Package: flint 0.1.5

flint: Fast Library for Number Theory

An R interface to 'FLINT' <https://flintlib.org/>, a C library for number theory. 'FLINT' extends GNU 'MPFR' <https://www.mpfr.org/> and GNU 'MP' <https://gmplib.org/> with support for operations on standard rings (the integers, the integers modulo n, finite fields, the rational, p-adic, real, and complex numbers) as well as matrices and polynomials over rings. 'FLINT' implements midpoint-radius interval arithmetic, also known as ball arithmetic, in the real and complex numbers, enabling computation in arbitrary precision with rigorous propagation of rounding and other errors; see Johansson (2017) <doi:10.1109/TC.2017.2690633>. Finally, 'FLINT' provides ball arithmetic implementations of many special mathematical functions, with high coverage of reference works such as the NIST Digital Library of Mathematical Functions <https://dlmf.nist.gov/>. The R interface defines S4 classes, generic functions, and methods for representation and basic operations as well as plain R functions mirroring and vectorizing entry points in the C library.

Authors:Mikael Jagan [aut, cre], Martin Maechler [ctb]

flint_0.1.5.tar.gz
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manual.pdf |manual.html
card.svg |card.png
flint/json (API)
NEWS

# Install 'flint' in R:
install.packages('flint', repos = c('https://jaganmn.r-universe.dev', 'https://cloud.r-project.org'))

Bug tracker:https://github.com/jaganmn/flint/issues

Uses libs:
  • flint– C library for number theory
  • mpfr4– Multiple precision floating-point computation
  • gmp– Multiprecision arithmetic library

On CRAN:

Conda:

flintmpfr4gmp

5.31 score 6 stars 27 scripts 258 downloads 158 exports 0 dependencies

Last updated from:c09aa7882d. Checks:12 OK, 1 FAIL. Indexed: yes.

TargetResultTimeFilesSyslog
linux-devel-arm64OK200
linux-devel-x86_64OK201
source / vignettesOK200
linux-release-arm64OK195
linux-release-x86_64OK235
macos-release-arm64OK194
macos-release-x86_64OK321
macos-oldrel-arm64OK199
macos-oldrel-x86_64OK394
windows-develOK245
windows-releaseOK233
windows-oldrelOK223
wasm-releaseFAIL104

Exports:.initForeignacbacb_dirichlet_hurwitzacb_dirichlet_lerch_phiacb_dirichlet_zetaacb_hypgeom_2f1acb_hypgeom_bessel_iacb_hypgeom_bessel_jacb_hypgeom_bessel_kacb_hypgeom_bessel_yacb_hypgeom_betaacb_hypgeom_beta_loweracb_hypgeom_gammaacb_hypgeom_gamma_loweracb_hypgeom_gamma_upperacb_hypgeom_lgammaacb_hypgeom_polygammaacb_hypgeom_rgammaacb_integrateacb_lambertwacb.arrayACFACF.arrayall.equalanyDuplicatedapermarbarb_const_earb_const_log10arb_const_log2arb_const_piarb_dirichlet_hurwitzarb_dirichlet_lerch_phiarb_dirichlet_zetaarb_hypgeom_2f1arb_hypgeom_bessel_iarb_hypgeom_bessel_jarb_hypgeom_bessel_karb_hypgeom_bessel_yarb_hypgeom_betaarb_hypgeom_beta_lowerarb_hypgeom_gammaarb_hypgeom_gamma_lowerarb_hypgeom_gamma_upperarb_hypgeom_lgammaarb_hypgeom_polygammaarb_hypgeom_rgammaarb_integratearb_lambertwarb.arrayarfarf_rkarf.arrayas.arrayas.data.frameas.Dateas.matrixas.POSIXctas.POSIXltasplitasVectorbacksolvec.flintcbind.flintcbind2cholchol2invcoercecolMeanscolSumsComplexcutDenDen<-detdeterminantdiagdiag<-diffdiffinvdropduplicatedeigenfindIntervalflintflint.arrayflintABIflintBitsflintBitsAccurateflintClassflintLengthflintPrecflintRndflintRndMagflintSizeflintTripleflintVersionfmpqfmpq.arrayfmpzfmpz.arrayformatidenticalImagImag<-is.na<-is.unsortedisComplexisFloatingisSignedisSymmetrickroneckermagmag.arraymatchMathMath2meanMidMid<-mtfrmnormNumNum<-OpsouterprintqrquantileRadRad<-rbind.flintrbind2rcondRealReal<-rep_lenrep.introwMeansrowSumsscaleseqsequenceshowslongSLONG_MAXSLONG_MINslong.arraysolvesummarySummarysvdttoeplitzulongULONG_MAXulong.arrayunique

Dependencies:

