Upload __init__.py with huggingface_hub

__init__.py

@@ -1,468 +1,77 @@
-__version__ = '1.3.0'
-
-from .usertools import monitor, timing
-
-from .ctx_fp import FPContext
-from .ctx_mp import MPContext
-from .ctx_iv import MPIntervalContext
-
-fp = FPContext()
-mp = MPContext()
-iv = MPIntervalContext()
-
-fp._mp = mp
-mp._mp = mp
-iv._mp = mp
-mp._fp = fp
-fp._fp = fp
-mp._iv = iv
-fp._iv = iv
-iv._iv = iv
-
-# XXX: extremely bad pickle hack
-from . import ctx_mp as _ctx_mp
-_ctx_mp._mpf_module.mpf = mp.mpf
-_ctx_mp._mpf_module.mpc = mp.mpc
-
-make_mpf = mp.make_mpf
-make_mpc = mp.make_mpc
-
-extraprec = mp.extraprec
-extradps = mp.extradps
-workprec = mp.workprec
-workdps = mp.workdps
-autoprec = mp.autoprec
-maxcalls = mp.maxcalls
-memoize = mp.memoize
-
-mag = mp.mag
-
-bernfrac = mp.bernfrac
-
-qfrom = mp.qfrom
-mfrom = mp.mfrom
-kfrom = mp.kfrom
-taufrom = mp.taufrom
-qbarfrom = mp.qbarfrom
-ellipfun = mp.ellipfun
-jtheta = mp.jtheta
-kleinj = mp.kleinj
-eta = mp.eta
-
-qp = mp.qp
-qhyper = mp.qhyper
-qgamma = mp.qgamma
-qfac = mp.qfac
-
-nint_distance = mp.nint_distance
-
-plot = mp.plot
-cplot = mp.cplot
-splot = mp.splot
-
-odefun = mp.odefun
-
-jacobian = mp.jacobian
-findroot = mp.findroot
-multiplicity = mp.multiplicity
-
-isinf = mp.isinf
-isnan = mp.isnan
-isnormal = mp.isnormal
-isint = mp.isint
-isfinite = mp.isfinite
-almosteq = mp.almosteq
-nan = mp.nan
-rand = mp.rand
-
-absmin = mp.absmin
-absmax = mp.absmax
-
-fraction = mp.fraction
-
-linspace = mp.linspace
-arange = mp.arange
-
-mpmathify = convert = mp.convert
-mpc = mp.mpc
-
-mpi = iv._mpi
-
-nstr = mp.nstr
-nprint = mp.nprint
-chop = mp.chop
-
-fneg = mp.fneg
-fadd = mp.fadd
-fsub = mp.fsub
-fmul = mp.fmul
-fdiv = mp.fdiv
-fprod = mp.fprod
-
-quad = mp.quad
-quadgl = mp.quadgl
-quadts = mp.quadts
-quadosc = mp.quadosc
-quadsubdiv = mp.quadsubdiv
-
-invertlaplace = mp.invertlaplace
-invlaptalbot = mp.invlaptalbot
-invlapstehfest = mp.invlapstehfest
-invlapdehoog = mp.invlapdehoog
-
-pslq = mp.pslq
-identify = mp.identify
-findpoly = mp.findpoly
-
-richardson = mp.richardson
-shanks = mp.shanks
-levin = mp.levin
-cohen_alt = mp.cohen_alt
-nsum = mp.nsum
-nprod = mp.nprod
-difference = mp.difference
-diff = mp.diff
-diffs = mp.diffs
-diffs_prod = mp.diffs_prod
-diffs_exp = mp.diffs_exp
-diffun = mp.diffun
-differint = mp.differint
-taylor = mp.taylor
-pade = mp.pade
-polyval = mp.polyval
-polyroots = mp.polyroots
-fourier = mp.fourier
-fourierval = mp.fourierval
-sumem = mp.sumem
-sumap = mp.sumap
-chebyfit = mp.chebyfit
-limit = mp.limit
-
-matrix = mp.matrix
-eye = mp.eye
-diag = mp.diag
-zeros = mp.zeros
-ones = mp.ones
-hilbert = mp.hilbert
-randmatrix = mp.randmatrix
-swap_row = mp.swap_row
-extend = mp.extend
