{-| module : Data.Number.Flint.Arb.FpWrap.FFI copyright : (c) 2022 Hartmut Monien license : GNU GPL, version 2 or above (see LICENSE) maintainer : hmonien@uni-bonn.de -} module Data.Number.Flint.Arb.FpWrap.FFI ( -- * Floating-point wrappers of Arb mathematical functions -- * Option and return flags FpWrapReturn (..) , fpwrap_success , fpwrap_unable , fpwrap_accurate_parts , fpwrap_correct_rounding , fpwrap_work_limit -- * Elementary functions , arb_fpwrap_double_exp , arb_fpwrap_cdouble_exp , arb_fpwrap_double_expm1 , arb_fpwrap_cdouble_expm1 , arb_fpwrap_double_log , arb_fpwrap_cdouble_log , arb_fpwrap_double_log1p , arb_fpwrap_cdouble_log1p , arb_fpwrap_double_pow , arb_fpwrap_cdouble_pow , arb_fpwrap_double_sqrt , arb_fpwrap_cdouble_sqrt , arb_fpwrap_double_rsqrt , arb_fpwrap_cdouble_rsqrt , arb_fpwrap_double_cbrt , arb_fpwrap_cdouble_cbrt , arb_fpwrap_double_sin , arb_fpwrap_cdouble_sin , arb_fpwrap_double_cos , arb_fpwrap_cdouble_cos , arb_fpwrap_double_tan , arb_fpwrap_cdouble_tan , arb_fpwrap_double_cot , arb_fpwrap_cdouble_cot , arb_fpwrap_double_sec , arb_fpwrap_cdouble_sec , arb_fpwrap_double_csc , arb_fpwrap_cdouble_csc , arb_fpwrap_double_sinc , arb_fpwrap_cdouble_sinc , arb_fpwrap_double_sin_pi , arb_fpwrap_cdouble_sin_pi , arb_fpwrap_double_cos_pi , arb_fpwrap_cdouble_cos_pi , arb_fpwrap_double_tan_pi , arb_fpwrap_cdouble_tan_pi , arb_fpwrap_double_cot_pi , arb_fpwrap_cdouble_cot_pi , arb_fpwrap_double_sinc_pi , arb_fpwrap_cdouble_sinc_pi , arb_fpwrap_double_asin , arb_fpwrap_cdouble_asin , arb_fpwrap_double_acos , arb_fpwrap_cdouble_acos , arb_fpwrap_double_atan , arb_fpwrap_cdouble_atan , arb_fpwrap_double_atan2 , arb_fpwrap_double_asinh , arb_fpwrap_cdouble_asinh , arb_fpwrap_double_acosh , arb_fpwrap_cdouble_acosh , arb_fpwrap_double_atanh , arb_fpwrap_cdouble_atanh , arb_fpwrap_double_lambertw , arb_fpwrap_cdouble_lambertw -- * Gamma, zeta and related functions , arb_fpwrap_double_rising , arb_fpwrap_cdouble_rising , arb_fpwrap_double_gamma , arb_fpwrap_cdouble_gamma , arb_fpwrap_double_rgamma , arb_fpwrap_cdouble_rgamma , arb_fpwrap_double_lgamma , arb_fpwrap_cdouble_lgamma , arb_fpwrap_double_digamma , arb_fpwrap_cdouble_digamma , arb_fpwrap_double_zeta , arb_fpwrap_cdouble_zeta , arb_fpwrap_double_hurwitz_zeta , arb_fpwrap_cdouble_hurwitz_zeta , arb_fpwrap_double_lerch_phi , arb_fpwrap_cdouble_lerch_phi , arb_fpwrap_double_barnes_g , arb_fpwrap_cdouble_barnes_g , arb_fpwrap_double_log_barnes_g , arb_fpwrap_cdouble_log_barnes_g , arb_fpwrap_double_polygamma , arb_fpwrap_cdouble_polygamma , arb_fpwrap_double_polylog , arb_fpwrap_cdouble_polylog , arb_fpwrap_cdouble_dirichlet_eta , arb_fpwrap_cdouble_riemann_xi , arb_fpwrap_cdouble_hardy_theta , arb_fpwrap_cdouble_hardy_z , arb_fpwrap_cdouble_zeta_zero -- * Error functions and exponential integrals , arb_fpwrap_double_erf , arb_fpwrap_cdouble_erf , arb_fpwrap_double_erfc , arb_fpwrap_cdouble_erfc , arb_fpwrap_double_erfi , arb_fpwrap_cdouble_erfi , arb_fpwrap_double_erfinv , arb_fpwrap_double_erfcinv , arb_fpwrap_double_fresnel_s , arb_fpwrap_cdouble_fresnel_s , arb_fpwrap_double_fresnel_c , arb_fpwrap_cdouble_fresnel_c , arb_fpwrap_double_gamma_upper , arb_fpwrap_cdouble_gamma_upper , arb_fpwrap_double_gamma_lower , arb_fpwrap_cdouble_gamma_lower , arb_fpwrap_double_beta_lower , arb_fpwrap_cdouble_beta_lower , arb_fpwrap_double_exp_integral_e , arb_fpwrap_cdouble_exp_integral_e , arb_fpwrap_double_exp_integral_ei , arb_fpwrap_cdouble_exp_integral_ei , arb_fpwrap_double_sin_integral , arb_fpwrap_cdouble_sin_integral , arb_fpwrap_double_cos_integral , arb_fpwrap_cdouble_cos_integral , arb_fpwrap_double_sinh_integral , arb_fpwrap_cdouble_sinh_integral , arb_fpwrap_double_cosh_integral , arb_fpwrap_cdouble_cosh_integral , arb_fpwrap_double_log_integral , arb_fpwrap_cdouble_log_integral , arb_fpwrap_double_dilog , arb_fpwrap_cdouble_dilog -- * Bessel, Airy and Coulomb functions , arb_fpwrap_double_bessel_j , arb_fpwrap_cdouble_bessel_j , arb_fpwrap_double_bessel_y , arb_fpwrap_cdouble_bessel_y , arb_fpwrap_double_bessel_i , arb_fpwrap_cdouble_bessel_i , arb_fpwrap_double_bessel_k , arb_fpwrap_cdouble_bessel_k , arb_fpwrap_double_bessel_k_scaled , arb_fpwrap_cdouble_bessel_k_scaled , arb_fpwrap_double_airy_ai , arb_fpwrap_cdouble_airy_ai , arb_fpwrap_double_airy_ai_prime , arb_fpwrap_cdouble_airy_ai_prime , arb_fpwrap_double_airy_bi , arb_fpwrap_cdouble_airy_bi , arb_fpwrap_double_airy_bi_prime , arb_fpwrap_cdouble_airy_bi_prime , arb_fpwrap_double_airy_ai_zero , arb_fpwrap_double_airy_ai_prime_zero , arb_fpwrap_double_airy_bi_zero , arb_fpwrap_double_airy_bi_prime_zero , arb_fpwrap_double_coulomb_f , arb_fpwrap_cdouble_coulomb_f , arb_fpwrap_double_coulomb_g , arb_fpwrap_cdouble_coulomb_g , arb_fpwrap_cdouble_coulomb_hpos , arb_fpwrap_cdouble_coulomb_hneg -- * Orthogonal polynomials , arb_fpwrap_double_chebyshev_t , arb_fpwrap_cdouble_chebyshev_t , arb_fpwrap_double_chebyshev_u , arb_fpwrap_cdouble_chebyshev_u , arb_fpwrap_double_jacobi_p , arb_fpwrap_cdouble_jacobi_p , arb_fpwrap_double_gegenbauer_c , arb_fpwrap_cdouble_gegenbauer_c , arb_fpwrap_double_laguerre_l , arb_fpwrap_cdouble_laguerre_l , arb_fpwrap_double_hermite_h , arb_fpwrap_cdouble_hermite_h , arb_fpwrap_double_legendre_p , arb_fpwrap_cdouble_legendre_p , arb_fpwrap_double_legendre_q , arb_fpwrap_cdouble_legendre_q , arb_fpwrap_double_legendre_root , arb_fpwrap_cdouble_spherical_y -- * Hypergeometric functions , arb_fpwrap_double_hypgeom_0f1 , arb_fpwrap_cdouble_hypgeom_0f1 , arb_fpwrap_double_hypgeom_1f1 , arb_fpwrap_cdouble_hypgeom_1f1 , arb_fpwrap_double_hypgeom_u , arb_fpwrap_cdouble_hypgeom_u , arb_fpwrap_double_hypgeom_2f1 , arb_fpwrap_cdouble_hypgeom_2f1 , arb_fpwrap_double_hypgeom_pfq , arb_fpwrap_cdouble_hypgeom_pfq -- * Elliptic integrals, elliptic functions and modular forms , arb_fpwrap_double_agm , arb_fpwrap_cdouble_agm , arb_fpwrap_cdouble_elliptic_k , arb_fpwrap_cdouble_elliptic_e , arb_fpwrap_cdouble_elliptic_pi , arb_fpwrap_cdouble_elliptic_f , arb_fpwrap_cdouble_elliptic_e_inc , arb_fpwrap_cdouble_elliptic_pi_inc , arb_fpwrap_cdouble_elliptic_rf , arb_fpwrap_cdouble_elliptic_rg , arb_fpwrap_cdouble_elliptic_rj , arb_fpwrap_cdouble_elliptic_p , arb_fpwrap_cdouble_elliptic_p_prime , arb_fpwrap_cdouble_elliptic_inv_p , arb_fpwrap_cdouble_elliptic_zeta , arb_fpwrap_cdouble_elliptic_sigma , arb_fpwrap_cdouble_jacobi_theta_1 , arb_fpwrap_cdouble_jacobi_theta_2 , arb_fpwrap_cdouble_jacobi_theta_3 , arb_fpwrap_cdouble_jacobi_theta_4 , arb_fpwrap_cdouble_dedekind_eta , arb_fpwrap_cdouble_modular_j , arb_fpwrap_cdouble_modular_lambda , arb_fpwrap_cdouble_modular_delta ) where -- Floating-point wrappers of Arb mathematical functions ----------------------- import Foreign.Ptr import Foreign.C.Types import Foreign.Storable import Data.Complex #include -------------------------------------------------------------------------------- -- | Return type for fpwrap functions newtype FpWrapReturn = FpWrapReturn { _FpWrapReturn :: CInt } deriving (Show, Eq) -- | Indicates an accurate result. (Up to inevitable underflow or -- overflow in the final conversion to a floating-point result; see -- above.) -- -- This flag has the numerical value 0. fpwrap_success = FpWrapReturn #const FPWRAP_SUCCESS -- | Indicates failure (unable to achieve to target accuracy, possibly -- because of a singularity). The output is set to NaN. -- -- This flag has the numerical value 1. -- Functions take a flags parameter specifying optional rounding and termination behavior. This can be set to 0 to use defaults. fpwrap_unable = FpWrapReturn #const FPWRAP_UNABLE -- | For complex output, compute both real and imaginary parts to full -- relative accuracy. By default (if this flag is not set), complex -- results are computed to at least 53-bit accuracy as a whole, but if -- either the real or imaginary part is much smaller than the other, -- that part can have a large relative error. Setting this flag can -- result in slower evaluation or failure to converge in some cases. -- -- This flag has the numerical value 1. fpwrap_accurate_parts = FpWrapReturn #const FPWRAP_ACCURATE_PARTS -- | Guarantees correct rounding. By default (if this flag is not -- set), real results are accurate up to the rounding of the last bit, -- but the last bit is not guaranteed to be rounded optimally. Setting -- this flag can result in slower evaluation or failure to converge in -- some cases. Correct rounding automatically applies to both real and -- imaginary parts of complex numbers, so it is unnecessary to set -- both this flag and FPWRAP_ACCURATE_PARTS. -- -- This flag has the numerical value 2. fpwrap_correct_rounding = FpWrapReturn #const FPWRAP_CORRECT_ROUNDING -- | Multiplied by an integer, specifies the maximum working precision -- to use before giving up. With n * FPWRAP_WORK_LIMIT added to flags, -- levels of precision will be used. The default is equivalent to , -- which for double means trying with a working precision of 64, 128, -- 256, 512, 1024, 2048, 4096, 8192 bits. With flags = 2 * -- FPWRAP_WORK_LIMIT, we only try 64 and 128 bits, and with flags = 16 -- * FPWRAP_WORK_LIMIT we go up to 2097152 bits. -- -- This flag has the numerical value 65536. fpwrap_work_limit = FpWrapReturn #const FPWRAP_WORK_LIMIT -- Functions ------------------------------------------------------------------- -- Elementary functions -------------------------------------------------------- -- | /arb_fpwrap_double_exp/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_exp_" arb_fpwrap_double_exp :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_exp/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_exp_" arb_fpwrap_cdouble_exp :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_expm1/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_expm1_" arb_fpwrap_double_expm1 :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_expm1/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_expm1_" arb_fpwrap_cdouble_expm1 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_log/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_log_" arb_fpwrap_double_log :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_log/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_log_" arb_fpwrap_cdouble_log :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_log1p/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_log1p_" arb_fpwrap_double_log1p :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_log1p/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_log1p_" arb_fpwrap_cdouble_log1p :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_pow/ /res/ /x/ /y/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_pow_" arb_fpwrap_double_pow :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_pow/ /res/ /x/ /y/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_pow_" arb_fpwrap_cdouble_pow :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sqrt/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sqrt_" arb_fpwrap_double_sqrt :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sqrt/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sqrt_" arb_fpwrap_cdouble_sqrt :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_rsqrt/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_rsqrt_" arb_fpwrap_double_rsqrt :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_rsqrt/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_rsqrt_" arb_fpwrap_cdouble_rsqrt :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cbrt/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cbrt_" arb_fpwrap_double_cbrt :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cbrt/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cbrt_" arb_fpwrap_cdouble_cbrt :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sin/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sin_" arb_fpwrap_double_sin :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sin/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sin_" arb_fpwrap_cdouble_sin :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cos/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cos_" arb_fpwrap_double_cos :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cos/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cos_" arb_fpwrap_cdouble_cos :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_tan/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_tan_" arb_fpwrap_double_tan :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_tan/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_tan_" arb_fpwrap_cdouble_tan :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cot/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cot_" arb_fpwrap_double_cot :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cot/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cot_" arb_fpwrap_cdouble_cot :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sec/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sec_" arb_fpwrap_double_sec :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sec/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sec_" arb_fpwrap_cdouble_sec :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_csc/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_csc_" arb_fpwrap_double_csc :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_csc/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_csc_" arb_fpwrap_cdouble_csc :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sinc/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sinc_" arb_fpwrap_double_sinc :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sinc/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sinc_" arb_fpwrap_cdouble_sinc :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sin_pi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sin_pi_" arb_fpwrap_double_sin_pi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sin_pi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sin_pi_" arb_fpwrap_cdouble_sin_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cos_pi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cos_pi_" arb_fpwrap_double_cos_pi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cos_pi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cos_pi_" arb_fpwrap_cdouble_cos_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_tan_pi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_tan_pi_" arb_fpwrap_double_tan_pi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_tan_pi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_tan_pi_" arb_fpwrap_cdouble_tan_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cot_pi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cot_pi_" arb_fpwrap_double_cot_pi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cot_pi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cot_pi_" arb_fpwrap_cdouble_cot_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sinc_pi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sinc_pi_" arb_fpwrap_double_sinc_pi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sinc_pi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sinc_pi_" arb_fpwrap_cdouble_sinc_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_asin/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_asin_" arb_fpwrap_double_asin :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_asin/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_asin_" arb_fpwrap_cdouble_asin :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_acos/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_acos_" arb_fpwrap_double_acos :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_acos/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_acos_" arb_fpwrap_cdouble_acos :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_atan/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_atan_" arb_fpwrap_double_atan :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_atan/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_atan_" arb_fpwrap_cdouble_atan :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_atan2/ /res/ /x1/ /x2/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_atan2_" arb_fpwrap_double_atan2 :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_asinh/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_asinh_" arb_fpwrap_double_asinh :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_asinh/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_asinh_" arb_fpwrap_cdouble_asinh :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_acosh/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_acosh_" arb_fpwrap_double_acosh :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_acosh/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_acosh_" arb_fpwrap_cdouble_acosh :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_atanh/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_atanh_" arb_fpwrap_double_atanh :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_atanh/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_atanh_" arb_fpwrap_cdouble_atanh :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_lambertw/ /res/ /x/ /branch/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_lambertw_" arb_fpwrap_double_lambertw :: Ptr CDouble -> CDouble -> CLong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_lambertw/ /res/ /x/ /branch/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_lambertw_" arb_fpwrap_cdouble_lambertw :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CLong -> CInt -> IO FpWrapReturn -- Gamma, zeta and related functions ------------------------------------------- -- | /arb_fpwrap_double_rising/ /res/ /x/ /n/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_rising_" arb_fpwrap_double_rising :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_rising/ /res/ /x/ /n/ /flags/ -- -- Rising factorial. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_rising_" arb_fpwrap_cdouble_rising :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_gamma/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_gamma_" arb_fpwrap_double_gamma :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_gamma/ /res/ /x/ /flags/ -- -- Gamma function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_gamma_" arb_fpwrap_cdouble_gamma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_rgamma/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_rgamma_" arb_fpwrap_double_rgamma :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_rgamma/ /res/ /x/ /flags/ -- -- Reciprocal gamma function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_rgamma_" arb_fpwrap_cdouble_rgamma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_lgamma/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_lgamma_" arb_fpwrap_double_lgamma :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_lgamma/ /res/ /x/ /flags/ -- -- Log-gamma function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_lgamma_" arb_fpwrap_cdouble_lgamma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_digamma/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_digamma_" arb_fpwrap_double_digamma :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_digamma/ /res/ /x/ /flags/ -- -- Digamma function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_digamma_" arb_fpwrap_cdouble_digamma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_zeta/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_zeta_" arb_fpwrap_double_zeta :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_zeta/ /res/ /x/ /flags/ -- -- Riemann zeta function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_zeta_" arb_fpwrap_cdouble_zeta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hurwitz_zeta/ /res/ /s/ /z/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hurwitz_zeta_" arb_fpwrap_double_hurwitz_zeta :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hurwitz_zeta/ /res/ /s/ /z/ /flags/ -- -- Hurwitz zeta function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hurwitz_zeta_" arb_fpwrap_cdouble_hurwitz_zeta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_lerch_phi/ /res/ /z/ /s/ /a/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_lerch_phi_" arb_fpwrap_double_lerch_phi :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_lerch_phi/ /res/ /z/ /s/ /a/ /flags/ -- -- Lerch transcendent. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_lerch_phi_" arb_fpwrap_cdouble_lerch_phi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_barnes_g/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_barnes_g_" arb_fpwrap_double_barnes_g :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_barnes_g/ /res/ /x/ /flags/ -- -- Barnes G-function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_barnes_g_" arb_fpwrap_cdouble_barnes_g :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_log_barnes_g/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_log_barnes_g_" arb_fpwrap_double_log_barnes_g :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_log_barnes_g/ /res/ /x/ /flags/ -- -- Logarithmic Barnes G-function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_log_barnes_g_" arb_fpwrap_cdouble_log_barnes_g :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_polygamma/ /res/ /s/ /z/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_polygamma_" arb_fpwrap_double_polygamma :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_polygamma/ /res/ /s/ /z/ /flags/ -- -- Polygamma function. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_polygamma_" arb_fpwrap_cdouble_polygamma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_polylog/ /res/ /s/ /z/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_polylog_" arb_fpwrap_double_polylog :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_polylog/ /res/ /s/ /z/ /flags/ -- -- Polylogarithm. