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AADV Arithmetic advance.
ABS Absolute value.
ACLOCK Clock minus garbage collection time.
ADDTO Add array to array.
ADV Advance.
ADV2 Advance 2.
ADV3 Advance 3.
ADV4 Advance 4.
AFCOMP Algebraic number field comparison.
AFCR Algebraic number field element convert representation.
AFDIF Algebraic number field element difference.
AFDWRITE Algebraic number field, decimal write.
AFFINT Algebraic number field element from integer.
AFFRN Algebraic number field element from rational number.
AFGEN Algebraic number field generator.
AFICR Algebraic number field element inverse convert
representation.
AFINV Algebraic number field element inverse.
AFNEG Algebraic number field negation.
AFPAFP Algebraic number field polynomial algebraic number field
element product.
AFPAFQ Algebraic number field polynomial algebraic number field
element quotient.
AFPCMV Algebraic number field polynomial composition in main
variable.
AFPCR Algebraic number field polynomial convert representation.
AFPDIF Algebraic number field polynomial difference.
AFPDMV Algebraic number field polynomial derivative, main
variable.
AFPEMV Algebraic number field polynomial evaluation of main
variable.
AFPEV Algebraic number field polynomial evaluation.
AFPFIP Algebraic number field polynomial from integral polynomial.
AFPFRP Algebraic number field polynomial from rational polynomial.
AFPHIIR Algebraic field polynomial hardware interval isolation and
refinement.
AFPHIP Algebraic field polynomial to hardware interval polynomial.
AFPICR Algebraic number field polynomial inverse convert
representation.
AFPINT Algebraic number field polynomial integration.
AFPME Algebraic number field polynomial multiple evaluation.
AFPMON Algebraic number field polynomial monic.
AFPNEG Algebraic number field polynomial negative.
AFPNIP Algebraic number field polynomial normalize to integral
polynomial.
AFPNORM Algebraic number field polynomial norm.
AFPPR Algebraic number field polynomial product.
AFPQR Algebraic number field polynomial quotient and remainder.
AFPROD Algebraic number field element product.
AFPSIP Algebraic field polynomial to software interval polynomial.
K Algebraic field polynomial software interval refinement.
AFPSUM Algebraic number field polynomial sum.
AFPWRITE Algebraic number field polynomial write.
AFQ Algebraic number field quotient.
AFSIGN Algebraic number field sign.
AFSUM Algebraic number field element sum.
AFUPBRI Algebraic number field univariate polynomial basis real
root isolation.
AFUPCSFB Algebraic number field univariate polynomial coarsest
squarefree basis.
AFUPFAC Algebraic number field univariate polynomial factorization.
AFUPFMRC Algebraic number field univariate polynomial from modular
residues, with comparison.
AFUPFRPT Algebraic number field univariate polynomial fast
relative-primality test.
AFUPGC Algebraic number field univariate polynomial greatest
common divisor and cofactors.
AFUPGC1 Algebraic number field univariate polynomial greatest
common divisor and cofactors, degree 1.
AFUPGS Algebraic number field univariate polynomial greatest
squarefree divisor.
AFUPHIBRI Algebraic number field univariate polynomial hardware
interval basis real root isolation.
AFUPIIR Algebraic number field polynomial isolating interval
refinement.
AFUPIIWS Algebraic number field univariate polynomial isolating
intervals weakly disjoint to strongly disjoint.
AFUPMPR Algebraic number field univariate polynomial minimal
polynomial of a real root.
AFUPQR Algebraic number field univariate polynomial quotient and
remainder.
AFUPRB Algebraic number field univariate polynomial root bound.
AFUPRICL Algebraic number field univariate polynomial real root
isolation, Collins-Loos algorithm.
AFUPRICS Algebraic univariate polynomial real root isolation,
coefficient sign variation method.
AFUPRII Algebraic number field univariate polynomial real root
isolation induction.
AFUPRL Algebraic number field univariate polynomial, root of a
linear polynomial.
AFUPRLS Algebraic number field univariate polynomial real root list
separation.
AFUPRRI Algebraic number field univariate polynomial relative real
root isolation.
AFUPRRS Algebraic number field univariate polynomial real root
separation.
AFUPSF Algebraic number field univariate polynomial squarefree
factorization.
AFUPSFBA Algebraic number field univariate polynomial squarefree
basis augmentation.
AFUPSFN Algebraic number field univariate polynomial squarefree
norm.
AFUPSIBRI Algebraic number field univariate polynomial software
interval basis real root isolation.
AFUPSR Algebraic number field univariate polynomial, sign at a
rational point.
AFUPVAR Algebraic number field univariate polynomial variations.
AFUPWRITE Algebraic number field univariate polynomial write.
AFUSPSFB Algebraic number field univariate squarefree polynomial
squarefree basis.
AFWRITE Algebraic field element write.
AGIBL Array Gaussian integer bit length.
AGICOPY Array Gaussian integer copy.
AGIDP2 Array Gaussian integer division by a power of 2.
D Array Gaussian integer greatest common divisor.
D Array Gaussian integer greatest common divisor,
approximative Euclidean.
AGIGCDW Array Gaussian integer greatest common divisor, Weilert's
method.
AGIMD Array Gaussian integer minimal difference.
AGIMP2 Array Gaussian integer multiplication by a power of 2.
AGIMU Array Gaussian integer multiplication by a unit.
AGINC Array Gaussian integer norm comparison.
AGINORM Array Gaussian integer norm.
AGIPROD Array Gaussian integer product.
AGIQHQ Array Gaussian integer quadrant and half quadrant.
AGIRP Array Gaussian integer reduced part.
AGIRSUM Array Gaussian integer rotated sum.
AGISUM Array Gaussian integer sum.
AGITR Array Gaussian integer truncate and round.
AGIWRITE Array Gaussian integer write.
t Array Gaussian integer zero.
AICOMP Array integer comparison.
AICOPY Array integer copy.
AIDP2 Array integer division by a power of 2.
AIFAN Algebraic integer from algebraic number.
AII Array integer to integer.
AIMP2 Array integer multiplication by a power of 2.
AINQ Array integer nearest quotient.
AIPROD Array integer product.
AIQR Array integer quotient and remainder.
AISUM Array integer sum.
AITR Array integer truncate and round.
AITRS Array integer truncate and round, small result.
AIWRITE Array integer write.
t Array integer zero.
ALSIL Attach labels to standard isolation list.
AMLM Array matrix to list matrix.
AMPDMV Algebraic module polynomial derivative, main variable.
AMPSAFP Algebraic module polynomial similar to algebraic field
polynomial.
AMSIGN Algebraic module sign.
