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c++mathtrigonometryatan2

C++ Creating Atan2 from Atan


How would i go about taking my atan function and make it into atan2? For example

float myAtan2(double a, double b)
{
    float atan2val = //calculate atan2 using atan
    return atan2val;
}

Sorry I'm not the best at trigonometry!


Solution

  • Something like this:

    float myAtan2(double a, double b)
    {
        float atan2val;
        if (b > 0) {
            atan2val = atan(a/b);
        }
        else if ((b < 0) && (a >= 0) {
            atan2val = atan(a/b) + pi;
        }
        else if ((b < 0) && (a < 0) {
            atan2val = atan(a/b) - pi;
        }
        else if ((b = 0) && (a > 0)) {
            atan2val = pi / 2;
        }
        else if ((b = 0) && (a < 0)) {
            atan2val = 0 - (p / 2 );
        }
        else if ((b = 0) && (a = 0)) {
            atan2val = 1000;               //represents undefined
        }
        return atan2val;
    }
    

    You can probably code it prettier, but that's the logic, which I got from here: https://en.wikipedia.org/wiki/Atan2#Definition_and_computation.

    I'm returning 1000 (an impossible value for an arctan) to represent "undefined". You could do it some other way maybe by using NaN or something.