mpmath の API リファレンス

mpmath (mpmath/mpmath) の公開 API 75 件 —— クラス 14、関数 59、メソッド 2。実際のソースを静的解析して抽出した正確なシグネチャを掲載しています。

リポジトリ: mpmath/mpmath

種別	件数
クラス	14
関数	59
メソッド	2

API 一覧

classmpmath.__main__.MpmathConsole

An interactive console with readline support.

classmpmath.calculus.optimization.Bisection

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Brent

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Halley

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Illinois

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.MNewton

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.ModAB

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Muller

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Newton

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Ridder

1d-solver generating pairs of approximative root and error.

classmpmath.calculus.optimization.Secant

1d-solver generating pairs of approximative root and error.

classmpmath.ctx_iv.ivmpf

Interval arithmetic class.

classmpmath.ctx_mp.MPContext

Context for multiple precision floatng-point arithmetic.

methodmpmath.ctx_mp.MPContext.isnpint(x)

Determine if *x* is a nonpositive integer.

methodmpmath.ctx_mp.MPContext.ldexp(x, n)

Computes `x 2^n` efficiently.

classmpmath.ctx_mp_python.mpnumeric

Base class for mpf and mpc.

funcmpmath.functions.bessel.j0(ctx, x)

Computes the Bessel function `J_0(x)`.

funcmpmath.functions.bessel.j1(ctx, x)

Computes the Bessel function `J_1(x)`.

funcmpmath.functions.qfunctions.qfac(ctx, z, q, *maxterms=None)

Evaluates the q-factorial, ..

funcmpmath.functions.qfunctions.qgamma(ctx, z, q, *maxterms=None)

Evaluates the q-gamma function ..

funcmpmath.functions.rszeta.z_half(ctx, t, der=0)

z_half(t,der=0) Computes Z^(der)(t)

funcmpmath.functions.rszeta.zeta_offline(ctx, s, k=0)

Computes zeta^(k)(s) off the line

funcmpmath.functions.zetazeros.search_supergood_block(ctx, n, fp_tolerance)

To use for n>400 000 000

funcmpmath.functions.zetazeros.wpzeros(t)

Precision needed to compute higher zeros

funcmpmath.libfp.zeta(s, **kwargs)

Riemann zeta function, real argument

funcmpmath.libmp.gammazeta.zeta_array(N, prec)

zeta(n) = A * pi**n / n!

funcmpmath.libmp.libelefun.e_fixed(prec)

Computes exp(1).

funcmpmath.libmp.libelefun.exp_basecase(x, prec)

Compute exp(x) as a fixed-point number.

funcmpmath.libmp.libelefun.exp_expneg_basecase(x, prec)

Computation of exp(x), exp(-x)

funcmpmath.libmp.libelefun.exponential_series(x, prec, type=0)

Taylor series for cosh/sinh or cos/sin.

funcmpmath.libmp.libelefun.ln10_fixed(prec)

Computes ln(10).

funcmpmath.libmp.libelefun.ln2_fixed(prec)

Computes ln(2).

funcmpmath.libmp.libelefun.log_taylor(x, prec, r=0)

Fixed-point calculation of log(x).

funcmpmath.libmp.libelefun.mpf_cbrt(s, prec, rnd=round_down)

cubic root of a positive number

funcmpmath.libmp.libelefun.mpf_log1p(x, prec, rnd=round_down)

Computes log(1+x) accurately.

funcmpmath.libmp.libelefun.mpf_pow(s, t, prec, rnd=round_down)

Compute s**t.

funcmpmath.libmp.libelefun.phi_fixed(prec)

Computes the golden ratio, (1+sqrt(5))/2

funcmpmath.libmp.libhyper.mpc_agm(a, b, prec, rnd=round_down)

Complex AGM.

funcmpmath.libmp.libhyper.mpf_ci_si_taylor(x, wp, which=0)

0 - Ci(x) - (euler+log(x)) 1 - Si(x)

funcmpmath.libmp.libintmath.ifac2(n, memo_pair=[{0: 1}, {1: 1}])

Return n!!

funcmpmath.libmp.libintmath.isprime(n)

Determines whether n is a prime number.

funcmpmath.libmp.libintmath.jacobi_symbol(m, n)

Returns the Jacobi symbol (m / n).