AMSIGNIR Algebraic module sign, interval refinement.
AMUPBES Algebraic module univariate polynomial, binary rational
evaluation of sign.
AMUPBHT Algebraic module univariate polynomial binary homothetic
transformation.
AMUPIIR Algebraic module polynomial isolating interval refinement.
AMUPIIWS Algebraic module univariate polynomial isolating intervals
weakly disjoint to strongly disjoint.
AMUPMPR Algebraic module univariate polynomial minimal polynomial
of a real root.
AMUPNT Algebraic module univariate polynomial negative
transformation.
AMUPRBH Algebraic module univariate polynomial root bound and
homothetic transformation.
AMUPRICS Algebraic module univariate polynomial real root isolation,
coefficient sign variation method.
AMUPRICSW Algebraic module univariate polynomial real root isolation,
coefficient sign variation method, weakly disjoint
intervals.
AMUPRINCS Algebraic module univariate polynomial root isolation,
normalized coefficient sign variation method.
AMUPRLS Algebraic module univariate polynomial real root list
separation.
AMUPRRS Algebraic module univariate polynomial real root
separation.
AMUPSR Algebraic module univariate polynomial, sign at a rational
point.
AMUPTR Algebraic module univariate polynomial translation.
AMUPTR1 Algebraic module univariate polynomial translation by 1.
AMUPVARIR Algebraic module univariate polynomial variations, interval
refinement.
ANDWRITE Algebraic number decimal write.
ANFAF Algebraic number from algebraic number field element.
ANHI Algebraic number to hardware interval.
ANIIPE Algebraic number isolating interval for a primitive
element.
ANPEDE Algebraic number primitive element for a double extension.
ANPROD Algebraic number product.
ANR Algebraic number refinement.
ANREPE Algebraic number represent element of a primitive
extension.
ANSI Algebraic number to software interval.
ANSUM Algebraic number sum.
AREAD Atom read.
ARGSACLIB Process the command line arguments.
ARIE Array remove indexed elements.
ASSPR Assignment problem.
AWCOPY Array of words copy.
AWRITE Atom write.
BDGCD Binary digit greatest common divisor.
BEGINSACLIB Begin SACLIB.
BERNOULLINUM Bernoulli numbers via tangent numbers.
BERNOULLIPOL Bernoulli polynomial. The n-th Bernoulli polynomial is
computed.
BITRAN Bit, random.
BKSP Backspace.
BRILBRI Binary rational interval to logarithmic binary rational
interval.
CCONC Constructive concatenation.
CHEBY Chebyshev polynomial.
CINV Constructive inverse.
CLEAR Clear array.
CLOCK Clock.
CLOUT Character list out.
COMP Composition.
COMP2 Composition 2.
COMP3 Composition 3.
COMP4 Composition 4.
CONC Concatenation.
COPYTO Copy array to array.
CPLEXN Cartesian product, lexicographically next.
CREAD Character read.
CREADB Character read.
c Characteristic set from array of members.
CSFPAR Characteristic set from partition.
CSFS Characteristic set from set.
CSINT Characteristic set intersection.
CSSUB Characteristic set subset.
CSUN Characteristic set union.
CTMI Create table of modular inverses.
CWRITE Character write.
DAND Digit and.
DDPCC Double-digit partial cosequence calculation.
DDRPCC Double-digit restricted partial cosequence calculation.
DEGCD Digit extended greatest common divisor.
DGCD Digit greatest common divisor.
DIELOC Display Input Error Location.
DIGIT Digit.
DIIPREAD Distributive integral polynomial read.
DIIPWRITE Distributive integral polynomial write.
DIPDEG Distributive polynomial degree.
DIPFP Distributive polynomial from polynomial.
DIPINS Distributive polynomial, insert term.
DIRPREAD Distributive rational polynomial read.
DIRPWRITE Distributive rational polynomial write.
DLINIT Discrete logarithm initialization of tables.
DLINV Discrete logarithm inverse.
DLNEG Discrete logarithm negative.
DLOG2 Digit logarithm, base 2.
DLPROD Discrete logarithm product.
DLSUM Discrete logarithm sum.
DMPPRD Dense modular polynomial product.
DMPSUM Dense modular polynomial sum.
DMUPNR Dense modular univariate polynomial natural remainder.
DNIMP Digit non-implication.
DNOT Digit not.
DOR Digit or.
DPCC Digit partial cosequence calculation.
DPFP Dense polynomial from polynomial.
DPGEN Digit prime generator.
DPR Digit product.
DPRNN Digit product.
DQR Digit quotient and remainder.
DRAN Digit, random.
DRANN Digit, random non-negative.
DRPCC Digit restricted partial cosequence calculation.
DSMC Digit solution of modular congruence.
DSQRTF Digit square root function.
DVCMP Degree vector comparison.
ENDSACLIB End saclib.
EQUAL Equal.
EVEN EVEN.
EXPF Exponential function.
EXTENT Extent.
FAIL Failure handler.
FCOMP Floating point comparison.
FCOPY Floating point copy.
FDIF Floating-point difference.
FILINE Flush the input stream line.
FIRST First.
FIRST2 First 2.
FIRST3 First 3.
FIRST4 First 4.
FIRST5 First 5.
FIRST6 First 6.
FLBRN Floating point to logarithmic binary rational number
conversion.
FOURTH Fourth.
FPCATCH Floating-point catch.
FPHAND Floating-point handler.
FPROD Floating-point product.
FPROD1 Floating-point product, precision 1.
FPROD2 Floating-point product, precision 2.
FPROD21 Floating-point product, precision 2 by precision 1.
FQUOT Floating-point quotient.
FRAPCR Finite ring array polynomial convert representation.
FRAPFMD Finite ring array polynomial from modular digit.
FRAPFREE Finite ring array polynomial free memory.
FRAPGET Finite ring array polynomial get memory.
FRAPMON Finite ring array polynomial monic.
FRAPREM Finite ring array polynomial remainder.
FREEARRAY Free array.
FREEMATRIX Free matrix.
FREINV Finite ring element inverse.
FREPROD Finite ring element product.
FRESL Fermat residue list.
FRLSM Fermat residue list, single modulus.
FRUPCR Finite ring univariate polynomial convert representation.
FRUPGCD Finite ring univariate polynomial gcd.
FSUM Floating-point sum.
FSUMDEOS1 Floating-point sum, different exponents, opposite signs,
exponent difference of 1.
FSUMDEOS2 Floating-point sum, different exponents, opposite signs,
exponent difference of 2 or more.
FSUMDESS Floating-point sum, different exponents, same signs.
FSUMSEOS Floating-point sum, same exponents, opposite signs.