Readme and manuals

Help Manual

Help pageTopics
R Package 'flint'flint-package .initForeign flintABI flintBits flintBitsAccurate flintClass flintLength flintPrec flintRnd flintRndMag flintSize flintTriple flintVersion
Arbitrary Precision Floating-Point Complex Numbers with Error Bounds!,acb-method %*%,acb,acb-method %*%,acb,acf-method %*%,acb,ANY-method %*%,acb,arb-method %*%,acb,arf-method %*%,acb,fmpq-method %*%,acb,fmpz-method %*%,acb,mag-method %*%,acb,slong-method %*%,acb,ulong-method %*%,ANY,acb-method +,acb,missing-method -,acb,missing-method acb acb-class acb.array anyNA,acb-method as.vector,acb-method backsolve,acb,acb-method backsolve,acb,acf-method backsolve,acb,ANY-method backsolve,acb,arb-method backsolve,acb,arf-method backsolve,acb,fmpq-method backsolve,acb,fmpz-method backsolve,acb,mag-method backsolve,acb,slong-method backsolve,acb,ulong-method backsolve,ANY,acb-method chol,acb-method chol2inv,acb-method coerce,ANY,acb-method colMeans,acb-method colSums,acb-method Complex,acb-method crossprod,acb,acb-method crossprod,acb,acf-method crossprod,acb,ANY-method crossprod,acb,arb-method crossprod,acb,arf-method crossprod,acb,fmpq-method crossprod,acb,fmpz-method crossprod,acb,mag-method crossprod,acb,slong-method crossprod,acb,ulong-method crossprod,ANY,acb-method det,acb-method determinant,acb-method diff,acb-method diffinv,acb-method is.finite,acb-method is.infinite,acb-method is.na,acb-method is.nan,acb-method is.unsorted,acb-method log,acb-method Math,acb-method Math2,acb-method mean,acb-method Ops,acb,acb-method Ops,acb,acf-method Ops,acb,ANY-method Ops,acb,arb-method Ops,acb,arf-method Ops,acb,fmpq-method Ops,acb,fmpz-method Ops,acb,mag-method Ops,acb,slong-method Ops,acb,ulong-method Ops,ANY,acb-method rowMeans,acb-method rowSums,acb-method solve,acb,acb-method solve,acb,acf-method solve,acb,ANY-method solve,acb,arb-method solve,acb,arf-method solve,acb,fmpq-method solve,acb,fmpz-method solve,acb,mag-method solve,acb,slong-method solve,acb,ulong-method solve,ANY,acb-method Summary,acb-method tcrossprod,acb,acb-method tcrossprod,acb,acf-method tcrossprod,acb,ANY-method tcrossprod,acb,arb-method tcrossprod,acb,arf-method tcrossprod,acb,fmpq-method tcrossprod,acb,fmpz-method tcrossprod,acb,mag-method tcrossprod,acb,slong-method tcrossprod,acb,ulong-method tcrossprod,ANY,acb-method xtfrm,acb-method
Arbitrary Precision Floating-Point Complex Numbers!,acf-method %*%,acf,acb-method %*%,acf,acf-method %*%,acf,ANY-method %*%,acf,arb-method %*%,acf,arf-method %*%,acf,fmpq-method %*%,acf,fmpz-method %*%,acf,mag-method %*%,acf,slong-method %*%,acf,ulong-method %*%,ANY,acf-method +,acf,missing-method -,acf,missing-method ACF acf acf-class ACF.array acf.array anyNA,acf-method as.vector,acf-method backsolve,acf,acb-method backsolve,acf,acf-method backsolve,acf,ANY-method backsolve,acf,arb-method backsolve,acf,arf-method backsolve,acf,fmpq-method backsolve,acf,fmpz-method backsolve,acf,mag-method backsolve,acf,slong-method backsolve,acf,ulong-method backsolve,ANY,acf-method chol,acf-method chol2inv,acf-method coerce,ANY,acf-method colMeans,acf-method colSums,acf-method Complex,acf-method crossprod,acf,acb-method crossprod,acf,acf-method crossprod,acf,ANY-method crossprod,acf,arb-method crossprod,acf,arf-method crossprod,acf,fmpq-method crossprod,acf,fmpz-method crossprod,acf,mag-method crossprod,acf,slong-method crossprod,acf,ulong-method crossprod,ANY,acf-method det,acf-method determinant,acf-method diff,acf-method diffinv,acf-method is.finite,acf-method is.infinite,acf-method is.na,acf-method is.nan,acf-method is.unsorted,acf-method log,acf-method Math,acf-method Math2,acf-method