-norm = mp.norm
-mnorm = mp.mnorm
-
-lu_solve = mp.lu_solve
-lu = mp.lu
-qr = mp.qr
-unitvector = mp.unitvector
-inverse = mp.inverse
-residual = mp.residual
-qr_solve = mp.qr_solve
-cholesky = mp.cholesky
-cholesky_solve = mp.cholesky_solve
-det = mp.det
-cond = mp.cond
-hessenberg = mp.hessenberg
-schur = mp.schur
-eig = mp.eig
-eig_sort = mp.eig_sort
-eigsy = mp.eigsy
-eighe = mp.eighe
-eigh = mp.eigh
-svd_r = mp.svd_r
-svd_c = mp.svd_c
-svd = mp.svd
-gauss_quadrature = mp.gauss_quadrature
-
-expm = mp.expm
-sqrtm = mp.sqrtm
-powm = mp.powm
-logm = mp.logm
-sinm = mp.sinm
-cosm = mp.cosm
-
-mpf = mp.mpf
-j = mp.j
-exp = mp.exp
-expj = mp.expj
-expjpi = mp.expjpi
-ln = mp.ln
-im = mp.im
-re = mp.re
-inf = mp.inf
-ninf = mp.ninf
-sign = mp.sign
-
-eps = mp.eps
-pi = mp.pi
-ln2 = mp.ln2
-ln10 = mp.ln10
-phi = mp.phi
-e = mp.e
-euler = mp.euler
-catalan = mp.catalan
-khinchin = mp.khinchin
-glaisher = mp.glaisher
-apery = mp.apery
-degree = mp.degree
-twinprime = mp.twinprime
-mertens = mp.mertens
-
-ldexp = mp.ldexp
-frexp = mp.frexp
-
-fsum = mp.fsum
-fdot = mp.fdot
-
-sqrt = mp.sqrt
-cbrt = mp.cbrt
-exp = mp.exp
-ln = mp.ln
-log = mp.log
-log10 = mp.log10
-power = mp.power
-cos = mp.cos
-sin = mp.sin
-tan = mp.tan
-cosh = mp.cosh
-sinh = mp.sinh
-tanh = mp.tanh
-acos = mp.acos
-asin = mp.asin
-atan = mp.atan
-asinh = mp.asinh
-acosh = mp.acosh
-atanh = mp.atanh
-sec = mp.sec
-csc = mp.csc
-cot = mp.cot
-sech = mp.sech
-csch = mp.csch
-coth = mp.coth
-asec = mp.asec
-acsc = mp.acsc
-acot = mp.acot
-asech = mp.asech
-acsch = mp.acsch
-acoth = mp.acoth
-cospi = mp.cospi
-sinpi = mp.sinpi
-sinc = mp.sinc
-sincpi = mp.sincpi
-cos_sin = mp.cos_sin
-cospi_sinpi = mp.cospi_sinpi
-fabs = mp.fabs
-re = mp.re
-im = mp.im
-conj = mp.conj
-floor = mp.floor
-ceil = mp.ceil
-nint = mp.nint
-frac = mp.frac
-root = mp.root
-nthroot = mp.nthroot
-hypot = mp.hypot
-fmod = mp.fmod
-ldexp = mp.ldexp
-frexp = mp.frexp
-sign = mp.sign
-arg = mp.arg
-phase = mp.phase
-polar = mp.polar
-rect = mp.rect
-degrees = mp.degrees
-radians = mp.radians
-atan2 = mp.atan2
-fib = mp.fib
-fibonacci = mp.fibonacci
-lambertw = mp.lambertw
-zeta = mp.zeta
-altzeta = mp.altzeta
-gamma = mp.gamma
-rgamma = mp.rgamma
-factorial = mp.factorial
-fac = mp.fac
-fac2 = mp.fac2
-beta = mp.beta
-betainc = mp.betainc
-psi = mp.psi
-#psi0 = mp.psi0
-#psi1 = mp.psi1
-#psi2 = mp.psi2
-#psi3 = mp.psi3
-polygamma = mp.polygamma
-digamma = mp.digamma
-#trigamma = mp.trigamma
-#tetragamma = mp.tetragamma
-#pentagamma = mp.pentagamma
-harmonic = mp.harmonic
-bernoulli = mp.bernoulli
-bernfrac = mp.bernfrac
-stieltjes = mp.stieltjes
-hurwitz = mp.hurwitz
-dirichlet = mp.dirichlet
-bernpoly = mp.bernpoly
-eulerpoly = mp.eulerpoly
-eulernum = mp.eulernum