FSUMSESS Floating-point sum, same exponents, same signs.
GC Garbage collection entry-point.
GCA2PTR Convert garbage collected array handle to C pointer.
GCAFREE Garbage collected array memory deallocation.
GCAGET Garbage collected array get element.
GCAMALLOC Garbage collected array memory allocation.
GCASET Garbage collected array set element.
GCATL GCA to list.
GCGLOBAL Declare a global variable to the Garbage Collector.
GCSI Garbage collection, system independent.
GDPGEN Gaussian digit prime generator.
GETAHIA Get array of hardware interval arrays.
GETARRAY Get array.
GETHIPARRAY Get hardware interval polynomial array.
GETMATRIX Get matrix.
B Gaussian integer to array Gaussian integer.
GICONJ Gaussian integer conjugation.
GIDIF Gaussian integer difference.
GIFP Gaussian integer from parts.
b Gaussian integer first quadrant associate.
GIGCD Gaussian integer greatest common divisor.
GIHQ Gaussian integer half quadrant.
GIMS Gaussian integer minimal sum.
GINEG Gaussian integer negation.
GINORM Gaussian integer norm.
q Gaussian integer nearest quotient.
GINQR Gaussian integer nearest quotient and remainder.
GIPGEN Gaussian integer prime generator.
GIPROD Gaussian integer product.
GIRP Gaussian integer reduced part.
GISUM Gaussian integer sum.
GIWRITE Gaussian integer write.
GREAD C integer read.
GWRITE C integer write.
HEXP Hardware exponent.
HIACC Hardware interval accuracy.
HIDWRITE Hardware interval decimal write.
HILBRI Hardware interval to logarithmic binary rational interval.
HIPBHT Hardware interval polynomial binary homothetic
transformation.
HIPCHT Hardware interval polynomial circle to half-plane
transformation.
HIPCOPY Hardware interval polynomial copy.
HIPDWRITE Hardware interval polynomial decimal write.
HIPFES Hardware interval polynomial floating point evaluation of
sign.
HIPIEVAL Hardware interval polynomial interval evaluation.
HIPIR Hardware interval polynomial interval refinement.
HIPLWRITE Hardware interval polynomial logarithmic write.
HIPNEGT Hardware interval polynomial negative transformation.
HIPPRB Hardware interval polynomial positive root bound.
HIPROD Hardware interval product.
HIPRRID Hardware interval polynomial real root isolation, Descartes
method.
HIPRRISD Hardware interval polynomial real root isolation, standard
interval, Descartes' method.
HIPRT Hardware interval polynomial reciprocal transformation.
HIPSV Hardware interval polynomial sign variations.
HIPTR1 Hardware interval polynomial translation by 1.
HIPVCHT Hardware interval polynomial, variations after circle to
half-plane transformation.
HIQUOT Hardware interval quotient.
HISIGN Hardware interval sign.
HISUM Hardware interval sum.
HSIGN Hardware sign.
IABSF Integer absolute value function.
IACOMPA Integer absolute value comparison, array version.
B Integer to array integer.
IBCIND Integer binomial coefficient induction.
IBCOEF Integer binomial coefficient.
IBCOEFFS Integer binomial coefficients.
IBCPS Integer binomial coefficient partial sum.
IBPPOL Integral bivariate polynomial points on line.
IBPPOS Integral bivariate polynomial points on sections.
ICOMP Integer comparison.
ICRAND Integer, controlled random.
IDEGCD Integer doubly extended greatest common divisor algorithm.
IDENTMAT Identity matrix.
IDEQ Integer-digit exact quotient.
IDIF Integer difference.
IDIFA Integer difference, array version.
IDIPR2 Integer digit inner product, length 2.
IDLCOMB Integer double linear combination.
IDP2 Integer division by power of 2.
IDPR Integer-digit product.
IDQ Integer-digit quotient.
IDQR Integer-digit quotient and remainder.
IDQRA Integer-digit quotient and remainder, array version.
IDREM Integer-digit remainder.
IEAS Integer Euclidean algorithm step.
IEEEDWRITE IEEE decimal write.
IEEELBRN IEEE to logarithmic binary rational number conversion.
IEEENEIGH IEEE neighbor.
IEEEROUND IEEE round.
IEEEWRITE IEEE write.
IEGCD Integer extended greatest common divisor algorithm.
IEQ Integer exact quotient.
IEVEN Integer even.
IEXP Integer exponentiation.
IF Integer to floating.
IFACT Integer factorization.
IFACTL Integer factorial.
IFATL Integer from array to list.
IFCL2 Integer, floor and ceiling, logarithm, base 2.
IFEC Integer to floating, exact conversion.
IFLTA Integer from list to array.
IGCD Integer greatest common divisor.
IGCDCF Integer greatest common divisor and cofactors.
IHDREM Integer half-digit remainder.
IHEAS Integer half-extended Euclidean algorithm step.
IHEGCD Integer half-extended greatest common divisor.
IHI Integer to hardware interval.
IIC Isolating interval conversion.
IIEEE Integer to IEEE double.
IIEEET Integer to IEEE double - truncation.
ILBRN Integer to logarithmic binary rational number.
ILCM Integer least common multiple.
ILCOMB Integer linear combination.
ILENGTH Integer length.
ILOG2 Integer logarithm, base 2.
ILOG2A Integer logarithm, base 2, array version.
ILOGB Integer logarithm, base BETA.
ILPDS Integer large prime divisor search.
ILSA Integer left shift in array.
ILWORD Integer leading word.
ILWORDS Integer leading words.
ILWRITE Integer list write.
IMAX Integer maximum.
IMIN Integer minimum.
IMP2 Integer multiplication by power of 2.
IMPB Integer multiplication by power of BETA.
IMPBAA Integer multiply by power of BETA and add to array.
IMPDS Integer medium prime divisor search.
INEG Integer negation.
INEGA Integer negation, array version.
INFOSACLIB Write out usage information for SACLIB.
q Integer nearest quotient.
INQR Integer nearest quotient and remainder.
INSET Is the element in the set?
INV Inverse.
INVPERM Invert permutation.
IODD Integer odd.
IORD2 Integer, order of 2.
IPABS Integral polynomial absolute value.
IPAFME Integral polynomial, algebraic number field multiple
evaluation.
IPBEILV Integral polynomial binary rational evaluation, integral
polynomial result, leading variable.
IPBEZM Integral polynomial Bezout matrix.
IPBHT Integral polynomial binary homothetic transformation.
IPBHTLV Integral polynomial binary homothetic transformation,
leading variable.
IPBHTMV Integral polynomial binary homothetic transformation, main
variable.
