atanh.rs.html -- source

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adler32

aho_corasick

packed

teddy

compile.rs mod.rs runtime.rs

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ahocorasick.rs automaton.rs buffer.rs byte_frequencies.rs classes.rs dfa.rs error.rs lib.rs nfa.rs prefilter.rs state_id.rs

alga

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ascii

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atty

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symbolize

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hex

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internals

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shared

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http

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server

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buffer.rs error.rs lib.rs method.rs net.rs status.rs uri.rs version.rs

idna

lib.rs punycode.rs uts46.rs

itoa

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lapack_src

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libc

unix

linux_like

linux

gnu

b64

x86_64

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align.rs mod.rs

fixed_width_ints.rs lib.rs macros.rs

libm

math

acos.rs acosf.rs acosh.rs acoshf.rs asin.rs asinf.rs asinh.rs asinhf.rs atan.rs atan2.rs atan2f.rs atanf.rs atanh.rs atanhf.rs cbrt.rs cbrtf.rs ceil.rs ceilf.rs copysign.rs copysignf.rs cos.rs cosf.rs cosh.rs coshf.rs erf.rs erff.rs exp.rs exp10.rs exp10f.rs exp2.rs exp2f.rs expf.rs expm1.rs expm1f.rs expo2.rs fabs.rs fabsf.rs fdim.rs fdimf.rs fenv.rs floor.rs floorf.rs fma.rs fmaf.rs fmax.rs fmaxf.rs fmin.rs fminf.rs fmod.rs fmodf.rs frexp.rs frexpf.rs hypot.rs hypotf.rs ilogb.rs ilogbf.rs j0.rs j0f.rs j1.rs j1f.rs jn.rs jnf.rs k_cos.rs k_cosf.rs k_expo2.rs k_expo2f.rs k_sin.rs k_sinf.rs k_tan.rs k_tanf.rs ldexp.rs ldexpf.rs lgamma.rs lgamma_r.rs lgammaf.rs lgammaf_r.rs log.rs log10.rs log10f.rs log1p.rs log1pf.rs log2.rs log2f.rs logf.rs mod.rs modf.rs modff.rs nextafter.rs nextafterf.rs pow.rs powf.rs rem_pio2.rs rem_pio2_large.rs rem_pio2f.rs remainder.rs remainderf.rs remquo.rs remquof.rs round.rs roundf.rs scalbn.rs scalbnf.rs sin.rs sincos.rs sincosf.rs sinf.rs sinh.rs sinhf.rs sqrt.rs sqrtf.rs tan.rs tanf.rs tanh.rs tanhf.rs tgamma.rs tgammaf.rs trunc.rs truncf.rs

linked_hash_map

log

lib.rs macros.rs

matches

matrixmultiply

x86

macros.rs mod.rs

aligned_alloc.rs archparam.rs debugmacros.rs dgemm_kernel.rs gemm.rs kernel.rs lib.rs loopmacros.rs sgemm_kernel.rs util.rs

maybe_uninit

md5

consts.rs lib.rs utils.rs

memchr

x86

avx.rs mod.rs sse2.rs

fallback.rs iter.rs lib.rs naive.rs

memoffset

lib.rs offset_of.rs span_of.rs

mime

mime_guess

multipart

server

boundary.rs field.rs mod.rs save.rs

nalgebra

base

geometry

isometry.rs isometry_alga.rs isometry_alias.rs isometry_construction.rs isometry_conversion.rs isometry_ops.rs mod.rs op_macros.rs orthographic.rs perspective.rs point.rs point_alga.rs point_alias.rs point_construction.rs point_conversion.rs point_coordinates.rs point_ops.rs quaternion.rs quaternion_alga.rs quaternion_construction.rs quaternion_conversion.rs quaternion_coordinates.rs quaternion_ops.rs reflection.rs rotation.rs rotation_alga.rs rotation_alias.rs rotation_construction.rs rotation_conversion.rs rotation_ops.rs rotation_specialization.rs similarity.rs similarity_alga.rs similarity_alias.rs similarity_construction.rs similarity_conversion.rs similarity_ops.rs swizzle.rs transform.rs transform_alga.rs transform_alias.rs transform_construction.rs transform_conversion.rs transform_ops.rs translation.rs translation_alga.rs translation_alias.rs translation_construction.rs translation_conversion.rs translation_coordinates.rs translation_ops.rs unit_complex.rs unit_complex_alga.rs unit_complex_construction.rs unit_complex_conversion.rs unit_complex_ops.rs

linalg

balancing.rs bidiagonal.rs cholesky.rs convolution.rs determinant.rs full_piv_lu.rs givens.rs hessenberg.rs householder.rs inverse.rs lu.rs mod.rs permutation_sequence.rs qr.rs schur.rs solve.rs svd.rs symmetric_eigen.rs symmetric_tridiagonal.rs

ndarray

ndarray_linalg

net2

sys

unix

impls.rs mod.rs

ext.rs lib.rs socket.rs tcp.rs udp.rs unix.rs utils.rs

netlib_src

nix

num_complex

cast.rs crand.rs lib.rs pow.rs

num_cpus

lib.rs linux.rs

num_integer

lib.rs roots.rs

num_rational

num_traits

ops

checked.rs inv.rs mod.rs mul_add.rs saturating.rs wrapping.rs

bounds.rs cast.rs float.rs identities.rs int.rs lib.rs macros.rs pow.rs real.rs sign.rs