-polylog = mp.polylog
-clsin = mp.clsin
-clcos = mp.clcos
-gammainc = mp.gammainc
-gammaprod = mp.gammaprod
-binomial = mp.binomial
-rf = mp.rf
-ff = mp.ff
-hyper = mp.hyper
-hyp0f1 = mp.hyp0f1
-hyp1f1 = mp.hyp1f1
-hyp1f2 = mp.hyp1f2
-hyp2f1 = mp.hyp2f1
-hyp2f2 = mp.hyp2f2
-hyp2f0 = mp.hyp2f0
-hyp2f3 = mp.hyp2f3
-hyp3f2 = mp.hyp3f2
-hyperu = mp.hyperu
-hypercomb = mp.hypercomb
-meijerg = mp.meijerg
-appellf1 = mp.appellf1
-appellf2 = mp.appellf2
-appellf3 = mp.appellf3
-appellf4 = mp.appellf4
-hyper2d = mp.hyper2d
-bihyper = mp.bihyper
-erf = mp.erf
-erfc = mp.erfc
-erfi = mp.erfi
-erfinv = mp.erfinv
-npdf = mp.npdf
-ncdf = mp.ncdf
-expint = mp.expint
-e1 = mp.e1
-ei = mp.ei
-li = mp.li
-ci = mp.ci
-si = mp.si
-chi = mp.chi
-shi = mp.shi
-fresnels = mp.fresnels
-fresnelc = mp.fresnelc
-airyai = mp.airyai
-airybi = mp.airybi
-airyaizero = mp.airyaizero
-airybizero = mp.airybizero
-scorergi = mp.scorergi
-scorerhi = mp.scorerhi
-ellipk = mp.ellipk
-ellipe = mp.ellipe
-ellipf = mp.ellipf
-ellippi = mp.ellippi
-elliprc = mp.elliprc
-elliprj = mp.elliprj
-elliprf = mp.elliprf
-elliprd = mp.elliprd
-elliprg = mp.elliprg
-agm = mp.agm
-jacobi = mp.jacobi
-chebyt = mp.chebyt
-chebyu = mp.chebyu
-legendre = mp.legendre
-legenp = mp.legenp
-legenq = mp.legenq
-hermite = mp.hermite
-pcfd = mp.pcfd
-pcfu = mp.pcfu
-pcfv = mp.pcfv
-pcfw = mp.pcfw
-gegenbauer = mp.gegenbauer
-laguerre = mp.laguerre
-spherharm = mp.spherharm
-besselj = mp.besselj
-j0 = mp.j0
-j1 = mp.j1
-besseli = mp.besseli
-bessely = mp.bessely
-besselk = mp.besselk
-besseljzero = mp.besseljzero
-besselyzero = mp.besselyzero
-hankel1 = mp.hankel1
-hankel2 = mp.hankel2
-struveh = mp.struveh
-struvel = mp.struvel
-angerj = mp.angerj
-webere = mp.webere
-lommels1 = mp.lommels1
-lommels2 = mp.lommels2
-whitm = mp.whitm
-whitw = mp.whitw
-ber = mp.ber
-bei = mp.bei
-ker = mp.ker
-kei = mp.kei
-coulombc = mp.coulombc
-coulombf = mp.coulombf
-coulombg = mp.coulombg
-barnesg = mp.barnesg
-superfac = mp.superfac
-hyperfac = mp.hyperfac
-loggamma = mp.loggamma
-siegeltheta = mp.siegeltheta
-siegelz = mp.siegelz
-grampoint = mp.grampoint
-zetazero = mp.zetazero
-riemannr = mp.riemannr
-primepi = mp.primepi
-primepi2 = mp.primepi2
-primezeta = mp.primezeta
-bell = mp.bell
-polyexp = mp.polyexp
-expm1 = mp.expm1
-log1p = mp.log1p
-powm1 = mp.powm1
-unitroots = mp.unitroots
-cyclotomic = mp.cyclotomic
-mangoldt = mp.mangoldt
-secondzeta = mp.secondzeta
-nzeros = mp.nzeros
-backlunds = mp.backlunds
-lerchphi = mp.lerchphi
-stirling1 = mp.stirling1
-stirling2 = mp.stirling2
-squarew = mp.squarew
-trianglew = mp.trianglew
-sawtoothw = mp.sawtoothw
-unit_triangle = mp.unit_triangle
-sigmoid = mp.sigmoid
-
-# be careful when changing this name, don't use test*!