IPBREI Integral polynomial binary rational evaluation, integral
polynomial result.
IPC Integral polynomial content.
IPCA Integral polynomial coefficient analysis.
IPCEVP Integral polynomial, choice of evaluation points.
IPCONST Integral polynomial constant.
IPCPP Integral polynomial content and primitive part.
IPCRA Integral polynomial chinese remainder algorithm.
IPCSFB Integral polynomial coarsest squarefree basis.
IPDER Integral polynomial derivative.
IPDIF Integral polynomial difference.
IPDMV Integral polynomial derivative, main variable.
IPDQNR Integral polynomial digit quotient and non-negative
remainder.
IPDQR Integral polynomial digit quotient and remainder.
IPDSCR Integral polynomial discriminant.
IPDSCRBEZ Integral polynomial discriminant, Bezout method.
IPDWRITE Integral polynomial distributive write.
IPEMV Integral polynomial evaluation of main variable.
IPEQ Integral polynomial exact quotient.
IPEVAL Integral polynomial evaluation.
IPEXP Integral polynomial exponentiation.
IPEXPREAD Integral polynomial expression read.
IPEXPREADR Integral polynomial expression read, remove terminating
character.
IPFAC Integral polynomial factorization.
IPFACTREAD Integral polynomial factor read.
IPFCB Integral polynomial factor coefficient bound.
IPFLC Integral polynomial factor list combine.
IPFRP Integral polynomial from rational polynomial.
IPFSD Integral polynomial factorization, second derivative.
IPFSFB Integral polynomial finest squarefree basis.
IPGCDC Integral polynomial greatest common divisor and cofactors.
IPGFCB Integral polynomial Gelfond factor coefficient bound.
IPGSUB Integral polynomial general substitution.
IPGTDRAN Integral polynomial, guaranteed total degree, random.
IPHDMV Integral polynomial higher derivative, main variable.
IPIC Integral polynomial integer content.
IPICPP Integral polynomial integer content and primitive part.
IPICS Integral polynomial integer content subroutine.
IPIHOM Integral polynomial mod ideal homomorphism.
IPIIRB Integral polynomial isolating interval refinement -
bisection.
IPIIS Integral polynomial isolating interval separation.
IPIISS Integral polynomial isolating interval search using a Sturm
sequence.
IPIIWS Integral polynomial isolating intervals weakly disjoint to
strongly disjoint.
IPINT Integral polynomial integration.
IPIP Integral polynomial integer product.
IPIPP Integral polynomial integer primitive part.
IPIPR Integral polynomial mod ideal product.
IPIQ Integral polynomial integer quotient.
IPIQH Integral polynomial mod ideal quadratic hensel lemma.
IPLCPP Integral polynomial list of contents and primitive parts.
IPLEV Integral polynomial list evaluation of signs. Inputs S : a
list (A_1,A_2,...,A_t) of univariate integral polynomials.
a : a binary rational number.
IPLRRI Integral polynomial list real root isolation.
IPLSEVAL Integral polynomial list sign evaluation, logarithmic.
IPLSILM Integral polynomial labeled standard isolation list merge.
IPMAXN Integral polynomial maximum norm.
IPMONFACT Integral polynomial monomial factors.
IPNEG Integral polynomial negative.
IPNT Integral polynomial negative transformation.
IPONE Integral polynomial one.
IPOWER Integer power.
IPP2P Integral polynomial power of 2 product.
IPPFAC2 Integral primitive polynomial factorization, degree 2.
IPPGSD Integral polynomial primitive greatest squarefree divisor.
IPPNPRS Integral polynomial primitive negative polynomial remainder
sequence.
IPPOWREAD Integral polynomial power read.
IPPP Integral polynomial primitive part.
IPPROD Integral polynomial product.
IPPSC Integral polynomial principal subresultant coefficients.
IPPSR Integral polynomial pseudo-remainder.
IPPVED Integral polynomial powers-of-variables exact divisors.
IPQ Integral polynomial quotient.
IPQR Integral polynomial quotient and remainder.
IPRAN Integral polynomial, random.
IPRCH Integral polynomial real root calculation, high precision.
IPRCHS Integral polynomial real root calculation, high-precision
special.
IPRCN1 Integral polynomial real root calculation, 1 root.
IPRCNP Integral polynomial real root calculation, Newton method
preparation.
IPREAD Integral polynomial read.
IPRES Integral polynomial resultant.
IPRESBEZ Integral polynomial resultant, Bezout.
IPRESPRS Integral polynomial resultant, polynomial remainder
sequence method.
IPRICL Integral polynomial real root isolation, Collins-Loos
algorithm.
IPRIM Integral polynomial real root isolation, modified Uspensky
method.
IPRIMO Integral polynomial real root isolation, modified Uspensky
method, open interval.
IPRIMS Integral polynomial real root isolation, modified Uspensky
method, standard interval.
IPRIMU Integral polynomial real root isolation, modified Uspensky
method, unit interval.
IPRIMW Integral polynomial real root isolation, modified Uspensky
method, weakly disjoint intervals.
IPRIP Integral polynomial real and imaginary parts.
IPRIST Integral polynomial real root isolation using a Sturm
sequence. Inputs A : in Z[X], non-zero, squarefree.
IPRNME Integral polynomial, rational number multiple evaluation.
IPROD Integer product.
IPROD2X2 Integer product - 2x2-multiplication.
IPROD3X2 Integer product - 3x2-multiplication.
IPROD3X3 Integer product - 3x3-multiplication.
IPRODA Integer product - array representation. Classical
algorithm.
IPRODAP Integer product - array multiplication in place.
IPRPRS Integral polynomial reduced polynomial remainder sequence.
IPRRID Integral polynomial real root isolation, Descartes method.
IPRRII Integral polynomial real root isolation induction.
IPRRIRDB Integral polynomial real root isolation and refinement,
Descartes, bisection.
IPRRIRSB Integral polynomial real root isolation and refinement,
Sturm, bisection.
IPRRIS Integral polynomial real root isolation, Sturm method.
Inputs A : in Z[x], non-zero, squarefree.
IPRRISD Integral polynomial real root isolation, standard interval,
Descartes method.
IPRRISI Integral polynomial real root isolation in standard
interval.
IPRRISS Integral polynomial real root isolation, standard interval,
Sturm method.
IPRRLS Integral polynomial real root list separation.
IPRRRI Integral polynomial relative real root isolation.
IPRRS Integral polynomial real root separation.
IPSBLSIL Integral polynomial squarefree basis labeled standard
isolation list.
IPSBLSSIL Integral polynomial squarefree basis labeled strong
standard isolation list.
IPSCPP Integral polynomial sign, content, and primitive part.
