Chapter 6. Numbers and Math

Introduction

Recipe 6.1.  Using Compact Operator Notation

Recipe 6.2.  Choosing Integers of the Right Size and Type for the Job

Recipe 6.3.  Using Unsigned Integers

Recipe 6.4.  Swapping Two Integers Without Using a Third

Recipe 6.5.  Using Single- and Double-Precision Variables

Recipe 6.6.  Using Decimal Variables for Maximum Precision

Recipe 6.7.  Converting Between Number Types

Recipe 6.8.  Rounding Numbers Accurately

Recipe 6.9.  Declaring Loop Counters Within Loops

Recipe 6.10.  Converting Between Radians and Degrees

Recipe 6.11.  Limiting Angles to a Range

Recipe 6.12.  Creating Double-Precision Point Variables

Recipe 6.13.  Converting Between Rectangular and Polar Coordinates

Recipe 6.14.  Creating Three-Dimensional Variables

Recipe 6.15.  Converting Between Rectangular, Spherical, and Cylindrical Coordinates

Recipe 6.16.  Working with Complex Numbers

Recipe 6.17.  Solving Right Triangles

Recipe 6.18.  Solving Any Triangle

Recipe 6.19.  Determining if a String Contains a Valid Number

Recipe 6.20.  Converting Numbers to Integers

Recipe 6.21.  Calculating π to Thousands of Digits

Recipe 6.22.  Getting a Number's Prime Factors

Recipe 6.23.  Using Recursion to Calculate Factorials

Recipe 6.24.  Manipulating Bits with Bitwise Operators

Recipe 6.25.  Storing and Retrieving Bits in a BitArray

Recipe 6.26.  Enhancing the Random Number Generator

Recipe 6.27.  Generating Random Integers in a Range

Recipe 6.28.  Generating Random Real Numbers in a Range

Recipe 6.29.  Generating Normal-Distribution Random Numbers

Recipe 6.30.  Generating Exponential-Distribution Random Numbers

Recipe 6.31.  Creating a Matrix

Recipe 6.32.  Inverting a Matrix

Recipe 6.33.  Calculating the Determinant of a Matrix

Recipe 6.34.  Solving Simultaneous Equations

Recipe 6.35.  Listing of the MatrixHelper Class