Rational Chebyshev approimations have been computed for the Fresnel integrals
C
(
x
)
C(x)
and
S
(
x
)
S(x)
for arguments in the intervals
[
0.
,
1.2
]
[0.,1.2]
and
[
1.2
,
1.6
]
[1.2,1.6]
, and for the related functions
f
(
x
)
f(x)
and
g
(
x
)
g(x)
for the intervals
[
1.6
,
1.9
]
[1.6,1.9]
,
[
1.9
,
2.4
]
[1.9,2.4]
and
[
2.4
,
∞
]
[2.4,\infty ]
. Maximal relative errors range down to
2
×
10
−
19
2 \times {10^{ - 19}}
.