The Conjugate Function of the Two-Cycle Sawtooth Wave

The Number of Series Terms Added in Each Run
Prec.	Fourier Series		Center Series		Ratios FS/CS
Req.	Average	Maximum	Average	Maximum	Average	Maximum
$10^{-3}$	$748.73$	$3244$	$34.98$	$633$	$21.40$	$5.12$
$10^{-4}$	$7386.17$	$29994$	$112.46$	$1626$	$65.68$	$18.45$
$10^{-5}$	$73500.65$	$287744$	$357.86$	$4871$	$205.39$	$59.07$
$10^{-6}$	$734299.04$	$2864744$	$1135.19$	$15619$	$646.85$	$183.41$
$10^{-7}$	$7342346.76$	$28633244$	$3581.59$	$49119$	$2050.02$	$582.94$
$10^{-8}$	$73425099.64$	$286568244$	$11312.91$	$157869$	$6490.38$	$1815.23$

The Time of Each Run in Seconds
Precision Required	Fourier Series Time	Center Series Time	Ratios FS/CS
$10^{-3}$	$0.06$	$0.00$	N/A
$10^{-4}$	$0.61$	$0.01$	$61.00$
$10^{-5}$	$5.92$	$0.02$	$296.00$
$10^{-6}$	$59.03$	$0.09$	$655.89$
$10^{-7}$	$988.73$	$0.28$	$3531.18$
$10^{-8}$	$26253.42$	$0.86$	$30527.23$