mean,acf-method Ops,acf,acb-method Ops,acf,acf-method Ops,acf,ANY-method Ops,acf,arb-method Ops,acf,arf-method Ops,acf,fmpq-method Ops,acf,fmpz-method Ops,acf,mag-method Ops,acf,slong-method Ops,acf,ulong-method Ops,ANY,acf-method rowMeans,acf-method rowSums,acf-method solve,acf,acb-method solve,acf,acf-method solve,acf,ANY-method solve,acf,arb-method solve,acf,arf-method solve,acf,fmpq-method solve,acf,fmpz-method solve,acf,mag-method solve,acf,slong-method solve,acf,ulong-method solve,ANY,acf-method Summary,acf-method tcrossprod,acf,acb-method tcrossprod,acf,acf-method tcrossprod,acf,ANY-method tcrossprod,acf,arb-method tcrossprod,acf,arf-method tcrossprod,acf,fmpq-method tcrossprod,acf,fmpz-method tcrossprod,acf,mag-method tcrossprod,acf,slong-method tcrossprod,acf,ulong-method tcrossprod,ANY,acf-method xtfrm,acf-method
Zeta and Related Functionsacb_dirichlet_hurwitz acb_dirichlet_lerch_phi acb_dirichlet_zeta arb_dirichlet_hurwitz arb_dirichlet_lerch_phi arb_dirichlet_zeta
Hypergeometric Functionsacb_hypgeom_2f1 arb_hypgeom_2f1
Bessel and Related Functionsacb_hypgeom_bessel_i acb_hypgeom_bessel_j acb_hypgeom_bessel_k acb_hypgeom_bessel_y arb_hypgeom_bessel_i arb_hypgeom_bessel_j arb_hypgeom_bessel_k arb_hypgeom_bessel_y
Gamma and Related Functionsacb_hypgeom_beta acb_hypgeom_gamma acb_hypgeom_lgamma acb_hypgeom_polygamma acb_hypgeom_rgamma arb_hypgeom_beta arb_hypgeom_gamma arb_hypgeom_lgamma arb_hypgeom_polygamma arb_hypgeom_rgamma
Incomplete Gamma and Related Functionsacb_hypgeom_beta_lower acb_hypgeom_gamma_lower acb_hypgeom_gamma_upper arb_hypgeom_beta_lower arb_hypgeom_gamma_lower arb_hypgeom_gamma_upper
Integration of Functions of One Variableacb_integrate arb_integrate
Lambert W functionacb_lambertw arb_lambertw
Arbitrary Precision Floating-Point Real Numbers with Error Bounds!,arb-method %*%,ANY,arb-method %*%,arb,acb-method %*%,arb,acf-method %*%,arb,ANY-method %*%,arb,arb-method %*%,arb,arf-method %*%,arb,fmpq-method %*%,arb,fmpz-method %*%,arb,mag-method %*%,arb,slong-method %*%,arb,ulong-method +,arb,missing-method -,arb,missing-method anyNA,arb-method arb arb-class arb.array as.vector,arb-method backsolve,ANY,arb-method backsolve,arb,acb-method backsolve,arb,acf-method backsolve,arb,ANY-method backsolve,arb,arb-method backsolve,arb,arf-method backsolve,arb,fmpq-method backsolve,arb,fmpz-method backsolve,arb,mag-method backsolve,arb,slong-method backsolve,arb,ulong-method chol,arb-method chol2inv,arb-method coerce,ANY,arb-method colMeans,arb-method colSums,arb-method Complex,arb-method crossprod,ANY,arb-method crossprod,arb,acb-method crossprod,arb,acf-method crossprod,arb,ANY-method crossprod,arb,arb-method crossprod,arb,arf-method crossprod,arb,fmpq-method crossprod,arb,fmpz-method crossprod,arb,mag-method crossprod,arb,slong-method crossprod,arb,ulong-method det,arb-method determinant,arb-method diff,arb-method diffinv,arb-method is.finite,arb-method is.infinite,arb-method is.na,arb-method is.nan,arb-method is.unsorted,arb-method log,arb-method Math,arb-method Math2,arb-method mean,arb-method Ops,ANY,arb-method Ops,arb,acb-method Ops,arb,acf-method Ops,arb,ANY-method Ops,arb,arb-method Ops,arb,arf-method Ops,arb,fmpq-method Ops,arb,fmpz-method Ops,arb,mag-method Ops,arb,slong-method Ops,arb,ulong-method rowMeans,arb-method rowSums,arb-method solve,ANY,arb-method solve,arb,acb-method solve,arb,acf-method solve,arb,ANY-method solve,arb,arb-method solve,arb,arf-method solve,arb,fmpq-method solve,arb,fmpz-method solve,arb,mag-method solve,arb,slong-method solve,arb,ulong-method Summary,arb-method tcrossprod,ANY,arb-method tcrossprod,arb,acb-method tcrossprod,arb,acf-method tcrossprod,arb,ANY-method tcrossprod,arb,arb-method tcrossprod,arb,arf-method tcrossprod,arb,fmpq-method tcrossprod,arb,fmpz-method tcrossprod,arb,mag-method tcrossprod,arb,slong-method tcrossprod,arb,ulong-method xtfrm,arb-method