IPSF Integral polynomial squarefree factorization.
IPSFBA Integral polynomial squarefree basis augmentation.
IPSFSD Integral squarefree factorization, second derivative.
IPSIFI Integral polynomial standard isolating interval from
isolating interval.
IPSIGN Integral polynomial sign.
IPSIP Integral polynomial to soft-float interval polynomial.
IPSMV Integral polynomial substitution for main variable.
IPSPRS Integral polynomial subresultant polynomial remainder
sequence.
IPSQRT Integral polynomial square root.
IPSRM Integral polynomial strong real root isolation, modified
Uspensky method.
IPSRMS Integral polynomial strong real root isolation, modified
Uspensky method, standard interval.
IPSRP Integral polynomial similar to rational polynomial.
IPSTDRAN Integral polynomial, specified total degree, random.
IPSUB Integral polynomial substitution.
IPSUM Integral polynomial sum.
IPSUMN Integral polynomial sum norm.
IPTERMREAD Integral polynomial term read.
IPTPR Integral polynomial truncated product.
IPTR Integral polynomial translation, specified variable.
IPTR1 Integral polynomial translation by one, specified variable.
IPTR1LV Integral polynomial translation by one, leading variable.
IPTRAN Integral polynomial translation.
IPTRLV Integral polynomial translation, leading variable.
IPTRMV Integral polynomial translation, main variable.
IPTRUN Integral polynomial truncation.
IPVCHT Integral polynomial variations after circle to half-plane
transformation.
IPVCHTP Integral polynomial variations after circle to half-plane
transformation, partial count.
IPVDEG12 Integral polynomial variable of degree 1 or 2.
IPWRITE Integral polynomial write.
IQ Integer quotient.
IQR Integer quotient and remainder.
IQRA Integer quotient and remainder, array version.
IRAND Integer, random.
IREAD Integer read.
IREM Integer remainder.
IRLSA Integer restricted left shift in array.
IROOT Integer root.
ISATOM Test for atom.
ISCSELT Test for characteristic set membership.
ISEM Integer sign, exponent and mantissa.
ISFPF Integral squarefree polynomial factorization.
ISFPIR Integral squarefree polynomial isolating interval
refinement.
ISGCA Test for GCA handle.
ISI Integer to software interval.
ISIGNA Integer sign function, array version.
ISIGNF Integer sign function.
ISLCOMB Integer special linear combination.
ISLIST Is list.
ISMC Integer solution of modular congruence.
ISNIL Test for empty list.
ISOBJECT Test for object.
ISPD Integer small prime divisors.
ISPFAC2 Integral squarefree polynomial factorization, degree 2.
ISPROD Integer special short product.
ISPSFB Integral squarefree polynomial squarefree basis.
ISPT Integer selfridge primality test.
ISQRT Integer square root.
ISSUBSET Is subset?
ISUM Integer sum.
ISZERO Test for zero.
ITRUNC Integer truncation.
IUPBEI Integral univariate polynomial binary rational evaluation.
Using arrays.
IUPBES Integral univariate polynomial binary rational evaluation
of sign.
IUPBHT Integral univariate polynomial binary homothetic
transformation.
IUPBRE Integral univariate polynomial binary rational evaluation.
IUPBREA Integral univariate polynomial binary rational evaluation -
array version.
IUPBRES Integral univariate polynomial binary rational evaluation
of sign.
IUPBREV Integral univariate polynomial binary rational evaluation.
IUPCHT Integral univariate polynomial circle to half-plane
transformation.
IUPEFD Integral univariate polynomial early factor detection.
IUPENF Integral univariate polynomial, estimate number of factors.
IUPEVAL Integral univariate polynomial evaluation.
IUPFAC Integral univariate polynomial factorization.
IUPFCT Integral univariate polynomial factor combination test.
IUPFT Integral univariate polynomial factor test.
IUPFT2 Integral univariate polynomial factor test, degree at most
2.
IUPHIP Integral univariate polynomial to hardware interval
polynomial.
IUPHLEFD Integral univariate polynomial Hensel lifting with early
factor detection.
IUPIHT Integral univariate polynomial integer homothetic
transformation.
IUPIIR Integral univariate polynomial isolating interval
refinement.
IUPILHS Integral univariate polynomial initial linear Hensel step.
IUPLB Integral univariate polynomial lifting bound.
IUPLHS Integral univariate polynomial linear Hensel step.
IUPLHSL Integral univariate polynomial linear Hensel step, list.
IUPLRB Integral univariate polynomial logarithmic root bound.
IUPNT Integral univariate polynomial negative transformation.
IUPPRB Integral univariate polynomial positive root bound.
IUPQH Integral univariate polynomial quadratic hensel lemma.
IUPQHL Integral univariate polynomial quadratic hensel lemma,
list.
IUPQS Integral univariate polynomial quotient substitution.
IUPRB Integral univariate polynomial root bound.
IUPRC Integral univariate polynomial resultant and cofactor.
IUPRLP Integral univariate polynomial, root of a linear
polynomial.
IUPRRAFE Integral univariate polynomial real root approximation from
estimates.
IUPSQHL Integral univariate polynomial single-precion quadratic
Hensel lifting.
IUPSQHLL Integral univariate polynomial single-precision quadratic
Hensel lifting, list.
IUPSR Integral univariate polynomial semi-remainder.
IUPSWN Integral univariate polynomial, square of the weighted
norm.
IUPTPR Integral univariate polynomial truncated product.
IUPTR Integral univariate polynomial translation.
IUPTR1 Integral univariate polynomial translation by 1.
IUPVAR Integral univariate polynomial variations.
IUPVART Integral univariate polynomial variation test.
IUPVOI Integral univariate polynomial, variations for open
interval.
IUPVSI Integral univariate polynomial, variations for standard
interval.
IUPWRITE Integral univariate polynomial write.
IUSFPF Integral univariate squarefree polynomial factorization.
IUSFPF2 Integral univariate squarefree polynomial factorization,
degree 2.
IUSFPMF Integral univariate squarefree polynomial modular
factorization.
IWRITE Integer write.
KARATSUBA Integer product - array representation. Karatsuba's and
Maeder's method.
LAST Last element of list.
LASTCELL Last cell.
LBIBMS List of BETA-integers bubble-merge sort.
LBIBS List of BETA-integers bubble sort.
LBIM List of BETA-integers merge.
LBRIBRI Logarithmic binary rational interval to binary rational
interval.
LBRIDWRITE Logarithmic binary rational interval decimal write.
LBRIHI Logarithmic binary rational interval to hardware interval.
LBRIMID Logarithmic binary rational interval midpoint.
