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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Appendix I / Utilities / Trigonometrical Functions<br />

_ _<br />

X<br />

I<br />

≥<br />

X<br />

10<br />

I<br />

ATAN_F AND ATAN2_F ERRORS (DEGREES)<br />

−8<br />

0.05<br />

0.04<br />

0.03<br />

0.02<br />

0.01<br />

0<br />

-0.01<br />

-0.02<br />

XI ≥ 0 ⇒ y : = π ⋅ ξ1<br />

22.11-6<br />

2<br />

Equation 22.11-22<br />

-0.03<br />

0 5 10 15<br />

<<br />

Figure 22-14 : Arc-tangent Function Error<br />

10<br />

⇒<br />

−8<br />

ξ<br />

1<br />

⇒<br />

: =<br />

ξ<br />

1<br />

X<br />

I<br />

: =<br />

⎛<br />

⋅<br />

⎜<br />

⎝<br />

0.<br />

6287<br />

0.<br />

6287<br />

+<br />

+<br />

I<br />

8<br />

Y ⋅10<br />

0.<br />

8822<br />

Y<br />

I<br />

0.<br />

8822<br />

+ Y<br />

2<br />

I<br />

⋅10<br />

16<br />

Equation 22.11-23<br />

+<br />

2 2 ⎞<br />

( YI<br />

XI<br />

) ⎟ Equation 22.11-24<br />

The errors in the two arc-tangent functions over [0 , 15] are identical as<br />

shown in Figure 22-14.<br />

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