Numerical Solution of Systems of Ordinary Differential Equationsarf_rk
Arbitrary Precision Floating-Point Real Numbers!,arf-method %*%,ANY,arf-method %*%,arf,acb-method %*%,arf,acf-method %*%,arf,ANY-method %*%,arf,arb-method %*%,arf,arf-method %*%,arf,fmpq-method %*%,arf,fmpz-method %*%,arf,mag-method %*%,arf,slong-method %*%,arf,ulong-method +,arf,missing-method -,arf,missing-method anyNA,arf-method arf arf-class arf.array as.vector,arf-method backsolve,ANY,arf-method backsolve,arf,acb-method backsolve,arf,acf-method backsolve,arf,ANY-method backsolve,arf,arb-method backsolve,arf,arf-method backsolve,arf,fmpq-method backsolve,arf,fmpz-method backsolve,arf,mag-method backsolve,arf,slong-method backsolve,arf,ulong-method chol,arf-method chol2inv,arf-method coerce,ANY,arf-method colMeans,arf-method colSums,arf-method Complex,arf-method crossprod,ANY,arf-method crossprod,arf,acb-method crossprod,arf,acf-method crossprod,arf,ANY-method crossprod,arf,arb-method crossprod,arf,arf-method crossprod,arf,fmpq-method crossprod,arf,fmpz-method crossprod,arf,mag-method crossprod,arf,slong-method crossprod,arf,ulong-method det,arf-method determinant,arf-method diff,arf-method diffinv,arf-method is.finite,arf-method is.infinite,arf-method is.na,arf-method is.nan,arf-method is.unsorted,arf-method log,arf-method Math,arf-method Math2,arf-method mean,arf-method Ops,ANY,arf-method Ops,arf,acb-method Ops,arf,acf-method Ops,arf,ANY-method Ops,arf,arb-method Ops,arf,arf-method Ops,arf,fmpq-method Ops,arf,fmpz-method Ops,arf,mag-method Ops,arf,slong-method Ops,arf,ulong-method rowMeans,arf-method rowSums,arf-method solve,ANY,arf-method solve,arf,acb-method solve,arf,acf-method solve,arf,ANY-method solve,arf,arb-method solve,arf,arf-method solve,arf,fmpq-method solve,arf,fmpz-method solve,arf,mag-method solve,arf,slong-method solve,arf,ulong-method Summary,arf-method tcrossprod,ANY,arf-method tcrossprod,arf,acb-method tcrossprod,arf,acf-method tcrossprod,arf,ANY-method tcrossprod,arf,arb-method tcrossprod,arf,arf-method tcrossprod,arf,fmpq-method tcrossprod,arf,fmpz-method tcrossprod,arf,mag-method tcrossprod,arf,slong-method tcrossprod,arf,ulong-method
Coerce an Object to a Vector ClassasArray asMatrix asVector
Concatenate Vectorsc.flint cbind.flint rbind.flint
Mathematical Constants Represented to Arbitrary Precisionarb_const_e arb_const_log10 arb_const_log2 arb_const_pi Constants
Class of FLINT-Type Vectors$,flint-method $<-,flint-method all.equal,ANY,flint-method all.equal,flint,ANY-method all.equal,flint,flint-method anyDuplicated,flint-method aperm,flint-method as.array,flint-method as.complex,flint-method as.data.frame,flint-method as.Date,flint-method as.double,flint-method as.integer,flint-method as.logical,flint-method as.matrix,flint-method as.numeric,flint-method as.POSIXct,flint-method as.POSIXlt,flint-method as.raw,flint-method asplit,flint-method c,flint-method cbind2,ANY,flint-method cbind2,flint,ANY-method cbind2,flint,flint-method coerce,ANY,flint-method cut,flint-method diag,flint-method diag<-,flint-method dim,flint-method dim<-,flint,NULL-method dim<-,flint,numeric-method dimnames,flint-method dimnames<-,flint,list-method dimnames<-,flint,NULL-method drop,flint-method duplicated,flint-method eigen,flint-method findInterval,flint-method flint flint-class flint.array identical,flint,flint-method is.array,flint-method is.matrix,flint-method is.na<-,flint-method