Table 1 Values returned by the functional unit specified in [1] when the input I has exactly three bits (ϕ=π/23−1=π/4)
From: Using the complement of the cosine to compute trigonometric functions
x | πx | sin(πx) | cos(πx) | ||||
|---|---|---|---|---|---|---|---|
∥ | ∥ | ∥ | ∥ | ||||
I | S | n | S/4 | Sϕ | nϕ | sin(Sϕ) | cos(Sϕ) |
∥ | ∥ | ||||||
sin(nϕ) | cos(nϕ) | ||||||
000 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
001 | 1 | 1 | \(\frac {1}{4}\) | \(\frac {\pi }{4}\) | \(\frac {\pi }{4}\) | \(\frac {1}{\sqrt {2}}\) | \(\frac {1}{\sqrt {2}}\) |
010 | 2 | 2 | \(\frac {2}{4}\) | \(\frac {2\pi }{4}\) | \(\frac {2\pi }{4}\) | 1 | 0 |
011 | 3 | 3 | \(\frac {3}{4}\) | \(\frac {3\pi }{4}\) | \(\frac {3\pi }{4}\) | \(\frac {1}{\sqrt {2}}\) | \(-\frac {1}{\sqrt {2}}\) |
100 | − 4 | 4 | −1 | \(-\frac {4\pi }{4}\) | \(\frac {4\pi }{4}\) | 0 | −1 |
101 | − 3 | 5 | \(-\frac {3}{4}\) | \(-\frac {3\pi }{4}\) | \(\frac {5\pi }{4}\) | \(-\frac {1}{\sqrt {2}}\) | \(-\frac {1}{\sqrt {2}}\) |
110 | − 2 | 6 | \(-\frac {2}{4}\) | \(-\frac {2\pi }{4}\) | \(\frac {6\pi }{4}\) | −1 | 0 |
111 | − 1 | 7 | \(-\frac {1}{4}\) | \(-\frac {\pi }{4}\) | \(\frac {7\pi }{4}\) | \(-\frac {1}{\sqrt {2}}\) | \(\frac {1}{\sqrt {2}}\) |