LBRINPROD Logarithmic binary rational interval number product.
LBRINSUM Logarithmic binary rational interval number sum.
LBRIREAD Logarithmic binary rational interval read.
LBRISI Logarithmic binary rational interval to software interval.
LBRIW Logarithmic binary rational interval width.
LBRIWRITE Logarithmic binary rational interval write.
LBRN Logarithmic binary rational number.
LBRNCOMP Logarithmic binary rational number comparison.
LBRNDIF Logarithmic binary rational number difference.
LBRNDWRITE Logarithmic binary rational number decimal write.
LBRNF Logarithmic binary rational to floating.
LBRNFEC Logarithmic binary rational to floating, exact conversion.
LBRNFIE Logarithmic binary rational number from integer and
exponent.
LBRNIEEE Logarithmic binary rational number to IEEE conversion.
LBRNIEEEE Logarithmic binary rational number to IEEE exact
conversion.
LBRNNEG Logarithmic binary rational number negative.
LBRNP2PROD Logarithmic binary rational number power of 2 product.
LBRNPROD Logarithmic binary rational number product.
LBRNREAD Logarithmic binary rational number read.
LBRNRN Logarithmic binary rational number to rational number.
LBRNSIGN Logarithmic binary rational number sign.
LBRNSUM Logarithmic binary rational number sum.
LBRNWRITE Logarithmic binary rational number write.
LCONC List concatenation.
LCOPY List copy.
LDELETE List delete element.
LDSMKB Linear diophantine system solution, modified Kannan and
Bachem algorithm.
LDSSBR Linear diophantine system solution, based on Rosser ideas.
LEINST List element insertion.
LELTI List element.
LENGTH Length.
LEROT List element rotation.
LETTER Letter.
LEXNEX Lexicographically next.
LEXNEXT Lexicographically next.
LEXNEXTC Lexicographically next combination.
M List from multilist.
LFS List from String.
LGIE List, get indexed elements.
LIBS List of intervals bubble sort.
LINS List insertion.
LINSRT List insertion.
LIST1 List, 1 element.
LIST10 List, 10 elements.
LIST2 List, 2 elements.
LIST3 List, 3 elements.
LIST4 List, 4 elements.
LIST5 List, 5 elements.
LIST6 List, 6 elements.
LKAHEAD Character lookahead.
LLCOPY List of lists copy.
LLGIE List of lists, get indexed elements.
LLTGCA List of lists to garbage-collected array.
LMERGE List merge.
LPBSD List of polynomials bubble-sort, by degrees.
LPERM List permute.
LREAD List read.
LSHIFT1 Left shift one bit.
LSICOMP Logarithmic standard interval comparison test.
LSIIT Logarithmic standard interval inclusion test.
LSILW Logarithmic standard interval - logarithm of width.
LSIM Logarithmic standard interval midpoint.
LSRCH List search.
LWRITE List write.
MAIPDE Matrix of integral polynomials determinant, exact division
algorithm.
MAIPDM Matrix of integral polynomials determinant, modular
algorithm.
MAIPDME Matrix of integral polynomials determinant, minors
expansion method.
MAIPHM Matrix of integral polynomials homomorphism.
MAIPP Matrix of integral polynomials product.
MAPASSIGN Modular array polynomial assignment.
MAPCOPY Modular array polynomial copy.
MAPDIF Modular array polynomial difference.
MAPFMD Modular array polynomial from modular digit.
MAPFMUP Modular array polynomial from modular univariate
polynomial.
MAPFMUPS Modular array polynomial from modular univariate
polynomial, specify array size.
MAPFV Modular array polynomial from vector.
MAPGCD Modular array polynomial greatest common divisor.
MAPHOM Modular array polynomial homomorphism.
MAPIDIF Modular array polynomial in-place difference.
MAPMADD Modular array polynomial multiply and add.
B Modular array polynomial monic.
MAPMPV Modular array polynomial multiplication by a power of
variable.
MAPPROD Modular array polynomial product.
MAPQR Modular array polynomial quotient and remainder.
MAPRS Modular array polynomial remainder step.
MAPSE Modular array polynomial, solution of equation.
MAPSEV Modular array polynomial special evaluation.
MAPSUM Modular array polynomial sum.
MAPTPR Modular array polynomial truncated product.
MARK Mark.
MAX Maximum.
MCPMV Matrix of coefficients of polynomials, with respect to main
variable.
MDCRA Modular digit chinese remainder algorithm.
MDDIF Modular digit difference.
MDEXP Modular digit exponentiation.
MDHOM Modular digit homomorphism.
MDINV Modular digit inverse.
MDINVB Modular digit inverse, modulo BETA.
MDLCRA Modular digit list chinese remainder algorithm.
MDNEG Modular digit negative.
MDPROD Modular digit product.
MDQ Modular digit quotient.
MDRAN Modular digit, random.
MDSUM Modular digit sum.
MEMBER Membership test.
MIAIM Matrix of integers, adjoin identity matrix.
MICINS Matrix of integers column insertion.
MICS Matrix of integers column sort.
MIDCRA Modular integer digit chinese remainder algorithm.
MIDIF Modular integer difference.
MIEXP Modular integer exponentiation.
MIHOM Modular integer homomorphism.
MIINV Modular integer inverse.
MIN Minimum.
MINEG Modular integer negation.
MINNCT Matrix of integers, non-negative column transformation.
MIPDIF Modular integral polynomial difference.
MIPEMV Modular integral polynomial evaluation of main variable.
MIPFSM Modular integral polynomial from symmetric modular.
MIPHOM Modular integral polynomial homomorphism.
MIPIPR Modular integral polynomial mod ideal product.
MIPISE Modular integral polynomial mod ideal, solution of
equation.
MIPMIP Modular integral polynomial modular integer product.
MIPMON Modular integral polynomial monic.
MIPNEG Modular integral polynomial negation.
MIPPR Modular integral polynomial product.
MIPRAN Modular integral polynomial, random.
MIPROD Modular integer product.
MIPSUM Modular integral polynomial sum.
MIQ Modular integer quotient.
MIRAN Modular integer, random.
MISUM Modular integer sum.
MIUPQR Modular integral univariate polynomial quotient and
remainder.
MIUPSE Modular integral univariate polynomial, solution of
equation.
MMAMNSB Medium modulus array matrix null space basis.
MMAPBM Medium modulus array polynomial Berlekamp matrix.
MMAPDEFL Medium modulus array polynomial deflation.
MMAPEVAL Medium modulus array polynomial evaluation.
MMAPEXP Medium modulus array polynomial exponentiation.
MMAPFS Medium modulus array polynomial factorization, special.
MMAPGCD Medium modulus array polynomial greatest common divisor.
