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Mathos is amazingly easy to use and understand for everyone with basic knowledge of any .NET Framework based language, e.g. Visual Basic, Visual C#, Iron Python, Iron Rugby, etc.

Find out more at http://mathosproject.com/!

Features

  • Perform basic and more complex calculations with Fractions.
  • Convert different units (length, speed, mass, area, volyme), and numeral systems.
  • Include Coordinates to perform simple and more advanced calculations such as Slope, MidPoint, Distance.
  • Perform calculations with geometrical shapes (2 dimensional), such as Circles, Squares, Rectangles, Triangles, Parallelograms, Trapezoids, Cubes and also (3 dimensional), Spheres, Square pyramids, Rectangular prisms, Right circular cones and Right circular cylinders.
  • Use the Mathos's Syntax, to calculate with less code typing.
  • Make financial calculations.
  • Parse simple and more advanced expressions with a Math Parser.
  • And of course, there are lots of other cool features available in Mathos!

Introduction

Mathos is single library that contains different functions in areas like: Arithmetic, Coordinate Geometry, Fractions. For the moment, it's not quite finished, and more features will be added.

The second part of this project is a Math Parser. At this development stage, you should be able to do a lot of cool stuff with it, for instance, customize functions, add variables, before and on the run time. You can also add and/or edit operators, and change the way they should behave.

How to use

  • Fractions
    • Declaration
    • Addition
    • Subtraction
    • Multiplication & Division
    • Comparison
    • Complex Fractions
  • Coordinates, etc.
  • Numbers
  • Mathos Syntax

Fractions

Fraction is a base type in Mathos. You can express a point in terms of fractions, and do a lot of other fun stuff. Fractions can for instance be added, subtracted, multiplied, divided by each other. (namespace: Mathos.Arithmetic.Fractions)

Declaration

            Fraction fractA = new Fraction(21, 7);
            Fraction fractB = "21/7";
            Fraction fractC = 3;

            Assert.IsTrue(fractA == fractB);
            Assert.IsTrue(fractA == fractC);
            Assert.IsTrue(fractB == fractC);

Addition

            Fraction fractA = new Fraction(2, 3);
            Fraction fractB = new Fraction(5, 3);
            Assert.IsTrue(fractA + fractB == new Fraction(7, 3));


            Fraction fractC = new Fraction(3, 5);
            Fraction fractD = new Fraction(1, 4);
            Assert.IsTrue(fractC + fractD == new Fraction(17, 20));

            Assert.IsTrue(new Fraction("1/4") + new Fraction("2/8") == new Fraction(6, 12));
            Assert.IsTrue(2 + new Fraction(2, 9) == "20/9");

            Assert.IsFalse("2" + "2/9" == "20/9"); // you need to have at least one definition of Fraction

Subtraction

            Fraction fractA = "6/8";
            Fraction fractB = "2/8";

            Fraction result = fractA - fractB;
            Assert.IsTrue(result == "1/2");

Multiplication & Division

            Fraction fractA = "3/62";
            Fraction fractB = "5/54";
            Fraction result = fractA * fractB;

            Assert.IsTrue("5/1116" / fractA == fractB);

Comparison

            Assert.IsTrue(new Fraction(1, 2) >= new Fraction(1, 3));
            Assert.IsTrue("1/2" < new Fraction(2, 3));

Complex Fractions

A complex fraction is actually behaving as a normal fraction, but instead of declaring the nominator and the denominator as integers, we pass in two fractions.

            // basic definition of a complex fraction
            Fraction complex1 = new Fraction(new Fraction(3, 2), new Fraction(2, 5));
            Fraction complex2 = new Fraction("3/4","2/6");

            // but under the hood, we are actually doing following
            Fraction complex3 = new Fraction(3, 2) / new Fraction(2, 5);

Coordinates

This struct is a good way to store coordinates as a variable inside .NET. The difference between System.Drawing.Point is that this structure is simple, small, and easy to work with.

            // declarations
            Coordinate coord1 = new Coordinate(3, 4);
            Coordinate coord2 = "5,7";
            
            // the result can be expressed as a fraction
            Fraction midPoint1 = Calculate.Slope(coord1, coord2);

            // ... or as a decimal
            decimal midPoint2 = Calculate.Slope("3,4", "5,7");

            decimal distance = Calculate.Distance(coord1, coord2);

Numbers

This namespace contains classes that are useful to use when performing simple checks on all kinds of integers. It contains three classes Get, Check, and Convert. It's the Get and the Convert classes that are, for the moment, supported by the extension method, Mathos Syntax

            /* Using "Numbers" directly */

            bool myNumberIsPrime = Mathos.Arithmetic.Numbers.Check.IsPrime(29);
            long PositiveNumber = Mathos.Arithmetic.Numbers.Convert.ToPositive(-2);
            long GDC = Mathos.Arithmetic.Numbers.Get.gdc(20, 4);

            foreach (long factor in Mathos.Arithmetic.Numbers.Get.Factors(81))
            {
                System.Diagnostics.Debug.WriteLine("Factor: " + factor.ToString());
            }

Mathos Syntax

This is a namespace that contains extension methods to the Arithmetic namespace. Instead of typing the entire function name, in order to check a small thing, you can simply do as below:

            /* 
             * Mathos.Syntax is a collection of extenssion methods
             * for the common value types in .NET Framework.
             */

            int myNumber = 29;

            bool myNumberIsPrime = myNumber.IsPrime(); // true
            bool myNumberIsOdd = myNumber.IsEven(); // false
            bool myNumberIsPositive = myNumber.IsPositive(); // true

            long mySecondNumber = 32;
            long myThirdNumber = 9;

            bool AreCoprimes = mySecondNumber.IsCoprime(myThirdNumber); // true

Last edited Mar 30, 2013 at 12:23 PM by artemlos, version 1

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