algorithm of calculating the slope between line relatively to center coordinate
Please help with the algorithm of calculating the slope So we have a Cartesian coordinate system. X right at Y the top. There is a line which passes through the center of coordinates. Needed to determine the angle relatively to the axis OX.
So here's what I'm doing
- Certain functions transferred to the origin (top line) and end of line
- Determine dx, dy
- Hildren releases two parameters in atan2 (dy, dx)
- Returns the result in radians.
But! I atan2 works only within 180 degrees. After 180 goes in another direction.
So the question: what is the correct algorithm for finding the angle? Do I need to take dy, dx values in magnitude? How to make the arctangent calculated for all 360 and more? I would be glad to hear specific algorithms, or pieces of code comments. Thanx!
static inline CGFloat angleBe开发者_高级运维tweenLinesInRadians2 (CGPoint line1Start, CGPoint line1End)
{
CGFloat dx = 0, dy = 0;
dx = line1End.x - line1Start.x; / / whether to do fabs (line1End.x - line1Start.x);
dy = line1End.y - line1Start.y;
CGFloat rads = atan2 (dy, dx); / / whether to do fabs (rads)
return rads;
}
atan2() is supposed to return a value in the interval [-pi,pi] (i.e. [-180, 180] ), and works with the signs of x and y to figure out the quadrant. (C++ ref)
So technically, you have 360 degrees.
A formula to calculate an angle from 0 to 360 degrees :
f(x,y)=180-90*(1+sign(x))* (1-sign(y^2))-45*(2+sign(x))*sign(y)
-180/pi()*sign(x*y)*atan((abs(x)-abs(y))/(abs(x)+abs(y)))
x=x2-x1 and y=y2-y1 .
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