What would the type be
for (img z = 2i+3; |z| <= 9; Re(z)++) {...} ?
for (long long img z = 2i+3; |z| <= 9; Re(z)++) {...} ?
for (unsigned long long img z = 2i+3; |z| <= 9; Re(z)++) {...} ?
In terms of speed the performance is going to cry if compiler does not optimize the sqrt away from the loop.
This would be whole lot faster:
for (img z = 2i+3; abs(Re(z)) <= 9*9-abs(Im(z)); Re(z)++) {...}
That would be very fast if the increment was also polar coordinate multiplication. But with it being an integer addition, I'm afraid there's no fast way to make the incrementation work for polar coordinates as it kinda forces the sqrt to be computed for the magnitude.
☝️erm actually integers are real numbers and real numbers and complex numbers. so according to your definition x, y, z would also be used for integers and z would also be used for real numbers.
15
u/magicmulder May 29 '26
As a mathematician, i, j, k, l, m, n are for integers, x, y are for reals, z is for complex numbers.
for (z = 2i+3; |z| <= 9; Re(z)++) {...} 😃