-def runtests():
-    """
-    Run all mpmath tests and print output.
-    """
-    import os.path
-    from inspect import getsourcefile
-    from .tests import runtests as tests
-    testdir = os.path.dirname(os.path.abspath(getsourcefile(tests)))
-    importdir = os.path.abspath(testdir + '/../..')
-    tests.testit(importdir, testdir)
-
-def doctests(filter=[]):
-    import sys
-    from timeit import default_timer as clock
-    for i, arg in enumerate(sys.argv):
-        if '__init__.py' in arg:
-            filter = [sn for sn in sys.argv[i+1:] if not sn.startswith("-")]
-            break
-    import doctest
-    globs = globals().copy()
-    for obj in globs: #sorted(globs.keys()):
-        if filter:
-            if not sum([pat in obj for pat in filter]):
-                continue
-        sys.stdout.write(str(obj) + " ")
-        sys.stdout.flush()
-        t1 = clock()
-        doctest.run_docstring_examples(globs[obj], {}, verbose=("-v" in sys.argv))
-        t2 = clock()
-        print(round(t2-t1, 3))
-
-if __name__ == '__main__':
-    doctests()
+from .libmpf import (prec_to_dps, dps_to_prec, repr_dps,
+  round_down, round_up, round_floor, round_ceiling, round_nearest,
+  to_pickable, from_pickable, ComplexResult,
+  fzero, fnzero, fone, fnone, ftwo, ften, fhalf, fnan, finf, fninf,
+  math_float_inf, round_int, normalize, normalize1,
+  from_man_exp, from_int, to_man_exp, to_int, mpf_ceil, mpf_floor,
+  mpf_nint, mpf_frac,
+  from_float, from_npfloat, from_Decimal, to_float, from_rational, to_rational, to_fixed,
+  mpf_rand, mpf_eq, mpf_hash, mpf_cmp, mpf_lt, mpf_le, mpf_gt, mpf_ge,
+  mpf_pos, mpf_neg, mpf_abs, mpf_sign, mpf_add, mpf_sub, mpf_sum,
+  mpf_mul, mpf_mul_int, mpf_shift, mpf_frexp,
+  mpf_div, mpf_rdiv_int, mpf_mod, mpf_pow_int,
+  mpf_perturb,
+  to_digits_exp, to_str, str_to_man_exp, from_str, from_bstr, to_bstr,
+  mpf_sqrt, mpf_hypot)
+
+from .libmpc import (mpc_one, mpc_zero, mpc_two, mpc_half,
+  mpc_is_inf, mpc_is_infnan, mpc_to_str, mpc_to_complex, mpc_hash,
+  mpc_conjugate, mpc_is_nonzero, mpc_add, mpc_add_mpf,
+  mpc_sub, mpc_sub_mpf, mpc_pos, mpc_neg, mpc_shift, mpc_abs,
+  mpc_arg, mpc_floor, mpc_ceil,  mpc_nint, mpc_frac, mpc_mul, mpc_square,
+  mpc_mul_mpf, mpc_mul_imag_mpf, mpc_mul_int,
+  mpc_div, mpc_div_mpf, mpc_reciprocal, mpc_mpf_div,
+  complex_int_pow, mpc_pow, mpc_pow_mpf, mpc_pow_int,
+  mpc_sqrt, mpc_nthroot, mpc_cbrt, mpc_exp, mpc_log, mpc_cos, mpc_sin,
