Predefined Functions – abs

Function name: abs – Calculate absolute values per component
Synopsis: abs(x)


Input data type Output data type
real real
complex complex
quaternion quaternion

Description:

abs takes the absolute value of each component, thus calculates:

abs(q)=abs(a+bi+cj+dk) = abs(a)+abs(b)i+abs(c)j+abs(d)k

abs(z)=abs(x+iy) = abs(x)+i*abs(y)

and abx(x)=|x|

abs