arithmetic

Who needs Xtreme Arithmetic? Nearly everyone. Students, parents and
teachers who use or teach addition, subtraction, multiplication and division.
Whether you are learning, preparing for SATs, work with numbers every
day, or just want your friends to think youre a math whiz, you can benefit
from learning the Xtreme Arithmetic system.

Xtneme Arithmetic Ebook begins with one of the tools in the Numdrum series
designed by British engineer and mathematician John Harrison. Use it when
you begin to teach children about numbers, from pre-school to first grade.
Skip this chapter if you are not teaching those grades.

Numdrum is a wonderful visual aid that gives children the concepts they need
to comprehend the basics of addition, subtraction, multiplication and, to some
extent, division. Avoid three of the greatest problems children encounter
when you use a Numdrum to teach basic arithmetic.

Arithmetic Operations Simulation Librarys aim is to develop an open source library to simulate heavy arithmetic operations efficiently.

Finding different ways to solve a problem has been an interesting way to relax for many people. Not only they derive some kicks out of it, but as a side effect they develop much deeper insight into the problems enabling them to work out solutions under different constraints easily.

Here you will find discussion/hints to solve some common programming problems in efficient ways, supported with code that you can try.

DSP Programming Tricks

Often support for many heavy arithmetic operations goes missing to reduce the chip cost for marketability reasons, or during chip development stages. And we programmers have to make for the lack of these.

Accessing recent N items in history

This problem attracted my attention during DSP guest lectures by Mr. Ganesh Bhokare at PUCSD in later half of 2005. Various programming solutions to this problem would be.

Maintain a circular buffer in an array of N (or N+1) items. This will require support for MOD operation.
In case N is a power of 2, bitwise-anding with (N-1) can be used in place of MOD.
If neither N is a power of 2, nor MOD support is available?

Whats New in This Release:

· This version supports finding the first 1/0 bit from left/right (lsb/msb), 16-bit unsigned numbers multiplication, division and mod operations, and also special cases of division by 3.

Interval arithmetic for Ada is a math library that provides an implementation of intervals for Ada. It includes arithmetic and relational operations.

Examples:

Tri-state logic

The package Intervals serves as a root package and also provides tri-state logic necessary to define relational operations on intervals. The type Logical is defined as:

type Logical is (False, True, Uncertain);

The following operations are defined for Logical:

function "not" (Left : Logical) return Logical;
function "and" (Left, Right : Logical) return Logical;
function "and" (Left : Logical; Right : Boolean)
return Logical;
function "and" (Left : Boolean; Right : Logical)
return Logical;
function "or" (Left, Right : Logical) return Logical;
function "or" (Left : Logical; Right : Boolean)
return Logical;
function "or" (Left : Boolean; Right : Logical)
return Logical;
function "xor" (Left, Right : Logical) return Logical;
function "xor" (Left : Logical; Right : Boolean)
return Logical;
function "xor" (Left : Boolean; Right : Logical)
return Logical;

Whats New in This Release:

· For GNAT users GPS project files were included;
· Based on Measurement units for Ada v 2.4.

EDA is an Eiffel implementation of the General Decimal Arithmetic Specification. EDA allows unlimited precision decimal arithmetic.

By implementing the GDA Specification version 1.08, the library conforms to the requirements of the ANSI/IEEE standard 854-1987, while supporting integer and unrounded floating-point arithmetic as a subset. EDA is part of the SAFE project.

You can use it for any kind of numeric or exact symbolic computation (Polynomial arithmetic, Linear algebra and matrix arithmetic, Derivivative and Integrals, Ordinary differential equations, Limits, series expansion, Probability and statistics).

It is just like having a mathematical lab right into your pocket!

A multipurpose software calculator, compute complex arithmetic expressions including matrices and user defined variables, Plot 2D 3D animated functions and is provided with a high level programming language.

Calculator (Basic) is a basic calculator. It is able to compute arithmetic, square roots, percentiles and memory.

Completly freeware for non-commercial use.

Simple Calculator that performs basic arithmetic calculations. The buttons are big and easy to use. The calculator contains memory functions. The user can select from several color templates.

HartMath is an experimental computer algebra program written in Java.

It features big number arithmetic, symbolic and numeric evaluation, plot-, polynomial-, vector, and matrix-functions.

FzCalc application was designed to support basic operations with fuzzy arithmetic.

Here are some key features of "FzCalc":

· Modeling of uncertain data with fuzzy arithmetic
· Fuzzy multiobjective decision making
· Hierarchical decomposition of modeling tasks
· Graphical user interface
· Programable data structures and evaluation methods
· Built-in optimizer for non-linear and non-continuous function