isSymmetric,flint-method kronecker,ANY,flint-method kronecker,flint,ANY-method kronecker,flint,flint-method length,flint-method length<-,flint-method match,ANY,flint-method match,flint,ANY-method match,flint,flint-method mtfrm,flint-method names,flint-method names<-,flint,character-method names<-,flint,NULL-method norm,flint,ANY-method norm,flint,missing-method outer,ANY,flint-method outer,flint,ANY-method outer,flint,flint-method print,flint-method qr,flint-method quantile,flint-method rbind2,ANY,flint-method rbind2,flint,ANY-method rbind2,flint,flint-method rcond,flint-method rep,flint-method rep.int,flint-method rep_len,flint-method scale,flint-method seq,flint-method sequence,flint-method show,flint-method summary,flint-method svd,flint-method t,flint-method toeplitz,flint-method unique,flint-method [,ANY,ANY,flint-method [,ANY,flint,ANY-method [,ANY,flint,flint-method [,flint,ANY,ANY-method [,flint,ANY,flint-method [,flint,flint,ANY-method [,flint,flint,flint-method [<-,ANY,ANY,ANY,flint-method [<-,ANY,ANY,flint,ANY-method [<-,ANY,ANY,flint,flint-method [<-,ANY,flint,ANY,ANY-method [<-,ANY,flint,ANY,flint-method [<-,ANY,flint,flint,ANY-method [<-,ANY,flint,flint,flint-method [<-,flint,ANY,ANY,ANY-method [<-,flint,ANY,ANY,flint-method [<-,flint,ANY,flint,ANY-method [<-,flint,ANY,flint,flint-method [<-,flint,flint,ANY,ANY-method [<-,flint,flint,ANY,flint-method [<-,flint,flint,flint,ANY-method [<-,flint,flint,flint,flint-method [[,ANY,ANY,flint-method [[,ANY,flint,ANY-method [[,ANY,flint,flint-method [[,flint,ANY,ANY-method [[,flint,ANY,flint-method [[,flint,flint,ANY-method [[,flint,flint,flint-method [[<-,ANY,ANY,ANY,flint-method [[<-,ANY,ANY,flint,ANY-method [[<-,ANY,ANY,flint,flint-method [[<-,ANY,flint,ANY,ANY-method [[<-,ANY,flint,ANY,flint-method [[<-,ANY,flint,flint,ANY-method [[<-,ANY,flint,flint,flint-method [[<-,flint,ANY,ANY,ANY-method [[<-,flint,ANY,ANY,flint-method [[<-,flint,ANY,flint,ANY-method [[<-,flint,ANY,flint,flint-method [[<-,flint,flint,ANY,ANY-method [[<-,flint,flint,ANY,flint-method [[<-,flint,flint,flint,ANY-method [[<-,flint,flint,flint,flint-method
Arbitrary Precision Rational Numbers!,fmpq-method %*%,ANY,fmpq-method %*%,fmpq,acb-method %*%,fmpq,acf-method %*%,fmpq,ANY-method %*%,fmpq,arb-method %*%,fmpq,arf-method %*%,fmpq,fmpq-method %*%,fmpq,fmpz-method %*%,fmpq,mag-method %*%,fmpq,slong-method %*%,fmpq,ulong-method +,fmpq,missing-method -,fmpq,missing-method anyNA,fmpq-method as.vector,fmpq-method backsolve,ANY,fmpq-method backsolve,fmpq,acb-method backsolve,fmpq,acf-method backsolve,fmpq,ANY-method backsolve,fmpq,arb-method backsolve,fmpq,arf-method backsolve,fmpq,fmpq-method backsolve,fmpq,fmpz-method backsolve,fmpq,mag-method backsolve,fmpq,slong-method backsolve,fmpq,ulong-method chol,fmpq-method chol2inv,fmpq-method coerce,ANY,fmpq-method colMeans,fmpq-method colSums,fmpq-method Complex,fmpq-method crossprod,ANY,fmpq-method crossprod,fmpq,acb-method crossprod,fmpq,acf-method crossprod,fmpq,ANY-method crossprod,fmpq,arb-method crossprod,fmpq,arf-method crossprod,fmpq,fmpq-method crossprod,fmpq,fmpz-method crossprod,fmpq,mag-method crossprod,fmpq,slong-method crossprod,fmpq,ulong-method det,fmpq-method determinant,fmpq-method diff,fmpq-method diffinv,fmpq-method fmpq fmpq-class fmpq.array is.finite,fmpq-method is.infinite,fmpq-method is.na,fmpq-method is.nan,fmpq-method is.unsorted,fmpq-method Math,fmpq-method Math2,fmpq-method mean,fmpq-method Ops,ANY,fmpq-method Ops,fmpq,acb-method Ops,fmpq,acf-method Ops,fmpq,ANY-method Ops,fmpq,arb-method Ops,fmpq,arf-method Ops,fmpq,fmpq-method Ops,fmpq,fmpz-method Ops,fmpq,mag-method Ops,fmpq,slong-method