in candle-core/src/cpu/erf.rs [599:710]
fn erf_impl(z: f64, inv: bool) -> f64 {
if z < 0.0 {
if !inv {
return -erf_impl(-z, false);
}
if z < -0.5 {
return 2.0 - erf_impl(-z, true);
}
return 1.0 + erf_impl(-z, false);
}
let result = if z < 0.5 {
if z < 1e-10 {
z * 1.125 + z * 0.003379167095512573896158903121545171688
} else {
z * 1.125
+ z * evaluate::polynomial(z, ERF_IMPL_AN) / evaluate::polynomial(z, ERF_IMPL_AD)
}
} else if z < 110.0 {
let (r, b) = if z < 0.75 {
(
evaluate::polynomial(z - 0.5, ERF_IMPL_BN)
/ evaluate::polynomial(z - 0.5, ERF_IMPL_BD),
0.3440242112,
)
} else if z < 1.25 {
(
evaluate::polynomial(z - 0.75, ERF_IMPL_CN)
/ evaluate::polynomial(z - 0.75, ERF_IMPL_CD),
0.419990927,
)
} else if z < 2.25 {
(
evaluate::polynomial(z - 1.25, ERF_IMPL_DN)
/ evaluate::polynomial(z - 1.25, ERF_IMPL_DD),
0.4898625016,
)
} else if z < 3.5 {
(
evaluate::polynomial(z - 2.25, ERF_IMPL_EN)
/ evaluate::polynomial(z - 2.25, ERF_IMPL_ED),
0.5317370892,
)
} else if z < 5.25 {
(
evaluate::polynomial(z - 3.5, ERF_IMPL_FN)
/ evaluate::polynomial(z - 3.5, ERF_IMPL_FD),
0.5489973426,
)
} else if z < 8.0 {
(
evaluate::polynomial(z - 5.25, ERF_IMPL_GN)
/ evaluate::polynomial(z - 5.25, ERF_IMPL_GD),
0.5571740866,
)
} else if z < 11.5 {
(
evaluate::polynomial(z - 8.0, ERF_IMPL_HN)
/ evaluate::polynomial(z - 8.0, ERF_IMPL_HD),
0.5609807968,
)
} else if z < 17.0 {
(
evaluate::polynomial(z - 11.5, ERF_IMPL_IN)
/ evaluate::polynomial(z - 11.5, ERF_IMPL_ID),
0.5626493692,
)
} else if z < 24.0 {
(
evaluate::polynomial(z - 17.0, ERF_IMPL_JN)
/ evaluate::polynomial(z - 17.0, ERF_IMPL_JD),
0.5634598136,
)
} else if z < 38.0 {
(
evaluate::polynomial(z - 24.0, ERF_IMPL_KN)
/ evaluate::polynomial(z - 24.0, ERF_IMPL_KD),
0.5638477802,
)
} else if z < 60.0 {
(
evaluate::polynomial(z - 38.0, ERF_IMPL_LN)
/ evaluate::polynomial(z - 38.0, ERF_IMPL_LD),
0.5640528202,
)
} else if z < 85.0 {
(
evaluate::polynomial(z - 60.0, ERF_IMPL_MN)
/ evaluate::polynomial(z - 60.0, ERF_IMPL_MD),
0.5641309023,
)
} else {
(
evaluate::polynomial(z - 85.0, ERF_IMPL_NN)
/ evaluate::polynomial(z - 85.0, ERF_IMPL_ND),
0.5641584396,
)
};
let g = (-z * z).exp() / z;
g * b + g * r
} else {
0.0
};
if inv && z >= 0.5 {
result
} else if z >= 0.5 || inv {
1.0 - result
} else {
result
}
}