MMAPHEG Medium modulus array polynomial half-extended greatest
common divisor.
MMAPMADD Medium modulus array polynomial multiply and add.
MMAPMDP Medium modulus array polynomial modular digit product.
MMAPMON Medium modulus array polynomial monic.
MMAPPROD Medium modulus array polynomial product.
MMAPQR Medium modulus array polynomial quotient and remainder.
MMAPRC Medium modulus array polynomial resultant and cofactor.
MMAPREM Medium modulus array polynomial remainder.
MMAPSE Medium modulus array polynomial, solution of equation.
MMAPTPR Medium modulus array polynomial truncated product.
MMDAH Matrix of modular digits array representation - convert to
Hessenberg form.
MMDAHCP Matrix of modular digits array representation Hessenberg
form - characteristic polynomial. (A matrix is in
Hessenberg form if its entries below the first diagonal are
all zero.)
MMDDET Matrix of modular digits determinant.
MMPDDF Medium modulus polynomial distinct-degree factorization.
MMPDMA Matrix of modular polynomials determinant, modular
algorithm.
MMPEGC Medium modulus polynomial extended greatest common divisor.
MMPEV Matrix of modular polynomials evaluation.
MMPFBL Medium modulus polynomial factorization, Berlekamp
algorithm.
MMPGCD Medium modulus polynomial greatest common divisor.
MMPIQR Modular monic polynomial mod ideal quotient and remainder.
MMUPIT Medium Modulus univariate polynomial irreducibility test.
MPDIF Modular polynomial difference.
MPEMV Modular polynomial evaluation of main variable.
MPEVAL Modular polynomial evaluation.
MPEXP Modular polynomial exponentiation.
MPFFAP Medium prime finite field array of powers.
MPFFAP1 Medium prime finite field array for plus 1.
MPFFDP Medium prime finite field defining polynomial.
MPFFDPGT Medium prime finite field defining polynomial, generator
and table.
MPFFEXP Medium prime finite field exponentiation.
MPFFGEN Medium prime finite field generator.
MPFFPROD Medium prime finite field product.
MPGCDC Modular polynomial greatest common divisor and cofactors.
MPHOM Modular polynomial homomorphism.
MPINT Modular polynomial interpolation.
MPIQH Modular polynomial mod ideal, quadratic Hensel lemma.
MPIQHL Modular polynomial mod ideal quadratic hensel lemma, list.
MPIQHS Modular polynomial mod ideal, quadratic Hensel lemma on a
single variable.
MPMDP Modular polynomial modular digit product.
MPMON Modular polynomial monic.
MPNEG Modular polynomial negative.
MPPROD Modular polynomial product.
MPPSR Modular polynomial pseudo-remainder.
MPQ Modular polynomial quotient.
MPQR Modular polynomial quotient and remainder.
MPRAN Modular polynomial, random.
MPRES Modular polynomial resultant.
MPRESDB Modular polynomial resultant, degree bounds.
MPSPRS Modular polynomial subresultant polynomial remainder
sequence.
MPSUM Modular polynomial sum.
MPUC Modular polynomial univariate content.
MPUCPP Modular polynomial univariate content and primitive part.
MPUCS Modular polynomial univariate content subroutine.
MPUP Modular polynomial univariate product.
MPUPP Modular polynomial univariate primitive part.
MPUQ Modular polynomial univariate quotient.
MRFMAP Matrix row from modular array polynomial.
MUPDER Modular univariate polynomial derivative.
MUPEGC Modular univariate polynomial extended greatest common
divisor.
MUPFAC Modular univariate polynomial factorization.
MUPFMAP Modular univariate polynomial from modular array
polynomial.
MUPFS Modular univariate polynomial factorization, special.
MUPGCD Modular univariate polynomial greatest common divisor.
MUPHEG Modular univariate polynomial half-extended greatest common
divisor.
MUPRAN Modular univariate polynomial, random.
MUPRC Modular univariate polynomial resultant and cofactor.
MUPRES Modular univariate polynomial resultant.
MUPSFF Modular univariate polynomial squarefree factorization.
NEXTSS Next subset.
NORMEFD Norm polynomial early factor detection.
NORMFAC Norm polynomial factorization.
NORMFCT Norm polynomial factor combination test.
NORMFCTS Norm polynomial factor combination test subroutine.
NORMFL Norm polynomial flatten list.
NORMFT Norm polynomial factor test.
NORMHLEFD Norm polynomial Hensel lifting with early factor detection.
NORMILHS Norm polynomial initial linear Hensel step.
NORMLHS Norm polynomial linear Hensel step.
NORMMF Norm polynomial modular factorization.
NORMRL Norm polynomial regroup list.
NORMSQHL Norm polynomial single-precision quadratic Hensel lifting.
ODD Odd.
ORDER Order.
OREAD Object read.
OWRITE Object write.
PADV Polynomial advance.
PAIR Pair.
PARTN Partition, next.
PARTR Partition, random.
PARTSS Partition sumset.
PBIN Polynomial binomial.
PCL Polynomial coefficient list.
PCOEFF Polynomial coefficient.
PCONST Polynomial constant.
PCPV Polynomial cyclic permutation of variables.
PDBORD Polynomial divided by order.
PDE Polynomial division of exponents.
PDEG Polynomial degree.
PDEGSV Polynomial degree, specified variable.
PDEGV Polynomial degree vector.
PDLOG2 Positive digit logarithm, base 2.
PDPV Polynomial division by power of variable.
PDVAR Polynomial divisibility by a variable.
PERMCY Permutation, cyclic.
PERMR Permutation, random.
PFBRE Polynomial from base ring element.
PFDIP Polynomial from distributive polynomial.
PFDP Polynomial from dense polynomial.
PFFAP Prime finite field array of powers.
PFFAP1 Medium prime finite field array for plus 1.
PFFGEN Prime finite field generator.
PGCDE Polynomial greatest common divisor of exponents.
PHDQR Positive half-digit quotient and remainder.
PHDREM Positive half-digit remainder.
PICPV Polynomial inverse cyclic permutation of variables.
PINV Polynomial introduction of new variables.
PLBCF Polynomial leading base coefficient.
PLDCF Polynomial leading coefficient.
PMDEG Polynomial modified degree.
PME Polynomial multiplication of exponents.
PMON Polynomial monomial.
PMONSV Polynomial monomial, specified variable.
PMPMV Polynomial multiplication by power of main variable.
PMPSV Polynomial multiplication by power of specified variable.
PNDQR Positive normalized digit quotient and remainder.
n Polynomial number of monomials.
PORD Polynomial order.
PPERMV Polynomial permutation of variables.