Ops,fmpq,ulong-method rowMeans,fmpq-method rowSums,fmpq-method solve,ANY,fmpq-method solve,fmpq,acb-method solve,fmpq,acf-method solve,fmpq,ANY-method solve,fmpq,arb-method solve,fmpq,arf-method solve,fmpq,fmpq-method solve,fmpq,fmpz-method solve,fmpq,mag-method solve,fmpq,slong-method solve,fmpq,ulong-method Summary,fmpq-method tcrossprod,ANY,fmpq-method tcrossprod,fmpq,acb-method tcrossprod,fmpq,acf-method tcrossprod,fmpq,ANY-method tcrossprod,fmpq,arb-method tcrossprod,fmpq,arf-method tcrossprod,fmpq,fmpq-method tcrossprod,fmpq,fmpz-method tcrossprod,fmpq,mag-method tcrossprod,fmpq,slong-method tcrossprod,fmpq,ulong-method
Arbitrary Precision Signed Integers!,fmpz-method %*%,ANY,fmpz-method %*%,fmpz,acb-method %*%,fmpz,acf-method %*%,fmpz,ANY-method %*%,fmpz,arb-method %*%,fmpz,arf-method %*%,fmpz,fmpq-method %*%,fmpz,fmpz-method %*%,fmpz,mag-method %*%,fmpz,slong-method %*%,fmpz,ulong-method +,fmpz,missing-method -,fmpz,missing-method anyNA,fmpz-method as.vector,fmpz-method backsolve,ANY,fmpz-method backsolve,fmpz,acb-method backsolve,fmpz,acf-method backsolve,fmpz,ANY-method backsolve,fmpz,arb-method backsolve,fmpz,arf-method backsolve,fmpz,fmpq-method backsolve,fmpz,fmpz-method backsolve,fmpz,mag-method backsolve,fmpz,slong-method backsolve,fmpz,ulong-method chol,fmpz-method chol2inv,fmpz-method coerce,ANY,fmpz-method colMeans,fmpz-method colSums,fmpz-method Complex,fmpz-method crossprod,ANY,fmpz-method crossprod,fmpz,acb-method crossprod,fmpz,acf-method crossprod,fmpz,ANY-method crossprod,fmpz,arb-method crossprod,fmpz,arf-method crossprod,fmpz,fmpq-method crossprod,fmpz,fmpz-method crossprod,fmpz,mag-method crossprod,fmpz,slong-method crossprod,fmpz,ulong-method det,fmpz-method determinant,fmpz-method diff,fmpz-method diffinv,fmpz-method fmpz fmpz-class fmpz.array is.finite,fmpz-method is.infinite,fmpz-method is.na,fmpz-method is.nan,fmpz-method is.unsorted,fmpz-method Math,fmpz-method Math2,fmpz-method mean,fmpz-method Ops,ANY,fmpz-method Ops,fmpz,acb-method Ops,fmpz,acf-method Ops,fmpz,ANY-method Ops,fmpz,arb-method Ops,fmpz,arf-method Ops,fmpz,fmpq-method Ops,fmpz,fmpz-method Ops,fmpz,mag-method Ops,fmpz,slong-method Ops,fmpz,ulong-method rowMeans,fmpz-method rowSums,fmpz-method solve,ANY,fmpz-method solve,fmpz,acb-method solve,fmpz,acf-method solve,fmpz,ANY-method solve,fmpz,arb-method solve,fmpz,arf-method solve,fmpz,fmpq-method solve,fmpz,fmpz-method solve,fmpz,mag-method solve,fmpz,slong-method solve,fmpz,ulong-method Summary,fmpz-method tcrossprod,ANY,fmpz-method tcrossprod,fmpz,acb-method tcrossprod,fmpz,acf-method tcrossprod,fmpz,ANY-method tcrossprod,fmpz,arb-method tcrossprod,fmpz,arf-method tcrossprod,fmpz,fmpq-method tcrossprod,fmpz,fmpz-method tcrossprod,fmpz,mag-method tcrossprod,fmpz,slong-method tcrossprod,fmpz,ulong-method
Format FLINT-type Numbers as Stringsformat,acb-method format,acf-method format,arb-method format,arf-method format,fmpq-method format,fmpz-method format,mag-method format,slong-method format,ulong-method format-methods
Fixed Precision Magnitude (Error) Bounds!,mag-method %*%,ANY,mag-method %*%,mag,acb-method %*%,mag,acf-method %*%,mag,ANY-method %*%,mag,arb-method %*%,mag,arf-method %*%,mag,fmpq-method %*%,mag,fmpz-method %*%,mag,mag-method %*%,mag,slong-method %*%,mag,ulong-method +,mag,missing-method -,mag,missing-method anyNA,mag-method as.vector,mag-method backsolve,ANY,mag-method backsolve,mag,acb-method backsolve,mag,acf-method backsolve,mag,ANY-method backsolve,mag,arb-method backsolve,mag,arf-method backsolve,mag,fmpq-method backsolve,mag,fmpz-method backsolve,mag,mag-method backsolve,mag,slong-method backsolve,mag,ulong-method