+  mpc_tan, mpc_cos_pi, mpc_sin_pi, mpc_cosh, mpc_sinh, mpc_tanh,
+  mpc_atan, mpc_acos, mpc_asin, mpc_asinh, mpc_acosh, mpc_atanh,
+  mpc_fibonacci, mpf_expj, mpf_expjpi, mpc_expj, mpc_expjpi,
+  mpc_cos_sin, mpc_cos_sin_pi)
+
+from .libelefun import (ln2_fixed, mpf_ln2, ln10_fixed, mpf_ln10,
+  pi_fixed, mpf_pi, e_fixed, mpf_e, phi_fixed, mpf_phi,
+  degree_fixed, mpf_degree,
+  mpf_pow, mpf_nthroot, mpf_cbrt, log_int_fixed, agm_fixed,
+  mpf_log, mpf_log_hypot, mpf_exp, mpf_cos_sin, mpf_cos, mpf_sin, mpf_tan,
+  mpf_cos_sin_pi, mpf_cos_pi, mpf_sin_pi, mpf_cosh_sinh,
+  mpf_cosh, mpf_sinh, mpf_tanh, mpf_atan, mpf_atan2, mpf_asin,
+  mpf_acos, mpf_asinh, mpf_acosh, mpf_atanh, mpf_fibonacci)
+
+from .libhyper import (NoConvergence, make_hyp_summator,
+  mpf_erf, mpf_erfc, mpf_ei, mpc_ei, mpf_e1, mpc_e1, mpf_expint,
+  mpf_ci_si, mpf_ci, mpf_si, mpc_ci, mpc_si, mpf_besseljn,
+  mpc_besseljn, mpf_agm, mpf_agm1, mpc_agm, mpc_agm1,
+  mpf_ellipk, mpc_ellipk, mpf_ellipe, mpc_ellipe)
+
+from .gammazeta import (catalan_fixed, mpf_catalan,
+  khinchin_fixed, mpf_khinchin, glaisher_fixed, mpf_glaisher,
+  apery_fixed, mpf_apery, euler_fixed, mpf_euler, mertens_fixed,
+  mpf_mertens, twinprime_fixed, mpf_twinprime,
+  mpf_bernoulli, bernfrac, mpf_gamma_int,
+  mpf_factorial, mpc_factorial, mpf_gamma, mpc_gamma,
+  mpf_loggamma, mpc_loggamma, mpf_rgamma, mpc_rgamma,
+  mpf_harmonic, mpc_harmonic, mpf_psi0, mpc_psi0,
+  mpf_psi, mpc_psi, mpf_zeta_int, mpf_zeta, mpc_zeta,
+  mpf_altzeta, mpc_altzeta, mpf_zetasum, mpc_zetasum)
+
+from .libmpi import (mpi_str,
+  mpi_from_str, mpi_to_str,
+  mpi_eq, mpi_ne,
+  mpi_lt, mpi_le, mpi_gt, mpi_ge,
+  mpi_add, mpi_sub, mpi_delta, mpi_mid,
+  mpi_pos, mpi_neg, mpi_abs, mpi_mul, mpi_div, mpi_exp,
+  mpi_log, mpi_sqrt, mpi_pow_int, mpi_pow, mpi_cos_sin,
+  mpi_cos, mpi_sin, mpi_tan, mpi_cot,
+  mpi_atan, mpi_atan2,
+  mpci_pos, mpci_neg, mpci_add, mpci_sub, mpci_mul, mpci_div, mpci_pow,
+  mpci_abs, mpci_pow, mpci_exp, mpci_log, mpci_cos, mpci_sin,
+  mpi_gamma, mpci_gamma, mpi_loggamma, mpci_loggamma,
+  mpi_rgamma, mpci_rgamma, mpi_factorial, mpci_factorial)
+
+from .libintmath import (trailing, bitcount, numeral, bin_to_radix,
+  isqrt, isqrt_small, isqrt_fast, sqrt_fixed, sqrtrem, ifib, ifac,
+  list_primes, isprime, moebius, gcd, eulernum, stirling1, stirling2)
+
+from .backend import (gmpy, sage, BACKEND, STRICT, MPZ, MPZ_TYPE,
+  MPZ_ZERO, MPZ_ONE, MPZ_TWO, MPZ_THREE, MPZ_FIVE, int_types,
+  HASH_MODULUS, HASH_BITS)