Mathematical Programs

These programs are distributed in the hope that they will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

Most are made available under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version, but see the License conditions for each individual program.

Date of Easter

There are many programs which compute the date of Easter Sunday.

This is a demonstration of the method described in the Book of Common Prayer.

Date of Easter.

Divison by Multiplication

The Ferranti Mercury Computer (circa 1957) had a floating-point arithmetic unit but did not have a floating-point divide instruction. Floating-point division was performed by scaling the number into the range [0.5, 1.0) and then computing the reciprocal using a Newton-Raphson iteration. The result was then rescaled appropriately.

This is a demonstration of the method used on the Mercury.

Divison by Multiplication.

Drawing Ellipses Using a Shear Transformation

This is a demonstration of using a shear transformation to draw ellipses. It is based on a paper by Nathan Dinsmore.

Drawing Ellipses.

Generating Normally Distributed Pseudorandom Numbers

Two methods to generate Normally Distributed Pseudorandom Numbers.

Normally Distributed Pseudorandom Numbers.

Prosthaphaeresis - Multiplication Using Cosine Tables

This is a demonstration of a method used to perform multiplication using cosine tables.


Roman Arithmetic

This is a demonstration of the methods that may have been used to perform calculations with numbers represented in Roman Numerals.

Roman Arithmetic.

Last updated Saturday, June 16, 2018.