sawtooth

sawtooth (num)

The sawtooth function returns ((num +n2π) mod 2π)/2π where n is used to correct if num is negative. Sawtooth is used to create arbitrary periodic waveforms analogous to sine and cosine.

Examples

wave1 = sawtooth(x)

creates a sawtooth in wave1 whose Y values range from 0 to 1 as its X values go through 2π units.

wave1 = exp(sawtooth(x))

creates a series of exponentials in wave1 of amplitude exp(1) and period 2π.

You can also use sawtooth to create periodic repetitions of a given part of a wave:

wave1 = wave2(sawtooth(x))

creates a periodic repetition of wave2 in wave1 given the appropriate X scaling for the waves.