Phase Calculation

Phase Calculation was authored by John F. Elders in the Stocks and Commodities Magazine 11/1996. Phase Calculation manipulates the price over a period with complex number information but, real or imaginary, degree by degree, the final phase is found. The user may change the input (close) and period length. This indicator’s definition is further expressed in the condensed code given in the calculation below.

How To Trade Using Phase Calculation

Phase Calculation may be used in conjunction with other indicators. No trading signals are given.

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Calculation

//input = price, user defined, default is close
//period = user defined, default is 15
//sin = sine, cos = cosine, tan = tangent
//abs = absolute value, asin = arc sine, atan = arc tangent
//imagP = imaginary part, realP = real part
//index =current bar number, LOE = less or equal

weight = 0;
realP = 0;
imagP = 0;
j = 0;
radians = 0;
phase = 0;
for i = index - period + 1; i LOE index; i++)
    weight = price[i];
    radians = toRadians(360 * j / period);
    realP = realP + cos(radians) * weight;
    imagP = imagP + sin(radians) * weight;
    j++;
endFor
if (abs(realP) moreThan .001) phase = toDegrees(atan(imagP/realP));
else phase = 90 * toDegrees(asin(imagP));
if (realP lessThan 0) phase = phase + 180;
phase = phase + 90;
if (phase lessThan 0) phase = phase + 360;
if (phase moreThan 360) phase = phase - 360;
Plot: phase;