// category custom "User Defined"
function custom() {}

// button custom.pythaghyp "Pythag [hyp]"
custom.pythaghyp = (x, y) => {

	c = Math.max(x, y);
	a = Math.min(x, y);

	c2 = c * c;
	a2 = a * a;

	return Math.sqrt(c2 + a2);
}

// button custom.pythaglen "Pythag [len]"
custom.pythaglen = (x, y) => {

	c = Math.max(x, y);
	a = Math.min(x, y);

	c2 = c * c;
	a2 = a * a;

	return Math.sqrt(c2 - a2);
}

// button custom.TurningRadius "Turning Radius"
custom.TurningRadius = (wheelbase, pivotAngleDegrees) => {
    const pivotAngleRadians = pivotAngleDegrees * (Math.PI / 180); // Convert degrees to radians
    const radius = wheelbase / (2 * Math.sin(pivotAngleRadians / 2));
    return radius;
}

// button custom.calculatePivotAngle "Pivot Angle"
custom.calculatePivotAngle = (wheelbase, turningRadius) => {
    const sinHalfAngle = wheelbase / (2 * turningRadius);
    
    // Clamp the value to [-1, 1] to avoid NaN from floating-point rounding
    const clampedSin = Math.min(1, Math.max(-1, sinHalfAngle));

    const halfAngleRadians = Math.asin(clampedSin);
    const fullAngleRadians = 2 * halfAngleRadians;
    const fullAngleDegrees = fullAngleRadians * (180 / Math.PI);

    return fullAngleDegrees;
}