chol,mag-method chol2inv,mag-method coerce,ANY,mag-method colMeans,mag-method colSums,mag-method Complex,mag-method crossprod,ANY,mag-method crossprod,mag,acb-method crossprod,mag,acf-method crossprod,mag,ANY-method crossprod,mag,arb-method crossprod,mag,arf-method crossprod,mag,fmpq-method crossprod,mag,fmpz-method crossprod,mag,mag-method crossprod,mag,slong-method crossprod,mag,ulong-method det,mag-method determinant,mag-method diff,mag-method diffinv,mag-method is.finite,mag-method is.infinite,mag-method is.na,mag-method is.nan,mag-method is.unsorted,mag-method log,mag-method mag mag-class mag.array Math,mag-method Math2,mag-method mean,mag-method Ops,ANY,mag-method Ops,mag,acb-method Ops,mag,acf-method Ops,mag,ANY-method Ops,mag,arb-method Ops,mag,arf-method Ops,mag,fmpq-method Ops,mag,fmpz-method Ops,mag,mag-method Ops,mag,slong-method Ops,mag,ulong-method rowMeans,mag-method rowSums,mag-method solve,ANY,mag-method solve,mag,acb-method solve,mag,acf-method solve,mag,ANY-method solve,mag,arb-method solve,mag,arf-method solve,mag,fmpq-method solve,mag,fmpz-method solve,mag,mag-method solve,mag,slong-method solve,mag,ulong-method Summary,mag-method tcrossprod,ANY,mag-method tcrossprod,mag,acb-method tcrossprod,mag,acf-method tcrossprod,mag,ANY-method tcrossprod,mag,arb-method tcrossprod,mag,arf-method tcrossprod,mag,fmpq-method tcrossprod,mag,fmpz-method tcrossprod,mag,mag-method tcrossprod,mag,slong-method tcrossprod,mag,ulong-method
Unions of 'NULL' and Vector ClassesOptionalCharacter-class OptionalInteger-class OptionalList-class
Get or Set One Part of a VectorDen Den,fmpq-method Den<- Den<-,fmpq-method Imag Imag,acb-method Imag,acf-method Imag,ANY-method Imag<- Imag<-,acb-method Imag<-,acf-method Imag<-,ANY-method Mid Mid,acb-method Mid,arb-method Mid<- Mid<-,acb-method Mid<-,arb-method Num Num,fmpq-method Num<- Num<-,fmpq-method Part Rad Rad,arb-method Rad<- Rad<-,arb-method Real Real,acb-method Real,acf-method Real,ANY-method Real<- Real<-,acb-method Real<-,acf-method Real<-,ANY-method
Test What is Representable by a Type or ClassisComplex isComplex,acb-method isComplex,acf-method isComplex,ANY-method isComplex,arb-method isComplex,arf-method isComplex,fmpq-method isComplex,fmpz-method isComplex,mag-method isComplex,slong-method isComplex,ulong-method isFloating isFloating,acb-method isFloating,acf-method isFloating,ANY-method isFloating,arb-method isFloating,arf-method isFloating,fmpq-method isFloating,fmpz-method isFloating,mag-method isFloating,slong-method isFloating,ulong-method isSigned isSigned,acb-method isSigned,acf-method isSigned,ANY-method isSigned,arb-method isSigned,arf-method isSigned,fmpq-method isSigned,fmpz-method isSigned,mag-method isSigned,slong-method isSigned,ulong-method TypeClass
Fixed Precision Unsigned and Signed Integers!,slong-method !,ulong-method %*%,ANY,slong-method %*%,ANY,ulong-method %*%,slong,acb-method %*%,slong,acf-method %*%,slong,ANY-method %*%,slong,arb-method %*%,slong,arf-method %*%,slong,fmpq-method %*%,slong,fmpz-method %*%,slong,mag-method %*%,slong,slong-method %*%,slong,ulong-method %*%,ulong,acb-method %*%,ulong,acf-method %*%,ulong,ANY-method %*%,ulong,arb-method %*%,ulong,arf-method %*%,ulong,fmpq-method %*%,ulong,fmpz-method %*%,ulong,mag-method %*%,ulong,slong-method %*%,ulong,ulong-method +,slong,missing-method +,ulong,missing-method -,slong,missing-method -,ulong,missing-method anyNA,slong-method anyNA,ulong-method as.vector,slong-method as.vector,ulong-method backsolve,ANY,slong-method backsolve,ANY,ulong-method backsolve,slong,acb-method backsolve,slong,acf-method backsolve,slong,ANY-method backsolve,slong,arb-method