN
            (COND
             ((LETT #2#
                    (|lassocShiftWithFunction| (|devaluateList| #1#)
                                               (HGET |$ConstructorCache|
                                                     '|IntegralBasisPolynomialTools|)
                                               '|domainEqualList|))
              (|CDRwithIncrement| #2#))
             ('T
              (UNWIND-PROTECT
                  (PROG1
                      (APPLY (|function| |IntegralBasisPolynomialTools;|) #1#)
                    (LETT #2# T))
                (COND
                 ((NOT #2#)
                  (HREM |$ConstructorCache|
                        '|IntegralBasisPolynomialTools|)))))))))) 

(MAKEPROP '|IntegralBasisPolynomialTools| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL NIL (|local| |#1|) (|local| |#2|)
              (|local| |#3|) (|local| |#4|) (0 . |Zero|) (|Boolean|)
              (|SparseUnivariatePolynomial| 9) (4 . |zero?|)
              (9 . |leadingCoefficient|) (|NonNegativeInteger|) (14 . |degree|)
              (19 . |monomial|) (25 . +) (31 . |reductum|) (|Mapping| 6 9)
              |IBPTOOLS;mapUnivariate;MSupR;1| (36 . |Zero|) (40 . |zero?|)
              (45 . |leadingCoefficient|) (50 . |degree|) (55 . |monomial|)
              (61 . +) (67 . |reductum|) (|Mapping| 9 6)
              |IBPTOOLS;mapUnivariate;MRSup;2| (|Union| 7 '#1="failed")
              (|Union| 6 '#2="failed") (|Mapping| 32 9)
              |IBPTOOLS;mapUnivariateIfCan;MSupU;3| (72 . |Zero|)
              (|Union| (|Matrix| 7) '#3="failed") (|Matrix| 12)
              |IBPTOOLS;mapMatrixIfCan;MMU;4| (|SparseUnivariatePolynomial| 12)
              (76 . |Zero|) (80 . |zero?|) (85 . |leadingCoefficient|)
              (90 . |degree|) (95 . |monomial|) (101 . +) (107 . |reductum|)
              |IBPTOOLS;mapBivariate;MUPSup;5|)
           '#(|mapUnivariateIfCan| 112 |mapUnivariate| 118 |mapMatrixIfCan| 130
              |mapBivariate| 136)
           'NIL
           (CONS (|makeByteWordVec2| 1 '(0))
                 (CONS '#(NIL)
                       (CONS
                        '#((|Join|
                            (|mkCategory|
                             (LIST
                              '((|mapUnivariate|
                                 (|#2| (|Mapping| |#1| |#4|)
                                  (|SparseUnivariatePolynomial| |#4|)))
                                T)
                              '((|mapUnivariate|
                                 ((|SparseUnivariatePolynomial| |#4|)
                                  (|Mapping| |#4| |#1|) |#2|))
                                T)
                              '((|mapUnivariateIfCan|
                                 ((|Union| |#2| #1#)
                                  (|Mapping| (|Union| |#1| #2#) |#4|)
                                  (|SparseUnivariatePolynomial| |#4|)))
                                T)
                              '((|mapMatrixIfCan|
                                 ((|Union| (|Matrix| |#2|) #3#)
                                  (|Mapping| (|Union| |#1| "failed") |#4|)
                                  (|Matrix|
                                   (|SparseUnivariatePolynomial| |#4|))))
                                T)
                              '((|mapBivariate|
                                 ((|SparseUnivariatePolynomial|
                                   (|SparseUnivariatePolynomial| |#4|))
                                  (|Mapping| |#4| |#1|) |#3|))
                                T))
                             (LIST) NIL NIL)))
                        (|makeByteWordVec2| 47
                                            '(0 7 0 10 1 12 11 0 13 1 12 9 0 14
                                              1 12 15 0 16 2 7 0 6 15 17 2 7 0
                                              0 0 18 1 12 0 0 19 0 12 0 22 1 7
                                              11 0 23 1 7 6 0 24 1 7 15 0 25 2
                                              12 0 9 15 26 2 12 0 0 0 27 1 7 0
                                              0 28 0 6 0 35 0 39 0 40 1 8 11 0
                                              41 1 8 7 0 42 1 8 15 0 43 2 39 0
                                              12 15 44 2 39 0 0 0 45 1 8 0 0 46
                                              2 0 31 33 12 34 2 0 7 20 12 21 2
                                              0 12 29 7 30 2 0 36 33 37 38 2 0
                                              39 29 8 47)))))
           '|lookupComplete|)) 