funcmpmath.libmp.libintmath.lshift(x, n)

For an integer x, calculate x << n.

funcmpmath.libmp.libintmath.stirling1(n, k)

Stirling number of the first kind.

funcmpmath.libmp.libintmath.stirling2(n, k)

Stirling number of the second kind.

funcmpmath.libmp.libintmath.trailing(n)

Count the number of trailing zero bits in abs(n).

funcmpmath.libmp.libmpc.mpc_arg(z, prec, rnd=round_down)

Argument of a complex number.

funcmpmath.libmp.libmpc.mpc_cbrt(z, prec, rnd=round_down)

Complex cubic root.

funcmpmath.libmp.libmpc.mpc_cos(z, prec, rnd=round_down)

Complex cosine.

funcmpmath.libmp.libmpc.mpc_cosh(z, prec, rnd=round_down)

Complex hyperbolic cosine.

funcmpmath.libmp.libmpc.mpc_div_mpf(z, p, prec, rnd=round_down)

Calculate z/p where p is real

funcmpmath.libmp.libmpc.mpc_exp(z, prec, rnd=round_down)

Complex exponential function.

funcmpmath.libmp.libmpc.mpc_mul(z, w, prec, rnd=round_down)

Complex multiplication.

funcmpmath.libmp.libmpc.mpc_nthroot(z, n, prec, rnd=round_down)

Complex n-th root.

funcmpmath.libmp.libmpc.mpc_reciprocal(z, prec, rnd=round_down)

Calculate 1/z efficiently

funcmpmath.libmp.libmpc.mpc_sin(z, prec, rnd=round_down)

Complex sine.

funcmpmath.libmp.libmpc.mpc_sinh(z, prec, rnd=round_down)

Complex hyperbolic sine.

funcmpmath.libmp.libmpc.mpc_sqrt(z, prec, rnd=round_down)

Complex square root (principal branch).

funcmpmath.libmp.libmpc.mpc_tan(z, prec, rnd=round_down)

Complex tangent.

funcmpmath.libmp.libmpc.mpc_tanh(z, prec, rnd=round_down)

Complex hyperbolic tangent.

funcmpmath.libmp.libmpf.from_int(n, prec=0, rnd=round_down)

Create a raw mpf from an integer.

funcmpmath.libmp.libmpf.from_man_exp(man, exp, prec=0, rnd=round_down)

Create raw mpf from (man, exp) pair.

funcmpmath.libmp.libmpf.gmpy_mpf_mul_int(s, n, prec, rnd=round_down)

Multiply by a Python integer.

funcmpmath.libmp.libmpf.mpf_add(s, t, prec=0, rnd=round_down, _sub=0)

Add the two raw mpf values s and t.

funcmpmath.libmp.libmpf.mpf_cmp(s, t)

Compare the raw mpfs s and t.

funcmpmath.libmp.libmpf.mpf_div(s, t, prec, rnd=round_down)

Floating-point division

funcmpmath.libmp.libmpf.mpf_eq(s, t)

Test equality of two raw mpfs.

funcmpmath.libmp.libmpf.mpf_mul(s, t, prec=0, rnd=round_down)

Multiply two raw mpfs

funcmpmath.libmp.libmpf.mpf_sub(s, t, prec=0, rnd=round_down)

Return the difference of two raw mpfs, s-t.

funcmpmath.libmp.libmpf.python_mpf_mul_int(s, n, prec, rnd=round_down)

Multiply by a Python integer.

funcmpmath.libmp.libmpf.str_to_man_exp(x, base=10)

Helper function for from_str.

funcmpmath.libmp.libmpf.to_float(s, strict=False, rnd=round_down)

Convert a raw mpf to a Python float.

funcmpmath.libmp.libmpf.to_int(s, rnd=round_down)

Convert a raw mpf to the nearest int.

funcmpmath.libmp.libmpf.to_man_exp(s, signed=True)

Return (man, exp) of a raw mpf.

funcmpmath.libmp.libmpf.to_rational(s)

Convert a raw mpf to a rational number.

この情報について

掲載しているシグネチャは mpmath/mpmath の公開ソースコードを Python の ast モジュールで静的解析し、引数名・デフォルト値・型注釈・戻り値型をそのまま抽出したものです。実装コードは保存していません。詳しくは仕組みの解説をご覧ください。

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