Three Mathematical Routines

FOCAL8-118

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 PDP-8/S

Source Language:
FOCAL-69

Catalog: July 1973