backsolve,slong,arf-method backsolve,slong,fmpq-method backsolve,slong,fmpz-method backsolve,slong,mag-method backsolve,slong,slong-method backsolve,slong,ulong-method backsolve,ulong,acb-method backsolve,ulong,acf-method backsolve,ulong,ANY-method backsolve,ulong,arb-method backsolve,ulong,arf-method backsolve,ulong,fmpq-method backsolve,ulong,fmpz-method backsolve,ulong,mag-method backsolve,ulong,slong-method backsolve,ulong,ulong-method chol,slong-method chol,ulong-method chol2inv,slong-method chol2inv,ulong-method coerce,ANY,slong-method coerce,ANY,ulong-method colMeans,slong-method colMeans,ulong-method colSums,slong-method colSums,ulong-method Complex,slong-method Complex,ulong-method crossprod,ANY,slong-method crossprod,ANY,ulong-method crossprod,slong,acb-method crossprod,slong,acf-method crossprod,slong,ANY-method crossprod,slong,arb-method crossprod,slong,arf-method crossprod,slong,fmpq-method crossprod,slong,fmpz-method crossprod,slong,mag-method crossprod,slong,slong-method crossprod,slong,ulong-method crossprod,ulong,acb-method crossprod,ulong,acf-method crossprod,ulong,ANY-method crossprod,ulong,arb-method crossprod,ulong,arf-method crossprod,ulong,fmpq-method crossprod,ulong,fmpz-method crossprod,ulong,mag-method crossprod,ulong,slong-method crossprod,ulong,ulong-method det,slong-method det,ulong-method determinant,slong-method determinant,ulong-method diff,slong-method diff,ulong-method diffinv,slong-method diffinv,ulong-method is.finite,slong-method is.finite,ulong-method is.infinite,slong-method is.infinite,ulong-method is.na,slong-method is.na,ulong-method is.nan,slong-method is.nan,ulong-method is.unsorted,slong-method is.unsorted,ulong-method Math,slong-method Math,ulong-method Math2,slong-method Math2,ulong-method mean,slong-method mean,ulong-method Ops,ANY,slong-method Ops,ANY,ulong-method Ops,slong,acb-method Ops,slong,acf-method Ops,slong,ANY-method Ops,slong,arb-method Ops,slong,arf-method Ops,slong,fmpq-method Ops,slong,fmpz-method Ops,slong,mag-method Ops,slong,slong-method Ops,slong,ulong-method Ops,ulong,acb-method Ops,ulong,acf-method Ops,ulong,ANY-method Ops,ulong,arb-method Ops,ulong,arf-method Ops,ulong,fmpq-method Ops,ulong,fmpz-method Ops,ulong,mag-method Ops,ulong,slong-method Ops,ulong,ulong-method rowMeans,slong-method rowMeans,ulong-method rowSums,slong-method rowSums,ulong-method slong slong-class slong.array SLONG_MAX SLONG_MIN solve,ANY,slong-method solve,ANY,ulong-method solve,slong,acb-method solve,slong,acf-method solve,slong,ANY-method solve,slong,arb-method solve,slong,arf-method solve,slong,fmpq-method solve,slong,fmpz-method solve,slong,mag-method solve,slong,slong-method solve,slong,ulong-method solve,ulong,acb-method solve,ulong,acf-method solve,ulong,ANY-method solve,ulong,arb-method solve,ulong,arf-method solve,ulong,fmpq-method solve,ulong,fmpz-method solve,ulong,mag-method solve,ulong,slong-method solve,ulong,ulong-method Summary,slong-method Summary,ulong-method tcrossprod,ANY,slong-method tcrossprod,ANY,ulong-method tcrossprod,slong,acb-method tcrossprod,slong,acf-method tcrossprod,slong,ANY-method tcrossprod,slong,arb-method tcrossprod,slong,arf-method tcrossprod,slong,fmpq-method tcrossprod,slong,fmpz-method tcrossprod,slong,mag-method tcrossprod,slong,slong-method tcrossprod,slong,ulong-method tcrossprod,ulong,acb-method tcrossprod,ulong,acf-method tcrossprod,ulong,ANY-method tcrossprod,ulong,arb-method tcrossprod,ulong,arf-method tcrossprod,ulong,fmpq-method tcrossprod,ulong,fmpz-method tcrossprod,ulong,mag-method tcrossprod,ulong,slong-method tcrossprod,ulong,ulong-method ulong ulong-class ulong.array ULONG_MAX