Lua interpolative compression
Consider you have dense table of precise calculations and want to reduce it size somehow. For example you have simulated coordinates of moving body and want to store them more compactly. One of the possible approaches is to store table of coeffitients of interpolative polynoms and restore needed data from them. This library evaluates this coeffitients for 1st and 2nd order polynoms.
ic.pack1( xs, ys, err[, abxs ])
Evaluate linear interpolators coeffitients with maximal absolute error not
greater than err. Arguments xs must be monotonous, ys is any non-nan,
non-infinity numbers array. Also you can pass output array.
ic.unpack1( xs, abxs[, ys])
Fills ys with arguments and values from coeffitients abxs on xs. If
ys is not passed free array is created.
ic.pack2( xs, ys, err[, abcxs ])
Evaluate quadratic interpolators coeffitients with maximal absolute error not
greater than err. Arguments xs must be monotonous, ys is any non-nan,
non-infinity numbers array. Also you can pass output array.
ic.unpack2( xs, abcxs[, ys])
Fills ys with arguments and values from coeffitients abcxs on xs. If
ys is not passed free array is created.