opaque_debug

percent_encoding

phf

lib.rs map.rs ordered_map.rs ordered_set.rs set.rs

phf_shared

ppv_lite86

x86_64

lib.rs soft.rs types.rs

proc_macro2

detection.rs fallback.rs lib.rs strnom.rs wrapper.rs

quick_error

quote

ext.rs format.rs ident_fragment.rs lib.rs runtime.rs spanned.rs to_tokens.rs

rand

rand_chacha

chacha.rs guts.rs lib.rs

rand_core

block.rs error.rs impls.rs le.rs lib.rs os.rs

rand_distr

binomial.rs cauchy.rs dirichlet.rs exponential.rs gamma.rs lib.rs normal.rs pareto.rs pert.rs poisson.rs triangular.rs unit_ball.rs unit_circle.rs unit_disc.rs unit_sphere.rs utils.rs weibull.rs ziggurat_tables.rs

rawpointer

regex

regex_syntax

remove_dir_all

rosrust

rosrust_codegen

error.rs genmsg.rs helpers.rs lib.rs message_path.rs msg.rs output_layout.rs rosmsg_include.rs

rosrust_msg

rouille

rustc_demangle

legacy.rs lib.rs v0.rs

rustros_tf

lib.rs msg.rs transforms.rs

ryu

buffer

pretty

exponent.rs mantissa.rs mod.rs

common.rs d2s.rs d2s_full_table.rs d2s_intrinsics.rs digit_table.rs f2s.rs lib.rs

safemem

scopeguard

serde

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from_primitive.rs ignored_any.rs impls.rs mod.rs utf8.rs value.rs

private

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ser

impls.rs impossible.rs mod.rs

export.rs integer128.rs lib.rs macros.rs

serde_bytes

lib.rs value.rs

serde_derive

internals

ast.rs attr.rs case.rs check.rs ctxt.rs mod.rs symbol.rs

bound.rs de.rs dummy.rs fragment.rs lib.rs pretend.rs ser.rs try.rs

serde_json

features_check

io

value

de.rs from.rs index.rs mod.rs partial_eq.rs ser.rs

de.rs error.rs iter.rs lib.rs macros.rs map.rs number.rs read.rs ser.rs

serde_xml_rs

error.rs lib.rs map.rs seq.rs serialize.rs var.rs

sha1

siphasher

lib.rs sip.rs sip128.rs

smallvec

syn

tempdir

term

terminfo

parser

compiled.rs names.rs

mod.rs parm.rs searcher.rs

thread_local

cached.rs lib.rs thread_id.rs unreachable.rs

threadpool

time

display.rs duration.rs lib.rs parse.rs sys.rs

tiny_http

util

custom_stream.rs equal_reader.rs messages_queue.rs mod.rs refined_tcp_stream.rs sequential.rs task_pool.rs

client.rs common.rs lib.rs request.rs response.rs

traitobject

impls.rs lib.rs

twoway

bmh.rs lib.rs util.rs

typeable

typenum

array.rs bit.rs int.rs lib.rs marker_traits.rs operator_aliases.rs private.rs type_operators.rs uint.rs

ucd_util

unicode_tables

jamo_short_name.rs mod.rs

hangul.rs ideograph.rs lib.rs name.rs property.rs

unicase

unicode_bidi

char_data

mod.rs tables.rs

deprecated.rs explicit.rs format_chars.rs implicit.rs level.rs lib.rs prepare.rs

unicode_normalization

__test_api.rs decompose.rs lib.rs lookups.rs normalize.rs perfect_hash.rs quick_check.rs recompose.rs stream_safe.rs tables.rs

unicode_xid

lib.rs tables.rs

url

encoding.rs form_urlencoded.rs host.rs lib.rs origin.rs parser.rs path_segments.rs quirks.rs slicing.rs

utf8_ranges

char_utf8.rs lib.rs

void

xml

xml_rpc

xmlfmt

de.rs error.rs mod.rs parse.rs ser.rs value.rs

client.rs error.rs lib.rs server.rs

yaml_rust

emitter.rs lib.rs parser.rs scanner.rs yaml.rs

use super::log1p;

/* atanh(x) = log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2 ~= x + x^3/3 + o(x^5) */
/// Inverse hyperbolic tangent (f64)
///
/// Calculates the inverse hyperbolic tangent of `x`.
/// Is defined as `log((1+x)/(1-x))/2 = log1p(2x/(1-x))/2`.
pub fn atanh(x: f64) -> f64 {
    let u = x.to_bits();
    let e = ((u >> 52) as usize) & 0x7ff;
    let sign = (u >> 63) != 0;

    /* |x| */
    let mut y = f64::from_bits(u & 0x7fff_ffff_ffff_ffff);

    if e < 0x3ff - 1 {
        if e < 0x3ff - 32 {
            /* handle underflow */
            if e == 0 {
                force_eval!(y as f32);
            }
        } else {
            /* |x| < 0.5, up to 1.7ulp error */
            y = 0.5 * log1p(2.0 * y + 2.0 * y * y / (1.0 - y));
        }
    } else {
        /* avoid overflow */
        y = 0.5 * log1p(2.0 * (y / (1.0 - y)));
    }

    if sign {
        -y
    } else {
        y
    }
}

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