Module special_fun::unsafe_cephes_double

Low-level bindings to double-precision Cephes functions.

This provides access to the C function implemented in Cephes for maximum flexibility.

Functions

• acos^⚠
  Inverse circular cosine.
• acosh^⚠
  Inverse hyperbolic cosine.
• airy^⚠
  Airy function.
• asin^⚠
  Inverse circular sine.
• asinh^⚠
  Inverse hyperbolic sine.
• atan^⚠
  Inverse circular tangent.
• atan2^⚠
  Quadrant-correct inverse circular tangent.
• atanh^⚠
  Inverse hyperbolic tangent.
• bdtr^⚠
  Binomial distribution.
• bdtrc^⚠
  Complemented binomial distribution.
• bdtri^⚠
  Inverse of binomial distribution.
• beta^⚠
  Beta function.
• btdtr^⚠
  Beta distribution.
• cbrt^⚠
  Cube root.
• ceil^⚠
  Smallest integer greater than or equal to x.
• chdtr^⚠
  Chi-square distribution.
• chdtrc^⚠
  Complemented chi-square distribution.
• chdtri^⚠
  Inverse of complemented chi-square distribution.
• cos^⚠
  Circular cosine.
• cosh^⚠
  Hyperbolic cosine.
• cosm1^⚠
  Compute accurately cos(x) - 1 for x close to 0.
• dawsn^⚠
  Dawson’s integral.
• ei^⚠
  Exponential integral.
• ellie^⚠
  Incomplete elliptic integral of the second kind.
• ellik^⚠
  Incomplete elliptic integral of the first kind.
• ellpe^⚠
  Complete elliptic integral of the second kind.
• ellpj^⚠
  Jacobian elliptic function.
• ellpk^⚠
  Complete elliptic integral of the first kind.
• erf^⚠
  Error function.
• erfc^⚠
  Complementary error function.
• exp^⚠
  Exponential function.
• exp2^⚠
  Base 2 exponential function.
• exp10^⚠
  Base 10 exponential function.
• expm1^⚠
  Compute accurately exponential of squared argument.
• expx2^⚠
  Compute accurately exp(x) - 1 for x close to 0.
• fabs^⚠
  Absolute value.
• fac^⚠
  Factorial function.
• fdtr^⚠
  F distribution.
• fdtrc^⚠
  Complemented F distribution.
• fdtri^⚠
  Inverse of complemented F distribution.
• floor^⚠
  Largest integer less than or equal to x.
• fresnl^⚠
  Fresnel integral.
• frexp^⚠
  Return the significand between 0.5 and 1. Write exponent to expnt. x = y * 2**expn
• gamma^⚠
  Gamma function.
• gdtr^⚠
  Gamma distribution.
• gdtrc^⚠
  Complemented gamma distribution.
• hyp2f1^⚠
  Gauss hypergeometric function 2F1.
• hyperg^⚠
  Confluent hypergeometric function 1F1.
• i0^⚠
  Modified Bessel function of order zero.
• i0e^⚠
  Modified Bessel function of order zero, exponentially scaled.
• i1^⚠
  Modified Bessel function of order one.
• i1e^⚠
  Modified Bessel function of order one, exponentially scaled.
• igam^⚠
  Regularized incomplete gamma integral.
• igamc^⚠
  Complemented incomplete gamma integral.
• igami^⚠
  Inverse of complemented incomplete gamma integral.
• incbet^⚠
  Regularized incomplete beta function.
• incbi^⚠
  Inverse of incomplete beta integral.
• isfinite^⚠
  Return 1 if x is finite, else 0.
• isnan^⚠
  Return 1 if x is NaN, else 0.
• iv^⚠
  Modified Bessel function of real order.
• j0^⚠
  Bessel function of order zero.
• j1^⚠
  Bessel function of order one.
• jn^⚠
  Bessel function of integer order.
• jv^⚠
  Bessel function of real order.
• k0^⚠
  Modified Bessel function of the third kind, order zero.
• k0e^⚠
  Modified Bessel function of the third kind, order zero, exponentially scaled.
• k1^⚠
  Modified Bessel function of the third kind, order one.
• k1e^⚠
  Modified Bessel function of the third kind, order one, exponentially scaled.
• kn^⚠
  Modified Bessel function of the third kind, integer order.
• ldexp^⚠
  Multiply x by 2**n.
• lgam^⚠
  Natural logarithm of gamma function.
• log^⚠
  Natural logarithm.
• log1p^⚠
  Compute accurately log(1 + x) for x close to 0.
• log2^⚠
  Base 2 logarithm.
• log10^⚠
  Common logarithm.
• lsqrt^⚠
  Integer square root.
• nbdtr^⚠
  Negative binomial distribution.
• nbdtrc^⚠
  Complemented negative binomial distribution.
• nbdtri^⚠
  Inverse of negative binomial distribution.
• ndtr^⚠
  Normal distribution.
• ndtri^⚠
  Inverse of normal distribution.
• onef2^⚠
  Hypergeometric function 1F2.
• pdtr^⚠
  Poisson distribution.
• pdtrc^⚠
  Complemented Poisson distribution.
• pdtri^⚠
  Inverse of Poisson distribution.
• plancki^⚠
  Integral of Planck’s black body radiation formula.
• pow^⚠
  Power function.
• powi^⚠
  Integer power function.
• psi^⚠
  Psi (digamma) function.
• rgamma^⚠
  Reciprocal gamma function.
• round^⚠
  Round to nearest or event integer valued f64.
• shichi^⚠
  Hyperbolic sine and cosine integrals.
• sici^⚠
  Sine and cosine integrals.
• signbit^⚠
  Return 1 if the sign bit of x is 1, else 0.
• sin^⚠
  Circular sine.
• sinh^⚠
  Hyperbolic sine.
• spence^⚠
  Dilogarithm (Spence’s function).
• sqrt^⚠
  Square root.
• stdtr^⚠
  Student’s t distribution.
• stdtri^⚠
  Inverse of Student’s t distribution.
• struve^⚠
  Struve function.
• tan^⚠
  Circular tangent.
• tanh^⚠
  Hyperbolic tangent.
• threef0^⚠
  Hypergeometric function 3F0.
• y0^⚠
  Bessel function of the second kind, order zero.
• y1^⚠
  Bessel function of the second kind, order one.
• yn^⚠
  Bessel function of the second kind, integer order.
• yv^⚠
  Bessel function of the second kind, real order.
• zeta^⚠
  Riemann zeta function of two arguments.
• zetac^⚠
  Riemann zeta function.