Three Mathematical Routines
 FOCAL8118

1. To Raise A+B*I to the N Power
2. Complex Roots of Real Interpreters
3. Cube Root Finder
Forrest Howard
Submitted by: Brother John F. O'Connell, C. F.X., St.
John's Preparatory School, Danvers, Massachusetts
1. To Raise a + bi to the Nth Power  This program is based
on De Moivre's Theorem for raising complex numbers to a
given power N. It works with all integral values of A and B
and for A and/or B equal to zero. It seems reasonable to
assume that it would also work with decimal fractions for A or
B. In the illustrative examples the = sign has been deleted to
improve the printout of the answers which appear in rectangu
lar coordinate form rather than the trigonometric form.
2. To Find the P Complex Roots of a Real Number N  This
program was planned around the geometrical method of finding
the cube roots of unity. The printout gives the roots in rec
tangular coordinate form of the complex number.
3. Cube Root Finder  This program gives a very good approx
imation of the cube root of real numbers.
Minimum Hardware:  4K PDP8/S

Source Language:  FOCAL69

Catalog:  July 1973
