arccosine

Gate Gain/Delay 32-bit x 32-bit 1 2,185 3 6,555 Estimator multiplier 52-bit x 32-bit 1 926 3 2,778 divider Arccosine block 1 5,311 1 5,311 32-bit adder 1 216 1 216 Temporary 1 266 0 0 registers MUXs & etc.

We develop efficient algorithms for reliable and accurate evaluations of the complex arcsine and arccosine functions.

The arccosines of these three normalized factors determine the quaternion angles 105.337[degrees], 36.755[degrees], and 122.459[degrees].

The resulting angles in Table 1 are the arccosines of these factors (normalized), i.e., their projections to the k-axis, but they are twice the rotation angles required in [R.sup.3], a property of quaternion rotations.

The resulting angles in the table are determined by the arccosines of the factors, but they are twice the rotation angles required in [R.sup.3], a property of quaternion rotations.