V.14:11 (483-487): SIDEBAR: BASIC and TradeStation Code for Phase Calculation

BASIC CODE FOR PHASE CALCULATION by John F. Ehlers

This BASIC code finds the real part of the phasor (the horizontal component) and the imaginary part of the phasor (the vertical component) by summing the product of the price and the two sinusoids over one full cycle of the dominant cycle. The arctangent function locates the phase to be in the first or fourth quadrant. The quadrant ambiguity is removed by adding p to the phase angle is the real part is negative. A value of p/2 is arbitrarily added to the computed phase so the start of the cycle is referenced to a sinewave. The computed phase angle is then tested to fall within the range from zero to 2p. The phase is then converted to degrees from radian measure.