Hallo, Achim Bornhoeft hat gesagt: // Achim Bornhoeft wrote:
I need to solve the following problem for different setups of room
distributions.Given are x and y values between 0 and 100:
0/100 100/100 | | x | | x |____________ 0/0 100/0
I would like to transform the same values mathematically in a way that
the result correspond to the coordinate system rotated 45 degrees
clockwise:0/0---------0/100 | | x | | x | 100/0 100/100
Isn't this a rotation by 90 degrees shown here? :)
Anyway rotating a point is easier if you convert the coordinates to polar coordinates (radius and angle) first, then add the rotation angle to the current angle and convert back.
You could do the math yourself, but in Zexy there are some handy abstractions that do it for you: [cart2pol], [pol2cart] convert between cartesian (x,y) and polar (r, phi) coordinates:
x y | | [cart2pol] | | | [+ 0.785398] add rotation angle: 0.785398 is 45 degrees converted to rad | | [pol2cart] | | x' y'
The phi-angles are specified in rad, not in degrees. If you want to use degree for the rotation angle, the [deg2rad] object is helpful and it's also part of zexy. Or make your own: rad=deg*pi/180
Ciao
Frank