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_polylog_" arb_fpwrap_cdouble_polylog :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_dirichlet_eta/ /res/ /s/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_dirichlet_eta_" arb_fpwrap_cdouble_dirichlet_eta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_riemann_xi/ /res/ /s/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_riemann_xi_" arb_fpwrap_cdouble_riemann_xi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hardy_theta/ /res/ /z/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hardy_theta_" arb_fpwrap_cdouble_hardy_theta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hardy_z/ /res/ /z/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hardy_z_" arb_fpwrap_cdouble_hardy_z :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_zeta_zero/ /res/ /n/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_zeta_zero_" arb_fpwrap_cdouble_zeta_zero :: Ptr (Complex CDouble) -> CULong -> CInt -> IO FpWrapReturn -- Error functions and exponential integrals ----------------------------------- -- | /arb_fpwrap_double_erf/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_erf_" arb_fpwrap_double_erf :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_erf/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_erf_" arb_fpwrap_cdouble_erf :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_erfc/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_erfc_" arb_fpwrap_double_erfc :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_erfc/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_erfc_" arb_fpwrap_cdouble_erfc :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_erfi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_erfi_" arb_fpwrap_double_erfi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_erfi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_erfi_" arb_fpwrap_cdouble_erfi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_erfinv/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_erfinv_" arb_fpwrap_double_erfinv :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_erfcinv/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_erfcinv_" arb_fpwrap_double_erfcinv :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_fresnel_s/ /res/ /x/ /normalized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_fresnel_s_" arb_fpwrap_double_fresnel_s :: Ptr CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_fresnel_s/ /res/ /x/ /normalized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_fresnel_s_" arb_fpwrap_cdouble_fresnel_s :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_fresnel_c/ /res/ /x/ /normalized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_fresnel_c_" arb_fpwrap_double_fresnel_c :: Ptr CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_fresnel_c/ /res/ /x/ /normalized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_fresnel_c_" arb_fpwrap_cdouble_fresnel_c :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_gamma_upper/ /res/ /s/ /z/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_gamma_upper_" arb_fpwrap_double_gamma_upper :: Ptr CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_gamma_upper/ /res/ /s/ /z/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_gamma_upper_" arb_fpwrap_cdouble_gamma_upper :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_gamma_lower/ /res/ /s/ /z/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_gamma_lower_" arb_fpwrap_double_gamma_lower :: Ptr CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_gamma_lower/ /res/ /s/ /z/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_gamma_lower_" arb_fpwrap_cdouble_gamma_lower :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_beta_lower/ /res/ /a/ /b/ /z/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_beta_lower_" arb_fpwrap_double_beta_lower :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_beta_lower/ /res/ /a/ /b/ /z/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_beta_lower_" arb_fpwrap_cdouble_beta_lower :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_exp_integral_e/ /res/ /s/ /z/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_exp_integral_e_" arb_fpwrap_double_exp_integral_e :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_exp_integral_e/ /res/ /s/ /z/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_exp_integral_e_" arb_fpwrap_cdouble_exp_integral_e :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_exp_integral_ei/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_exp_integral_ei_" arb_fpwrap_double_exp_integral_ei :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_exp_integral_ei/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_exp_integral_ei_" arb_fpwrap_cdouble_exp_integral_ei :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sin_integral/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sin_integral_" arb_fpwrap_double_sin_integral :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sin_integral/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sin_integral_" arb_fpwrap_cdouble_sin_integral :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cos_integral/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cos_integral_" arb_fpwrap_double_cos_integral :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cos_integral/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cos_integral_" arb_fpwrap_cdouble_cos_integral :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_sinh_integral/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_sinh_integral_" arb_fpwrap_double_sinh_integral :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_sinh_integral/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_sinh_integral_" arb_fpwrap_cdouble_sinh_integral :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_cosh_integral/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_cosh_integral_" arb_fpwrap_double_cosh_integral :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_cosh_integral/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_cosh_integral_" arb_fpwrap_cdouble_cosh_integral :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_log_integral/ /res/ /x/ /offset/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_log_integral_" arb_fpwrap_double_log_integral :: Ptr CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_log_integral/ /res/ /x/ /offset/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_log_integral_" arb_fpwrap_cdouble_log_integral :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_dilog/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_dilog_" arb_fpwrap_double_dilog :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_dilog/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_dilog_" arb_fpwrap_cdouble_dilog :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- Bessel, Airy and Coulomb functions ------------------------------------------ -- | /arb_fpwrap_double_bessel_j/ /res/ /nu/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_bessel_j_" arb_fpwrap_double_bessel_j :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_bessel_j/ /res/ /nu/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_bessel_j_" arb_fpwrap_cdouble_bessel_j :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_bessel_y/ /res/ /nu/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_bessel_y_" arb_fpwrap_double_bessel_y :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_bessel_y/ /res/ /nu/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_bessel_y_" arb_fpwrap_cdouble_bessel_y :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_bessel_i/ /res/ /nu/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_bessel_i_" arb_fpwrap_double_bessel_i :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_bessel_i/ /res/ /nu/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_bessel_i_" arb_fpwrap_cdouble_bessel_i :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_bessel_k/ /res/ /nu/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_bessel_k_" arb_fpwrap_double_bessel_k :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_bessel_k/ /res/ /nu/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_bessel_k_" arb_fpwrap_cdouble_bessel_k :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_bessel_k_scaled/ /res/ /nu/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_bessel_k_scaled_" arb_fpwrap_double_bessel_k_scaled :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_bessel_k_scaled/ /res/ /nu/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_bessel_k_scaled_" arb_fpwrap_cdouble_bessel_k_scaled :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_ai/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_ai_" arb_fpwrap_double_airy_ai :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_airy_ai/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_airy_ai_" arb_fpwrap_cdouble_airy_ai :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_ai_prime/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_ai_prime_" arb_fpwrap_double_airy_ai_prime :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_airy_ai_prime/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_airy_ai_prime_" arb_fpwrap_cdouble_airy_ai_prime :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_bi/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_bi_" arb_fpwrap_double_airy_bi :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_airy_bi/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_airy_bi_" arb_fpwrap_cdouble_airy_bi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_bi_prime/ /res/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_bi_prime_" arb_fpwrap_double_airy_bi_prime :: Ptr CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_airy_bi_prime/ /res/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_airy_bi_prime_" arb_fpwrap_cdouble_airy_bi_prime :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_ai_zero/ /res/ /n/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_ai_zero_" arb_fpwrap_double_airy_ai_zero :: Ptr CDouble -> CULong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_ai_prime_zero/ /res/ /n/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_ai_prime_zero_" arb_fpwrap_double_airy_ai_prime_zero :: Ptr CDouble -> CULong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_bi_zero/ /res/ /n/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_bi_zero_" arb_fpwrap_double_airy_bi_zero :: Ptr CDouble -> CULong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_airy_bi_prime_zero/ /res/ /n/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_double_airy_bi_prime_zero_" arb_fpwrap_double_airy_bi_prime_zero :: Ptr CDouble -> CULong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_coulomb_f/ /res/ /l/ /eta/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_coulomb_f_" arb_fpwrap_double_coulomb_f :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_coulomb_f/ /res/ /l/ /eta/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_coulomb_f_" arb_fpwrap_cdouble_coulomb_f :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_coulomb_g/ /res/ /l/ /eta/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_coulomb_g_" arb_fpwrap_double_coulomb_g :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_coulomb_g/ /res/ /l/ /eta/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_coulomb_g_" arb_fpwrap_cdouble_coulomb_g :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_coulomb_hpos/ /res/ /l/ /eta/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_coulomb_hpos_" arb_fpwrap_cdouble_coulomb_hpos :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_coulomb_hneg/ /res/ /l/ /eta/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_coulomb_hneg_" arb_fpwrap_cdouble_coulomb_hneg :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- Orthogonal polynomials ------------------------------------------------------ -- | /arb_fpwrap_double_chebyshev_t/ /res/ /n/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_chebyshev_t_" arb_fpwrap_double_chebyshev_t :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_chebyshev_t/ /res/ /n/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_chebyshev_t_" arb_fpwrap_cdouble_chebyshev_t :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_chebyshev_u/ /res/ /n/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_chebyshev_u_" arb_fpwrap_double_chebyshev_u :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_chebyshev_u/ /res/ /n/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_chebyshev_u_" arb_fpwrap_cdouble_chebyshev_u :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_jacobi_p/ /res/ /n/ /a/ /b/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_jacobi_p_" arb_fpwrap_double_jacobi_p :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_jacobi_p/ /res/ /n/ /a/ /b/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_jacobi_p_" arb_fpwrap_cdouble_jacobi_p :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_gegenbauer_c/ /res/ /n/ /m/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_gegenbauer_c_" arb_fpwrap_double_gegenbauer_c :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_gegenbauer_c/ /res/ /n/ /m/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_gegenbauer_c_" arb_fpwrap_cdouble_gegenbauer_c :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_laguerre_l/ /res/ /n/ /m/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_laguerre_l_" arb_fpwrap_double_laguerre_l :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_laguerre_l/ /res/ /n/ /m/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_laguerre_l_" arb_fpwrap_cdouble_laguerre_l :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hermite_h/ /res/ /n/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hermite_h_" arb_fpwrap_double_hermite_h :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hermite_h/ /res/ /n/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hermite_h_" arb_fpwrap_cdouble_hermite_h :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_legendre_p/ /res/ /n/ /m/ /x/ /type/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_legendre_p_" arb_fpwrap_double_legendre_p :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_legendre_p/ /res/ /n/ /m/ /x/ /type/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_legendre_p_" arb_fpwrap_cdouble_legendre_p :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_legendre_q/ /res/ /n/ /m/ /x/ /type/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_legendre_q_" arb_fpwrap_double_legendre_q :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_legendre_q/ /res/ /n/ /m/ /x/ /type/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_legendre_q_" arb_fpwrap_cdouble_legendre_q :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_legendre_root/ /res1/ /res2/ /n/ /k/ /flags/ -- -- Sets /res1/ to the index /k/ root of the Legendre polynomial \(P_n(x)\), -- and simultaneously sets /res2/ to the corresponding weight for -- Gauss-Legendre quadrature. foreign import ccall "arb_fpwrap.h arb_fpwrap_double_legendre_root_" arb_fpwrap_double_legendre_root :: Ptr CDouble -> Ptr CDouble -> CULong -> CULong -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_spherical_y/ /res/ /n/ /m/ /x1/ /x2/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_spherical_y_" arb_fpwrap_cdouble_spherical_y :: Ptr (Complex CDouble) -> CLong -> CLong -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- Hypergeometric functions ---------------------------------------------------- -- | /arb_fpwrap_double_hypgeom_0f1/ /res/ /a/ /x/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hypgeom_0f1_" arb_fpwrap_double_hypgeom_0f1 :: Ptr CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hypgeom_0f1/ /res/ /a/ /x/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hypgeom_0f1_" arb_fpwrap_cdouble_hypgeom_0f1 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hypgeom_1f1/ /res/ /a/ /b/ /x/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hypgeom_1f1_" arb_fpwrap_double_hypgeom_1f1 :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hypgeom_1f1/ /res/ /a/ /b/ /x/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hypgeom_1f1_" arb_fpwrap_cdouble_hypgeom_1f1 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hypgeom_u/ /res/ /a/ /b/ /x/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hypgeom_u_" arb_fpwrap_double_hypgeom_u :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hypgeom_u/ /res/ /a/ /b/ /x/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hypgeom_u_" arb_fpwrap_cdouble_hypgeom_u :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hypgeom_2f1/ /res/ /a/ /b/ /c/ /x/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hypgeom_2f1_" arb_fpwrap_double_hypgeom_2f1 :: Ptr CDouble -> CDouble -> CDouble -> CDouble -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hypgeom_2f1/ /res/ /a/ /b/ /c/ /x/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hypgeom_2f1_" arb_fpwrap_cdouble_hypgeom_2f1 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_double_hypgeom_pfq/ /res/ /a/ /p/ /b/ /q/ /z/ /regularized/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_hypgeom_pfq_" arb_fpwrap_double_hypgeom_pfq :: Ptr CDouble -> Ptr CDouble -> CLong -> Ptr CDouble -> CLong -> CDouble -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_hypgeom_pfq/ /res/ /a/ /p/ /b/ /q/ /z/ /regularized/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_hypgeom_pfq_" arb_fpwrap_cdouble_hypgeom_pfq :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CLong -> Ptr (Complex CDouble) -> CLong -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- Elliptic integrals, elliptic functions and modular forms -------------------- -- | /arb_fpwrap_double_agm/ /res/ /x/ /y/ /flags/ foreign import ccall "arb_fpwrap.h arb_fpwrap_double_agm_" arb_fpwrap_double_agm :: Ptr CDouble -> CDouble -> CDouble -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_agm/ /res/ /x/ /y/ /flags/ -- -- Arithmetic-geometric mean. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_agm_" arb_fpwrap_cdouble_agm :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_k/ /res/ /m/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_k_" arb_fpwrap_cdouble_elliptic_k :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_e/ /res/ /m/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_e_" arb_fpwrap_cdouble_elliptic_e :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_pi/ /res/ /n/ /m/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_pi_" arb_fpwrap_cdouble_elliptic_pi :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_f/ /res/ /phi/ /m/ /pi/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_f_" arb_fpwrap_cdouble_elliptic_f :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_e_inc/ /res/ /phi/ /m/ /pi/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_e_inc_" arb_fpwrap_cdouble_elliptic_e_inc :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_pi_inc/ /res/ /n/ /phi/ /m/ /pi/ /flags/ -- -- Complete and incomplete elliptic integrals. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_pi_inc_" arb_fpwrap_cdouble_elliptic_pi_inc :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_rf/ /res/ /x/ /y/ /z/ /option/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_rf_" arb_fpwrap_cdouble_elliptic_rf :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_rg/ /res/ /x/ /y/ /z/ /option/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_rg_" arb_fpwrap_cdouble_elliptic_rg :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_rj/ /res/ /x/ /y/ /z/ /w/ /option/ /flags/ -- -- Carlson symmetric elliptic integrals. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_rj_" arb_fpwrap_cdouble_elliptic_rj :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_p/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_p_" arb_fpwrap_cdouble_elliptic_p :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_p_prime/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_p_prime_" arb_fpwrap_cdouble_elliptic_p_prime :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_inv_p/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_inv_p_" arb_fpwrap_cdouble_elliptic_inv_p :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_zeta/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_zeta_" arb_fpwrap_cdouble_elliptic_zeta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_elliptic_sigma/ /res/ /z/ /tau/ /flags/ -- -- Weierstrass elliptic functions. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_elliptic_sigma_" arb_fpwrap_cdouble_elliptic_sigma :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_jacobi_theta_1/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_jacobi_theta_1_" arb_fpwrap_cdouble_jacobi_theta_1 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_jacobi_theta_2/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_jacobi_theta_2_" arb_fpwrap_cdouble_jacobi_theta_2 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_jacobi_theta_3/ /res/ /z/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_jacobi_theta_3_" arb_fpwrap_cdouble_jacobi_theta_3 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_jacobi_theta_4/ /res/ /z/ /tau/ /flags/ -- -- Jacobi theta functions. foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_jacobi_theta_4_" arb_fpwrap_cdouble_jacobi_theta_4 :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_dedekind_eta/ /res/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_dedekind_eta_" arb_fpwrap_cdouble_dedekind_eta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_modular_j/ /res/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_modular_j_" arb_fpwrap_cdouble_modular_j :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_modular_lambda/ /res/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_modular_lambda_" arb_fpwrap_cdouble_modular_lambda :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn -- | /arb_fpwrap_cdouble_modular_delta/ /res/ /tau/ /flags/ -- foreign import ccall "arb_fpwrap.h arb_fpwrap_cdouble_modular_delta_" arb_fpwrap_cdouble_modular_delta :: Ptr (Complex CDouble) -> Ptr (Complex CDouble) -> CInt -> IO FpWrapReturn