PPLT Polynomial prefix leading term.
PRED Polynomial reductum.
PRODUCT Integer product - array representation. Classical method.
PRT Polynomial reciprocal transformation.
PSDSV Polynomial special decomposition, specified variable.
PTBCF Polynomial trailing base coefficient.
n Polynomial total degree.
PTMV Polynomial transpose main variables.
PTRCF Polynomial trailing coefficient.
PTV Polynomial transpose variables.
PUFP Polynomial, univariate, from polynomial.
PUNT Polynomial univariate test.
QREM Quotient and remainder.
RED Reductum 1.
RED2 Reductum 2.
RED3 Reductum 3.
RED4 Reductum 4.
REDI Reductum.
REM Remainder.
RHI Ratio to hardware interval.
RIB Rational interval bisection.
RIDWRITE Rational interval decimal write.
RIL Rational interval length.
RILC Rational interval length comparison.
RINEG Rational interval negation.
RINT Rational interval normalizing transformation.
RIPROD Rational interval product.
RIRNP Rational interval rational number product.
RISIGN Rational interval sign.
RISUM Rational interval sum.
RIWRITE Rational interval write.
RMDUP Remove duplicate elements from a list.
RNABS Rational number absolute value.
RNBCR Rational number binary common representation.
RNCEIL Rational number, ceiling of.
RNCOMP Rational number comparison.
RNDDWRITE Rational number directed decimal write.
RNDEN Rational number denominator.
RNDIF Rational number difference.
RNDWRITE Rational number decimal write.
RNFCL2 Rational number floor and ceiling of logarithm, base 2.
RNFLOR Rational number, floor of.
RNFMR Rational number from modular residue.
RNFMRPP Rational number from modular residue, modulus a power of a
prime.
RNINT Rational number from integer.
RNINV Rational number inverse.
RNLBRN Rational number to logarithmic binary rational number.
RNMAX Rational number max.
RNMIN Rational number min.
RNNEG Rational number negative.
RNNUM Rational number numerator.
RNP2 Rational number power of 2.
RNPROD Rational number product.
RNQ Rational number quotient.
RNRAND Rational number, random.
RNREAD Rational number read.
RNRED Rational number reduction to lowest terms.
RNROUND Rational number rounding.
RNSIGN Rational number sign.
RNSUM Rational number sum.
RNWRITE Rational number write.
RPAFME Rational polynomial, algebraic number field multiple
evaluation.
RPBLGS Rational polynomial base coefficients least common
multiple, greatest common divisor, and sign.
RPDIF Rational polynomial difference.
RPDMV Rational polynomial derivative, main variable.
RPDWRITE Rational Polynomial Distributive Write.
RPEMV Rational polynomial evaluation, main variable.
RPEV Rational polynomial evaluation.
RPEXPREAD Rational polynomial expression read.
RPFACTREAD Rational polynomial factor read.
RPFIP Rational polynomial from integral polynomial.
RPIMV Rational polynomial integration, main variable.
RPMAIP Rational polynomial monic associate of integral polynomial.
RPME Rational polynomial multiple evaluation.
RPNEG Rational polynomial negative.
RPPOWREAD Rational polynomial power read.
RPPROD Rational polynomial product.
RPQR Rational polynomial quotient and remainder.
RPRAN Rational polynomial, random.
RPREAD Rational polynomial read.
RPRNP Rational polynomial rational number product.
RPSUM Rational polynomial sum.
RPTERMREAD Rational polynomial term read.
RPWRITE Rational polynomial write.
RSI Ratio to software interval.
RUPFMRC Rational univariate polynomial from modular residues, with
comparison.
RUPWRITE Rational univariate polynomial write.
SDIFF Set difference.
SDR System of distinct representatives.
SECOND Second.
SEQUAL Set equality.
SFCS Set from characteristic set.
SFIRST Set first element.
SIAFEE Software interval algebraic field element evaluation.
SICOPY Software interval copy.
SIDWRITE Software interval decimal write.
SIGN Sign.
SILBRI Software interval to logarithmic binary rational interval.
SINTER Set intersection.
SIPBHT Soft-float interval polynomial binary homothetic
transformation.
SIPCOPY Software interval polynomial copy.
SIPES Software interval polynomial evaluation of sign.
SIPEVAL Softeare interval polynomial evaluation.
M Software interval polynomial isolating interval refinement
and merge sort.
SIPIIS Software interval polynomial isolating interval separation.
SIPIR Software interval polynomial interval refinement.
SIPNT Software interval polynomial negative transformation.
SIPPRB Software interval polynomial positive root bound.
SIPR Software-float interval polynomial reciprocal
transformation.
SIPROD Software interval product.
SIPRRID Software interval polynomial real root isolation, Descartes
method.
SIPRRISD Software interval polynomial real root isolation, standard
interval, Descartes' method.
SIPSIZE Software interval polynomial size.
SIPTR1 Software interval polynomial translation by 1.
SIPVCHT Software interval polynomial, variations after circle to
half-plane transformation.
SIQUOT Software interval quotient.
SISIGN Software interval sign.
SISUM Software interval sum.
SLBRNIM Small logarithmic binary rational near interval midpoint.
SLELTI Set list element.
SLIWE Standard logarithmic interval width and endpoints.
SMDM Sylvester matrix degree matrix.
SMFMI Symmetric modular from modular integer.
SMFMIP Symmetric modular from modular integral polynomial.
SNLBRN Small nearby logarithmic binary rational number.
SPOWER Sign power.
SRED Set reductum.
STATSACLIB Statistics of saclib.
SUBFROM Subtract array from array.
SUFFIX Suffix.
SUNION Set union.
SWRITE String write.
TANGENTNUM Tangent numbers.
THIRD Third.
v Table lookup in list.
TSVSLI Test sign variation on standard logarithmic interval.
USDIFF Unordered set difference.
USINT Unordered set intersection.
USUN Unordered set union.
VAR Variations.
VCOMP Vector comparison.
VIAZ Vector of integers, adjoin zeros.
VIDIF Vector of integers difference.
VIERED Vector of integers, element reduction.
VILCOM Vector of integers linear combination.
VINEG Vector of integers negation.
VISPR Vector of integers scalar product.
VISUM Vector of integers sum.
VIUT Vector of integers, unimodular transformation.
VLREAD Variable list read.
VLSRCH Variable list search.
VLWRITE Variable list write.
VMAX Vector maximum.
VMIN Vector minimum.
VMPIP Vector of modular polynomial inner product.
VREAD Variable read.
VWRITE Variable write.
external
===========================================================================*/
#include "sacsys.h" #include "sactypes.h"
main Default main routine.
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